diff --git "a/data/dm_maths/full_data_2/189_11255.jsonl" "b/data/dm_maths/full_data_2/189_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/189_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate -1.305 + -7.\nAnswer: -8.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3 - 6*w**2 - 7*w = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 - 38*x**2 + 37*x - 17. Let a be o(18). Let q be (-22)\/(-22)*0\/a. Solve q = n - 3*n + 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13243.4 rounded to the nearest ten?\nAnswer: -13240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -2, 3, -2\/5, 17\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 114. Let l = -43 - m. Find the third derivative of -5*b**2 + 7*b**3 + 3*b**2 - 7*b**l - 24*b**5 wrt b.\nAnswer: -1440*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288*k**3*t - 6453*k**2*t**3 - 178*k*t + 1978*k + 3*t**3 wrt k?\nAnswer: 1728*k*t - 12906*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 62, 190, 442, 860, 1486, 2362?\nAnswer: 3530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28320 and 88500?\nAnswer: 708000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**2\/2 + 2*d. Let b(a) be the first derivative of -3*a**2\/2 + 2*a - 275. Let n = 0 + -1. What is n*b(s) - 2*p(s)?\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 4 - 4)*((-o + 3 - 3)*(o**2 + 1 - 1) - 3*o**2 + 2*o**3 + 3*o**2 - 3*o**3 - 3*o**3 + 2*o**3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 69. Let m be o(-33). Let j(i) = 3*i - 14. Let u be j(5). Which is the biggest value? (a) 0 (b) -0.2 (c) u (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, -2\/15, -2, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*s + 8 = -3, 4*r + 4*s = -12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67005?\nAnswer: 3, 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 79 - (-71 + 113 + -27)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 12. What is z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433553232.\nAnswer: 2, 3, 7, 139, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/7)\/(2*(-1)\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.011 - -66.989. Let i = n + -78.7. Let a = i + 11.7000049. What is a rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-968)\/4840 + 365\/75?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -2\/3, -2\/7, 3\/22, -1\/17 in decreasing order.\nAnswer: 3\/22, -1\/17, -2\/7, -2\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98576?\nAnswer: 2, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 15174*q - 24388*q + 16762*q as g*q + u and give g.\nAnswer: 7548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119281 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i - 2*i)*(3*i - i - i)*(-65 - 45 - 8).\nAnswer: 236*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**4 - 8*y**2 + 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(286) + (sqrt(286) + (sqrt(286)*-2*-4 - sqrt(286)) - sqrt(286)))\/sqrt(11))\/(((sqrt(80)*2)\/sqrt(10))\/((2*sqrt(36))\/sqrt(9))).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5\/9 - 5162*p**4\/3 + 3338516*p**3 - 29953788*p**2 + 89768538*p - 89722134.\nAnswer: 2*(p - 3867)**2*(p - 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 14 - 22. Let r = c + 6. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15763 + -15715. What is the remainder when n is divided by (-104)\/(-6) - 2\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 - 11 + 221*k + 23 - 6.\nAnswer: 221*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 1, e: 6, w: 2, v: 4, d: 2}. What is prob of sequence wvl?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:08 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -132, -128, -120, -108?\n\"Answer: 2*k**2 - 2*k - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 3:12 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*12\/10*5\/2. Solve -2*t = 2*j - t + 1, 0 = -2*j - k*t + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4148*l - 5*k = -4135*l + 2 + 5, 0 = 5*l + 2*k + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1872) + -1 + sqrt(1872)) - sqrt(1872)) + (sqrt(1872) + -1 - sqrt(1872)) + -5 + sqrt(1872) + sqrt(1872) - (1 + sqrt(1872) + -1 + -2))**2*-5.\nAnswer: -37565 + 1200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*u - 74*u - 12. Let j(b) = -4*b + 5. Determine j(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14 - 10 + 3*w**2 + 23 - 3*w - 7*w**3. Let v(x) = -6*x**3 + 2*x**2 - 2*x. Give 2*c(l) - 3*v(l).\nAnswer: 4*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11147964 plus -0.032?\nAnswer: -11147964.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.259 * -32589\nAnswer: -8440.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 6*l**2 + 31*l + 318. Calculate the remainder when u(-8) is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2186889*w**3 + 1093353*w**3 + 1093540*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m**3 + 20*m**3 + 2*m**3.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 912034 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*y - 794 = 51 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 29*w + 28)*(-1 - 2 + 2)*(2*w + w - 2*w)*(5*w**2 - 3*w**2 - 4*w**2) - 42*w**2 + 42*w**2 + 52*w**4.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-522)\/(-48)*45\/(-243)*3 and -49\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b111 (base 12) to base 8\nAnswer: -115735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 2180691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d*(d*d**(1\/3)\/d*d)\/d)\/d)*d)**1*d**2*d*d**0*((d*((d\/(d\/(d*d\/d**(-2))*d))\/d)\/d)**(-5\/14))**(21\/5) assuming d is positive.\nAnswer: d**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*g + 20 = 0. Suppose 3*f - 21 = -9. Suppose s = -g, -4*s = -f*p + 3*p + 32. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pghhghhg. Give prob of sequence hhhp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4159, -4198, -4265, -4360, -4483, -4634, -4813?\n\"Answer: -14*m**2 + 3*m - 4148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -280*w - 3528. Let r be t(-15). Solve 149*n - 53*n = -r for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263 - 255. Let d = -26 - -77. What is the remainder when d is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let l(a) = -110768*a**2. Give z(l(o)).\nAnswer: -12269549824*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/6898 - -493171\/82776. Find the common denominator of u and -47\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79765799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five halves of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2 - 12. Suppose -2*h = 3*x - 13, -5*h = -0*x + 3*x - l. Sort 4, 1, h in descending order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in 372, -0.1, 0.1, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4*v + 156, v + 123 = -3*p + 2*v. Let w = p - -59. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 27 - 51) + 61?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-12))**(-18\/5) assuming i is positive.\nAnswer: i**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -20124000?\nAnswer: 20124000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 2 - 9*u + 6*u + 3*u + 0*u + 0*u.\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269*1256.\nAnswer: 337864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 30 = -12*u. Is 576\/(-3)*u\/8 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 4*x. Let z(g) be the first derivative of -1\/2*g**2 - 1 - g. Calculate z(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = v - 2, 0 = -h + v - 1. Suppose h*m + 3 - 7 = 0. Let p = -40.1 - -40. What is the second smallest value in -2, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*g - 178530, 276*g = 280*g - 4. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 752 = 776. What is the remainder when 107 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1939\/4 + -495. What is the common denominator of -88\/15 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, y: 2}. Give prob of sequence yss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -10301645?\nAnswer: -10301646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 q when four letters picked without replacement from jjjqjjjqjcjjqcjjj.\nAnswer: 33\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 + 161*w - 1108. Calculate t(-38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o + 22. Let a be h(-5). Let y = 28 + a. What is the remainder when 39 is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 - 18 = 0. Suppose 3*h + n*f + 4 = 4*h, -2*h = -5*f - 7. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 170210, 340488, 510886, 681464, 852282?\n\"Answer: 10*d**3 + 170208*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 3*o**5 + 2*o**4 - 2*o - 3*o**2 + 4*o**4 + 3*o**3 + 3*o**4.\nAnswer: o*(o + 1)**3*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-10) + 2 + -1 + -1. Let g = -78 + 57. Let p = -20.7 - g. Which is greater: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 49*f**5\/60 - 145*f**3\/6 - 22*f**2 - 27. Let i(z) be the second derivative of a(z). Find the first derivative of i(j) wrt j.\nAnswer: 98*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + 6. Suppose -4 - 17 = 3*y. Let q be b(y). 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: Evaluate 0 + 1 - (0 + 4) - (176 - -514 - 674).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2351869.2 microseconds?\nAnswer: 0.000653297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303714 divided by -101238.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 8*f - 5*p - 5, 5*f + p + 17 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*i + 197 + 451 + 2178*i**2 + 6*i**5 + 110*i**4 + 738*i**3 - 417*i + 653*i + 1461*i = 0 for i.\nAnswer: -6, -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.36 + 17. Let a = -1.360001821 - v. What is a rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13027*l**2*y**3 - 27*l**2 + l*y**3 + 27346093*y**3 wrt l?\nAnswer: 26054*l*y**3 - 54*l + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 12\/(-6) + (-32)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*g + 2*o = -258, 4*o + 8 = 3*g + 62 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28, -0.2, -4, 58\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 15) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164926, -329851, -494776?\nAnswer: -659701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 69\/115 + (-2154)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (516\/(-72) + 9)*(0 + -2)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1872) + 0 + sqrt(1872) - sqrt(1872)) + -1 - (0 + -1 + sqrt(1872) - sqrt(1872))) + (2 + 2*sqrt(1872))*-6)*-3.\nAnswer: 108 + 1188*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30547 + -1?\nAnswer: -30548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - 58. Let u = -14 + 44. Let l = u + -10. Calculate the remainder when f is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313823.6 millilitres to litres.\nAnswer: 313.8236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 0.06 (c) 3 (d) -1 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/(23\/((-552)\/(-160))).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18130720?\nAnswer: 2, 5, 47, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 2\/27 (c) -3 (d) -4 (e) -2 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2002\/3 and 666 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3701 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a + 20 - 20 + (-1 + 6 - 7)*(4*a + a - 9*a).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(951\/(-1268))*(0 + -6). What is the fourth biggest value in 1, -197, 2\/7, l?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5376*a + 37 = 5526*a - 2363 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111\/14 - -55\/7. Let x = 3.21 - 0.21. Let j = -0.02 + -4.98. Which is the third biggest value? (a) r (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 39 = -13*x, 0 = -3*x + 60*n - 64*n - 64 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3826725 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*l**5*y**2 - l**4*y**2 + 10*l*y**2 - l + 2*y wrt l?\nAnswer: 4740*l**3*y**2 - 12*l**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -36241967, -36241968, -36241969, -36241970, -36241971?\n\"Answer: -b - 36241966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156002 is divided by 6787.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3))**(11\/6)\/((p**(1\/10)\/p)\/(p**(-1\/14)*p)))**(3\/4) assuming p is positive.\nAnswer: p**(767\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2. Let x(a) = -3*a. Suppose -7 = 2*b + 13. Let y(z) = 2*z. Let o(s) = b*y(s) - 6*x(s). Give o(v(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k**2 + 16*k - 20*k**2 + 38*k**2 to the form j + x*k**2 + y*k and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 - 137*l**2 - 429*l + 2270894 wrt l.\nAnswer: 6*l**2 - 274*l - 429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3 + 1. Let a(x) = 1 + 0 + 6*x**z - 4*x + 3*x - x. Calculate a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16309, -65167, -146501, -260233, -406285, -584579, -795037, -1037581?\n\"Answer: 13*u**3 - 16316*u**2 - u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose 0*c - 5*v = -x*c + 59, -4*v + 32 = 4*c. Suppose 5*a = -5, -37 + 200 = 3*k - 4*a. Calculate the remainder when k is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 2\/3*d**3 + d**2 + 0*d + 2 - 1\/4*d**4. Let t be r(-2). Solve -5*a + t = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 15*b + 1\/6*b**3 + 1\/2*b**2 - 1\/6*b**4 + 0. Factor h(g).\nAnswer: -(g - 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -238891, -238458, -237733, -236716, -235407?\n\"Answer: 146*s**2 - 5*s - 239032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -860 + 2950. Suppose 0 = 22*q - 12*q - v. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/85 and 32\/1167.\nAnswer: 99195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2678*((-152)\/112)\/(-19). Let h be (-575)\/(-3) - 6\/9. Let p = h + w. Which is smaller: -1\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 6 + 7 + -37.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494*a - 671 = -390*a + 4633 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - n**3 + 2*n - 4 - 2*n**4 + 13 - 9 to i*n**2 + k + f*n**4 + m*n**3 + c*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19, -14, -1, 26, 73, 146, 251, 394?\n\"Answer: f**3 - 2*f**2 + 4*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14265 - -918?\nAnswer: 15082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 2*m**3 + 6*m**2 - 7 - 2*m**2.\nAnswer: 2*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (18\/5)\/(6\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((14 + 4)\/(-6))\/1. Let v(w) = w**2 + 2*w - 4. Give v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 8 + 0)*(-3 + 3*k + 3).\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m*m**(2\/3)*m)\/(m\/((m\/(m**(2\/7)*m))\/m))**(2\/25) assuming m is positive.\nAnswer: m**(4262\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let v = -1.9996 + w. What is v rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 250 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**2 + 9*s**2 - 16*s**3 - s**2 + 29 - s**2 to d*s**3 + r*s + l + w*s**2 and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 287.41426 * -5.\nAnswer: -1437.0713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j + 18*j - 6880. Let f = -8 + 5. What are the prime factors of j\/2 + f*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/36 - 70\/140?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 12*n - 2*g - 64, -5*n + 3*g - 113 = 0. Let b(f) = -3*f + 4. Let s be b(8). Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 42*d - 6*d**2 - 5 - 6*d**3 + 13*d**3 - 40*d - 8*d**3. Let h(m) = -3*m + 3. Let t be h(3). Determine n(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.81 + 127.19. Is -1 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 31949 = -73*o - 9*c, -4*o = -2*c - 31998. Is 151 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.3 (c) -0.09 (d) -1\/3 (e) 4 (f) -1\/4 (g) 2913\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 126424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uifo when four letters picked without replacement from qmmfifimqmmoffqqqfu?\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -54*l**2 + 4*l - 6. Let n(m) = -215*m**2 + 18*m - 22. What is 9*j(g) - 2*n(g)?\nAnswer: -56*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 13*f**2 - 15*f - 21. What is the thousands digit of c(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 986\/117 or 7?\nAnswer: 986\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 491 - 307. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110000 + -10?\nAnswer: -1010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3145*i - 6236. Let y be h(-2). Solve 96 = 6*t + y for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1392)\/(-1044))\/((-2)\/15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 3*f)*(11*f - 53 + 108 - 57).\nAnswer: -11*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -6 + 1 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - -2462605?\nAnswer: 2462676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 160.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.533 + 33.7. Let h = -2.74 - p. Let z = h + -1.16. What is z rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2. Let c(q) be the first derivative of q**3\/3 + 2*q - 38. Calculate v(c(w)).\nAnswer: w**4 + 4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1858aa3 + 7?\nAnswer: -1858a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18737 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 5\/((-5)\/(-2)) - 4. Suppose h = -13*i + 5*i + 32. Which is the closest to -1\/2? (a) -3 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:19 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 12, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 145*s**2 + 15*s - 37. Is w(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221285, 442526, 663767, 885008, 1106249, 1327490?\nAnswer: 1548731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -1 - (-6)\/8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8342*g - 8342*g + 2*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235.2 take away -15.7?\nAnswer: 3250.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4477 divided by -37?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45895*k**4 + 30107*k**2.\nAnswer: -1101480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/4*4\/(-40). Suppose -5*n = -7*z + 3*z, -4*z - 5*n = -40. Let l be (-78)\/135 - (-4)\/z. Put x, l, 3 in decreasing order.\nAnswer: 3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 40 - 20 + 8*l + (6*l + 4*l - 4*l)*(3 - 1 + 0) in the form r*l + g and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -531, -795?\nAnswer: -1059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978099 to the power of 1\/2, to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*x + 101*x - 3465 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 15. Determine m(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.4, -7.3, 3\/8, 10632?\nAnswer: 10632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqj when three letters picked without replacement from qjqqjjqqjq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(-5*p + 253 - 253).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11357 and 415223.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10495959867023 + -88\nAnswer: 10495959866935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 20. Is -2 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 316 + 5*j + 319 + j**2)*(-10 - 5 - 13)*(-2*j + 2*j + j).\nAnswer: -56*j**3 - 140*j**2 - 84*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312 - 0?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335306733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 0*n)*(-1 - 3 - 4 + (6 - 3 - 4)*(2 + 2 - 5) - 3 + 4 + 2)*(3 + 0 - 2).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 61. Let m be k(12). Let s = -93 + m. Sort 3, s, -1, -3.\nAnswer: -3, -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n - 5. Let v(z) = -21 + 75 - 30 - 26 + 3*z. Let g(c) = -2*l(c) + 5*v(c). Give g(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (142\/(-355))\/(2\/25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 2*u - u - 2 + 2*u + u + u + (2 + 1 - 2)*(2*u + 0 + 0) as t*u + s and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f - 1. Let q(w) = 1657*w**2 - 22*w - 5. Let t(z) = -3*k(z) + q(z). Find the second derivative of t(m) wrt m.\nAnswer: 3308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**5*c*(c*c**(3\/7))\/c*c*(c**5*c)**11)**(-2\/137) assuming c is positive.\nAnswer: c**(-1042\/959)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 0*(-2)\/(-20) + -5. Let z = 3 + -5. Which is the nearest to -1\/14? (a) h (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - h**3 + h**3 - 1 - 3*h**2 - h**3. Let x = 22 + -25. What is the units digit of c(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let s(u) = 8*u + 1. Let f(y) = -54*y - 4. Let l(h) = f(h) + 4*s(h). Determine l(c(n)).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - (-3 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -839990 - 869*i + 2501*i**2 + 839990 wrt i?\nAnswer: 5002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -105\/2, -1304, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 2*a**2 + 3*a**2 - 5 + 14. Let p be 30\/(-10) + 3*1. Give h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:13 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06453 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9885.243ml in litres?\nAnswer: 9.885243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 73 = -5*b - 8*v + 9, 4*b = 10*b + 7*v + 121 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3 - z + 6)*(-25 - 43 - 84).\nAnswer: -304*z - 456","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5589972 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-117)\/(-4)))\/(-1*16\/8*-1)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 25*l = -75 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 19*m**2 + 89*m + 45. Let k be r(-7). Solve 12 = z + 5*b, -5*z + k + 10 = 5*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-12) + 2\/(-8). Let o be 57\/(-21) - (-6)\/(-21) - -3. Sort s, 4, o, -1 in decreasing order.\nAnswer: 4, o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4\/7 - 736*n**3 - 1648604*n**2\/7 + 6661552*n\/7 - 5007792\/7 = 0. What is n?\nAnswer: -646, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-4697)\/(-2156)*8)\/(7\/(49\/(-12)))).\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((3*(sqrt(168)\/sqrt(3) - sqrt(56)) - sqrt(56))\/((sqrt(72) - (-1*sqrt(72) + sqrt(72)) - sqrt(72) - sqrt(72)) + sqrt(8) + sqrt(8)))**2)*3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 285438 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 2 + 3 - 2. Let z be x(0). Which is bigger: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45224 and 9396?\nAnswer: -424924704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*d**2 + 241*d**2 - 617*d**2 + 214*d**2.\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let d(z) = 15*z**2 + 413 - 844 + 431 - 19*z**2. What is 2*d(v) + 2*h(v)?\nAnswer: -8*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17 - 7 = 0. Let q = 1123.8 - 1124. Put 5, 1\/2, q, n in ascending order.\nAnswer: q, 1\/2, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*13\/(234\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6955141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.304 - -309?\nAnswer: 308.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*p**3 - p**3 + 13*p - 5*p**3 - 9 - 6*p**3 - 8*p**2 + 7 in the form t*p + a*p**3 + l + v*p**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let f(j) = -j**2 - 6*j - 5. Let u be f(n). Suppose 0 = -r - 3*q - u*q, -4*q = 4. What is the third biggest value in r, 1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -2.06. Let y = l + 1.8. Let t = 479\/8 - 60. Put -0.5, y, t in ascending order.\nAnswer: -0.5, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -206601?\nAnswer: 206563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99281896 divided by 2?\nAnswer: 49640948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -834*s**2. Let f(n) = 8*n. Give f(q(m)).\nAnswer: -6672*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.983076 rounded to one decimal place?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-1)\/3 + 6380\/33 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -379*y + 4696. Give q(12).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 46*s + 73. List the prime factors of n(6).\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627986*q**3 + q**2 + q + 98252 wrt q.\nAnswer: 3767916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 25*v + 2. What is h(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3, 4*x - y + 5*y = 0. Let m be 2\/(-3) - 7\/x. Let p = 2\/3 + -1\/2. Which is the third biggest value? (a) m (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 2:59 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddedddedededddded. Give prob of sequence ddee.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/177087 and 53\/684.\nAnswer: 40375836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -336?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -9*u**2 + 109*u + 751. Calculate z(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u + 35. Let f be z(8). Suppose 5*a = 4*a - f*a. Suppose -v + a*j - 5*j = -62, 3*v - 154 = j. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 452 divided by -4.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305740 = 32*l - 36*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4773 - 3*h - 94 + 619.\nAnswer: -3*h + 5298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -5*p, 11*p - 5*c + 10 = 6*p. Let x be p\/63*(27 - 18). Suppose 0 - 6\/7*r - x*r**2 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0049878 to five dps.\nAnswer: 0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 12. Suppose 4*r - 22863994 - 17936006 = v*b, 3*b + 30600000 = -5*r. What is b rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162449\/20 + 8118. Let s = -140 - -285\/2. Find the common denominator of s and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, 0 in decreasing order.\nAnswer: 21, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8006 is divided by 3281.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1038\/7, -0.224, 2?\nAnswer: 1038\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 2 = 0. Let p be 14\/h + (-4 - -2). Suppose 3*r - 16 = -d - 0*d, 20 = p*d. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/85 (b) -0.1 (c) -0.3 (d) -195 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*x - 4*o, 3*o - 365 + 334 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + 2*f**5 + 4*f**4 - f**3 + f**3 + f**5 + (-2*f**3 + 0*f**3 + 3*f**3)*(-f**2 - 4*f**2 + 3*f**2) + f**5 + 22*f**3 - 4*f**2 - 22*f**3.\nAnswer: 2*f**5 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/((d**(1\/3)\/d)\/d)*d\/(d\/(d**7\/d)*d)*d**0*d)\/(d**7\/d**4)**6 assuming d is positive.\nAnswer: d**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b - 2 + 6*b - 2*b**3 + 1. Let p(h) = h**2 + 2*h. Let m be p(-2). Suppose -2*w = -2 - m. What is f(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 325*d**4*h - 2*d**3*h**3 + 4*d**2*h + 51*d**2 - 6*d*h + 2*h**3 wrt d.\nAnswer: 7800*d*h - 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 2. Let n(l) = -2*l - 6. Let f be n(k). Solve 3*t + 0*t = f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1154564638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 2437\nAnswer: -30\/2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 37*v**2 + 118*v + 307. What is the ten thousands digit of q(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1986 and 78728019.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26375 is divided by (40\/20 + 8\/6)*588\/70.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -83.19, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11597*g**2*j - 195*g**2 + 90150*g*j + 30*g + 4 wrt g.\nAnswer: -23194*j - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 - 119*n + 908. Give u(8).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -4*w - 237 + 271, -2*m - 2*w + 12 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(704) + ((1*sqrt(704))**2 - sqrt(704))) + 2.\nAnswer: -4222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*q - 11300 = -12672 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 195738001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -6.1\nAnswer: 4.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -78. Calculate the highest common factor of 475 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000874408946 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -572*y + 572*y + 2*y**4 + 14*y**4 - 14*y**2 wrt y?\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 5*k = -280, 2*f + 336*k = 333*k - 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36343 (base 7) to base 5\nAnswer: 300224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*p - 264, 0 = -p + 3*p - 8. Suppose a + g = 3*a. Is a a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -271?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**3 + 2*u**2 - u - 3. Determine x(3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 < -2068\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, v: 3, i: 3, x: 4, b: 1}. What is prob of picking 2 h and 1 i?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277982 is divided by 138374.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -m + 8, 3*u - 4*u = m + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*l = -113*l - 210. Calculate the remainder when 208 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358556831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6}. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8 = 44. Let h be 640\/(-6)*(10 - o). Suppose 4*b + s - h = -0*s, -3*b + 259 = -4*s. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 12.025. Let t = -0.375 + o. Let m = 0.4 + -3.4. Sort 2\/15, t, m in descending order.\nAnswer: 2\/15, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451487 and 199524?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 + 5*l + 2. Let n = -22 + 18. What is a(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -372374.26.\nAnswer: 37237.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6511935, 6511930, 6511925?\n\"Answer: -5*f + 6511940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-90)\/(-4))\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(-12))\/((-4)\/16). Let y be q\/(5\/((-40)\/(-6))). Solve 3*c = 3*d + 24, 3*c = -d - 0*d + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 713 + -639. Is q a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2310353*y**2 - 2310353*y**2 + 897*y**3.\nAnswer: 897*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 29.6, 0.5, 0.46, 0.84, 2 in ascending order.\nAnswer: 0.46, 0.5, 0.84, 2, 29.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.897\nAnswer: 0.7176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 9*q + 9. Let x be y(4). Solve -1 = -5*g - j, 2*g - 24 = -2*g + x*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8299167.\nAnswer: 3, 2766389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*y - 21. Let u(j) = j**3 - 3*j**2 + 2*j. Let f be u(2). Suppose h - 5*i - 18 = 0, 0 = h - i - 9 + 3. Sort h, y, f in ascending order.\nAnswer: f, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**5\/11 - 180*n**4\/11 - 368*n**3\/11 = 0?\nAnswer: -2, 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 77*i**2 - 250*i - 796. Give s(-80).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 7*y**2 + 8*y + 15. Let n be g(-6). Suppose -4*x - 5*b + 35196 = 0, -6*x + n*b + 43958 = -x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203711\/391699 - 3\/5087. Find the common denominator of i and (5\/(-14) - 0) + 1.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*y + 984861 = -584862. Which is smaller: y or -27540?\nAnswer: -27540","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16838499 and 8256.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**4\/3 + v**3\/6 - v**2. Suppose -t - 4 = t. Give c(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 201*r + 402. Let i(b) = 20*b + 40. Suppose -3*s = -13*s - 20. Let p(z) = s*j(z) + 21*i(z). Differentiate p(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43407 and 924651?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Suppose -a - 6 = m*o, -8 = o - 3. Solve h + 3 = 8, -4*q - a*h = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbz when three letters picked without replacement from {z: 1, b: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 78*d**2 + 679*d - 44. Calculate a(68).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -33*f**2 - 21*f - 36. Calculate x(-2).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7096, 28565, 64348, 114451, 178880?\n\"Answer: c**3 + 7151*c**2 + 9*c - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*2)**2 - (sqrt(12)\/sqrt(150))**2.\nAnswer: 9798\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z + z - 5*z)*(-2*z + 2*z - z) - 3*z**2 - 202 + 202)*(-6024 + 12*z**2 + 6021 - 4*z - 5*z**2).\nAnswer: -7*z**4 + 4*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -15*r**2 + 0*r**4 + 0 + 0*r**3 + 0*r + 7\/30*r**5. Let n(t) be the first derivative of t**2\/2 - 7. What is n(o(g))?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let h be (-35)\/(-2) + (-1)\/v. Suppose -4*t + h + 14 = -4*z, -14 = -t + 3*z. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393803 is divided by 73.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 - 50*i**2 + 578*i - 517. Let h(y) = -5*y**3 + 49*y**2 - 577*y + 521. Let v(n) = -3*h(n) - 2*z(n). Factor v(d).\nAnswer: (d - 23)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3908 and 31342160.\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1998 divide 28997477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-70)*385\/66*-10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011222021 (base 3) to base 8.\nAnswer: 55414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n - 104. Give a(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let w = 26 - 30. Let k(s) = 7*s**2 + 3*s - 6. Let g(d) = w*a(d) - k(d). What is y in g(y) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**8\/6720 + c**5\/12 - 5*c**4\/24 - 3*c**2 + 7*c. Let v(f) be the third derivative of y(f). Let r(z) = 27*z. What is v(r(p))?\nAnswer: 2187*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - 1 - (-11 + 15 + (21 - 4) + -19).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k - 1. Let m(z) be the second derivative of -27*z**5\/20 + z**4\/4 + z**3\/6 - z**2\/2 - z + 61. List the prime factors of m(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*g - 28 = 132, -5*m + 4*g + 308 = 0. Solve 0 = -180*t + 163*t + m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 4*p - 18. Let y(a) = -3*a**3 + 3*a**2 + 2*a + 2. Let n be y(-2). Let j be 6\/(-18) - n\/(-3). Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 266700565 and 5235.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 74916?\nAnswer: 7492a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51313773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**5\/12 + 5*i**4\/8 - 6*i**2 - 1. Let t(p) be the second derivative of f(p). Factor t(w).\nAnswer: -5*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 + c**5)*(1 - 3 + 4 + (-3 + 4 + 0)*(-1 - 2 + 0 + 0 + 1 + 0 + 4 - 1 - 2 + (-3 + 1 + 1)*(5 - 3 - 4) + 1 + 1 + 0 + 5 - 2 - 2)).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26438.41 kilograms?\nAnswer: 26438410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 q when three letters picked without replacement from kklilqxlxikkq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*z - 8044 = 5114 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2153 - -2150. Which is the nearest to -0.2? (a) v (b) -11 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10439)\/(-104) - (-3)\/(-8). Let k = n - 167. Let z = 186 + k. Calculate the remainder when z is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a - 3*a + 3*a + 2*a - 3*a + 2*a - a - 6*a + a + 3*a + (1 - 3 + 1)*(-a + 2 - 2))*(-2896 - 493 - 224 - 3274 - 490).\nAnswer: 14754*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.275, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z - 5*b + 1530, -2*z + 3*b + 1039 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1.3 (b) 5 (c) -1\/25 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/255 and -49\/765.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 2037a?\nAnswer: -2034b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 430 or 407?\nAnswer: 430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:33 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -1\/7, -6, -0.3, 0.1, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + -4 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202 = 1747*o - 18672 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/135)\/(42\/(-54))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + -102.04. Let l = z - -10. What is the third smallest value in 2\/9, -1, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 4, -0.05, -44, -0.3, -161\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - h - 7 = 0, 16 = -0*m + 5*m - h. Suppose -m*o = 2*c + c - 9, 5*c = 3*o + 23. Differentiate c*k**4 - 5 - k + k + 1 wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -9*t**4\/4 - 3*t**2 - 5*t + 1. Let s be l(5). Round s to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1688, -6754, -15198, -27020, -42220, -60798, -82754?\nAnswer: -108088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5460 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.98 to 1 dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1087, -1099, -1125, -1171, -1243?\n\"Answer: -g**3 - g**2 - 2*g - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 15 = 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 66968100 to the nearest one hundred thousand.\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkr when three letters picked without replacement from rrkkkkrrrrjkrkkkkrk?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/w**14*w)\/w)*(w\/w**(-2\/11)*w*w)\/w)\/(w*w**(-3)*w*w)**(-7\/10))**(-2\/7) assuming w is positive.\nAnswer: w**(-356\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 5899 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 2*x - 1. Suppose 0*r - 11 = -r - 5*f, -r + 2*f = -4. Let z = -5 + r. Let w(m) = 3*m + 4 + z - 5*m**2 - 3. Give -4*v(j) - 3*w(j).\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 116000. Let h = 3 - 5. Let z = -2 - h. Let b be w(z). Round b to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -156.2 + 155.2. Put 2\/15, -32, y, -4, 3 in decreasing order.\nAnswer: 3, 2\/15, y, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + v. Suppose -76*q + 48*q + 4424 = v. Calculate the highest common divisor of q and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 2*l - 5. Suppose 6*o - 14 = 4. Put l, o, -1 in decreasing order.\nAnswer: o, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72 - 136 + 124)*(27*a + 2 + 4 - 4).\nAnswer: -2268*a - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from ymmsf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71629667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(90))\/sqrt(9) - sqrt(10))*3)\/(1*sqrt(2)*2 - sqrt(50)*1).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 535*i**2 - 16*i + 6. Let p(a) = 1068*a**2 - 28*a + 11. Calculate 7*h(s) - 4*p(s).\nAnswer: -527*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -294, -1090, -2644, -5208, -9034?\n\"Answer: -42*g**3 - g**2 + 7*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 2*v)*((10*v - 25*v + 5*v)*(14*v + 22*v + 0*v) + 0*v + 0*v + v**2)*(2*v - 2 + 2).\nAnswer: -1436*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 4*a**2 + a + 3. Let d be (3\/3*-3)\/1. Let x be b(d). Suppose w = -w + x. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 9*j**2 + 8*j + 6. Let c be d(8). Suppose -h - 80 = -c*h. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136 - -102?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**7\/70 + 3*b**6\/40 + 3*b**5\/20 + b**4\/8 + b**2 - 4*b. Let l(h) be the first derivative of z(h). Find g such that l(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.303372426 to 5 decimal places.\nAnswer: -0.30337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 6. Suppose -5*n - p = -3*n - 3, 0 = -n + 3*p - 2. Is (-29)\/(-2)*c*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a6c + -950?\nAnswer: 311c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - 5*z**2 - 10*z**2 + 21*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-2)\/(-4) - (-17 + 22)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 68. Let y = -19 - p. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.36*-0.01.\nAnswer: 0.5536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-5 + ((-64)\/(-112))\/((-16)\/(-294)). Find p, given that 0 + 1\/2*p**2 - r*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62699 is divided by 234?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8163107\/5148 - -20610\/13. What is the common denominator of -93\/220 and f?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2 + 3)*4\/(-6). Let y be i - (-20)\/(-8)*-4. Suppose 0 = -3*b + 1 + y. Solve 3*w = -b*x, x - 2*w = -w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**3 - 5\/2*q**2 - 7\/12*q**4 + q + 1\/20*q**5 - 3. What is b(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 2221?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-611)\/(-91) + (-2)\/(-7). Let w(f) = 2*f**2 - 15*f + 10. Let j be w(u). Suppose q + j*t = -t - 20, -q + 2*t + 10 = 0. Solve v - 3*v - 10 = q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19698 - -19781. Solve 200 = 108*a - y*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 88010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.107 + -16.907. Sort 4, 1\/5, 42, -4, b in increasing order.\nAnswer: -4, b, 1\/5, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2 = 3*u, 0 = u + 4*u - 3*f + 4. Suppose 0 = 128*j - 126*j - 4. Let k be (u\/(-3))\/(j\/(-9)). Which is the second biggest value? (a) 3 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:49 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.155? (a) 11\/4 (b) -5 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*r*v**5 - 3*f*r*v**3 + 2*f*r*v**2 + 2*f*r - 2*r*v**3 + 2*r - 6*v**2 wrt v.\nAnswer: -120*f*r*v**2 - 18*f*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 11*w**2 + 12*w - 15. Let m be u(10). Let n(y) = -m*y - 3*y + 9*y. Let x(q) = -q**2. Give x(n(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1 (c) -5 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 22*z**2 - 46*z - 48. What is the tens digit of n(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2007, -1921, -1669, -1167, -331, 923?\nAnswer: 2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*a**2 + 32*a**2 - 19*a**2)*(1 + 2 - 2)*(6 + 3 - 4)*(-4 + 0 + 5).\nAnswer: 305*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4800 = -4*u + 2*u. Suppose 0*k = -k - u. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(76) + (sqrt(76) - (1 + sqrt(76))*-1)))**2 - -3*((sqrt(76) - (sqrt(76) + 1 + 3)) + -5 + 1 + sqrt(76)).\nAnswer: -54824 - 954*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from jdvvvvtvdvtdjvjjjtvv.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from qqnqqqnnqqqqqqnqqq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 8 = 24 + 28 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6655?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 327, 492?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -30. Let g = y - 5. Calculate the remainder when g is divided by (-324)\/(-90) + (-1)\/20*-8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 12*l. Let n be z(8). Let g = 100 + n. Suppose g*y - 242 = 5*a + 129, 2*a = 2*y - 186. What are the prime factors of y?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**2 + 7430*r + 930120 = 0?\nAnswer: -1348, -138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3134?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 30*j**2 + 3*j + 70. Let b(x) = -16*x**2 - 2*x - 35. Let d(r) = 7*b(r) + 4*y(r). What is the units digit of d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h + 6. Let y be l(3). Let x(f) = 3*f**2 - 4*f**2 + y*f**2. Let s(t) = -2*t. Give x(s(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**6\/20 - k**5\/12 + k**4\/4 + 2*k**2. Let h(m) = m**3 + m**2 - m. Determine -5*h(t) - o(t).\nAnswer: t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 5*n + 9. Let m be u(-4). Suppose m*y = 2*y + 27. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15865862 + -15865862.14699977. Let x = g - -0.147. Round x to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 12. Let x(r) = r**3 + 2*r**2 - 3*r - 5. Let a be x(l). Let d(y) = -12*y - 1. Determine d(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7071, -6974, -6875, -6774?\n\"Answer: g**2 + 94*g - 7166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s + 2*r, 9*s - 3*r = 5*s + 1. Solve 0 = -n - s - 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {l: 2, q: 2, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 11*x - 21. Let j be u(9). Suppose -2*y + 17 = 4*c - 5, y + c - 9 = 0. Let h be -3*(2 + y\/j). Is 2 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(1*sqrt(832) + sqrt(832)) - sqrt(832)) + 1 + 4*(sqrt(832) + -1)*1)**2*-6.\nAnswer: -843702 + 3744*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from oeooobb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*a**2*i + 188*a**2 + 432*a - 295956542*i wrt a?\nAnswer: 76*a*i + 376*a + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*k**4 + 823*k**3 - 821*k**3 + 2 + k - 3 + 0*k to a*k**4 + g*k**3 + r + o*k + t*k**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*6\/(-24) + (-1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122962, 491858, 1106684, 1967440, 3074126?\nAnswer: 4426742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561 is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -13 + 12 - (-10 - -1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*r + 219 = -105. Let d(k) be the first derivative of 72*k + 2\/3*k**r - 12*k**2 + 1. Factor d(w).\nAnswer: 2*(w - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:12 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 166 = -5*i, 0*h + 3*h - i = 266. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 375 + -377. Let w(x) = -x + 2. Let o be w(-2). Which is the third biggest value? (a) 3 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -1.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3197222 and 4257?\nAnswer: 316524978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(((-7854)\/(-36))\/77)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -22*2*(-14)\/8. Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589189687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m + 0*m = 0. Suppose 5*v + 10 = m, -3*r = -2*v - v - 12. Find the third derivative of -20*c**5 + 9 - 9 - 10*c**2 - 15*c**r wrt c.\nAnswer: -1200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1439 - 1441 - 6*f**2 + 2880.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*a + 3*f, 0 = a + 2*a + 3*f - 24. Suppose 0 = 5*y + 5*w - 40, 2 + 34 = a*y + 4*w. Suppose x - 75 = -y*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 17 + 23 + 57 + k to b + p*k and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 471002 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/((v*v**2)\/v))\/v))\/v*v)**(2\/41)\/(v**(-2))**27 assuming v is positive.\nAnswer: v**(2218\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 2. Let z be ((-80)\/48)\/((-1)\/(-3)). Let y be o(z). Solve 0 = -j + 2*j + 5, p + 2*j + y = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 15. Solve 2*f - 1 - 2 = -k, 3*f + z*k = 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 + 7*b + 69. Let g(u) = -u**2 - 2*u - 23. What is 2*a(m) + 7*g(m)?\nAnswer: m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -247970 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91887285*b**3*q + 30*b**2 - 47595*b*q - 5*q wrt b?\nAnswer: -551323710*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 6. Let t be h(-8). Let z(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - 7*l**2\/2 + 5*l - 3. Let g be z(6). Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-11 + (-116)\/(-12))*-723 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 21*q**2. Let i(n) = 17*n**2 + 9*n + 9. Let d(u) = -4*u**2 - 2*u - 2. Let c be (-2 + 11\/1)\/1. Let y(z) = c*d(z) + 2*i(z). What is f(y(p))?\nAnswer: 84*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = 10*d - 1366. Let p(w) = 2 + 1 - 6 - d*w. Is p(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 plus 49736905?\nAnswer: 49737663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 49145 + -343349\/7. Let q = -18 + 113. Let j = o - q. Put -1\/6, j, 1\/2 in descending order.\nAnswer: 1\/2, j, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 12 - 16)*(7 + 0 + 2)*(2*w - 4*w + w)*(54 - w - 54)*(-2*w**2 + w**2 + 3*w**2) to the form i*w + n*w**3 + p*w**2 + k + o*w**4 and give o.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892\/28 - (-4)\/14 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2645*o**5 - 22540*o**4 + 66765*o**3 - 78030*o**2 + 28620*o - 3240 = 0.\nAnswer: 6\/23, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.35 in -4\/5, 0, -2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53657801419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 3*y**2 - 12*y + 4. Let r be o(5). Let i be 119\/34 - 3\/r. Let t(c) be the first derivative of -c**4\/4 + 5*c**3\/3 - 2*c - 1. What is t(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by 228?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -774*g**3 - 4*g**2 + 775*g**3 - 2 - g**2 + g in the form y*g + s + u*g**3 + j*g**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1216 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 6. Let h = -34 + 35. Let p be (16 + 25\/5)*h\/3. Let s(z) = -3*z + 7. What is p*f(d) + 6*s(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -308778 less than -308779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1729*a**3 - 3536*a**3 - 2867*a**3 - 1825*a**3.\nAnswer: -9957*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*d = 4*l + 3, -2*l - 14 = 2*d for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -21*g + 1. Let y be p(1). Let f be 1\/2 - y\/8. Factor r**3 - 16*r**2 - 4*r + 16*r**2 + f*r.\nAnswer: r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (128*h + 18*h + 16*h)*(6*h - h - 2*h) + 7 - 2*h - 204*h**2 + 201*h**2 + 3 in the form x*h**2 + d + j*h and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 408*x - 417*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3677.90666 - -3656.71. Let w = t + 21.2. What is w rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9))**47*d\/d**(10\/9)*d**(-5) assuming d is positive.\nAnswer: d**(-140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.4 (b) 12 (c) 2\/9 (d) 2 (e) -904\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-3 + 0 + 5) + 1 - 3 - 4)*(11*k**4 - 19*k**4 + 6*k**4).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 1, v: 2, h: 6, m: 4}. Give prob of picking 2 m, 1 v, and 1 b.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 2. What is the units digit of m(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -945 and 15.5?\nAnswer: -14647.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 29399?\nAnswer: 352788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 0*c**4 + 2*c**2 + 7\/20*c**5 + 0 + 0*c**3 + 9*c. What is the derivative of t(f) wrt f?\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 16 = 10. Suppose -5*g + k = -4*g. Solve -3*i = -i + 3*t + g, 5*i - 3*t = 37 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in 0.3, -4, -1751.48, 12, -5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 2*d**3 - 3*d**3 + (-2*d**3 + d**3 - 2*d**3)*(3 - 4 - 2) - 2*d**3 - 4*d**3 + 3*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2867 - -1002. Let v = 1 - -1. Suppose v*g = -4*f - 3*g + d, 0 = -2*f - 4*g + 1930. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40234 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1344244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2266 - ca?\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 838913 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231218 is divided by 57777?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -10\/9 (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*-6*(-3)\/(-30). Suppose -2302 = -5*p + 4*s, 935 + 445 = a*p - 3*s. What are the prime factors of p?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18961 - 758547\/40. What is the common denominator of 117\/20 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-8)*a)\/(a*a*a**5)*(a\/((a*a\/(a**3*a*a*a))\/a))\/((a*a**(-1\/7))\/a) assuming a is positive.\nAnswer: a**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d0c + 6?\nAnswer: d13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -26. Suppose -16*f - 4*f - 260 = 6*f. Sort w, -2, f, -5 in decreasing order.\nAnswer: w, -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.93 and -0.3.\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-15)\/(-9)*-3. Suppose z = s + 2*s + 15, 4*s + k = -4*z. What is the tens digit of z - 5\/((-15)\/258)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 176366, 352320, 528272, 704222, 880170?\nAnswer: 1056116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3)\/k**1)**(-2\/59))**(-15) assuming k is positive.\nAnswer: k**(-50\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4663, 4648, 4633?\n\"Answer: -15*r + 4678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/(y\/((y\/(y\/((y\/y**26)\/y)))\/y)))\/y)\/y*y\/y**(2\/59)*y)**(-29) assuming y is positive.\nAnswer: y**(44544\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66.1 + -67.1. Which is the nearest to -2\/3? (a) d (b) 6 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/60 + m**4\/24 + m**3\/6 + 2*m**2. Let v(x) = -x**3 + 5*x**2 + 6*x + 4. Let k be v(6). Suppose 3*t = k*t. Determine y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25835\/12 - 2154. Let x = 9987 - 339593\/34. What is the common denominator of x and q?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1094, 2181, 3268, 4355, 5442?\n\"Answer: 1087*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -184. What is the greatest common factor of 448 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a - 162*a = -32*a - 736 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 345 and 7.\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let w(r) = -r**3 - 4*r**2 + 1. Let f be w(-4). Let p be k(f). Let u = -0.8 + 0.3. Put u, -4, p in decreasing order.\nAnswer: u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 19 = -3*r, -3*r - 2 = -5*r + 2*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.9999882 - -34. What is u rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 8*p**2 - 6*p + 5. What is q(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4256 + -526111?\nAnswer: -533400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x**3 - 2*x**2 - x. Let p(c) = c - 3. Let s be p(3). Suppose 2*j + s*j = 4. Let f be -1 - (2\/1 - j). Give m(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*d + 88 = d, -26 = -z + 4*d. Let l(t) = 2*t**2 + 13*t - 16. Calculate the lowest common multiple of z and l(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -0.2 (c) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + p - 2. Suppose 0 = -4*q - 2*q - 5*q. Let w be i(q). What is the biggest value in -1\/4, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21957*h**3*k**3 + h**3*k**2 + h**3 - 14480*h**2*k**3 wrt h?\nAnswer: 131742*k**3 + 6*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -183712.275 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373703 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27329?\nAnswer: 27329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 224002 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grl when three letters picked without replacement from {e: 1, g: 1, r: 1, l: 1, a: 2, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/1323*8484\/808?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -3 - (20 - 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 4 - 1 + 7*z**2 - 14*z**2.\nAnswer: -8*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92400 or -461997\/5?\nAnswer: -92400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(2 - 1) + 0. Let h be (-10 + 3)\/(1\/q). Is (-1905)\/(-21) + (-4)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112467 - 73571. List the prime factors of i.\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 10. Suppose 0 = g - 3*m - 81, 0*g - m + 197 = b*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 7870*r\/11.\nAnswer: 2*r*(r + 3935)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150*u**4 + 17929*u**3 + 375*u - 4896 wrt u.\nAnswer: 1800*u**2 + 107574*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47231017229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 13*j**8\/336 + j**6\/60 - 7*j**5\/12 + 44*j**2. Find the third derivative of u(c) wrt c.\nAnswer: 780*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13772703 divided by -1211?\nAnswer: 11373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 - 5*y**4 + 3*y**4 + 3*y**2 + y**3 - 12022 + 12025 to the form z*y**4 + s + w*y**2 + d*y**3 + g*y and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52497 = 3*q - 2*j, 284*j - 288*j = 0. What are the prime factors of q?\nAnswer: 3, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 9*m**2 + 20*m + 3. Let x be b(5). Put 1, 4, x in increasing order.\nAnswer: 1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -117400*d - 92276402. What is p(-786)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w - 3*w)*(-2 + 2*w + 2)*((-3 + 6 - 1)*(-3 - 2 + 3) + (1 + 0 - 3)*(-2 - 9 + 3) + 6 - 1 + 2).\nAnswer: -190*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2233 - -2457. Calculate the remainder when y is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19524, 19526, 19530, 19536, 19544?\n\"Answer: c**2 - c + 19524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 795 - 782. Let x be 9042\/24 + 0 + 1\/4. What is the greatest common factor of x and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2808 and 85\/2872272.\nAnswer: 25850448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 - 5*r - 4. Let h be j(-5). What is the remainder when 2 is divided by (2\/2 - h) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1785732 by 13.\nAnswer: 137364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708797067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 2:46 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-907101)\/(-81) - (-12)\/(-16)*(-24)\/81. What is c rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 475349 to the nearest integer?\nAnswer: 689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -21. Let f(m) = 3*m - 46. Let t(i) = -2*i + 31. Let d(y) = -5*f(y) - 7*t(y). Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35306 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 1. What is the units digit of i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31038 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 920 - 14671\/16. What is the common denominator of d and (4\/56)\/(1\/(-113))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1281 or 2559\/2?\nAnswer: 2559\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7.8, 0.1, 0, -4, -0.2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27. Suppose i = y - 0*y - 12. What is the units digit of (-10 + 4)*(-76)\/y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 175*i*r**4 - 3*i - 109*r wrt r?\nAnswer: 2100*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 350038.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:17 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 11*p**2 - 13*p - 20. Determine f(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1197 - 1196.9998598. What is q rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21 (b) 5.468 (c) -2\/37 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -616.5 + 618.5. What is the nearest to -1\/3 in 2\/9, -2\/61, 4, u?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/200 and 11\/840?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1518 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 - -250. What is the highest common factor of 30 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (160 + -162)*7\/(28\/58)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c, 2*c + c + 584 = 4*g. Suppose -10 = -4*b + 158. Let a = b + g. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 110, -5 in ascending order.\nAnswer: -5, -4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -4*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c29 - -2?\nAnswer: 26c2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 5, -9, 7\/3 in descending order.\nAnswer: 5, 7\/3, -0.5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.3247 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2560 - -64156. Is v a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -620 (b) 5 (c) 2\/629 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*63\/(-36)*(834\/42 + 320\/(-112)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -1 + 3 - (5953 - 5945)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 214 - 76 = -p, -5*p - 2*u + 1465 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55662.5 grams to tonnes.\nAnswer: 0.0556625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 8 in decreasing order.\nAnswer: 8, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 5927326*t**2 + 5927321*t**2 - 3 - 2*t + 39 as z + q*t**3 + x*t + h*t**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -513.33523 - -0.33523. What is the closest to 0.1 in 0.3, -5, 0.5, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-72))\/(3\/(-27)). Solve 4*w - 5*w + j = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*c = -7, 2*k - 19 = 224*c - 223*c for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:30 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -0.2. Let v = 404 - 403.7. Let z be (4\/(-3))\/((-2)\/(-6)). Sort z, v, k in ascending order.\nAnswer: z, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 60 = t + 5*a, 567 = -4*t - 5*a. Let s = 158 + t. What is the highest common divisor of s and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 0*a**5 + 1\/240*a**6 + 0 + 0*a - 1\/420*a**7 - 2*a**2 + 0*a**3 + 0*a**4. Determine g so that h(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/(b*b**(-5\/2)*b*b*b)*(b**(5\/6))**(-50) assuming b is positive.\nAnswer: b**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbaja. What is prob of sequence baa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -3?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -164362116, -328724229, -493086340, -657448449, -821810556?\n\"Answer: k**2 - 164362116*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45, -0.5, 28?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2. Let j(c) = -312*c + 2. Determine p(j(o)).\nAnswer: -486720*o**2 + 6240*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 59 = 2*g + 5*h, 0 = -3*g - 3*h + 9. Calculate the greatest common factor of g and 648.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66, 136, 206, 276?\n\"Answer: 70*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 12, v: 7}. Give prob of picking 4 h.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, y: 2}. Give prob of picking 1 c and 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 13320113103?\nAnswer: 13320113102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p + 9. Let x(s) = -4*s. Calculate -g(k) - 4*x(k).\nAnswer: 4*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*a**2 + 48\/5*a - 46\/5.\nAnswer: -2*(a - 23)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**6\/30 + 4*o**5\/15 + 7*o**4\/6 - 20*o**3\/3 + 29*o**2 + o. Suppose y(k) = 0. What is k?\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a615 + 0?\nAnswer: 1a615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111, 102, 93?\n\"Answer: -9*i + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than 25250118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 6591.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 15, -r = 5*k - 2*k - 11. Suppose -k*g - 51 = -349. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 46 = -r - f, 200 = 4*r - 5*f. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6791606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from rkrk.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232563 or -697688\/3?\nAnswer: -232563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*q + 20 - 68. Solve -4*u = 5*r + 11, -q*u = -0*u - 4*r - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-6)*b**(-1)*(b**(2\/9)\/b)**(-8\/7) assuming b is positive.\nAnswer: b**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**2 + 27*j**2 + 8*j**2 - 34*j**2.\nAnswer: 25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, -0.1, -2\/15?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.81576 millennia in decades?\nAnswer: 3281.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -176\/7, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 4 - (-3 - 1). What is the first derivative of w - 2 + 0 - 2*k**4 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3195720 by 594.\nAnswer: -5380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*u = -24, -2*w + 26 = -6*u + u. Suppose -21 = -3*f + g - 4*g, -5*f - 3*g + 33 = 0. Solve 5*t + o - 2 = 0, 3*t = -2*t - w*o + f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s - 170*s = 37*s - 13349 - 667 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 16. Let z be 26 - (r + 4 + 2). What is b in 15*b**2 - 36*b**2 + z*b**2 - 15*b**3 + 15*b - 5 = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, -2\/5, 0.11?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -22. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 0 - (3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 + -2021?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**5)\/(((g\/(g\/g**(3\/10)))\/g*g)\/g)*(g**(-2\/5))**(-14) assuming g is positive.\nAnswer: g**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24b (base 14) to base 9.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*o - o + 4, -2*o = -5*z - 10. Suppose 3*w + o = 93. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*s = 130*s + 92 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + u**3 - u**3 + (14*u + 7*u**3 - 14*u)*(-u - 2 + 2) + (-26*u**2 - 328*u + 328*u)*(u - 2*u**2 - u) + u**4 + 0*u**4 + u**4.\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -64399*u + 708373. Give w(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*-3*4\/(-7*4)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -13) + 1 + -14 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*2.994\nAnswer: 0.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -8*i**2. Let t(g) = -217*g**2 - 2*g. Calculate t(d(y)).\nAnswer: -13888*y**4 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1382*g - 1970*g + 602*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**5\/5 - f**4\/4 - 41*f**3\/3 + 60. Find the third derivative of h(y) wrt y.\nAnswer: -48*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3 - 0. Suppose 6*c - 27 = y*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5*(-2)\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3015 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 not equal to 47436\/3497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812323 is divided by 8825?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 42)*((l**3 - l**3 - l**3)*(-l + 4*l + 3*l) + l**4 - 4*l**4 + 2*l**4).\nAnswer: -308*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((33 - 3) + (-105 - -76))\/(1\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(sqrt(26) - sqrt(78)\/sqrt(3)) + -1*1*sqrt(26)))\/(sqrt(242) + -1*sqrt(242) + sqrt(98) + 3*sqrt(98) + sqrt(98)).\nAnswer: 2*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*g - 2\/7*g**2 + 4\/7 = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26588*p**3 + 6076*p**2 + 2*p wrt p?\nAnswer: 159528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/7 - 3\/7. What is the nearest to 0.01 in -4, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -578\/11, -2\/11, 2\/7, 2\/5, -7\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 5561486\nAnswer: 27807430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 862*z - 22*z**4 - 862*z + (-2*z**4 + 0 + 0)*(0 - 2 + 4) + (-3*z**2 - z**2 + 5*z**2)*(-z**2 - 14*z**2 + 3*z**2).\nAnswer: -38*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1855895 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/10*(-4)\/(-3). Let a be (l\/10)\/((-8)\/48). What is the biggest value in 3, -1, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**4\/8 + 5*i**2 - 1. Let w(a) = -31*a**2. What is x(w(m))?\nAnswer: -93*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61957.67 micrograms in tonnes?\nAnswer: 0.00000006195767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + b = 3, -2*c - 2*c + 3*b + 26 = 0. Let a be c\/3 - (-6)\/18. Suppose 2*n - 4*u = 74, -u = -n - a*u + 43. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21445 + 2389*p + 21445.\nAnswer: 2389*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -21966811\nAnswer: -8\/21966811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 84425090?\nAnswer: -84425090.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 - 1.0304. What is h rounded to 3 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + -1)*(-39)\/(-3). Find the common denominator of -2 - (x\/8 - 2) and (870\/275)\/((-40)\/(-50)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2950 divided by -7\nAnswer: 2950\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*v**4 + 3*v**3 - 45480823*v + 498700138.\nAnswer: 8*v**3 + 9*v**2 - 45480823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 + 18499*v + 483709. Give b(-26).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189400304 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.65*-12.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13490522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*k + 2815 = 998 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*y + 121 = 39, 4 = -2*y. Suppose 0*w = -4*w - 168. Let i = w + r. Which is the second smallest value? (a) 2\/3 (b) -2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**2 + 19*r - 27. Let h(t) = -3*t**2 + 4. Calculate -7*h(v) - w(v).\nAnswer: 9*v**2 - 19*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 3*x**2\/2 - 3*x + 74612. Let j(c) be the third derivative of 7*c**4\/24 - 7*c**3\/6 - c**2. Give -5*f(w) + 2*j(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 5:08 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 72164*y - 78206310 = 0. What is y?\nAnswer: -1053, 37135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/33*6\/(-4). Let w(m) = 21*m**2 - 7*m**2 - 10*m**n - 9*m**2. Let z(r) be the third derivative of -r**5\/60 + r**2. Calculate z(w(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4\/5*o**3 + 0 - 10816\/5*o + 416\/5*o**2 = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 813 + -957.1. Let w = 144 + l. Put -1\/4, w, -5, -3 in descending order.\nAnswer: w, -1\/4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28*m + 479. Calculate t(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1086, 1, 30314?\nAnswer: 1086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 m when two letters picked without replacement from {t: 5, m: 2, d: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w + 2*w)*(w**3 + w**3 + 0*w**3)*(-2*w + 4*w + 5*w).\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-4)\/(-6)*-21. Does 9 divide t + 3 + 193\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5627816079.\nAnswer: 3, 83, 271, 83401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1404 and 468?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Suppose -4*f + 16*l - 12 = 12*l, -3 = -3*f - l. Factor -2\/7*c**q + f*c + 4\/7*c**2 + 0.\nAnswer: -2*c**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 6*i**2 - 479*i + 85. What is a(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loll when four letters picked without replacement from olppppll?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 9*a + 1.\nAnswer: -9*a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -107*z - 5450. Determine l(-51).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 3. Let j be c(4). Solve 4*h = 3*h + j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 - -57) + (0 - -1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 12 + 13 = 0. Let j = -766 + 763. Put 3, h, -2\/7, j in increasing order.\nAnswer: h, j, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, -3, -0.477?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 18, -4.\nAnswer: -29, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + (1 - 1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -430 - -433. Suppose 226 = 5*l - b*w + 27, -3*l + 131 = 4*w. What is the highest common divisor of 205 and l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -27\/5, 25\/4, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 9*g**2 + 4*g - 4. Let c be a(8). Let m be (-109 + -5)\/((-5)\/4). Let p = m - c. Is -7 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j - 59. Let l be p(-4). Solve l = -3*y - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 - 15*r - 13. Let d be w(-6). Let p(o) = 1 - 7*o**2 + 5*o**2 + 0 - o - 2. Let k(x) = 3*x**2 + 2*x + 2. Calculate d*k(t) + 8*p(t).\nAnswer: -t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 divided by -6.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((657\/12)\/(-3))\/((202\/(-404))\/(2\/(-1)))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*d + 2 = 0, 4*a + 13 = d + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324541 and 994.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 14356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 20 - (-399637)\/(-17353)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2609, -2561, -2513, -2465, -2417?\nAnswer: -2369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + d + 2461 + 133 = 0, -5*d = -5*i + 6490. Is 72 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*i + 228*i - 120 = 0. Let g(o) = o**2 - 15*o + 37. What is g(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/(-182)*(4 + (-30)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. What is the smallest value in 3, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z = -23*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-74)\/3*18\/(-12). Let l = 40 - c. Let m be 6\/(4\/(-2)*-1). Solve 6*k - m*k - l = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/21)\/a))\/(a*a**8)*((a\/(a**(-1)*a))\/a*a)**(-14) assuming a is positive.\nAnswer: a**(-460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 3*l + 2*l)*(-6*l - l + 2*l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m + 50*m - 4*m)*(1 + 2*m - m - 2).\nAnswer: 37*m**2 - 37*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05 and 3.9.\nAnswer: 3.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*w - 6*z, 0 = 15*w - 20*w + 4*z + 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82\/11 + 257\/33. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) 5\/2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 - 23*t + 25. Let s be p(1). Let k(b) = -b**3 - 5*b**2 - 2*b + 6. Determine k(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13054.821 months to decades.\nAnswer: 108.790175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13040152 < 13040152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n - 9. Suppose 2*u - 2*b = 2*b - 18, -u = b - 6. Let i = u - 1. Solve n*p - p - 4 = i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 9 = 0. Let a be h*(1 + 2 + -2). Is a at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 281 and 23?\nAnswer: 6463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3470.928898 and -2882.\nAnswer: 588.928898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3155502 is divided by 55353.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**4\/4 + 10*g**3\/3 - 5*g**2 + 13*g - 16. Let n be x(-11). Factor n*s**2 + 24*s + 7 + 20 + 36 + 9.\nAnswer: 2*(s + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 15. Let b be d(-9). Let s(i) = 7 + 2*i + 14*i**2 + b*i**2 + 5*i**2 - 4*i. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from njnnnoonoonoojoooo.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*s, 6*s = -2*t + 4*s - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 plus 164470418289?\nAnswer: 164470418664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + 75188483728.82?\nAnswer: 75188483767.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 790830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -314\/5, -1, -0.5, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 + -156. What is the biggest value in 1\/5, 0.4, x, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254146 (base 13) to base 2\nAnswer: 11011010010111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35139892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -166?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*l - 3707 - 3178. What is the greatest common divisor of 1233 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 4:45 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-831)\/(-1108))\/(((-21)\/8)\/(-7)))\/((-3)\/57)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42346*d**3*u**2 - d**3*u + 120*d**3 - 564*d**2 + 15271*u**2 wrt d.\nAnswer: -254076*u**2 - 6*u + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 12. Suppose 1 - 9 = -2*u - y, -b*y = -16. Let g(q) = 572*q + 6292. Let w be g(-11). Solve 3*z - u*z - 3 = w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*w + v, 0 = 2*w - 4*v. Let u(n) = 6 - 11*n - 33 + w*n - 2*n. What is the hundreds digit of u(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (-4*sqrt(125))**2 - (sqrt(125) - (-1 + sqrt(125) + 1))**2).\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2804313?\nAnswer: -1\/2804313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -172 in 71, -5, -3\/2, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 7609518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8)\/(((-21)\/(-2464))\/(1365\/3640)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*m**2 + 147811*l**2*m + l**2 - 427*l*m**2 - 2*l - 29*m**2 + 6*m + 4 wrt l?\nAnswer: 6*m**2 + 295622*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/757 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 706659493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r = -4. Let i(k) = -8*k**3 - k**2 - k. Let z be i(r). Let x = 7 - 2. Solve -3*m + z = -x*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 15, -5, -35, -75, -125, -185?\n\"Answer: -5*s**2 + 5*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - g + 5*g)*(-2*g + 2*g - 1 - g**2).\nAnswer: -9*g**3 - 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-8)\/(-6))*369572\/(-4137)*-1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n + 5. Let j(r) = -15 + 3 + 17*r - 2. Let z(h) = 4*j(h) + 11*s(h). Let m(p) = 5*p - 2. What is -4*m(i) + 9*z(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*t - 22*t - 5820 = 0. Let c = t - 638. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150986314 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(20) + -2*sqrt(20))*6)**2.\nAnswer: 432*sqrt(5) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -n, 3*n + 6 = 3*k + 2*k. What is the units digit of 2 + 3\/12*k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 4, 1\/2, -1 in increasing order.\nAnswer: -1, 2\/5, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1700 and 3600532.\nAnswer: 90013300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 37*x - 1088 = 0. Calculate the highest common divisor of x and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:20 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*f - 1 = 0, -2*f + 6*f - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/3)\/((-1)\/(-3)). Differentiate 4*b - 3 - i*b + 5*b + b with respect to b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36911166*w*x**2 - 5175*w*x + 83*w + x wrt x.\nAnswer: 73822332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -4 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3\/17 + 2972*j**2\/17 + 1101120*j\/17 - 2214144\/17 = 0.\nAnswer: -744, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -12. Solve -o - 16 = -3*d, 0 = q*o + d - 0*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.7804039 rounded to 1 decimal place?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 6*u - 4*u = -15*u + 35, 0 = 46*u - 10*u - 252 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-28))\/1 + (-31)\/7. Let g(t) = -25*t + 6. What is the hundreds digit of g(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*s + 3 = 6*s, -4*s + 18 = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x**2 + 37*x**2 + 160*x**2 + 386*x**2.\nAnswer: 545*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 8*d**3 - 7*d**2 - 2*d - 25. Let c(x) = 7*x**3 - 6*x**2 - 2*x - 25. Calculate 6*b(l) - 7*c(l).\nAnswer: -l**3 + 2*l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/(-180) - 38\/5. What are the prime factors of (-10*(-2)\/(-4) - n) + 1121?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-10))\/((-2)\/156). What is the highest common factor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 26*l + 102. Is 7 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 107?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 9*v**6\/80 - v**5 + 37*v**4\/36 - 4*v**3\/9 - 17*v**2. Factor x(d).\nAnswer: (d - 4)*(9*d - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -0.38335473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6452 or 1\/4?\nAnswer: -6452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*4\/(-40) - 2. Is h at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -10*q + 1. Calculate the greatest common divisor of q and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3\/10 (c) 0 (d) -0.2 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3173 + 22331 = 30*f + 63*f. Solve 197*t - 27 = f*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-10)*-4*((-4)\/(-3))\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/19)\/j*j)\/(j\/(j*j**0\/j*j*j)) assuming j is positive.\nAnswer: j**(16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2 + 71*h + 1092 = 0 for h.\nAnswer: -13, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*1 - sqrt(320))**2 - sqrt(5) - sqrt(135)\/sqrt(3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39867245799781 - 39867245272829.80049963. Let y = z + -526927.1995. Let b = -24 + y. What is b rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -9*a - 30. Let z be (-914)\/(-26) - a\/(-39). Is 96\/5 - 7\/z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/2352*-8)\/(45\/63)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112111020100 + 1020?\nAnswer: 21112111021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*i + 99*i = 69*i + 786 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 48. Suppose a + r = -43. Let z = 49 + a. Solve -t + z*t = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2.255438 (c) -0.1 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581310.\nAnswer: 2, 3, 5, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 28*n + 64. Let c be b(30). Suppose -c*o + 54 = 2*i, -5*i + o = -63 - 72. What is the remainder when i is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13108 and 6010192.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19238069*j**2 + 32687389*j wrt j?\nAnswer: -38476138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a47058 (base 11) to base 7.\nAnswer: -113304104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from llrllllllrl?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(114\/798)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 24*v + 2*p - 8 = 0, -4*v - 5 = -3*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70489, -281042, -631963, -1123252, -1754909, -2526934, -3439327?\nAnswer: -4492088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1054046 (base 7) to base 6\nAnswer: 2450432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 not equal to 2202\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7072*f**3 + 2352*f**3 + 2358*f**3 + 2355*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 - 2*o**2 - 3*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683679 = 133*n - 188003. Is n a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - w - 1. Suppose -10 = -5*l + 4*l. Let a = 6 - l. Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -95, -272, -593, -1100?\n\"Answer: -7*w**3 - 9*w**2 + w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:28 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 5*u - 14 - 2, p + u - 5 = 0. Calculate the least common multiple of 14 and (36\/14)\/(p\/21).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3015079604?\nAnswer: 2, 753769901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -160.3.\nAnswer: 160.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63857.8 years to decades.\nAnswer: 6385.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -48, -98, -146, -192, -236?\n\"Answer: c**2 - 53*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2386628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 103*r**3 - 2*r**2 + 861*r - 2592. Determine z(3).\nAnswer: 2754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49.271 and -613146.\nAnswer: -613195.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k + 167 = 4*t, 5*t = -3*k + 136946 - 137004 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -421.7 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9213 - 67745961200.\nAnswer: -67745970413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + o**2 - o. Let f(s) = 2*s + 37*s**3 - 19*s**3 - 23*s**3. Determine f(h) + 2*l(h).\nAnswer: -3*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*1*sqrt(70) + ((-6*(sqrt(70)*2 - sqrt(70)) + sqrt(70) + sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70)))\/(sqrt(90)\/(sqrt(144)*-2)))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 48\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 4*k + 3 + 3 - 3 - 4*k**2. Let w be r(4). Let i(h) = -w*h + h - h. Let l(z) = -z. Determine i(l(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 75*s**3 - 6*s**2 + 34*s - 82. What is the smallest common multiple of 362 and p(3)?\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -944156.\nAnswer: -1\/944156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6349930*c**2*j**2 + 26*c*j**2 + 9*c + 2*j**2 - 309*j wrt c.\nAnswer: -12699860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 415 + -421 + 3 + (3 + -10 - -4) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1111100100 (base 2) to base 3\nAnswer: 1100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2898939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 329.5922 to one dp.\nAnswer: 329.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f + t + 7 = 0, 6 = -2*t. Let y = -102 + 232. Let s = y + -119. Which is the closest to f? (a) -0.3 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2319*b**2 - 28*b - 4. Let w(o) = 67252*o**2 - 805*o - 115. Calculate -115*s(p) + 4*w(p).\nAnswer: 2323*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - (-5 + sqrt(320))) + 2 - (-1*sqrt(10)\/sqrt(2) - (sqrt(720) + -2 - sqrt(5)))) + 5)**2.\nAnswer: 100*sqrt(5) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 383 + -367. Suppose 13440 = 48*r - u*r. Is 30 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)*(16 - -140). Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*k = y - 126*k - 14324, 42976 = 3*y - 2*k. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6102308.\nAnswer: 2, 71, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((39\/((-15834)\/(-232)))\/((-198)\/21))\/((-13)\/(-3)).\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 + b**3\/3 + b**2\/2 - b. Is r(-6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**5\/10 - 85*h**4\/2 + 1036*h**3\/3 + 10973*h. Solve x(l) = 0.\nAnswer: -259, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 + 141*q + 186*q**3 - 30*q**2 - 141*q.\nAnswer: 186*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-228880)\/429150)\/((-4)\/(-690)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daadbdddba. Give prob of sequence ba.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15606.972 minutes in days?\nAnswer: 10.838175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 103. Solve -k + n*k - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 296. Give g(-24).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + 16\/(-6). Let i(r) be the third derivative of r**6\/120 + r**5\/20 + r**4\/12 - 3*r**2. Give i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - r)*(1 - 1 + 2) + 49*r - 83*r + 35*r - 270 as q*r + j and give j.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1561, 1562, 1563, 1564, 1565, 1566?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (578\/(-1445))\/((-5)\/((-525)\/(-6))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 388?\nAnswer: -23.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/19*3\/(-2). What is the greatest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 242 - 238. Calculate the highest common divisor of 3 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -7, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 5*d - 4*d)*(-3 + 2 + 2)*(6 - 2 - 1) to f + c*d and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -492, -525, -580, -657, -756, -877, -1020?\n\"Answer: -11*i**2 - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4421*h - 66310. Let k be v(-15). Let x be (2\/6)\/(1\/3). Put x, k, -45, 0 in ascending order.\nAnswer: -45, 0, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/13 (c) -1\/4 (d) -0.18 (e) -2\/45 (f) -2\/15 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 230?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33532 - 33532.000029164. Round u to six decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185160 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -311223 divided by -7?\nAnswer: 311223\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j - 4*j. Suppose 3*f - 4*k - 30 = 0, j*f - 4*k + 5*k = 9. Suppose f*q - 102 - 114 = 0. What is the remainder when q is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y - 192 = 10*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114676 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((sqrt(720) - sqrt(45))\/sqrt(9)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*i + 13896 = -152*i + 132*i - 281*i for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) - (-3)\/(0 - -3). Solve -b*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + (sqrt(1008) - (-1 + sqrt(1008))) - ((sqrt(1008) - (sqrt(1008) + 1*sqrt(1008))) + -2))**2*3.\nAnswer: -144*sqrt(7) + 3034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1.08.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464517*x**2 + 464517*x**2 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -9*a**3 - 8*a**2 + 52. Let v(g) = 37*g**3 + 31*g**2 - 203. Give -15*h(i) - 4*v(i).\nAnswer: -13*i**3 - 4*i**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/(9\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7059 = 4*j + 4*u - 6731, 0 = -j - 3*u - 98. Does -67 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*b + 184 = 0, 313 + 55 = -2*t - 2*b. Let l = t - -186. Solve 0 = l*c + 5 - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 420848\/13 + -32372. Let m = 0.1 + 0. Is i greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3100411012 (base 5) in base 12?\nAnswer: 21206a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -50.8?\nAnswer: -10.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.64243 micrograms to milligrams.\nAnswer: 0.04564243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1449208, 1449207, 1449206?\n\"Answer: -b + 1449209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 7*d = 20*q - 19*q + 8, 0 = 6*d - 5*q - 43 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c - 34*c**4 - c - 7*c + 2 - 2*c wrt c.\nAnswer: -408*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 53. Which is the nearest to 1? (a) 13 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -94*((-3)\/(-2) - 2) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -33*((-28)\/3)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a microsecond in nanoseconds?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*l - 2864*l**2 + 311*l**2 - 302*l + 607*l.\nAnswer: -2553*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q - 5*i = -25, 2*i + 2 = 4*q. Suppose 9 - 28 = -3*y + l, 3*y - 5*l = 35. Let b = -3 + y. Solve b + 4 = q*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u)**(4\/23))**48 assuming u is positive.\nAnswer: u**(-1152\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*122973 + 36 + -15 + -14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 13 - 25, 41 = 4*h + 3*q. Calculate the remainder when (1\/2)\/((-1)\/(-30)) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2936 = 468*k - 8296 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1902, 3653, 5416, 7197, 9002, 10837, 12708?\nAnswer: 14621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1144\/((-4)\/(-2)) - -2. Suppose 3*c + s - 124 + n = 0, 3*c - 4*s = -450. Let i be (-4)\/18 - c\/(-54). Is i < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3545?\nAnswer: 7090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -8 + 0*o**2 + 11*o**4 + o - 1\/3*o**3. What is the remainder when s(1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 160493, 160526, 160559, 160592, 160625, 160658?\n\"Answer: 33*x + 160460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731181 is divided by 86535.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/21)\/((-24)\/(-4172)). Let b = g - -83441\/1260. Is b smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118 is divided by 1056.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 638 = 79*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37\/154 - -7057\/2772. Find the common denominator of q and 27\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(20) - sqrt(40)\/sqrt(2) - sqrt(20)) + sqrt(20))*2)\/sqrt(10) + (sqrt(72)*1)\/sqrt(4) + -1.\nAnswer: 1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 62 - 67 - 742*c.\nAnswer: -742*c + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -4?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 98 = -2*q - 4*x, -4*q + 2*x + 202 = 0. Let t be (-4)\/(q\/(-16) + 3). Let g = 103 - 39. What is the greatest common factor of t and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -m + l, 0*m + 2*m + 198 = -4*l. Let p = -666\/7 - m. Let z = 0.771 - 0.571. What is the second smallest value in z, 0.08, p?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53543 = 43*m - 50275 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 121 = j + 11, 5*j - 46 = -k. Suppose 4*p + 4 - k = 0. Let a = p - -1. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 3)*(-10 - 43 + 7 + f) - 6*f + 8*f - f + f + 2*f - f + (3 + 1 - 2)*(-2*f + 7*f + 0*f).\nAnswer: 17*f - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 291*b**5 - 22*b**4 + 2*b**2 - 37*b + 552 wrt b.\nAnswer: 5820*b**3 - 264*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 427*a + 10217. Give w(-24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4 - 3000*h**3 + h**2 - 1228786.\nAnswer: 4*h**3 - 9000*h**2 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*v = 58, -4*s + 4*v + 480 = -15*v - 15*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331831 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 455 - 450. Suppose 0 = -n - 3*p + 4, 4*p = -g*n + 6*n - 4. Factor 0*m + 2\/13*m**5 + 0 + 0*m**2 - 4\/13*m**3 + 2\/13*m**n.\nAnswer: 2*m**3*(m - 1)*(m + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/7 (b) -0.3 (c) 0 (d) -0.394 (e) -1.4 (f) -4 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1316005*v**2 - 1605057 with respect to v.\nAnswer: -2632010*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/90 + v**4\/54 - v**3\/27 - v**2\/9 + 74*v. Let y(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1005*k**6 - 2*k**4 - 26309*k**3*n + 8794*k**2*n + 52*k*n wrt k?\nAnswer: 120600*k**3 - 48*k - 157854*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -1\/60*u**5 + 0 + 5\/6*u**3 + 0*u - 24*u**2 - 5\/24*u**4. Suppose -3*w = 2*p + 18, p = 2*w + 3*w + 30. Determine r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3332*d + 13280. Give r(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -134419 and -2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 3, 2, 5 in descending order.\nAnswer: 5, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -11*r + 28. Suppose r*g = -4*h + 340 - 52, -2*h = 2*g - 142. Let n = h - 64. Solve -2*m = -4*q - 0*q - 6, 6 = -5*q + n*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -7. Let y = 5 - f. Let l(n) = 45*n + 92. Let m be l(-2). Which is the second biggest value? (a) y (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = -2*l. Suppose 6 = l*r - 6. Find a such that -12*a**2 + 13*a - r*a**4 - 23*a + 10*a - 16*a**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 7*t - 3*t + 15, 2*h = 2*t + 6. Suppose -2 = -t*c - c. Suppose -4*l = -2*s + 1 + 17, -4*s = c*l - 6. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -178, -266, -352, -436, -518, -598?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**4\/3 - 70*a**3\/3 - 68*a**2 - a + 342. Factor v(p).\nAnswer: -4*(p + 1)*(p + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38338, 38292, 38246, 38200?\nAnswer: 38154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2605.6 - -2608.6. Let j = 3 - 3.5. Let i be 4\/4*1\/4. Which is the closest to -1? (a) i (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.2, 4, -123\/230, 0.5.\nAnswer: -28, -123\/230, 0.2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -74, -52, -10, 58?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z + 1. Let q be o(5). Let d = -0.34 - -0.44. Which is the nearest to d? (a) -3\/5 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8097 (base 14) in base 5?\nAnswer: -1201320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + 2*r + 0*r - 31 - 74 to z + s*r and give z.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*z = 516, -h - z = -119 - 142. Suppose 370 = -259*g + h*g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6351*v - 100*v**2 + 6346*v - 12697*v.\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5 + 4*y + 2 + 2*y - 5*y. Calculate the smallest common multiple of i(3) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 - g + g)*(1 - 5 + 2 + (3 - 1 - 3)*(2 - 1 - 2) - 59 - 89 + 20).\nAnswer: 258*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, and 1 q when three letters picked without replacement from sgqkgsv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153094641 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, j: 2, u: 4, t: 1, e: 2, k: 2}. Give prob of sequence oe.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2028927128 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/6426 - -65876\/61047. What is the common denominator of -117\/28 and w?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbbfgffgbf. Give prob of sequence bbbb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132395*u**5 + 36*u**4 + u**3 - 78787840*u**2.\nAnswer: -7943700*u**2 + 864*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2152\/(-6) + (-14)\/42. Let b = d + 653. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64655711 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 11*b + 92. Let l be x(-4). Is -11\/413 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 367\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/7 + -1 - 281\/(-28). Let p = -36 - -37. Is p equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 714335 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*1*3\/3. Suppose 26*f - 2088 = 35*f. Let t = f + 232. Solve t = 3*b + u - 2, -b + y = -0*u + 2*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1078.2247.\nAnswer: 1078.2247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 3*n - n**2 + n**3 + 3*n + 2*n**2 - 55 as i + w*n + y*n**3 + r*n**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107871*u**2*x**3 - 87*u**2*x + 54431*u**2 + 88*u wrt x?\nAnswer: 323613*u**2*x**2 - 87*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23 plus -15.4?\nAnswer: -14.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 1050345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = 90. Let y(w) = -w**3 + 4*w**2 + 1. Let i be y(4). What is the lowest common multiple of m and (-1 + 0)\/(i\/(-10))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcffiffffiffff. What is prob of sequence fif?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123020 - -11?\nAnswer: 123031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j - 48*j + 16 = -20*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/7, -1, 5, 6\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140656 and 5364.\nAnswer: 1265904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 130\/6 - 5\/(-15). Let d be (1\/j)\/(1\/4). Which is the smallest value? (a) -1 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a - 10*a**3 + 7*a**2 + 700 - 1399 - 10*a + 699.\nAnswer: -10*a**3 + 7*a**2 - 31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 15*k**4\/8 - 5*k**3\/6 + 112*k**2 + 7*k - 2. Calculate v(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -86\nAnswer: -19\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 3, n: 2, c: 2, f: 4, s: 1}. Give prob of sequence fuc.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 594675*x**2 - 1783998*x.\nAnswer: -3*x*(x + 3)*(x + 198222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + t + 3*t)*((t - 4*t + t)*(-19 + 19 + 2*t) + 40*t**2 - 101*t**2 - 68*t**2) to y*t**3 + d + q*t**2 + o*t and give y.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 20*z - 78. Let i be m(14). Let h be 264\/(-198) + 68\/i. Solve 2*o = 5*d - h, 3*d + 5 = -3*o + 8*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, h: 4}. What is prob of picking 2 m?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 220. Suppose -164 = -3*i + x. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23190, -46263, -69336, -92409, -115482?\nAnswer: -138555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.92 - -75241.5.\nAnswer: 75221.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 247*o - 245*o + 5*s, 0 = 3*o + 4*s + 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7645*d - 6 + 7753*d as q + i*d and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, u: 1, s: 1, k: 2}. Give prob of sequence kse.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70476 + 70480. Let g = 0.05 - 0. Sort -1\/3, g, o in ascending order.\nAnswer: -1\/3, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6154 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*w = -4*w + 6, 4*w - 18 = -f. Suppose -f*x - 41 = -p, -2*p = 7*x - 3*x - 58. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2. Let x(j) = 28678*j**2 - 286*j - 143. Let q(i) = -1195*i**2 + 12*i + 6. Let c(y) = 143*q(y) + 6*x(y). What is o(c(v))?\nAnswer: 2798978*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**3 + 109*t**2 - t + 11159 wrt t?\nAnswer: 18*t**2 + 218*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b8a8c (base 13) to base 2.\nAnswer: -100000110101110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 + 363.1. What is the closest to 5 in 3, -0.3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*m - 847. What is the second derivative of -1203*d**2 - 139*d - m*d**3 + 2 + 1203*d**2 wrt d?\nAnswer: -1638*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-56)\/42*(15 - (-1 + 1)). Let v be (-17 - o) + 0 + -1 + 0. What is the highest common divisor of v and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -534\nAnswer: -106.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -118 (b) 4 (c) 3\/4 (d) -0.02 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25644 - -4545?\nAnswer: 33522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 219336?\nAnswer: 219336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 335?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 327, 498, 687, 900?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -807*n*p*z - 26*n*p + 358*n*y*z - 2*n*y - p*y*z + 6*p*z wrt y.\nAnswer: 358*n*z - 2*n - p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233.6 - -1302.6. Let v = s + -728. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4\/9 + 70*d**3\/9 - 124*d**2\/3 + 776*d\/9 - 560\/9 = 0.\nAnswer: 2, 7\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*q - 752 - 373 = -345. Let p = 6 + -3. What is the remainder when q is divided by ((-4)\/p)\/((-2)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1541, 4, 1, -4, -51 in increasing order.\nAnswer: -1541, -51, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.205017 to 2 dps.\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9057151 - 37557155 = 5*x - 2*r, -5*x = 3*r + 28499994. What is x rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 + 52 + (45 - 1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 570 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -65, -52, -3, 94, 251, 480?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7*o - 5 = 2*o, 0 = 4*o + 8. Find the first derivative of k + 10*l - 15*l + 0 + 2 wrt l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 4*(-2)\/(-8). Let x(k) = k + k - k - b*k. Let r(d) = -4*d. Let l(o) = -o. Let m(t) = -14*l(t) + 5*r(t). What is x(m(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3c3 + -33?\nAnswer: -d416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g + 9. Let q = 2555 + -2560. Give w(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 9314 from -0.2711.\nAnswer: -9314.2711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 739346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Suppose 0 = -a*g + 4*l - 0 + 4, -l - 1 = 4*g. Suppose g = -2*w - 5 + 21. Solve -w = c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 * -1515533.\nAnswer: 154584366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56899 (b) -211 (c) 2\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 + -739\/3. Let p = -3 + 2.9. What is the closest to -0.1 in t, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3112002 (base 5) to base 7\nAnswer: 301221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -2\/15 (c) 10 (d) 7 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529660 is divided by 176399?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*-19*26\/(-3952). Which is bigger: b or -54\/145?\nAnswer: -54\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 - -243. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/6*6\/8. Let y = -228 + 422. Let s = 189 - y. What is the third biggest value in s, f, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 3.95179?\nAnswer: -1.185537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, 758, -3, 1, -2\/561?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.063 - 1366.063. Let v = b + 1366.04548. What is v rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38728, -36949, -35174, -33403?\nAnswer: -31636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -17*a**2 + 2*a - 9. Let p be i(4). What is the common denominator of -31\/6 and 18\/63 - (-288)\/p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -17. Suppose -z*b = -3*u - 42, -b - 2*b = -5*u - 42. What is the common denominator of 19\/2 and (b\/(-42))\/(8\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 63149491 and 7635.78.\nAnswer: 63157126.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16902774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 17*u + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 385.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 2. Let b be (-2 - (2 - 6)) + 0. Suppose 2*q = 4*o - 10, -b*o = -3*o - 3*q - 1. Solve -2*m + 4 = -0*t - o*t, -5*t = i*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -140*m. Let r(v) = -5*v + 4. Let s = 566 + -570. Let h(j) = 6*j - 5. Let u(y) = s*h(y) - 5*r(y). What is l(u(k))?\nAnswer: -140*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-60))\/((-2)\/((-18)\/(-3)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 573279743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4\/3 + 974*z**3 - 1065794*z**2\/3 - 358190*z + 2137444\/3 = 0 for z.\nAnswer: -2, 1, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3721 + -1547. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/5 - 6169744*i\/5 - 18509268\/5.\nAnswer: 4*(i - 1542439)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3 + 2 - 872)*-1. Let s(n) = 870 - t - n. Determine s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from {j: 2, y: 2, g: 2, f: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 2623*k**4\/12 + 3*k**3\/2 - 11*k**2\/2 - 154*k. Is i(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 40. Suppose -10 = -4*z + g*t, -3*z - t = 3*t - 13. Solve j + 6 = 5*j + 5*b, 0 = -z*j + b + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 7*h**3 - 8*h**3 - 2*h**2.\nAnswer: -7*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 149*i**2 + 6*i + 6. Let o be s(-2). Suppose -48*c = -43*c - o. List the prime factors of c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29894*v**5 - 8*v**2 + 117*v - 7 wrt v?\nAnswer: -1793640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29 + 32*m + m**3 - 11*m**2 - 4*m - 17*m**2. Does 9 divide w(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 77, 126, 177?\n\"Answer: k**2 + 44*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4089 - -4089.277. Round a to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39611389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3901 and 10624.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)*u**(1\/5))**(-2\/17)\/(u**0*((u*u\/((u*u\/u**4*u)\/u))\/u)\/u*u*((u**(2\/7)\/u)\/u)**14) assuming u is positive.\nAnswer: u**(1793\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*p + 9*p - 39546. Calculate the greatest common divisor of p and 1352.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 m, 1 n, and 1 d when four letters picked without replacement from {q: 1, d: 1, m: 1, n: 1, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(17 + -12 + (-56)\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240.8 + -314. Let k = 82 + z. Let o = k - 8.80121. Round o to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 9:00 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 5*b**2 + 5. Let g be u(5). Let l(k) = -2*k**3 - 41*k**2 - 21*k - 20. Let f be l(-20). Solve -x = -f*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 12 = 5*q. Suppose -f + 37 = -2*u + q, -4*u = -8. Calculate the highest common divisor of 95 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 1062136936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 4. Let o be q(6). Suppose 4 = -4*t + 4*n, -3*t + 2*n + 0*n = o. Solve 0 = -t*u + 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1600 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755 = 4575*x - 4614*x for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 831538986 a multiple of 1411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 836\/3 >= 280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 6*y + 2. Let t be -2 + 8 + 1*-2. Is a(t) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 at least -10743405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2 - 2)*(-5*l**3 - l**3 + 4*l**3) - 55*l**4 + 72*l**4 - 71*l**4 + 0*l**4 + 0*l**4 - 3*l**4.\nAnswer: -59*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v + 2189 = 195*v - 1709 + 29213 for v.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 a factor of 244745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115231 - -244?\nAnswer: 115505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(36)\/sqrt(4) + sqrt(9)))\/(sqrt(100)\/(-2*sqrt(10))))**2 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2267*d - 5 = -2265*d - 3*v, v = 4*d + 25 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2)*(-5 + 6). Let o(b) be the third derivative of -1\/3*b**3 + 5\/24*b**4 + l + 2*b**2 + 0*b. What is the derivative of o(z) wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + -1*(2 + 5). Is 32 a factor of (-58 - 6)*2\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2303258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 divided by 16.\nAnswer: -87\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + -4 + -1*2. Let k = 737\/7 - 105. Which is the biggest value? (a) f (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -413324?\nAnswer: 413411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 350929 (base 11) in base 14?\nAnswer: 10723c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*t**5*x**2 - 110*t**5*x - 2*t**2*x + 2*t*x**2 + 2*t + 599*x**2 wrt t?\nAnswer: -540*t**2*x**2 - 6600*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 6*w - 5. Let h be a(5). Let r be (6 - -1) + 1 + h. Solve 2*u + 4*s = -r, 8*s = 2*u + 3*s - 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13224264 + 1?\nAnswer: -13224263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 0) - (-3 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25635 + 25650. Let v(k) be the third derivative of k**5\/60 - 2*k**4\/3 + k**3\/3 + 3*k**2. Determine v(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.1, -1, -152\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/12 - 7*m**3\/6 + 22*m**2. Give h(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (-25 + 21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*y - 78*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4\/6 - 4*v**3\/3 + 2*v**2 - v + 52. Calculate i(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2487600 and 17\/1254856.\nAnswer: 564685200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14145*u = 14149*u - d - 5, -d = -7*u + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -141*z**2 + 2*z. Let b(v) = -2*v. Determine r(b(n)).\nAnswer: -564*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/26218744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-12) + 2\/(-12). Suppose -h*t + 2 = -2. Is 57\/(t*3\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j - 49*j + 181*j + 113*j to the form x*j + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f - 3*f + f - f - f + 3*f + 3*f - 3*f + 2*f + (0*f + 5*f - 3*f)*(1 - 6 + 3) - 3 + 3 + 2*f + 4*f + f - 4*f + 4*f - f - f + 5*f + 0*f - 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -212, -253, -242, -173, -40?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.16 - -173.8. Let u = 186 - h. Round u to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 + -2a9b4dc?\nAnswer: -2a9b4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3662044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2085*f - 4209*f + 3 + 2115*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -356\/865 - -2\/173. Which is the closest to -1\/4? (a) z (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**5\/330 + 5*g**4\/66 - 8*g**3\/11 - 81*g**2\/2 - 50. Let f(b) be the second derivative of t(b). Factor f(k).\nAnswer: 2*(k - 2)*(k + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-81)*(-5)\/(1750\/(-15))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a day?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**3 + 5*u**2 - 3. Let r(l) = 2*l + 4. Let d be r(13). Let c be (d\/25)\/(2\/(-5)). Let y(s) = -10*s**3 + 24*s**2 - 14. Calculate c*y(o) + 14*t(o).\nAnswer: 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*y - c, 2*c = -5*y + 3*c - 76. Let a be ((-2)\/y)\/(6\/(-10)). Is 0 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:22 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93*b**3*d**3 + 247491*b**3*d + b**3 + 489526*b**2*d**3 + 3*b**2*d - 8*b*d - 2*b + 3 wrt d.\nAnswer: -558*b**3*d + 2937156*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -17. Let i(f) = 0*f + 3*f**3 + 8*f**t - 7*f + 5*f - 1. Calculate i(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2674 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3049.\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.5 and 7878.72094.\nAnswer: 7882.22094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -923728691.36 - 3.291.\nAnswer: -923728694.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 4*g - 48 - 3*g + 29 to the form k + q*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*g + 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.4672316 and -0.15.\nAnswer: 10.3172316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -33.718736.\nAnswer: -32.718736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 36 = -5*w, w - 32 = -4*w + 4*h. Let u = 576 - 1694\/3. Calculate the common denominator of ((-2)\/w)\/((-3)\/(-318)) and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2201310 (base 4) to base 16\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -12*q**2. Let t(g) be the third derivative of -7*g**4\/24 - 24*g**2. Calculate r(t(n)).\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(85)\/sqrt(5) - (2*sqrt(68) + sqrt(17))) + 2 + (1*sqrt(85))\/sqrt(5) + (sqrt(833) - (0 + sqrt(833) - sqrt(833))**2).\nAnswer: -3*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (12 + -21 - -5)) + (-14 - -1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 51*o + 33. Let u be m(25). Solve f - 3*f = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -105, -196, -319?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)*g**(-25))**(-16) assuming g is positive.\nAnswer: g**416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/4158 and 35\/3618.\nAnswer: 278586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -10. Suppose 0 = -s - d + 4 + r, 2*d + 55 = 5*s. Let a = s - 9. Let l(u) = 2*u**2 - 2*u - 2. Give l(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -981 + 309. Let k = 653.54 + a. Round k to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 21 = 3*m, 0 = j - m - 1. Solve -3*l - 14 = -2*s, -5*l = -2*s - j*s + 30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(2 - 3)*1. Does 11 divide 11\/(1\/h*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5993 + 5992. Which is greater: -5383 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + -128. What is the derivative of 11*y - 28 + q*y + y + 0*y wrt y?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/360*28 - -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8700 and 3537275.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -17*d - 1. Let c = 15 - 18. Let w be l(c). What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12094346 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 5, r: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.9 - -32. What is the nearest to k in -2, -9, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 6715 - 6715 - 29*h as q + j*h**2 + g*h and give g.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 + 4. Let s = x - 0.2. Let q = -0.29999975 + s. What is q rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188 + -186. Solve -10 = 3*d + p*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -100 in descending order.\nAnswer: 2, -3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s = -3*d + 22, -d + 14 = s. Suppose 0 = -2*r + 4*u - 8, -4*r + 14 = -2*u - 0*u. Let q(k) = -500*k + k**2 + 978*k - 487*k - r. What is q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 4*c**2 + 5*c + 4. Suppose -5*i = -m - 20, -5*i = 2*m - 24 - 11. Let t be y(i). Suppose s = t*s - 12. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (27*(-3)\/15)\/((-236)\/(-60) + -4) is divided by 60?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 163 - 5?\nAnswer: 15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10103 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d - 120*d - 60*d + 191*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -444413?\nAnswer: -444333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - -4.02. Let y = -5 + b. Let m = -4 - y. Sort 2, 1\/4, m in decreasing order.\nAnswer: 2, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1724 (b) -2 (c) 1 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*i - 2, 0*s = -2*s + 5*i + 16. Let v be 7 - (4 + (-6)\/s). Solve -v*a = -a - 4*j, 3*j + 2 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-7)*f)\/f**(-2\/3))\/(f*f**(-2)\/f*f)**(-2\/37))\/((f**(-5)*f**(1\/6))\/((f*f\/(f*f*f**(-1\/4)\/f))\/(f**(-3)\/f))) assuming f is positive.\nAnswer: f**(2915\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) + 2\/(-5). Let j(z) = z**3 + 148*z**2 + 292*z + 1. Let h be j(-146). What is the third biggest value in -2\/21, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**4 + 0 - 1\/3*z**5 + 14*z**2 + 0*z**7 + 0*z**6 - 17\/336*z**8 + 0*z**3 + 0*z. Find the third derivative of v(o) wrt o.\nAnswer: -1020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26639 + -3685. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4427 times 3563\nAnswer: -15773401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4894*v - 19574. Let d be u(-4). Let -2523\/2*m + 87\/2*m**d - 1\/2*m**3 + 24389\/2 = 0. Calculate m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 10 = n. Suppose d + 12 = 4*d. Suppose -t + d*t = 12. What is the biggest value in 0.2, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1754, -1846, -1930, -2000, -2050, -2074, -2066?\n\"Answer: p**3 - 2*p**2 - 93*p - 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 6*k + 1 - 2)*(2*k**2 - 2*k**3 - 2*k**2).\nAnswer: -12*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188643\/107 + 1763. Let o = 262015 - 262016. Which is the second smallest value? (a) -0.4 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49 - (-35 + 79)) + 34.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k + 350 = -277 - 69 - 24 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 35 = 80*w. Sort w, -8, -2 in descending order.\nAnswer: w, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 16*z + 78 = 33*z. Which is the second smallest value? (a) z (b) 8 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 1\/3, -2\/835489, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/(-2)*(-454)\/(-2951).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18476, -215 in descending order.\nAnswer: 18476, -2, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7403023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 + 8 - 10*-2758. Let i be r\/40 - (-2)\/(-5). Suppose d + 5*y - 685 = -4*d, 5*d = -4*y + i. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1\/11, 5, 4264.6, -1, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -9. Let c(f) = -f**2 - 6*f + 8. What is the remainder when 21 is divided by c(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 451 + 31037?\nAnswer: 31510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5695*s - 2923*s - 2780*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/976 and -53\/571936?\nAnswer: 571936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70, 128, 228, 376, 578, 840, 1168, 1568?\n\"Answer: d**3 + 15*d**2 + 6*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 645, 967, 1289?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 4:13 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 2191350*r - 39444948.\nAnswer: 2*(r - 1095693)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.37 in 7, 0.2, 15, 2\/25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14102134 (base 5) to base 15\nAnswer: -2ca2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 1. What is the remainder when (12 - 1)\/(q\/(-18)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + 1412. List the prime factors of o.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(612)*2 + sqrt(612))**2 + (sqrt(612) + 5 + sqrt(612)*2 + sqrt(612))**2 + 4 + 5 + 0).\nAnswer: 660*sqrt(17) + 76715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.98 + 0.02. Let z = -0.07 + 0.64. Let x = z + -0.07. Which is the nearest to 5? (a) x (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-8) + -2 + 0. Let k = -8 - -8. Let s = 0 + 0.1. Which is the nearest to s? (a) k (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199.6 - -200. Let r = -102 - -815\/8. Let g = -0.2 + -0.8. Which is the nearest to g? (a) r (b) k (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 6, -8, -729, 4 in ascending order.\nAnswer: -729, -8, 3, 4, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144 - 139 + 357)*(-o + 0 + 0)*(0*o + 3*o - 4*o) + 55 - 55 + 81*o**2.\nAnswer: 155*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173.9999814 - 174. What is r rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktjt. What is prob of picking 1 k and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/383 and -59\/7.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*4\/(-8)*-1. Let k be r\/(-2) + (-20)\/(-8). Suppose f + k = 13. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0*l - l + 2*l + 9*l**2. Let z be o(2). Let x(t) = t - z + 38. Let i(s) = 2*s. Calculate i(x(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7917, -7921, -7929, -7941, -7957, -7977, -8001?\nAnswer: -8029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-2) - 31*-1. What is the greatest common divisor of 384 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 25. Solve -3*i - 3*a = 18, -5*i = -a + r + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/12)\/((-13)\/117*-6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 5*k**4 + 23*k**4 + k - 12*k**4 + 7 - 8*k**4 to u + c*k + r*k**3 + m*k**4 + b*k**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -49. What is the remainder when d is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/14 and 43\/8620?\nAnswer: 60340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**3\/11 + 1124*b**2\/11 - 22042*b\/11 + 20916\/11 = 0.\nAnswer: -581, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 58, 83, 126, 193, 290, 423, 598?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 614 - 611. Which is the nearest to o? (a) 2\/15 (b) -6\/11 (c) 3 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 5 - -6 - 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j, -2*t + 5*j + 16 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*(h\/(h\/h**(-7)))\/h*h**(-3\/2)*h*(h\/h**(-1\/2))**(3\/16))**(-24))**(-6\/7) assuming h is positive.\nAnswer: h**(-1791\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 28. Let j(q) = -5*q + 203. What is -j(w) - 6*z(w)?\nAnswer: 11*w - 371","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2903, 12356, 28117, 50180, 78539, 113188, 154121?\n\"Answer: -j**3 + 3160*j**2 - 20*j - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**(-9\/2) assuming p is positive.\nAnswer: p**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) + ((-2)\/(-5))\/((-124)\/(-11005)). Suppose 0 = 4*o - 3*o - 8. Let g be (-109)\/(-2) - 4\/o. What is the greatest common factor of g and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29287 - -2853. Round h to the nearest one hundred.\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**2 + 21\/4*h + 3\/4.\nAnswer: -3*(h - 1)*(8*h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-3)\/2)\/(406\/116)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -1280*y**3 + 4*y**2 + 80*y + 185. Is a(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0 - 395*z - 2 + 194*z + 195*z - 6*z**3. Let k(v) be the second derivative of v**5\/20 + v**3\/6 + v**2\/2 - v. Determine -4*k(p) - s(p).\nAnswer: 2*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4 + 0 = -w, m = 2*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**5\/80 + 5*y**4\/4 - 50*y**3 + 1000*y**2 - 401*y - 2. Determine t, given that a(t) = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-7 - (-24)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 14000 = -13*p. Suppose 16*k - 246 = -p. Let u be (k\/36 + 2)\/(3\/(-12)). Is 3 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1825\/10*(115 + -1). Let k = -13238 + v. Is (-9)\/54 + k\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42a (base 15) to base 10\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 675*r**3 + 2201?\nAnswer: 2025*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccceeeccsc. What is prob of sequence eesc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/12 + 14*a**3\/3 - 12*a**2 - 24*a. Let p be h(27). Solve 2*z = 4*f + 22, -z - p*z = -2*f - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*x - 630 = -10*x. Let r = 0 + 25. Calculate the remainder when r is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**3\/6 - 12*x. Let s(k) = -5*k - 2. What is -4*r(w) + s(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.211596 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 + b?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1 - 5*u + 2*u - 9*u. Is c(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k + 119 - 119)*(-14 - 16*k + 24 - 17)*(3 - 1 - 3).\nAnswer: -160*k**2 - 70*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 + 2*r - 2*r + (4*r + r - 2*r)*(2*r**2 - r**2 - 4*r**2) + 6*r**3 + 29 - 29.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {h: 1, g: 5, k: 5, f: 1}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -14*b**2. Let d(y) = -3*y - 3*y + 12*y - 4*y. Give d(p(w)).\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 973173 = -0*g + 3*s, -5*s = -5. List the prime factors of g\/(-598) - 4\/(-26).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/3197744 and 59\/1144?\nAnswer: 41570672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955206.4 litres to millilitres.\nAnswer: 955206400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -920, 4, 14322 in ascending order.\nAnswer: -920, 4, 14322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 14*a**2 - 8*a - 51. Suppose 5*v - 3*v = 4*h + 22, -3*v = -5*h - 33. Is o(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = -1056000. Suppose 0 = -6*n + n, 4*t = 3*n + b. Round t to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (-3 + (((sqrt(320) + 1)*6 - (1 + sqrt(320) + -5)) + (sqrt(320) + ((-1*sqrt(320) + sqrt(320))*3 - sqrt(320)))*5)*-5)**2.\nAnswer: 21200*sqrt(5) + 202810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 4536 + 4910 - 9101)*((-3 + 6 - 1)*(4*r**3 - 4*r**3 - 2*r**3) + 3 - 3 + 2*r**3).\nAnswer: -2*r**4 - 690*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59*343\/((-445214)\/2376).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13322 - -4321?\nAnswer: -4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1744*d - 48. Let v(a) = 1745*a - 64. Give -4*h(c) + 3*v(c).\nAnswer: -1741*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 73*u + 438 = 0, 2*n + 3*u - 1009 = -991 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**3\/6 - i. Let g(f) = f - 100 + 100. Give z(g(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2443331?\nAnswer: 11, 151, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-414.93.\nAnswer: 622.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 = 48*u + 185 - 67 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/28*(-96)\/(-160)\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271397 - 271397 - 10238*k.\nAnswer: -10238*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 2\/101, -42\/23?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -39. Suppose 3*g + g + b - 17 = 0, -2*b - 10 = -m*g. Put 2\/13, g, 0 in decreasing order.\nAnswer: g, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 i, and 1 v when four letters picked without replacement from {d: 1, s: 1, i: 2, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -76, -66, -58, -58, -72, -106, -166?\n\"Answer: -z**3 + 5*z**2 + 2*z - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2*-1)\/((-6)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3696826951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1500 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 336*b - 3610. What is the tens digit of d(75)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16566144 (base 7) to base 10\nAnswer: 1630017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7305, 13508, 19711?\nAnswer: 25914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 241897, 483795, 725691, 967585, 1209477?\n\"Answer: -k**2 + 241901*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 6)*(0 + 8 - 2)*(-13*v + 1 - 1 - 2) in the form l + c*v and give c.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 + 4*o. Let p be d(-3). Suppose -2*r - 30 = -p*r - 5*q, 4*r - q = 42. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 - 1)) + 5 + (-70 - -35).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -174 + 154. Sort c, -7, -2, 1, 4 in ascending order.\nAnswer: -7, -2, 1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 14 = 0. Calculate the greatest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**6\/600 + f**5\/75 - f**4\/8 - 3*f**3\/5 + 1595*f**2. What is z in s(z) = 0?\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n + 25. Let g be z(4). Suppose -g*k = -4*t - 96, 4*k = -3*t - 2*t + 44. Calculate the smallest common multiple of k and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3\/3 + 5*b**2 - 5*b + 5\/3.\nAnswer: -5*(b - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30621 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -801, -784, -741, -660, -529, -336?\n\"Answer: 2*f**3 + f**2 - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 5 (c) 4074 (d) -35.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 116 - -30 - 98 - 108\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714820223 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: Does 254 divide 2512060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.40388 litres in millilitres?\nAnswer: 90403.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 18. Find the third derivative of y*j**2 - 7*j**3 + 4 + 9*j**2 - 4 wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 121 = -106. Let u = -138 + l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 12 = 3*j - 0*j, 1 = -u - 4*j. Suppose -6 = u*o - 0. Let w(y) = 2*y**2 + 4*y + 3. Determine w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137509 is divided by 105?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 9. Let g be (-207771444)\/(-24)*210\/i. Suppose -5*v + 2*c = 7*c + g, 2*v - c = -80799997. What is v rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 plus 5929?\nAnswer: 5331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 11. Suppose 364*o + 1654 + 894 = 0. Let i(a) = -6*a + 3. Let s(l) = 4*l - 2. What is d*i(n) + o*s(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -984*-4*(-9)\/(-27). Suppose -4*s - 4*q + p = 0, 0*s + 2*s + 5*q = 641. What is the smallest common multiple of 9 and s?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3542 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 75.45 and -6.7.\nAnswer: -505.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/13480 and 1\/22?\nAnswer: 148280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 219.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5)\/y**(13\/3))**(-45) assuming y is positive.\nAnswer: y**177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 14073\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 8*c**2 - 4*c - 2. Let g be i(-8). Suppose 4*j - 22 = g. Is j not equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, d: 3, u: 4}. Give prob of picking 1 d, 1 u, and 2 s.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*l - 422*l + 2132. Solve 3*r = 2*v + 21, l*r = -16*v + 18*v + 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -62487 and 0.00519.\nAnswer: -62486.99481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**3*j**3 - 300*c**3 - 6945*c**2*j**3 + 2*c**2*j**2 wrt c?\nAnswer: -24*j**3 - 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -27. Let z be 0 + 4 + x\/(-4). Is z greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by 180?\nAnswer: -37\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 582358.\nAnswer: 2911790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 2*o + 17*o + o - 5*o**2.\nAnswer: -8*o**2 + 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. What is the least common multiple of ((-20)\/(-45))\/(2\/9) and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6095, 4471, 2847?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36 and 59\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*11*16\/3960.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**4 + 0*g**4 - 4*g**4)*(2 - g - 2) - 4*g**5 + g**5 + g**5 + (2*g + 3*g - 3*g)*(-10*g + 91*g**3 + 56*g**4 - 38*g**3 - 57*g**4).\nAnswer: -5*g**5 + 106*g**4 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -13*g - 128. Let h = -20 - g. Let t(p) = p. What is the tens digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31601 + -18336. Let t = -162981 + m. Let d = t - -1422918. Round d to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5 + 1. Let t(u) = 8*u + 13. Suppose -3 = -3*m + 3. Let i(w) = -2*w - 3. Let c(h) = m*t(h) + 9*i(h). Give c(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.3, 1540, 425.2, 5\/3?\nAnswer: 425.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 282931741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 2 - w + 5*w - 2*w. Let x be v(-9). Calculate the greatest common factor of 77 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.76 + 78.98702937.\nAnswer: 80.74702937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109800078.\nAnswer: 2, 3, 31, 590323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 91 + 13*a**2 + 45)*(21*a - 144 + 145 - 3*a).\nAnswer: 234*a**3 + 13*a**2 + 18*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 3*o. Let r(n) = n**2 + n + 1. Calculate r(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0559+1140378164897\nAnswer: 1140378164897.0559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and -595.\nAnswer: 36295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.6 (b) -3 (c) -47339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a**2*n*q - 2*a**2*q - 108*a**2 + 3*a*n*q + 3*n wrt q.\nAnswer: -14*a**2*n - 2*a**2 + 3*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61054 * -175.8.\nAnswer: 10733293.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193 + -6.08499.\nAnswer: -199.08499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 834 + 3396 = 0. Suppose -2*l = c - 215, -c = -0*c - 3*l - p. What is the remainder when c is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l - 9. Let c(t) = -2*t**2 + 2*t - 1. Give 2*c(v) - h(v).\nAnswer: -5*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93.9 and -9.\nAnswer: 845.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.8, 2\/5, 6.\nAnswer: -1\/6, 2\/5, 0.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 22 = d, -25 = -7*d + 2*d + 2*c. Suppose -16 = -k - k. Calculate the remainder when 31 - k\/(-9 + 5) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3059, 0.5 in ascending order.\nAnswer: -2, 0.5, 2, 3059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 6, f: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296*0.2.\nAnswer: 259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (434*d + 415*d - 12*d)*(2 - 1 + 0)*(0 + 0 - 2*d) to s*d**2 + f + m*d and give s.\nAnswer: -1674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -16 - (270 - 296)) + 18\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 2704\nAnswer: -811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*j + 5*j + 149*j + 13528 = 347*j for j.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 416931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-10) - (-7 - (-272)\/40). Solve -k + 3*p = o - 4, -k = -p - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16110000 to the nearest one hundred thousand.\nAnswer: 16100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + 389. Let x = 135 + u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(187) - (sqrt(187) + sqrt(187) + 3*sqrt(187)*-5) - sqrt(187))\/(sqrt(99)*-5)*-5.\nAnswer: -13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-421)\/3)\/((-12)\/(-9)). Suppose -3*l - 308 = 2*u, 4*l = 2*l - 4*u - 200. Let q = l - m. Sort 2, q, -0.02 in ascending order.\nAnswer: -0.02, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 268*z + 982*z - 1499*z - 4056*z to o + f*z and give f.\nAnswer: -4305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14170441811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - q - 3000. Let s be ((-12)\/10)\/(36\/q). Suppose -s = -3*l + 13. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 20 = 0, -4*p + 9*p = -k - 18. Suppose -s - 3*t = -21, -s + k = -5*t - 6. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 193 = 2333. Let m = b + -214. Solve m*f - 4*f = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2936408402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -12, 0.202, -87 in increasing order.\nAnswer: -87, -42, -12, 0.202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/22 and (-76)\/(-247) - 14462\/48100?\nAnswer: 20350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195.5 - -195.51. Which is smaller: l or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 37*j. Let a(n) = 110283*n**2. Calculate a(o(d)).\nAnswer: 150977427*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 635*t + 3. Let u be x(8). Let f = -3324 + u. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 4*j - 15. Let g be n(7). Let x = 0 + g. Is (-4)\/x*3354\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**2 - 2*c. Let o(a) = a**2. Calculate t(o(w)).\nAnswer: -8*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, m: 1, e: 1, i: 1, x: 1, h: 2}. Give prob of sequence bemi.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/3 (b) -3 (c) 71\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*p**2 - 4)*(-3 + 6 - 2)*(2 - p - 2)*(3 - 11 - 15).\nAnswer: 69*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:54 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10323920*x - 10323871*x - x**2 + 7*x**3 + 0*x**2 in the form j*x**3 + b*x + p + l*x**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -13*a - 3. Let c(n) = 9*n + 2. Let l = -5 + 0. Give l*h(t) - 7*c(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/85946 and 111\/49112.\nAnswer: 343784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*n**3*s - n**3 + n*s + 477*s wrt n.\nAnswer: -57*n**2*s - 3*n**2 + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -958477.04 rounded to the nearest one thousand?\nAnswer: -958000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*w**4 + 467436*w**3 - 117652755*w wrt w.\nAnswer: 504*w**2 + 2804616*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -1 - 0)\/1. Suppose -i + 2*b - 3 = 0, -6 = 2*i + s*b - 0*b. What is the units digit of 5 + i\/((-6)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -9, -5, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and 230249252167.\nAnswer: 230249252151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.8614 + 0.0386. Let t = d - 48. Let a be (-2)\/(-10)*(-5)\/(-8). Sort a, t, -1 in descending order.\nAnswer: a, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860872, 3443428, 7747694, 13773676, 21521380, 30990812, 42181978, 55094884?\nAnswer: 69729536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*t + t. Does 21 divide t*(-21)\/6*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -2 + (8 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -733344 and 9.24.\nAnswer: -733334.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 295 = 197. Calculate the remainder when o is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374254.\nAnswer: 2, 187127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8. Suppose r = -3*f + 8*f + 5. Let n be 6 + f + (-10 - -9). Solve 0 = -4*s - 3*u + n, -2*s + u = -2*u + 16 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -416054 divided by 1\nAnswer: -416054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*r**2 + 130*r**2 - 280*r**2 + (r + 0 + 0)*(6*r - 3*r - r) in the form j*r**2 + c*r + w and give j.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Suppose -x*v + 2*a = -124, 4*a + 14 = v - 0*a. Let o = 14 - 8. Solve 5*f + v = o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744 and 437440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43720 - 2260646257.\nAnswer: -2260602537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 8*r + 25. Let t(g) = g**2 + 2*g - 6. Calculate the remainder when x(5) is divided by t(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2864)\/9 - (25\/9 - 3). Calculate the common denominator of t\/(-20)*1\/(-12)*2 and -79\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -57. Which is the biggest value? (a) 252 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15 + 0 + 0\/1. Let r = -8 + a. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*w + 110, w = -4*w - 4*o + 242. Suppose -1245*s + 27075 = -162*s. Calculate the greatest common divisor of s and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - -25.2. Let l = v + -47. Let d = 14.3 + l. What is the second biggest value in 3, 2\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 553, 557, 561?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 12. Let u be ((-6)\/(-44))\/((-9)\/y). Let z = 7 - 8. Which is the nearest to u? (a) z (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4890 and 765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 104, -1, -950 in decreasing order.\nAnswer: 104, 74, -1, -950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*b - 20 = 0, -3*t = -2*b + 3*b - 110. What is the highest common divisor of 385 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 219962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1241 divide 334016391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/(-3))*664\/249.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 804 - ((-4)\/14 - 30\/(-7)). Let t = -325 + p. What are the prime factors of t?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-9))\/(44\/297).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 257 + -162. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336765 (base 12) to base 6\nAnswer: -25325005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 29*x = 2*a - 30, -4*a + 75 = 5*x. Let b be 2\/6 + (-4864)\/(-24). Suppose b = 5*z - 22. Calculate the greatest common divisor of x and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129052?\nAnswer: 2, 7, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2. Let m(w) = 5*w**2 - w**2 - 5*w**2. Calculate m(s(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 + 0 + 23. Suppose 3*i - 9 = -70*m + 73*m, 2*i = -5*m + 13. Solve i*l + 4*c = r, 5*c = 5*l + 3*c + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12121212 (base 4) to base 16\nAnswer: -6666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(3*c - 5*c + 3*c) + 12377*c + 2 - 12544*c - 5.\nAnswer: -165*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 20 = 8517*y - 8518*y, -4*w + 20 = 2*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*p**3 + 14*p + 30*p**3 + 13*p**2 - 3*p**2 + 6.\nAnswer: 2*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17889 times -74?\nAnswer: -1323786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Let s(u) = -m*u - 7 + 14*u**3 - 13*u**3 - 2*u - 8*u**2. Is s(9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 19*p + 32. Let z be b(-17). Put z, -77, 0, 2 in increasing order.\nAnswer: -77, z, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 2 + 341*n**3 + 326*n**3 - 636*n**3 + 7*n**2.\nAnswer: 31*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -367, -914, -1811, -3232, -5351, -8342, -12379, -17636?\n\"Answer: -29*q**3 - q**2 - 341*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 744\/614365?\nAnswer: 744\/614365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7198 - 6.938?\nAnswer: 7191.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 170. Let f(n) = 34*n + 354. Let u(k) = -3*f(k) - 7*g(k). Calculate u(-14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*sqrt(2) + sqrt(2)) - (-2 + sqrt(72)).\nAnswer: -10*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1238257337 to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 39 = 3*q. Let a(l) = -l**2 + 3*l**2 - 42 + q - 3*l + 7*l. Calculate the remainder when 24 is divided by a(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b. Let k(m) = 3*m + 251399. What is v(k(d))?\nAnswer: -3*d - 251399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 385 - 228. Suppose -j - 470 = -3*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16012.875 hours to days.\nAnswer: 667.203125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 563864 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (457\/4)\/(((-15)\/(-28))\/15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9*(-9 + (-615)\/(-70)). What is the biggest value in s, -1\/18, 0.3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3596586 less than -3596586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -96 in -2\/7, 1.2, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + 17*j + 11*j)*(2 + 2 + 0) + j + 0*j + 0*j + (0*j - 2*j - j)*(1 + 2 - 1).\nAnswer: 71*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -8*g + 29, 3*u - 123933 + 123953 = -g for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 4)\/((-2)\/4). Suppose p + 7 = 2*n, 4*p + 0*n = j*n + 2. Solve 0 = p*v - 0 + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -22. Let t be 1 - (d + (0 - 3)). Solve -t = 6*m - m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from ofoo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - x**2 + x**2 + 3*x**3 - 6*x**3. Let f be y(-1). Is (f\/(-3))\/((-8)\/444) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -937, -939, -941?\n\"Answer: -2*p - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -1\/12 (b) -1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10719*0.036.\nAnswer: -0.00385884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6560 and 2570290?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/16 and 7\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/4*(-16)\/10. Let w = d + -4. Solve w*g + 1 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1862 and -566.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 4*n + 2. Let p be z(-5). Let g = -17 - -17. Let b = g + p. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + q = 5*j + 5568, -q = 0. What are the prime factors of j?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*-8*4\/(-96)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3054 in -1, -2, 0.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y + 5. Let w(d) = -d**2 - 2*d - 3. Let h be w(-2). Let z be o(h). Let g be 1\/4 - 2300\/z. Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -117. Let o(j) = -10*j - 17. Let a be o(t). Suppose 4*x = 3*u - 31, -a*x - 3 = 9. Put u, 4, -0.4, -2 in descending order.\nAnswer: u, 4, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*r + 3616, -4*r + 904 = c - 6*r. Suppose 3*v + 5*b = 1334, 4*b - c = -2*v - 16. Is 28 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 201*r - 199*r - 32*r**4 - 27*r**4 - r**4 + 2*r**4 + r**4 + (-3*r + 2*r + 2*r)*(0*r**3 - r**3 + 3*r**3).\nAnswer: -55*r**4 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2190282806 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5911, -0.07, 0.5, -5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 - 4740*r**4 - 1128040*r**3 - 2175850*r**2 + 14495085*r - 11186450 = 0.\nAnswer: -473, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 1197.\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 63*n**2 - 3*n**2.\nAnswer: 65*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.45 + -7. Let z = n + -0.05. Let y = 0.2 + 0.3. What is the third smallest value in y, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y**4 - 2*y**4 + 6*y**4)*(20 - 17*y + 15 - 38 + 2*y).\nAnswer: -180*y**5 - 36*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 4*q - 7. What is the tens digit of j(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*1\/9*7*(-1314)\/(-511).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14221037, 28442075, 42663113, 56884151, 71105189, 85326227?\n\"Answer: 14221038*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/3675 - -7376\/47775. Sort 1\/11, 7099, r.\nAnswer: 1\/11, r, 7099","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3560 and 2492.\nAnswer: 24920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2033920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -59*t**2 - 3*t + 31. Let j(s) = -58*s**2 - 4*s + 34. Let v(m) = 5*j(m) - 6*u(m). What is the first derivative of v(g) wrt g?\nAnswer: 128*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -47263?\nAnswer: -47266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149312951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 121*a + 2306. Give c(18).\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -140, -1207, -4108, -9761, -19084, -32995, -52412, -78253?\n\"Answer: -153*y**3 + y**2 + y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25288762919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5) + (0 - -11) + -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 2\/11 (c) -0.075 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78, -75, -72, -69?\n\"Answer: 3*d - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -229 + 29. Let z = 107 - p. Let s be (6 - z)*4\/(-6). What is the highest common divisor of s and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one halves of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) -31 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*u = 128*u - 1627163 - 3791893. What are the prime factors of u?\nAnswer: 2, 3, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*2 - ((-48)\/(-21) + (-42)\/147). Solve 4*u + 22 = -p, -c*p + 17*u - 19*u = 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*h + 3*c - 20, 5*h = -3*c + 61. Let x be (-2)\/(h\/(-6) - (-4)\/12). Solve -2 = -3*i + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3, -2\/13, 2, 7\/2, 95.85 in decreasing order.\nAnswer: 95.85, 7\/2, 3, 2, 1\/4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74758, -299632, -674608, -1199686, -1874866?\nAnswer: -2700148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -10*c**2 + 7*c + 7. Let a(h) = 7*h**2 - 5*h - 5. Let z(v) = 7*a(v) + 5*l(v). Let k(j) = -2*j**2 - j**2 - 4 + 2 + 8*j**2. What is -k(m) - 6*z(m)?\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2\/(2\/1). Find the second derivative of 23*r + 13*r**2 - 2*r**g - 15*r**2 + 7*r wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5751*p**4*v + 2*p**3 - 164*p**2*v + 2*v + 28 wrt p?\nAnswer: -138024*p*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (40\/(-12))\/((-1)\/3). Let q = 912 + -899. What is the first derivative of -r - 6 - q*c + 5 - 6 wrt c?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 13815304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:50 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-4)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(-10*k - 4*k + 0*k) + 5*k + 0*k - 4*k in the form b*k + n and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 27*v**2 + 13*v + 15. Calculate w(-14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2729 - 2678 = -41*x, 5*r + 4*x = 46 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 39\/18167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4 + 1)\/(-33*45\/396)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 3*y**4 + 0*y**5 - y**2 + 2*y + 5*y**4 - 3*y**3 - 7*y**4.\nAnswer: y*(y - 1)**2*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 583 + -580. Suppose -g - 2496 = -2*i - 647, i - 937 = p*g. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 10*y - 5*y. What is the tens digit of ((-3)\/y)\/((-4)\/(-424))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435\/(-85) - (-64)\/24*6\/136.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278460 divided by 260?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 10 + 0*k + 0*k**3 + 1\/40*k**5 + 0*k**2 + 1\/16*k**4. Factor n(c).\nAnswer: c**3*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:58 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 10 - 5. Suppose 0*t - m*t = 0. Which is smaller: t or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 14*h + 41. Let v(x) = 5*x + 14. Let b(c) = 3*m(c) - 8*v(c). Let a be b(-8). Let t(r) = -r**3 - 6*r**2 - 5*r + 3. What is t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*p - 9*p + 805 = 12*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:56 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -35*c**4\/6 + 50*c. Let r(g) = 4*g**2. Determine r(j(l)).\nAnswer: 19600*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -80241143 - 41078857. What is f rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyysyysysyyyy. Give prob of sequence sss.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q. Let j(f) = -25*f**2 - 2*f - 2. Let k(m) = -3973*m**2 - 319*m - 319. Let o(n) = 319*j(n) - 2*k(n). Determine o(p(s)).\nAnswer: -464*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 + 7*x - 7. Let f(u) = u. Let b(k) = d(k) - 6*f(k). List the prime factors of b(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4113, -5150, -6877, -9294, -12401, -16198?\n\"Answer: -345*f**2 - 2*f - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.2, -1, 1, 3\/7, 14 in descending order.\nAnswer: 14, 1, 3\/7, -1, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4501 + 2460. List the prime factors of b.\nAnswer: 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4*(((r*r**(-6)*r)\/r)\/r)\/r)\/(r**(5\/4)\/r**(-1\/3)) assuming r is positive.\nAnswer: r**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.24 + 25.14. What is the closest to r in -0.2, -0.03, 18?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:54 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.799946um?\nAnswer: 7799.946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*f + 32 + 6, 0 = -j + 5*f - 22. Let u(a) = a**2 + 3*a - 7. Let r be u(-5). Suppose -2*w + r*x = j, -3*x + 4 = -8. Solve -4*p = -w*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 5166297198.\nAnswer: 5166297198.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f*m**3 + 31637354*f - 507*m**3 + 393*m**2 with respect to m.\nAnswer: -9*f*m**2 - 1521*m**2 + 786*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108611*s - 4 - 41353*s + 9 - 6.\nAnswer: 67258*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 1. Let x(h) = 5*h - 6. Let j(i) = -11*t(i) + 2*x(i). Let p(s) = -2*s**2 - 2*s - 8. Let d(m) = 6*j(m) - p(m). Solve d(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)\/(i*i**2))**(5\/4)*(i*i**(2\/5)*i)**(3\/5)*(i*(i*i**1)\/i)**(32\/5) assuming i is positive.\nAnswer: i**(537\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 145355 + 145346 = -3*s, 4*s - 13 = -3*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 5. Let b be v(-4). What is the units digit of -1 + (2 - b) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2305 (base 13) in base 9?\nAnswer: -6651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/5 + 5212*a**2 - 15081522*a\/5 = 0 for a.\nAnswer: 0, 607, 12423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + ((((sqrt(228)*-3 - sqrt(228)) + sqrt(228) - sqrt(228)) + sqrt(228))\/sqrt(12) - sqrt(19)))*-2.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/4)\/s*s*s**21 assuming s is positive.\nAnswer: s**(89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 31\/13, 5, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81070 at least 81208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2. Let y(k) = -k**2 - 7*k - 4. Let d be 2*-1 + -5 + 1. Let c be y(d). Let s(x) = -3*x - 2 + c + 4*x. What is u(s(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 + 10 = -5*v, -3*x + 2 = 2*v. Suppose -40 = -4*m + x*m. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*z - 5, -4*z - 8 = -3*g + 4*g. Let t(b) = -b**2 + 3*b + 2. Let a be t(2). What is the highest common divisor of g and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p)**10\/(p**7*p**(-2\/5)) assuming p is positive.\nAnswer: p**(217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/4, 740, -0.5, -1\/8 in increasing order.\nAnswer: -0.5, -1\/8, 0.1, 1\/4, 740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) 1\/4 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:34 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/5)\/(d\/(d*d*d*d*d**(-7)))*(d\/d**(-1\/2))**(-4\/15))**(-13) assuming d is positive.\nAnswer: d**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*w + 6 - 10 = -4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 52253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (5 - -2)\/1. Suppose -14*q = -u*q - 1165. List the prime factors of q.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 20*n - 54 + 13 - 11*n - 14*n + 17.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 19*d**5 - 2 + 2*d**2 + 25*d**5 wrt d?\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 552\/(-6) - -3 - 3. Let g = h + 85. Which is the nearest to 0.1? (a) -0.1 (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 5*f + 3. Let h be m(-5). Let l(y) = -5*y + 40. Let t be l(5). Suppose -4*b - b - t = 0, 27 = 2*i - 5*b. Solve -h*x + 12 = -i*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 466748776 and 16?\nAnswer: 933497552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)\/(l*(l\/l**0)\/l)*l**2*l**(-1))\/((l\/(l\/(l*(l*l**(2\/7))\/l*l)))**41*(l**(-1\/3))**(-35)) assuming l is positive.\nAnswer: l**(-8915\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwwwwqw. What is prob of sequence qq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 7*o**2 - 10*o - 3. Suppose j + 32 = 3*p, 47 = 4*p + j + 2*j. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9\/76, 7134 in ascending order.\nAnswer: -9\/76, 0, 7134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 232723 (base 11) to base 16\nAnswer: 5a397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1433, 1047, 7, -2011, -5331, -10277, -17173, -26343?\nAnswer: -38111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85768*s**3 - 57*s**2 - 164 wrt s?\nAnswer: 514608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/2*j**3 - 18*j**2 - 135\/2*j - 75 = 0. Calculate j.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 28*p**3 + 5*p**2 + 3*p + 51. Let n be b(6). Let k(x) = 6297 - n + x. Let y(c) = -2*c**2 - 35*c. Calculate y(k(o)).\nAnswer: -2*o**2 - 35*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 628.\nAnswer: -188.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 12 = 0. Suppose 6 = -i + 3*z, -i = s*z - 2*z + 1. Does -3 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from wwwtttwwttwwtt.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 32834693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 464*k - 1956. Give a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11111, -44680, -100629, -178958, -279667, -402756, -548225?\n\"Answer: -11190*g**2 + g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33739*z**3 - 85*z**2 - 22*z + 13.\nAnswer: 202434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*o + 536 + 586 = 0, -o - 755 = -2*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2977570447 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001105857 rounded to six decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 4. Let b be 9\/7 + 4\/(-14). Suppose 0 = 4*n + b - 5. What is the remainder when z is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -7 + -15 - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 - g**2 + g**2 + (4 - 4 + 1 - 2*g + 2*g**2)*(-7*g + 146*g + 68*g) - 5*g**2 - 2*g**3 + 5*g**2.\nAnswer: 410*g**3 - 414*g**2 + 207*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 0*q**3 + 5*q**3 + (-9*q - 19*q**2 + 9*q)*(2*q - 4*q + q)*(-1 - 2 + 5) as w*q**3 + d*q + t + u*q**2 and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a56 + 158a?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28005.34ns to milliseconds.\nAnswer: 0.02800534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g**2 + 1422*g - 4256. Give k(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202101 + -101012222?\nAnswer: -102222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - (18951\/(-7) - 2). Suppose -6*w - 3*w + x = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 537894826 divided by 2.\nAnswer: 268947413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-14)*(-1428)\/408.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10002 (base 6) to base 3.\nAnswer: -1210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16481299?\nAnswer: 523, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y - 179. Let t be l(20). Which is the closest to t? (a) -0.4 (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/240 and 25\/4848.\nAnswer: 24240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*u - 4*a, -24 + 20 = -3*u - 4*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, -2, -36, -98, -194, -330, -512?\n\"Answer: -w**3 - 5*w**2 + 10*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 258791*m**3 + 2*m**2 + 3*m + 9653729.\nAnswer: 776373*m**2 + 4*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-31)\/5 + 6\/30. Let s(q) = -2*q**3 + 9*q**2 - 2*q - 2. Let m(x) = -x**3 + x**2 + 1. Let g(z) = -3*m(z) + s(z). List the prime factors of g(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 65. Solve -3*o = -p + y, -4*o + o = 4*p + 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 410611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvdaadada. Give prob of picking 1 v and 1 y.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1843647 and 0.31.\nAnswer: -571530.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and (-5)\/(-20) - 585\/(-12)?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23367516 and -8208?\nAnswer: 23359308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -4, 0 = -3*d - k + 3*k - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239149*l + 239173*l + 37 - 262 = 63 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -1\/10, 0.04, -0.25107?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.05 (b) 4 (c) 0.03 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**7\/5460 - g**6\/390 + 3*g**5\/260 - 13*g**3\/6 - 6*g**2. Let v(n) be the first derivative of u(n). Factor v(r).\nAnswer: 2*r*(r - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8 and -69\/3776?\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -1.5. Let g be 3 - (2 + (-8)\/(-6)). What is the closest to 2\/7 in w, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1945 = 13*w + 1776. Let c(x) = -8*x + 6. Let d be c(-6). Let m = d + -6. What is the remainder when m is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h - h)*(-2*h**4 + h**4 - h**4) + 2*h**5 - h**5 - 3*h**5 + (h**2 - h**2 - h**2)*(-41*h**3 - 32*h**3 - 23*h**3).\nAnswer: 98*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1205101*b**4 + 2*b**3 + 2894859*b**2.\nAnswer: 28922424*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 - 13 + 23 - 2054*o + 1325*o**2 + 1357*o**2 wrt o?\nAnswer: 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519949 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1108 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 + 0.06. Let o = 0.4 - u. Let d = 58.5 + -59. What is the third smallest value in o, d, -3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 + 173 - (-9 - -4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4816 + 14517. Is a a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/9 + 824*b**3\/3 + 172536*b**2 + 23066880*b + 132249600 = 0. Calculate b.\nAnswer: -240, -6, 1722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/459*(-2)\/22*-3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 3*l - 4. Let c(p) = 2*p**3. Let a be c(1). Let f(t) = 3*t + 3*t**2 + 5 + a*t**2 - 4*t**2. Let o(b) = -5*f(b) - 6*u(b). Calculate o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355228 is divided by 20220.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 49. Suppose 0 = -m + 3, -30 = -s*o + 2*m + 122. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2273?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2061.2 and -575.\nAnswer: 1185190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -16*g**2 + 8*g - 8. Let k(t) = 2*t**2 + 1. Let u(z) = -13*z**2 - z - 6. Let c(i) = 7*k(i) + u(i). What is -24*c(v) - 3*o(v)?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 484 = 9*g. What is the common denominator of -67\/27 and -1 + (-2)\/(-2) - g\/66?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 20, 33, 48, 65, 84?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - 8 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -858.1 - -741. Let a = 117 + z. Which is greater: a or 28\/11?\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -831730*y**3 - 804*y**2 + 114 wrt y?\nAnswer: -4990380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*z + 49*z + 704 = 0. Suppose -3*s + 389 = 2*s - y, -4*s + 312 = -y. What is the greatest common factor of z and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 110*t - 7617. Determine z(21).\nAnswer: -5307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -14*s**5\/5 + s**2\/2 + 147*s - 35. What is the derivative of x(n) wrt n?\nAnswer: -56*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002021122021 + -1202012?\nAnswer: 1002012220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78.20771g?\nAnswer: 78207710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1357252022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let x(y) = -3378*y**2. Give x(t(a)).\nAnswer: -3378*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32232673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 23*x - 71292 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2523\/4 + -68045\/108. Suppose 0 = 2*o + 2*o + 5*c + 30, -3*c + 6 = 0. Calculate the common denominator of j and (-139)\/12 - o\/15.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 4*j + 11. Let f be t(-5). Is f less than or equal to -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 6*h - 22. Suppose 0 = -5*k - 0 + 10. Solve -h*s + 4*s + k = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uddududdduud. What is prob of picking 3 d?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m**2 - 6*m**2 - 18*m**2 to b*m**2 + c*m + d and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -8, 0.001, 2, 1, -5\/2?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/4)\/((-47)\/(-383 - -7))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6284, 6283, 6278, 6269, 6256, 6239?\n\"Answer: -2*p**2 + 5*p + 6281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*g*s**3*t - 2*g*s**2*t - 3009*g*s - 49*g*t - 178*s**4*t - 7*s**3 wrt s.\nAnswer: 162*g*t - 4272*s*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/21 and 8\/49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20901203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 5\/12 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-69 + 95 + 27)*((2 + 1 - 2)*(0*i + 0*i - i) - 3*i + 6*i - i + (0 - 2 + 0)*(-21*i + 6*i + 7*i)) as m*i + q and give m.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + -2*(0 + sqrt(1331) + 0))**2*-5.\nAnswer: -26940 + 1760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300691.6 millilitres to litres.\nAnswer: 300.6916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-55)\/(-21) - 4\/14. Let g = 29\/15 - f. Let s = -22 + 25. Which is the biggest value? (a) s (b) 2\/13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kke when three letters picked without replacement from kkekkeekkek?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36938 divided by -18\nAnswer: -18469\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2320 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2072 and 18389?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)\/b**13)**(25\/6) assuming b is positive.\nAnswer: b**(-275\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 52 = 4*j + 43, 0 = 2*j. What is the remainder when 526 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 9:31 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 + 214. Suppose -28*d = -24*d - z. Let p = -25 + d. What is the greatest common factor of 72 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.088 - 0.932. Let u = 0.02 + r. Which is smaller: -12 or u?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 19 + -3)\/((-18)\/12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -267, -283, -325, -405, -535, -727, -993, -1345?\n\"Answer: -2*p**3 - p**2 + p - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*d - 534*d - 389*d + 1265*d - 317*d**3.\nAnswer: -317*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -718*w + 13888. Calculate the remainder when 8413 is divided by t(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 466, 1205, 2240, 3571, 5198?\n\"Answer: 148*k**2 - k - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 2775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064387 to 6 dps.\nAnswer: 0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*g + 7 - 5, g + h = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/6*(((-54)\/(-5) - 9) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 54 = -7*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -727*p - 12. Let s(a) = 2182*a + 33. What is -11*r(c) - 4*s(c)?\nAnswer: -731*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 83*y - 2181. What is the units digit of z(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -202091079, -202091090, -202091109, -202091136, -202091171?\n\"Answer: -4*z**2 + z - 202091076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/4 + 110662*t = 0 for t.\nAnswer: 0, 442648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 30 = -10*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (7 + -2) - -7) + -48.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*b + 2 = 0, -2*s - b = 16 - 21. Let t(p) = -p**3 + p + 1. Let c(i) = 5*i**3 - i**2 - 6*i - 4. Give s*t(o) + c(o).\nAnswer: o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*b + 78*b - 2*b**3 - 101*b + (-3 + 3 + 2*b)*(-b**2 + 0*b**2 + 0*b**2) - 3*b**3 + 2*b - 2*b to z*b + q + s*b**2 + x*b**3 and give z.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-8 + 2 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1727 - 1171. Suppose 0*f + q = 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 5*s + 3. Let c be l(-3). Let x = c - -58. Let n be x - ((-48)\/3)\/(-4). Solve 0 = -g + 5*d - 16, g + 2*d - n = -3*d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 15. Find the second derivative of 39*p**d - 12*p**5 + 6*p - 14*p wrt p.\nAnswer: 540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 4*w + 5. Let g be k(5). Suppose g*h + 15 = 3*h. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4798269 divided by 685467\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1653.1 + 0.01604165976\nAnswer: -1653.08395834024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 228*c**3 - c**2 + 317*c**3 - 2 - 705*c**3 + 277*c**3 as x + k*c + y*c**3 + p*c**2 and give y.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152864910?\nAnswer: 2, 3, 5, 11, 154409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 15) in base 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*b + 128 = 0. Find the common denominator of 125\/6 and (234\/8)\/(24\/b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-81)\/(-6)))\/(-28*(-3)\/(-108)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*m - j, 4*m - 163*j = -161*j - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10490 = -10518*n + 10513*n. Which is smaller: 2100 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1536 and 1248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a - 307. Let v be k(26). What is the greatest common divisor of 535 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-28)*(-56)\/144\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxxxiqxxxiiiqi. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239925?\nAnswer: 3, 5, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 42 + j - 21 - 6*j**2 + 2*j to the form q*j + v + u*j**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g**5 - 2990*g**4 + 3*g - 3129 wrt g.\nAnswer: 60*g**3 - 35880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -14, -30, 5, 15.\nAnswer: -30, -14, -1.5, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 191. Suppose 0 = 2*g + g - 63. Let z = -15 + g. Solve 3*r - r - z = v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*r - 2*m, -4*r + 4*m + 16 = 4. Suppose -5*i - 5 - 11 = -4*l, 3*i + r = 5*l. Let u be i\/(-10)*45\/(-63). Put u, -5, -3 in increasing order.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 11) to base 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/7*102\/204)\/((-20)\/(-112)). Let i(a) = -a**2 + 6*a + 6. Let r be i(6). Factor -r*m**3 + 8\/5*m**4 + 0 + q*m + 24\/5*m**2.\nAnswer: 2*m*(m - 2)**2*(4*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7719511961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**5\/5 + 217*r**4\/4 - 5256*r**3 + 194400*r**2 - 373248*r - 83. What is t in p(t) = 0?\nAnswer: 1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 15*m**2 - 12*m = 0. Calculate m.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10335322 - 13?\nAnswer: 10335306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*g - 11*g + g**2)*((-g - 4*g + 2*g)*(g + 0*g + 4*g) + g**2 + g**2 - g**2) as f*g**3 + y*g**4 + c + m*g + n*g**2 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92, -1323, -3378, -6257, -9960, -14487, -19838?\n\"Answer: -412*a**2 + 5*a + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**34)\/(p\/(p\/p**(-32))))\/((p**16\/p)\/(p*p**25)) assuming p is positive.\nAnswer: p**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - 122?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 269 - 127. Let y = -98 + q. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 50. Let k(q) = 2*q + q**2 - 5 - 2*q. Calculate the remainder when 31 is divided by k(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7 - 5. What is the tens digit of (33\/(-15) + j)\/((-1)\/(-65))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38840\/7 + -5548. Factor 6\/7*y + p + 2\/7*y**2.\nAnswer: 2*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-108))\/2)\/(4\/80).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**5\/80 + a**4 - 32*a**3 + 22*a**2 + 3*a. Factor m(y).\nAnswer: -3*(y - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -996477 and -27.\nAnswer: 26904879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -86009.9 and 88?\nAnswer: 86097.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13659890.9999968 - -13659910. Let a = -106 + 125. Let w = a - d. Round w to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.06 - -1.16. What is the closest to 2 in m, -2\/13, -2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.2. Which is the second smallest value? (a) -1 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8863, 8862, 8861, 8860, 8859, 8858?\n\"Answer: -s + 8864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*f**2 - 9952*f + 16344.\nAnswer: -2*(f + 454)*(11*f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 15. Let k be o(-5). Let y = k - -27. Differentiate 18*u + 5*u**2 + 25 + y*u - 35*u with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 + -0.3. Sort x, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11515*j**2. Let u(a) = 36*a. What is c(u(q))?\nAnswer: 14923440*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4267, 34229, 115547, 273901, 534971, 924437, 1467979, 2191277?\n\"Answer: 4280*u**3 - 2*u**2 + 8*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -393 + 264 + 116 - 2*i. Let w be (-3)\/(-6) + (-42)\/4. What is v(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/3)\/v)\/v*v)**45\/(v\/(v**(-7)\/v)*v\/v**2) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zixtztztmti. What is prob of sequence txz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75*x**3 + 95*x**2 - x - 1722.\nAnswer: -225*x**2 + 190*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1200444*s**2 - 27122163?\nAnswer: 2400888*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + 0.2. Let p(i) = -1 - 11*i**2 + 16*i + 7*i**2 + 2*i**2 + i**2. Let g be p(16). Which is the biggest value? (a) g (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*g - 925, -42*u + 40*u = g - 193. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/18 + (-28)\/6 - -15. Suppose -a*w = -15*w + 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 65*q - 8 = 0. Solve -7 = -3*i - 2*t, -22 = -3*i - 7*t + q*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 64*f + 9. Suppose 2*p = -z + 12, -2*z - 12*p + 7*p + 22 = 0. Let r be (6\/10)\/(z\/80). List the prime factors of w(r).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 810 and 3080450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196751570?\nAnswer: 2, 5, 37, 643, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3\/2 - 2447*l**2\/2 - 1105299*l = 0.\nAnswer: -702, 0, 3149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 133 + 289 - 143 = 15*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 0*h**3 - 3*h**2 + 0*h**3 - 1 + 4*h**2 - h**3 + 4*h. Let v be y(3). Let j = v - -2. Does j = -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 175 and 0.0723.\nAnswer: 175.0723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -261*q + 259*q + 41772. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1641280 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.16 + 0.66. Let l = 6.7 + -6.6. Which is the second biggest value? (a) d (b) l (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 202.9683 - -0.0317. Let l = m + -81. Let k = l - 121.999585. Round k to 5 decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {y: 2, g: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjqjgigjjggj. What is prob of picking 1 i and 1 j?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9433663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-3)*4\/(-42). What is the nearest to 0 in 4, v, 15?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(6*v - 43*v - 97*v) to the form l + z*v and give z.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*o - 3*s, o - 3*o = 2*s - 20. Calculate the remainder when 390 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 3970.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -166, -170, -176, -184?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 8*b**2 - 2*b + 41. Let v be f(-7). Let p = -191 + 774. Suppose -3*o = r - p, -2*r = -v*r + 16. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a year in months?\nAnswer: 183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -62 (c) 186 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n**2 + 7*n - 8. What is the remainder when u(3) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m + 66 = 92*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from iiiilciiiiiccicrcii.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3 - 275*d - 4446 wrt d.\nAnswer: -6*d**2 - 275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9192*y**2 + 4608*y**2 - 3*y**3 + 4584*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 52546962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 29*a - 428. Let o be s(15). Suppose -4*x + x = -5*w + 44, o*w - 5*x = 64. Solve 8 = -11*m + w*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -1\/2*b**4 + 0*b**3 + 14*b + 12 + b**2 + b**5. Find the second derivative of x(q) wrt q.\nAnswer: 60*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*n. Suppose n = -7*f + 4*f - 42. Let y(c) = -c**3 - 12*c**2 + 11*c - 5. Is y(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -306.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/176963 or 1?\nAnswer: 34\/176963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 336 = 49*k. Suppose 0 = 5*f + 7 + 3, -3*j - 29 = 4*f. Put -4, j, k, 3 in ascending order.\nAnswer: j, k, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 18*m + 21940. Let d = -295 + m. Suppose 8*y - d = 1030. What are the prime factors of y?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2798431*a - 125097*a + 167378*a.\nAnswer: -2756150*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + -1 + -2.\nAnswer: -3 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 3*z + 11, -p + 6*p + 10 = -5*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*p = -545*p + 1442 - 320 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 + 110.4. Put -4, -18, k in decreasing order.\nAnswer: k, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0, 2\/5, 35, -4, -94 in ascending order.\nAnswer: -94, -4, -1\/3, 0, 2\/5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7275 + 4*m**3 - 7300 + m - 38*m**3 + (m + 2*m - m)*(0*m**2 - 2*m**2 + m**2) - 2*m**3 + 4*m**3 - 3*m**3.\nAnswer: -37*m**3 + m - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = 5*y + 9. Suppose 4*v = v + y. Suppose 2*i - v = -c + 3*c, 0 = -3*i - 3*c. Solve i*a + 14 = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 divided by 410?\nAnswer: 744\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 955.99\nAnswer: -105.1589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1971969, 3943941, 5915913, 7887885, 9859857?\nAnswer: 11831829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/7 (b) -13 (c) 25321.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 263, 414, 585, 782, 1011, 1278, 1589?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.4 (c) 0 (d) 114.2 (e) 2\/207\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 382 - 18 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 9134 + 4033 = 0. Suppose -2633 = -2*d + p. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 159 = 3*c, 9*c - 4*c - 261 = 4*t. Let p = -17 + c. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -40. What is the lowest common multiple of 1 and 3*(l\/(-3))\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvnvnnnn. Give prob of sequence vnnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 17*h**3\/3 + 25. Let a(z) = 2*z. Determine j(a(q)).\nAnswer: 68*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18945.68t?\nAnswer: 18945680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -281\/2, -3\/7, -0.2?\nAnswer: -281\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 1123*y**3\/6 + 431*y**2 + 16*y - 5. What is the first derivative of f(u) wrt u?\nAnswer: 1123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 564 - -1?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-20))\/((-2)\/(-10)). Let o be (-7)\/(-14) + (-14)\/s. Factor 2*n**5 + 2*n + 4*n**o - 4*n**3 + 4 + 2*n**4 - 4*n**4 - 2 - 4*n**2.\nAnswer: 2*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c2 + 11bb?\nAnswer: 179d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.24056 days in minutes?\nAnswer: 78106.4064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*1*4*-6)\/((sqrt(50) - sqrt(100)\/sqrt(2)*-3)\/((sqrt(20) - sqrt(20)*-2)\/sqrt(2)))*-3.\nAnswer: 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*12\/(-3)*(799\/170)\/(-47)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 - 34*q**2 + 68*q - 368. What is p(7)?\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 162*m**3 - 23*m**3.\nAnswer: -186*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 16) in base 4?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -32 + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 13. What is the least common multiple of q and (-12)\/(-9)*(5 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1194\/5 + -238. Let t = -0.08 + 1.18. Let u = t + -1. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 52961637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - p**2 + 6. Let t(b) = -9 - 3*b + 9. Suppose -5*r + 12 = r. Let k be t(r). Let h(g) = g**3 - g**2 + 5. Give k*h(d) + 5*j(d).\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 + 1 - -2) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, 2.5, 0.1 in increasing order.\nAnswer: -2, -1, 0.1, 1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14395 divided by 62?\nAnswer: -14395\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 7*p**2 - 90*p - 232. Calculate d(14).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101 + -101011111111?\nAnswer: -101100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5672 + -5607. Calculate the smallest common multiple of 45 and x.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4066\/1037 or 4?\nAnswer: 4066\/1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3252\/14 - (-110)\/154 is divided by 223?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2\/17, 11, 284\/709, 0 in descending order.\nAnswer: 11, 284\/709, 1\/5, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -7*x - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**4\/8 + a**3 + 3*a**2\/4 - 3*a - 127. Determine l, given that z(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -435ce9 (base 15) to base 7.\nAnswer: -36164115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 + r + 5. Suppose 3*g = 4*w + 12, 0 = 3*w - 4*w - 5*g + 20. Calculate n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-27) + 3\/(-18)*2. Which is the second smallest value? (a) t (b) -0.4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:50 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 980 = 10*d. Let o = d - -341. Suppose -2*a + 837 + o = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 32*z - 223. Let q be p(-11). Let g(j) be the first derivative of -q - 1\/2*j**2 + 10*j. What is g(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*y**2 - 121 + 121)*(10*y - 15*y - 15*y + (0*y + 2*y - 3*y)*(-2 + 2 + 2)).\nAnswer: 1936*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 + -162. Let u(q) be the first derivative of f*q - 1\/4*q**4 - q**3 - q**2 + 5. Solve u(a) = 0 for a.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (0 - 1\/(-5)) + 969\/255.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -2*g + 20 - 9, g - 5*n - 23 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 589 + 31 = 0. Suppose -4*v + p = 2*k, -2*v - 129 = -5*v + 2*k. Calculate the highest common factor of v and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 56, 0, 4, -7 in decreasing order.\nAnswer: 56, 4, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 234*h - 212*h + 44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.14 * 0.07\nAnswer: 0.0798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*b - 285*b = 10, j + 4*b = 39 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*t = -4*t - 372, t = -5*f + 382. Let u = -45 + f. What is the highest common factor of u and 341?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498906294.\nAnswer: 2, 3, 19, 23, 179, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -122 + 3?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*a*g**2 - a*g + 6322*a + 136*g**2 + 3*g wrt g?\nAnswer: -18*a*g - a + 272*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -119, -232, -345?\n\"Answer: -113*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126962, 256222, 385494, 514784, 644098, 773442?\n\"Answer: r**3 + 129253*r - 2292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -54. Let b be ((-26)\/k)\/(2\/(-81)). What is the highest common divisor of 189 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3702644 by 20.\nAnswer: -925661\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372410687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuuukuputt. Give prob of sequence kutu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:06 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95896154?\nAnswer: 2, 19, 23, 109721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 at most as big as 11452\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Suppose u - 1 = 1. Let d(x) = -x**u - x**2 - x**2. What is d(n(l))?\nAnswer: -12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*1*1 + (sqrt(1539) - (sqrt(1539) + -2 + sqrt(1539))) + -4 + sqrt(1539) + -5)*3)**2*-2 + 2.\nAnswer: -28582 + 2268*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = 5*n + 4, 0 = v - 5*n - 24. Suppose 7*z - 5 - v = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494315 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 49, -3, 1 in descending order.\nAnswer: 49, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16081 (b) -15 (c) 4 (d) -1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3119 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 39*q**3 - 3*q - 12*q**2 - 38*q**3 + 12 + 2*q. Let g be a(12). Let c be (0 - 2\/(-8)) + -1. Is g not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17)*2)**2 + -3*sqrt(153))*-4.\nAnswer: -288 + 68*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.3 (b) 1 (c) -0.084\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1\/5)*c**(1\/4))\/(c*c**1*c)**(-13\/4) assuming c is positive.\nAnswer: c**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 2907. Let m(a) = 5*a - 836. Calculate m(d(x)).\nAnswer: 5*x - 15371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80318670 divided by 5.\nAnswer: -16063734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.15 and 191?\nAnswer: -28.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) 2\/33 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 63*v**2 - 351*v - 85. What is x(-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/((-6)\/(-390)))*(-10)\/(-2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -4.3. Let f = -2 + x. Let p = -0.2 - f. Which is the second biggest value? (a) -0.4 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*n + 9332, -9*j - 2336 = -n - 8*j. Suppose -n = -11*h - 519. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**2 + 6*x + 12. Let o(d) = -13*d**2 + 11*d + 22. Let r(h) = -11*c(h) + 6*o(h). Let l(y) = -94*y**2. Calculate r(l(a)).\nAnswer: -8836*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 7*g + 4. Suppose 5*x = -2*h - 7 + 1, -4 = -4*h - 2*x. Suppose 4*i + 5*r - 18 = 0, -5*i + h*r - 18 = -57. What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*p)*(30*p - 28*p + 31*p).\nAnswer: -66*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6705580*q**3 + 29116*q**2 + q + 24.\nAnswer: 40233480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:16 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -718, -552, -276, 110?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.3 * 3211\nAnswer: 10596.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1979 + 255 - 347 + 1037)*(2*f - 6 + 3 + 4) to the form r + d*f and give d.\nAnswer: 5848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*f**3 + f**2 - 12*f**3 - 29*f**3 - f**3 + f**2 - f**2 + (2 - 5 + 2)*(2*f**3 - 2*f**3 + f**3).\nAnswer: -87*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/9)\/(x\/(x\/x**(-13))))\/(x**(1\/9)\/x)**(-33) assuming x is positive.\nAnswer: x**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/6 + 502*h**2\/3 + 254989*h\/6 + 249001 = 0?\nAnswer: -499, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.3 + -6.7. Let y = -57.9 - c. What is the third smallest value in -5, -3, 2\/13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2 = 3*q. Is 1964 + (0 - (-3 + q - 1)) 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 qzffwz. Give prob of sequence wffz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 3, -0.6552, 0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.64 and 14704878.\nAnswer: 14704886.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*b - 12, 8 = -s + 524*b - 525*b for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7433 is divided by 7344.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1088.\nAnswer: -3\/1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -3069ea?\nAnswer: -3069e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 132859187455.\nAnswer: 132859187456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 84*y + 40. What is a(-2)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g - 43. Let w(z) = 3*z - 11. Let i(q) = 2*h(q) - 9*w(q). Let m be i(9). Let -o - m*o - o**2 + 5*o = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 + -99. Let f be (2 - k\/16)*-4. Let t = -6 + f. Solve -x = -2*o + t, -3*x = -2*o + x + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157 + 17*v**2 - 158 - 4*v**2 + (-3*v + 7*v - 2*v)*(-3*v + 4*v + 3*v) + 2*v**2 + 4*v - v - v to the form o + k*v + l*v**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 8*v + 6*v + 91544*v**3 - 21*v.\nAnswer: 91544*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqwwjwwwzqwwwza. What is prob of picking 3 w?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 7\/6, 0.04, 1, -0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 417373 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.939927 - 45.6786. Let j = -0.261 + x. What is j rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -2 (c) -5 (d) 7 (e) 51\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5944830 and 17040.\nAnswer: 47558640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-146)\/(-2) + 34\/17. Calculate the highest common factor of o and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*37*24\/(-36). Let n = v + -51. What are the prime factors of n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 1581808.\nAnswer: 1581808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 114*m. Let l(a) = -119389*a. Calculate l(q(c)).\nAnswer: -119389*c**2 - 13610346*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51745495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ecipcpemmpeipmjec.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 1) + (29 + -37 - -16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 49040*v + 49951*v + 3.\nAnswer: 911*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313073\/6 or -52180?\nAnswer: -52180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 754942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6055\/164696*32\/(-30)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -c**3\/3 - 13*c**2\/2 + 26*c + 41. Is w(-8) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90623 - 0.114.\nAnswer: -90623.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 731 is divided by 90.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s - 4. Let v(d) = -6*d**2 + 17*d - 17. Let i(z) = -2*z**2 + 6*z - 6. Let m(q) = 17*i(q) - 6*v(q). Calculate m(r(x)).\nAnswer: 50*x**2 - 80*x + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/4)\/(75\/180) - -34?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(24)\/sqrt(2)*4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -395*a**3 + 7*a + 8. Is 44 a factor of i(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581887600?\nAnswer: 2, 5, 7, 71, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -2\/15 (c) 2 (d) -0.5 (e) 119 (f) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*-173.4\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 322569 by 3.\nAnswer: 107523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyarkryykyakka. What is prob of sequence kk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994046269.\nAnswer: 23, 233, 185491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**6)\/j*j*j**(-6)*j*j*j**(1\/3)*j**(2\/19)*j)\/((j\/j**(-1))**(-41\/3)\/(((j\/j**(1\/2)*j*j)\/j)\/j*j\/(j**(6\/5)\/j))) assuming j is positive.\nAnswer: j**(18851\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - u - 5. Give g(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - s. Let v be d(1). Suppose 0 = v*k - 3*p + 159, 2*p - 4 + 2 = 0. Let h = k + 68. What is the remainder when 57 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.5, -1.7381543 in increasing order.\nAnswer: -1.7381543, -0.8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-8)\/(-48)*(4 + -1)). Let a(b) be the second derivative of 0 + 2*b + 0*b**x + 5\/6*b**3. Let u(d) = -3*d. Give u(a(i)).\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwx when three letters picked without replacement from xxxxxxxxwxxxxxwxxxx.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551454126.\nAnswer: 2, 3, 17, 1663, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/3 + 10\/(-25)*-5. Sort 3\/5, -3, k in increasing order.\nAnswer: -3, k, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*w + 2*w. Let j be 1 - (0 + 1 - 2). Suppose 0 = w*x - j*x - 106. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/7))\/(o\/(o*o\/o**(-12)*o)))\/(o**9*o*o**(-5)\/o) assuming o is positive.\nAnswer: o**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-113385)\/(-20) - ((-14)\/8 + 1).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -2 - (32 + -27) - 7) + 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7*i - 4*d + 11 = 0, i - d + 2 = 0. Solve 0 = -i*r - 1 + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18533 + -18535. Which is the closest to -2.47? (a) v (b) 1 (c) -3\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/44 and ((-354)\/56)\/(12\/4).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 5*s = -1761982. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/(-6)*3\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let h(m) = -3*m + 3. Let d(t) = -64 + 35 + 30. Calculate w*d(v) + h(v).\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*o + 30 = 0. Suppose g - 5*u = 64, g - 2*u + o = 84. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 divided by -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 75 (base 12) to base 15\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6270 divided by 66?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/2 + 3*m. Let q be (1*-3 + 2)*0. Let p(v) = -4*v + q*v + 2*v. What is p(a(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)\/((sqrt(72) - sqrt(8))\/sqrt(4)))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**4 + 6*t**3 + 10*t**2 + 2*t. Let s(g) = 13*g**4 + 12*g**3 + 21*g**2 + 4*g. Suppose -4*o = -13 - 3. Let i(n) = o*s(n) - 9*j(n). Factor i(a).\nAnswer: -2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20670, 0 in ascending order.\nAnswer: 0, 4, 20670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.61559 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:30 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + (-4)\/30)*-80 and -19\/85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*k - 57 - 60, -3*x - 5*k = -33. What is the least common multiple of x and 185?\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312612?\nAnswer: 2, 3, 109, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r + 3. What are the prime factors of v(8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -20*g + 24*g**3 - 23*g**3 + 2*g**2 + 2*g - 9. Let x be f(-5). Solve -x + 2 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 555120 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574370929?\nAnswer: 3, 13, 349, 189139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, d: 11}. What is prob of picking 3 h?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/36)\/((-4)\/(-12)))\/((-33)\/297).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1738 and 109\/948.\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 2*j**2 - 21*j - 5. Let x be q(10). Suppose 5*b - x = -40*b. What is the highest common factor of b and 585?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 9*a + 6. Suppose 138 = 4*l + 2*f, l + 4*f = -l + 60. Suppose -4*k - 2*k - l = 0. Determine h(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let p(d) = -d**2 + 1630577*d - 7. What is p(q(x))?\nAnswer: -4*x**4 + 3261154*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/7 - 19 - (-126)\/15)*15\/(-48)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*d + 832*d + 15 = 419*d, -b + d = -0*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 26. Let p be -3 - ((-4)\/(-6) - 1433\/y). Suppose 0 = 5*l - 11 - p. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-6)\/(-12))\/(2\/(-28)). Let f = -6 - n. Solve f = -4*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5691 a factor of 242841623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 + 2*d**2 + 10994*d**3 + 4*d**2 - 21409*d**3 + 10422*d**3 + 0*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/60 + 32*o**5\/3 - 25277*o**4\/12 - 51842*o**3\/3 + 1399*o**2 - 1. Find r, given that w(r) = 0.\nAnswer: -2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 6 - 150*s**3 + 155*s**2 + 148*s**3 - 3 to the form z + k*s**2 + v*s**3 + r*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1190)\/(-1925) + (-8)\/10.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 3*k + k)*(-2919 - 3061 + 5864)*(-2 + 2 - 1) + (1 + 0 - 2)*(4*k - 2*k + 0*k) to the form b*k + i and give b.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -407881 divided by -1?\nAnswer: 407881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -553 divided by 925?\nAnswer: -553\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(0 + sqrt(1584)) + (sqrt(1584) + 1 + sqrt(1584) + 1)**2 + (-4 + -6*(sqrt(1584) - -1*sqrt(1584)) + sqrt(1584))**2).\nAnswer: -594060 - 3636*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 56 = -66. Let c(x) = x**3 + 7*x**2 + 11*x - 1. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h - 4. Let r(i) = 2*i**2 + 9*i + 9. Let t(l) = 4*r(l) + 9*u(l). Let v(y) = 5*y**2. Give t(v(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11382 - 22763\/2. What is the fourth biggest value in l, 1, 5, 0, 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -90*d - 1087. Give f(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128.073 * 0.16.\nAnswer: 20.49168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/6*90\/(-9). Let l = 61 - 87. Sort 0, l, w in increasing order.\nAnswer: l, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187\/920 + -9\/115. Sort g, 4, 653 in decreasing order.\nAnswer: 653, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/3)\/(-14))\/(15\/(-42))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -589781.7 * 20\nAnswer: -11795634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 8 = 0. Suppose -76 = -c*j - 2*j. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 2*y + 4. Let i(s) = 16*s**2 - 10*s + 21. Suppose -68 = 5*l + 97. Let q = -35 - l. Let d(o) = q*i(o) + 11*h(o). Calculate d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5875828.9 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*-5*sqrt(153))**2.\nAnswer: 306000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3256*u**3 + 9764*u**3 - 5*u**2 - 3252*u**3 - 3252*u**3 + 6*u**2.\nAnswer: 4*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 - 1\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7140)\/(-160) + -45 - (2 + 333\/8)) + -7?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -81?\nAnswer: -13\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*20\/(-6)*(882\/70)\/21.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1335733882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a**3*m*o - a**2*m*o + a**2*o + a*m*o - 7*a*m - m*o wrt a?\nAnswer: 90*a*m*o - 2*m*o + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from esyqqbsqqesebqes.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*z + 22, 4*g + 3*z = 83 - 49 - 69 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-70) - (-116)\/14. Let n = 3 + v. Let d(s) = 2*s**2 - 11*s - 8. Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(2 + -2)\/1. Let w = f + 4. Suppose 0 = -6*x + x + 25. Solve -o + x*o = -4, n - 1 = w*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - 3.9. Which is smaller: l or 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1\/(-8)*-2*(-939252)\/(-87)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-42) + 12\/7. Suppose -2*s - g - 10 = -6*s, -5*s + c*g = -14. Is (987\/6*s)\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 15350938?\nAnswer: 15350938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146475 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3440*g**2 - 72*g - 48. Let a(y) = -688*y**2 + 15*y + 10. Give 24*a(k) + 5*s(k).\nAnswer: 688*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 424.\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 14*r**2 + 3. Let y(d) = -29*d**2 - 6. What is 7*q(u) + 3*y(u)?\nAnswer: 11*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 10. What is n in -n + 0*n + 2*n**2 - n**2 - i*n**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 37*c - 38*c - 44, 2*c = 2. Let d = 79 - 112. Let r = d - -46. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 289*g**6\/30 - g**4\/3 + 16*g**2 + g - 7. What is the third derivative of w(v) wrt v?\nAnswer: 6936*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540348 by 111.\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j**2 - 150*j - 50. Give x(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -967, -976, -997, -1036, -1099, -1192, -1321, -1492?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 5*m**3\/3 - m**2\/2 + 4*m + 7. What is the remainder when i(2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*s - 470*s - 320*s - 534*s to the form u*s + h and give u.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 4*p + 4. Let w be s(-3). Suppose -g - 10 = -w. Calculate the greatest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from egggggegeeegheg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3 - 31064*v**2 + 120122952*v + 3875809536 = 0. Calculate v.\nAnswer: -32, 7782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/60 + 7*v**4\/12 + 5*v**3\/6 + 6*v**2. Let j be b(14). Let z(m) = -j*m + 2*m + 4*m. Let o(x) = -8*x**2. What is z(o(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80884.41g to milligrams.\nAnswer: 80884410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -2, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -51. Let d be -2 + (-3)\/3 + (7 - n). Let i(k) = 4*k. Let g be i(1). Sort d, -2, g in descending order.\nAnswer: g, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192645 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**5\/60 - h**4\/4 - 2*h**3\/3 + 55*h**2. Calculate g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 39*t + 2. Suppose -5*i - 5*f = -i - 57, 2 = 2*f. Let h be s(i). Solve 10 = -3*d - h*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 7\/52, -1.5, 98.\nAnswer: -4, -1.5, -0.1, 7\/52, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 4 (c) 4\/19 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 1 = 11. Find the common denominator of n + 216\/15 + 1 and -45\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1142*w - 4. Let h(d) = -1711*d - 6. What is 5*h(v) - 8*j(v)?\nAnswer: 581*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 825275 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = q + 3*q - 12, -5*q - 132 = 3*g - 136 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4580 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: Let u(l) = -l**3 + 99*l**2 - 1110*l - 685. Let m be u(86). Factor -34\/3*a**4 - 128\/3*a**2 + 0*a - 160\/3*a**m + 0 - 2\/3*a**5.\nAnswer: -2*a**2*(a + 1)*(a + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 10 + 9 - 3*t + (2 + 0 - 1)*(-t + 4*t + 0*t))*(-3*t**2 + 3 - 3) in the form o*t**2 + i*t + n*t**3 + x and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -139. Suppose 0 = 21*h - 65 - b. Solve h = 7*k - 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16639 = -m, -3*g + m + 3601 = -13048. Is g a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.49224 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Let u(v) = -v**3 - 11*v**2 + 23*v + 24. Let b(m) = -6*h(m) - u(m). What are the prime factors of b(-11)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0317 - -15.601.\nAnswer: 15.6327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 858677059 to the power of 1\/4, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 - 5.33. Let s = -3720.531 - -3715. Let d = s - m. Round d to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:46 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*m - 1. Let r(a) = -13*a**3 - 2*a**2 - 4*a - 11. Let y(l) = 77327*l + 7*l**3 + 6 + 77387*l - 154712*l + l**2. Give m*r(w) - 11*y(w).\nAnswer: w**3 + w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*v**6 - 8*v**2?\nAnswer: 1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 54038*f + 234 = -54039*f, 318 = -0*b + 7*b + f for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = q. What is the derivative of -2*u**2 - 9 + u**q + 2*u**2 + 10 wrt u?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 s when two letters picked without replacement from eeeyeeseeseye.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j - 3*j - j)*(2*j + 0*j + j) + 84 - 84 + 10*j**2 + j**2 - 2*j**2 - 2*j**2 to the form w*j**2 + x + h*j and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(5 - 5). What is the second smallest value in -1\/2, k, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37\/5 in -2, 0, 3, 2\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 + 7*f - 7. Let i(l) = 5*l**2 + 2*l**2 + 4*l**2 + 4*l - 4 - 6*l**2. Let m(r) = -7*i(r) + 4*y(r). Let z(u) = -3*u**2. Give m(z(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + 2*r + 3*r)*(210*r**4 - 860*r**2 + 860*r**2).\nAnswer: -210*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (6 + 1) - -3 - -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.09, 2\/11, -0.5, 3\/7, 1.5 in increasing order.\nAnswer: -4.09, -0.5, 2\/11, 3\/7, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 10. Let c be (-66)\/14 + k\/(-28). Let z = c + 5. Are -4\/9 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.3. Let u = 6 - 5. Let x = 8 - 4. Which is the nearest to u? (a) x (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11302354 (base 9) to base 12\nAnswer: -1a0abb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3281692 millilitres to litres.\nAnswer: 0.0003281692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 2*n - 4. Let m(z) = -z**2 + z + 1. Give c(v) + 6*m(v).\nAnswer: -v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, x: 5}. What is prob of picking 2 m and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/80 - (-6)\/(-10)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 36. Calculate h(-23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (-158 + 37 - -75)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/15 (b) -8 (c) 20\/9 (d) 9 (e) 2\/7 (f) 3 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 186*d. Let p(x) = -4*x**2 - 2201*x. Calculate p(c(f)).\nAnswer: -138384*f**2 - 409386*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 a factor of 864140438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46505 (base 10) to base 15.\nAnswer: -dba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s + 5. Let y(j) = -4*j**2. Let p be y(1). Let f be u(p). Suppose w = -2*w + f. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315279?\nAnswer: 3, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5598 = -27*r - 6228. Let f = r + 815. What is f rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/17 - 392*t\/17 - 49984\/17.\nAnswer: 2*(t - 284)*(t + 88)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (323\/(-304)*8)\/(((-2)\/8)\/(23\/46))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - k - 4, 32 = -4*h - 6*k + 10*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - j - j - 147 = -4*j - 75, -3*q = -10*j + 425 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 2*v**3 + v**3)*(3*v - 5*v + 6*v)*(24*v + 31*v - 92*v).\nAnswer: -148*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(-4 + sqrt(448)) + -4 + 2 + sqrt(448) + sqrt(448) + sqrt(448).\nAnswer: -21 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 0 + sqrt(425) - (-3 + sqrt(2057)).\nAnswer: -5*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12383947, 24767914, 37151895, 49535896, 61919923, 74303982, 86688079, 99072220?\n\"Answer: n**3 + n**2 + 12383957*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 0*q - 2 + 0*q)*(74 - 23*q - 74).\nAnswer: -46*q**2 + 46*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33396 divided by -11132.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*y + 63*y = -21. Let r(d) = 20*d - 138. Let t be r(y). Put 4, -5, -3, t in decreasing order.\nAnswer: 4, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 12:16 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440) - (sqrt(440) - sqrt(440)*-1))\/sqrt(8))\/((sqrt(22)*1)\/sqrt(2)) + 2.\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2 - 2 + 4*i + 4*i**2 - 4. Let a = 104 - 108. What is the tens digit of d(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.13 - -70.23. Which is the nearest to -1? (a) -5\/6 (b) -6\/19 (c) u (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, d: 5}. Give prob of sequence dudu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.199 - -2.199. Is m at least as big as -0.046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89446550 to the power of 1\/2, to the nearest integer?\nAnswer: 9458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74643, 149287, 223931, 298575?\nAnswer: 373219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 18. Suppose -5*f + 4 = -2*x, 2 = 2*x + 7*f - 9*f. Let l be d(x). Solve l*c - 5*q + 6 = 3*c, 0 = -4*c - 4*q + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*4\/600*10)\/((-1)\/14).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 3, i: 3, j: 1, q: 1, k: 2}. What is prob of sequence kv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2305021 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 12. Suppose -4*j = -j - f. Solve -7 = -2*k - 4*q + q, j*k - 9 = -q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let c be l(6). Let i = 0 + 2. Suppose -1 = g - 2*a, -4*g + i*a + 2 + 6 = 0. Solve g*s + c*h = -3*h - 14, -3*s + 22 = -4*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h + 7*h - 23*h)*(-1 + 4 - 2)*(-66 + 21 - 148)*(h**2 - h**2 + h**2).\nAnswer: 965*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1 = 0, l - 1 = 27*k - 26*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**2 - q - 5. Suppose -8 + 24 = i. Suppose 0 = 4*s - 3*b - 2*b + i, 4*b = 16. Let k(c) = 6 - 1 - 2 + s + 6*c**2 + c. Give 6*k(y) + 5*o(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 2*u - 2*u)*(1 - 6 + 1)*(u - 3*u + 12*u) in the form f*u + m + r*u**2 and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -31, -40, -51, -64, -79, -96?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**3 - 871195*k**2 + 91420350*k = 0.\nAnswer: 0, 105, 174134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 6*s**3 + 2*s**3)*(-4*s + 6*s - s + (0 + 0 - 1)*(1 - 1 + 2*s) + 2 - 2*s - 2 - 3*s + 3*s + 2*s).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4098, -4101, -4106, -4113?\nAnswer: -4122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225173320 divided by 3.\nAnswer: 225173320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6435190 and 10938?\nAnswer: 19305570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2522)\/679)\/(1*12\/21)*(-4)\/7\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 14 = -x + 5*f, 4*f = 8. Suppose x = 3*m - 2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218643 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 799?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*i + 12*i - 7*i - 4*i - 6*i - 4603 + 2*i**3 + 95*i**2 wrt i?\nAnswer: 6*i**2 + 190*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 1791*f + 10*f**2 + 48 - 6*f**2 + 1791*f.\nAnswer: f**2 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**3 - 2*v**2 + v + 2. Let h be x(2). Suppose 2*i - 4*s - h = 0, -s = 5*i - 5*s - 32. Solve -4*r = i*u + 12, -4*r + 4*u = 2*u + 24 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 339 and -2695483.\nAnswer: -2695144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2564, 4581, 6616, 8681, 10788?\nAnswer: 12949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23007*b - 23010*b - 5*d = 110, -4*b - 4*d = 96 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 23*b**6\/24 + 151*b**4\/24 + b**2 - 13*b. Find the second derivative of l(u) wrt u.\nAnswer: 690*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 minus 230.13?\nAnswer: -262.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i + 670. Suppose 2*p - k = 16, 3*k - 8 = -2. Calculate the lowest common multiple of p and x(-51).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33657 and 4842.\nAnswer: -162967194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -8\/5*h - 4\/5*h**2 + 4\/5*h**3 + 8\/5 + 1\/10*h**4 - 1\/10*h**5 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 41878033\nAnswer: -41878037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-320)\/(-12))\/((-18)\/(-1053)). Calculate the greatest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 6 - (3 - -3)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8318 + -0.1682. What is the smallest value in l, -0.3, 98?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l - 2*l + 0*l - 2*l**2 + 1. Let i be y(-2). Solve 0 = -0*x + i*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2. Let p = 10 + -8. Let j(c) = 4*c**p + 7 - 7. Calculate z(j(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/47 - -165\/188. Sort 0, c, -4.\nAnswer: -4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 12*w - w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1180762 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2107 and 23209732.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2848023057 - 2848022829.9999821. Let i = 227 - g. Round i to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178.2306 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:22 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2773660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 1296 = 4*i. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944057 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7682 is divided by 183.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 89 + (-14 - (6 - 25) - (6 + -8 - -5))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4093 is divided by 205?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/12 + 25*i**4\/8 - 85*i**3\/3 - 196*i**2. Factor k(f).\nAnswer: 5*(f - 2)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -12533.\nAnswer: -5\/12533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 943.854ml?\nAnswer: 0.943854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-31 - -15 - -33).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/10 (b) -3 (c) -337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 9*w**8\/448 - 181*w**7\/35 + 767*w**6\/96 + 401*w**5\/120 - 10*w**4\/3 + w**2 + 7*w + 4. Solve v(q) = 0 for q.\nAnswer: -1\/3, 0, 2\/9, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2*u**5\/5 - 3*u**2 - 4. Find the second derivative of n(l) wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16287, 17, -1\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**5 + 987*h**4 - 80685*h**3 - 81675*h**2.\nAnswer: -3*h**2*(h - 165)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/540*806406\/411. Let b = 2\/3699 + p. Find the common denominator of ((-9)\/84)\/((-90)\/35)*130 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2. Let g be j(-2). Let n be g\/3 + (-52)\/(-12). Suppose -n = -3*t + 4. Solve 5*i - 2*y = 21, -i - t*i + 30 = 5*y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1053)*3 - -6*(-1 + sqrt(1053))**2) + -1.\nAnswer: -216*sqrt(13) + 6323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19510 - -17476?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -12 - -4 - (7 - 19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 18. Suppose -2*j + 2 = -a*q, -2*q + 0 = 5*j - 33. Suppose 3*o = -2*f + 18, 0 = -f - o + 7 + 1. What is the remainder when f is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -213, -16, -1 in decreasing order.\nAnswer: 5, 0, -1, -16, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10030 + -1302?\nAnswer: -11332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c. Suppose c = 3*o - 6 + 3. Let t(w) = 45*w**2 - 4*w + 3. Does 11 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*u + 2*h, 2*u - 8*h + 22 - 36 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -5*g**4\/4 - 10*g**3 - 55*g**2\/2 - 30*g + 46. Factor w(l).\nAnswer: -5*(l + 1)*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -9255?\nAnswer: -924e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.127 - -0.127. Let w = 5302.3 - 5302. What is the closest to 0.1 in -2\/5, q, w, 27?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -3.07. Let u = -3 - -7. Let f be 5\/(-12) - (-1)\/(-4). Put h, f, u in descending order.\nAnswer: u, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 0*i**2 + 4*i**2 + (-i - 3 + 3)*(2*i + 2*i - 6*i) - i**2 - 1 + 1 - 10*i**2 + 20*i**2 + 27*i**2 to the form g*i + z*i**2 + x and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -5 (c) -2\/9 (d) 42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -68216 divided by 213\nAnswer: -68216\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8459561, -8459565, -8459571, -8459579, -8459589, -8459601, -8459615?\n\"Answer: -z**2 - z - 8459559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + v + 1. Let b be l(5). Let f = -15 - b. Suppose -f*m + 5*t = -28, -3*t - 4 = -4*m - 4*t. Solve 0 = -3*h + m*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10553\/60 + -524\/3. What is the common denominator of m and 1\/2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -4\/5, 0.5, -14, 1, 0.16, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 7*z**2 + 5*z - 14. Give f(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -192 - 152*364\/(-494)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h + 2*n = 108, -4*h - 3*n = -108. Find the third derivative of 22*q**3 + h*q**3 - 14*q - 4*q**2 - 3*q**2 + 4*q**2 wrt q.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d300e (base 16) to base 10\nAnswer: 7155726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 3:19 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (80\/25)\/((-8)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 190\/(-5)*((-105)\/(-6))\/(-5). Let a = s - 130. Solve -a*h - 2*n + 4 = 0, h + 1 + 1 = -4*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, o: 9, i: 1, s: 3, n: 3}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -2, -0.1, 3, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/44*(2\/(24\/(-3)) + 3355\/(-6100))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 24*f - 9*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 141*k**2 - 975*k + 1113.\nAnswer: 3*(k - 53)*(k - 1)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 10*q + 12. Sort q, -5, -2, 5 in decreasing order.\nAnswer: 5, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5819176 + 12221326. Is (-2)\/14 - i\/(-287) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6713*n + 21719468 - 21719468 to c*n + b and give c.\nAnswer: 6713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 72\/7 (b) 2\/81 (c) 2 (d) -1.5 (e) -1\/2 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2376102208?\nAnswer: 2, 37126597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Suppose b + g - 13 = 0. Solve -j = j - a - 3, -3*a = -2*j + b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbff when four letters picked without replacement from {f: 6, b: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241040110 (base 5) to base 3.\nAnswer: 2002111020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200290, -400582, -600874, -801166, -1001458?\nAnswer: -1201750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24\/2195 (b) -3.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.248 * 0.09.\nAnswer: 0.11232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000070589 rounded to 7 dps?\nAnswer: 0.0000706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/13, 0.02, -0.07, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4597.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.07, -85, -17074\/7, 0.1?\nAnswer: -17074\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -355, -328, -299, -268, -235?\n\"Answer: x**2 + 24*x - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 94 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**5 - 40556*h**4 - 1956316*h**3 + 4196444*h**2 + 6112200*h = 0. What is h?\nAnswer: -50, -1, 0, 3, 10187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 17. Suppose -859 + 5806 = -291*a. What is k(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1391*f**2. Let g(s) = 91*s. Give g(r(u)).\nAnswer: 126581*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 103*r**3 + 3*r**2 - 5*r - 2. Let c be w(-3). Let y = -564717\/206 - c. What is the common denominator of y and ((-460)\/(-32) + -3)\/(9\/(-12))?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -625296.\nAnswer: 1\/208432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/27 - (-6)\/27. Suppose -4*a + 16 = -3*u, 2*u + 10 = t*a + u. Solve a*z - 3*z = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = r + 13, -3*r + 2*z - 1 = 5. Let n = 4 - r. Factor 3*t**5 + 3*t**3 + n*t**4 - 9*t**2 + 8*t**4 + 0*t**5 - 7*t**4 - 6*t.\nAnswer: 3*t*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -5. Let y(n) = n**2 - 2*n + 4. Calculate the remainder when y(4) is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10040 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11295*k - 11286*k - 90 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a - 1 + 42*a - 75*a.\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 232640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 0 + 5*n**2 - n + 4*n + n**3 + 2. Let m be o(-5). Sort 5, 3, m in decreasing order.\nAnswer: 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - -5)\/(42\/4). Suppose -14*h + 5 = -y - 12*h, -10 = 2*y + 4*h. Which is the closest to w? (a) y (b) 2\/11 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*z - 12 = 0, t + 1 - 4 = 4*z. Suppose 115*q - 1082 + 1063 = 2741. What is the highest common factor of q and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12145 = 108*z + 11821 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -39. Suppose s = 6 + j. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3\/7 + 69428*f**2\/7 - 7477158*f = 0?\nAnswer: 0, 771, 33943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - n = -2*f - 2726, n + 8182 = 3*f. List the prime factors of f.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 35 = 11*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1. Let p(h) = h**2 + 1. Let g be p(i). Differentiate -g*b**3 + 18 - 12 - 12 + 7*b**3 wrt b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 + 154*m**2 - 640*m + 648 = 0. What is m?\nAnswer: -81, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence appz when four letters picked without replacement from {q: 1, p: 2, a: 1, z: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -1819*c**4\/2 + 7051*c**3\/3 - 6131. What is the third derivative of m(a) wrt a?\nAnswer: -21828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, k: 7}. What is prob of picking 3 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**3\/6 - 2*n**2 - 15*n. Calculate c(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58913580 is divided by 131.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10234222 divided by 2\nAnswer: 5117111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*j + 47 - 11, 32 = 3*j - 2*o. Let x = 7 + -4. Suppose 0 = -x*b + 41 - j. What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**5\/5 - 50172*p**4 + 1398427431*p**3 - 12991390744794*p**2 - 25986976972572*p - 64970938750872\/5 = 0.\nAnswer: -1, 27874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -570.9 - -570.9. Let t be -2*(-1)\/(-4) - 1. Which is the closest to t? (a) 3 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 294685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c52 (base 13) in base 16?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.64 - -13.84. What is the closest to -44 in -2\/3, b, -0.02?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.43 + 22.57. Let z = g - 22.6. What is the biggest value in -2, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 5)\/((-324)\/216)*(-5)\/(-35).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -236769000 to the nearest 1000000.\nAnswer: -237000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*z - 94 = 0, 3*k - 6 = 3*z + 36. Suppose 2*m + 7 = -3*v - 10, m - 9 = 2*v. Let a = v + k. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 4. List the prime factors of y(-11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 4*g**2 + g**2 + (-3 + 3 + g)*(-g - 4*g + 4*g) - 28*g**2 - 7*g**2 + 22*g**2 + 1 - 1 + 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from susau. Give prob of picking 1 u and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:48 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12)*(-369)\/(-82).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71874\/74913005 + -515146389261438171\/11536602770. Let r = q + 44652966. Let b = r + 1709\/7. What is the common denominator of b and -43\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -20. Let t be 2 - r - (-27)\/(-33). What is the nearest to t in 1, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6889 rounded to one dp?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 122, 103, 68, 11, -74?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = -8*l. Let t = 9 + l. What is the lowest common multiple of 2 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y**3 + 12 - 1238*y**2 - 61*y**3 + 30*y**3.\nAnswer: -2*y**3 - 1238*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {v: 9, r: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2129245 and 851698?\nAnswer: 4258490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c - 2. Let w(i) be the first derivative of -75*i**2 - 21*i - 4. Let f(p) = -21*g(p) + 2*w(p). Let s(q) = q**2. Determine f(s(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dell. What is prob of sequence de?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628 = -2*l - 3*b, -3*l + 7*l + b = -1246. Let c = l + 313. Solve -3*i + 4*m - 4 = -11, -3*m = 5*i - c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 97.9, 5, 0.194, -5, 0.4 in decreasing order.\nAnswer: 97.9, 5, 0.4, 0.194, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.66944489 rounded to 0 dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -287*n + 290*n - 18, 4*p = 4*n - n + 36 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/(g*((g*g**(-4)*g)\/g)\/g)*g**(2\/7)*g*((((g*g\/g**(2\/13))\/g)\/g)\/g)\/g)\/(((g*g**4\/g*g)\/g)**(-2\/35))**(-50) assuming g is positive.\nAnswer: g**(-1028\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 43401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88347044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -27*l**2 + 112*l - 1. Let z(q) = -21*q**2. Calculate k(z(t)).\nAnswer: -11907*t**4 - 2352*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45307 (base 10) to base 11.\nAnswer: 31049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + 2*d + 1. What is the remainder when 16 is divided by y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -5, -4, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(180) + (sqrt(180) + sqrt(180)*-1 - sqrt(180)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43*58 - (-26 + 34 + -21)?\nAnswer: 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48657338 times -3\nAnswer: -1.45972014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -60*z + 597. Calculate f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-52)\/(-117)*1504 + 20\/(-45). What is the greatest common factor of 24 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -3 (b) -0.4 (c) -5 (d) 2\/3761\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**3 + 1093*y**2 - 435*y + 750. Calculate s(-219).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128 and 217?\nAnswer: -27776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -752?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 - (-21)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -52, -118, -206, -328, -496?\n\"Answer: -2*a**3 + a**2 - 55*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -120 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3497414 plus 27015952?\nAnswer: 23518538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 882 by 3.\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 3, 4, -1.\nAnswer: -5, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 27*o**2 - 18*o + 215. Let a be g(-26). Let f(u) be the first derivative of 4*u**3 - 4*u**2 + a + 1\/5*u**5 - 3\/2*u**4 + 0*u. Factor f(c).\nAnswer: c*(c - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4296.008558 + 4296. What is r rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/3)*s**(-3\/10) assuming s is positive.\nAnswer: s**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4190604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3617*y = -3619*y + 3*j + 1, -y + 2*j = -2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59339699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2\/2 - 156. Let p(u) = 83*u**2. Determine p(c(i)).\nAnswer: 83*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.99697 - -0.00303. What is the nearest to -4\/3 in f, 2238, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, 63, 92, 119, 144, 167, 188?\n\"Answer: -p**2 + 34*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 39*v + 228. Let f be k(-44). Let u be (-4 - -1)\/(-9 + f) + 12. Solve 7*n + 1 - u = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1389, 1269, 1045, 711, 261, -311, -1011, -1845?\nAnswer: -2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/245)\/(((-4)\/130)\/(1\/((-30)\/14))).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 3. Let a = 178 - 174. Let v = -3 + 6. What is the closest to 2\/5 in a, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72251 to the power of 1\/2, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2024000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*((4 + sqrt(363) + 0 - sqrt(363) - sqrt(363)) + sqrt(363)*-2*2 - (-4 + -5 + sqrt(363)*-2 + sqrt(363)))*1)**2.\nAnswer: -1482624*sqrt(3) + 7746192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49.495 - 0.605. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 2. Let i(f) = 4*f**2 - f**2 - 5*f**s. Let b(z) = -4*z - 6. Let j(x) = 5*x + 7. Let a(y) = -7*b(y) - 6*j(y). Give a(i(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324\/(-270)*50\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -38*y**3 - 8*y**2 + 17*y + 17. Let k(i) = -13*i**3 - 3*i**2 + 6*i + 6. Give -6*g(f) + 17*k(f).\nAnswer: 7*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -2\/9, -139, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1631*p - 5849*p**3 - 845488 + 5113*p + 845488 wrt p?\nAnswer: -35094*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5113500 (base 6) to base 4\nAnswer: -323113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - f**3 - 2*f**3)*(0*f**2 + f**2 + 0*f**2 + (-5*f + 4*f + 4*f)*(2*f - 2*f + f)).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -8 - (-1320)\/140?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from ttttttttstttcc.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412 - 32240?\nAnswer: -34202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -4026313\nAnswer: -60394695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4 + 6. Let o(u) = -u**2 - 3*u - 22. Let z be o(-6). Is (-1744)\/z + p\/5 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 19) + 20\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven quarters of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 + 65. Let f be q + (-1 - (-1 + 0)). Let y = 83 + f. Calculate the highest common divisor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -1)\/(0 + 5 + -6). Let k be (0 - 40)\/z + -4. Put 5, k, -1\/10, -2 in increasing order.\nAnswer: -2, -1\/10, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let j(n) = -1774*n**2. Determine j(d(p)).\nAnswer: -7096*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l**2. Let r = 37 - 35. Suppose -4*y + r*c - 6 = -3*y, -3*y + c + 7 = 0. Let g(i) = 2*i + 0*i - y*i + i. Give v(g(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 divided by 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 + 10*y - 2. Let u(g) = -6*g**2 + 11*g - 2. Let o(f) = 5*l(f) - 4*u(f). Let p be (8\/(16\/26) - 2) + -7. What is o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150246 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 12. Let o(f) = 3*f + 6. Suppose -k - w = -2*k - 3, 0 = 3*k + 4*w + 16. Let b(m) = k*v(m) - 7*o(m). Determine b(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 40 + 12 = 2*j, 0 = 4*j - 5*g - 126. Sort 3, j, -2, 0 in decreasing order.\nAnswer: j, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**3\/3 - 7*g**2\/2 - 8*g - 1. Let t be d(-6). Calculate the remainder when (42\/(0 - 3))\/t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 8. Let f be i(10). Suppose 4*u + f = 0, 5*c - 93 - 75 = -4*u. Calculate the highest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -77?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 5*z + 3. Let u be j(4). Let k = -50 - -76. What is the greatest common divisor of u and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 times -13463?\nAnswer: 6502629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2916*m**5 + 11448*m**4 - 10804*m**3 - 848*m**2 - 16*m.\nAnswer: -4*m*(m - 2)**2*(27*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/4)*w)\/(w**(1\/4)\/w))\/(w**(-1\/2)*(w*w*((w\/w**(-1\/3))\/w)\/w*w)\/w))**(3\/14))**(-24\/11) assuming w is positive.\nAnswer: w**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 984 and 106026?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/18*693\/1617?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.435 and 0.557.\nAnswer: -0.242295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -13 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 197518.203ns in days?\nAnswer: 0.0000000022860903125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -322, 7, 83, 2 in increasing order.\nAnswer: -322, -0.1, 2, 7, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -31, -28\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/5 + 103244*m**3\/5 + 3552763632*m**2\/5 + 40735980920912*m\/5 - 81543037765264.\nAnswer: (m - 10)*(m + 34418)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 12*z**2 + 2860*z + 34323. What is f(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(10\/(-15)*-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsrs when four letters picked without replacement from {s: 9, b: 1, r: 6, p: 1}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12766.\nAnswer: 2, 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.062929 + 4.\nAnswer: 4.062929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/53506?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70246?\nAnswer: 2, 11, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**10\/166320 - z**8\/36960 + z**4\/24 + 2*z**2. Let a(h) be the second derivative of l(h). Factor a(k).\nAnswer: 2*k**3*(k - 1)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {u: 16, n: 4}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*v + 14 = 0, -8*p - 3*v = 60 + 30 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 12580, -85 in decreasing order.\nAnswer: 12580, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 + 20*q**2 + 2*q + 7. Let z(b) = -6*b**2 - 150*b - 761. Let l be z(-7). Give s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103415341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124473, -124907, -125341, -125775, -126209?\nAnswer: -126643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.26 + -4.314. What is the nearest to a in -0.2, -2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 - 4*y**2 - 2*y + 7. List the prime factors of u(3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/(-36) + 63976\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4085, 4081, 4075, 4067, 4057, 4045?\nAnswer: 4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 256\/18 - 4\/18. What is the greatest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7447.1 + -7447. Which is the closest to l? (a) -30 (b) -7 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 26.6292?\nAnswer: -29.6292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (5 - -15) - (-2 - -14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*o - 355, 3*o + 4*k + 0*k = 325. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629739?\nAnswer: 17, 37, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*u + 42 = -u, -4*u = 4*d - 84. Suppose d = 2*x + 11. Put -3, x, -6, 4 in decreasing order.\nAnswer: x, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-82722)\/(-442) + 2\/13*-1. Suppose 146 = k*z - 186*z. List the prime factors of z.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -3, 1, -88.\nAnswer: -88, -3, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 56 in decreasing order.\nAnswer: 56, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - -27. Let j = r - 33. Let w = j - 13. Solve 20 = -5*m + w*q, 2*q + 8 = -5*m + 3*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18201, 36390, 54579?\n\"Answer: 18189*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/3*t**2 - 16\/3*t**3 + 2\/3*t + 3*t**4 + 0 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -129\/2. Which is the closest to 3\/10? (a) 0.3 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.61 + 0.39. Let t = -57.074 - -0.074. Let h = t + 57.2. What is the third smallest value in b, 5, h, -2\/23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 13*s**2 - 9*s + 39. Let q be y(-12). Sort -2\/7, q, 1 in ascending order.\nAnswer: -2\/7, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.17 in 5, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3433 + -3423 - (-1 + (38 - -1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = 586*g - 26137 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - j**4 + 0*j**4 + (0*j**2 + 3*j**2 - 2*j**2)*(j**2 - 2*j**2 + 4*j**2) - j**2 + 4*j**4 + j**2.\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2115, -4230, -6345, -8460, -10575?\n\"Answer: -2115*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5173 - 5172.91. Let q = -77 - -692\/9. Sort 0.3, j, q in descending order.\nAnswer: 0.3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3347 = -3*y, 18 - 685 = c + 3*y. Suppose 44*g - 55*g + 26400 = 0. Let h = g + c. Round h to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Let g be a(-2). Let r be (-2)\/((-2)\/(-1)) - g. Let x(t) = -t. Let d(o) = o. Give r*d(v) - 4*x(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rttm. What is prob of sequence ttm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/124 - 281\/10044. Is 1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16082\/32205 - 48\/95. Let r = v - -3055\/678. Which is smaller: 5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 318 - 255. What is the greatest common factor of 42 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 7. Let a = 22 - 20. Suppose 2*r = -4*w - 8, -4*r - a*w = w - 9. Determine v(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 divided by -39508?\nAnswer: -80\/9877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 2*y - 32, -3*w = -5*y - 35. Solve -5*h - 4*o = o - w, -3*o + 6 = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 10*g**2 - 10*g + 7. Let r = -16 - -16. Let y be 7 - 5\/(-10)*r. Is q(y) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -408893, -1637316, -3684695, -6551036, -10236345, -14740628, -20063891, -26206140?\nAnswer: -33167381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 5*p**2 - 3*p - 3. Calculate x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18678 and 11970.\nAnswer: 37262610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*x - 3*x. Let y = x - 2. What is the units digit of ((-6)\/(-5))\/((-4)\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 minus 5351744?\nAnswer: -5352027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 5*a - 5*v, -a - 3*v + 7*v + 5 = 0. Suppose z + 0*z + 3*n = -15, 5*z - 5*n - a = 0. Factor 0*b + z + 1\/2*b**2 + 1\/2*b**3.\nAnswer: b**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - n + 4. Suppose 0 = i - 3*y + 14, -5*i - y + 0*y = 6. Let s be 20\/(-90) + i\/(-9). Determine r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) - -2*sqrt(196)) + sqrt(196) + sqrt(196) - sqrt(196) - sqrt(196))\/(sqrt(6)\/(1*sqrt(3))) + (-1 + 0 + sqrt(2048))**2 + -2.\nAnswer: -43*sqrt(2) + 2047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**2 + 5*i**2 - 3*i**2 + (0*i - i + 2*i)*(2*i - 4*i + 0*i) + i**2 - 2*i**2 + 2*i**2 + 282*i**2 + 141*i**2 - 20*i**2.\nAnswer: 410*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.00482\nAnswer: 0.000964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.2 + 6.2. Which is the nearest to -2? (a) z (b) 2\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.26767605352 and 0.4.\nAnswer: 0.13232394648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1c4d5b (base 14) to base 13\nAnswer: -295a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-42)*1\/(-46*3\/18)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 680, 675, 670, 665?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 11*l**2 + 9*l + 6. Let s be r(-6). Suppose 1853 + 1447 = 12*t - 660. What is the highest common divisor of t and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -8 + 8 + 21*m. What is the tens digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 360*j**2 - 1417*j - 2253. Give g(356).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 497353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n - 594 = 0. Let t = -13 - 24. Let h = t + n. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15344.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 8*t + 13. Suppose 0 = -4*i - 890 - 58. Let k = 228 + i. What is p(k)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + p + 200 = 0, 2*r - 16 = -p + 64. Let f(l) = -l**2 + 2*l - 2. Let g be f(3). Let j = g - -10. Calculate the highest common divisor of j and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0 - 5\/4*u**4 + 0*u**2 + 19\/6*u**3 - 4*u. What is the second derivative of l(m) wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682998417 or -682998418?\nAnswer: -682998418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.07 (b) 0 (c) 1\/5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2056, 8231, 18524, 32935, 51464, 74111, 100876?\n\"Answer: 2059*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = 2*l. Let j = 34 + l. Let z = 10 - 0. What is the highest common divisor of j and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (36\/32)\/(3\/19) and 8*(12\/33 + 0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 14\/(-8)*114\/(-399). Which is the closest to 0.1? (a) 2\/13 (b) f (c) -0.1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**2 - 1. Let a be ((-2)\/(12\/(-9)))\/(30\/640). Let z(o) = -58*o**2 + 27*o**2 + a*o**2. Give r(z(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 81.82469 nanometers?\nAnswer: 0.00000008182469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/7)\/((-69)\/322) + 7030\/(-444)?\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -51 - 49. What is f rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a - 1213 = -149. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1a4b (base 12) to base 3.\nAnswer: 101200212112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*i = -105*i - 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67056.44 litres?\nAnswer: 67056440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42662 and 15023.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 4*v + 3*v)*(-60*v + 122*v - 92*v) - v**2 + 2*v**2 + 4*v**2.\nAnswer: 65*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -7*d**6\/120 + d**5\/10 + 7*d**2. Find the third derivative of h(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 2105 = 2293 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5334\/14 - (2 + 0). Suppose -t = -2*n + 449. Calculate the greatest common factor of n and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168601 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.4 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69686 is divided by 410.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.3 - -24.4. Let d = 11.09802 - z. What is d rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -29. Is 6 not equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -248 (b) 1 (c) -2\/3 (d) 3531\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025142 to seven dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 917830342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64.5 - 55.5. Which is the nearest to w? (a) 1 (b) -4 (c) -3 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-44))\/(13\/(-741)) and 19\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(2 - 5\/2). Let r(u) = u**3 + u + 7. Let k be r(y). Suppose -10*n + k*n + 555 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 33*j + 33*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198682.\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 2 (c) 1\/4 (d) 3 (e) -0.04 (f) 424\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 892*s**3 - s**2 + 14*s - 13. Calculate the smallest common multiple of 18 and t(1).\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 95*y - 3083 = 1033 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -680, -1426, -2174, -2924, -3676?\nAnswer: -4430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-1 + 0 - 1)*(-2*x + 3*x - 3*x).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -6086, 289\/5 in increasing order.\nAnswer: -6086, -1.2, 289\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 489101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 96. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35 + 180802?\nAnswer: 180837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 6*l + 5. Let t be r(6). Suppose -s - 380 = -t*x, 3*s + 144 = 2*x + s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/2 + 25*y**4\/2 + 103*y**3\/2 - 557*y**2\/2 + 56*y + 374 = 0.\nAnswer: -17, -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p + 20. Calculate b(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.2 + -13. Let g = -8.3 + 8. Let m = 0.4 + g. Which is greater: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 574 - 572. Solve 3*l - 10 = 2, -4*l + 6 = -i*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -322456371 or -322456368?\nAnswer: -322456371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 - 41*v**3 + 18*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 5926200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 2*w**3 - 13*w**3 + (1 + 5 - 4)*(5*w**3 + 0*w**3 - 3*w**3) - 36*w**3 + 1510*w**2 - 1510*w**2.\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + v**2 + 2*v**2 + (4 - 3 + 1)*(4*v**2 + 54*v - 54*v))*(8*v + 56 - 56).\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 - 10224350?\nAnswer: -10224405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210968 and 210968.\nAnswer: 210968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 21*a**3 - 4*a**2 + 7*a - 8. Let t be n(5). Suppose 10*l + 632 = t. Let f(u) = 192 + u - l. Let k(b) = 30*b**2. Calculate f(k(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 259, 574, 1013, 1576, 2263, 3074?\nAnswer: 4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335169 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n - 65. What is the third derivative of q**2 - 7*q**6 - n*q**5 + 13*q**5 wrt q?\nAnswer: -840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i - 8. Let k(x) = 17*x - 6. Let c(q) = -56*q + 17. Let f(r) = 2*c(r) + 7*k(r). Calculate 5*f(s) - 4*u(s).\nAnswer: 3*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*t**6 + 19958*t**4 - 3*t**3 + 7244369*t**2 wrt t.\nAnswer: 2400*t**3 + 478992*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 4 = 32*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -922*o + 476*o + 185*o as y*o + l and give y.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 1. Let l be 6\/5*(-15)\/(-2). Let x(z) = -z**2 + 11*z - 10. Let r be x(l). Suppose 0 = -3*c + 7*c + r. What is y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:34 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + 3*n - 2*n)*(n + n - n) - 3*n - n**2 + 3*n + 19*n**2 - 36*n**2 + 14*n**2)*(-6*n + n + 4*n + (-1 - 1 + 3)*(-2*n + 6*n + 0*n)).\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000213 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*t - 294*t + 96*t + 97*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4854 - -4878. Solve -21*l + 25*l + n = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 92, -461, -1014, -1567, -2120?\n\"Answer: -553*x + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -452 in 0.1, -2\/13, -0.04?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 - -48. Let r = j - -80. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + a**3 - 13*a**3)*(100 - 100 + 6*a) + (-3*a**3 + 2*a**3 + 0*a**3)*(a - 3*a + 4*a).\nAnswer: -62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37386 and 4205322?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -21330211102301?\nAnswer: -21330211102312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33925*m**4 + 2*m**2 - 2*m - 28189?\nAnswer: -814200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 2. Suppose -4*t = -5*x + c, 0 = -x - x + 6. Solve 2*w + w - 9 = t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.593 + -31935.593. Let l = 31903.1999992 + x. Let u = -0.2 + l. What is u rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 409 = -5*p, -5*t - 4*p + 542 = 0. Let i = t + -102. Solve -x - 12 = -i*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1121120121?\nAnswer: 1121120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let m(h) = h**2 - 7*h - 5. Let y be m(9). Let x(b) = -2*b + 29. What is the remainder when x(y) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-795)\/(-165) + 1 + (-27)\/33. Let d be 11 + -9 - (4 + 1). Put a, d, -15 in ascending order.\nAnswer: -15, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11277567 and 432306735.\nAnswer: 1296920205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17971243.2 nanoseconds?\nAnswer: 0.0000002080005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 21. Let r(v) be the first derivative of 0*v**3 - 2 + 1\/4*v**j + 0*v + 1\/2*v**2. Find the second derivative of r(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0132936086 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 237*u = -239*u - 16, 4*u + 26 = 5*n. Factor 1\/2*j - j**n + 3\/4 - 1\/2*j**3 + 1\/4*j**4.\nAnswer: (j - 3)*(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, 4, 179858, -4 in decreasing order.\nAnswer: 179858, 199, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174848 is divided by 17484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48*c**4 - 7*c**3*m**2 + 29*c**2*m**2 + 2*c*m**2 - 3*m**2 wrt c.\nAnswer: 1152*c - 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let c = 67 + -55. Let z be ((-14)\/7)\/c*3. What is the biggest value in -1\/3, a, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -19. Suppose 4*p - 18 = -3*f, 4 = 3*f + p - y. Let b = -3 + f. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-9) + 1 + 290\/2. Let n = l + -150. Is n > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 653225\/(-20400) - (-25 + -7)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o**2 + 2. Let k(y) = -57*y**2 - 15. What is -4*k(f) - 30*l(f)?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eympx. Give prob of sequence xm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 20*b**2 + 157*b - 88. Calculate v(-26).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Suppose -3*i = -i - d. Suppose i*f = -f + 54. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7089*j**2. Let y(v) be the first derivative of v**3\/3 + 6358. What is y(n(x))?\nAnswer: 50253921*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2448\/(-270))\/34 + (-3)\/(-5). Let w = 0.3 + -0.32. Which is the fourth smallest value? (a) w (b) 0 (c) 1\/5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*t = -30, 8*l - 4*l = 2*t + 24. Let j be 488 + (4\/l - 4\/6). Suppose -760 = 6*v - 9*v + 4*p, 2*p = -2*v + j. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -164 + 444. Let y(w) = w**2 + 2*w - 1. Let u be y(-5). Calculate the highest common divisor of s and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 44*m**2 - 30*m - 1. Let w(b) = 46*b**2 - 27*b - 1. Give 8*i(z) - 9*w(z).\nAnswer: -62*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 167471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 8*j - 44 = 0, 0 = 4*x - 753*j + 749*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 8*l**3\/3 + 5*l**2\/2 + 4*l. Let t be 6\/21 - (-2)\/(-7). Let v(c) = c + t + 1 + 2*c. Determine 2*h(n) - 11*v(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -10. Suppose a*n - 9 = 31. What is the lowest common multiple of 16 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-20) + 6\/(-12). Suppose -4*m - m = 4*s + 19, 0 = -5*m + 3*s - 12. What is the nearest to -2 in p, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1170 by 5.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18677811.\nAnswer: 3, 223, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -7. Let w be 21\/3 + -2 + m. What are the prime factors of (56\/(-10))\/(w\/(-20))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2311504 smaller than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3707 and 86845?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 take away -25.44?\nAnswer: 42.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -10184\/12615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*m - 8. Let d(c) = -1 - 2 + 2. Let q(k) = -k - 7. Let g(r) = m*d(r) + q(r). Determine g(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12131424 - 10?\nAnswer: 12131414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 507 times -1\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t - 10, -2*f + 16 = 2*t. What is the least common multiple of -4 + 20 - 2 - 0 and (1\/f - 1)*-10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - v**4\/12 - v**3\/6 + 2*v**2 - 2*v. Calculate the remainder when 13 is divided by k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/270)\/(276\/184*6\/1125)\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 3*o**2 - 109.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.5, 0.4, 260.123, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 425647072 less than -6?\nAnswer: -425647078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 4*y + 3*y - 1254, -992 = -4*m - 2*y. Suppose -3*o - 37 = -m. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1735 - -1164. Let m = 886 + c. What is the highest common factor of 35 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 18. Let n(h) = -h**2 + 7*h - 6. Calculate the lowest common multiple of p and n(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/((-84)\/(-12))*54\/(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102242197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33321 - -37643. Calculate the remainder when l is divided by 255.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let b(u) = 14*u + 4. Let t(h) = -h. Let d(s) = -b(s) - 5*t(s). Let y(z) = -8*z - 5. Let o(r) = -5*d(r) + 4*y(r). Calculate i(o(q)).\nAnswer: 338*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*l - 81*l + 44*l)*(6 - 2 + 0)*(15 + 2 + 1).\nAnswer: -216*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*u = -182*u + 40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 7625627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -672, 5, -5, -26 in increasing order.\nAnswer: -672, -26, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*q - 254*q - 11*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5200) - (sqrt(5200) - sqrt(5200)*-2))*5)\/(sqrt(576) - sqrt(28)\/sqrt(112)).\nAnswer: -400*sqrt(13)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 37 = -59. Let w(a) = 1. Let g(j) = -j**2 + 6*j + 6. Let o(b) = -g(b) + 6*w(b). What is o(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20638 + -13)\/(21\/(-284144)). What is s rounded to the nearest one million?\nAnswer: -279000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*b + 146502 = 0, -673*b = 4*l - 668*b - 293001. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (14 - (-18 + (136 - -4)))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-9 - -14) - -2 - 13 - (107 + -2)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 817*p**2 + 48*p + 4611. Let i(r) = 3*r**2 - 8*r + 1. Let z(n) = 6*i(n) + t(n). Find the first derivative of z(s) wrt s.\nAnswer: 1670*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - d - 5*d)*(3152 + 140 - 855) to the form t + s*d and give s.\nAnswer: -4874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45124377 to the nearest integer?\nAnswer: 6717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 566950478 to the nearest integer?\nAnswer: 23811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -z + 28, -2*m - 27 = -2*z + 3*z. Let i(n) = -n + 1. Let y be i(m). Let u(v) = 0*v + 3 - y - v. Determine u(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (23\/(-5))\/(6\/(-21)). Let x = l + -27. Find the common denominator of ((-2)\/6)\/((-16)\/342) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019353 to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -3\/8, -6\/17, -14, 3\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3360 and 15167040?\nAnswer: 15167040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4594\/7 + 656. Which is the second biggest value? (a) -7.7 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**31*u\/(u\/u**(-12)*u)*u**(-21) assuming u is positive.\nAnswer: u**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 193*i + 29359. What is x(309)?\nAnswer: -6485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5692 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2303 + 2303 + 67*l - 25*l + 62*l.\nAnswer: 104*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -666*z + 5162 - 5162 to the form l*z + d and give l.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34060\/45*-3)\/((-2)\/(-15)). What is k rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((117\/24)\/13)\/((-2)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 951*h + 1079*h + 60882 = 4042 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 3*p - 11, 4*p - j = -0*j - 16. Let w(t) = 2*t**2 + 4*t + 4. Let b be w(-6). Let o be p\/(2 + (-110)\/b). Solve 11 = 3*y + o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) - (-22)\/8. Suppose -6*m + 18 + 6 = 0. Suppose o*f - c = m, -5*f - 5*c - 1 = -f. Is f < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - x = -4*x - 24, 5*x = -5*o - 10. Let q be o + 1 + 4 + -4. Let z be (q - 2) + (-2)\/(-1). Solve n + 1 + z = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*i - 17*i + 346 - 7258 = 0 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20902971 minus 0.06?\nAnswer: -0.26902971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1908 by -1908.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8388.4 + -8388. Which is smaller: 113 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19811346 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 != -2085.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u\/(u\/(u*u\/(u*u\/(u\/u**(-1\/8))))))\/(u**23\/u**10))**(1\/6) assuming u is positive.\nAnswer: u**(-37\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, j: 12}. Give prob of picking 2 j and 1 k.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - -90. Let y = p - 163.9. What is the second biggest value in -3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 44 = u. Let j(o) = -4*o - 17. Let k(c) = 2*c + 9. Let h(m) = u*k(m) - 6*j(m). List the prime factors of h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b - 2. Calculate the common denominator of b*(-23)\/(-12)*2 and 32\/(-60)*1*9.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -41 (c) -3 (d) 4 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9\/19, -1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43134)\/(-948))\/(65\/(-20))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4904 and 6036211.\nAnswer: 48289688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 4*v + 14. Let g be t(3). Solve -3*o - g = -8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63381*b + 3*b**2 - 31695*b - b**2 - 31704*b.\nAnswer: 2*b**2 - 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -86 + 17*q + 6*q - 9*q. Let t be m(9). Suppose -3*j + 8*j - 50 = 0. Calculate the highest common divisor of j and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 2*k + 3. Suppose 0 = 14*y - 321 + 83. Does 43 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6089.54718 rounded to 1 dp?\nAnswer: -6089.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 2*c**4 + 0*c**4)*(-3*c + 0*c + 5*c) - 2*c**5 - 2*c**4 - 2*c**3 + 3*c**4 + 0*c**5.\nAnswer: -4*c**5 + c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 278*a**3 - 10*a**2 - 308*a + 623. Determine l(2).\nAnswer: 2191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d\/(d\/(d**(-34)*d*d*d))))*d)*d*d**(-29)\/d)\/((((d*d**43\/d*d)\/d)\/d)\/(((d**(-10)*d*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 1\/2*j**2 - 1 - 2*j + 1475\/3*j**3. Let d be y(2). Round d to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/3 + 103*s**2\/9 + 860*s\/9.\nAnswer: s*(s + 20)*(3*s + 43)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + sqrt(3))*4 + -2 + sqrt(12)\/(sqrt(36)\/(sqrt(27)\/sqrt(3))).\nAnswer: -6 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 10:45 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8775 a factor of 1850042025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 + 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2300 (base 5) to base 8\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*m = -21, -3*m - 1 = 2*q + 2. Suppose -269994 = -2*u + q*y - 6*y, 5*u - 2*y = 675004. Round u to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88, -92, -98, -106?\n\"Answer: -o**2 - o - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*g + 4*k, -2*g + 3*k - k = 2. Suppose -3 = -g*n - n. Suppose 2*z + 0*z - 5*u - 31 = 0, n*z - 33 = 3*u. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = 4*w. Let p = 1 + w. Let s(j) = -j**3 + 7*j**2 + 8*j + 4. Calculate the least common multiple of s(8) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*i**4 - 714*i**2 + 714*i**2)*(2*i + 2*i + 0*i + (5 - 5 - 2*i)*(-1 + 1 + 1) + i + 6*i - 4*i - 3*i + 0*i + 6*i).\nAnswer: 136*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-6))\/((-24)\/36). Let i = 469 - 214. Suppose 0 = y*b - 0*b - i. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 10:16 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3421 + -333?\nAnswer: -4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 234*a**5 - 299*a**2 + 396*a**5 + 2908*a**5 wrt a?\nAnswer: 212280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:54 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 4*q + 0*q - 272.\nAnswer: q - 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2 + 2 + 1. Let g(b) = 6300 - 12598 + 6292 - 2*b. Give g(r) + 6*u(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - -1?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -35*x**4 + 2460*x**3 + 17955*x**2 + 10840*x - 4620 = 0.\nAnswer: -6, -1, 2\/7, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 21 - 5)*(0 + 0 + t)*(2*t + 0*t - 4*t).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 8*g - 3*g + 20*g + 5 - 5*g. Let i be 1\/(-2) - 1\/2. Let m(p) = 1. Let c(x) = i*j(x) + 6*m(x). What is c(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**3)\/h))**6\/((h*h*(h**(1\/3)*h)\/h)\/h**(8\/7)) assuming h is positive.\nAnswer: h**(479\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 2 (b) -1\/4 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h - h)*(-3*h + 3*h + h)*(-5 + 3 - 7)*(3 - 5 + 3).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 6*j = -3*o + 13, j = -2*o + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 times -4\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/2 (b) -0.3 (c) 7.07 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 2*b**2 + 0*b**2)*(-2 + 5 - 1 + 3*b**3).\nAnswer: -3*b**5 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-16) - 6\/(-12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215.81 + 1.81. Let n = m - -213.9698. What is n rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -3*n - 2\/3*n**3 - 3 + 1\/2*n**2. Let f(a) be the first derivative of h(a). Differentiate f(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -39 + 9. Let o(q) = -12*q + 15 - 8 - x. What is the units digit of o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(208)*-2)\/(-5*sqrt(16)\/sqrt(2)))\/(((sqrt(72)*-2 - sqrt(72))\/sqrt(3))\/(sqrt(12) + sqrt(108)\/sqrt(81))).\nAnswer: -16*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5115 and 6045.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from yyibiyiy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) - 1\/(-2). Solve 2*r = 6, -2*r + 3*r = 5*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 183\/305 - (-3304)\/10. Suppose 0 = 5*n + 4*d - 1679, -3*d + 7*d = n - w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*390995\nAnswer: 195497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 57279.7179 to the nearest 10.\nAnswer: 57280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + -19)*(-16)\/(-6)*(-36)\/(-72).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -517 + 869. Suppose -6*a + c = -2018. List the prime factors of a.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 12*g**3 + 5*g**2. Let x(j) = 11*j**3 + 4*j**2 - j. Suppose -903*y - 180 = -858*y. What is y*o(b) + 5*x(b)?\nAnswer: 7*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 + 2*n**2 + 12*n. Let h(c) = 1. Let w be -1 + ((-4)\/(-2))\/(-2). Calculate w*s(j) + 6*h(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1671, 3464, 5393, 7458?\n\"Answer: 68*j**2 + 1589*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n. Let x(h) = 19*h. Determine g(x(q)).\nAnswer: 342*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and -23687.46.\nAnswer: -947498.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(16)\/sqrt(4)) + -2 + sqrt(21)\/sqrt(3).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 405633728507658 - 3.\nAnswer: 405633728507655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 19 = -u, s + 1 = 5*u + 6. Let j be 9\/s*(-45)\/(-54). Which is the nearest to 4? (a) -5 (b) j (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 18*j**2 + j - 14. Let i be x(18). Suppose i*s - 231 + 75 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13975 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 - ((-22172)\/10 + -3). Let r = v - 11027. Let f = r - -193859\/22. Calculate the common denominator of f and 17\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*j - 17586 + 30121 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 7 times -27321\nAnswer: -191247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -3.2.\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81377010 by 15.\nAnswer: 5425134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 882*f - 884*f. Solve 0 = 5*x + f*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 2, 1 in increasing order.\nAnswer: -8, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/60 - 9*i**2 + 69*i. Let t(u) be the first derivative of f(u). Let z(v) = 30*v**2. Give t(z(w)).\nAnswer: -900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23 + -0.13. Let u = 8\/29 + -19\/174. Suppose 3 = 2*q + 1. What is the biggest value in m, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31563659?\nAnswer: 23, 1063, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204858 divided by -1204858?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Let o = -2.248 + 2.348. What is the nearest to 0.2 in o, f, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 7837.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 714713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 440*i**4 - 419.\nAnswer: 1760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 46622.\nAnswer: -46623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-5)\/2) - 1. Let d(b) = -r - 3 + 9 - b. Let t(g) = -8 + g - 6 + 2*g. Give -17*d(x) - 6*t(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21 + 4 - 11 + 4*x. Let s be i(7). Solve s = -3*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60696 is divided by 85.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 22*u + 17. Let y be q(-6). Solve 0 = 4*p - 5*b + 19, -b - 2 = y*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let s(k) = 4010*k**2 - 5*k + 10. Let x(h) = -4010*h**2 + 6*h - 12. Let j(q) = 6*s(q) + 5*x(q). What is a(j(l))?\nAnswer: 4010*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153025*g = 150871*g + 229944 - 3774 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 + 80*r**2 + 33*r - 78. Let o be v(27). Solve 100 = 46*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1048, 4184, 9458, 16876, 26444, 38168, 52054?\n\"Answer: p**3 + 1063*p**2 - 60*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1759, -3, -2, 3, 1, 4 in descending order.\nAnswer: 1759, 4, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + w - 8 = -9, 2*f + 5*w + 5 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2503 = -4*h + 1799, 0 = 2*h - 3*t - 2169. What is the least common multiple of h and 405?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**3*y**2 + 1192951*w**3*y - 15941125*y**2 wrt w.\nAnswer: 3*w**2*y**2 + 3578853*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - r - 1070 = -1093, 63 = 8*t + r for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - l - 6)*(4*l - l - 2*l) + 83 - 83 - 21*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-4)\/(-112))\/((-5)\/(-5)).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -3.2. Let v = 38262689.40000052 + -38262691. Let g = v + x. What is g rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/1 - (-2 + -1). Suppose -3*l = -m*l + 4. Solve l = a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 9*n**4\/28 - 11*n**3\/7 + 15*n**2\/14 + 9*n\/7 - 86. Factor u(r).\nAnswer: 3*(r - 3)*(r - 1)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 12 = -3*q. Let n(i) = -3*i + 0 + 2*i + q. Let u be n(8). Which is the nearest to -1\/2? (a) -2 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17a (base 15) to base 9.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 + 4 = 0. Let g(o) = o**3 - 3*o**2 + 2*o - 4. Let j be g(x). Suppose 0 = j*v - 5*v - 12. Which is greater: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12815161 * 0.5\nAnswer: -6407580.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 7*r**2 + 4*r - 6. Let h be u(-6). Solve h*l - l = -25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 8. Let r(f) = 5*f - 5. Does 10 divide r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 7:24 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/3 (b) -1\/27 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 4*q**2 - 20*q**3 - 17 + 16*q**3 + 3*q**2 as s*q**2 + y*q**3 + d + o*q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, o: 1, t: 7}. Give prob of picking 4 q.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38679 divided by -3?\nAnswer: -12893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 31*w - 30. What is j(4)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1273417 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-9)*3\/13. Let t = 7 - 4. Which is the third biggest value? (a) g (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, 11, -41.\nAnswer: -41, -4, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11621, -11623, -11625, -11627, -11629, -11631?\nAnswer: -11633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*j**3 - 2*c**2*j + 5*c*j + 264*c - 151004*j**5 - j - 1 wrt j.\nAnswer: -12*c**2*j - 3020080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -220215 times 0.3?\nAnswer: -66064.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246015 - -158156. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456\/(-15) + 0 - (-62 + (-22176)\/(-360)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 4, p: 9, i: 1}. What is prob of sequence hh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858517 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 53. Calculate the highest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.96? (a) -7\/481 (b) 4 (c) -2\/3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 4:49 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 542 + 114?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/120 + 5*t**4\/12 + 13*t**3\/2 + 40*t. Let f(y) be the second derivative of u(y). Calculate f(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5.5, 3\/4, -5 in increasing order.\nAnswer: -5.5, -5, -4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 + 8. What is i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3107344, -6214881, -9322418, -12429955, -15537492, -18645029?\n\"Answer: -3107537*p + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3434 and 4539442.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 2\/211 (c) -6403\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g - 2. Let j be u(3). Let v = 5 + -7. Let r be -1 + -1 - (-1 + v). Solve -r - j = 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9040567.\nAnswer: 9040567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/4 and -131\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 4*h - 3. Let p be r(4). Let i = p - 10. What is the second derivative of 2*k + i*k - 3*k + 3*k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033791273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3010 (base 6) in base 15?\nAnswer: 2d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 92356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 955433 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/16 and 19\/1945622.\nAnswer: 15564976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 22297*f**2 + 45 - 22308*f**2.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31569 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: -1010 (base 2) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 385343\nAnswer: -1541372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j + 5. Let g be o(7). Suppose g = -8*x + 235. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.89 - -0.29. Let k = 9.36 + b. Let i = k + -8. Round i to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10*w**2. Let v(x) = 3178*x + 227. Let k(n) = 181*n + 13. Let l(m) = -227*k(m) + 13*v(m). Determine b(l(u)).\nAnswer: -515290*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 1, o: 1}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260.633674 and 2.\nAnswer: -521.267348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -0.1 (b) -4 (c) 3\/34 (d) 2\/7 (e) 3\/224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -18. Let k(y) be the first derivative of -1\/9*y**t - 1 - 1\/6*y**2 + 0*y + 1\/12*y**4 + 1\/15*y**5. Factor k(m).\nAnswer: m*(m - 1)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -245704 - -245704.309974. Let x = -0.31 + w. What is x rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 574*q**2 - 5*q - 4. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1))\/l*l**(-1))**(9\/4) assuming l is positive.\nAnswer: l**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s. Let m(v) = -4*v. Let y(j) = j**2 - 13*j + 3. Let l be y(10). Let a = l - -31. Let g(r) = -10*r. Let q(z) = a*g(z) - 11*m(z). Determine q(c(p)).\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -6, -52293 in descending order.\nAnswer: -6, -45, -52293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160294795*m**4 + 2*m + 24564156.\nAnswer: -1923537540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/(5\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + u - 476. Let r = 88 + u. Let p(j) = 1 + 2*j - 26*j**2 - 10 + r*j**2 + 7*j. Let z(l) = 3*l**2 - 4*l + 4. What is 4*p(g) + 9*z(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9002 = -18*w + 52796. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + -10 + 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {r: 2, i: 6, q: 1, n: 1, d: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -801 - -1275. List the prime factors of z.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.854390585 rounded to 2 decimal places?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)*s)\/(s\/s**13)*(s\/(s**(1\/3)\/s))**(-45) assuming s is positive.\nAnswer: s**(-435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462215 and 526214?\nAnswer: 34203910","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 - 5*w + 5*w)*(11*w - 12*w - 269 + 3*w - 34) to the form k*w**4 + p*w + x*w**2 + c*w**3 + l and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -194, 4, 249300 in increasing order.\nAnswer: -194, 4, 249300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 + 2*l**3 - 3*l**3)*(-9 - 2 - 4).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x - 17. Let t be o(-6). Let g(j) = 2*j - 5. Let z be g(0). Suppose -4*d + 14 - 2 = 0. Sort d, t, z in decreasing order.\nAnswer: d, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.714 plus 1362373?\nAnswer: 1362284.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 10*j + 3. Let w be h(5). Suppose -2*y = w*y - 14605. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0522851 to 3 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -2 (c) 85 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 61. What is the least common multiple of z and (-13)\/65 + 182\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/7578318 and 73\/66.\nAnswer: 7578318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -53*m**2 + m + 7. Let d be x(-4). Let g = 595 + d. Round g to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40074 divided by 5.\nAnswer: 40074\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 5. Let v be p(-4). Solve 5*i = 4*u - 15, -4*i = -3*u + v + 11 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 1. Let s(v) = 7*v - 2. Let q(k) = 4*k - 1. Let l(c) = -2*q(c) + s(c). Determine 4*l(d) + u(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 722*t + 719*t + 37, -2*t - 15 = 3*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2332310 (base 4) to base 6\nAnswer: -132312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2873\/312 + 2\/3 and (-6)\/15 + 1562\/180?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/44560 and -1\/133680?\nAnswer: 133680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(343)*-3*-1)**2 + -4 + 0.\nAnswer: 12344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-9) - 2\/(-6). Let w be (-3)\/(3\/(-1)) - (-4)\/(-4). Suppose w = -2*b - u + s*u - 3160012, -2*u = -5*b - 7900006. Round b to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 143*v**2 - 3*v - 13. Let m(t) = -286*t**2 + 6*t + 25. Let i(q) = 6*m(q) + 13*x(q). Find the second derivative of i(j) wrt j.\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 3. Let w be f(-3). Let z be (2\/(-6))\/(8\/w). Which is the nearest to -0.1? (a) -1\/3 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1, 11 in increasing order.\nAnswer: -1, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24580631*x**4*z**2 + 3*x**2*z**2 - 3*x**2 + 145618*x wrt x.\nAnswer: -589935144*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -0.063904 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 26*v + 9. Suppose -r = 2*r - 9. List the prime factors of m(r).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3 - 509*l**2 + 104*l.\nAnswer: 6*l - 1018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let n(c) be the first derivative of 0*c**2 - 107 - c - 212\/3*c**3. What is y(n(h))?\nAnswer: -44944*h**4 - 424*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5*x = -23. Suppose x*d - 20*d = 279. Suppose -2*m - m = -d. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*o + 0*o = 165, 5*k + 180 = 5*o. Let n = -25 - k. Calculate the remainder when 25 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4 + 1 - 2 + 3*w. Let v(y) = -y**3 + 8*y**2 + y + 1. Let l be v(8). Calculate the smallest common multiple of 14 and u(l).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000092684 rounded to six decimal places?\nAnswer: 0.000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 11. Calculate the remainder when 34 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 382488?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/60 and -29\/690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(1\/3)*h*h))**(-39))**3 assuming h is positive.\nAnswer: h**273","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*t - 48, -4*t = 10*i - 6*i - 48. Let m = 57 - 61. Sort m, 6, i.\nAnswer: m, 6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232776 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: Simplify ((sqrt(96)\/(sqrt(2) - sqrt(2)*2))\/sqrt(4) + -2 - (sqrt(9)\/sqrt(3)*-4 + 2 - (sqrt(192) + 1)*-5))**2.\nAnswer: 684*sqrt(3) + 4413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -8*p + 0*p + 6*p + 96 + p**2. Does 48 divide i(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6146152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - l + 415. Let i be w(10). Sort 14, i, 1, -1, -2 in increasing order.\nAnswer: -2, -1, 1, i, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*o = d + 202, -3*o = 3*d - 150. Suppose -3*j + 14 + 32 = -2*b, -3*j = 3*b - d. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6015749 by 12.\nAnswer: 6015749\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 37, 78, 157, 286, 477, 742, 1093?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let s be 0 + (3 + -12)\/(-3). Let l(a) = -2*a. Give s*x(i) + 2*l(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 520?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3 - 6742*t**2 - 39722192*t - 38221667168 = 0.\nAnswer: -1684, 6739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (194\/(-10))\/((-28)\/(-10) + -4) and -43.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 4:25 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 - 165*f - 1953. Let i be q(-36). Calculate the greatest common divisor of i and 2937.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6902*z + 48652. Calculate w(7).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*z - 211 - 279 = 0. Let l(x) = -x - 1. Let j be l(-4). Suppose -y = -4*y + j. Solve -z*m - 12 = 2*d, 9 - y = -2*d - 3*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 8*u + 13. Let k be a(-9). What is s in -k*s - 33*s**2 + s**2 + 16*s**2 = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/110 and 71\/9022.\nAnswer: 496210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/128 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:58 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 0*b - 27*b**2 + 0*b.\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743023621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3326*m - 56537. What is r(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -469, -572, -751, -1006, -1337, -1744, -2227?\n\"Answer: -38*y**2 + 11*y - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047099421?\nAnswer: 101, 10367321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3 + 1)*((3 - 4 + 5)*(0 + 4 - 2) + 0 - 3 + 5)*(-26*b + 26*b + 21*b).\nAnswer: 1470*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 2. Let n(o) = -o + 6. Suppose -c + 6 = c. Let j be n(c). Calculate the remainder when 29 is divided by g(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67013.3 grams?\nAnswer: 67.0133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*j = 24, j + 0*j = -5. Let w(o) = o**2 - 5*o + 6. Let u be w(a). Suppose 2*g + 0*g + l - 2122 = u, -5*l = -g + 1061. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0.95. Let j = i + -0.0506. Round j to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:59 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 5913299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/3))**(-2\/107)\/(c\/(c**(2\/5)*c))**27)**(-7\/5))**(-30) assuming c is positive.\nAnswer: c**(242816\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) - sqrt(209)\/sqrt(176))**2.\nAnswer: 513\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = -4*j + 3*w, 5*j - w = 1. Find the third derivative of -4149*i + 37*i**5 + 4149*i + 0 + j + 132*i**2 - i**6 wrt i.\nAnswer: -120*i**3 + 2220*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397*w - 845*w - 942*w + 49*w.\nAnswer: -1341*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3, z: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/2 - 5*s + 12 = 0. Calculate s.\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162188 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.223 and -1314.\nAnswer: -1314.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfffjffffffffffjff. Give prob of sequence jjjf.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((68\/16)\/17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 236 - ((-12)\/4 + 3). Let y be o\/91 + 10\/(-35). Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/18*129\/344*16\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-21))\/((-71)\/(-2485))*-3*(-42)\/(-30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 425550?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/150*-36*530\/102 + (-7 - -1).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 - 6*r - 24. Let n(p) = 3*p**3 - 11*p**2 + 17*p + 72. Give -11*h(z) - 4*n(z).\nAnswer: -z**3 - 2*z - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42958 divided by -148.\nAnswer: -21479\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 14 + 14*m - 12*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353278157 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -272904*q + 16. Let g(w) = -w**2. Calculate b(g(p)).\nAnswer: 272904*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -22100122012002 (base 3) in base 8?\nAnswer: -20742165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -248 - -497\/2. Let c(h) be the first derivative of y*h**6 + 5\/2*h**2 + 0*h + 0*h**4 + 2 + 0*h**3 + 0*h**5. Find the second derivative of c(a) wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1932658\/9 - -214748. Solve 118\/9*j**2 - 70\/9*j + 14\/9*j**4 - z*j**3 + 4\/3 = 0 for j.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25821591.\nAnswer: 3, 8607197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1687596 divided by -281266.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2826 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -g - 32. Let v = -39 - g. Suppose 3*c + 1 = s - 2*s, -5*c = 2*s + 1. Solve -v = -s*f + 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1001101100?\nAnswer: -1001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - -1) + 9 - 5) + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Let r be (d - 2)*10\/(-4). Suppose -r*q = -5 + 10. Sort 1, -5, q in ascending order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*u - 61985 - 43365 = 1249*u for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-16) - (300541\/1752)\/179?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 517*n + 19313. Determine k(552).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 15. Let v be c(-16). Let d(b) = -31*b**3 + 2*b**2 + 2*b + 1. List the prime factors of d(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 16 - 16 + 24*s - 12*s + 25*s**2.\nAnswer: 25*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -13. Suppose 4*l - 8 = 2*v, h*l + 1 = -v - l. Let g(q) = q - 2. Suppose 0*x + 35 = 5*x. Let d(o) = 4*o - 7. Give v*d(u) + x*g(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143809 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-10)*71\/((-15975)\/(-375)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 105124133 (base 6) to base 8\nAnswer: 7256131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(2\/15)\/p*p))\/p*p**(-3\/10)*p)\/(((p\/p**(-8))\/p)\/p*p\/p**3) assuming p is positive.\nAnswer: p**(-133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(65) - -3*2*sqrt(65))\/(-1*sqrt(605)).\nAnswer: -7*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 18. Solve 4*t + 3 = -y*b + 9, 5*b = 5*t - 30 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189 + 521 - 176 - 177 + 7*d to the form i + g*d and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19247 - -19238. Put p, 3\/4, -0.3, -5, -2 in ascending order.\nAnswer: p, -5, -2, -0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, h: 3, l: 4, b: 5}. What is prob of sequence ubl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29.23005 months?\nAnswer: 0.0024358375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -2.3, 0, -24, -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = 5*s. Suppose 0 = 2*d - s + 6. Let m be (d\/3)\/((-3)\/99). What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2202 divide 54933294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 52 + 97 = -38*i, -i = -x + 3*i + 3*i + 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -46802 times 0.04\nAnswer: -1872.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:48 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 7\/6 (c) -2045.3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -5, -1, -253, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = -36, -2*n - 35 - 55 = -7*w - 47 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135979?\nAnswer: 135979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567)*2*-4 - -6*sqrt(70)\/(sqrt(160) - sqrt(10)))**2.\nAnswer: 26047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 1:09 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56090567\/2907 + -19295. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 11*j**2 - 10*j + 5. What is the units digit of g(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20752?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 12, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1333 + 1333. Suppose -3 - 3 = -3*y. Solve -y*v - 6 + 0 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1130560 - 657931. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4 + (sqrt(125) - (1 + sqrt(125))*-4) + (sqrt(125) + -1 - sqrt(125))*4 + sqrt(125))**2 + -4).\nAnswer: -22560 - 1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -5.5, 0.2, 2\/107?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - 2*q**2 + 4*q)*(4*q + 1 - 1).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9843687 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.63 and 366985965624.\nAnswer: 366985965644.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x**2 - x + 1. Let t(k) = -k**3 + 8*k**2 - 16*k - 9. Let f(z) = 2*c(z) + t(z). Let a be f(-8). Solve -3*u + a = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 20632.302s?\nAnswer: 5.731195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 3. Let b(m) = 3*m - 4. Let h(j) = 3*b(j) - 4*d(j). Let l(v) = v. Give -5*h(i) + 4*l(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142451\/82416 + -5\/6868. Find the common denominator of 93\/16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 + i - 3. What is g(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000101 - 101?\nAnswer: -100010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3679025272.\nAnswer: 2, 13, 2053, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 11*q**3\/6 + q**2 - q - 7. Let j be h(3). Is j greater than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/6*(66\/10 - 5). Sort -3, 1, -5, a in descending order.\nAnswer: a, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -9*d - x + 52, 0 = 4*x + 12. Which is greater: d or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 704 = -265. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 4. Suppose 0 = f - 4, -2*a + f - 42 = -4*f. Let p = 7 + a. Let j be k(p). Solve y = -y - j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61d1 (base 14) to base 16\nAnswer: 41cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 60. Let w be 2777\/7 + h\/(-77). Let y(v) = -w + 397 - 4*v. Let n(u) = -9*u. What is y(n(z))?\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86\/477 - -14\/53. Let g(n) be the second derivative of -l*n**3 + 1\/3*n**2 + 1\/45*n**6 + 0 + 1\/3*n**4 - 2\/15*n**5 - 2*n. Let g(o) = 0. What is o?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684854?\nAnswer: 2, 109, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 42 - 24 - 18.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/84 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.314 + 1.414. Which is bigger: f or -90.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 343387114 to the power of 1\/3, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*p + 17*p + 7315*p**2 - 7317*p**2 - 2*p**3 - 114*p + 21*p in the form o*p + s + q*p**2 + g*p**3 and give o.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + -1 + 1341 + 6?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0 - -3 - (-33 - (-3 + 4))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001010 (base 2) to base 12.\nAnswer: 14a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 9960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**5 - 8*u**5 + 29*u**5 + (-u**4 - u**4 + u**4)*(2*u - 5*u + u).\nAnswer: 23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7305*i - 270217. What is b(-37)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = -q, 4*q + 9 + 9 = -2*r. Sort 2, r, 5, -4 in decreasing order.\nAnswer: 5, 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzlzptlhzzpzczlp. What is prob of sequence ztlh?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**8\/840 + h**7\/525 - h**6\/150 + 7*h**2 + 8*h. Let m(x) be the first derivative of w(x). Factor m(l).\nAnswer: 2*l**3*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*n + 2*n = 57, -n - 3 = 0. Let x = 21 + -10. Suppose 0 = -2*c + 4*g + 18, 2*c - 4*g = c + x. What is the remainder when z is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12757828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 803880 divided by -290?\nAnswer: -2772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 48812 and 221.9.\nAnswer: 10831382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccfff. What is prob of picking 1 c and 1 f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(15\/9)*20\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 2}. Give prob of picking 1 b and 1 h.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3406200 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*f + 9 = -5*c, 0 = 4*c + f + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 202*v - 5325 + 679 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*r**2 + 40*r**2 - 2*r**3 - 118*r**2 + 37*r**2 - r to n*r**3 + x + g*r + l*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-2*1)\/(-1). Let l(x) = -2*x + 1 + 3*x + x - 2 - x**u - 26*x**3. Let n be l(1). What is n rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3*((r*r\/r**10)\/r)\/r)\/(r**(-6)\/((((((r\/((r**(-5)*r)\/r))\/r)\/r)\/r*r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286123?\nAnswer: 359, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88672 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 129840 divided by -3\nAnswer: -43280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6509621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 4*u**2 - 17*u + 6. Let a be x(-6). Calculate the greatest common factor of a and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(30) + (1*sqrt(150))\/sqrt(5))\/sqrt(10) + -2 + sqrt(12)\/sqrt(4) + 5))**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935549 is divided by 5952.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 + 12 + 8*q)*(-1 - 2 + 4)*(29266*q + 78*q**2 - 29266*q) to p*q**2 + n + i*q + u*q**3 and give u.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 - 8*u + 5. Let a be n(2). Solve -4*y + 7 = a*p, -3*p + 2*y + 12 + 1 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -3, 3, 1064 in ascending order.\nAnswer: -73, -3, 3, 1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1043*p**3 - 5*p**2 + 18*p - 6. List the prime factors of s(3).\nAnswer: 2, 3, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 0*t**3 + 3*t**3 + (-t**2 - t + t)*(-12*t - 336 + 336) - 2*t**3 - 2 + 2.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = 5*k - 28*t - 135, 2*t = 4*k - 66. What is the greatest common factor of k and 7780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862358907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 25, 22, 19?\n\"Answer: -3*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(325)*1 + sqrt(325))*6 + -6*(1*sqrt(325) - sqrt(325))*-2)**2.\nAnswer: 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, s: 10}. What is prob of sequence msm?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c + 150. Let r be y(-25). Let s(j) be the third derivative of -5\/6*j**3 - 34*j**2 + 7\/48*j**4 + 0 + r*j - 1\/120*j**5. Suppose s(o) = 0. What is o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -3, 10, -178, -0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 3 = -3*u + 8, 3*u = 4*q + 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, t: 2}. What is prob of sequence pttp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 10, 2*p = i + 4*p + 9. Let l be (-14)\/(-10) - 99\/66. Is l greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 467 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 20 = -p, -2*w - 7342*p = 3*w - 7346*p + 67 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -232.7587 rounded to the nearest integer?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 187*k + 21. Let m be l(0). Calculate the highest common divisor of 1414 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 8:47 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1227 divide 11182370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108 - 96) + (-78 - (0 + -1 + 0)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 21\/(21 - 20).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -21 + 21 - (-60)\/(-9). Put -1, -2, -7, 1, k in increasing order.\nAnswer: -7, -2, -1, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*m - 4, 0 = 3*l - m - 20448 + 20454 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 393 - 377. Suppose 56867 = c*f + 3*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 61 + 100 = 0. What is the greatest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 10*v**2 - 6*v + 19. What is f(9)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -12298.17239.\nAnswer: -12295.17239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 24 = -12*g. Solve -5*d + g = 29 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4616684 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 594413*m**3 - m**2 - 326694*m.\nAnswer: 3566478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 4*d**2 + 6*d + 5. Let i(x) be the third derivative of -x**6\/40 + x**5\/10 - 3*x**4\/8 - 7*x**3\/6 - 187*x**2 - 2*x - 1. Give -7*g(y) - 5*i(y).\nAnswer: y**3 - 2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 11 + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 - 35*z - 2. Determine o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 32 - 64 = 0. Suppose -2*t + 7 = l, -5*t - v = -2*l - 10*t. Solve 9 = -l*p + 4*d + 33, 3*p + 2*d - 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-2))\/(15\/400). Calculate the greatest common divisor of 20 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -417. Does 19 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0 (b) -1\/7 (c) -236 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9693297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*r = 66, z - 36 = 3*z - 4*r. What is the tens digit of z + 190 - (-1 - (-2)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51823, 103649, 155475?\nAnswer: 207301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*z + n, 49 = -2*z + 3*n + 39 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 87 = 4*q, -69 = 2*g + 3*q + 76 - 104 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*r**2 + 0*r**4 - 8*r**4 - 2*r**2 + r**4 wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 6 + 13 - 30 - 64*t.\nAnswer: -64*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36\/7 - -34\/7. Let f = 0.05 - 5.05. What is the second smallest value in f, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1) - (-2)\/1. Let t be (56\/m)\/(4\/12). What are the prime factors of (t\/(-12))\/((-2)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120 - 102?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18*p + 69. Let g(d) = -6*d + 23. Let a(f) = -17*g(f) + 6*q(f). Is 5 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208405 is divided by 8362.\nAnswer: 7717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 507568 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2*n + 2. Let l(i) = 4*i**2 - 7*i + 7. Let y(k) = 14*h(k) - 4*l(k). Let q(o) = 30*o. Calculate y(q(r)).\nAnswer: -1800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36362.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3158653, 6317288, 9475923, 12634558?\nAnswer: 15793193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-420)*5 + 34\/133.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 14. Let k be 1 + -2 + (-2 + 600)\/o. Suppose k = -5*a + 7*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3917354 less than 0.57164893?\nAnswer: 3917354.57164893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iititpppp. Give prob of picking 2 t and 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -280 - -296. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9336 + 5096. Let v = m - -4200.66. Let l = 38 + v. What is l rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = 9. Let o(g) = 1446*g - 13016. Let u be o(9). What is the nearest to m in u, 0, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from fbqyoqz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(4\/7)*(y*y**(-2\/15)\/y)\/y)**30 assuming y is positive.\nAnswer: y**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15364688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/13128 and 37\/3.\nAnswer: 13128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 15*x - 13*x + 36, x - 47 = -5*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -2.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 160, 264, 384, 526, 696?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 - 60*u + 2. Let m be o(-15). Let q(l) be the second derivative of 0*l**3 + 0 + 0*l**m - l + 1\/12*l**4. What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40138658*h - 101353768 wrt h.\nAnswer: -40138658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -52*j**2 - 2. Let z(n) = n**5 + 1. Let t(g) = -d(g) - 2*z(g). What is the third derivative of t(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/40)\/(10\/(-12)*(-360)\/(-4800)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36912 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + sqrt(3)*2*-6).\nAnswer: -sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/15 - 5*h**4\/12 - 3*h**2\/2 + 25*h. Let f(v) be the first derivative of r(v). Is 10 a factor of f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -160 - -4?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1056 + -263264?\nAnswer: -264342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3532 (base 8) in base 4?\nAnswer: -131122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzpp when four letters picked without replacement from {p: 3, z: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**3\/3 - z**2\/2 - 9*z - 812. Calculate r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**5 - a**5 - 2*a**5)*(7 - 2 - 3) - 2*a**5 + 29*a**2 + 67*a**3 - 67*a**3.\nAnswer: 2*a**5 + 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -153 - -278. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4 = -4. Let j(s) = -s**3 + s**2 + 715. Let t be j(o). Suppose -4*a + t = y + 242, 0 = 5*a + 5*y - 580. What are the prime factors of a?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 8*g + 6. Calculate b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17, 28, 39?\n\"Answer: 11*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-1))\/3*-299. Let x = -133 - s. What are the prime factors of x?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 10:08 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 3*z - 3*z)*(4*z**2 + 0*z**2 - 5*z**2)*(-1126 + 696 + 5*z + 531).\nAnswer: -10*z**4 - 202*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -490*h**2 + 276579*h + 356673574.\nAnswer: -980*h + 276579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 + l**2 + 9*l**2 - 2 + 5*l**2.\nAnswer: 19*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 0, 2*z - 5*v = 7*z + 2875. Let m = z - -1289. Is m a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3 = -w. Suppose -35 = -w*z - 2*z. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -97\/3. Factor -p*f**2 - 8\/3*f**3 + 4\/3*f**5 + 4\/3 + 4\/3*f**4 + 4\/3*f.\nAnswer: 4*(f - 1)**2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -177.3. Let u = 442 + -438. Sort u, d, -1\/2, -1\/4 in increasing order.\nAnswer: -1\/2, d, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 18*b**2. Let w(x) be the third derivative of 0*x**3 + 2*x + 0 - 1\/6*x**4 - 9*x**2. Give w(u(h)).\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 divided by -196?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(176) + sqrt(44)\/(sqrt(16)\/sqrt(4)) + 1*(sqrt(55)\/sqrt(5) + 3).\nAnswer: -2*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 87*z - 89*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54, -1, 5 in decreasing order.\nAnswer: 5, 4, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*v - v - 20, 4*v - 16 = 0. Let p = -6 - c. What is the second smallest value in -2, 6\/7, p?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 38. Suppose -42 = -4*x - 2*n, 11 = -x + 3*n + 32. Calculate the remainder when f is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5478912 by 2.\nAnswer: 2739456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*j**2\/7 - 11811*j\/7 + 7878\/7.\nAnswer: -3*(j + 1313)*(3*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 + -3.99. Let o = l - -1.7. Put -4, o, -0.5 in ascending order.\nAnswer: -4, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -30. Suppose -u = -2*h + 7*h. Let b be ((-2)\/(-3) + 0)\/2. What is the third smallest value in b, h, -1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 - 1035*u**2 - 92781*u - 599781 = 0.\nAnswer: -169, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 - 21*o + 5. Let t(p) = -3*p + 951 + 4*p - p**2 - 952 + 3*p. Let l = -12 + 4. Let m be (-9)\/4 + (-2)\/l. What is m*n(y) - 11*t(y)?\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in -5\/58, 8, 2\/9?\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -9)*(56\/70 + 0). Let u = -13 + 15. Suppose 0*y - 10 = 5*y, -u*y + 8 = -3*r. Sort r, 5, -1, c in decreasing order.\nAnswer: 5, -1, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 22\/7, 0.26 in decreasing order.\nAnswer: 22\/7, 0.26, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2539*z + 892*z + 1670*z as p + v*z and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:30 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206795 divided by 5.\nAnswer: 41359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(28\/(-98))*(51468\/14)\/1.\nAnswer: 2, 3, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -2*l**3\/3 - 10*l**2 - 50*l - 75. Factor b(f).\nAnswer: -2*(f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + -5 + 2 - -23\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/8)\/d)\/(d*d**(-4\/7)))\/(d\/(d\/d**9*d))**(-11) assuming d is positive.\nAnswer: d**(4827\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 + 2*b - 3*b + 0*b - b**2 - b**2 + 0*b**2 + (b - 3*b + 4*b)*(-3*b - b + 5*b) + 2*b**2 - 2*b**2 + 15*b**2 - 2*b**2 + 8*b**2 - 7*b**2.\nAnswer: 17*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 62*c + 575. Calculate t(-9).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -20. Let c = 0.1 - 1.1. Let m = -1.2 - c. What is the nearest to 2\/5 in n, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + k + 3)*(-3*k + 4*k - 3*k) + (-71 - 14*k**2 + 71)*(-2 + 2 - 2) + 14*k**2 - 7*k**2 + 26*k**2.\nAnswer: 59*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j + 26 - 15 + 81. What is the hundreds digit of k(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t**2 - 29*t - 25*t + 54*t.\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/(-220) - 24\/(-11). Calculate the highest common factor of 10 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + 4*i**3 - i**3 - 15*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44421 + 48628. Solve c = 6*q + 4171 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -103*r - 4. Let x(v) = -35*v - 1. Calculate 4*a(k) - 14*x(k).\nAnswer: 78*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 419665 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 54. Suppose 14 = r + 6. Let z = h - r. Solve z = 2*y - 4*y - 2*n, -4*y + n - 15 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpsssszlsgplszzlpgsl. What is prob of sequence ls?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -1. Calculate the common denominator of (-66)\/u*4\/(-10) and 59\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 320, 119, 5, -22, -2 in ascending order.\nAnswer: -22, -2, 1, 2, 5, 119, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 5 + 0 + -10 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -81680 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138.48 - 133.48. Sort -16, 6, w, 4, 9 in decreasing order.\nAnswer: 9, 6, w, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258.883 rounded to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**4 + 92299*t**3 - t**2 + 3*t - 6805 wrt t?\nAnswer: -72*t + 553794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0 - 1\/12*i**4 + 0*i**3 - 1\/24*i**6 + 0*i + 0*i**5 + 4*i**2. Find the second derivative of y(h) wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6842785?\nAnswer: 5, 31, 131, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 3222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 197*b - 1. Let x(l) = 395*l - 1. Let q(f) = 5*m(f) - 3*x(f). Let g be q(-1). Let o = g + -129. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*w**2 - 23 + 60 - 14 - 19 - w - 218*w**2.\nAnswer: -30*w**2 - w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 194\/(-35) + 44\/110. Is -6 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943959 is divided by 74.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(25*16\/(-160)*1\/(-80))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4881 or -4882?\nAnswer: -4881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 + 3*q**2 - 2*q - 2. Let p(x) = 7*x**3 + 6*x**2 - 5*x - 3. Suppose c = -2*c + 6. Let b(z) = c*p(z) - 5*a(z). Factor b(w).\nAnswer: -(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -464*i**2 - 210*i wrt i.\nAnswer: -928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = g. Suppose -c + 0*v + 2 = -g*v, c - v = 0. Let y be ((-18)\/(1 + 2))\/c. Solve -4 = 5*f + 6, y*s + f = -2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 0. Let b be 1*65 - (g - 3). What is the greatest common divisor of 42 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347241, -694357, -1041351, -1388223, -1734973?\nAnswer: -2081601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60577894 rounded to the nearest 1000000?\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 2, 5, -142, -25 in increasing order.\nAnswer: -142, -25, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4295 and -30\/859.\nAnswer: 4295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -152879.5346 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 4) in base 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36429611.\nAnswer: 97, 375563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 11}. What is prob of sequence zlll?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from {k: 7, m: 2, v: 4, u: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 115, 156, 163, 124, 27?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 47*i + 563325 = 137*i. Solve 35 = 3224*f - i*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k**2 - 4*k + 221. Let j(q) = -q**2. Let g(z) = -6*j(z) - t(z). What is the derivative of g(x) wrt x?\nAnswer: -24*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 - (4 + 20 + -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*l**2 + 8 - 4*l**2 - 20*l + 3*l**4 + 52*l - 4*l**4 - 8*l wrt l.\nAnswer: -12*l**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 140 - -26?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1016679 bigger than -1016641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u**3 + 5*u**2 - 7*u**2 - u - 1 + u**3. Let o be v(-1). Determine w so that 5*w**3 + 5*w**o - 11 + 20 - 10*w**2 - 9 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/12 + (-46)\/(-6). Suppose -i*d + 30 = -2*d. What is the greatest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, 2\/55, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48372398 is divided by 16124122?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 17*y**2 + 5*y - 29. Let f be p(17). Calculate the highest common factor of f and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1645732 by 411433.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -256, 8406?\nAnswer: 8406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1517243 + 2692643. What is d rounded to the nearest 10000?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 7*g - 4. What is the remainder when 4 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 53. Let b be z(-16). Solve 0*v = 2*j + b*v - 30, 0 = 4*j + 4*v - 36 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 131001403 - -3?\nAnswer: 131001411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3413 is divided by 1677?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:18 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4, 30*l - 2470 = -3*s + 25*l. What is the remainder when s is divided by 411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 - 62.84. Let f = 8638.560092 - 8639.4. Let r = f - l. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-1)\/((-3)\/(-2)). Let o = 49352 + -49351.8. Which is the nearest to -5? (a) o (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - -2) + -4 + -14 + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 114, 240, 416?\n\"Answer: 25*w**2 + w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g - 4*g + 3*g + 0*g - 9 with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 1:55 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 + 4522*y**3 - 45046*y**2 + 58478*y + 108048 = 0.\nAnswer: -1, 3, 8, 2251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4 + 8*p - 8*p - 14*p + 7. Suppose 5*l = -5*l - 30. List the prime factors of d(l).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*z - 943 = 0, 444 + 168 = 2*h + 5*z. Let a = h - 18. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 p when four letters picked without replacement from gpggpgg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12018139231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 271496435?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 300068147 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 352\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 236174 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/9)*o\/(o**(3\/7)\/o))\/(o**(-1\/6)*o\/(o**2\/o)) assuming o is positive.\nAnswer: o**(163\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919317?\nAnswer: 17, 112901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*c**2 - 5 + 0 - 88*c**2 + 5.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*l - 0*x - 4855, 2*l - 2*x = 2420. What is the greatest common divisor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1)*2\/(-4). Sort -2, w, -3 in descending order.\nAnswer: w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-155 + 156)*1\/(1\/153). Calculate the highest common factor of 187 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74326 and 1.7?\nAnswer: 126354.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:32 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8400891 is divided by 247085.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1606 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7454*i - 499*i - 356*i.\nAnswer: 6599*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3909393436 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80) + -3 + sqrt(80) + (sqrt(80) + sqrt(80)*1)*-4 + -5)**2.\nAnswer: 384*sqrt(5) + 2944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-92*c + 47*c + 46*c - 2)*(-3 + 0 + 1) + (-6 + 1 + 3)*(-11 - 10 + 5)*(-c + c + 2*c) in the form x + w*c and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946*r + 14 + 4957*r - 187*r + 3987*r - 12.\nAnswer: 10703*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -56. Let k = -1004.36 + 970. Let j = k - r. Round j to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 747 and 2158.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 1) + (-37 - -28). Let g(z) = 3*z + 6. Calculate g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -1. Let w = o + 0.55. Round w to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s - 16 = -17*s - o, 12 = -3*o. Let l(w) = -w**2. Let m(a) = 5*a**2 - 6. Suppose 3 = -14*r - 11. Determine r*m(k) + s*l(k).\nAnswer: -k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 12. Let b be (11\/(-11))\/(1\/2). Let k be a*((-16)\/6 - b). Is -3 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -3)*(0 + -1). Suppose 7*m - 116 + 4 = u. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16746257 rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(11) - sqrt(396)) + -4 + sqrt(11) + 2*sqrt(66)\/sqrt(6) + -3)**2.\nAnswer: 36*sqrt(11) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/9*7\/(35\/50).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.8 - 58. Let p = m - 0.1. What is the second biggest value in 1.5, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -46, 2, 68?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2260464*l**2*n**2 + 3*l**2*n - l**2 + 1192891*l*n + 3*l - 3*n**2 wrt n?\nAnswer: -4520928*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406035 by -135345.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {l: 3, z: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 54\/6)*2\/(-24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1689 and 9?\nAnswer: 5067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/3271 + 39280\/22897. Find f, given that -76\/7*f**2 - m*f**3 - 16\/7*f + 48\/7 = 0.\nAnswer: -6, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbaaccbcvcbvvavccb. Give prob of sequence aa.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 80803913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from kokokoyklox?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -15\/1241 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/11 and -21\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2185393, -8741607, -19668631, -34966465?\nAnswer: -54635109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.74055 millilitres?\nAnswer: 0.06774055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 327*l**2 - 5*l - 14. Let u be z(-2). Suppose -112 = -12*f + u. List the prime factors of f.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.5 + 6. Let d = u - -3. Which is the closest to 0? (a) 2 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 143*o + 384. Let w be g(12). Suppose 9*y = w + 4515. List the prime factors of y.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25, 21, 21, 31, 57, 105, 181, 291?\n\"Answer: f**3 - 4*f**2 + f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 176709 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(242) - (sqrt(242) + -4*-1*sqrt(242)) - sqrt(242)) + sqrt(242))**2.\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 79745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**2 - 3*c**2 - c**3 + 10 + 3*c**2 + 6*c. Let r be n(7). Solve -4*m - 29 = -5*h, r*h - 5*m - 10 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44.076 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00178693424 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 1. Let x(j) = 524*j**2 + 655. What is -2620*m(g) + 4*x(g)?\nAnswer: -524*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbbjgbjbjjjbbb. Give prob of picking 1 b and 1 g.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1461362 and 42\/104383.\nAnswer: 1461362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -1 + sqrt(475) - sqrt(475))**2 - sqrt(475))*-1.\nAnswer: -476 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -88, -171, -288, -451, -672, -963?\n\"Answer: -2*s**3 + s**2 - 50*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-397)\/(-26996))\/(40\/(-85))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861394587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 458, 1061, 1910?\nAnswer: 3005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-9)*((-20088)\/(-378))\/(-62)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 40811 = -5*n, 3*b - 16123 - 24704 = -5*n. Suppose -8*p + n = p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2459054*i**2*x - 324*i - 355*x wrt i?\nAnswer: -4918108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - g**2 + 7*g + 7. Let q be o(-3). Solve 4*f = q - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112873220 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*1*-6)\/(sqrt(24)\/(sqrt(2) - sqrt(2)*-1)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 - 12 = 0. Suppose 50*k - 6817 - 17233 = 0. Calculate the greatest common factor of w and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 66. What is g(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5320)\/665*30\/16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, o: 7, k: 2}. Give prob of picking 1 o and 2 e.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**1)**(-27)\/(u**(1\/4))**37)**(-23))**(1\/56) assuming u is positive.\nAnswer: u**(5819\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 4*b**6\/3 - 19*b**2\/2 + 20. Find the second derivative of f(g) wrt g.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + sqrt(605)*2*-2.\nAnswer: -44*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 21*p - 19. Let q(z) = 11*z - 9. Let a(k) = 13*q(k) - 6*v(k). Let f be a(2). Let b = f - 16. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/15)\/(7\/1071). Let h = -1132\/55 + v. Let b = 41 + -45. Put -0.5, h, b in increasing order.\nAnswer: b, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -15*v**3 - v**2 + 1. Let j be c(-1). Let p = 11 - j. Let y be (-10)\/p + 7\/(-14). Is 2 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/12 - a**3\/2 - a**2\/2 - 11*a. Calculate m(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4854*l - 2715*l - 2345*l + (5 - 2 - 1)*(l + l - 4*l))*(2*l - l - 3*l) in the form w + g*l**2 + u*l and give g.\nAnswer: 19836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:30 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r + 40. Let n(b) = -8*b + 40. Let j(o) = -4*l(o) + 3*n(o). Let y be j(10). Calculate the greatest common factor of 32 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 21. Suppose -s*u = -u - 11942. Let p = u + 5058. What is p rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*27.88822\nAnswer: -11.155288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 891462859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277281?\nAnswer: 3, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -26, -56, -104, -176, -278, -416, -596?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/((54\/24)\/(-9))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 254*-1938\nAnswer: -492252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 95. Let j = r - -257\/3. Determine u so that -j*u**2 - 4\/3*u - 2\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 36 - 32*p + 7*p + 11*p + 2*p**3 + 15*p**2. What is r(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -t + p, -2*p = -2*t + 7*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 7) to base 2.\nAnswer: 10011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107 + -94. Suppose -4*d + o + 99 = -0*o, -3*o + 93 = 3*d. Let f = d - c. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:33 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 465099, 465255, 465411, 465567, 465723, 465879?\nAnswer: 466035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8600659 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -4955?\nAnswer: -4957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67084 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -37*x + 450. Suppose 4*f - 5*w = 23, w = 2*f - 3 - 4. What is the highest common divisor of f and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p + 5. Suppose 3*k + 29 = g, -4*g + 35 = -2*k + 9. Let j be 1\/(((-36)\/(-8))\/k). Let v be w(j). Sort -0.6, v, 5, -0.4 in ascending order.\nAnswer: v, -0.6, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((5 + 4 + -3*sqrt(425) + 3)*4*1)**2*2.\nAnswer: -11520*sqrt(17) + 127010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7880 - -7910. Solve -q*m = -25*m - 3*v - 25, 3*m - 16 = 2*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1091 - 3749 = 93*d + 690 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/k**7 assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*h - 8 = 0, -3796*h = -4*j - 3791*h - 12 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 82. Let m(b) = 2*b - 7. Suppose 5*t - 2*x - 41 = -15, -t + 2*x = -2. Let y be m(t). Solve l*a - 8 = -5*c, y*c = -2*a + 13 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -219.\nAnswer: -1\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -424, -1, 1, 0, -4.\nAnswer: -424, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9057 - -14631. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15421524410 - 2?\nAnswer: -15421524412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**4\/13 + 318*c**3 + 1855400*c**2\/13 - 22937088*c + 1162777088\/13 = 0.\nAnswer: -1096, 4, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 7, c: 2, t: 1, a: 4, i: 4}. What is prob of picking 1 n, 1 a, and 1 c?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 13. Let o = -1 - -1. Suppose 0 = -4*i - 20, -2*a + 7*a - 5 = -2*i. Solve a*m = -o*m + q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**2 + 1. Suppose -5*b - 2*k + 37 = 0, -7*b + 25 = -4*b + 4*k. Suppose 4*c - b = -c + 4*p, -2*p = 2*c + 8. What is the units digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3208657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/16 - 107\/240. Let t = -0.231 - 0.069. Let n = 0 - 0. Which is the second smallest value? (a) n (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-4 + (sqrt(972) + -3*(-4 + sqrt(972)) - sqrt(972)) + -4 + 5))**2.\nAnswer: -44145 + 4860*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39602330.\nAnswer: 2, 5, 89, 44497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/3*3\/(-2). Let w = 9 + -3. Solve -b - w = -z*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5561, 21867, 49045, 87095?\n\"Answer: 5436*r**2 - 2*r + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**4 - 18*d**3 + 24*d**2 - 3*d**4 + 43*d - 25*d - 27 = 0. Calculate d.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -263*n**3\/2 - 434*n**2 - 3443*n. What is the first derivative of q(x) wrt x?\nAnswer: -789","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 15*s = -18*s + 40, -2*r - 2*s = -72. What is the nearest to 1 in 0.3, r, -0.2, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41128 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 58*y - 172. What is n(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 1208*x**2 + 113284*x + 3096768.\nAnswer: 4*(x + 48)*(x + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 128\/448 - 24\/(-14). Suppose -4*d + 1604 = -4*k, -6*d + z*d + 1609 = -5*k. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 12 = -4*r. Let z be (r - 8) + (-2 - 1). What is the common denominator of -85\/8 and (4\/(-30))\/(z\/3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 + 8*o - 3. Is j(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -8. Let p = -3 + 2.7. Put w, -3, p in ascending order.\nAnswer: -3, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(90)*-2)\/sqrt(2) - (1*sqrt(135) + sqrt(135))\/sqrt(3))\/((sqrt(9) - 2*-2*sqrt(9))*-6)*-4*3.\nAnswer: 8*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 - 1?\nAnswer: -10010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454960?\nAnswer: 2, 5, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-474)\/24 + ((-1045)\/(-1980) - (-4)\/18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, 2\/9, 7, -526\/81?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 1189\/12. Let j(f) be the third derivative of 0*f + 0 - f**2 + w*f**4 + 0*f**3. Let u(i) = -i. Calculate u(j(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.09 and 5.6.\nAnswer: -11.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**2 - 5 - l**2 - 13.\nAnswer: -l**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 3, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**4\/4 + 8*w**3\/3 + 7*w**2\/2 - w + 2323. Calculate f(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/126113 and 23\/981.\nAnswer: 1135017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*i - 16, 5*j + 45271*i - 56 = 45274*i for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23575.314 rounded to the nearest 100?\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 8*g**2 + 8 - 8*g**2.\nAnswer: 6*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(4*r - 6*r + 3*r)*(-1 + 4*r + 13*r - 27*r) to the form q + l*r + w*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2612077669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 4*y**3 - 9*y**2 - 8 - y - 4*y**3 - y**3. Let w be a(9). Let v = w - -27. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkgoowiwwwoggogwmw. Give prob of sequence mwww.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 7*s + 1. Determine x(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - 1. Let q(r) = 1035*r + 33116. Let j be q(-32). Sort 7, g, 5, j in ascending order.\nAnswer: j, g, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s**2 + 101*s + s**2 - 2 - 7*s**4 - 102*s - 5*s**3 + 8*s**4 to the form p*s**3 + c*s + g*s**4 + x + v*s**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 231\/(-14). Which is the second smallest value? (a) 5 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.1, 95, -1\/2, -35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 4) to base 11.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**5\/30 + d**4\/24 - 7*d**2. Suppose -5*f + 30 = 3*y + 2*y, 4*f - 18 = 2*y. Calculate w(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-r + 2 - 2) + (2 - 2 + 13)*(-2*r + 3*r + r) - r - 3*r - r - 1 + 1 - r.\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -64 (c) -0.15 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14)*(16 + -2). Let h = p + 33. Suppose 4*u - 108 = -3*n + h, -5*u + 210 = -2*n. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 (base 8) in base 15?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - z**2 - z. Suppose 0 = -l + 30 - 6. Suppose -4*j - 5*f = l, -4*j + 4*f = -3*j - 15. Let b(v) = -3*v**3 + 4*v**2 + 3*v. What is j*b(d) - 5*m(d)?\nAnswer: -2*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.8 - 17. Let v(b) = -3*b**3 - b**2 + b + 1. Suppose -2*f + 8*y = 3*y + 7, 2*f - 3*y + 5 = 0. Let s be v(f). Sort s, l, -4 in descending order.\nAnswer: s, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -y**2 + 10*y + 807. Let i = 0 + 4. Suppose i*j - 28 = -3*f, 0*f + 14 = 2*j - 2*f. Calculate n(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 102 (b) -5 (c) 3 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 6. Suppose 7*q - 96 = -17*q. Suppose 3*x = -2*z + q*x + 9, 4*x = -4. What is k(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*v + 545 = 0, 4*v - 366 = -10*i + 8*i. Is i greater than 175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404 and 99196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from fmb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-1))\/(595\/91*1131\/174)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-11 + 2)\/(-3). Suppose x*i = 6, -5*n + 4054 = -0*n - 3*i. What are the prime factors of n?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43074995, -43074986, -43074971, -43074950, -43074923, -43074890, -43074851?\nAnswer: -43074806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (12 - -2)\/(-1). Suppose -s + 1 = -5*a - 46, -4*s = 3*a + 19. Let n be (3 - (-51)\/a)*(-45)\/2. What is the greatest common factor of j and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70355 + 70407 + (-1 + 1 - 21)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 441016354 divided by 269\nAnswer: 1639466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u**2 + 3*u + 2. Suppose -4*f - 6 = -7*f. Suppose -3*s = -2*s + f. Let c be k(s). Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let k(l) = -l**2 - l - 1. Let p(r) = -11*r**2 + 6*r - 7. Let u(i) = 6*k(i) + p(i). Let d(w) be the first derivative of u(w). What is d(z(h))?\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 174323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/2 + -1 + (2 - -1). Calculate the remainder when (884\/(-91))\/(v\/(-7)) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1701272 and 65073654.\nAnswer: 260294616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -51 - (-58 + 22 + 21 + -1 + 3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - q + q)*(197 - 219 + 340).\nAnswer: -636*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**4\/8 - 4*f**3\/3 + f**2 - 6. Calculate j(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (990\/(-153))\/(344\/(-1462))?\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 0)*(-1)\/(-3). Let m = -6.5 - -8. Let y = m - 2. Sort y, -3, r.\nAnswer: -3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 * 0.007625.\nAnswer: 0.358375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 211999409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 0*o**5 + 0*o**2 + 0*o**4 - 76\/3*o**6 - 70 - 45*o**3 + 0*o. Find the third derivative of r(x) wrt x.\nAnswer: -9120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2938\/(-13))\/(0 - 1). Let o = 360 - y. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, 16, 63, 118, 175, 228?\n\"Answer: -l**3 + 13*l**2 + l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -87. Suppose -4*v = -25 - 3. Calculate the smallest common multiple of a and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*l**2 - 126*l - 4.\nAnswer: 2*(l - 2)*(32*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + u**3 - 3*u**3)*(0*u + 0*u + 2*u**2) + (6*u**3 + u**3 - 23*u**3)*(79*u + 63*u - 56*u)*(2*u - 5*u + 5*u) + 3*u**4 - u**5 - 3*u**4.\nAnswer: -2755*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 822 + 1?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -558*v + 293. What is the thousands digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5951?\nAnswer: 11, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*s**4 + 46*s**3 - 20*s**3 + 60*s**4 - 13*s**3 - 14*s**3 - 3 + 2*s - 3*s**2 to the form v*s + h + k*s**4 + j*s**2 + o*s**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 264, 856, 1976, 3792, 6472?\nAnswer: 10184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*l - 72 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370730897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.846 - 0.646. Which is the smallest value? (a) 2\/7 (b) -15.3 (c) v (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01178 and 9.\nAnswer: -0.10602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 96*c - 72. Suppose -4461*g + 4478*g = 1224. Let r(h) = h - 1. What is g*r(n) - z(n)?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 14889072803340.\nAnswer: 14889072803337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l + 3909 - 14227 = 0. List the prime factors of l.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2777138 microseconds?\nAnswer: 277.7138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 198 = 7*p - 11*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/30*(-63)\/(-14)*(-2)\/(-6).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {e: 6, q: 7, j: 5, u: 1}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/51, 5, -117?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -18805*j + 18849. What is y(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 36*c**3 + 3*c**2 - 36*c.\nAnswer: -3*c*(c - 12)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 9*w - 14. Let f be v(7). Suppose f = 8*g + 2 - 26. Solve 0 = -3*o + 6*o - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922551400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.06 (c) -72 (d) -0.046 (e) 3\/5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 + v - 10. Let b be k(5). Let t(l) = -4*l - 7. Let f be t(-3). Calculate the highest common factor of b and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/5 - 4*v + 21\/5 = 0. What is v?\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -25*m**2 + 2530*m + 4654. What is j(103)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*m + 26 - 8, 0 = 3*l + 5*m - 3. Let y(g) = g**3 - 7*g**2 + 7*g - 3. Let b be y(l). Sort b, -0.4, -5 in ascending order.\nAnswer: -5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -875?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + -0.2. Suppose q + 3*r = -8, 3*r + 10 - 27 = 4*q. Let z be (2\/(-10))\/(72\/(-240)). Which is the third biggest value? (a) q (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t - 34. Let l(s) = -2*s - 6. Let v be l(4). What is the units digit of x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/17 (b) -8980 (c) 3 (d) 24 (e) 1\/4 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205834 is divided by 536.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(-1 - 2 - 2)*(-3*q + 2*q - q).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*(6 - 0). Solve -p*f = f + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 2. Let g be 32\/14 - (-2)\/(-7). Let f be (-1)\/g*(-3)\/(-6). What is the third smallest value in i, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30) - (-1025)\/(-750)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313135994 by 156567997.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 390\/456 - (-4)\/(-38) - 1. Suppose -6*k + 71 = 5. Suppose -6*c + 13 + k = 0. Put 0, -2, c, g in increasing order.\nAnswer: -2, g, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308265, 308227, 308189, 308151?\nAnswer: 308113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -2\/15, 0.3, 0.34, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111 + 10100010?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24490, 17692, 6362, -9500, -29894?\nAnswer: -54820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4\/13*d + 0 - 2\/13*d**4 - 4\/13*d**3 + 2\/13*d**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 16) in base 14?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312997655?\nAnswer: 5, 59, 173, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 + 4*s - 2. Determine r(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:30 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 21. Let g be f(8). Let u be 66 + (-4 - -3) + g. What is the second derivative of 48*t**4 - 19*t - u*t**4 - t**3 + t**3 wrt t?\nAnswer: -168*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -72312 - 693*d + 72401 + 677*d. Give o(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2203012 (base 4) to base 9.\nAnswer: -15277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7)*g)\/(g*g**3)*(g\/g**(-2\/7))**40 assuming g is positive.\nAnswer: g**(341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34889*v - 2*k - 14 = 34891*v, -4*k - 16 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 77076.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-193)\/(-2) - (-2)\/(-4). Suppose -p - 52 = 2*v, 64 = -4*p + 2*v - 154. Let d = p + w. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*t**2 - 1028*t**3 + 5*t**4 - 125*t + 250 + 1033*t**3 - 32*t**2 = 0. Calculate t.\nAnswer: -5, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 56 = -7*a. Let w(v) = v**2 + 12*v - 14. Let r be w(a). Suppose r - 11 = n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4593 + 4769.861. Let s = 412 + -235. Let w = s - p. What is w rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a factor of 2292756000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 - 1 = 0. Factor q**2 - 6*q**3 + 7*q**3 - 2*q**3 + o*q.\nAnswer: -q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*i + 11 - i**2 - 16 + 5*i**2 + 5 - 64*i.\nAnswer: 4*i**2 - 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/12)\/((-1)\/(-3) + 24\/(-288)). Solve -h = 10*c - 86 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*(-5)\/(10\/3). Let o be 4\/(-10) + 24\/(-15). Sort m, -4, o in increasing order.\nAnswer: -4, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8198?\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2012993092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**3\/5 + 8084*v**2\/5 + 33616*v + 32000 = 0.\nAnswer: -2000, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-78))\/(1620\/84564*-87)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 179?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 - -111. What is the third biggest value in w, 0.1, 0.5, -12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 6*(-1)\/2. Find the common denominator of ((-134)\/12)\/(o\/9) and (0 - 158\/(-16))\/(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d + 52 - 60 - d - 10*d - 25*d - 22*d + (d + 0*d + d)*(4 + 0 - 6) + 0 + 0 + d + 2 + d - 2.\nAnswer: -56*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 - 3*c**3 + 0*c**3 + 5*c - c**2 to the form b*c**3 + o + l*c + m*c**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 625 = -5*d + 7110, 0 = -2*d + 4*n + 3070. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2352 (base 8) to base 9.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.022 - 1.822. Let z = s - -1.5. What is the second biggest value in 1\/11, -2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**3 - q**2 - 5*q - 2. Let o(k) = -3*k**3 + 4*k + 2. Let i(t) = -2*g(t) - 3*o(t). Suppose 3*w + 6 = -0. Let y be i(w). Are y and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.638381153 to 2 decimal places.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -46. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 0*z + 4*z - 2*z - 7. Let f(o) = o**2 + 4*o + 9. Let q be f(-2). Calculate y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*j - 31. Calculate the remainder when 39 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.5, -51\/7, 2, -2, 0, 3\/7 in increasing order.\nAnswer: -51\/7, -2, 0, 3\/7, 2, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose 0 = n + j - 14. Calculate the remainder when 3\/(-5) + (-93)\/(-5) is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-6 - 0 - -3) - -8) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23697604 to the nearest integer?\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -168, -35, 314, 951, 1948?\nAnswer: 3377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 40 = 8*g. Let w be 1207\/(-357) + (2\/2)\/g. Which is greater: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14656?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15110533 (base 6) in base 2?\nAnswer: 1111111100011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004158 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + (5 - 14) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2678, 2834, 3102, 3488, 3998, 4638, 5414, 6332?\nAnswer: 7398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/3*7\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*sqrt(1008) + sqrt(1008))*-3 + -1*(sqrt(1008) - (sqrt(1008) - (-1 + sqrt(1008)))))**2*3.\nAnswer: 72*sqrt(7) + 3027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 16\/6891 (c) 7 (d) 0 (e) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 207 + 91*g**2 + 88*g**2 - 264*g**2 + 83*g**2 to y*g**2 + c*g + z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16723030 + 60884030. Round f to the nearest one million.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 4208926?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3288, 6607, 9926, 13245, 16564, 19883?\n\"Answer: 3319*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-10))\/(-8)*2)\/(((-49)\/18)\/7)\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19079860.1 rounded to the nearest 10000?\nAnswer: 19080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.843 + -37.7. Let k = -0.3 + -0.9. Let j = k + g. Round j to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 127, 527, 1231?\n\"Answer: 152*u**2 - 360*u + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**3 + 3*c**2 + 48*c - 3. Let u(o) = -o**3 + o. Determine -g(t) - 3*u(t).\nAnswer: t**3 - 3*t**2 - 51*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8.085 (b) 3 (c) 5 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 30*b**2 + 35*b - 119. Determine q(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:05 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (15 - -1 - (23 - 15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, n: 1, u: 1, k: 1, i: 1}. What is prob of sequence iun?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 4*a - 15. Is v(6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 301, 627, 953?\n\"Answer: 326*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w + 317 - 604 + 287.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 494 - 492. Let -2\/5*n**3 + 0 + 0*n + 0*n**b = 0. What is n?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 2314\/220 - 15\/50.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccckkkckkcck. What is prob of picking 4 c?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/156 + 16\/3. Let y = -15 - -16.6. Let g = 0.5 - y. What is the second smallest value in g, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*sqrt(19) + (sqrt(1539) - (3 + sqrt(1539))).\nAnswer: -24*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4))**5)**(1\/49))**(-9\/4) assuming v is positive.\nAnswer: v**(45\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(m**(6\/5)*m)*m*m**(-4)*m\/(m\/m**3) assuming m is positive.\nAnswer: m**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22251383?\nAnswer: 7, 11, 288979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -25*z + 145. Let p be d(6). Let j = 1006 + p. What are the prime factors of j?\nAnswer: 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2735900 and -149\/150600?\nAnswer: 16415400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 2*o)*(o + 0*o - 3*o)*(5 - 5 - 2*o**3) + 2*o**4 - 2*o**4 + o**5.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 42. Calculate the least common multiple of s and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0627a (base 13) in base 11?\nAnswer: -2582802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -161*a + 292*a - 146*a + 79050. Calculate the remainder when a is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2. Let t(o) = -3*o**2 + 6*o**2 - 10*o + 10*o. Give t(m(h)).\nAnswer: 300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 10*v - 13. Let a be z(-8). Suppose -a*r - 35 = -56. Solve 2*d = -3*w + 5, w + r*d = 6*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - 1. Let c = -5 + 6. Let d be s(c). Suppose 26 + 4 = d*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 3, u: 12}. Give prob of picking 1 u and 2 j.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 873 + -910. Which is the closest to 0.1? (a) 4\/11 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 5. Let b be d(-10). Suppose 0 = -b*f - t + 19, 3*t = 4*f - 0*t - 19. Suppose f*i = 242 - 30. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 4\/(-4) - (65 - 2)\/9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/18 in 24, -5, -0.3, -1.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 515778044 divided by 1.\nAnswer: 515778044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 20. Is -6 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -6) + (4 - 17 - -1) + 3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 5573858.\nAnswer: -5573862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2384 + -1261. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*f**2 + 1772*f + 528.\nAnswer: 4*(f + 44)*(10*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 15 = -17. Let c be (-33)\/22 + 3 + l. What is the nearest to 46 in c, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 14. What is the common denominator of (-51)\/9*30\/z and 1\/(-2) + 9\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-307*k**3 - 119*k**3 + 232*k**3)*(3*k - k - k)*(0*k + 3*k - 2*k).\nAnswer: -194*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.56065 in -3, 0.3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99.3 + -91. Let x = 791 + -799.1875. Let v = x + t. What is v rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3\/298, 66, -3?\nAnswer: 3\/298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -135?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265930 is divided by 6041.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m - 9*m - 6*m**2 + 13*m + (-3 + m + 3)*(473 - 76*m - 473) to i*m**2 + s + x*m and give i.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56411, 113662, 170915, 228170, 285427?\nAnswer: 342686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 0.09.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, f: 2}. Give prob of picking 1 o and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 6*q**2 - q**2)*(49 + 48 - 96) + (47 + 10*q - 47)*(4*q - 4*q + q) to j + v*q + y*q**2 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 - 43400*y - 346944 = 0. Calculate y.\nAnswer: -10842, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4.127142ms?\nAnswer: 0.0000687857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7) + (-5*sqrt(7))**2 + sqrt(7)) - sqrt(7)) + -4.\nAnswer: -354 - 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 67795?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76558542 is divided by 1077?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**6\/120 - q**4\/12 - 5*q**3\/3 - 7. Let d(r) be the third derivative of o(r). Differentiate d(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 5 - -10)\/(75\/525).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2260*s + 570. List the prime factors of v(8).\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**4 - x**3 - 12*x**2 - 5*x. Let i(f) = 3*f**4 - 3*f**3 - 42*f**2 - 18*f. Let a(k) = 5*i(k) - 18*w(k). Let a(u) = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.09, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(16\/11)*(b\/b**(-2\/3))**(-17) assuming b is positive.\nAnswer: b**(-887\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -278, -339, -400?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 4*w**2 - 2*w + (2*w**2 + w**2 - 2*w**2)*(1 - 3 + 3))*(-11*w**2 - 46*w**2 + 29*w**2) to c*w + n*w**3 + m*w**2 + j + r*w**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 = 3*u, 3*u = 25*h - 22*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3)\/(90\/756*2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 18*i + 6. Let l(q) = -2*q**2 - 32*q + 11. Give -5*l(r) + 9*v(r).\nAnswer: r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-10)*(-528816)\/(-72) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 3:18 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(850))\/(sqrt(2) + (sqrt(2) - 5*sqrt(2)*4))*-1*5)**2.\nAnswer: 10625\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 143, 238, 333, 428?\n\"Answer: 95*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhi when three letters picked without replacement from heeuhhhhuueinev.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3197, 6405, 9617, 12833, 16053, 19277, 22505?\n\"Answer: 2*g**2 + 3202*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 7 = 2*g, 0 = -4*g + 4*q - q + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p**2 + 2*p. Let w(s) = 135*s**2 + 130*s**2 - 390*s**2 + 127*s**2. What is w(x(v))?\nAnswer: 1458*v**4 + 216*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(48\/(-21)))\/(8\/(-16)). Let f(z) be the second derivative of -1\/20*z**5 + 4*z + 0 - 7\/12*z**4 + 0*z**3 + 3\/2*z**2. Calculate f(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 10. Let f(u) = -4*u + 9. Let g(k) = 6*f(k) + 5*r(k). Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -67.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/7)*n)**(-50)*(n\/(n\/(n*n**3)*n))\/(n*(n*n\/n**(-1\/5))\/n))**(14\/9) assuming n is positive.\nAnswer: n**(-3944\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -55. Suppose 11*g + 10 = 16*g. Let p be 1\/g*16\/2. Let x(s) = -s + 2. Let j(w) = -5*w + 9. Give n*x(r) + p*j(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1606462 or -1606461?\nAnswer: -1606462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**2 - 8*s - 20. Let v(r) = 2*r**2 - 2*r - 6. Let q(w) = -3*j(w) + 8*v(w). Factor q(z).\nAnswer: (z + 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*v = -133*v - 18. Let k(q) = -58332*q**3 + 0 + 9*q**2 + 0 + 6*q. Let l be k(v). What is l rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 - -57. Let k = 54 + h. What is the fourth smallest value in 2, -0.1, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Let j = 0 - -14. Let c be j\/21*42\/b. Is 7 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:19 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -669?\nAnswer: -334.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/9*(63\/7)\/(6\/(-3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11378, -45567, -102564, -182369, -284982, -410403?\n\"Answer: -11404*w**2 + 23*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 121325*p + 45199720.\nAnswer: -5*(p - 367)*(p + 24632)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4\/4 - 4*b**3\/3 - 5*b**2\/2 - 2*b - 5. Factor r(p).\nAnswer: -(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-2)*-2)\/sqrt(7) + 1.\nAnswer: -6*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92275 = -46*q - 20515. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**2 - 5\/6*m**3 - 1\/4*m**4 + 1\/60*m**5 + 0 + 0*m. Suppose 0 = 7*p - 45*p + 228. What is r(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1403?\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.257 + 0.29.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2329 is divided by 1161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3031129 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 - 5*r + 8. Let j be b(-6). Let t(v) = -v + 4*v + j - 4*v + 2*v. Give t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433403499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (710 - 712) + 51 + 3 + -1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2\/19*b**3 + 54\/19*b + 80\/19 - 24\/19*b**2 = 0.\nAnswer: -1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*h + 3*h = 110*h + 345 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1816470357 rounded to the nearest one million?\nAnswer: -1816000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78 minus 83439218.782?\nAnswer: -83439219.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 17*u**3 - 51*u**2 + 51*u. Let v(w) be the first derivative of -w**4\/4 + w**3\/3 - w**2\/2 - 1129. Calculate -51*v(d) - z(d).\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 877797017 to the power of 1\/4, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:35 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 2*g - 6*g. Let p(x) = -7*x**2. Calculate p(c(s)).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v - 34*v + 240 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 3:52 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5391 - -1664. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*i + 4*i. Which is the third smallest value? (a) i (b) 3 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 + -64 - (0 - -10 - -6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*c = -457*c + 5*t + 2, -3*c + 3*t = -18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -9) + (13 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 30. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17570, -35248, -52926, -70604, -88282, -105960?\n\"Answer: -17678*w + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10+13560096416\nAnswer: 13560096426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y. Suppose y*l = 4*l - 3*n - 103, 108 = 4*l - 4*n. Calculate the lowest common multiple of l and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533 + 1091. Calculate the greatest common divisor of 62 and l.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ny when two letters picked without replacement from {y: 7, n: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -83054?\nAnswer: 3\/83054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4113 in -0.2, 1\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37001*g*n**3 + 262*g*n**2 + 5*g*n + 3*n**2 wrt n.\nAnswer: 222006*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 13. Let y be d(-14). Put y, 2, 4 in ascending order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*k = 62, 10 = j + 2*k + 2*k. Suppose -22*v = -j*v - 24. Suppose 2*m = 2*d + v, m - d - 6 = 3*d. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 882 = 852 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -68*v - 1. Let d be c(1). Let w = d + 110. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5059 - 2851. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 255200 to the nearest one thousand.\nAnswer: 255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 144102619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5407682 litres?\nAnswer: 540.7682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 12:46 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 1014*o - 1011*o + 11, 0 = 7*o + 3*h + 41 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 6 - 3)*(2 - 2 + 2*i) + 7 + 4*i + 2 - 10 - 2*i + 0*i + i)*(6*i**2 + 2*i**2 - 4*i**2).\nAnswer: 20*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**4 + 19*i - 241*i**3 - 6*i**2 + 2 - 296*i**3 + 579*i**3 - 20*i to the form q + m*i**2 + o*i + a*i**4 + h*i**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g + 1. Let q(c) = 5*c - 12*c**2 - 3*c**3 - 4 + 4*c**2 + 3*c**2 + 2*c**3. Let k be q(-7). Let n = k + -62. Determine l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10072199 is divided by 3904?\nAnswer: 3783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s = -29*s + 3600. Let a = -230 + s. Calculate the highest common divisor of a and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-3)\/6*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*l - 21, 5*u + 4 - 5 = -l. Let y(n) = -n**2 - n. Let v be y(0). Suppose v = -3*r + r + 10. Calculate the highest common divisor of r and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 465 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-4))\/(-4 - (-20 + 23))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -59*y**3 + y**2 + y - 1. Give z(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353879633.\nAnswer: 7, 2543, 132233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133\/(-38) - (-90)\/28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 25\/9 (b) -0.04 (c) 0.4 (d) 5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 3*p - 6. Let h(d) = 2*d - 15. Let s be h(10). Let k be j(s). Suppose -o + 10 = k*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000043959 to seven decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273950809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4155 and 18282?\nAnswer: 91410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-8)\/(-2))\/(-252))\/(66\/(-396)). What is the closest to 1 in 0.4, 2\/7, z, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2131, 4240, 6333, 8404, 10447, 12456, 14425, 16348?\n\"Answer: -r**3 - 2*r**2 + 2122*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*z = -46, -5*c - 2*z + 49 = -4*z. Let g = c + -3. Let t be (-2)\/(-3) + 74\/g. Solve -7 = 4*n + t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 71.2 (b) -0.1 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24510824 and 1794.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/g**(-4)*g)**(4\/11) assuming g is positive.\nAnswer: g**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 4. Let q(c) = 2*c + 3. Let p(v) = 3*h(v) + 5*q(v). Suppose -3*o = -1 - 8. What is p(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1 + (-1)\/(-1). Suppose 0 = -j - w*b - b + 45, 4*j - 220 = 4*b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 - 7*z**3 + 2*z**3)*(-6 - 2 - 1) to the form o*z**2 + s*z**3 + h + l*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*m + 27, -5*m = 8*c - 4*c - 3. Let d = -7 - c. Let f be 2 + (-1 - -2 - d). Solve x = -4*k + f, -3*x = -2*k - 3*k + 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038556 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14106 - 14176?\nAnswer: -30304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 16?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 1:01 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.18 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33500 or 33473?\nAnswer: 33500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14442936 divided by 1805367.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by -1.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24823700 divided by 6205925?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.464408 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 10. Suppose o = 2*o - z. Suppose -p + 13 - o = 0. Solve -3*f + 6*f = -4*r + 18, 9 = p*f + r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + i**2 + 4 + (0*i + 3*i + 0*i)*(-7 + 33 - 19*i - 27))*(4 - 4 - 2*i**2).\nAnswer: 112*i**4 + 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x*x\/(x**(2\/7)*x)*x*x)\/x*x**(-1))**11 assuming x is positive.\nAnswer: x**(209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 13.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*w + 2731, 34*w = 28*w + 4*i + 4124. Calculate the greatest common divisor of 198 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-30) - 109050\/(-151500)?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a week in hours?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1576812 rounded to 4 decimal places?\nAnswer: 0.1577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:13 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -153354413 (base 6) to base 13\nAnswer: -89a43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*l - 630*l - 5*p + 2 = 0, 3*l + 2 = -5*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 6*z)*(218*z**3 + 9*z - 205*z**3 - 15*z**3 - 8*z**2 + 1) to o*z**2 + b*z**4 + w*z + r + m*z**3 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, -0.1, -2 in ascending order.\nAnswer: -2, -0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 413418 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let l(j) = j + 11. Let w be l(-6). Suppose x = -4*q - 4, -w*q + 4*x = 2 - 18. Let v(i) = -5*i - 3*i + q*i + 4*i. What is m(v(f))?\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003057 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -17603, 4, 0.0593?\nAnswer: 0.0593","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-4)*(-1200)\/(-900).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*p = -12, -2*p + 3*p = 0. Suppose 3*c + 3 = 5*x, x + 3 = -y*c - 0*c. Suppose x = g - 18 + 4. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 8*d - 12. Let y(f) = f**2 + f - 2. Let c(w) = -o(w) + y(w). Let u be c(-2). Solve 0 = 14*i - u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 3\/88, -9 in decreasing order.\nAnswer: 3\/88, -2\/25, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6121064 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6*(-3)\/((-18)\/4))\/(400\/(-15800)). Solve 0 = -19*j + 82 - w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 118. Let i be (-9)\/(-12) + (-39)\/(-12). Suppose 3*m - 8 = 4*t - 2*m, -31 = -5*t - i*m. Solve -t*b + 5 = -s*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 4*z**2 + 2*z + 2. Let t be (0 + 1)*12\/6. Calculate y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, 0.1, 2\/17 in decreasing order.\nAnswer: 283, 2\/17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 3*z**2 - 13*z - 37. Determine r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 15, 797183 in ascending order.\nAnswer: -15, 15, 797183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008933 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o. Suppose 5*v - 56475 = -0*v + 5*d, v - 5*d - 11279 = o. Suppose 4*x + v - 32499 = 0. Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + -8.86. Let g = -6 + -2. Let k = g - h. What is the nearest to -0.1 in 3, k, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528038, 528002, 527962, 527918, 527870, 527818?\nAnswer: 527762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:56 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 3*y = 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/7, -0.5, 143?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(-9 + -5 + 16)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-10)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -1, -5, 50, -57 in descending order.\nAnswer: 54, 50, -1, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z = -27*z + 1122 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-74)*9*(-10)\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.459998521 + -30.46. Round p to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001095231 to 5 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r - r)*(-5*r**2 + 2*r**2 + r**2) - 35*r**3 + 13 + 38*r**3 - 15.\nAnswer: r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128948519 to the power of 1\/3, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-448)\/70)*(2112\/(-10))\/(-11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -109218 divided by 167?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000330223 rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**3 - 3*w**3 - w**2 + 110*w - 111*w + 13. Determine o(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfffgggfgg. What is prob of picking 2 f and 1 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.052311 - -0.5.\nAnswer: 0.447689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 2*s**2. Let c(k) = k**3. Suppose 0*j - 3*j = -48. Suppose -d - 3*d - j = 0. Calculate d*c(x) - q(x).\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**5 + 3*f**3 - 11*f + 3. Let s(g) = -g**5 + g**3 + 1. Let p(c) = 2*i(c) - 6*s(c). Find the second derivative of p(t) wrt t.\nAnswer: -240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -2 - (-18)\/3. Suppose -4*w = -4*s + c, -4*w + 0*s + s = 2. Let v(d) = 2*d - 8 + d + w*d + 7. What is v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**6\/12 + 229*j**5\/40 + 2537*j**4\/32 + 2303*j**3\/6 + 2121*j**2\/4 + 198*j + 2966. Suppose d(h) = 0. What is h?\nAnswer: -44, -6, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/15*2)\/((-2)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20043*y**5 - 6*y**4 - 65*y**3 + 522871*y**2 + 779*y wrt y.\nAnswer: 1202580*y**2 - 144*y - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oflllooll. Give prob of picking 2 o and 1 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - 42 + 24 + 29 + (2 - 1 + 0)*(15*y - y - 2*y) to the form r + t*y and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.02, 0.8, -1\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -16.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5 = 0, 6*j - 3*u - 18 = -7 + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -17.8. Let k = -57.23 + 57. Let z = k + -0.07. What is the third biggest value in -3, r, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -8343 (c) 0.4 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.186 and 51.\nAnswer: -60.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 613\/386 - 210\/193. Let o(z) be the second derivative of 0*z**3 + 0 + 1\/12*z**4 - y*z**2 - 1\/20*z**5 - 3*z. Calculate o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -286*u - 3. Let t(z) = 6*z. What is m(x) + 3*t(x)?\nAnswer: -268*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -205 + 208 + 2\/(16\/(-22)). What is the nearest to -2\/13 in -2\/9, -5, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*o**4 + 3*o**4 + 3*o**2 + 12*o**4 + 6*o**2 wrt o?\nAnswer: 528*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 4*(sqrt(1331) + 2) + 5 - (-3*sqrt(11) + 2 + (sqrt(275) + 3)**2).\nAnswer: -273 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/59 - -392\/295. What is the nearest to 0 in -0.5, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 28, 70, 142, 250, 400, 598, 850?\n\"Answer: f**3 + 6*f**2 - 7*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 525 in 0.494, 0.05, 0.5, -1\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 126*w**3 + 11*w - 63*w**3 + 34 - 64*w**3 + w + 13*w**2. What is p(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(5) - (sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(4)) + (sqrt(605) - 2*sqrt(605)) + sqrt(605) + -5*(sqrt(5) + sqrt(405) + 0 + 1)).\nAnswer: -204*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2. Suppose -5*g = -4*h + 7, 3*h + 5*g + 2 = 16. Let b(x) = -6*x**2 + h*x - 3*x + 7*x**2. What is b(v(w))?\nAnswer: 25*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - c - 34, 4*v + 44 = 8*v + 4*c. Let u(f) = 3*f - 7. Let d be u(24). Solve -d*g = -62*g + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 5 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/29*2581\/(-87754)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, -2*y = 5*d + 3*y - 520. Suppose 9*c + 25 = 12*c + i, -4*c + 35 = 3*i. Calculate the highest common divisor of d and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -4234 (b) 5 (c) 33.9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 568 and 426.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38513 is divided by 32?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*t + 4*t + 7*t)*(2*t - 3*t - 3*t) + 2*t**2 - 2*t**2 + 2*t**2 + (t**2 + 2*t**2 - t**2)*(-2 + 0 + 0).\nAnswer: -182*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20421 (base 7) in base 16?\nAnswer: -1395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 3:11 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) 2\/3 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(128)*1))**2 - (-4 + (sqrt(1331) - ((sqrt(1331)*-2)**2 - sqrt(1331)))).\nAnswer: -22*sqrt(11) + 85259\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18\/5 + 59\/15. Which is the second biggest value? (a) 5 (b) -187 (c) 2 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1\/7, 7 in descending order.\nAnswer: 7, 3, 1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11049107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22848 and 2040.\nAnswer: 114240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**31)**(-7) assuming t is positive.\nAnswer: t**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 270902.352 and -0.1?\nAnswer: -27090.2352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -41 (b) 1\/20 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1 + 0.9. Let u be ((-1)\/(-5))\/((-4)\/(-12)). Let r = -5.02 + 0.02. Which is the smallest value? (a) w (b) r (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124*y - 309005 = -1239*y. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*j - 15 = -52, 0 = -2*d - 5*j - 99. Let c = d + 108. Suppose 4*z = 718 + c. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 426 and 1936?\nAnswer: 412368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*i - 1424 = 905 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 1:52 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 3. Suppose 4*c = d*x - 164, -x - 2*c - 39 = -2*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 28. Let u be f*(-8)\/128 - 14\/(-16). Factor -1\/2*a + 0 + u*a**3 + 0*a**2.\nAnswer: a*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/24 - a**3\/3 - 3*a**2. Let d(n) = -6*n**3 + 3. Calculate 2*d(k) + 3*l(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4808441 (base 9) in base 10?\nAnswer: -2604349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/22 + (-10)\/(-20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*x - 1182 = 178*x + 21162 for x.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**6\/120 - 3*b**5\/20 - 7*b**2. Find the third derivative of h(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3332203202 + -32?\nAnswer: -3332203300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -300 + 310. Let w(u) = 2*u**2 - 22*u + 27. What is w(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:02 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/12*20\/315. Let n be 1\/297 + -4 - -4. Let a = 26\/297 + n. Put a, 2, y in increasing order.\nAnswer: a, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-9)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -423234 to the nearest one thousand.\nAnswer: -423000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*c)*(0*c + 0*c - 5*c) + (4 - 18*c - 3 + 2*c)*(2*c + 4 - 4).\nAnswer: -22*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqpppqqqpqqp. Give prob of picking 1 q and 3 p.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*m - 16175 = 124*m. List the prime factors of m.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 12*o**2 + 7*o - 2. Let c be i(-5). Suppose -m - c = -3*m + x, -3*m + 395 = -2*x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15381?\nAnswer: 3, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4*(-6)\/72)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, x: 1, d: 2, f: 3, g: 2}. Give prob of picking 1 f, 2 u, and 1 g.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6043.\nAnswer: 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 18\/25, -4\/7?\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23761666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -63, -98, -133, -168, -203?\n\"Answer: -35*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 7 = -3*h + 17*j, 10 = 3*h + j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/5)*(k\/k**(5\/2))\/k*k**(-3)*k**(1\/7))\/(k**1\/k*k*k**(-1))**(-1\/3) assuming k is positive.\nAnswer: k**(-291\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 10*r**2 - 5*r - 1. Calculate the remainder when m(9) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**2\/5 + 422*i\/5 - 2856\/5 = 0. Calculate i.\nAnswer: 7, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/2688405 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-111)\/(-6))\/((-3)\/(-6)). Suppose 4*b + 3*n - c = 3*b, -3*n + 117 = 3*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/35 + (-802)\/(-5). Calculate the greatest common divisor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 15) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - 3) + (226 - 171 - 33)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 3:42 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) 5 (c) 1 (d) 2\/11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/4 + k**2\/2 - 5*k - 1. Let s be 1*(5 + -4) - 1. Calculate x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -22600, 5 in descending order.\nAnswer: 12, 5, 3, -22600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + 2 + 4 + ((sqrt(1700) + 2 + sqrt(1700))*-1 + sqrt(1700) + sqrt(1700))**2 + 5 + -3)*6.\nAnswer: 72 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*n + 24*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from yryrrry.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.1 + -92.1. Sort 4\/7, t, -2\/13 in descending order.\nAnswer: 4\/7, -2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 >= 1545\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4 + 4*r**3 - 396*r**2 + 764*r + 3080 = 0.\nAnswer: -11, -2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43906375907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))**27\/(((j*j**(-2\/17))\/j)\/j**(1\/4)) assuming j is positive.\nAnswer: j**(25\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -2\/3*n**3 + 1\/30*n**6 + 1\/6*n**5 + 0 + 0*n + 24*n**2 + 1\/12*n**4. Find p such that c(p) = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17759*f - 17721*f - 674158. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -0.2 (c) -10\/70027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/4 + (-4)\/(-16). Let u(y) be the first derivative of -2*y**2 + 2*y - y + y**2 + v. Find the first derivative of u(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*m**2 - 130*m**3 + 104*m**3 + 24*m**2 - 7*m**2 wrt m.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38867*c - 19282*c - 19590*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*i - 5*i + 22 + 34. Which is the closest to i? (a) -0.3 (b) 0.3 (c) -370 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-784)\/(-64)))\/((-104)\/(-28)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0*t**4 + 0 + 0*t**5 - 7*t + 0*t**2 - 1\/15*t**6 - 2\/3*t**3. Find the second derivative of p(o) wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 - -16282140\nAnswer: 16282142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.4999. Round i to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 2*k - k**2 + 16 - 14 as m + y*k**2 + d*k and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -38. Let c = 34 - a. Which is smaller: 2\/17 or c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9089 + 0.0911. Put d, -2\/13, 2\/5, 0.2, -3\/17 in descending order.\nAnswer: d, 2\/5, 0.2, -2\/13, -3\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -48475 and -2.\nAnswer: -48477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 15\/9502?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-h + 7*h - 14*h)*(-38*h - 44*h + 28*h) to s + k*h**2 + p*h and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101011202 (base 3) in base 12?\nAnswer: -b8b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8c (base 16) to base 3\nAnswer: -12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 20. Suppose -3*b - w = -2. Does 12 divide 4\/((8\/(-34))\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = 5*n, 5*m + 4*n + 0 - 2 = 0. Let s(t) = t**2 - 6*t + 1. Let d be s(6). Sort m, d, 1\/2 in ascending order.\nAnswer: 1\/2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = 27*x - 840. Calculate the smallest common multiple of 45 and (345\/x)\/(-3 + 63\/20).\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75))**2*-3 + -5*(sqrt(75) + sqrt(75) + -1 + sqrt(75))**2 + sqrt(75))*-3.\nAnswer: -465*sqrt(3) + 12840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 - 7.3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 4, t: 5, n: 8}. Give prob of sequence ttyn.\nAnswer: 4\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -24310608 and -4.\nAnswer: -24310612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/(-31)*((-10)\/105)\/1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**2\/3 + 104*y\/3 - 676\/3 = 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -9 - -24 - -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 7*r**2 + 7*r + 3. Calculate the remainder when u(7) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331939390*k**3 - 257747*k**2 + 378*k - 1?\nAnswer: -1991636340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**1)**(-28\/3)*v**17*v**(-1\/44) assuming v is positive.\nAnswer: v**(-223\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*x + 3 + 2 - 5.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 4*s**2 + 5*s + 2. What is f(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 401172 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by -517706.\nAnswer: -159\/517706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 125 (c) 1 (d) 0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1)\/(-5)*12\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.308*-1.0627.\nAnswer: 9.8916116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 5:07 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*l + 5*p, 20*l - 24 + 2 = 21*l - 6*p for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-182) - (5 + -3 + -6)) + 42.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120377 and 5451713?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182634?\nAnswer: 2, 3, 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8196082 divided by -6.\nAnswer: 4098041\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/34 and (-28)\/8*(-36)\/(-28).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199\/4 at most as big as -0.44033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 34915.\nAnswer: -3\/34915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 4. Solve -2*r - x = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b - -11?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5 or 7456\/15?\nAnswer: 7456\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127677854 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 519888 = 4*k - o, 5*k + 2*o = 649851. Is (-38)\/171 + k\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 5*i**4\/2 + 7*i - 10. Find the first derivative of a(u) wrt u.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 54, 98, 158, 234, 326?\n\"Answer: 8*n**2 + 4*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x + 1\/2*x**2 + 9\/2.\nAnswer: (x + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = 3. Is (-1)\/(h - (-80)\/(-79)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = -32*f - 34*f + 364 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24380435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 568296?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8) - 68\/96 - 16\/(-30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**5 - 8*c**4 + 3*c**2 - 4*c - 5. Let d(k) = -k**5 - 4*k**4 + k**2 - 2*k - 3. Let f(s) = 6*a(s) - 10*d(s). Factor f(o).\nAnswer: 4*o*(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r + 76. Let a be u(-19). Let m = -204 + a. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2173*y + 143. Let c be b(4). Suppose c = 10*z + 655. What are the prime factors of z?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 53, 30, -11, -76, -171, -302?\n\"Answer: -v**3 - 4*v + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/49*14*6\/(-10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 257524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -8\/7, 2, -2.1, -0.3, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2835\/2 + -1419. Which is the second smallest value? (a) 0.86 (b) -2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 + -1 - (-21 - -6))) + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25491 and 11427.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 8:42 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 + 9*k - 19. Let w be p(-6). Let f(u) = -u. Let d be f(-2). Suppose -3 + 6 = d*j - 3*q, 5*j - 14 = q. Sort -7, j, w in decreasing order.\nAnswer: j, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216067253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -2 + 1\/2*i - 1\/2*i**2 + 1\/6*i**3. Factor g(w).\nAnswer: (w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-1)\/(-20)*(-643 - 177)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*(n**8\/n)\/n)))\/n)**(-1\/18)\/(n**0*(n\/n**(-2\/17))\/n) assuming n is positive.\nAnswer: n**(-23\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 57.293288 and -0.3.\nAnswer: -17.1879864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/7928864 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*c = 27573207 + 2119712 - 218793. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 21. Let s be c(-9). Let q = 0.2 + 0. Let a = q + -0.4. What is the second smallest value in a, s, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -k + 15174, -4*k - 240*y + 235*y = -60652. Does 102 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*t + 2*y, -2*t = -0*t + 5*y + 9. Let g(m) = m - 3. Let b(a) = a - 3. Let c(i) = 4*b(i) - 3*g(i). What are the prime factors of c(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -189*s**2 - 33*s + 2 = 0.\nAnswer: -2\/9, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k = 65*k - 134*k + y, -4*k - 2 = 2*y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2*g + 82 - 71 = 0, -3*g - 13 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d**2 - 15*d + 101. Let q be t(7). Let k = q + -526. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112409.7 micrometers in millimeters?\nAnswer: 112.4097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/6 + 725028\/29004. Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/6 + (-3)\/6. Let y(t) = 2*t**2 + 6*t + 2. Let b be y(j). Find the first derivative of 2*q**3 + 2*q**3 - b - 4*q**2 + 4*q**2 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + p, m + 3*m = -3*p + 4. Let j = m - -3. Suppose 2*g - 1 = j. Solve 0 = a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41840 = -2*d - 733*s + 728*s, 0 = -2*d + s + 41852. Calculate the greatest common divisor of d and 558.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*x + i, 4*i + 0 = 4*x + 4. Let d = 6 + 28. Suppose x*a + d + 24 = 4*p, 2*p + 2*a - 26 = 0. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 221836 - 152253. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*z - 3 = -421*z + 2*r - 7, -2*z + 92 = -3*r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-3) + (-36)\/54. Suppose -t*y = 2*l - 156, 5*l + 3*y = 112 + 297. List the prime factors of l.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*k + 6*k. Suppose 3*v - k = 3. Let s(o) = 0*o - 8 - o**v + 9*o - o**3 + 6*o**2. Determine s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/210*b**5 + 1\/3*b**3 + 0 + 2*b**2 + 0*b + 1\/1260*b**6 + 1\/84*b**4. Let j(a) be the first derivative of l(a). Factor j(y).\nAnswer: 2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (950\/(-385) + (-4)\/(-22))*-14. Let s = j + -30. Solve -24 = -6*p - s*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-1276)\/(-957).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/3)\/(1\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -32709*s - 359793. Determine p(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119912 by -12011.\nAnswer: -119912\/12011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29960, -242322, -818738, -1941236, -3791844, -6552590?\n\"Answer: -30338*d**3 + d**2 + d + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 7*n + 4. Let o be f(-7). Let g(p) be the first derivative of -p**2 + 5*p + 1. Give g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*11\/(-2)*-8. Suppose -75 = 5*p - k. Let 2*z**4 - p*z**2 + 4 + 6*z**4 - 4*z - 23*z**3 + 7*z**5 - 3*z**4 = 0. Calculate z.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4506481 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 76*i**2 - 4*i + 12. Let y(n) = -115*n**2 + 6*n - 17. Determine -7*t(v) - 5*y(v).\nAnswer: 43*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1303 (base 9) to base 16.\nAnswer: -3cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by ((-11)\/(-10) + -1)*-4*-30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26197581 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide (-884)\/(-14)*(-81 + 102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35566 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 6.2. Let g = k - 0.6. What is the closest to 1 in -2\/11, g, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 1, i: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75451 to the power of 1\/2, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 - 384*j\/7 - 12288\/7.\nAnswer: -3*(j + 64)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343700 is divided by 9544?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnereknrnnnnkeerknn. What is prob of sequence rkr?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + f + 29*f - 2730. Calculate the highest common divisor of 112 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 6 - (-5 + 3). Let o = d + 5. Solve 1\/3*l**2 + 1\/3*l**5 + l**o + 0*l + l**4 + 0 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfwpwpphwhpww. Give prob of picking 1 f, 1 h, and 1 p.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -772 - -777. Suppose 0 = -3*o + 6*o - 5*t - 7, -o + 5*t = 1. Let r be (-112)\/(-374) - o\/22. Which is the nearest to 0? (a) 0.4 (b) r (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1274 - -235. Let r = w + 1489. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -4\/9 (b) -0.5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*n + 23514, 9*n = 4*q - 1167 - 30250. Is q a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by (-9)\/(-6) + 27\/6 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-81)*468\/(-312).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -14*l**2 - 3. Let n(f) = 27*f**2 + 5. Let s(t) = 6*t - 229. Let y be s(39). Give y*z(u) + 3*n(u).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdduuswuwdwbuww. What is prob of sequence dvws?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12381143?\nAnswer: 193, 64151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - i**3 - 2*i**3 + (i**2 + 2*i**2 - 2*i**2)*(-i - i + 0*i) - 7*i**3 + 3*i**3 - 8*i**3 as n*i**3 + x + s*i + k*i**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + k - 2. Let w(r) = 23*r**2 - 9*r + 104. Calculate -9*q(h) - w(h).\nAnswer: -5*h**2 - 86","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -238*m**3 + 9*m**2 + 19*m + 1. List the prime factors of j(-2).\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3\/23, -2319, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (31 + (27 - 1) + -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 16*p + 1. Let x be u(-16). Suppose 4*m + 5*w = -8, -w + 3 - x = 2*m. Solve -2*a + 22 = 4*c, -15 = -2*a - m*c + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 4065165.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -350 + 349.8. Which is the biggest value? (a) -2\/13 (b) 1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 13 = -12*f - 72, 0 = -22*f - 3*f + 27*f - 5*i + 89 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.8 and -6995515077.\nAnswer: -6995515075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211354 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011000001001101001 - 101010011?\nAnswer: -1000011000001110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/22*3 + -5*(-8)\/(-20).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004792 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9485, 18894, 28303, 37712, 47121?\nAnswer: 56530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**3 + 11*i**2 + 6*i - 7. Let g(m) = -2*m**3 - m**2. Let v(l) = 6*g(l) + x(l). What is v(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 261 = 256 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209638 + 253802 + 121632 = 16252*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 - 68. Let g be (-4 + (-36)\/(-8))*94\/1. Suppose -f = 2*n - 51, 0 = 3*n + f - g - 31. Calculate the greatest common factor of r and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 2*u - u**2 + u**2 - u**2.\nAnswer: -2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-324)\/20)\/(-9)*1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (463\/(-3))\/((-12)\/9 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 302.91 + -310. Let d = h + 7. Let n = d + -0.01. Which is the nearest to n? (a) 2\/23 (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/145 and -23\/386280?\nAnswer: 386280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -39820, -4, 7\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*t = 36, -57 = 4*s + 10593*t - 10598*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000609249 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11311101 (base 6) to base 13\nAnswer: -c3c91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67852 or 0.10488?\nAnswer: -67852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 133791.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-70)\/(-4 + -3) - 6. Sort m, 8, -2 in ascending order.\nAnswer: -2, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 2*l - 5*l)*(5*l**4 + 3*l**4 - 10*l**4) - 3*l + 2*l**5 + 3*l + 12*l**5 - 62*l**5 - 6*l**5.\nAnswer: -58*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 96. Let l = 140\/3 - o. Which is the closest to l? (a) 2 (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {g: 6, v: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1816227081884 + 1816227081884 + 253*s.\nAnswer: 253*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 15*z = 184. Let u(q) = 4*q - 9. Let h(s) = 5*s - 9. Let p(n) = 2*h(n) - 3*u(n). Calculate p(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8692*s + 8700*s + 80 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/12)\/(6\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 20*g + 104. Let z be n(-4). What is the greatest common factor of z and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + c**2 - 2*c**3)*(-5 - 9 + 0).\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-seven halves of a millisecond?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -3) + -3 + 7 + -4. Suppose -i - s*w = 0, -3*w = -3*i + w + 10. Suppose 3375 = -u - i*t + 3*t, 5*u = -5*t - 16925. Round u to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) -0.62 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7457000 to the nearest 100000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 12*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 29330. What is x rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**5\/20 + c**4\/4 + 5*c**3\/12 + c**2\/4 - 482. Determine o so that a(o) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.87 centuries in years?\nAnswer: 28487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143039413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*m + 3*m, 3*z = 5*m + 40. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s - 7*s - 3*s + 4*s + (-5*s - 2*s + 5*s)*(1 - 2 + 0) - 3*s + 5*s - s.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-4))\/(31\/(-62)). Solve -86*b + 84*b = a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 + -3.5. What is the nearest to 2 in 1, 4, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i - 3*i**4 + 0*i**4 + (-i**2 - i**3 + i**2)*(-2*i - 3 + 3).\nAnswer: -i**4 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 + 3*2\/3. Let w be (-6)\/v*(-5)\/(-2). Suppose -6 = -q - w. Solve q*n + 8 = -2*b + 3*n, 0 = 2*n + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 83, 103, 123, 143, 163?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b - 17*b + 17*b + 31. Let n be a(-6). Let q = n - -43. Solve -w = -q + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1900) - (sqrt(1900) + -3)) + 0)**2 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -2252?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10932 - 6588. Is f at least as big as 4341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 187, 171, 145, 103, 39?\n\"Answer: -s**3 + s**2 - 12*s + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129856?\nAnswer: 2, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1089745 = -102*m + 2917733. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -4794584, 4 in descending order.\nAnswer: 4, -21, -4794584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/84*-4)\/((-30)\/(-1155)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*j**6 + 2*j**4 + 6783*j**3 - 34434302*j**2 wrt j.\nAnswer: -1680*j**3 + 48*j + 40698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228858 is divided by 20335?\nAnswer: 5173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 41*m - 8 = 0, -4*i + 4*m = 36 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 208739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**3 - 5*g**3 + 17*g**2 - 2*g**3 + 20*g**2 + 5*g**3 + 5 to l*g**3 + r*g + f + a*g**2 and give a.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 - 99860*z**3 - 1298945*z**2 - 1599760*z + 19185600 = 0. Calculate z.\nAnswer: -8, 3, 19985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 274950 divided by -19?\nAnswer: -274950\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-825 + 24*q - 990 - 24*q - 3*q**2)*(q - 4*q + q).\nAnswer: 6*q**3 + 3630*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*n = 6*j - 27, j = -5*n. Let f be 5 - 5 - (0 + 0). Suppose -3*d - 15 = 0, -j*p - d + 65 = -f*d. 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 m = 165 + -151. Suppose m*x + 1620 = 20*x. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12881 + 2*w**2 + 25826 - 12907 - w**4 + 3*w**4 to a*w**2 + y + j*w**4 + o*w**3 + f*w and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*s**3 - 1 + (2*s - 2 + 2)*(0*s**2 - 3*s**2 + 2*s**2))*(-17*s + 36*s + 36*s).\nAnswer: 110*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-15))\/(5\/9060).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 3*l**2 + 7*l - 8. Let p be s(4). Solve 0 = p*r - z - 4, -5*r - 3*z = -z - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -5.5. Put z, 2\/3, -2 in decreasing order.\nAnswer: 2\/3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -54*l - 309. Let c(v) = 11*v + 64. Let u(k) = -29*c(k) - 6*o(k). Let j(a) = 16*a - 6. Calculate -3*j(n) + 10*u(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w + 32*w = 42 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7 - (-21 + 25) - -2) + -2 + 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1 + -6) - 13\/390\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30832 - 9222 = -884*j - 31430 for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61.150885 * 5.\nAnswer: 305.754425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1359)\/755 - (-1)\/(10\/(-212)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 + 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and (1 + -47)\/((-1)\/2)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1426186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5350250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 0)*(0*f + 0*f + 3*f)*(2*f + 3 + 9 - 10) to the form m*f**2 + r*f + y and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)*k)**(3\/2) assuming k is positive.\nAnswer: k**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by 1\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/9)*h**2*((h\/h**(-7))\/h)\/h**(-3\/5)*(h\/(h*h*h\/(h\/(h\/h**2))*h)*h**7)\/((h\/(((h*h\/(h*h**(-1)*h))\/h)\/h*h))\/h**(2\/7)) assuming h is positive.\nAnswer: h**(4619\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 7. Let f be g(-6). Let m(z) = -z**3 - 4*z**2 + 2*z + 5. What is the units digit of m(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 16. Let f be p(8). Let q(c) be the third derivative of 0*c + f*c**3 + c**2 + 0 + 1\/24*c**4. Let u(s) = -s. Calculate q(u(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 18*l - 15. Let w be x(13). Suppose 47*p - w*p = -12. Solve 0 = i + p*z + z - 19, 2*i = 2*z + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 5*m + 0*m**3 - 3\/10*m**5 - 7 + 5*m**2 + 0*m**4. Let r(g) be the first derivative of t(g). Differentiate r(z) wrt z.\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.4, -0.04, -11, -0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -13, 45, 32, 71, -5 in increasing order.\nAnswer: -13, -5, 1, 3, 32, 45, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:48 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -51.4*15474\nAnswer: -795363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (10 - 18)*(2 - 1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 3\/8, -4, 0.3, -2 in decreasing order.\nAnswer: 3\/8, 0.3, -2\/7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -21 + 0*m**4 + 0*m**2 + 0*m + 32\/5*m**5 - 28\/3*m**3. What is the third derivative of j(k) wrt k?\nAnswer: 768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**2\/3 - 36*t + 200\/3 = 0. What is t?\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -4311.\nAnswer: -862.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 106*h**2 - h. Let u(k) = -511842*k. Give b(u(p)).\nAnswer: 27770116694184*p**2 + 511842*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -755*w + 17 - 8 - 10 - 1116*w.\nAnswer: -1871*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 1, -1275, 5, -5 in descending order.\nAnswer: 54, 5, 1, -5, -1275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 4)\/(-10)*(1 - 5). Let d be -4*(-1 + (x - -4)). Let h be (-9)\/162*(1 + d). What is the smallest value in h, 15, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311835282.\nAnswer: 2, 3, 11, 131, 36067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3.357mg?\nAnswer: 0.000000003357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.6832 minutes to days.\nAnswer: 0.61853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -25. Let b = y + 26. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*y**2 - 4*y**2 - 3*y**4 - 2*y**3 + 4*y**2 in the form l*y**2 + a*y**3 + s + r*y + z*y**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 880 and 20.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19474*1 + (-1)\/((-7)\/(-28)). What is z rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30.5 + 24.31. Let s = -1.14 - i. Let l = s + -0.05. Sort l, 3, 2 in decreasing order.\nAnswer: l, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1844*r**2 - 55*r + 104. What is the tens digit of d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*40\/75)\/(4\/(-20))*1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -158 + 446. Let z = 103 - o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + -2)))) + sqrt(1100) + sqrt(1100) + -5 - (-3 + 2*sqrt(1100)) - (sqrt(1100) + 1)*2*4)**2.\nAnswer: 1920*sqrt(11) + 70544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(84\/35)*12\/10. What are the prime factors of 0\/(-2 - j) - -283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.7 + 60.7. Let y = 57 - z. What is the second biggest value in y, 2, -2\/3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3496*i + 3 + 3489*i - 3. Let d(c) = 5*c**2. What is d(v(g))?\nAnswer: 245*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 23 (b) 6 (c) 13 (d) 2 (e) -264\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 1:36 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.6. Let i = 1219\/5 - 244. Sort a, 0.2, i in decreasing order.\nAnswer: 0.2, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 5*b - 55, -b + 27 = 4*r - r. Let g = r - -151. What are the prime factors of g?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426 divided by 90954.\nAnswer: -71\/15159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 6, -380 in ascending order.\nAnswer: -380, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p = -55*p + 40 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828766 to the power of 1\/2, to the nearest integer?\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2587, -4554, -6521, -8488, -10455?\nAnswer: -12422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12307 (base 10) to base 7.\nAnswer: 50611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 7\/5, -6\/11, 74\/79 in increasing order.\nAnswer: -6\/11, 0.07, 74\/79, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:27 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-8 + 10)) + -2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65747879, 131495764, 197243649, 262991534, 328739419?\n\"Answer: 65747885*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.66*1.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**3 + 11*f**2 + f - 11. Suppose 2*k = 5*y - 8, 0 = 4*y - 0*y. What is the tens digit of n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 8, g: 2, z: 1, k: 2, m: 4}. Give prob of picking 1 k, 1 z, 1 g, and 1 m.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by 14.\nAnswer: -83\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1248 by -416.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9634 is divided by 214.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -1. Suppose i + i - 5*f - z = 0, 3*i = -2*f + 110. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 269.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 27 = 9*u - 81 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(2*x + 3 - 3) + (-1 + 1 + x)*(4 - 3 + 1) - 2 + 2 + 3*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-10))\/(2\/5*1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 5, x: 3}. Give prob of sequence yyee.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 418, 1\/8, 2\/7 in descending order.\nAnswer: 418, 2\/7, 1\/8, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210810269.\nAnswer: 179, 1177711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 429\/44*(-576)\/(-6552).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 3 - l**2 + 2 - 5. Let h be 0 + (-1)\/(-1 - 0). Let i be (-1 - 1) + (-2)\/h. Calculate j(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.1 (c) -102 (d) 4 (e) -2\/3 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-10)\/14 - -1). What is the common denominator of -49\/4 and (-18)\/(-35)*g\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 582 = -0*s. Let b = 598 + s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25271601 plus -0.16?\nAnswer: -25271601.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735049?\nAnswer: 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 4*q - 48 + 16, -4*c + 4*q + 44 = 0. What is the remainder when c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1167*p - 36610. Calculate k(28).\nAnswer: -3934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*p - 416804 = -414048 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(66)*-1)\/((-2*sqrt(42))\/sqrt(7)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 4*f**2 - 10*f - 2. What is t(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 78 - 69 - 31\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by -1982706\nAnswer: -21\/660902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 33528 divided by 3048\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1855741*h**3 - 927874*h**3 - 927871*h**3 + 6.\nAnswer: -4*h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**7\/350 + z**5\/100 + 17*z**2 + 2. Factor w(h).\nAnswer: -3*h**2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 11 = 2*q - 127, -3*q = 5*v - 230. Let a = -26 + 52. Calculate the remainder when v is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1830.72027 - 1.04027. Round f to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 107 = m + 3, 5*z + 312 = 3*m. What is the remainder when m is divided by 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14922.5, -1, -2\/15 in descending order.\nAnswer: 4, -2\/15, -1, -14922.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 206000?\nAnswer: 206001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/4)\/p*p**1)**(3\/43))**40 assuming p is positive.\nAnswer: p**(90\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/7 - (13 + -12). Let l = 1944 - 1942. Which is the nearest to 5? (a) -1\/7 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11231 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00118652 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3521295 divided by -9\nAnswer: -391255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201 - -112. Let c = 89.37 + w. What is c rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32104899 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: Put 0, 0.1, 5, 15\/4, -0.4, 2\/11 in descending order.\nAnswer: 5, 15\/4, 2\/11, 0.1, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -10658*p**3\/13 + 1387292*p**2\/13 - 227832*p\/13 + 720 = 0. Calculate p.\nAnswer: 6\/73, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3486.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 30123?\nAnswer: -30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3629662 and 61\/4118?\nAnswer: 105260198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11\/(-2) + 7)\/((-2)\/(-20)). Let c be (-90)\/d - (-1 + -6). Solve -4*h = 1 + 3, -2*w + h + c = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11738471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 11:45 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(1900) + sqrt(1900) + -3 + -2*sqrt(1900))**2.\nAnswer: 300*sqrt(19) + 47509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/57 bigger than 692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -917\/6 - -15133\/102. Is 1 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -33. Let x = b - -24. Let m = -14 + x. Sort -2, -5, m.\nAnswer: -5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0897666 minus 223?\nAnswer: -223.0897666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*p = 17, 0*u + 3*p = -3*u - 12. Let h be 2*-1 + (-4)\/u. Suppose 27 - 73 = -h*c. What is the remainder when c is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10124424 + -110?\nAnswer: 10124314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 2, -1.9 in increasing order.\nAnswer: -1.9, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 740 + -512. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*-4*sqrt(539))**2 + 5.\nAnswer: 896*sqrt(11) + 138005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -5*s**4\/12 + s**3\/2 + 19*s**2\/2 - 5*s + 16. What is the first derivative of r(l) wrt l?\nAnswer: -10*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97329 (base 15) to base 13\nAnswer: 13a604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 - -291. What is the smallest common multiple of (t\/(-12))\/((-7)\/168) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y**(-2))\/(y*y*y*y**(-1)\/y*y*y\/(y**(-2\/7)\/y)) assuming y is positive.\nAnswer: y**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8633, 17265, 25897, 34529?\nAnswer: 43161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 - 681*t**3 - 1968*t**2 + 10716*t - 8064 = 0. What is t?\nAnswer: -224, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:46 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*v + 1 = 0, p - 2*p + 5*v = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207416556.\nAnswer: 2, 3, 1091, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -10. Let q = -20 - u. Solve -5*d - q = 3*k + 19, -4*k = d + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168137497 - 91*v**2 + 92*v**2 - 168136891.\nAnswer: v**2 + 606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4939814650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00080163 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 - (-56)\/16. Let o = l + -5. Sort 3, -2, o.\nAnswer: -2, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.3, 36.59, -10\/9, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/18 and -17\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31753 divided by -31753.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -210253881\nAnswer: -2\/210253881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(2*r - 2*r + 2*r) + 0*r + 3*r - r + (r + 2 - 2)*(18054 - 3250 + 7115) as b*r + x and give b.\nAnswer: 21917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -9 - -3) + 3 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2*k**3 - 4*b**2*k**2*o - b**2*k**2 + 2*b**2*k - 2*b*k**4 + 76*b*k**3*o + k*o - 129 wrt k?\nAnswer: -24*b**2 - 48*b*k + 456*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236.1 + -237.1. Which is the smallest value? (a) 2.3 (b) n (c) -0.6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a factor of 583905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 9*y - 2. Determine z(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2.62.\nAnswer: -0.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -55150000 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 20. Suppose -w + 12 = x + 3*m, 4*m + 12 = -4*x. Does 14 divide 16\/(-64) - 226\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, -1\/4, 40.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 39. Let l be 0 - -6 - (0 + 1). Suppose -4*u - l + 17 = c. Is 3 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1\/7, -0.023, -2\/7, 12, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1653 + -10230. List the prime factors of 3\/4 + (-7 - z\/12).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0*l - 3*l)*(9 - 2 - 5) + 4 + l - 6 + 0*l.\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1 - 11)*-4)\/(24\/32). Suppose 7*q = 6*q. Does 14 divide (z + q)*147\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 87 + 62 = 5*x, -3*x - 7*w - 19 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.299 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*m = 7, -5*m + 7 = 27. Suppose 3*r = -x - 26, 59 = -5*x + 5*r + 9. Let b = 18 + x. Solve j*l + 3*k - 5 = -2, 3*k - 17 = b*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -433 - -441. Let n = -2 - 0. What is the nearest to 2\/3 in -2\/15, n, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -4 (c) -0.3 (d) -1 (e) 3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(343) - -2*sqrt(343))**2 + (-1*sqrt(7) + sqrt(7))*-5 - (-5 + (sqrt(1008)*-1*-2 - sqrt(1008))**2))*-5.\nAnswer: -41680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millisecond in microseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 11:15 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -76*f**2. Let j(u) = -547 + 13*u - 14*u + 547. Calculate j(q(r)).\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 + 2*f**5\/15 + f**4\/4 + f**3\/2 + 3*f**2. Let t be a(-7). What is the derivative of -t + 6*k + k + 2 + k wrt k?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00584751129 to seven dps.\nAnswer: 0.0058475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.7. Let q = l + -0.5. Which is the third biggest value? (a) 0.06 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbqq when four letters picked without replacement from rqqbbqqn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28067 - 8147. Is 60 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**(2\/11)*l*l*(l*l*l*l\/l**4*l)\/l*l*l*(l*l\/(l\/l**3*l))\/l*(l\/l**(4\/9)*l)\/l*l**4*l\/(l*(l*l**(3\/2))\/l)*l*l*l\/l**(3\/5) assuming l is positive.\nAnswer: l**(11413\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21087 divided by 71?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(324)\/sqrt(24) - sqrt(54))\/sqrt(9))\/(-4*sqrt(50) + sqrt(2) - (sqrt(288)*1 + sqrt(288))).\nAnswer: -5*sqrt(3)\/86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 7. Let h be z(5). Is (-18 - h)*(-1)\/2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*v - 346 = 5*u - 1, -3397 + 3347 = 2*u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9764.072 nanograms to tonnes.\nAnswer: 0.000000000009764072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7\/6)*k**(5\/3)*k*k**(-1\/6)*k*k**6*k assuming k is positive.\nAnswer: k**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/(1230\/738)*(-204)\/54?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56877 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yffe when four letters picked without replacement from {f: 9, e: 2, w: 3, y: 4}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 282?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 4 (b) 10\/37 (c) -39 (d) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 6437. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**3 + 3*t - 9 - t**3 - 1162*t**2 + 1160*t**2. Let o be v(6). Let m = o - -1342. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 2932 = -3118 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 15.4. Let r = -64 + 44. Let h be r\/(-14) - (0 - -1). What is the smallest value in -0.2, n, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -152964*b**2 + 29743. Let u(f) = -5*f**2 + 1. Determine 3*d(j) - 89229*u(j).\nAnswer: -12747*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 171, 264, 357, 450, 543?\n\"Answer: 93*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/6 and -51 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 16*q**2 + 14*q + 54. Let y be r(17). Let f = 6 + -1. Let u(k) = 2*k. Let p(w) = -3*w - 1. Give f*u(g) + y*p(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -737, -1462, -2201, -2960, -3745, -4562, -5417, -6316?\n\"Answer: -l**3 - l**2 - 715*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvhhgjvrhhp. Give prob of sequence vj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from zvzzzzzzzvzzzzzzvz?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1306284, 1306280, 1306276?\n\"Answer: -4*n + 1306288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/35*(-425)\/(-119)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*i = -61*i - 4864 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9171.99 micrometers to millimeters.\nAnswer: 9.17199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + p**4 - 8*p**3 - 2*p + 23*p**2 + 9*p**3 - 2 to the form u + m*p + k*p**3 + c*p**2 + w*p**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.1, 0.9, 4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772653 is divided by 92?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*s**2 - 32*s**2 + 2 - 13*s**3)*(62 + 98 - 34) + 0*s**3 + 3*s**3 - 2*s**3.\nAnswer: -1637*s**3 + 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a28a5 - -134?\nAnswer: -a2771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m + 14*m + 11*m)*(-2173 + 29*m**2 - 62*m**2 - m + 2173).\nAnswer: -594*m**3 - 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 3*t - 104. Let p(o) = o**2 + 4*o - 103. Calculate -4*b(k) + 3*p(k).\nAnswer: -k**2 + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z = -9. Let n be 2 - (1 + z + 0). Suppose b - 3*h - 11 = 0, -n*h + 29 - 9 = 0. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 9. Let v be h(3). Suppose -d - 179 = -b - v*d, b = 5*d + 186. What are the prime factors of b?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7686629 is divided by 10208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/336 and 79\/89208.\nAnswer: 178416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-25)\/(-2) - (3 - (-10)\/(-4)). Let r be (-16)\/p*(21\/(-6) + 2). Solve -4*z - 16 = 0, -d + 21 = -r*d - 5*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3 - 18943*n**2 - 1711570*n - 26646200 = 0.\nAnswer: -70, -20, 19033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*o**3*y - 5*f*y - 12*o**4*y**2 + 2*o**4 + 4*o**2*y**2 + 2*y**2 wrt o?\nAnswer: -12*f*y - 288*o*y**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61264 and 4144?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 478 + 475. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 4:50 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2491266 divided by -6\nAnswer: 415211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*v - 4, 0 = 4*v + 3*p - 11 - 1. Let n(c) be the third derivative of 7\/30*c**5 - 10*c**2 + 0 + 1\/6*c**3 + v*c + 1\/24*c**4. What is n(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17611.\nAnswer: 11, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 4. Let f(o) = o - 1. Let p(l) = 6*f(l) - 3*i(l). Let c be p(6). Suppose 0 = 3*s - c. Calculate the highest common factor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) 25 (c) 1 (d) 2\/127 (e) 0.1 (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -29*u**3 - 6*u - 8. What is the hundreds digit of q(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 534613.4 and -0.14.\nAnswer: -74845.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 502*k - 3011. Let s be r(6). Put s, -842, -1 in descending order.\nAnswer: s, -1, -842","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158126?\nAnswer: 2, 3, 19, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/((-54)\/(-60))*23\/23?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-28)*(34\/(-391) + 1047\/6486).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (-3 + 0)) + 2. Suppose 2*i + a*i = 0. Suppose i*n - n + 31 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(2007\/(-252) - -8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -106\/7, -199, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 5. Let w be j(-5). Let q = 3 - 5. Which is the nearest to q? (a) 2 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + 19. Suppose 5*s - 2*w = 53, -s - s + 2 = 4*w. Suppose -2*q + 4*c = -j, c + 4*c + s = -q. What is the remainder when 32 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-100)*(24\/3 + 0). What is the nearest to 0.1 in 5, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766710649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) - 5*(sqrt(2)*-1 + sqrt(2)) - sqrt(2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -897 + 3*r + 813 + 0*r as j + n*r and give j.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 + -10101200101202?\nAnswer: -10101200110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**3 - 25*b**3 - 29*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2559)\/126 + (0 - -2). Let s = -38352\/7 + 5493. Let w = m + s. Calculate the common denominator of w and -36\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*z + 243 = -1803 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sziz when four letters picked without replacement from {m: 2, w: 1, s: 4, i: 2, p: 6, z: 2}?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q**4 - 35*q**4 + 170*q + 15*q**4 + 14*q**4 + 14*q**4 - 9503 wrt q.\nAnswer: -12*q**3 + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 6:01 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1872) - (0 + sqrt(1872))) + sqrt(1872) + sqrt(1872)*-4*2 + (3*sqrt(1872)*-3 - (-5 + 2 + sqrt(1872))).\nAnswer: -204*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -1081*a**6\/40 - 129*a**5\/4 + 2878*a**2. What is the third derivative of j(u) wrt u?\nAnswer: -19458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 5, t: 1, f: 2, c: 1, v: 1}. What is prob of picking 2 f and 1 t?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*q**4 - 10549*q**3 - 2*q**2 + q - 1098478 wrt q.\nAnswer: 8*q**3 - 31647*q**2 - 4*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1482*a**2 - 6*a + 3. Let h = 190 + -188. Is x(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 628*h - 816*h - 709*h - 573*h to l + a*h and give a.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 9*m = -35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/270 - 19\/((-17442)\/(-986)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57541300 + 5?\nAnswer: -57541284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*m - 250 = 0, 2 = 2*m - 8. Let s = p + 75. Let q = -0.3 - 0.2. Which is the nearest to s? (a) q (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - -2 - (-3)\/((-18)\/(-174)). Let s(j) = 14*j - 467. Give s(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117 + -41. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734941461 less than 357?\nAnswer: 734941818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 390157 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1887 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*t - 60 = 0, 6*h + t - 3 + 58 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 52621?\nAnswer: 52616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**3 - 243*x**2 - 495*x - 249 = 0.\nAnswer: -1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4259 + -12778\/3. Let t = 4.8 + 0.2. Sort g, -3, t, -1 in decreasing order.\nAnswer: t, g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(2736) + -3*sqrt(2736))**2) - (sqrt(76)*2*4)\/(sqrt(4) - (sqrt(4) + sqrt(8)\/(sqrt(4)\/sqrt(2)))).\nAnswer: 8*sqrt(19) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*g - 4*g + g)*(-2 + 3 - 3) - 484*g - 730*g + 1644*g)*(-1 - 4 + 1) in the form x*g + z and give x.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 2. Let v be h(-2). Suppose -4*i - i = -2*m + 22, -44 = -v*m - 5*i. Suppose f + 2*z = -5, 5*f + 2*z = 4 + m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 633*h + 1791. Is j(15) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 24 = 2*c, 3*c - 3*q - 17 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -43. Suppose 2*f - g*f + 8 = 0. Solve 0 = -2*r - 6 - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161479 or 161481?\nAnswer: 161479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let h be (168\/294)\/((-8)\/28). What is the third smallest value in h, b, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**4\/24 - i**3 + 3*i**2. What is a(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.96 - -3.76. Which is bigger: g or -445?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3422 + 14?\nAnswer: -3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -863*a**2 - 691830 + 691830 to n*a**2 + x*a + m and give n.\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -17. Let g be 3 - ((-3 - -1) + i). Let a(q) = q**2 + q - 1. Let z be a(2). Sort z, g, 0.\nAnswer: g, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*n + 296*n = -20*t + 42, -5*n + 54 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 4, f: 1, g: 3, a: 2}. What is prob of sequence iss?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-12)\/18*6. Which is smaller: a or -0.13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -378500 to the nearest one thousand.\nAnswer: -379000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.02664*0.061\nAnswer: -0.00162504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(2 - 8\/3). Suppose -3*n = -x*n - 6. Suppose -c - 5*l + 5 = 0, -2 = n*c - 2*c - 2*l. Solve -4*j - 2*b + 1 = -7*b, c = 2*j - b - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643201259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4364626 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 676261 to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2526487308, -2526487307, -2526487306, -2526487305?\n\"Answer: v - 2526487309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-352)\/214)*6. Let b = 29\/2 + f. Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-286)\/26 + -19?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877*j + 7601 + 59518 + 31177 = 3111*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359301163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + 5 + (-1 + sqrt(2057) + sqrt(2057))*-6 + 0 + -3)**2.\nAnswer: -1848*sqrt(17) + 296257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2, 44\/5?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2*((-6)\/(-20))\/(15\/(-975)*-15).\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rllllblrxllllllllbl. Give prob of picking 3 l.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*t + 3626331 - 3647307 = 0 for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14446.3444 rounded to 0 dps?\nAnswer: 14446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*u = -22, 15 + 7 = -6*l - 4*u for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Suppose 0 = u*b - 4 - 5. Suppose -b*h + 22 = -y + 2, y = -h. Put h, -1, 3 in increasing order.\nAnswer: -1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75 + 54 - 51)*(5 - 2 - 2)*(-21*y + 1945 - 1945) to the form s + z*y and give z.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -639*z. Let x be g(-1). Suppose 0 = 2*j - 4, 3*j + x = -3*q + 6*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 4*d**2 - 8*d + 3. Let a(h) = 3*h**2 + 14*h + 9. Let n be a(-3). Give p(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0156199 millennia?\nAnswer: 15.6199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 18*n + 12. What is the units digit of r(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 90*m + 17. Let v be c(13). Solve v*l = 17*l + 39 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -15*k + 6*k**2 - k**3 - 5*k**2 - 11*k**2 - 5*k**2 + 13. What is the tens digit of f(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1404036 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031 - 100?\nAnswer: -2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: What is the product of -10.108 and 0.1?\nAnswer: -1.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2791 - 5?\nAnswer: -2796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33368 by -6.\nAnswer: -16684\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -5.9, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 3*o + 4*r - 19, -4*o + 2*r - 76 = 0. Let l be (-15 - o) + (-1 - 3). Let z be (l - 5)*(-6)\/(-156). Put 15, -2\/7, -0.4, z in increasing order.\nAnswer: -0.4, -2\/7, z, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446015 a multiple of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291502024 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 2*k. Let u = 4 - 2. Suppose 0*l = -a + u*l + 7, -2*a - 2 = 4*l. Suppose a*t = 4*g + 2, t + 5*g = 3*g + 4. Give s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + (4 - 1 - 1)*(0 - 4 + 5) + 2 - 2 + 3)*(-2739*q + 2742*q - 3 - q**2 + 3*q**2).\nAnswer: 6*q**2 + 9*q - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = k - 15, 2 = 4*k + 4*c + 6. Suppose 27 = k*y - 2*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -4, 4, 13, -0.3, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 79 = 53*f. Let j(c) = c**3 - 8*c**2 - 15*c + 6. Let h(u) = u**2 + u - 1. What is f*j(d) + 6*h(d)?\nAnswer: d**3 - 2*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**2\/2 - 13*y + 34. Let u(d) = 2*d. Give u(q(l)).\nAnswer: -2*l - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50543*i**5 - 64*i**2 + 64*i + 3?\nAnswer: -3032580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 210457486?\nAnswer: -210457500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - o)*(2 - 2 - 2 + (1 + 3 - 3)*(3 - 1 - 1) - 1 - 1 + 1 + 0 - 2 + 0 - 112 + 115 + 47).\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3539 + -3537. Let j = 0.17 - -0.03. Put j, 6, -6, r in increasing order.\nAnswer: -6, j, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572353 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -489 - -707. Let m = 246 - p. Solve 0 = 23*k - m*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -802*g**2 + 2*g - 1. Let f(w) = 805*w**2 - 4*w + 1. Determine -2*f(a) - 3*n(a).\nAnswer: 796*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -715075 (base 10) to base 2\nAnswer: -10101110100101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 124473*j + 124483. What is a(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 - 4*i + 757. What is the hundreds digit of s(30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 90825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 4*z - 47. Let p be t(-7). Suppose 26*i = p*i. Let u(n) = -n**3 + n**2 - 1. Determine u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbbb when four letters picked without replacement from bbbppbbbbbbb?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o - 2*y - 9 = 24*o - 38*o, -5*o = 2*y - 81 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 4)*(19*n - 30 + 30)*(-292*n + 26*n**2 + 292*n) + 11*n**3 - 9*n**3 - 13*n**3 to the form c*n**3 + t + r*n + g*n**2 and give c.\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29097 and 18.\nAnswer: 58194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 717216*j. Let d(x) = -5*x**2. Calculate r(d(n)).\nAnswer: -3586080*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, o: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2310111 (base 4) to base 10\nAnswer: 11541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-136))\/(15\/1020).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -562*j + 106. Is r(-3) a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 2, t: 2}. Give prob of picking 1 a and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9, -5\/2, 2.8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)\/(n**(-2\/9)\/n))\/(n**(2\/3)*n*n)**36*(n\/(n\/n**(4\/9))*n**(2\/21))**(3\/46) assuming n is positive.\nAnswer: n**(-273115\/2898)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86 * 0.06\nAnswer: -5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8*r**2 - 10*r + 638. Give d(13).\nAnswer: -844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 7) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -522, 5, 3 in increasing order.\nAnswer: -522, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 30*t + 154. Calculate r(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -49*f. Let z(x) = -88*x - 2*x**2 - 2*x**2 + 88*x + 2*x**2. Give t(z(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 4*p - 3*p)*(2 - 4 + 5)*(6 - 21 + 4).\nAnswer: -33*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2106898 = 34*l - 293*l + 662330. 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: What is the hundred thousands digit of 800888470?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -92. Suppose -3*a - 2*i + 1207 = d*i, i + 1981 = 5*a. Is 33 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = 5*h - 1564, -2*t - 4*h + 1562 = 0. Is t a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4919.95*43.\nAnswer: 211557.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -42. Let s = l - 15. Let o(b) = 3*b**2 - 2*b - 1. Determine o(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.2? (a) -8 (b) 7 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1201746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*l - 263 = -l, 0 = -2*t + l + 173. Let s = t + -81. Suppose 17 = s*b - 3. What is the remainder when 7 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1400644 and 2801288.\nAnswer: 2801288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 115137*2\nAnswer: 230274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 9:25 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29458538\/1123 + 26232. Is 1 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2. Let f(z) = z**3 - 16*z**2 - 35*z - 1. Let y = 33 - 15. Let d be f(y). Let u(l) = -12*l - d*l + 9*l. Give v(u(a)).\nAnswer: 1200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(6) + sqrt(66)\/(sqrt(11) - sqrt(275))))\/(sqrt(900) + sqrt(900) + sqrt(900) + sqrt(900)*3 - -1*sqrt(144))*4.\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -526a005 (base 11) in base 7?\nAnswer: -141613336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/20*5\/1. What is the common denominator of t\/9 + 237\/(-18) and -2 + -2 + 23 + (-1)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 0*r + 2\/21*r**8 + 0*r**6 - 23\/24*r**4 + 0*r**3 + 0*r**5 + 0*r**7 - 38*r**2 + 0. Find the second derivative of p(u) wrt u.\nAnswer: 640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*w**2 + 188*w**2 - 398*w**2 + (14*w + 59*w - 143*w)*(3*w + 3*w - 5*w) to q*w + d*w**2 + r and give d.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 5:42 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.9 + 1.9. Let m = q - -11.999775. What is m rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 + -5609.4.\nAnswer: -5609.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 46*w + 7*w + 12*w + 4 - 13*w.\nAnswer: -32*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (-170145060)\/315 - 2\/42 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35832 + -35830. Let b = 1 + -2. What is the second biggest value in f, 2\/3, b, 101?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*r, 2*t - 4*t - 5*r + 23909 = 0. List the prime factors of t.\nAnswer: 3, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -0.04096, 0.1 in ascending order.\nAnswer: -35, -0.04096, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 2*p - 1. Suppose -5 = -3*t - 2*l, 3*l + 1 = 5*t - l. Let i be s(t). Suppose -g + 0*g + 2 = i, 3*g = 5*v + 1. Which is smaller: -6\/19 or v?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/12)*f\/f**(-25\/4)*f)**(2\/9))**29 assuming f is positive.\nAnswer: f**(1624\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 275 - 271. Let o = -42 - -339\/8. Which is the nearest to -7? (a) o (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16634.88cm to kilometers.\nAnswer: 0.1663488","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 0, -89, -1 in decreasing order.\nAnswer: 3, 0, -1, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-4)*(-198)\/(-15). Is 60 a factor of 90\/7*(-616)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 5 - 5 - c - 4*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 18 - 11 - 10*s**2 - s + 42 in the form x + n*s + v*s**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0*t**4 - 1\/3*t**3 + 1\/10*t**5 - 11*t - 1\/2*t**2 + 1\/30*t**6 + 0. Let n(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 26*k**2 + 45*k - 1171. Give r(-7).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 0 + -5 - 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 n when four letters picked without replacement from {n: 10, z: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Suppose 5 = v*f + y, 2*f + y - 7 = 2*y. Suppose 1 = f*k - 8. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 21 (b) 0 (c) -3\/2197 (d) -0.3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090344 is divided by 371?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1. Let r(p) = -2*p - 5. Let n(x) = 5*b(x) + r(x). Let q(f) be the third derivative of -f**5\/60 + 5*f**2. Determine q(n(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:47 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18606 divided by -21?\nAnswer: -886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36902 is divided by 150.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 1, 2\/229 in descending order.\nAnswer: 1, 0.4, 2\/229, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1508 + 862 + 1883 - 3*b - 881 to n + u*b and give n.\nAnswer: 3372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 169709*f**2 - 169801*f**2 + 36.\nAnswer: -92*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:34 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 11*x**2 - 10*x + 7. Let b be l(-10). Let r(i) = 10*i**2 - b*i**2 + 1 - 4*i**2 - 3*i - i. Determine r(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. What is the second derivative of 0*x + 3*x - 5*x + x**z wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 8:09 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*k - 69372 = -378065. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198105 = -3*c - 147*y + 148*y, -5*c - 5*y + 330115 = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 547 + 511 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 - 0)\/(13\/(-26)). Suppose 9*b = 4*b + z. Solve -b*x = -3*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**2\/2 + 6732375*p\/2 + 10098540 = 0?\nAnswer: -1346472, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -428217 divided by 3?\nAnswer: -142739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 260 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.66482 - -0.06482. Which is the nearest to 0? (a) 0.2 (b) x (c) -124 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 4:03 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 66078*y + 1850175. Calculate k(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 12:25 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 921 = 2*g + g. Let m = g - 120. Suppose 4*c - m = -2*s - 3*s, 3*c - 179 = 4*s. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 33*t - 31. Let q be p(7). Let u = 284 - q. Let c = 94 - u. What is the smallest common multiple of 2 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*1)\/sqrt(10) - (sqrt(19) + (sqrt(19) - (sqrt(475) - (sqrt(475) + sqrt(475) + sqrt(475) + sqrt(475) + -2)))))**2.\nAnswer: -64*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -210?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1120*j**2. Let f(p) = -2*p**2 + 16*p. Let z(v) = 2*v**2 - 32*v. Let s(a) = -2*f(a) - z(a). Give r(s(o)).\nAnswer: -4480*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/42*r**4 - 1\/147*r**7 + 0 - 1\/30*r**5 - 3\/140*r**6 + 0*r**3 + 0*r + 3*r**2 - 1\/1176*r**8. Factor y(u).\nAnswer: -2*u*(u + 1)**3*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 35 = -7*l, 0 = -5210*c + 5207*c + 2*l + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 37?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(360)*1)\/(sqrt(16)\/sqrt(2)*3) + -1 + 0 + -2 + sqrt(5) + -1).\nAnswer: -16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52247 (base 10) in base 15?\nAnswer: 10732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -537 + 527 = -5*f. Let h = 942 + 126. Suppose 2*l + 1506 = f*u - h, -u = 2*l - 1275. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 58.\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 777566004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6\/5)\/z)**(-32) assuming z is positive.\nAnswer: z**(352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4793 - 4769 - (29 - (-2 + 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.558735mm to micrometers.\nAnswer: 2558.735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-12) + (-57)\/(-2). Suppose 0*w - 5*w + c = -d, 4*d = 2*w - 184. Let h = -30 - d. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 44 = 8*l. What is the remainder when 30 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-350)\/336)\/((-15)\/12)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*t - 6 = 3*x, -x + 3*t = -26. Let a be x\/(6\/3)*3. What is the greatest common divisor of a and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - l. Let i(x) = -7*x**3 + x**2 - 7*x + 3. Let t(r) = 3*c(r) - i(r). Let j(o) = 6*o**3 - 3*o**2 + 3*o - 3. What is 4*j(q) - 3*t(q)?\nAnswer: 3*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*k**3 - 91*k**3 + 363*k**3 - 108*k**3.\nAnswer: 56*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 u, and 1 a when four letters picked without replacement from {a: 1, m: 1, u: 4, l: 6, v: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2 - 10*b**2 + 8*b**2 + 4 - 5*b**3 - b. Let t = -415 + 413. Let i(w) = -11*w**3 - 4*w**2 - 3*w + 5. What is t*i(n) + 5*x(n)?\nAnswer: -3*n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z - 10 - 5*z + 0*z + 3*z. Let h be c(4). Suppose -3*i + 3*r + 15 = 0, -3*r + 4*r - 15 = -3*i. Solve 0 = j - 2*f + 11, 5*f + i - 30 = h*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j + a + 856 = 0, -3*j - 5770*a + 64 = -7*j - 5774*a for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c. Let f(r) be the second derivative of 0*r**2 + 0 + 0*r**3 + 1\/2*r**4 - 36*r. Give f(u(n)).\nAnswer: 216*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/9 - 88*j**3\/9 - 586*j**2\/9 - 260*j\/9 + 400 = 0.\nAnswer: -36, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10335077 is divided by 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -0.3, -9, 0.2, 2 in increasing order.\nAnswer: -9, -0.3, 0.2, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167045994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**2. Let q(i) = -35*i. What is k(q(j))?\nAnswer: 12250*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 59 = -v, -2*t - 2*v + 49 - 35 = 0. Let y(x) = 11*x - 104. Calculate y(t).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45608223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*x + 12 - 12 - 54*x - 62*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334318049?\nAnswer: 13, 25716773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - 5*m)*(m + 2 - 2)*(0*m - 5*m + 9*m)*(-4*m**2 - 6*m**2 - 2*m**2).\nAnswer: 288*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-3))\/(-3) + (1 - 0). Suppose -2*h = 0, w + r*h = h + 12. Let s(u) = -u**3 - 4*u**2 - 4*u - 2. What is the lowest common multiple of s(-4) and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a3 (base 13) to base 14\nAnswer: 6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.88, 4, 0.1, 8, 0.4, -2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-2 - 3) - 8 - 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 5852?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4180 is divided by 835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8668 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnxnnk. Give prob of sequence xk.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (2 + 4 + -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/3*(-3)\/(-2). Let v(k) = -k. Let p(c) be the second derivative of -2*c**3\/3 + c**2 + c. Let f(w) = -p(w) + 2*v(w). Give f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 29*x + 25*x + 284, 5*x - 121 = -3*a. What is the lowest common multiple of a and 91?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 2*h + 12 = -27*c, -c - 24 = 4*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -9*p + 141176. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 3\/54216857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-473*o**2 - 11*o**2 - 319*o**2)*(o - o + 3*o).\nAnswer: -2409*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + 0 + 4. Let p(j) = j**2 + 81*j + 80. Let d be p(-1). Suppose -3*i + q*i - 294 = d. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19452 + -18727. Sort -2, c, -1, 1 in decreasing order.\nAnswer: c, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -2, -7, -20, 2, 18 in ascending order.\nAnswer: -20, -7, -2, 2, 3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 278982*l - 14501656.\nAnswer: -2*(l + 52)*(l + 139439)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 5*u + 11. Let b be a(-5). What is the units digit of (-12)\/84 - (-2 - (-1038)\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 8, 306150?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 + -96. Let w(n) be the third derivative of 0*n + 0 - 1\/30*n**5 - 2*n**2 - 1\/210*n**7 - 1\/40*n**s + 0*n**4 + 0*n**3. Let w(b) = 0. What is b?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/132 - -2 - (4100\/55)\/(-5)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 109, 456, 1147, 2296, 4017, 6424?\nAnswer: 9631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 650*f*u + 486*f wrt u?\nAnswer: 650*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675748 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -131\/42697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 494 + -150. Let z be 430*(-2 - 33\/(-15) - 0). What is the highest common factor of z and h?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.28935 meters to centimeters.\nAnswer: 3528.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1174 or 1191?\nAnswer: 1191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010010001 - 1100101111010?\nAnswer: 1010100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11600 (base 8) to base 5.\nAnswer: 124432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {g: 2, s: 2, p: 1, m: 2, l: 2, u: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.1. Let k = -496 + 495.9887. Let i = -0.0113 - k. What is the nearest to 2\/7 in w, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -53 + 50. Sort 1, -2, a, -5 in increasing order.\nAnswer: -5, a, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 19, -516, -7 in descending order.\nAnswer: 108, 19, -7, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.44 + 2.54. Which is the fourth smallest value? (a) o (b) 1\/4 (c) -0.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 20 = -675. Suppose -m - 121 = -5*p. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 3*q + 40 = 0. List the prime factors of (12 - -335) + (-6)\/(q\/(-2)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 38787286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79453, 317878, 715253, 1271578?\nAnswer: 1986853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4217, 8, -1 in ascending order.\nAnswer: -4217, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7410714 - 64?\nAnswer: 7410640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-2)*(207\/(-27) + 7). What is the common denominator of -9\/2 and (-213)\/(-2)*l\/204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 679 is divided by 343?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-4\/31)*g)\/(g\/g**36))**(11\/2) assuming g is positive.\nAnswer: g**(12573\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -679, -1873, -3853, -6613, -10147, -14449, -19513, -25333?\nAnswer: -31903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one halves of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(160))\/(-6*sqrt(8)\/sqrt(4)).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 16 = 3*a + 2*b, 4*a + 2*b - 18 = 0. Solve -2*x - 2*g + a = -2, -x = -5*g - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from aaaraaaaaaraara?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-19886*a - 36191 + 36191 + 1776*a).\nAnswer: 36220*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven eighths of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 4*b + 0*b**3 + 0 - 1\/6*b**4 + 0*b**2. Let w(i) be the third derivative of -i**5\/20 - i**2. Give n(w(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 49013.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18720840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -278, -6 in ascending order.\nAnswer: -278, -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168020\/(-21680) - (5 - 1719\/84).\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2 (c) 0.5 (d) -3\/173 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97600159, -97600163, -97600167, -97600171?\n\"Answer: -4*w - 97600155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -670740 rounded to the nearest 10000?\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 41 + 42 + 43 + 38 - 200 + 40. Let l(d) = -d - 20. Let h be 24\/(-14) - 4\/14. Calculate h*l(u) - 11*p(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfnnllnnfunltlf. Give prob of sequence lt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21014\/(-11305))\/79 + 13983\/(-1785).\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 2. Let b be z(0). Suppose d = b*d. Find the third derivative of -2*n**2 + 3*n**2 - n**6 - 3*n**2 + d*n**6 wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 - -220. Let b be (-14)\/(-4) + (-2)\/4. Suppose l*m = -2*k + 108, b*k = -6*m + 2*m + 145. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1000\/141 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 2*q - 6, 5*f = -4*q - 4 - 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2700) + -2))**2.\nAnswer: -1920*sqrt(3) + 43264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*d - 25, 5*k - 6*k + 12 = 2*d. Solve -6*s - 16 = -k*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 6) in base 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, n: 12}. Give prob of picking 1 c and 3 n.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0, -3\/8, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2385808364.\nAnswer: 2, 103, 5790797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(sqrt(153) + -5)*-4 - (3*(sqrt(153) - (sqrt(153) + 2)) + 3))**2.\nAnswer: -25281 + 4104*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/13 + 70*c**4 + 38972*c**3\/13 - 40796*c**2\/13 - 2998*c + 39886\/13 = 0.\nAnswer: -407, -49, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 30.81. Let u = n - -0.01. Which is the third biggest value? (a) 1\/2 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 9b7a?\nAnswer: -9b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -6, 1 in increasing order.\nAnswer: -6, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 5334?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 2, a: 4, f: 1, n: 3, h: 3}. What is prob of picking 4 a?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3503021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41517?\nAnswer: 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39122.\nAnswer: 2, 31, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4407, 1488, -3371, -10164, -18885, -29528?\nAnswer: -42087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533268079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/(-24)*18\/(-10). Suppose -l*c + 2*c + 88 = 0. Suppose 24*n = c*n - 12. Is -16\/3 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 6*y + 2. What is p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -62. Let -46*u**2 + 0*u**4 + 63*u**2 + v*u**3 - 32*u**2 + 5*u**4 - 23*u + 10 = 0. Calculate u.\nAnswer: -5, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*t - 15 = 0, -6*t + 20 = -4*j - 2*t. Let o = 1.997 + 0.023. Let d = 0.02 - o. Is d smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1694 and 462?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/246 and 75\/2?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 2075*h**2 - 257005*h + 254925.\nAnswer: 5*(h - 99)*(h - 1)*(h + 515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(-5\/6)*x))\/((x*x\/(x*x\/(x**29\/x)))\/x*x)*x**30*x**(-30\/7) assuming x is positive.\nAnswer: x**(-215\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(((r*r*r\/r**3)\/r)\/r)\/r*r**(-2\/5))\/(r*(r*r*r**5)\/r*r*r*(r*r**0)\/r) assuming r is positive.\nAnswer: r**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c + 5. Let j(r) = -13*r + 11. Let p(b) = -9*f(b) + 4*j(b). Let m(d) = -3*d + 2. Give 3*m(x) + 4*p(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/24 + 42*d**2. Let q(y) = -4*y**2. Give j(q(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7707721.84148 - 7707564. Let g = -157.01 + x. Let n = -0.83 + g. What is n rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1188))\/(-2*sqrt(55)\/sqrt(5)) + 3 + (sqrt(432) - (sqrt(432) + ((sqrt(432) - (sqrt(432) - sqrt(432)*1) - sqrt(432)) + sqrt(432))**2))*3.\nAnswer: -1293 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/13 + 152966\/143. Which is smaller: 1069 or g?\nAnswer: 1069","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -417, -637, -891, -1191, -1549, -1977, -2487?\nAnswer: -3091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 15. Suppose 5*c + 2*g = -8, 2*c - b*g = -4*g + 8. Suppose -3*j + c*s = -s - 73, 5*s = 2*j - 53. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12301 - 3525. Calculate the highest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78744?\nAnswer: 2, 3, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*m + 3 = -5*l, 4*l + 4*m - 20 = 0. Let z be (2\/1)\/(l*2). What is the third smallest value in 5, 3, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6376\/17*g - 1270418\/17 - 8\/17*g**2.\nAnswer: -2*(2*g + 797)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -14*d - 249. Let r be l(-18). Let c(u) = -u + 2*u**2 + u**2 - 2*u - 1 - 82*u**3 + 81*u**r. Calculate c(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:40 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 3 - 3)*(-583*r**2 + 11*r**4 + 583*r**2) in the form s*r + x*r**2 + l*r**4 + y*r**3 + h and give l.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 32. Suppose 0 = -5*r - 4*i - 11, r + 3*i = 3*r + l. Let p(c) = -2*c - 1. Let v(n) = -2*n - 2. Calculate r*v(b) + 4*p(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 43. Let s(o) = -o**2 - 7*o + 4. Let u be s(i). Solve -3*h + 5*h + u = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 908*q**2 + 162617376 - 162617376.\nAnswer: 908*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 399464 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -14, 10 in decreasing order.\nAnswer: 10, 2, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 382030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*n - 2*w, 0 = 30*n - 25*n + 4*w + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -5, -25, 1131?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14717 (b) -3\/16 (c) -2\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330904 and 836?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -253\/4 - -63. Let i = 200 + -191. Suppose 10*w - i = 6*w - 5*m, 0 = w + 5*m - 6. Sort 0.2, h, w in decreasing order.\nAnswer: w, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from urkmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11576278.\nAnswer: 2, 7, 29, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -13*l**5\/60 - 5*l**3\/6 + 3*l**2 - 16*l. Let s(o) be the first derivative of y(o). Differentiate s(x) wrt x.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddn when three letters picked without replacement from dhdhnhhhddn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, -36, -124, -242, -390, -568, -776?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7518.\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 392261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -6. Let g(l) = l**3 + 3*l**2 - 3*l - 6. Let t be g(-3). Factor 13*d**c - d**t - 15*d**4 - 6*d**3.\nAnswer: -3*d**3*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*0.935\nAnswer: -12.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2167 is divided by 142.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = -120 + 345 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + i = -14, -3*i + 11 = -4*a + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(147) + 5)**2 - (0 + (sqrt(147)*-1)**2)) + ((sqrt(147) - sqrt(147)*-2) + -4)**2 + (-1 + sqrt(147))*1.\nAnswer: -91*sqrt(3) + 1363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1000 + -2?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4114358895.\nAnswer: 3, 5, 19, 43, 335729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2134*x**2 + 12*x + 12. List the prime factors of m(-1).\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**7\/70 - 3*i**6\/20 + 9*i**5\/20 - 3*i**2 - 3*i. Let v(z) be the first derivative of l(z). Suppose v(a) = 0. What is a?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 211018201 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/(-232) + 38050\/(-5075) and 73\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 2*q**3\/27 + 115*q**2\/9 - 232*q\/9 + 415. Determine d, given that h(d) = 0.\nAnswer: -116, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, m: 4, c: 1, a: 3, o: 4}. What is prob of sequence fc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 5*k**4\/24 - k**3\/6 + k**2\/2 + 3*k. Let t(v) be the first derivative of i(v). What are the prime factors of t(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {o: 12, q: 1, d: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 29.0000115. What is f rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2 + a**2 - 13\/2*a.\nAnswer: (a + 1)*(2*a - 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 49. Solve -d*x + 8 = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 2*j + 196, -2*c + 4*j = -200. Suppose -f = -3*f + c. Suppose 5*o + 5*i = f + 31, i = -4*o + 76. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -3.95. Suppose 0*q - 11 = 2*f + q, -2*q + 14 = -2*f. Let j be (f\/(-4))\/(3\/1). What is the third biggest value in t, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 + -166029866\nAnswer: -166029865.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/8 - 18627*u\/8 - 425247\/4.\nAnswer: -3*(u + 46)*(u + 6163)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(162) + 0 + 6*(0 + sqrt(162)) + -1*sqrt(162)*-2 + 6*(sqrt(162) + -1))**2.\nAnswer: -1350*sqrt(2) + 36475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318505548 + 318505527.4000159. Let y = -506 + 526.6. Let p = y + g. Round p to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -228.79 and -150?\nAnswer: 34318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 - 3*k + 2. Let v be -1 + 5 + -5 + 0 + 3. Let y(z) = 4*z**2 + 5 + 2*z**v + z**2 - 7*z + 6*z**2. What is 9*w(x) - 4*y(x)?\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (580 + 10*c - 580)*(c + 0*c + 0*c) in the form d + h*c + u*c**2 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -30. Suppose -3*p + 80 + n = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202 (base 3) to base 7.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 3, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let g be o(4). Solve -3*n + p - 13 = 0, -3*n - 2*n = 4*p + g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = 17. Suppose 27*s + 90 = 25*s. Let i = g - s. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6045, 6042, 6037, 6030?\nAnswer: 6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315839 is divided by 157847.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/104911 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(208) - sqrt(13)) - (1 + sqrt(13) + 0 + sqrt(13))) + 0)**2.\nAnswer: 16*sqrt(13) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 606.78140147 + -606.7499. Let a = -0.42150093 + g. Let d = -0.39 - a. What is d rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 30866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*l = -5*m + 33, 9 = -3*m + 3*l. What is the highest common divisor of 22 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13643641 is divided by 509.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 12. Calculate v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 c when four letters picked without replacement from {k: 6, c: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 8*x**2 - x + 5. Let c be n(8). What is the third biggest value in 16, 1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:06 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -133*n**5\/12 + 67*n**4\/24 + 134*n**2 + 3. Find the second derivative of z(a) wrt a.\nAnswer: -1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = 3*q, 0 = -3*r - 4*q - 3487. Let y = r - -2189. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k**4 - 341434*k**3\/3 + 512678369*k**2\/3 - 1371796228*k + 95424864 = 0.\nAnswer: 4\/57, 8, 2991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4 + 6*b - 2 - 2 + 2*b**2 - 2. Is t(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**7\/2240 + w**6\/240 - 3*w**5\/320 - w**3\/3 - 2*w**2. Let q(k) be the first derivative of g(k). Let q(f) = 0. What is f?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwqlpnqen. Give prob of sequence pwe.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from fiafsafsfims?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124243 is divided by 7752?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255.22732 * 0.12.\nAnswer: -30.6272784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622546867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 + 52*x**2 - 135*x**2 + 60*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11022 - -201?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:59 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85805263.\nAnswer: 85805263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31095? (a) -3 (b) 2 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 31 + 0 + -9?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 17*x + 62. What is m(-17)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -7)*30\/2. Let x be 14\/(-3)*p\/10. Suppose x = 4*r - 3*r. Calculate the remainder when 13 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.63.\nAnswer: -0.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(168)*1 + sqrt(168)) + sqrt(168))\/(sqrt(4) - sqrt(16)\/(sqrt(4) + sqrt(12)\/sqrt(3))))\/((sqrt(36)\/sqrt(2)*5)\/(sqrt(27)*4))*-3.\nAnswer: -216*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.2 + 23.8. Let w = o - -25.271. Let g = w + 0.128883. What is g rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5018783 divided by -4\nAnswer: -5018783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z**3 - 23*z**3 + 37*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 514554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 44 = -5*s - 0*f, 22 = 4*s - 5*f. Suppose -30 = -2*i + 3*p, -32 = -4*i - 4*p + s. What is the highest common factor of i and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2. Let q(w) = w + 12. Let o be q(-5). Let d(m) = o*m - 4*m + 2*m. Calculate n(d(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 59 + 7 = p + 23, 0 = -18*l + 10*l + 5*p - 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (52 - (-33 + 40)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1317, -4, 10, 1, -73 in decreasing order.\nAnswer: 10, 2, 1, -4, -73, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 179418, 359231, 539044, 718857, 898670?\n\"Answer: 179813*k - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 78 = -o. Let u = 54 + o. Solve -2*d - u = -7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 68 in -2\/9, -0.5735, -4, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(272)*-2 - sqrt(272))*-6*6)**2*4.\nAnswer: 3110400*sqrt(17) + 317390400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + a2ba5?\nAnswer: a2b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-10)\/(-15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from yju.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + a**2 - 2*a + 1. Let q be w(1). Let v be (-2 + (-3)\/(-1))*q. Is 33 - (1 - v)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*a = -91*a + 137*a + 8955 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4022*v + 3495145. What is g(869)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 2235636?\nAnswer: 2235636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -g + 1, -11*g + 13*g = 5*h - 13 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 878 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 7*m**3 + 6*m**2 - 2872*m - 7*m**2 + 2872*m.\nAnswer: -13*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 17*d**2 - 2*d + 5. Let b(z) = 4*z**2 - z. Let y(k) = -10*k**2 + 2*k - 2. Let w(g) = b(g) + y(g). Calculate 3*h(v) + 8*w(v).\nAnswer: 3*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 7. Let p be ((-80)\/28)\/(n\/7). What is the highest common divisor of 50 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.726 + -469.626. What is u rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 912990 and 304330?\nAnswer: 912990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 109 = -314. Suppose 2*i = y - 15. Suppose -i*k + 9*k = -140. Calculate the greatest common factor of 35 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25623800 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2385, -2384, -2383, -2382, -2381?\n\"Answer: u - 2386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315818980.\nAnswer: 2, 5, 47, 331, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/34024 and 2\/3.\nAnswer: 102072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8.37408*-9\nAnswer: -75.36672","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -15*l + 32 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91889451?\nAnswer: 3, 3403313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.09, -20 in decreasing order.\nAnswer: -0.09, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22217, -23640, -25067, -26498, -27933?\nAnswer: -29372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 78. Find the second derivative of -8*a**5 + 0*a**5 - o*a + 2*a + 20*a**5 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 130*k**2 + 21*k + 2743. Let q be z(-130). Let r = 20 - 7. What is the highest common factor of q and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*x - 650319 = 1941985 + 684956. What are the prime factors of x?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(3 + sqrt(704)*-2) + -3.\nAnswer: -11 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -27 - (-1 + 2 + -2). Let f = u - -68. Let l = f + -11. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2004225804 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*v**2 - 270*v**2 + 786*v**2 - 263*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 3\/2 (c) 2\/5 (d) -113\/4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*12\/72)\/9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2 + -3)**2 - (-5 + -2 + sqrt(52)).\nAnswer: 34*sqrt(13) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -60 (b) -1 (c) -1\/5 (d) 309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i + 8. Let v(m) be the first derivative of -m**2\/2 - 1. Let g(o) = 2*p(o) + 22*v(o). Let c be g(-11). Is -5 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11412797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2\/3 + 5693*m\/3 - 1423\/3 = 0. Calculate m.\nAnswer: 1\/4, 1423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -8\/231, 4, 27.9?\nAnswer: 27.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 2*y**2 + 4*y - 1. Let w be v(2). Let i(g) = -2*g + 6. Let r(x) = -3*x + 7. Calculate w*i(k) - 6*r(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5 = 0, -k = -2*w - 1 + 2. Let i be 0 + 3 + (w - 3). Which is the nearest to i? (a) 2\/5 (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -6*q + 2*v - 3940, 0 = -4*q - v + 7877. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (0 - (-99)\/(-11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhjhhhuh. What is prob of picking 1 j, 2 h, and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74007 by 2741.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/447742 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 11*y - 20. Let c be d(16). Suppose -8*v = -3*v - c. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140141 (base 5) in base 2?\nAnswer: 10100011101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - -2. Suppose v = -1, 4*g + 3*v + 5 = z. What is the greatest common divisor of g and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i + 1055 = 0. Is i 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 jojjjjjo. Give prob of sequence ojo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, v: 18}. What is prob of picking 2 v?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 + 19*k + 17*k - 3*k**3 - 53*k + 17*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 195004476?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38545, 38115, 37685, 37255, 36825, 36395?\nAnswer: 35965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 19. Let k(a) = 11*a + 1. Let m(b) = -9*b. Let t(j) = -5*k(j) - 6*m(j). Calculate -6*n(p) - 22*t(p).\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*w**5 - 2*w**3 + 35*w**2 + 2.\nAnswer: 420*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -285.3 + 305. Let v = x + -20. Let m = 3.4 + 0.6. Which is the smallest value? (a) m (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and -54.38?\nAnswer: 38.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + -2 + 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32577358, -65154715, -97732072, -130309429, -162886786?\n\"Answer: -32577357*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-33)*-6*182\/(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49958 divided by 5462?\nAnswer: 24979\/2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.1537mm to meters.\nAnswer: 0.9501537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*c = -66, -112 + 18 = -5*v + 3*c. Let o be 296\/5*v\/8. Suppose 0*g = g + 4, 4*g - o = -4*s. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -11*b**3\/6 - 4009*b. Let q(v) = 3*v. Let u(n) = 5 - 5 + n. Let d(i) = 4*q(i) - 11*u(i). Calculate s(d(p)).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53540 and 2560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-3) + 3)*(28\/(-4) - -6). Which is the third smallest value? (a) 0.1 (b) -0.23 (c) -5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 122*g - 60*g - 61*g. Let k(c) = -12*c. Determine k(r(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -3 (c) -2121\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36530 - -36529.7. Which is the nearest to 2? (a) -204 (b) 0.1 (c) w (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(((-1*sqrt(76) - sqrt(76))*3 - ((sqrt(76) + sqrt(76)*2 - sqrt(76) - sqrt(76)) + -4)) + -2))**2.\nAnswer: -224*sqrt(19) + 14912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - z = 0, 4*z - 3 - 12 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d - 20*d + 3919458*d**2 - 3919564*d**2 in the form w*d**2 + y + f*d and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*v**2 + 1\/4*v**3 + 3\/4*v + 1\/4.\nAnswer: (v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) - (-12798)\/216. Solve -4 = 11*n - o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 9*c - 25. Determine z(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 21*g - 44 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54351696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (304\/12)\/2*(-8856)\/(-14022).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -46?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800625 and 7581.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:21 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 153 + 215. Let h = g + -40. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -19\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/180 - 431*n**5\/135 - 16*n**4\/3 + 2982*n**2. Suppose w(o) = 0. What is o?\nAnswer: -2\/3, 0, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -9*s**5\/20 - s**3 + 8*s. What is the second derivative of c(f) wrt f?\nAnswer: -54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*c - h - 1, -c + 3*h = 14. List the prime factors of (7 + -243 + 0)*-1*c.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*c - 197*c + 8*c.\nAnswer: -277*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/3 - 172*b**2\/3 = 0 for b.\nAnswer: 0, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:02 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1890, 957 in ascending order.\nAnswer: -1890, -5, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12*-6*-60. Let j be 215\/3 + (-8)\/(-24). Suppose -j = -l - l. Calculate the highest common divisor of l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/((56\/(-7))\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 43*n - 13*n = 42098. What are the prime factors of n?\nAnswer: 7, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -41. Suppose 9*h + 8 - 35 = m. Solve z + h*z + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 6. Is 4\/2 - a - -188 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2050*x - 71 = 8*g - 2051*x, 32 = -2*g - 184*x + 170*x for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.487 - -0.887. What is the third smallest value in d, 0.3, -10, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/(-24) - 14\/4 - 348\/(-36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/4 - 2*c + 2653. Let o(m) = -522*m + 2. Determine o(h(d)).\nAnswer: -1566*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941 minus 3?\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**4 - 11780*q**3 + 8517816*q**2 - 75592000*q - 84121600 = 0. What is q?\nAnswer: -1, 10, 1240, 1696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372 - -1968.086.\nAnswer: 1596.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 - j. Let u be m(-1). Suppose u*x = 2*w + 3*w - 70, -w + 26 = 2*x. What is the units digit of w\/5*(-90)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-1)\/(-3) + -2. Let u(w) = w**2. Let l(c) = 6*c**2 + 2*c + 1. Determine t*u(f) + l(f).\nAnswer: 2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -1, -20\/11, 131 in ascending order.\nAnswer: -20\/11, -5\/3, -1, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 4. Let n be f(-4). Let h be 11\/(-4) + (3 - n). Let p = 2.5 + -3. What is the nearest to h in 1\/8, -1\/7, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(153) + 4.\nAnswer: 8 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33622?\nAnswer: 2, 16811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 11 = -180*b - 173*b + 354*b, -5*v = -30 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3 = -7*l + w, -5*l + 4*w = 12. Let k(b) = 18*b + 83. Calculate the remainder when k(l) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.5 + 1.5. Let h = 18 - 19. What is the second biggest value in 0.4, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1435833 micrograms to kilograms.\nAnswer: 0.0000000001435833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*g = -9*g - 11243 + 5371 + 5317 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*q + 28804*j**2 - 8*j*q - 51*j + 10*q wrt j.\nAnswer: 2*q + 57608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/28*7\/((-147)\/(-28)). Which is the third smallest value? (a) -0.4 (b) 4 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + g + 3*g)*(2 - 4 - 2)*(-1 - 1 + 0 + (1 - 3 - 1)*(-2 + 0 + 3)).\nAnswer: 100*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 767016847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.36 - -0.04. Let g be 1*2*(28 + (-2698)\/76). Which is the second biggest value? (a) g (b) -6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 11:08 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = -w + 4*c, w - 8 = c. Suppose 15 = -w*u + 5. Sort 3, 1, u in descending order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 5 + 8 + -1. Solve 0 = -4*j - f - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73123793 less than or equal to 73123793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -280, -245, -164, -13, 232?\n\"Answer: 4*o**3 - o**2 + 10*o - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 12*q - 48. Let l be f(-4). What is the closest to -6 in l, 3\/4, 0.2, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*((z\/(z\/(z**9\/z)*z))\/z)\/z)\/(z\/z**11) assuming z is positive.\nAnswer: z**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-969000)\/(-765))\/152*(-7)\/5*(-12)\/(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v - 0. Solve -v*x - 2 = -4*t - 3, 0 = 2*x + 5*t - 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -4 (c) 34948 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*t + t**2 - 48*t + 11*t - 65*t)*(7*t**2 - 10*t**2 + 0*t**2).\nAnswer: -3*t**4 + 453*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.682549 days to weeks.\nAnswer: 1.097507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 h when three letters picked without replacement from {l: 2, x: 1, h: 1, o: 2, s: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11b - 5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61.1091 - 1.8909. Which is smaller: 2.2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnn. Give prob of picking 1 f and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8941.58 + 8942. Which is the nearest to -0.1? (a) r (b) -13 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**3*o**3 + 2*i**3 + 2*i**2*o**3 - 9*i*o**3 - 5*i + 2 wrt i.\nAnswer: 18*i*o**3 + 12*i + 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 1)*4\/(-6). Suppose 0 = 2*t + m*t. What is the second derivative of t*y**3 - 2*y**3 - y + 0*y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 29.1. Let u = 0.4 - 0.6. What is the second smallest value in u, -1, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/108)\/(1\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.6053 millilitres to litres.\nAnswer: 0.2936053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 106*i**3 - 17291*i**2 + 484896*i - 467712.\nAnswer: (i - 48)**2*(i - 1)*(i + 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (77 + 0 - 7)*(-5 - 3 + 6)*(33*g**3 - 15*g**3 - 16*g**3) as f*g**3 + u + b*g + j*g**2 and give f.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 12 = 0. Let g = -1 + n. Let u = -0.07 - -0.27. Put 2\/5, u, g, 1\/8 in increasing order.\nAnswer: 1\/8, u, 2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -15, -4, -9 in increasing order.\nAnswer: -18, -15, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 36 = 3*d - 4*d, -72 = -4*k - d. Suppose -5*c + a + 86 = 0, 2*c + 4*a + 74 = 7*c. Calculate the greatest common factor of k and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -1 + 1)*1. Let o(r) be the second derivative of r**3\/3 + 4*r**2 - 4*r. Does 8 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256308 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 q in 3*q**3 - 387*q**2 + 16641*q - 238521 = 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-102)\/(-440) - (-4)\/(-22). Let w = 118 + -119. Are u and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + -0.09. Let b = 2.92 - v. Let f = -3 + b. What is the nearest to -1\/3 in -0.4, -2\/17, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.07 (b) 0.3 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 31. Let d(g) = -g. Calculate d(o(j)).\nAnswer: 2*j**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from jwjwjjnwxwjwnjxnj?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1377)*-2)**2 - (sqrt(1377)*2 - (sqrt(17) - (sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) - (0 + sqrt(68) - sqrt(68))) - sqrt(68))))**2)).\nAnswer: -17*sqrt(17) + 49504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 271545 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + 32 - 32 to q + f*a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2291, 1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263986 is divided by 8604?\nAnswer: 5866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-1\/6)\/w*w))**(-20))**(1\/66)*((w*w**0*w*w*w)**(-17\/3))**33 assuming w is positive.\nAnswer: w**(-74057\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-9)*x*x*x**3*x)\/(x**(-2\/11)\/x)**(-8) assuming x is positive.\nAnswer: x**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfnrnrnrnfnnffnnnn. Give prob of sequence rf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 47, 5 in increasing order.\nAnswer: 0.08, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/14)\/((-4338)\/(-50610))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.7 - -8.1. What is the closest to -2\/5 in -2, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 270900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038883649 to 5 dps.\nAnswer: 0.03888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 111 = 687. Let p be 2\/11 + i\/99. Suppose -6*v + 5*v = -p. Solve -3*z + 5*q - v + 32 = 0, 4*z - 3*q - 20 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -171*d. Let i(a) = 347*a**2 + 246. Determine i(t(w)).\nAnswer: 10146627*w**2 + 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 - 135 = -7*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/1151071 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 1:03 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 3*r + 6. Let t(a) = 6*a**2 + 15*a + 29. What is 11*i(v) - 2*t(v)?\nAnswer: -v**2 + 3*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Let k(j) = j - j**3 + 4*j**2 - 2*j**n - 6*j**2. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 8 = -2*l. Let i = l - 11. What is the remainder when 8 is divided by -15*(i - 21\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(3\/(-8))\/((-18)\/(-4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1002*f**2 + 655*f**2 + f - 755*f**2 - 1)*(-2*f**2 + 1 - 1).\nAnswer: 2204*f**4 - 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65281 + 18604877\/285. Let l = 4\/57 - m. Let f = -53\/2 - -26. Put l, -5, f in increasing order.\nAnswer: -5, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t + 3*u = 180, -1348*t + 1348*t = 3*u - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377781467?\nAnswer: 7, 53968781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5058, -19264, -42936, -76068, -118654, -170688?\n\"Answer: d**3 - 4739*d**2 + 4*d - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 7. Let v be z(-6). Let h(p) = -2*p - 1. Let t be ((-2)\/4)\/(3\/(-6 + 12)). Let g(j) = -j. Give t*h(n) + v*g(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 30*m**2 - 13*m + 5. Is q(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297860 - -3.9.\nAnswer: -297856.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s + 3, -3*s + 6 = -m. Let n = 12 + m. Suppose 0 = -46*r + 15*r + 186. Solve n = 4*c + 20, c - r*c = 2*z + 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g. Let i(k) = 2*k. Let d(u) be the third derivative of u**4\/4 + 3*u**2. Let t(s) = 2*d(s) - 5*i(s). What is -3*c(p) + 16*t(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10452390 rounded to the nearest one hundred thousand?\nAnswer: 10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8) - 14*(-717)\/(-5544).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose 0 = -4*g - 16, 2*p + 3*g + 7 = 1. Solve p*z = -w - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, 0.6, 0.2, -1\/4, 0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*z - 7, -4*j + 3*z = 8. Solve 4*d + d + 5*b = 5, 0 = -3*d - 5*b - j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.02203995465\nAnswer: 2.02203995465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9614980?\nAnswer: 2, 5, 480749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 86*y - 51*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 43*c - 28. Let f(u) = -u**2 - 88*u + 56. Let z(v) = -5*a(v) - 2*f(v). What is the hundreds digit of z(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -640, -1443, -2566, -4009?\nAnswer: -5772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 2*w + 268 = 3*t, 243 = -3*t + 3*w. Let m = -48 - t. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -392\/9, 2\/11 in descending order.\nAnswer: 2\/11, -1\/4, -392\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/2, 2\/177, -5\/4?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*y + 657 = -732 - 1977 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 194*z\/7.\nAnswer: 2*z*(z + 97)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37 + 3 + -3 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.42 + -146\nAnswer: -172.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1490?\nAnswer: 5960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 3 - 5 - 8*a. Let x(o) = -o - 2*o + 3 + 4*o + 0*o. Determine 7*g(v) + 5*x(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29452690 a multiple of 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*c**2*o**2 - 20*c**2*o + 3*c + 3*o**2 - 38 wrt c?\nAnswer: 44*o**2 - 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1550077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 - -62. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 923964 = 34242*z - 40485*z for z.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18711.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*u + 9, 1436*u = 1431*u - 2*q + 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (32\/(-20))\/((-3)\/(-30)). Let y = -51 - l. Let x = y + 55. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + ((-2 + ((sqrt(1216) - (sqrt(1216) + 0))*-6)**2 + sqrt(1216))*-3 + -1)*-1)*-2.\nAnswer: -192*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 2*v**3 - 2*v**3 + (2*v + v - v)*(-2*v**2 - 2*v**2 + 2*v**2) + v**3 + v**3 - 4*v**3 + (-3*v + 2*v + 3*v)*(-2*v**2 + v**2 - v**2).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7660*p + 3341*p + 4319*p - 22*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344 - -346. Let v be q\/(-13)*156\/(-48). Put v, 0.05, 2\/3 in ascending order.\nAnswer: 0.05, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3271451*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p + 3 = 0. Let h be -4 - -3 - p - 0. Calculate the remainder when 8 is divided by (50\/15)\/(h\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - (22 - 9)) + (-4 - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 times -39207?\nAnswer: -10036992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -43 - 4*r + 53 + 3*r. Let u be j(6). Let o be (-3066028)\/(-21) - u\/3. What is o rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 222\/(-37) - (-13 + 7). Let n = -4.1 + -0.9. What is the closest to y in 2, n, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, q: 5, j: 8}. What is prob of picking 2 a and 2 q?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 11100451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*-13*-4. Let l = 17 + d. What is the remainder when ((-6)\/l)\/((-1)\/(-24)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**5\/10 + m**4\/2 + m**3 + m**2 + m\/2 - 11. Factor n(y).\nAnswer: (y + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -1272*o + 1279*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -789.1 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -68. Calculate the lowest common multiple of 50 and k.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-12)*-1*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 528*o**3 + 656*o**3 - 1190*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284708 divided by 321177?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 505940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 6*a**2 - 2*a + 7. Let s be -1 + (-26)\/(1 + -3). Let w be 0\/(-3*4\/s). Suppose 0*r = -5*r - 3*h + 18, 5*r - 2*h - 38 = w. Give n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 86?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -106, -0.1, -13, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 13*j - 74. Let r be y(-12). Solve 0 = -31*g - 71 + r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.77 + -3.4531.\nAnswer: -77.2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 696.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 - 5*w**2 - 6*w**2 + w**2 + 4*w**2 - 4*w**2 + (0 + 0 - 1)*(1 - 1 - w**2) to q*w**2 + i*w + b and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t - 2. Let u(b) = 2*b**2 + 25*b - 12. Let n be u(-13). Determine z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100001111110001110 (base 2) to base 16.\nAnswer: -e1f8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a + 22*a + 41*a + 39*a - 1 + 7*a in the form q*a + s and give q.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0079344872 to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 8. Let w be s(-7). Suppose 0 = 9*v - 6*v + 2*u, 0 = -v - 5*u - 13. Put -4, -2, w, v in ascending order.\nAnswer: -4, -2, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10580972651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((5 - 0) + -11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/60 + h**4\/4 + h**3\/2 - 3*h**2. Let x be o(-5). Calculate the remainder when 39 is divided by 1 + -9*(1 + x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**4 - 12*x + 0 + 3\/20*x**5 - 1\/2*x**3 + 0*x**2. Factor g(h).\nAnswer: 3*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (1 + -9 + 2). List the prime factors of (11\/g)\/(5 - (-1251)\/(-252)).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**3 + 209*f**2 - 279*f - 9952. Let v be d(-42). Factor 0*b - 111\/4*b**4 + 0 - 57*b**3 - 3*b**v.\nAnswer: -3*b**2*(b + 2)*(37*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 8. Let m be t(-4). Let x(a) = -a**2 - 4*a + 5. Let c be x(-4). Suppose -2*h - g = 11 - 4, 0 = -g - c. Put h, -2, m in descending order.\nAnswer: h, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231769 and 2597.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*d + 1. Let u(l) = -5*l - l**3 + 3*l**3 - 3 + 3*l**3 + 6*l**2 - 4*l**d. Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + ((sqrt(2156)\/sqrt(4))**2 - (-3 + sqrt(704)))) + 2.\nAnswer: -2688 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (1 + -4 + sqrt(2057) - ((-3*sqrt(2057) - sqrt(2057)) + -1))**2.\nAnswer: -220*sqrt(17) + 51431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 895*l + 142740 - 71140 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9*28\/(-24)*(-4)\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a**2. Let v(d) = -6*d**2. Let x(z) = -4*v(z) + 5*w(z). Find the third derivative of x(r) wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in millimeters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293908899?\nAnswer: 3, 241, 406513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42884, -40134, -37400, -34688, -32004, -29354, -26744, -24180?\nAnswer: -21668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 30*a + 5. Let t be q(-15). Let s(k) = -k + 12. Let c be s(15). Let m(h) = h + 4. Let o be m(-3). Sort t, c, o in descending order.\nAnswer: t, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 28*v - 181. Let q be a(-17). Suppose -3*p + q = 3*o, 2*p + 5*o = 8*o + 9. Let f(i) = 13*i. Let j be f(-1). Is j less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*t - 26*t + 1806 + 2394 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 10\/7, -1\/6, -4, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.31 + -13.61. Let y = s + 13.3. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i + 11. Let a be w(3). Suppose 2*j - 37 = -n, 5*n - 3*j = -0*j + 172. Let u = 35 - n. Solve u = o + o - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 + 6914*f**3\/5 - 461038*f**2\/5 + 454126*f\/5 = 0.\nAnswer: 0, 1, 67, 3389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*z + 3*z + 48, -5*z + 186 = -4*k. Suppose 33*j = z*j - 18. Suppose i + p - 4 = j, -2*p = -5*i + 103. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53412 + 88412. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 11. Let b = -27 - -36. Let a be n(b). What is the third derivative of -3*l**a - 3*l**3 + 11*l**2 - l**3 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 466273.589 and 4.76?\nAnswer: 466268.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8474.747 years in months?\nAnswer: 101696.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 6*y + 5*v + 20 = 0, 5*y = -3*v - 12. Suppose j + 3*m - 9 = y, -5*m - 96 = -5*j - 3*m. What is the remainder when 61 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 + 8?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -45*z**3 - 6*z**2 + 15*z + 10. Let j(o) = -224*o**3 - 33*o**2 + 75*o + 55. Give -11*c(m) + 2*j(m).\nAnswer: 47*m**3 - 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16958 is divided by 57.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -7 + 10*w**2 - 3*w**3 - 5*w + 4*w + 4*w + 4*w**3. Let u be q(-8). Let n = -55 + u. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8184 = -248*v - 434*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12087*g**3*i**3*v + 7*g**3*i**2 - 1221*g**2*i*v + g*i**2*v - 2*i**3*v wrt g.\nAnswer: -72522*i**3*v + 42*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5940, -23931, -53924, -95925, -149940, -215975, -294036, -384129?\n\"Answer: -n**3 - 5995*n**2 + n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -3, 4, 0 in descending order.\nAnswer: 14, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w**3 + 6*w**3 - 7*w**3 + (-2*w**2 + w**2 + 0*w**2)*(4 - 4 + w) + (-w + 0*w + 2*w)*(-2*w**2 - 3*w**2 + 4*w**2) + 2*w**3 + 4*w**3 - 5*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7197*x - 969 = 7248*x for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r - 3. Let q be z(-6). Suppose -9 = -b - 3*m, 4*m - 10 = -4*b + q*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(l - 9*l - 3*l + (-608*l + 484*l + 342*l)*(4 + 1 - 6)) in the form q*l + d and give q.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 16 = -2*m - 0, 3*m - 1 = 4*k. Let u(t) = t. Let b(i) = -8*i + 6. Let z(n) = n - 1. Let v(w) = -b(w) - 5*z(w). What is k*u(j) - v(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 3*i + 3, -2 - 3 = 5*h - 3*i. What is the lowest common multiple of (-1 - 10\/h) + -3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.5 + 23.61.\nAnswer: 17.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*17\/(136\/10)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 307, 300, 293, 286, 279?\n\"Answer: -7*h + 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 842 + -886. Is o less than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 17. Let y(q) = -q**2 + q + 1. Let m(l) = -3*l - 3. Let v(o) = -m(o) - y(o). Does 15 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - -28. Let y = 46 - 131. Let v = y + b. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2234598*a - 704 = 2234313*a - 28634 for a.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10 - -3) - (19 + (-9 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 18 - (5 - (-5 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651.6 + -11387339.21.\nAnswer: -11386687.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -481 divided by 625\nAnswer: -481\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7291479, 29165838, 65623101, 116663268, 182286339, 262492314, 357281193?\n\"Answer: 7291452*o**2 + 3*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = 0, x + 5 = 2*r + 13. Suppose -3*t + 7 = m, -4*t = -2*m - 3*t + 21. Solve -x*y - m = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 344779336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 9*i**2 + 4*i\/5 + 36.\nAnswer: -(i - 2)*(i + 2)*(i + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 82*k**2\/5 + 176*k - 160.\nAnswer: 2*(k - 20)**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48573698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370460 is divided by 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -716\/11 - -16347\/253. Calculate the common denominator of 194\/(-24) + 86 + -75 and o.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -90\/1609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = t - 8. Is 58 a factor of 14\/(-21) - ((-695)\/3 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 6, -2*s - 20 = 3*s - 5*g. Let n(d) = -d**2. Let l(x) = 8*x**2 - 3*x. Let r(k) = s*l(k) - 14*n(k). What is r(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuj when three letters picked without replacement from {j: 7, u: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-7) + 22 - (7\/(-3))\/(26\/702)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*c - 5, -4*c + 5*o = -2*c + 2. Let h(t) = 41*t + 3. Calculate h(c).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**2 - 455*j - 404. Is f(95) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 8 = 2*h, 9*h - 6 = -4*f + 7*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (1 + sqrt(832) + -3 + sqrt(832) - sqrt(832))**2 + (sqrt(832) + -1*(-1 + sqrt(832)))**2*-3 + -4.\nAnswer: -32*sqrt(13) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + (0 + -3*sqrt(684) - sqrt(684)) - (sqrt(684) - (sqrt(684)*2*5 + sqrt(684)))) + 1*(-1 + sqrt(684) + -1)*2 + 4)**2.\nAnswer: 55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/5)\/c**(3\/10))\/(c**11\/(((c**12\/c*c)\/c)\/c)) assuming c is positive.\nAnswer: c**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 + 127. Put -5, -1, m, 3 in decreasing order.\nAnswer: 3, -1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvi when three letters picked without replacement from mmmmmmmiumimvvmviv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14355)\/(-609))\/(-55))\/((-18)\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {g: 2, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 13*f**2 + 2*f - 28. Let w be n(12). Calculate the highest common divisor of 105 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o - 3808 = -3*o. Let i be (6 - o\/20)\/((-2)\/(-280)). Calculate the greatest common divisor of 154 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -y - 12, 4*d + y + 2*y = 34. Calculate the remainder when 66 is divided by (-1287)\/(-77) - (-2)\/d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9369 - 4158. Let o = 5189 + a. Round o to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1272)\/(-1696) + (0 - (-56945)\/4)?\nAnswer: 23, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 11, 2\/19, 28\/5, -4, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51074598 to the nearest integer?\nAnswer: 7147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295576 - 1490832. Suppose 0 = -0*m + 2*m - 3530512. Let z = m + t. Round z to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*a = -87949412 + 381949406, 3*a - 588000009 = -2*n. What is n rounded to the nearest one million?\nAnswer: 294000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -b2?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1 + 0*n + n - 3*n. Let a(z) = z. Let q(y) = 5*a(y) + 3*w(y). Let l(k) = 1. Calculate 5*l(u) + 2*q(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b84301 + 0?\nAnswer: -b84301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4919290*v - 29515730. Give s(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/40*(-294)\/4851.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 + 2 - 2. Let q(j) = -6*j - 1 + j + 0. What is the units digit of q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 5:01 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1729.\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 158445356 divided by 4\nAnswer: 39611339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)\/sqrt(2))\/sqrt(2)*1)\/(sqrt(8)\/(sqrt(2) + 2*sqrt(72))))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 23*a - 4. Let s be r(-21). Let p = s + -38. Suppose 0 = -5*d + 2 - 17. Sort p, d, -4 in decreasing order.\nAnswer: p, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -93937121 - -4?\nAnswer: -93937117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3892.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*w + w. Solve 2*h + w = -2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 4\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**2 - 130*q - q**2 + 130*q. Let p(j) = -3 + 2*j**2 + 3. Determine i(p(u)).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**4\/4 + 8*c**3\/3 + 5*c**2\/2 - 10*c + 28. Let j be k(-7). Solve 0 = -6*y + 10*y - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1221567?\nAnswer: -1221566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1*4\/8. List the prime factors of 3 + -4 + k + 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + (6 - 4) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5318*a**2 - 3*a + 646182 wrt a.\nAnswer: -10636*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-175)\/(-10)*10\/25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202443 (base 5) to base 9.\nAnswer: -33460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 3*x**6\/2 - 4*x**2 + 6. Find the second derivative of d(r) wrt r.\nAnswer: 180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.025337 and -143.33.\nAnswer: -143.304663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -603 by 603.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 6020?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -2.2. Which is the second smallest value? (a) 2\/7 (b) -2 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3))*1 + -5)**2.\nAnswer: -10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 1\/2*o**2 + 1\/2*o.\nAnswer: -(o - 2)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04948 rounded to 3 dps?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - (15 - (17 - -9)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -46, 2, -3 in ascending order.\nAnswer: -46, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-3 - (-44)\/12). Suppose 3*z - 3*x - 72 = 0, -x - 48 = -c*z + 3*x. List the prime factors of z\/3 + (2 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) - (-15 + -3). Suppose 0 = h - 0*h - m. Suppose -n - w + h = 2*n, 5*w = 25. Solve 5 = -n*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3887465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5409*f - 25 = -5414*f. Solve f*b + 604 = 599 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + q**2 + q. Let m be t(0). Suppose 0*s + 3*s - 36 = m. Solve 2*j + 37 - 9 = 5*n, 4*n = -j + s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 12 + 65 + 508*a**3 - 517*a**3.\nAnswer: -9*a**3 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 15. What is w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 492 + -414. Calculate the highest common factor of 48 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2. Let o(p) = -24872*p + 24872*p + 227*p**2. Calculate o(d(f)).\nAnswer: 2043*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650 - 163*y - 645 + 1295.\nAnswer: -163*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 8 - 1 - 1 + 2 + 0 + 2 + 1 - 5 + (2 - 2 - 2)*(-2 + 1 + 2))*(0*p**2 - p**2 + 0*p**2) + 1318 - 1318 - 23*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*h - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(8775\/(-50)) - (1696\/72)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 2*z + 2*z + (-4 - 2*z + 4)*(44 - 120 + 40) + 2*z + z - 2*z + (1 - 1 - 2)*(-13*z + 8*z - 14*z) - 2*z + 7*z - 2*z in the form w + x*z and give x.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 19. Let r(a) be the second derivative of -a**3\/6 - 5*a**2 - 17*a - 10. What is r(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a + 3*a - a - 10. Suppose v - 2*o = 0, -4*v - 10 - 10 = 2*o. Let d(r) = -r - 2*r + 0 + 3. Calculate v*f(z) - 14*d(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22.10391 and 989.8193.\nAnswer: 1011.92321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(4\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 12\/24 + 47\/(-2). Let a = -24 - u. Suppose -5*v + a*v - 4*i + 23 = 0, 0 = 3*i - 6. Solve q - 9 = -t, -4*t + 29 = v*q - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - d - 46 - 4, 5*y - 84 = d. Let p = 20 - 7. Suppose -f + 19 = 4*h - 18, -h + f + p = 0. Calculate the remainder when y is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -966383\/8 + 120798. Determine f so that f**2 + 0 - 3\/2*f - g*f**4 + 5\/8*f**3 = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {d: 2, t: 2, o: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31 - 131*a**3 - 2*a**2 + 4*a**2 - 22*a - 8 + 4*a - 14 wrt a?\nAnswer: -786*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 13924.\nAnswer: 1\/3481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/4 - 6*i**3 + 255*i**2\/2 - 28*i + 23. Factor k(x).\nAnswer: -3*(x - 5)*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*l = 15, -5 = 2*s - l + 1. Let v(m) = -m**2 - m**2 + 7*m + 5*m**2. Let b(u) = 4*u**2 + 8*u. What is s*b(i) + 6*v(i)?\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 15*b**3 - 3*b**3)*(3*b**2 - 7*b**2 + 13*b**2 - b).\nAnswer: 90*b**5 - 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 30 + -14 - -23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690054 is divided by 310.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -21\/5, 0.5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 12. What is the tens digit of j(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -4.370334.\nAnswer: -0.629666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*c - 0*c. Does 21 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 - 2*y + 11. Let c(d) = 2*d**2 - d + 5. What is -9*c(l) + 4*r(l)?\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 210 = 15*y. Suppose 45 = 3*s - y. Solve 4*m = 3*a - 14, 3*a + 10 - s = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 8, 3, -3\/7, 2\/15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3811644 and 1348?\nAnswer: 1284524028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/621 + -9685\/45954. Let j = -326069\/48670 - 2\/4867. What is the common denominator of j and c?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -5*k**4\/4 - 11*k**3\/3 + 9*k**2\/2 - 4650. Let z(c) = -11*c**3 - 23*c**2 + 19*c. Determine -13*x(o) + 6*z(o).\nAnswer: -o**3 + 5*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 3*g - 215870 + 215870.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 = o + 52, -18 = -f + o. Does 7 divide (-70)\/4*f\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -78*f - 72. Calculate d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13100506 and 47.\nAnswer: -6.15723782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:23 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14130, -15580, -17990, -21360?\n\"Answer: -480*i**2 - 10*i - 13640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.074 - 1.926. What is the third biggest value in 1, t, 0.2, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 9 - 5 + 3*u - 4 to t*u + c and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 10*z - 13. Does 3 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.67 - 1.8\nAnswer: -3.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 167220 and 6660.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -4229da?\nAnswer: -4229d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4)\/n*n*n\/((n\/n**(1\/8))\/n*n))**(-44) assuming n is positive.\nAnswer: n**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let p = 8 - y. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14091, -53483, -119129, -211023, -329159, -473531?\n\"Answer: s**3 - 13133*s**2 - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 4 (b) 1057 (c) -1\/2 (d) 5 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 42 = -17. Suppose -29 = y*n - 9. Let p(w) = 5*w - 76 + 270 - 74 - 37 - 76. Let u(j) = -2*j - 3. What is n*p(g) - 9*u(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 122*p - 1487. Determine v(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = 0, -4*a - 2*r + r + 2528 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3*g. Suppose 4*f + 0*f - 8 = g. Let w be f\/7 + (-976)\/(-14). Calculate the highest common factor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from {f: 1, g: 3, d: 3, j: 2, n: 1, q: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/17 - 63242*m\/17 + 175048280\/17.\nAnswer: 2*(m - 28556)*(m - 3065)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 31831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 - 60*b**2 - 63*b + 122 = 0.\nAnswer: -2, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f**2. Let t(k) = -k + 1. Let a(z) be the first derivative of -3*z**2 + 7*z + 41. Let w(s) = 5*a(s) - 35*t(s). Give m(w(h)).\nAnswer: -250*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 0.04.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1757 - 14031\/8. Let y = 1840 + -12909\/7. What is the common denominator of y and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*n = 49*n - 756. What is the highest common divisor of 56 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61 (b) 0.8 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 447.2\nAnswer: -1788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 364 in 6\/11, -3, -2, 1.75?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 94129484.\nAnswer: 1\/94129484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 8. Let u be i(13). Let z be 2808\/(-30) - (-3)\/u. Let g = z - -96. Solve -18 = -5*y - g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - d - 4 + 1. Let x be n(7). Suppose -k + 4*s = -101, -x*k + 343 + 48 = -3*s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-38)\/(-76))\/((24\/(-544))\/3))\/((-1)\/2).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 9. Let r = f - -3. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/4*3\/(-3). Let q(r) be the second derivative of -5*r**3\/3 + r**2\/2 + 11*r + 4. Give q(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6 - 1295\/798. Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + u + 2)*(-3*u - u + 0*u + (0*u + 5*u - 4*u)*(0 + 0 + 3)) to the form n*u**2 + q + m*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 - -58. Let q(d) = -d**3 - 12*d**2 - 23*d - 31. Let k be q(m). Put k, -11, -3 in descending order.\nAnswer: k, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q - 2045 = -36*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -255*t + 613. Calculate the remainder when 6797 is divided by x(2).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.20564 - 0.14975. Round i to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32394*g**6 - 15*g**3*q + 27504004*g**2*q wrt g.\nAnswer: -3887280*g**3 - 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 8*d**2 + d + 10. Let a be v(-8). Is 20 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 11 + 9. Suppose 5*c - j*p + 716 = 0, c + 3*c + 2*p + 580 = 0. Is c at least as big as -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514755, 4117815, 13897551, 32942301, 64340403, 111180195, 176550015, 263538201?\nAnswer: 375233091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, e: 4, y: 1, t: 8}. What is prob of picking 2 e and 1 y?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 5, x: 15}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = 4*q. Let g(y) = -16*y - 5. Let w be g(-15). Suppose -w = -5*d + 5*s, -q = d + 5*s - 22. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 21, 0.3, -0.939?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30415933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-435)\/(-1450))\/(12\/50)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:08 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -398.8 + 347. Let h = o + 48. Let t = h - -3.81. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlxxxlrlddqxjxj. What is prob of sequence xrdq?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fuufffuuff?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 836?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074064154 to 5 decimal places.\nAnswer: 0.07406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.62 - -1.92. Put a, 4, 5 in descending order.\nAnswer: 5, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 4*s**2 - 17*s + 90. Let n be h(4). Suppose -108 = -28*c + n*c. Calculate the remainder when 41 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (94\/(-8))\/((-4)\/16). Suppose -5*v + 105 = 2*g + 40, 0 = -2*v - 5*g + r. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-28)\/31) - (-28)\/(-49)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.526*-5.\nAnswer: -42.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y + 7. Suppose 20 = 6*u - 2*u. Let w(p) = p**2 - 5*p + 6. Let j(i) = u*o(i) - 6*w(i). What is the derivative of j(q) wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(6) + sqrt(24))\/sqrt(12) + 2 + 2.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 220.7243675 to the nearest integer.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -33, 5, 97, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 289854503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252636 and 6882.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*u - 8, -132*u + 134*u + 5*p = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*f = 428 + 2692 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) 2\/3 (c) 0.2 (d) -0.5 (e) 0.0066 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 q, and 1 j when three letters picked without replacement from bqbjbqqbb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - y. Let c(r) = r + 4 + 2*r**3 + 0*r**3 + 2*r**3 + 4*r**2. Let u(a) = c(a) + 5*h(a). What is u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 1713228 + 1713228.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 12. Let v(p) = -20*p - 17*p + m*p - 3. What is the units digit of v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000011111001 (base 2) to base 13.\nAnswer: -1c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 514*u**2 + 1588*u + 19121. What is t(-517)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 4*r**2 + 3*r - 7. Let z be n(4). Suppose 25 = z*g + 5*q, -4*g + 0*g + 21 = 5*q. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 15799*u\/2 - 63228.\nAnswer: (u - 15807)*(u + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -9 - (0 + 11 + (251 - 257)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 12*z**2 - 5*z**2 - 100.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -37403?\nAnswer: 37408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -4664 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5491, -1, -24154 in decreasing order.\nAnswer: 5491, 2, -1, -24154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000130659 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 5)*(-4)\/(-52). Is -0.1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 12*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/1*(-2883384)\/(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 532 = -519 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, -1, 3, -64, -2 in decreasing order.\nAnswer: 41, 3, -1, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 35 - 9*n - 12 - 16.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.8 - -1.8. Which is the nearest to -2\/5? (a) -0.1 (b) g (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1474270 is divided by 1128.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 7*c**5\/120 + 29*c**3\/6 - 14*c. Let w(l) be the second derivative of y(l). Let n(z) = -3*z**2. Calculate w(n(f)).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 43. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171358453.\nAnswer: 3, 11, 65798741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, s: 1, p: 1, m: 2, e: 9}. What is prob of picking 1 e and 1 m?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a + 2. Let d be h(-5). Suppose -l = d*l - 6. Suppose 4*o - y - 57 = -6*y, -5*o + 63 = -l*y. What is the remainder when 37 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -100001000100?\nAnswer: -100001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3213)\/(-102) - 27)\/(1 - 5\/6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6, 7, 8, 9?\n\"Answer: r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**4\/8 - n**3\/3 + 2*n**2. Let h be z(2). Put 3, -3, h in descending order.\nAnswer: h, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (148\/(-8) + -1)\/(6\/12). Let s be (-3 - o\/11)*22. Solve 4*f - s = -4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3329?\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.124, 1, 4, -1085, 2?\nAnswer: -1085","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a*a**5)**(-4\/11) assuming a is positive.\nAnswer: a**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or 4\/129?\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33269?\nAnswer: 17, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 104, 14, 2\/213?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 31 - 13 - 20 - 3*i**2 + 22*i - 10. Let w = 2 - -5. Let h be s(w). Which is the closest to -2\/3? (a) 1 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42002039 divided by 2729?\nAnswer: 15391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/2 (b) 2\/7 (c) -417 (d) -0.4 (e) 11 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - y)*(-1 + 1 + 1) + y + 4*y - 7*y - 2*y - 2*y + 5*y + (1 - 5 + 2)*(-5*y - 11*y - 13*y))*(0*y**3 + 2*y + y**3 + 0*y).\nAnswer: 56*y**4 + 112*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 337250 and 230.\nAnswer: 7756750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 451655120 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 - (78 + -108) - 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4025 and 2358328.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 1092*x - 36042. What is p(33)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 80 = 3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12284 + 12284 + 246*q**3 + (-4*q**3 + 0*q**3 + 5*q**3)*(-3 - 4 + 5) - 4*q + q**3 + 4*q - 5*q as a*q**3 + d*q + x*q**2 + t and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 437*y**3 - 1785*y**3 - 6542*y**3 - 1146*y + 2013*y**3 wrt y.\nAnswer: -35262*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + ((-9)\/(-6))\/(4\/(-8)). Let z = 6 + -8. Let c be (-9)\/39*2\/z. Are s and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 3503 = -3423 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -205.45 and 0.1?\nAnswer: -20.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 4 = 11*k. Does 27 divide (-654)\/(-8) - k\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3*y**2 - 1750*n**3*y + 3*n**3 + 5*n*y + n - 2008607*y**5 - 6 wrt y?\nAnswer: 4*n**3 - 40172140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-236)\/(17 - 43\/((-1720)\/(-1480))).\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00206154346 rounded to seven dps?\nAnswer: -0.0020615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 44. Let w be x(14). Suppose 66 = -9*v - w*v. Let s(u) = u + 10. Let o(z) = 1. Let h(k) = -4*o(k) + s(k). Calculate h(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.47 + -1.63. Let p = -238.1 - -240. Let d = q - p. Which is the biggest value? (a) d (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -286*j**2. Let k(n) = 19*n**2. Suppose -4*g + 6*c = 5*c + 26, -3*c + 24 = -3*g. What is g*a(t) - 91*k(t)?\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4319.656cm to millimeters.\nAnswer: 43196.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -9, -6.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246237 plus -0.4?\nAnswer: 246236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 6) + (2 - -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkpeeezzkkezpnzkp. What is prob of sequence pk?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104450 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -93, 3, -558 in descending order.\nAnswer: 3, -72, -93, -558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s = -3*l + 93, -4*l + 119 = -s. Solve 0 = -5*b - 10 + l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7548471 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 4, 0.5, -95?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13.1 in 1\/299, 3, 1, 1\/2, -2\/5, 241?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 311 = 78*h + 80 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.130048 - -0.13. Round w to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/422?\nAnswer: -3\/422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 141. What is the remainder when 153 is divided by (-1700)\/(-65) + (-10)\/k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/8*(-10)\/(-3). Suppose 9946 = -2*x - 0*x - s, -4951 = x - z*s. Let u = -2534 - x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/2)\/((-215)\/(-86) - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 3, -3, 2\/5, -202?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612413.\nAnswer: 2612413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 587 - 573.4. Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2)*x*x*x)\/(x**(-2\/17)\/x*x))\/(x**(-1)\/x)**(1\/3) assuming x is positive.\nAnswer: x**(346\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = z + 6*j - 11642, -23209 = -2*z - 5*j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 183 = 3*y, -4*y - 3*f = f - 236. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-x + 3*x + 0*x)*(7 - 3 + 1) + 4*x - 3*x - 2*x - 1 - 2*x + 1 + 23 + 30*x - 23)*(-5*x**2 + 2*x**2 + 2*x**2).\nAnswer: -37*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 7*i**2 - 3*i - 9. Suppose 0 = -3*y - 12, -13 = -2*l + 4*y + 19. Let z be s(l). Suppose -352 = -4*a + 5*n, -a + 44 = 2*n - z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(605\/(-132))\/55?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 21*o = 3*o. Solve o*h = 4*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105284093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6558 (base 14) in base 5?\nAnswer: -1030042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15018161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 30 = -3*j, 0 = 3*i - j - 34. Let l(m) = m**3 - 3 - 19*m**2 + 27*m**2 + 0*m**3 - i*m. What is the units digit of l(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 420 = -k, 5*y - 5*k + 1118 - 418 = 0. Is 3 a factor of (-2)\/6 + y\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 238 - 48. What is the greatest common divisor of k and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -284.3, 2856.1, -2 in decreasing order.\nAnswer: 2856.1, -2, -284.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7839 and 442962.\nAnswer: 29678454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o = 264*o + 128*o - 106063. Let w = 22 + 63. What is the highest common divisor of o and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*2*(-48)\/(-36). Let n(t) = -t**2 - 9*t - 1. Determine n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 759*q**2\/4 + 52609*q\/4 + 51849\/4.\nAnswer: -(q - 823)*(q + 1)*(q + 63)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 4, l: 1, b: 3}. Give prob of picking 2 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 7612?\nAnswer: -7611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10\/(-76))\/5)\/(20\/432*27).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10777 plus -30208?\nAnswer: -19431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4998627091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*k = 2, 6*k = 5*u + 12*k - 6. Let o be 2\/5 + (-8)\/(-5). Solve o*m - 3*m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhllllllllh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 244426363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470513 times 0.0449?\nAnswer: 21126.0337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 k when three letters picked without replacement from {a: 2, k: 1, f: 2, y: 2, b: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u + 20. Let h(l) = 2*l - 24. Give 2*h(n) + 3*t(n).\nAnswer: -2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20143 - -21440?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 3*v**2 - 4*v**2)*(43*v - 5*v**2 - 43*v) + (1 - 2*v - 1)*(7*v**3 + 5*v**3 - 2*v**3).\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 6.8?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -79, -171, -335, -595, -975, -1499?\n\"Answer: -4*x**3 - 16*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:51 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 40 = -29. Let x = -9 + s. Suppose 2*n = -2 + x. Let b(t) = -4*t**3 + 5*t**2 + 5. Let l(w) = -5*w**3 + 6*w**2 + 6. Calculate n*b(q) - 5*l(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 18*m - 16.\nAnswer: -2*(m - 8)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14*(-63)\/147)\/100*-4\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 84204.\nAnswer: 673632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -183240, -1465916, -4947470, -11727342, -22904972, -39579800, -62851266, -93818810?\n\"Answer: -183240*p**3 + p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((y\/y**(2\/17))\/y)\/y)\/y)\/y)\/y*y\/y**(2\/77))\/((y*y**(-2\/11))\/y**(1\/39)) assuming y is positive.\nAnswer: y**(-200945\/51051)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03558? (a) 110\/3 (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559239.4 micrometers to meters.\nAnswer: 0.5592394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 11:18 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*t - 17 = -0*t, 3*h = -2*t - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.06 (c) -8821\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 12 = -62. Suppose a*h = 4*d + 108, 5*d - 135 = -2*h - 3*h. What is the remainder when 47 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*q + 10, -4*l - 4*q = -9*q + 12. Suppose -l*x + 20 = 3*x. Let -3*u**2 - 5*u**4 + u + u - 3*u - 3*u**3 + x*u**4 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214971 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 206954499?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1124 - 4533?\nAnswer: -3405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -6.58 (c) 187\/6 (d) 4 (e) -1\/9 (f) 1 (g) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.6 + -36. Let i = 5 - k. Let q = -9749\/70 - -1397\/10. What is the biggest value in i, q, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1522025*d**4*m - d**2 - 4*d*m - 19*d - 1497*m - 3 wrt d.\nAnswer: -18264300*d**2*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 294 = 714. What is the tens digit of (260\/p)\/((-2)\/108)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*q - 10 = 0, 3*q - 16 = 5*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143.59 - -143. Let i = 0.11 + g. Let q = i + 0.47905. What is q rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 4. Let z(r) = -r + 19. Let h(y) = y - 10. Let j(n) = 5*h(n) + 3*z(n). Let c(f) = -3*j(f) - 5*q(f). Determine c(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 9*l + 32. What is i(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 221*y + 2*y**2 - 221*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -3\/5*l**5 + 0*l**2 + 48 + 8\/3*l**3 + l - 4\/3*l**4 + 8\/15*l**6 - 2\/21*l**7. Suppose x(i) = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.2. Let m = -0.3 - u. Which is the closest to 1\/4? (a) 5 (b) -0.1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 + u - 2. Let v be c(-2). Factor 2\/7*o - 1\/7*o**2 + v.\nAnswer: -o*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -12, -18, -24, -30, -36?\n\"Answer: -6*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 543273103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 - -162 - (-2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*l + 4 + 70 = 0, -2*a = -l - 80. Suppose a + 39 = 10*j. Solve 4*p + j = 0, 0 = -2*y - 7*p + 4*p - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 + 6*o. Let u(k) = -k**3 + 9*k - 4. Let q be u(3). Give r(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 440 - 171. Suppose 919 = 3*y - p. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6286 - 6286. Is x <= 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-4)\/(-2)))\/(((-24)\/2)\/36)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 13) to base 6\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33207 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s. Suppose s = 6*d - 3*d - 27. Let b = 78 + -53. Calculate the remainder when b is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16789896 by 155462.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788368.3mg to nanograms.\nAnswer: 788368300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 3*z**2)*(1 + 0 - 2) - 101*z**2 + 219*z**2 + 75*z**2)*(3 - 2 - 2 - 1 + 2 - 3 + (5 - 2 - 4)*(0 - 1 + 0)).\nAnswer: -380*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 9:41 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -40. Solve -a*r = 2*g + 2, 3*r + 0 = g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a**2 - 2*a**2 + (-2*a**2 - 3*a**2 - 5*a**2)*(0*a + 2*a - a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 + 2 = 0. Let z be -3*(-5)\/(-3)*(7 - 0). Let g = z - -35. What is the nearest to g in t, -2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3338 - 2822. List the prime factors of d.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4937836?\nAnswer: 2, 83, 107, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oojo when four letters picked without replacement from {j: 5, o: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**4\/12 + 2*g**3\/3 - 5*g**2\/2 + 3*g. Let p be v(4). Put 0, p, 5 in ascending order.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/11 - 2*x**4 - 68*x**3\/11 + 16*x**2\/11 + 320*x\/11 + 256\/11 = 0. What is x?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -21, -22, -27, -42, -73?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v + 3 = 3*s, 2*v + 4 = 4*s. Let b(z) be the second derivative of -z**3\/3 + z**2\/2 + 2*z. What is b(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/5 + 2424*z**2\/5 + 477*z - 29052\/5.\nAnswer: 3*(z - 3)*(z + 4)*(z + 807)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132470809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s - 4. Let w = 6 - 10. List the prime factors of c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*j - 1, 3*i = -4*j - 44. Suppose 226 = 4*r + 2. Let d be r\/i + 2 - -2. Which is the second smallest value? (a) d (b) -8 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-2 - 85))\/((-2)\/6). Suppose 0 = -3*l + o + 54. Calculate the highest common factor of 75 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20760*q + 27991 with respect to q.\nAnswer: 20760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77, 27, 193, 415, 687, 1003, 1357, 1743?\n\"Answer: -v**3 + 37*v**2 - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*d + 3*d, -4*g = 3*d + 16. Let h = 10 + d. Solve h*u = 5*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.7 + -4.9. Let c = m - -17.59999869. What is c rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15701*s**5 - 18*s**4 - 5*s**3 + 62353964*s**2?\nAnswer: -942060*s**2 - 432*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*w**4 + 440*w**3 + 3*w**2 - 4*w - 12 wrt w?\nAnswer: -120*w + 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -44*(5 + (-27)\/6) - 2. Let i be 0*((-3)\/v)\/(3\/12). What is y in i + 0*y**2 + 1\/3*y**3 - 1\/3*y**4 + 0*y = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.8. Which is the closest to 0.1? (a) p (b) 2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/((a\/a**(1\/5))\/a*a)))\/a*a)\/a**(3\/8))**(13\/3)*a**6*(a**(5\/3)\/a)\/a*a*a*a**(2\/5)*a\/a**(1\/4) assuming a is positive.\nAnswer: a**(1279\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - ((10 - -126) + -13 + 15)) + 1.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1023 - -3?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:02 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 22 + -1 - 32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 5*m + 4. Give t(-5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3007, -3019, -3045, -3091, -3163, -3267, -3409?\n\"Answer: -u**3 - u**2 - 2*u - 3003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 5, 2\/7, -1\/3, 1\/5, -65?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 3*l + l + 31*l**2 + 2*l.\nAnswer: 31*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2169*m - 2176*m = -52976. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 3)*(0\/6 + -1). Which is smaller: v or 7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165670000 rounded to the nearest 1000000?\nAnswer: 166000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 26*v**2 - 10*v - 3. Let p(r) = -r**2 - r + 1. Let o(l) = n(l) + 3*p(l). What is the second derivative of o(x) wrt x?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 7 = -5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 458598*b**3*c**3 + 22*b**3*c + 2*b**2*c**3 + 2*b**2*c**2 - 496146*b**2*c - 7*b*c**3 + b*c wrt b?\nAnswer: 2751588*c**3 + 132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + w + 3. Let i be g(2). Suppose b - 6*b + i = 0. Suppose b*y - 16 = 3*y. What is the remainder when 14 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10638 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 6*x. Let h be (-14)\/3*(-15)\/2. Suppose t + 0 - 1 = 0. Suppose 2*o + t + 0 = l, 5*o - h = -5*l. What is v(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 + 6*m - 4. Let h be d(6). Let z = h - -131. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 441, 435, 429, 423?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3892*o**3 + o**2 - 8*o + 518 wrt o.\nAnswer: -23352*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 36. Let b(w) = 13*w - 5. Let i be b(5). Let u = i + -13. Calculate the remainder when u is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 337111 - -8?\nAnswer: 337119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8759 - 8753. Calculate the smallest common multiple of 5766 and m.\nAnswer: 5766","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309147053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(285) + (sqrt(285) - sqrt(285)*2*-6) - sqrt(285))\/sqrt(5))\/((sqrt(12)\/(sqrt(2) + sqrt(8)\/sqrt(4)))\/(sqrt(64)\/sqrt(2) + sqrt(32))).\nAnswer: -416*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 140 - 27*m - 49 - 48 to u + b*m and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/7 - 4424296*i\/7 - 1223399693476\/7.\nAnswer: -4*(i + 553037)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 92?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8399045910 + 5203.\nAnswer: -8399040707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 71665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 2*i - i + (23 + 3 - 7)*(-3 + 3 + i) - 3*i - 2*i + i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:32 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -174.24 and 3.\nAnswer: -171.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) 77 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30458814.\nAnswer: 2, 3, 151, 33619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(88)\/(sqrt(128)*-2) + 3)*-3)**2.\nAnswer: 135*sqrt(11)\/4 + 7659\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-3)\/t*t**(-4)*(t*t*t*((t**(-1)\/t*t)\/t)\/t)**(-36) assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 3 - 348474*h + 348476*h + 8*h**3 + 2*h**4 + 2 to b*h**4 + v*h + u*h**2 + p + w*h**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*d + 70*d + 292*d + 117*d.\nAnswer: 394*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/24 - x**5\/3 - 5*x**4\/8 + 15*x**3 - 166*x**2. Determine k so that l(k) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -4)\/((-1)\/2). Let a = 1 - n. Suppose h - a*h = -8. Let u(c) = c + 4. Give u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - 6. Suppose -4*l + 55 = -5. Solve 2*x + h*x = l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + (-21 - -24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 + 748*k**2 - 29900*k + 342500 = 0.\nAnswer: 25, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 + 30. Let b = 29 + u. Let z(t) = -3*t + 13. Does 12 divide z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 2*w. Let v be n(-3). Suppose -d = 0, -d = -3*z + v*d. Suppose -2\/3*a**3 - 2\/3*a**4 + 0 + z*a**2 + 0*a = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 3d?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8064)*2 + sqrt(8064))*2)\/(-2*((sqrt(288) - (sqrt(288) + (4*sqrt(288) - sqrt(288) - sqrt(288)))) + sqrt(288) - sqrt(8))))**2.\nAnswer: 1296\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36059, 36109, 36175, 36263, 36379?\nAnswer: 36529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 11. Suppose -5*i - 3*d = -k*i - 3, 3*i = 5*d + 23. Let t = 388 + -368. What is the least common multiple of t and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4212 and 194724.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538980?\nAnswer: 2, 3, 5, 13, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b39fde + 1?\nAnswer: 7b39fdf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 284\/(-6) - 3\/(-9). Let m = z - -40. Let y(t) = -t**3 - 5*t**2 + 9*t - 3. Let u be y(m). What is u rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13923441 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12))**(-1\/15)\/(q**(4\/9)*q*q*q**(-3)) assuming q is positive.\nAnswer: q**(61\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 6, a: 3, p: 4}. What is prob of picking 2 p, 1 a, and 1 m?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1494 divided by 1922.\nAnswer: 747\/961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/25 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {d: 3, n: 2, k: 2, l: 1, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 48*v = -77 - 76. Determine m, given that -3\/2*m**2 + 1\/2*m**4 + 0*m + 0 - m**v = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(-3 - 7\/(-3)). Suppose 0*m = -v*b + m + 1268, -1260 = -2*b + 5*m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589539?\nAnswer: 3, 41, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1305 - 1304.73572. What is d rounded to 2 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 3. Let x be l(1). Suppose 0 = -j - x*j + r + 135, 4*r - 135 = -5*j. What is the remainder when (-42)\/6*(1 - 12) is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-18))**(-41)\/(i**(-8)\/i*i**15) assuming i is positive.\nAnswer: i**732","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (881 - 881 + 19*i**2)*(i**3 + 0*i**3 + 0*i**3).\nAnswer: 19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 4, 9278, 5, 1, -2.\nAnswer: -2, 1, 4, 5, 46, 9278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -182766 times -0.1\nAnswer: 18276.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, i: 2, g: 1, j: 1, p: 2, o: 2}. What is prob of sequence aipg?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -62. What is the remainder when 50 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-77)\/(-4) + (-4)\/16. Let z be ((-2)\/(-4))\/(-4*(-1)\/288). Suppose z + s = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-9)*-3*-63. Let m = v - 19. Let x = 8 + -5. Solve m*a = -x*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 41*u - 4930*u**3 + 4931*u**3.\nAnswer: u**3 + 41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 12 = 0, -2*j + 3*s + 5 + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*m - 11, 5*m + 5*b + 14 - 39 = 0. Suppose 45*g = -20*g - 40*g + 29*g. Solve -y + 6*y - 14 = 2*l, g = y - m*l - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -54\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 3)*(-335*r - 981*r - 976*r)*(0 - 1 + 4).\nAnswer: 20628*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2261, -4531, -6801, -9071, -11341, -13611?\n\"Answer: -2270*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1412 + -1483. Let n = 71.04990899 - 0.04881899. Let z = n + b. Round z to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 8*k - 7. Let a be u(-6). Let c = -3 + a. Suppose -12800 = 4*h + r + c*r, -12800 = 4*h + 4*r. What is h rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 6, u: 7}. What is prob of picking 3 x?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1252, 3076, 4912, 6760, 8620, 10492?\n\"Answer: 6*x**2 + 1806*x - 560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/2857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*l = -55*l + 9751. What is the tens digit of 3\/(21\/l)*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -376*a + 110*a - 310*a - 8640 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2843 + 2900. Let f = 56.9943 + 0.0657. Let k = f - a. Sort -2, -3, k in descending order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2819269 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10075 - -10075.2. Which is the nearest to 0? (a) 5\/2 (b) -9\/5 (c) -4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*b = -116, 0 = r + 2*r - b + 121. Let z be 186\/(-1 + 4) - 1. Let w = z + r. Calculate the remainder when 36 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.9008 and 1526859374.\nAnswer: 1526859375.9008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 + 6*h + 10*h - 191 + 119 + 145*h**2 - 17*h to n*h**2 + w + i*h and give n.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -35, -62, -89, -116, -143?\n\"Answer: -27*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 13*s**2 - 18*s + 4. Let a be p(-14). Suppose 2*g + 0*g - a = -5*f, 4*f - 20 = 4*g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2831*v**3 + 2837*v**3 - 11256*v**3 + 2827*v**3 + 2791*v**3.\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015.\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2079, 1875, 1669, 1461?\n\"Answer: -i**2 - 201*i + 2281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = w - 2. Let x(b) = -30*b + 302. Let k be x(10). Put k, -3, w in decreasing order.\nAnswer: w, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -22, 13764\/49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -3*z**5\/20 - 9*z**4 - 29*z**3\/2 + 315*z**2 - 209*z - 21. Factor t(i).\nAnswer: -3*(i - 2)*(i + 3)*(i + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Put -1\/8, w, -2\/13 in decreasing order.\nAnswer: w, -1\/8, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s - 2 = 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Suppose 0 = j*d - 11 - 1014. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*u - 12. Let i(m) = -m**2 + 5*m - 1. Let f be i(u). Suppose f*s - 20 = -5*w, -5*s - 6 = 2*w - 26. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1419*v + 361*v + 241*v + 72450 = 296*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 6:49 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5031.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = -3*t + 4*g, 0 = 3*g. Solve -19*m - t = -22*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747954?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccnupc. Give prob of sequence pucc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3035141318 to the power of 1\/2, to the nearest integer?\nAnswer: 55092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51972 and 71248.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from kkfffffkkf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64636*f = -64637*f + 1515. What is the greatest common divisor of 9 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.41 + -8.41. Sort -5, 2\/7, a, -2\/3 in increasing order.\nAnswer: -5, a, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 + 56\/(-12))*36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -145690*h**2. Let q(u) = -22*u. What is m(q(s))?\nAnswer: -70513960*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 1. Let x be p(-1). Suppose -54 = -x*w - 0*w. Let j = w - 34. Is j bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9905758 is divided by 90?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13880779 divided by 1?\nAnswer: -13880779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {u: 2, l: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/392 + 1\/(-1 + -3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -6231b?\nAnswer: -62318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -b049b1 (base 12) in base 7?\nAnswer: -32223232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -105650 * -6.\nAnswer: 633900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 8)*(3*f - 6*f + 2*f)*(0*f - 4*f + 3*f) in the form s*f**2 + h + w*f and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8929760 and 100.\nAnswer: 44648800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 204 = 12*k. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - u**4 + 393*u**2 - 2*u**4 + 2*u - u**4 - 44*u**2 + 5*u**4 in the form x + y*u**3 + b*u + f*u**4 + v*u**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 23746*k + 1780975. What is s(-75)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*k - 247 - 48, 5*k + 2*c - 473 = 0. Calculate the remainder when k is divided by 54\/15*40\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -9\/2231?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/4)\/n*n)\/(n*n*(n\/n**(-5))\/n))\/(n**7\/n**4) assuming n is positive.\nAnswer: n**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164.6 - -143. Let j = 3.6 + v. Let m = j + 0. Is m less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/260240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -278 (b) 3 (c) -9\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(2 + -1 + -1*sqrt(637) + 6*((sqrt(637) - (sqrt(637) + sqrt(637) + 0)) + sqrt(637))*-4))**2.\nAnswer: -5600*sqrt(13) + 255200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in -0.4, 5.6, -3, 23457?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**3\/6 - 6*m**2 + 111*m + 2. Calculate f(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6242558.\nAnswer: 2, 7, 127, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178321*d**4 + 2*d**3 - 2996306*d**2 wrt d?\nAnswer: -4279704*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 + 11 = 0. Let o = 2 + -1.2. Let k = o - 1. Which is the biggest value? (a) k (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 83861 = -83619 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1951, 3619, 5287, 6955?\n\"Answer: 1668*b + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -12. Let x = -12 + 9. Which is the nearest to -2\/5? (a) l (b) -1\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.12 * 5\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5772\/12987)\/(8\/(-10)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(72)\/sqrt(3))\/sqrt(2))\/((sqrt(120) + sqrt(30))\/sqrt(10)))\/(2*sqrt(8)*-5 - sqrt(24)\/(sqrt(3) + sqrt(12)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + ((sqrt(1088) - (sqrt(1088) + -3 + -2 + sqrt(1088)) - sqrt(1088))*-5 - (sqrt(187)\/((sqrt(132) + sqrt(132)*2)\/sqrt(12))*4)**2)).\nAnswer: -2060\/9 + 320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from cctcccttct?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 747 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2614382.\nAnswer: 2, 479, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0695 times -1112?\nAnswer: 77.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:04 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (114\/(-5))\/6 + 4. Factor -1\/5*o**3 + u + 1\/5*o - 1\/5*o**2.\nAnswer: -(o - 1)*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -35024230?\nAnswer: -525363450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3 + 5103*d**2 - 2172600*d + 2167500 = 0. Calculate d.\nAnswer: 1, 850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(9100\/(-39)))\/(2\/(-4)*-3).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 7:32 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 398728 and 253?\nAnswer: 398728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + r + 1 + 17)*(2*r**2 + 0*r**2 - 3*r**2 + 0*r**2 + r**2 - 2*r**2 + (1 - 2*r - 1)*(-3*r + r + 4*r) - 2 + 2 - 2*r**2).\nAnswer: -8*r**3 - 168*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -455 - -483. What is the first derivative of -41 - 48 - 167*x + 1 + a wrt x?\nAnswer: -167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28970 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p + 39. Let g be w(17). Suppose 0 = -g*o - 10, -2*o + 2954 = 4*n + 3*o. List the prime factors of n.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(320) - (1 + sqrt(320)))**2 + sqrt(320).\nAnswer: 3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 6*n + 3. Let v(y) = 2*y**2 - y. Determine d(r) + 5*v(r).\nAnswer: 6*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27206 - 26629. Calculate the remainder when v is divided by 145.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67934421 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - 0\/((-9)\/3). What is the highest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -1 (c) 2\/17 (d) -243 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5, b: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10928, 87741, 296234, 702245, 1371612?\n\"Answer: 10973*j**3 + 2*j**2 - 4*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 15*j + 19. Suppose -3*q = -q - 32. Let t be v(q). Is (t\/6)\/(5\/70) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/10*4\/2. Let b = 1 + s. Let w(z) = -2*z**2 - z**b + 2*z - 3*z. Calculate w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (-24)\/36. Let t be (-178)\/(-4) + -4*b\/(-8). Let m be (-8)\/t + (2 - (-48)\/22). Let z(h) = -h**2 + h + 4. Calculate z(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(42)\/(sqrt(6) - (sqrt(36)\/sqrt(6) - sqrt(6))) + sqrt(7)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 626, -0.4, 0.2, -1\/4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -71, -245, -539, -959, -1511, -2201?\n\"Answer: -t**3 - 54*t**2 - 5*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - m**2 + 2*m + 4. Let u be ((-15)\/10)\/((-1)\/(-2)). Let l be s(u). Let z = l - -4. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 15 = 3*r. Let z be (2 - r) + 258 + 0. Let g = 376 - z. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -25. Solve n = 6*g - 4*g - 7, 0 = -2*n + 3*g - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5136672 and 80?\nAnswer: 25683360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -22121210?\nAnswer: -22122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*(sqrt(204)\/(-1*sqrt(12)) - (sqrt(68)\/sqrt(4) + -3)))**2.\nAnswer: -240*sqrt(17) + 1844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - y - 24 = 8*y + 149, -45*k + 4*y + 78 = -47*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) -1\/2 (c) 5 (d) 153 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x - 8. Let v(n) = n**2 - 4. Let q be v(3). Let k(p) = -3*p - 10. Let d(h) = -6*h - 19. Let g(t) = -3*d(t) + 5*k(t). Determine q*r(j) + 6*g(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 5, -2, -4, -3, -229 in ascending order.\nAnswer: -229, -28, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4673154 (base 10) to base 13\nAnswer: -c780a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 7*v - v)*(-v + 18*v + 0*v).\nAnswer: -119*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9775 and 14807.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - r. Let s(u) = 2*u**3 - 7*u**2 + 10*u + 71. Let w(b) = 3*a(b) - s(b). Let l be w(-11). Are l and -48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**3 + 11*x**2 - 17. Let p(j) = 5*j**3 + 4*j**2 - 6. Let u = -12 + 18. Let q(m) = u*o(m) - 17*p(m). Find the third derivative of q(c) wrt c.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 + 3*f**2 - 4*f + 3. Let l be j(2). Let b be (15\/l)\/((-2)\/10). Solve 0 = 5*x - 7 - b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*(r**(-4\/7)*r*r)\/r)**(-10)\/(r**(-6\/11)*r*r*r**(-14\/11)\/r) assuming r is positive.\nAnswer: r**(-2577\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-1) - (-8)\/128*0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 125 - 241 = 5*g + 30, -83 = 7*r - 4*g - 404 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 489 + -478. Put h, -4, 2 in descending order.\nAnswer: h, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 22265*g**2 + 366*g + 366. Let q(o) = 305*o**2 + 5*o + 5. What is -366*q(n) + 5*u(n)?\nAnswer: -305*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 + 232. Solve 4*v = 4*a + j, 3*a + 9 = -0*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + w + 100, -3*t - 4*w + 128 = 0. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/(-14) + 24\/42. Suppose -2*k + 387 = -4*b + 1173, 4*b + w*k - 779 = 0. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p - 344*p - 1445*p + 277*p.\nAnswer: -1544*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 1066 - 338 - 348 = 347 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 less than 1690\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 25961499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q + 3*q)*((q + q + 0*q)*(-1 + 2 + 0) + 5*q + 2 - 2) - 4*q**2 + 4*q**2 - 4*q**2 - 2*q**2 + 2*q**2 - 2*q**2 + (-2*q + 0*q + 3*q)*(0 + 0 + q).\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 2. Let a(k) = 7*k + 5. Let r(v) = -4*a(v) + 10*c(v). Let m = -165 + 184. Let l(g) = -22 + 22 + m*g**2 - 55*g**2. What is l(r(j))?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/((((g\/g**(-40))\/g)\/g)\/g))\/(g\/g**(2\/67)))**(1\/8))**(3\/25))**(-2\/11) assuming g is positive.\nAnswer: g**(7431\/73700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-12) + 3\/9)*104. Suppose 5*v - 47 = -d. Sort v, -5, -2.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339015409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 754704544*h**2 + 754854234*h wrt h?\nAnswer: 1509409088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*-3*-3)\/(3*sqrt(72)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/5 of a millimeter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3498451 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 4:41 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1224\/120 - 5)\/(6\/15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 at most as big as 726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -370*q + 367*q + 1028 + 2130 to the form g + s*q and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -14645 greater than -14643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let p(o) be the third derivative of o**3\/6 + 3*o**2. Let j(u) = 2*u + 5. Let x(f) = -j(f) + 4*p(f). Calculate x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125737271 rounded to 4 decimal places?\nAnswer: 0.1257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2)\/(o**(-2\/23)*o))\/(o\/(o*o**1)*o*o**(-3\/2)) assuming o is positive.\nAnswer: o**(25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1971 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/24)\/((-10)\/4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612489.\nAnswer: 3, 204163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -51586 and -51592 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59777\/2982 - -188\/213. Is b > -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1640\/1397?\nAnswer: 1640\/1397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*n + 20, -i - 6 = 2*n - 10. Suppose -w + i*w + 12 = 0, 2220 = 5*t - 5*w. Does 55 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.9 * 0.3\nAnswer: -3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 53\/(4\/(-12)*-1). Suppose k + 4*k - h = -3*v, -101 = -3*k + v. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 54*v**2 + 399*v + 7. Give x(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 646*g**2 + g. List the prime factors of l(2).\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -78 + 6 + 17.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*c - 46*c + 12*c)*(-22 + 22 - 8*c**2) to p*c**2 + f + s*c + w*c**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9632 - 0.0368. Sort -0.4, 0.6, k in descending order.\nAnswer: 0.6, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.53805l in millilitres?\nAnswer: 41538.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.99737 rounded to 1 dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u**2 + 3*u. Let j(q) = -198*q**2 - 55*q. Let t(w) = 55*c(w) + 3*j(w). Let k(l) be the third derivative of l**4\/24 + l**2. Give t(k(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16760286 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100 + 1412581*p + 100.\nAnswer: 1412581*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a + -1?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 3*g**2 - 1. Let o be h(-6). Suppose -o + 9 = -2*b. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506364 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (1 - -2)) + (12 + -3 - 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 2*z + 24 = 30*p, -3*z = -2*p - 23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 3 + -1)*-25. Suppose -y - 25 = 4*g, l = -6*y + y. Let w(f) be the first derivative of f**4\/4 + 2*f**3 + 2*f**2 - 2*f - 1. Calculate w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*c**2 + c**2 - 6*c**2 as q*c**2 + y + n*c and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2577688 less than or equal to -2577606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2735861 - -25.2731161. Let t = j + -25. Round t to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -431\/2 + 218. Suppose 16*f + 4*l + 6 = 14*f, f - 2*l - 9 = 0. What is the nearest to -2\/3 in t, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/24 - f**3\/3 + f**2 + 4*f + 104. Let z(j) be the second derivative of u(j). Calculate z(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 0 + 4*sqrt(147) + (sqrt(147)*2 - sqrt(147))*-2 + 5)**2.\nAnswer: 896*sqrt(3) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1924631731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55491 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*i - 130. Suppose -w - i = -2*r, 5*r - 3*w - 103 = w. What is the remainder when r is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-25 + 12 + 13 - (1 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.155 - -0.36. Let m = 0.4 + 1. Let l = q - m. Round l to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -2)\/(-4)*4. Suppose 25*n - 30*n = -10. Let t = -2 + 1.8. Which is the biggest value? (a) t (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -85650, -167815, -249982, -332151?\n\"Answer: -h**2 - 82162*h - 3487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/(7 + -3) - (-7 - 0). Suppose -2*a = -4*j - 76, -k*a - 5*j = -0*a - 59. Is a\/12*-3*(-79 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 2*j**5 + 2*j**5 + (-j + j + 2*j**2)*(-j**3 + j**3 + 2*j**3) - 21127*j + 21127*j + 483*j**5 - 2*j**5 + j - j.\nAnswer: 483*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(5 - 17\/3). Suppose -6*f = a*f - 784. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 6 + 2. Which is smaller: 5\/8 or t?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 9. Let g(o) = o + 3. What is the units digit of g(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from hshhshlpshshshlphh?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-4 - (-4)\/1). Sort -2, z, 4 in increasing order.\nAnswer: z, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q - 4. Let f be a(2). Put f, -1, 4 in descending order.\nAnswer: 4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57229889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) -2\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = y - 840, -y = -3*o + 840. Suppose -l + 549 = -90. Let u = o + l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2428 + 13?\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*0 + 1. Suppose t = -3*i - t - f, 1 = -i - t. Is i not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 29*m**3 - 723*m**2 + 12*m**3 + 724*m**2. Give i(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w. Suppose w*b + b = -217133. Let p = b + 312133. What is p rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5 - (95 - 10)) + 7 + (-48 - -37)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 0.2, -5\/4 in decreasing order.\nAnswer: 157, 0.2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 2*a - 4. Let k be d(-5). Let g = -2 + k. Let w(i) = -i**2 - 2*i + 1. Let q be w(-2). What is the highest common factor of q and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 25*h**2 + 45*h + 8. Give p(-23).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 19 = f, -2 = 2*i + 5*f - 12. Factor 3*g - 3*g**3 + 0*g**3 + i + 35*g**2 - 72*g**2 + 22*g**2.\nAnswer: -3*(g - 1)*(g + 1)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174 divided by 3572.\nAnswer: -87\/1786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1287 divide 291886414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, y: 1, c: 3, s: 1, p: 3, q: 2}. Give prob of sequence cybs.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.0834 - 24.083295209. What is b rounded to six dps?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -42 - 126 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228)\/324*9 - (-2)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5900.7 + -5899. Which is the closest to 0.2? (a) 0.3 (b) q (c) 2\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 41, 47, 51, 53?\n\"Answer: -z**2 + 11*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2. Let k(f) = -3*f**2 - 9. Let h(b) = -2*k(b) - 9*o(b). Let n(l) = 43*l**2 - 22*l**2 - 20*l**2. Give n(h(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**3\/j)*j\/((j*j**14)\/j) assuming j is positive.\nAnswer: j**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Suppose -4*b - y + 9 = 0. Let v be (1 - -3)*(0 + 1). Solve i - b = v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*i - 24 + 1\/2*i**3 + 13\/2*i**2.\nAnswer: (i - 1)*(i + 6)*(i + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**3 - 18*x**3 + 27*x**3.\nAnswer: 35*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(931) + 1 + sqrt(931) + -1 + sqrt(76) + sqrt(19))**2 + 6*(((-2*sqrt(133) - sqrt(133))*4 - sqrt(133)) + sqrt(133))\/(sqrt(175) + sqrt(175)*-2).\nAnswer: 72*sqrt(19)\/5 + 5495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -586.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 10. Let f be 0*(3 + 15\/(-6)). Calculate the smallest common multiple of o(f) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -506 - -514. Sort 4, -5, i, 19 in decreasing order.\nAnswer: 19, i, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y - 22. Let w be k(11). Suppose -5*i - 20 = 0, c + i + 2*i - 337 = w. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 3, -15, -33?\n\"Answer: -18*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14777303*b**3*u**2 + 2*b**3*u - 2*b**2*u + 57501*b*u + 3*u - 1 wrt u?\nAnswer: 29554606*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1716368 divided by -429092.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1520)\/160 - (-18)\/3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 58*h**3 + h**2 - 39*h + 313. What is the units digit of y(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 538 + -538.3. Which is the closest to 3\/2? (a) 0.5 (b) z (c) 0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - (-5 - 0)) + (-28)\/12. Let r = 5.3 + -5. What is the closest to 0.3 in -3\/5, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 40*d**3 + 19*d**2 + 5*d - 5. Let q(w) = 40*w**3 + 19*w**2 + 6*w - 6. Give -6*h(p) + 5*q(p).\nAnswer: -40*p**3 - 19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (4 + -2))*0. Suppose 2*i = 3*i + 23. Let q = 25 + i. Solve q*s = 2*g - s + 11, -5*s + 25 = p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -902 + 3858. List the prime factors of m.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c - 5*c. Suppose -27 - 17 = -4*f. What is the least common multiple of f and (-58)\/c + 6\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010111100 (base 2) to base 10\nAnswer: -1724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/25*(2 - 0\/1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -6*j**4 + 317316261*j**3 + 793290678*j**2 + 634632549*j + 158658138 = 0.\nAnswer: -1, -1\/2, 52886046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 100 = -2*y. Suppose -25 + 789 = -4*o. Let n = y - o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1007 + 1376 - 366 + 0*c**2 - 3*c - c**2.\nAnswer: -c**2 - 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 17 - 19)*(-1 + 1 + 2*q) - 6 + 5*q + 6.\nAnswer: 53*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -11 - (6 + -931 - 3). What is the greatest common divisor of c and 264?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1731790, 3463312, 5194834, 6926356?\n\"Answer: 1731522*t + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19866\/462 + -3 + -3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) 2\/15 (c) -0.95 (d) -0.2 (e) 0.23 (f) 73 (g) 1.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 27666*v - 16344*v + 13943*v + 13422*v in the form j + p*v and give p.\nAnswer: 38687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmovmqpmpoqompvmmqpp. Give prob of picking 1 p, 2 v, and 1 o.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -7*t**5\/20 + t**4\/4 + 7*t. Find the third derivative of x(m) wrt m.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -154, -253, -368, -499?\n\"Answer: -8*s**2 - 59*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1106, -3, 33, -4 in descending order.\nAnswer: 33, -3, -4, -21, -1106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41320, -82663, -124018, -165385?\nAnswer: -206764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n + 19. Let l be d(-17). What is the smallest common multiple of 93 and (-84)\/280 + l\/(-20)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17965241*f**3 + 17796009*f**2 wrt f.\nAnswer: -107791446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - -0.05. Suppose 0 = 2*y + n - 4, -76 = 3*n - 70. Which is the second biggest value? (a) p (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/5 - 4353116*t\/5 - 2368702363682\/5 = 0.\nAnswer: -1088279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38783 is divided by 58.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**20\/x)\/x**(-7) assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/4 + 39*x**3\/2 + 421*x**2\/4 - 249*x\/2.\nAnswer: -x*(x - 83)*(x - 1)*(x + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 + 0*o**3 - 197 + 614*o - 1227*o + 613*o + 3*o**3 as c*o + l*o**3 + v*o**4 + w*o**2 + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/5*i - 3\/5*i**2 - 27\/5 = 0. Calculate i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -546, -544, -540, -534, -526?\n\"Answer: m**2 - m - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((((q*q\/(q\/(q**(2\/69)\/q))*q)\/q*q)\/q)\/q*q)*q**(-1))**(-4\/11) assuming q is positive.\nAnswer: q**(8\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y**(1\/2))\/y))**(-25)\/(y**19*y*y**(7\/5)) assuming y is positive.\nAnswer: y**(-339\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 n when four letters picked without replacement from nnxfnfnfnnnnffnnn.\nAnswer: 165\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206405*f**5 - 64 - 41*f**4 - 27*f + 128*f**4 + 34*f**4 + 206396*f**5 + 64*f**4 wrt f.\nAnswer: -180*f**3 + 2220*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 2*x = 48, -x - 106 = 4*w. Let k = w - -32. Solve -f - k = 2*f, 0 = 3*y - 3*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3912 = -240. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1250*-367.\nAnswer: 458750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 963*v**2 - 4*v - 1915. Let j(u) = 1929*u**2 - 10*u - 3830. Let p(m) = -2*j(m) + 5*w(m). Differentiate p(f) wrt f.\nAnswer: 1914*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b - 35*b + 162 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 2*z - 5. Let r be y(-5). Let d = r + 145. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from {t: 2, b: 1, l: 1, z: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47009662 != -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3681*o - 1836*o - 1846*o + 1 - 1.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -762 + -2172. Let l = j + 4981. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x - 4. Let m(f) = 3*f. Let b be m(1). Let i be z(b). Let w(l) = l - 5*l + i*l. Calculate w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/174675 and -19\/232900.\nAnswer: 698700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - 3*a**3 - 2*a**3 + (0 + 0 - a)*(-3*a**2 + 4*a**2 - 2*a**2) + 4 - 4 + a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 155174346.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let u(y) = 72396*y + 72395*y - 144787*y + 161. Calculate s(u(g)).\nAnswer: 4*g + 161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 11, s: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p - 15. Let b be (-33)\/(-9) + (-2)\/3. Let y be b\/(-3) + -6 + 1. What is the smallest common multiple of q(y) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 15 = -3*s + p, 3*p = -5*s + 11. Suppose 0*f - 4*j + 106 = 2*f, -2*j - 222 = -s*f. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4*k**2 - 5)*(12 - 10 + 44)*(-4 + 2 + 3).\nAnswer: -184*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 78*k - 168.\nAnswer: 3*(k - 2)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 94.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*d - 6*d. Suppose -j - 3*n + 9 = 0, -2*j + 6 = 5*n - 10. Put j, d, -6 in ascending order.\nAnswer: -6, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -4\/3, 184, 4\/5, 2\/7, -37 in descending order.\nAnswer: 184, 3, 2, 4\/5, 2\/7, -4\/3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i - 18. Let s be m(-3). Find the common denominator of -5 - -3*43\/s and 19\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/3 greater than 6\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2599 and 565.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1912433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260221 (base 7) in base 3?\nAnswer: 22102102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 0, -k + 4*u = -7 + 3. Let p be 2\/(-3) - k\/(-3). Let d = 5 - 7. What is the third smallest value in p, -3, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, 1\/5, 2, -0.4447 in increasing order.\nAnswer: -5, -0.4447, 1\/5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b - 37 + 11*b - 2*b)*(4 + 4 - 3)*(3*b + 0*b - 5*b)*(2 + 3 - 1).\nAnswer: -80*b**2 + 1480*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12604 = 5*k, -2*c - 2092 = -3*k + 5464. Suppose -31*i + k = -28*i. What is i rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -586215 minus -67?\nAnswer: -586148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 4, -1152 in increasing order.\nAnswer: -1152, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9414395 = 4*u, 8623762 - 1562977 = -3*u + 3*t. What is u rounded to the nearest 10000?\nAnswer: -2350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a2 (base 13) in base 7?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 164 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5213, 10454, 15695?\n\"Answer: 5241*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4291 + -4352.4. What is the second biggest value in -3, c, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29392*u = 29364*u - 364 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -24. Let k = 12 - p. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9685?\nAnswer: 5, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1184 and 922720.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*w**3)*(-w + 4*w - w)*(-3 - 2 + 0) + 3*w**4 + 0*w**4 - 2*w**4 to v*w + q + f*w**3 + d*w**4 + t*w**2 and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 115*q + 6*q - 1495 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39329*m**3 + 39773*m**3 - 79106*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46056)\/(-2828) + (32\/(-63) - (-8)\/36). Solve -3826 = b*j - 3890 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 503, 828, 721, -142, -2085, -5432, -10507?\nAnswer: -17634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 + -12)) + -9 + -45 + 54?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -323.7.\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 221100 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (65\/15 - 5)\/(64\/246) and 109\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82457 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/99 and -83\/1089104?\nAnswer: 107821296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t**(2\/3)\/t)))**37)**(-20))**(-2\/13) assuming t is positive.\nAnswer: t**(-1480\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13823 less than -46?\nAnswer: -13869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2965 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2826 and 17334.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - b + 5 = 2*b, -j + 5*b + 30 = 0. Suppose j*p + 385 = 5*q, -5*p + 2 = -8. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose 4*a + 2 = -x - 1, -6 = -g*x + 4*a. Put x, 4, 3 in ascending order.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*t - 3. What is the common denominator of 91\/21*-1 + 0 and (-14)\/(t + -3 - 25)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, 0, 3\/4, 3, 1.52?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g + 5. Let r be y(8). List the prime factors of ((-3 - -3) + r)\/(-1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 - 3*h + 29. Let a be f(0). Suppose -4*k + 48 = -5*p, 0*k - 3*k + a = -2*p. Let r(g) = 3*g - 8. Calculate r(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12475 + 12474.7. Which is the closest to -2\/7? (a) -3\/5 (b) l (c) -2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -17*h**2 - 74*h + 2. Let u(v) = -8*v**2 - 72*v + 3. Calculate -2*k(s) + 3*u(s).\nAnswer: 10*s**2 - 68*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2942 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, -1141 in increasing order.\nAnswer: -1141, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 at most as big as 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:48 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8) + (89 - 98)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 13*q + 16. Let y be a(14). Suppose g + l = 9, 3*g + 2*l = 8*g - 10. Sort 1, g, 0, y.\nAnswer: 0, 1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-1)**2 + -4 - (-2*sqrt(13)*3 - sqrt(143)\/(-2*sqrt(11) + sqrt(11)))**2.\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25538 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x**4\/5 + 126*x**3\/5 + 23*x**2\/5 - 126*x\/5 + 8\/5 = 0. Calculate x.\nAnswer: -1, 2\/31, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*f = 1652 + 2164. Suppose 5*j = -2*o - 1, -3*o = -4*j + j - 9. Factor -f - 57*t - 9\/2*t**o.\nAnswer: -3*(t + 12)*(3*t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 + 9*g - 4. Let m be 46\/8 + 8\/32. Suppose -2*p + 52 = 3*p + 3*j, -2*p = 5*j - 36. Calculate the lowest common multiple of p and c(m).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/4)\/(0 + -3). Let u be (-2)\/(-3) + (-2)\/(-12). Which is the third smallest value? (a) u (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3001 + -23321103?\nAnswer: -23313102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + 1 - (-18 - -13). Solve 4*f - 5*u = -f + 45, -u = -5*f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + x + 2. Let v(i) = 12*i**2 + 3*i + 6. Let j(a) = -3*r(a) + v(a). Let w(t) = -5*t + 30. What is w(j(y))?\nAnswer: -15*y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 11898566540772?\nAnswer: -11898566540771.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -864 (base 16) to base 2.\nAnswer: -100001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let c(b) = -y*b**2 + 5*b - 3*b**2 + b**3 + 4*b**2 - 4 - b**2. Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Let x = 0.0834 + 4.9166. Let t = -0.31 + 0.32. Which is the closest to g? (a) -2 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**5 + c**3 + c**2 - c. Let f(u) = 8*u**3 + 8*u**2 + 12*u. Let n(j) = f(j) - 8*t(j). Find the second derivative of n(o) wrt o.\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -4.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115558734?\nAnswer: 2, 3, 19259789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f = -22 - 298 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2990315 weeks to microseconds.\nAnswer: 180854251200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76261 divided by -5.\nAnswer: 76261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 56. Let z(y) = 0 - 10*y + 9*y + y**2 - 3. Let f be z(4). Solve -2*q = -2*w - 2*w + 10, -3*w + f = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -647, -1435, -2539, -3959, -5695, -7747?\n\"Answer: -158*r**2 + 2*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8325 and 3015.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 - 4)*(-3 + 1 + 1)*(0*s - s + 2*s).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f**3 - f**2 - 2*f - 2. Give r(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*i - 2*i + 100, -c + 85 = 2*i. Let y(d) = -d**2 - 13*d - 7. Let f be y(-9). Let k = f - 13. Calculate the remainder when i is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*u = -7 + 91, 4*l - 3*u + 78 = 0. Let o = l - -33. Let b(y) = -o*y + y**2 + 15*y. Let i(d) = 2*d. What is i(b(x))?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrqr when four letters picked without replacement from {r: 5, y: 3, q: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/10*(-2627)\/74*90\/3. Solve f*z = 850*z - 18 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-594)\/120)\/11 - (-1)\/4. Sort -0.19, l, -0.4 in descending order.\nAnswer: -0.19, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*n - 7*n - a, 3*n - 3*a = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from mzzzzzmmzmzzmzmzmmm.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*l - h, 4*h = -17 + 1. Suppose 56*j - l*j = 80. Suppose -y + j = 2*y - n, y - 8 = 3*n. Calculate the remainder when 22 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4690 = 5*m, 5*m = -21 - 4. Let a = o + 3681\/4. Calculate the common denominator of (-5)\/10 + (2 - -37) and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -19, -0.1 in increasing order.\nAnswer: -19, -1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*n - 2 = 12, n + 12 = -4*a. Is 1\/(a\/(-17432))*7\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93.6984 + 0.3016. Sort -4, 0, a, 0.4 in descending order.\nAnswer: a, 0.4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -334, -504, -674, -844?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 25. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2651*j + 26738. Calculate u(11).\nAnswer: -2423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 19 and 48.4185.\nAnswer: 67.4185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/20*(-135)\/(-18). Suppose -4*x = 11 + 29. Let s = -7 - x. Which is the second smallest value? (a) s (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -681377*0.05\nAnswer: -34068.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z + 0*z)*(0 - 1 - 1)*(-31 - 40 - 48)*(2 - 1 + 2)*(-3 - 2 + 3).\nAnswer: -1428*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 156520, 313133, 469746, 626359?\n\"Answer: 156613*n - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-4)\/(-10) - (-716)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426516*w - 426550*w + 853042*w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/19, -203, 0.29?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3170 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419351118.\nAnswer: 2, 3, 37, 79, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 0*w)*(-633 - 1369 - 5368 - 1432 - 1272).\nAnswer: 10074*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-12 - (-35 + 7) - 14 - (5 - 5)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264493 by -50.\nAnswer: 264493\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*v - 40583 - 10769, 5*v - 3*j - 64217 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0 - 3 + 7)*(-3 - j**4 + 2*j**4 + 1) + (j**2 - j**2 - 2*j**2)*(2*j**3 + j**3 - j**3).\nAnswer: -j**5 + 4*j**4 - 6*j - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:29 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*z + 6364 - 19937, -3 = -z. What are the prime factors of u?\nAnswer: 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 267. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*o = -18, o + 15 = 5*h - 3*o. Let m(t) = 9*t**2. Let i be m(h). Is 8 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -3 (c) -8\/17 (d) -875\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymj when three letters picked without replacement from {g: 1, x: 1, m: 3, j: 1, y: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.09*-352\nAnswer: 31.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 85 = w, 0 = 5*i - 7 - 8. Suppose w*c - 78*c = 2. Suppose 4*y = -j + 94, 2*j + 11 = c*y - 41. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-2088)\/(-29))*(-3)\/(-3)*40.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*x**4 + 11*x**2 - x + 17433?\nAnswer: 140*x**3 + 22*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*-10*3465\/2750.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-35))\/(3\/42). Let p(x) = -x**2 + 13*x + 11. Let k be p(m). Let q = 43 - k. Calculate the highest common divisor of 220 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 3:36 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1523135929.\nAnswer: 7, 217590847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*f - 31, -4*f + 2*g = g - 16. Suppose 0 = -f*h + m + 322, 2*h - 312 = -3*h - 4*m. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 151213, 151225, 151251, 151297, 151369, 151473, 151615, 151801?\n\"Answer: o**3 + o**2 + 2*o + 151209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 174\/4*12\/9.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 88 - 82 = 0. What is the closest to -1 in 0.1, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -9, 15*r - 12 = 10*r + 4*x. Is -1\/794 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 21 = -16*o. Let v = o + 22\/3. Sort v, 0.3, 35 in increasing order.\nAnswer: 0.3, v, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104856 - -104853. Let d(f) be the third derivative of f**4\/24 - f**3\/6 + f**2. Calculate d(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47586 = 4*x - 18*x. Suppose -x = -3*b + 684. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 - 4. Let k be m(2). Let h = k - -115. Is h a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/242956 and 103\/1540.\nAnswer: 13362580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 6*o**2 - 18 + 3*o**2.\nAnswer: -o**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:08 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 252*j**2 + 9*j. Let b(m) = -126*m**2 - 4*m. Let x(q) = -9*b(q) - 4*v(q). Let l(p) = 2*p**2. Calculate x(l(n)).\nAnswer: 504*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 16*f + 881 - 504 - 377 - 16*f.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.15669 to 0 dps.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010817 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10788? (a) 0.1 (b) 0.01 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 17*x**2 - 6*x**2 - 12 + 3*x - 4 + 13*x. What is the units digit of b(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.0254945.\nAnswer: -0.101978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1233*t + 854. What is the units digit of k(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 8:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -112, 640.29, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7085 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: b\"What is the rth term of -15, -10, -5?\n\"Answer: 5*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 75293987 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-1038)\/(-36) + (-2)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 2*l - 4*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:50 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4666\/2379 + 1\/4758. Let i = -88317\/14 - -6305. Find the common denominator of i and z.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -7 - (7 + 9)) + 7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/34440 and -107\/30?\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + r + 3*r. Suppose 3*u + 0*u + 3 = 0. Let k(n) = -n**3 + 4*n**2 + 4*n + 4. Let z be k(5). Let h(j) = -j - 1. Give u*p(i) + z*h(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 6*i + 162. Let b(p) = -p**3 - 97*p**2 - 87*p + 864. Let d be b(-96). What is v(d)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and 38.95.\nAnswer: 28.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6 - (-3 + 9)) + 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(7*2\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322102 (base 4) in base 12?\nAnswer: 4642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -68*x + 26. Let a(y) = -16*y + 6. Let c(d) = 9*a(d) - 2*b(d). Let n(h) = 13*h**2. Give c(n(z)).\nAnswer: -104*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -46, -39, -20, 17, 78, 169, 296?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + -3 + (15 - 11))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -470*h - 1368. Calculate p(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.0732?\nAnswer: -0.2196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - a - 26 = 0, -9*q + 5*a = -5*q + 80. Let k be 4 + (-383)\/(-5) - q\/(-25). What is the highest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607509808 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - v - 1 = -197, 146 = 3*i + v. Suppose -i = -4*x + 30. Let j be (76\/(-10))\/((-2)\/x). Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tggtggggggtggtgggtgg. What is prob of sequence tgg?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 30*o + 2074. Let i be h(-69). Let t(x) be the second derivative of 4*x - 11\/24*x**i - 1\/180*x**6 - 10\/9*x**3 + 0 - 4\/3*x**2 - 1\/12*x**5. Factor t(r).\nAnswer: -(r + 1)**2*(r + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0658 * 1105\nAnswer: -72.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1\/4, -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10.139*0.1\nAnswer: 1.0139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*q - 0*q - 5, 4*q = 4*z. Suppose -5*d - 1742 = -q*u + 1693, 4*u - 2760 = -2*d. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22200, -24757, -27322, -29901, -32500, -35125, -37782, -40477?\nAnswer: -43216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 = -5*f + 2*t, 5*t - 10 = f. Put f, -5, 3144 in decreasing order.\nAnswer: 3144, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 6. Let x = 17 - m. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = u + 3, 0 = -2*u + 5*k - 6 - 0. Let a(r) = -r**3 + 2*r**2 + 2*r. Let i be a(3). Is u at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 152\/(-36))*(-137025)\/(-1050)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*j + 5*i, j + 3*i + 21 = -2*j. Let h(p) = p**3 + 7*p**2 + 2*p - 4. Is h(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -10*w + 6*w + 52, 5*y + 13 = w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 16. Let v(n) = 6*n**2 + 3*n + 2. Calculate the remainder when 5 is divided by v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 - -166.3. Let w = 17 - n. Let t = w - 5.7. Which is the closest to -1? (a) -3 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 242690.5 centimeters?\nAnswer: 2426905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/12, 0.052, 2, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.055 + 0.215. Let x = k - -9.83. Round x to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3500 and 770.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {c: 4, i: 1, l: 7, m: 2, k: 5, v: 1}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1.5. Let q = p - 13.5. Let f = q + 15. Put f, 3\/5, -2\/21 in decreasing order.\nAnswer: f, 3\/5, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -206. What is the lowest common multiple of 7 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85983631?\nAnswer: 85983631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 4:20 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by 7\nAnswer: 136\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*n + 3*f + 58, -4*n - 54 = -3*f. List the prime factors of ((-10)\/n - 3)\/(2\/(-168)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ccgoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-92)\/(-6))\/(3*(-2)\/72). Let p = w - 16. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:12 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 8 - 7)*(7*h - 4*h - h).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/1*56\/308 + 140\/(-77)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -6*c + 257. Is c a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*-3*-3)\/sqrt(2).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54\/11 in -2\/5, -0.5, 5, -570, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432660313?\nAnswer: 1187, 364499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2538865 smaller than -2538865?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14270248?\nAnswer: 2, 1783781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00079326196 rounded to seven dps?\nAnswer: -0.0007933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/28 - 3*w**5\/20 + w**3\/4 - 10*w. Find d such that h(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 8:21 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6)\/(8\/32).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.6, 3, 0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 29. Let f(a) = -a + 10. Let j(y) = 11*f(y) + 4*o(y). Suppose 0 = -0*z - 3*z + 51. Let k(b) = 14*b - 17. Calculate z*j(s) - 6*k(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let c(s) = 22*s - 2. Let y be c(m). Let k(j) = -6*j + 204. Let n be k(33). Calculate the greatest common divisor of y and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2010274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2112 (base 3) to base 4\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 2*m = 0. Let q(b) = b**3 - b**2 - b + 3. What is q(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240 divided by -3\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {j: 2, g: 1, m: 4, s: 1, w: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293834 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 137884811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1695*t - 373040 = -1705*t. What are the prime factors of t?\nAnswer: 2, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7958 and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21683 (base 16) to base 10.\nAnswer: 136835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*z - 4*b, 4*b = -3*z - 0*b + 24. Suppose w + w = z. Suppose -w*r = r - 6. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, k: 5}. Give prob of sequence fff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(175) - (sqrt(175) - (sqrt(175)*-3 + sqrt(175)))) + -1 + (sqrt(70)\/sqrt(5))\/sqrt(2).\nAnswer: -1 + 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((48\/18)\/(-8)). Let g be (-370)\/130 + 6\/p. Let l(v) = -6*v - 13. Let u be l(g). Solve -6 = -u*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-56 - -40 - (1 - 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, -6 + 8 = -5*l - 4*w. Suppose 0*k = 5*m + k - 2606, 1565 = 3*m + l*k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 6*j - 28. Calculate a(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 558*z**2 - 19324100*z + 69262 = 0.\nAnswer: 1\/279, 34631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o - l, -4*o = 5*l - 0*l + 9. Suppose 0 = n - 5*n + 20. Calculate the smallest common multiple of o and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 12, -6\/5, 4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**2)\/v*v**(1\/2)*(v*v**0)**27*(v**1)**(4\/13)*(v**3\/v)\/(v\/(v*v**(-4\/7)\/v*v)) assuming v is positive.\nAnswer: v**(5139\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + (-183)\/(-9). Let j = 27 - t. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - f**2 + f + 3*f - f**2 - 5*f in the form l*f**2 + k*f + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -4187\nAnswer: -46\/4187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y - 35 = 89*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 5\/12*c**4 + 0*c**3 - 1\/60*c**6 + 6*c**2 + 0*c + 5 + 1\/60*c**5. Suppose k(s) = 0. What is s?\nAnswer: -2, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 6, -22, -60, -108, -166, -234?\n\"Answer: -5*m**2 - 3*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3061.9651 rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 19475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*n + 838*n - 24 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 953 - 892. What is the highest common factor of 61 and d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 - 97. Let i = -0.099 + -0.201. Let x = -0.023 - 49.977. What is the fourth biggest value in i, x, -0.2, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**3 - 8339 + 3989 + 4098 - 5*r as w*r**3 + o + h*r**2 + y*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = -92*n + 420 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/y**(-4))\/y**(1\/4))\/((y**(-5)*y)\/y*y**(-5))*(y\/(y*y**(-4))*y**(-3\/8))\/(y**(-1\/2)*y**(-1)\/y) assuming y is positive.\nAnswer: y**(183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 5. Let r be i(0). Suppose f + 33 = 2*p, r*p = -4*f - 62 - 18. Let m = f + 72. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21696 to three decimal places.\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-6) + 4\/(-6). Suppose 0 = b - 4*n + 1, 3*b + 0*b + w*n - 11 = 0. Factor o + o**3 - o**3 - o**b.\nAnswer: -o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*g*w**5 - 1583*g*w**3 + 2*g*w - 26*g + 128*w - 15 wrt w?\nAnswer: 1040*g*w**3 - 9498*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204411 (base 5) to base 7.\nAnswer: -25663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*d*i**3*p - 2*d*i - 2*d*p**3 + 10*d*p**2 - 367*i**3*p**4 + 4*p**5 + 4*p**2 wrt p?\nAnswer: -12*d - 8808*i**3*p + 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62923 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**4 + 10*v**3 - 24*v**2 - 10*v. Let s(t) = 53*t + 53*t**2 + 8*t**4 - 45*t - 12*t**3 - 29*t**2. Let r(z) = 4*n(z) + 5*s(z). Factor r(w).\nAnswer: 4*w**2*(w - 3)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703545243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9\/134, 2.8, 1?\nAnswer: -9\/134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rinnlrirnnnir. What is prob of picking 1 i and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46240 - -46238. Let j be (2*3)\/(1 + 1). Sort p, 0, 4, j in descending order.\nAnswer: 4, j, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 101.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04846374 take away 85.8?\nAnswer: -85.84846374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -592, -3, 0.3.\nAnswer: -592, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 92 - 88 = 0. Suppose -9*o = i - 1. Which is smaller: 2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kokwwwwnoww. What is prob of picking 1 o and 2 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**3 - 2*h**5 - 8*h**3 + 11*h**3 + (3 - 3 - 2)*(-4*h**2 + 4*h**2 - 2*h**5) + (-h - 2*h + 0*h)*(0*h**4 - h**4 + 3*h**4).\nAnswer: -4*h**5 - 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -1, 1\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 + 6.69. Let m = 0.6 - s. Let g = 5 + m. Put 4, 0.5, g in decreasing order.\nAnswer: 4, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**5 - s**4 - s**3 + s**2 + 2*s. Let f(p) = 2*p**5 - 3*p**4 - 2*p**3 + 3*p**2 + 5*p. Let r(l) = 2*f(l) - 5*y(l). Factor r(n).\nAnswer: -n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 28*o + 2. Is j(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 70*d**2 - d + 2. Let z be n(2). Suppose 4*f - 4*b = 564, 2*f = 2*b - b + z. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6208*b*i**2 + 1280*b*i + 3*b + 5011*i**2 + 549*i - 3 wrt i.\nAnswer: -12416*b + 10022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-20 + 19 - (-3 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Suppose -x*h = -58 - 23. Suppose -k + 3 = -h. 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 x = 0.0481 + -0.066. What is x rounded to 3 decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i - 17. Let t be j(8). Let q = -8 - t. Solve 20 = -q*b + 4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 200) + 8 - -7. Let l = q - -218. Solve -l*y - 10 = -24*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h. Let z be l(-1). Let p = -30 + 48. Suppose 4*c = -c - 2*m + 39, 5*c = 2*m + 31. Solve z*y + c = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-785)\/(-314)*(-24)\/(-195).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 4, d: 9, g: 1}. Give prob of sequence dd.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**5 + 4*g - 5. What is the first derivative of l(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 2 + 15)*(6\/(-117))\/(-2)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 283, 410, 537, 664, 791, 918?\n\"Answer: 127*s + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 5*v**2 + 9*v - 10. Let k be q(-8). Let g = k + -55. What is the tens digit of (g - (3 + -1))*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wckckcwkzzkdccizwk. What is prob of sequence dziw?\nAnswer: 1\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 360 = -0*o. Suppose 7*p = 2*p - o. What is the remainder when 33 is divided by (-27)\/(-4)*p\/(-27)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509 = -3*l - y, -5*l + y + 1023 = 188. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.69\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 8:30 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**2 - 62 - 121 - 9*o + 11*o + 5*o**2 to j*o**2 + b + w*o and give b.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -18 - (-2 + 6) - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11.9, 2, -1, 0.3, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfxgxnfwwggxfdfwwddx. Give prob of picking 1 f and 1 x.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(28) - (sqrt(28) + (sqrt(28) - -1*sqrt(28))))*1)\/(sqrt(4)*1*-2).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v - 4*j + 11 = -66*v, -4*j + 9 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 5, 4, -1, 1, -802 in ascending order.\nAnswer: -802, -11, -2, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 18 = 3. Suppose -8*c + 7 = -u. Calculate the remainder when 1 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7334 - -4804. Calculate the greatest common divisor of g and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*l - 20 = j, 5*j - 3*l = 9. Let x(n) = 3*n - 5*n + 2*n - j*n**2 - 1. What is x(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-322 + 322 - 79*c)*(-c + c - 2*c**2).\nAnswer: 158*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05277 times 0.76?\nAnswer: -0.0401052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l - 639 + 19064 = 0. Calculate the greatest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 25*u - 244. What is s(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 8 = 3*h. Let j be 3*(h + 12\/(-3)). Let v be (j\/(-6))\/((-6)\/40). What is the greatest common divisor of 25 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*z + 94, -5*g + 235 = 6*z - 5*z. Find the common denominator of g and (-14)\/2 - (-22 + (-2328)\/(-144)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-155)\/(1\/3226*-2). Suppose n + 200010 = 5*n - 2*y, 5*n - s = 3*y. What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/5)*k*(k**(-1\/14)\/k)\/k*k*(k**(-1\/4)*k*k)**(-5) assuming k is positive.\nAnswer: k**(-1263\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 14 = 26. Let l be (1 + 1)*y\/(-4). Find the first derivative of -2*n**2 - l*n**2 - 5 - 111*n + 111*n wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 219*n**3 + 4*n**2 - 19*n + 15. Give r(1).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65803 - 14311 = -1192*q + 3644*q for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by 20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79661674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(-1*sqrt(2)))\/(-1*sqrt(1331)).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 177*a**2 + 10*a**2 + 1 - 2. Let t be b(1). Suppose 0 = 4*d - 2*d - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c. Let g(m) = 13*m**2 + 9. Let p(v) = 3*v**2 + 2. Let a(h) = -4*g(h) + 18*p(h). Determine a(o(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5610 + -5602. Solve -3*v + j*v - 10 = 0, 5*b - 2*v = 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43428.41 weeks in seconds?\nAnswer: 26265502368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n + 44. Let t(r) = -7*r + 45. Give -4*j(x) + 3*t(x).\nAnswer: -x - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12934953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5745394*2\nAnswer: 11490788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -2438.\nAnswer: 731.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 43, -1, 0 in decreasing order.\nAnswer: 43, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004415 to 6 decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(-1\/2)))**(-3\/10)\/(n**2\/n**(-1)) assuming n is positive.\nAnswer: n**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/((-28)\/(-8))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/8 of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -52 + 28. Let n be 2*3\/(2 + 4). Let l(m) = 3*m + 4. Let t(c) = -1. Give b*t(j) + n*l(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57816.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1. Let b(w) = w**2 + 2*w + 4. Let t(v) = -b(v) + 3*h(v). Give t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.479 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -3*y**2 + 0*y - 2\/3*y**3 + 0 + 7\/24*y**4 + 1\/15*y**5 - 1\/120*y**6. Determine z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325522 is divided by 36?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4766 - -4779. Let k(v) = -v**2 + 10*v + 17. Calculate k(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 5*b**2 + 3*b - 1. Let l be j(-4). What is the second derivative of -d - 2*d + 4*d - l*d**2 + 0*d wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1693*v - 2590*v + 3027*v + 1936*v. Let s(a) = a. Calculate s(y(z)).\nAnswer: 4066*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 7*i - 4. Let p be o(-3). Let a(b) = -b - p*b - 7*b + 0*b. Let c(d) = -2*d. Give a(c(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*z**2 - 2*z**3 + 0*z**3 - 4*z**3 + 10*z + 4*z**3.\nAnswer: -2*z**3 + 186*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjv when three letters picked without replacement from avjvccjavvajjvaw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -113, -581, -1815, -4193, -8093, -13893, -21971, -32705?\n\"Answer: -63*u**3 - 5*u**2 - 12*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 * 944967\nAnswer: -47248350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -ac904c?\nAnswer: ac9053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 136*t + 2092 = 140*t, -t - 1 = 0. Calculate the remainder when 1068 is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/10 and -41\/577559687.\nAnswer: 5775596870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110110101110111 - -10000?\nAnswer: 10010110110110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven halves of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**3 + 0*z**2 + 0*z**2)*((-6 + 1 + 3)*(-1 - 2 + 4) + (-1 + 3 + 4)*(-7 - 16 + 2)) to the form s*z + d*z**3 + y*z**2 + v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4207841*x**3 - 55*x**2 + 888336*x - 2 wrt x?\nAnswer: 25247046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.609 + -19.69181. What is i rounded to 3 dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1352 - 1342) + (-1 + -6 - (1 - 2)) - 68.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*a - 4, -5*a - 26 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.144 - -165.856. Let s = y + -133.4. What is s rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.059751, 4, 3\/7, 557 in decreasing order.\nAnswer: 557, 4, 3\/7, -0.059751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let m(f) = -34*f + 26. Let s(d) = -m(d) + 6*z(d). Let c be s(5). Let n = c + -85. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407*n**3 - 18 - 418*n**3 + 35 + 50*n - 2*n**2 - 17 to q + v*n + y*n**3 + p*n**2 and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836218?\nAnswer: 2, 418109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -12 + 0 + (-13 - 4) + 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -4, 1\/29.\nAnswer: -4, 1\/29, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 0 + -4)*3\/1. Is x - (-742 + -3 + (-15)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 5*t**2\/2 - 6*t - 257. Let c(u) = -4*u + 5. Let z = -7 - -1. What is z*c(y) - 5*f(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -51840.985?\nAnswer: -51840.985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p + 5*c + 15, 5*p - 3*c = 9. Suppose 5*o = 4*u + 131 - 572, p = 4*u + 2*o - 406. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 3*q**2 + 2. Let r be u(-3). What is the units digit of (-18)\/(-4) + r\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 - 168. Let d(q) be the first derivative of -4 + 4\/3*q**3 + k*q - q**2. Find the second derivative of d(w) wrt w.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**5 - 60*b**4 - 318*b**3 + 144*b**2 + 3321*b + 2916 = 0.\nAnswer: -9, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*y + 13, 3*b - 4*y = 19 - 2. Solve 9 = -b*n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -72. Solve c*b + 3 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - z + 4*z**2 - 6*z**2 + (0 + 1 - 2)*(15076 + 240*z - 15076)*(-2*z - 1 + 1) to o*z**2 + q*z + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*7\/49 + (-172)\/(-2). Let d = m - 84. Suppose 0 = -4*g + d*c - c + 555, -429 = -3*g + 5*c. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29441, 58882, 88323, 117764, 147205, 176646?\nAnswer: 206087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - 91 + 267 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (102 + -41) - 30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59.8 + -60. Let c = -75 - -29. Let u = c + 45.96. Put 4, o, u in descending order.\nAnswer: 4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 881 is divided by 218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 18*b**2 - 11*b - 12. Determine r(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 412 and 93827129?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-6.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-7)*(-95)\/195*1. Let z = 2\/91 - j. Is z < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 + 4*y**4 - y**5 + (-y - y**3 + y**2 + y)*(2*y**2 - 2*y**2 - 4*y**2) - 36 + 36 - 10*y**5.\nAnswer: -7*y**5 - 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7335534 years to centuries.\nAnswer: 0.007335534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/24 - (8 + -9). Let o = t - -41\/60. Which is the closest to 2\/9? (a) 5 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82 - 58. What is the third smallest value in y, -1, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/2)\/((64\/128)\/((-3)\/12))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4966384575.\nAnswer: 3, 5, 66218461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*m + 6*z - 12, -3*m + 4*z + 1 = 0. Let u(s) = -m*s**2 + 13 - 51 + 17 + 19 - 4*s - s**3. Calculate u(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 14266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -86*f**6 - 105*f**3 + 2*f + 609. What is the third derivative of i(g) wrt g?\nAnswer: -30960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 - 2 + s**2 - 201*s**4 + 6*s - s**2 + 203*s**4 in the form f*s**4 + m*s + b*s**2 + c + l*s**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (6 - 11) + 3 - -308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l - 3. Suppose 2*p + 48 = 2*q, -l*p + 2 = -10. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4162533\/356 or -11694?\nAnswer: -4162533\/356","meta":{"dup_signals":{},"source":"comparison__pair_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: How many minutes are there between 10:56 PM and 12:47 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3298*z**4 + 534*z**2 wrt z?\nAnswer: -79152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 2. Let v(q) = 4*q**2 - 5*q**2 + 2*q**2. Let t = -47 - -49. Give t*v(m) - x(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**19\/u**(-5\/4))\/((u*u**(-1\/25)*u)\/((u*u*u*u**(1\/12))\/u*u)))**(-5) assuming u is positive.\nAnswer: u**(-1603\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -10 + 1. Let v be (-6)\/3 - -3 - -2. Suppose 48 = v*w + n. Calculate the greatest common factor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -110010001001101?\nAnswer: 110010001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 + -360. What is the third smallest value in -2\/11, r, -1\/2, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 175 + 62 = 2*p, 2*p - 2*f - 222 = 0. Suppose -2*z - 5 = -3*z. Suppose 2*u = 2*t - p, -5*u = z*t - 71 - 229. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 8, 4 = -j + 2*h - 0*h. Solve -2*l = -2*d + 2, -d + j + 11 = -3*l for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-2 - 1) - (63 - (243 + -108)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206533 (base 7) in base 10?\nAnswer: 35941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35280)\/3360*(-3)\/(36\/40).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 9*d**2 + 5*d + 1. Let s be u(10). Suppose 0 = 5*c + 4*w + w - 150, -5*c - 4*w + s = 0. Is 32 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*d - 65 + 4012*d**3 - 3*d**2 - 4011*d**3 + 65 + 3*d**2.\nAnswer: d**3 + 103*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q. Let m(x) be the first derivative of -1\/3*x**3 + 0*x**2 - 1 + 0*x. Give m(p(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 11:23 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**4\/4 + 28*x**3\/3 + 37*x**2\/2 + 60*x - 48. Let w be p(-25). What is w rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + a**3 - 68*a + 13*a**3 - 6*a**3 - 6*a**3 to the form j*a**3 + d + u*a + h*a**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/24 + g**5\/60 + g**4\/24 - g**3\/6 + 3*g**2. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265578 and 156.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7196 - -12178. List the prime factors of d.\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3921 - 2012. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1620, 4030, 8046, 13668, 20896?\nAnswer: 29730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p. Let v(g) = 30*g**2. Give r(v(l)).\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(((i*i**(-3\/8))\/i)\/i))\/((i\/(i*i**9*i)*i)\/i))\/(i\/i**(-9\/2)*i*i*i**10*i) assuming i is positive.\nAnswer: i**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2739435*o**5 - 492*o + 11619 wrt o?\nAnswer: -54788700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 11 = -14*h + 17*h, -m - 4 = 2*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.1. Which is the third biggest value? (a) 0.2 (b) d (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 49 = -4*n - 5*h, -2*n = 7*h - 46 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {d: 3, p: 2, e: 2, r: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395878 (base 11) in base 4?\nAnswer: 21020201033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135279529181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73239, 73676, 74103, 74514, 74903, 75264, 75591?\n\"Answer: -b**3 + b**2 + 441*b + 72798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32396, 32398, 32374, 32312, 32200, 32026, 31778?\n\"Answer: -2*n**3 - n**2 + 19*n + 32380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/45)\/(-3*4\/(-324)). What is the highest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -6 - 5*g - 12 + 19*g**3 - 11 - 19 + 43 + 3*g**2. Let q(o) = 10*o**3 + o**2 - 2*o - 2. Calculate 5*q(r) - 2*z(r).\nAnswer: 12*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -191, 1\/3, 1\/5, 0.9, -2\/15, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12901 + 30642. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*g + 2*g**2 + 2*g + 1142*g**3 - g**2 + 380*g**3.\nAnswer: 1522*g**3 + g**2 + 23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*r - 104 = u, 0 = -u + 4*r - 11. Let i = -21 - u. Solve 4*v + i = 2*h, 3*v + 4*h + 45 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.3 * -0.6.\nAnswer: -13.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 - (-959)\/(-265188)*213. Let a = i + -1\/3444. What is the common denominator of -107\/6 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-67443)\/(-33) + 153\/561. What is the highest common divisor of 196 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*d = 4170*d - 268*d - 215830 + 17432 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 12, h: 2}. Give prob of picking 2 c.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*n - 408*n + 5 = -4*k, 10 = -2*n - 2*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 + 33 + 60)*(-17 - 5*y**3 + 17).\nAnswer: 315*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/88461 and 58\/225?\nAnswer: 2211525","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 149859067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*y + 5 = -11, -1144*y + 1140*y + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/7)*(y**5\/y)\/y*y*y*y**(1\/3)*y**(-2)*(y**(-1))**(24\/5)\/((y\/((y*y**4)\/y))\/((y\/y**(1\/4))\/y)) assuming y is positive.\nAnswer: y**(659\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 2*c = 32*k, 3*k + 3*c + 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5687 - -9538. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164\/(-357110)*-67*(0 - 1 - 0)?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-15) - (0 - 2). Let c = -141 + 156. Which is smaller: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1991780*j**2*r**3 + 4*j**2*r**2 + 3199411*j**2*r wrt r.\nAnswer: 11950680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -11388930 to the nearest 100000.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3472 and 1168948?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35237889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 18*s - 16*s - 16*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974458621.\nAnswer: 7, 567779803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.04 - -3. Let t = 5623 - 5626. Put t, p, 3 in increasing order.\nAnswer: t, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -29*p + 28. Let a(z) = 10*z - 9. Let q(d) = -11*a(d) - 4*m(d). Let c(g) = 1. Let r(n) = -5*c(n) - q(n). What is the tens digit of r(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v)\/((v*(v**(1\/32)*v)\/v)\/v) assuming v is positive.\nAnswer: v**(-1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let t(c) = 3*c**2 - 4. Let z be 0 - ((-2)\/3)\/((-1)\/(-3)). Suppose -9*p + 22 = z*p. What is p*b(f) - t(f)?\nAnswer: -f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from gkrcuccckrykrcrguc.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/3*(-24)\/20. Let d be (2\/v)\/((42\/(-12))\/(-7)). Which is bigger: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-16)*(-34)\/85. Which is the nearest to 0.5? (a) 3 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-16)*-1*(-24)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7306326 + -7756659. Let c = 15063432.00347 + q. Let d = 447 - c. Round d to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1032040 (base 5) to base 12.\nAnswer: a34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (19\/551)\/((-96)\/306) and -43\/6?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -802 at least as big as -803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387 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: What is the greatest common divisor of 20720 and 32480?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002743019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 3 - -3 - (3 + -5). Suppose -5*j + 9 = -6. Let f = j + d. What is the remainder when 31 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 6. Let v be (-3 - (-6 - 4\/1)) + 1. Is v != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 18 = 103. Suppose 0 = -3*n - 14 + v. Let i(q) = q**2 - 5*q + 9. Let b be i(4). Solve 4*u + b*g - n - 7 = 0, 5*g + 4 = 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -46341*i + 31222. Let g(x) = 18539*x - 12489. Let p(b) = -12*g(b) - 5*n(b). What is the first derivative of p(o) wrt o?\nAnswer: 9237","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5729 + 6017. Calculate the highest common divisor of 963 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*t + 29 + 447. Sort t, -3, -22 in descending order.\nAnswer: t, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 i when three letters picked without replacement from {k: 3, i: 1, q: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1156 - 0.1154666. Round w to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 4. Let o be u(-4). Suppose -m + 2 = 0, o*m + m + 58 = 3*x. What is the least common multiple of 22 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 18 = -4*n, 3*h = -5*n - 3 - 11. Let p = -76 - -90. Suppose -4*i + 5*r = 13, 4*i - 18*r = -p*r - 8. Sort h, 0, i.\nAnswer: 0, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/15, -11\/5, -4\/3 in descending order.\nAnswer: 5, -2\/15, -4\/3, -11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + -12. Suppose 66 = 4*o - 3*h, 5*o + 51 = -2*h + 122. Let y be (-2 - 22\/(-10))*o\/(-9). Put w, 4, y in increasing order.\nAnswer: w, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/9*3510\/(-312)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370*k + 16 + 329*k + 10 - 44 + 18.\nAnswer: -41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**2 + 9416*f + 9412 = 0.\nAnswer: -2353, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2224, 11, 5, 2, -5, -8.\nAnswer: -8, -5, -4, 2, 5, 11, 2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - 3*y)*(0*y**2 - y**2 + 2*y**2) - 5*y**3 + y**3 + 2*y**3 - 6*y**3 + y**3 + 3*y**3 + (-5*y**3 + 3*y**3 + y**3)*(-7 - 4 + 0).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -6 + (0 - -4). Let b be (2 + -2)\/(0 + 2). Suppose 4*p - 3*y - 17 = b, -2*p + 4*y = -0*p - 16. Solve p + k = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -1 - 5\/6*p**3 + 45*p + 0*p**2. What is a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, -4, 27586?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -0.67 (c) -26 (d) -1\/6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 538 = -2682. Calculate the remainder when f is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7240.9939 + 7245.1. Let d = j - 4.11. What is d rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-38) + 7227\/(-836) + 9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/88)\/((-99)\/528)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 24\/17 (b) -2\/3 (c) -3 (d) 15 (e) -0.11 (f) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165293 is divided by 1360.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 62. Is 12 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 3*d + 3*d**4 + (-d + 4*d - 4*d)*(4*d**3 + d**3 - 3*d**3) - 4*d**4 + 0*d**4 + 2*d**4 + (1 + d - 1)*(7*d**3 - 4*d**3 - 4*d**3).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3573.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 219*g**4 - 106.\nAnswer: 876*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:52 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.289436 less than -2149.859?\nAnswer: -2149.569564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 1:29 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 = 5*x - 429 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.5. Let z be (-68)\/(-56) - ((-3)\/6 - -2). Let m be 1\/2 - (-9)\/(-10). What is the nearest to z in 0.4, k, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 4*o, l - 6*o + 14 = -4*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 273 * 12.\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j + 49050 = 0. Let g be (-1)\/(65405\/j + -4). Calculate the remainder when ((-1)\/3)\/(10\/g) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -7*a + 56. Solve 5*c - 45 = 4*z - 13, 4*c - a = -3*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4 + 0*b**4 - 11*b**4 + 2*b**2 - 3*b**2 wrt b.\nAnswer: -192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*t + 5*o, t = 2*t + 4*o + 23. Let h = 193\/10 + t. Suppose 0 = -3*c + d - 1, -31*c = -36*c - 2*d + 13. Is c bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 5*p**2 + 0*p**2 + 6*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, 2\/5, 0, 6.2.\nAnswer: 0, 2\/5, 9\/5, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4306331522?\nAnswer: 4306331520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -804260.3866 rounded to the nearest 1000?\nAnswer: -804000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -4 - 5 - (-1 + -1 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -920 by -56.\nAnswer: 115\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2064722 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 306. List the prime factors of z.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than 12259\/1979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 + 0. What is the nearest to 0.1 in f, 1\/2, 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 68*l**2 + 0*l + 0*l.\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000153 rounded to six dps?\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 57, 68, 95, 144, 221, 332?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-40)\/36)\/5 + 457\/(-9). Does 2 divide (1\/4 - o\/4) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270352 and 5368.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -318 + 314. Which is the closest to -3? (a) 0 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50125 (base 7) to base 8\nAnswer: 27451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 155 + 58 = 0. Let u = 101 - h. What is the highest common divisor of u and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 269*q + 14118. Calculate k(196).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Suppose -3*h - 6 = s*d, -7 = -3*d - 22. Let x(l) = -l + 3 + h - 4. Calculate x(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4900858 divided by 22?\nAnswer: 2450429\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from {s: 2, g: 2, a: 1, l: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 4*t**2 + 3*t + 2. Let o be r(-2). Let d be ((-10)\/3 - -3)*67. Let u = 22 + d. What is the smallest value in u, o, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19248118 to the power of 1\/2, to the nearest integer?\nAnswer: 4387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h - 5*p = -2818, -h - 3*p + 708 = 0. Find the common denominator of 22\/(-3) - (-3)\/3 and h\/(-20) - 6\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18402 divided by -14?\nAnswer: -9201\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(64 + -50))\/(-10 - -9).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 4*x**2 + 9*x - 6. Let z(b) = 5*b**3 + 3*b**2 + 10*b - 6. Let j(n) = 4*y(n) - 3*z(n). Calculate the remainder when j(-5) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28271683?\nAnswer: 11, 43, 59771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 27\/4, 43.04?\nAnswer: 43.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73723 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4287 + -2207. Is n a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 - 4)*(j - 3*j + 4*j) - 101*j + 263*j + 111*j)*((3 + 0 - 1)*(-3*j + 0*j + 2*j) + j - 20*j - 6*j) as q*j**2 + b + n*j and give q.\nAnswer: -7263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 7*k - 2*k)*(4 + 7*k - 4)*(-2*k**2 - k**2 + 2*k**2)*((3*k + 3*k - 3*k)*(-3 + 5 - 3) + 2*k + 3*k - 4*k).\nAnswer: 28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 9. Calculate the greatest common factor of 75 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 3968?\nAnswer: -1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*a - 11, 2*l + 116*a - 122*a + 6 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/19*g**2 - 16119842\/19 - 11356\/19*g.\nAnswer: -2*(g + 2839)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2546*g - 96751. Calculate s(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:34 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) 0 (c) -11 (d) -70 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -0.374 (c) -6 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55.58027us?\nAnswer: 55580.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + 14. Suppose -x + 3*c + 45 = c, 5*x - 225 = -c. Suppose -3*n + x = 3*d, -z = n - 2*n + 4*d. Solve 5*k = -h - 18, -4*h - 4 = 4*k + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567401 is divided by 340.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9907290 divided by 1651215?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 3, v: 3, f: 7, e: 3, j: 2}. Give prob of sequence vj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 7*f**2 + 3*f - 3. Let q(m) = 6*m**2 + 3*m - 4. Let g(i) = 3*q(i) - 4*r(i). Find the second derivative of g(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 22 = -2*b, 0*j + 16 = 3*j + 4*b. List the prime factors of ((-2 - -28) + j)*41.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -633901264*j**4*m**3 + 17018*j*m**3 - 6*j - m**3 + m**2 - m + 146 wrt j.\nAnswer: -7606815168*j**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from zsqdf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2905563 and -0.1.\nAnswer: 290556.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-3 - 6) + 3. Is (q\/(-9))\/((-1)\/(-9)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2557\/5 + -511. Let m = -1 + 1. What is the nearest to 1\/4 in u, m, 3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 41*b - 44*b + 18, -4*b = -4*a - 20. Solve -6*y + 7*y + 3 = b*g, -35 = -3*y - 5*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*w - 2, -3*w - 16 = -5*f - 15. Suppose 0 = -w*b + z + 842, -3*z - z - 1408 = -5*b. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {l: 1, e: 2, p: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7303567694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 5) to base 16.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 0*s**2 + 26025 - 2*s**2 - 25991 - 24*s - 7*s**2. Give n(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*q + 5, 4 = -3*q + 1. Suppose 3*l - 54 = -2*i - 0*l, -5*i = o*l - 121. Calculate the greatest common factor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53771?\nAnswer: 17, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + -363?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 1135230?\nAnswer: -1135222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/3 + 36*g + 104\/3.\nAnswer: 4*(g + 1)*(g + 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7838.0589 to the nearest 10.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y)*(-3963*y - 280*y - 7879*y).\nAnswer: 12122*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433869 + 9*x - 9*x + 433869 + 3*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/11 (b) -33 (c) 4 (d) 0.503 (e) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-10)*((-11)\/(66\/(-24)) + (-180)\/96)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232827 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2\/9*n**3 - 1600\/9 + 394\/9*n**2 - 1208\/9*n = 0.\nAnswer: -200, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 624049508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118281\/323 at most 365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -19\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, e: 4, f: 2}. What is prob of sequence feee?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 6. Let z be x(-14). What is the remainder when -96*(1 - 12\/z) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1500.573 meters?\nAnswer: 150057.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2172109?\nAnswer: 2172109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 30*c**2 - 11*c - 85. List the prime factors of d(29).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/10)\/((1*(-126)\/(-56))\/((-21)\/14))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -24. Suppose -4*n + u*n - 3 = s, 5*n - 3*s + 8 = 0. Let r be 18600\/n*(-53 - -3). Round r to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 40 = -3*l - 3*l. Calculate the smallest common multiple of 800 and l.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.1 + 70. Let z = -512 + 510. Put z, 11, 9, f in increasing order.\nAnswer: z, f, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -63.4. Which is the closest to -0.1? (a) h (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Suppose 5*i + 4*t + 133 = 5*t, -2*t = 3*i + 72. Let k(y) = 17*y**2. Let o(d) = -4*d**2. Let l(h) = i*o(h) - 6*k(h). Calculate l(a(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54248 - 30296. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -95109*y + 171. Is s(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + 30?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.77? (a) -2\/5 (b) 5 (c) -2\/9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 4*t**2 - t + 13. Let p be n(4). Let r be (4\/(-6))\/(134\/p). Which is smaller: r or 3\/200?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let s be u(-2). Put -3, 3, s in descending order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/27 (b) 3\/2 (c) 0.3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 529.7 and -0.46?\nAnswer: 530.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 38 + -39 + (-4 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l + 1. Let s(g) = -339*g + 27. Let h(o) = -2*k(o) - s(o). Find the first derivative of h(c) wrt c.\nAnswer: 311","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6332155*m**2 + 6238504?\nAnswer: 12664310*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0 + 16, -5*m = 5*h + 355. Let u = 147 + m. Let z = -78 + u. Let a(x) = 2*x + 3. Give a(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f + 3*k = 82, -3*f + 4*k = -74. Let m be (2\/6)\/(f\/396). Let p(l) = l + 6. Calculate p(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 9, t + t = 5*d - 9. Suppose d*q + 8 = -q. Is 20 a factor of (17 + q)*4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158\/5 - 1748\/55. What is the biggest value in 0.5, i, -2, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.714350959 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*w - 15*w + 7350 = 0, 3*w + 18375 = 5*b. What is the greatest common divisor of 98 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 + 117 + -119 + 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2090183, 2090153, 2090125, 2090099, 2090075?\n\"Answer: x**2 - 33*x + 2090215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1670 + 1665. Which is the second biggest value? (a) t (b) -0.3 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 e when four letters picked without replacement from eeyeyeeyeyyyeeeyyy?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*p**5 + 2*p + 9*p**5 - 4*p**5 + (p - p + 2*p**5)*(-1 + 0 - 1).\nAnswer: -6*p**5 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3 - 12) + -1 + (3 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.05993*0.017.\nAnswer: -0.01801881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 20 + 26 - 2275*s + 21.\nAnswer: -2275*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11274734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*y - 30976 + 6091 = 0. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 3, 5 in increasing order.\nAnswer: 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.72 - -3.72. Which is the nearest to 1? (a) -4 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 14 = 0, 2465*v = -h + 2464*v + 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**2 - x**2 + 5*x**2 + x**2 - x**2 - x**2 + (-101*x + 99*x - 181*x)*(0 + 0 - x) in the form v*x**2 + q + j*x and give v.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 64*y**2 - 296*y + 54. Give u(59).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 880\/90 + 2\/9. Let n be h\/(-25) + 17\/5. Suppose -n*t + 6 = 3*z - 6, 3*z - t = -4. Solve z*c + 3*c = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(a - 4*a + 5*a) + 2*a + 6*a - 2*a + (-3 - 15 + 1)*(0*a + 2*a - 3*a) + 1 - 1 - 3*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*d + 96 = -d, 2*w = 4*d - 60. Let l = 13 + w. Let g(r) = -4*r + 6. Does 14 divide g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**8\/5040 + w**5\/20 + 2*w**2. Let g(y) be the third derivative of c(y). Let r(i) = 2*i**2. Determine r(g(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 + 7*n + 3. Let z be b(-10). Let l = -37 + z. List the prime factors of (-2)\/(l\/11)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21209*b**2 + 299563*b?\nAnswer: -42418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/28*28\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.15 + 1.45. Let j = 1.5 - f. Suppose 5*h - l - 2*l = -15, l - 15 = 5*h. Which is the second smallest value? (a) j (b) h (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 11 - 9 + r)*(0 - 3 + 0) + 34 + 39 - 85 - 12*r.\nAnswer: -18*r - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w + 6. Let i(m) = 11*m - 13. Let n(k) = k**3 - 5*k**2 + k - 1. Let g be n(4). Let d(t) = g*f(t) - 6*i(t). Give d(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(50) - (sqrt(800) - (sqrt(800) + sqrt(800)*1))))\/(sqrt(90)\/(sqrt(18)\/sqrt(2))*6).\nAnswer: -25*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (101 - 101) + -11 + 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 7*i**2 - 12*i**2 + 3 - 2*i**3 + 16*i**2 to the form y*i + s*i**2 + b + a*i**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 111*y + 5. Is t(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1233799 plus -0.39?\nAnswer: 1233798.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:36 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 9*r**2 + 7*r + 4. Let m be o(-7). Let k = -132 - m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010110011011 (base 2) in base 11?\nAnswer: 1242a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -372312 + 372300.00069. Let l = -2.3 - 9.7. Let f = l - w. What is f rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60805673 divided by -2543.\nAnswer: -23911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 23*b**2 + 17*b - 6. Let z be s(23). What is the highest common factor of 35 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/5 - 1) + 1. Find the third derivative of 689*c**4 - 16*c**m + 29*c**5 - 8*c**5 - 689*c**4 wrt c.\nAnswer: 1260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/20 and -71\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -342147 divided by -114049\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 - -549 - (-1 + -8) - (-19 - -6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6989663 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 267*l**3 + 0 + 1 + 276*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6 + 106. Suppose -5*h + 3*h - s = -4, -n = -4*h + 3*s. What is the tens digit of -1 - (-2 + h) - -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659040 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.3, -1, 13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -114227880*u**2 + 69265*u - 1108240. Let g(q) = 9895*q**2 - 6*q + 96. Determine 69265*g(k) + 6*t(k).\nAnswer: 9895*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 14*k + 65835 = 0. Suppose -4*a = a - k. Calculate the greatest common factor of 57 and a.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -626.7 - -556. What is g rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 52*u - 772. Calculate m(-30).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121600 divided by 200?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*p + 606 = -2*p, 0 = 4*n - 3*p - 591. Suppose 2*u = -3*f - 35 + n, 5*f - 180 = -u. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30.23 and -615.\nAnswer: -18591.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64010.046939 + 64010. What is t rounded to 4 dps?\nAnswer: -0.0469","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345575573 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (214 + -227)*(1 + 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 + -56240.\nAnswer: -56239.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 43\/7 + 16\/(-112). What is the highest common factor of l and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*o + 10 = 0, 13 = 3*z + 2*o - 0*o. Suppose 0 = -2*q + 2*w, -z*q + 0*q + 8 = -w. Solve -5 = q*k + 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 32*c + 44 + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 183*v + 7705. What is b(-42)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*z**3 - 2303*z**2 + 105730*z.\nAnswer: -198*z - 4606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 3*h**3 + 7*h**3 - 2*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12682 + 12736. Is j equal to 539\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t*t**(1\/6))\/(t*t\/(t*t**(-12))*t**(-24)) assuming t is positive.\nAnswer: t**(353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*n**2 + 18*n - n - 85*n - 74*n**2 + 37*n**2 in the form m*n + u + l*n**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 - ((-13 - -5) + (-14)\/(-63)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 2*w**4 + 19 - 32 + 26 - 2*w - w**2 to g*w**3 + l*w**4 + b*w**2 + j*w + m and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9393\/6 - 0 - 3\/(-2). Let u(l) = -2*l + 1567 - i. Let r(z) = 18*z. What is r(u(a))?\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288121 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129 - -59. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -11. Let k = -87\/4 + z. Let w = -5 + 6. Which is the closest to k? (a) w (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -27. Let z = x + -9. Let f = -0.9 - -0.6. What is the closest to 0 in z, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 23\/(-7) - (-4)\/14. Let o be a\/18 + (-38)\/(-12). Solve -o*b + 8*b = 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*-4*sqrt(187)*-2)\/((sqrt(77) - ((sqrt(77) + sqrt(77)*-2)*-4 + sqrt(77)))\/(-4*sqrt(112))).\nAnswer: -384*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 335333177659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 14*k**2 - 93*k - 686. Does 4 divide u(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 387 - 399 = 0. Let b(o) be the first derivative of -o**4\/4 - o**3\/3 + o**2 - o + 3. Let t(q) = q**2 + 1. Calculate h*b(r) + t(r).\nAnswer: -r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.7 - -18.1. Let u = 22180 - 22180.59733. Let n = p - u. Round n to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 880*d + 727. Is a(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 20*-1 + (-22)\/(-198) + 390\/135\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.2 (b) -0.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**4\/24 + 2*m**3\/3 - 2*m**2. Let p be q(4). Suppose p*j - j + 18 = 0. What is the least common multiple of j and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -27\/7. Let k = 14.7 + -15. Let f = 48 + -49. Sort k, f, y in decreasing order.\nAnswer: y, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntgaentjtnann. Give prob of sequence egn.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3*h**2 + 8*h**2. Let q(p) = -16509 - p + 16509. Give z(q(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/30)\/((-2)\/(-3)). Solve r*o = 13 - 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 105. Calculate the greatest common divisor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404824 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -1923\nAnswer: -1923.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 25 = 5*a, -18*a + 3 = 5*z - 17*a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424 divided by 15104.\nAnswer: 53\/1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005086026536 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4\/11 + 202264*g**3\/11 - 5055298*g**2\/11 - 5257564*g\/11 = 0. What is g?\nAnswer: -1, 0, 26, 101107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/8 + c**3\/18 + c**2\/6 - 25. Factor l(g).\nAnswer: -g*(g - 1)*(3*g + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 2*p - p)*(3 - 2*p - 3) + (7*p**2 - 19*p**2 - 12*p**2)*(-3 + 4 - 2) in the form b*p**2 + q + l*p and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13\/19, 285, -15\/14?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -80787?\nAnswer: -37\/80787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2181667 and 115.\nAnswer: 250891705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1647 and 756?\nAnswer: 46116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 71\/6 (c) -5.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -424 - -423.94. What is the second smallest value in -8, -5, -1, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*u + 7 + 3, -3*u = 6. Suppose -6 = 3*k + 4*q, -5*k - 5*q = -3*k + 11. Suppose k*r - 9 = -r. Solve 0*l - 5*l = -r*m + 6, -2*m - 6 = d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8066, -16134, -24202, -32270, -40338, -48406?\n\"Answer: -8068*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umw. What is prob of picking 1 m and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(153) - (sqrt(153) + (1*sqrt(153))**2 + -4)).\nAnswer: -447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 38. Let y(s) be the second derivative of 0 - s + r*s**2 + 1\/6*s**3. What is y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 3. Let g be n(2). Suppose 385 = -0*k + g*k. Suppose 16*y = 15*y + k. Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -r - r. Let j(p) = p**2 + 3*p + 6. Does 19 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x**2 - x + 1. Let q be c(1). Let u be (-1 - 0)\/(27\/q - -2). Differentiate 2*j + 2*j + 6*j - u + 3*j with respect to j.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*h + 11. Put -2, -5, h in descending order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqx when three letters picked without replacement from ooxoqqqxqoqq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 - 53*z + 446. Determine i(8).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2\/(-12)*8\/(-20)*20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/6 - i**3\/3 + 28*i**2 + 35*i. List the prime factors of d(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -25, 40, 169, 386?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2065 - 1856. What is the smallest common multiple of 342 and i?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1376 (c) -0.3 (d) 53 (e) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4500 divided by -900?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 1:16 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -2 + 33 - 0. Let a = j - 22. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -79, -4, 4, -1, 185, 0 in decreasing order.\nAnswer: 185, 5, 4, 0, -1, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = 13770. Suppose -3*l = 3*l - c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57896228 by -113.\nAnswer: -512356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -93815\/46728 - -14\/649. Find the common denominator of 47\/88 and n.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*(0 - 32\/(-40)) + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzlnnttnndnh. What is prob of sequence dt?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 2. Let j = -1040 - -1039. Let n(p) = -p. Give j*n(k) - u(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/19? (a) 11\/5 (b) 3 (c) -4\/45 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*z + 6106 = 0, -23*q - 4*z + 6100 = -21*q. What are the prime factors of q?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -y, 2*y + z = -2 - 5. Suppose -o - 1 = -9. Let v(q) = q**3 - 8*q**2 + 4. Let b be v(o). Put 3, y, b in descending order.\nAnswer: b, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309994?\nAnswer: 2, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 21. Suppose o*b - 28*b = -17. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7 - 4 + 2 + m. Let b be p(-4). What are the prime factors of (-22)\/(2*(-2 + b))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 46. Suppose 3*l + 3*k = y, 4*l + 3*k = 5*l - 23. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t**3 - 4*t**2 + 4*t + 1. Let r = 101 + -98. Let g be m(r). What is g rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12951756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1359 by -8.\nAnswer: 1359\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13249530 divided by -14.\nAnswer: 946395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/5 - 133102*n**3\/5 + 1475901459*n**2\/5 + 9843839412*n\/5 + 15752415008\/5 = 0 for n.\nAnswer: -4, -8\/3, 22187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 0 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {r: 2, p: 4, z: 1, o: 2, l: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002210122020 (base 3) in base 10?\nAnswer: 1118022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*i + 87*i - 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(2 + 1)*(3 + -2). Suppose -m*w + 9615 = -5*r, -8*r + 3*r - 10 = 0. Suppose -3*y + w - 406 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -35) + (5 - 41).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + 1.2. Let z = -8.07 + 0.07. Let v = 3 + z. Sort i, -0.3, v in ascending order.\nAnswer: v, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10569*r - 4*d + 20 = -10563*r, 2*r - 15 = -3*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 11*i**2 - 9*i + 4. Let w be f(-12). Suppose 0 = 5*p - 25, 2*z = 5*z + 2*p + 53. Let a = z - w. What is the highest common factor of 121 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/111*(0 + 9). Put 0, 2, p in increasing order.\nAnswer: 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/35? (a) 1\/5 (b) -3\/50 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11333?\nAnswer: 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010000 - -1?\nAnswer: 101010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v - 2. Let i(k) be the first derivative of -4*k + 7 - 17\/2*k**2. Let s(b) = 7*b**3 - 2*b + 1. Let q be s(1). What is q*i(j) - 13*c(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.029 + -13.029. Which is the nearest to 2? (a) 4 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*m - 23*m - 3*s, m + 5*s = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/18)\/((-2)\/(-8)). Suppose g*j - 4 - 10 = 0. Solve 5*o - 5*h + h = -j, -5*h = -3*o - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 88560*a**3 + 165*a**2 - 43050. Let x(n) = 1080*n**3 + 2*n**2 - 525. Let r(y) = 2*d(y) - 165*x(y). What is the derivative of r(c) wrt c?\nAnswer: -3240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 194837\nAnswer: 584511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2 + 36*c - 104. Determine i(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17\/20560 + 3\/257. Which is the closest to h? (a) 2 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 72*d**2 + 41*d**2 + 50*d**2 to the form u*d**2 + w + h*d and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2290337*w**2*x**4 - 3*w**2*x**3 + 14*w**2*x**2 - 7151*w**2*x - 6*w**2 - 6*x**2 wrt x.\nAnswer: 54968088*w**2*x - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7405002 and 3514.\nAnswer: 51835014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 15*y - 19. Let k be j(-16). Let d be -10*8\/16 - k\/(-1). Let s(i) = i + 41. Is s(d) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h. What is r(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(24)\/sqrt(32) + sqrt(12))\/sqrt(6)*-3)**2 - (sqrt(1694)*3)\/(-3*sqrt(112)).\nAnswer: 11*sqrt(2)\/4 + 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 7 - 9)*(5*a - 5*a + 6*a) to q + f*a and give f.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*m - 35*m - 4*m**3 + 98*m + 97*m + 103*m.\nAnswer: -4*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5))**(-2\/21)*(t\/(t\/t**(-2)))**(-2\/65))**(-11\/4) assuming t is positive.\nAnswer: t**(638\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1746*q**4 + 14*q**2 + 13*q wrt q?\nAnswer: 41904*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891803832?\nAnswer: 2, 3, 43, 864151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 250, 261, 274, 289, 306, 325?\n\"Answer: c**2 + 8*c + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3684 by 4.\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 9*n**5 + 5154*n**4 - 75663*n**3 + 37296*n**2 + 1221348*n + 1606032 = 0.\nAnswer: -587, -2, 19\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -6*(4 + sqrt(3) + -1) - (sqrt(18) - (sqrt(18) + (-1*sqrt(648) - sqrt(18))))\/(sqrt(30)\/(sqrt(25)\/sqrt(5))))**2.\nAnswer: 338*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049317049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 354922?\nAnswer: 21295.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - j. Let o = j - -2. Sort -1, o, -3.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(3 + (sqrt(567)*1 + 3)*5)*-3.\nAnswer: 1080 + 2700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 279 divided by 44\nAnswer: 279\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 + b + 2. Let t be m(-9). Does 5 divide (-58)\/(-8) + t\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -3 (b) 0.1 (c) 4 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -249 or -8661?\nAnswer: -8661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 13*p + 4308300. What is p rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 4*k + 19*n - 140284010, 3*k - 105212985 = -3*n. Round k to the nearest 100000.\nAnswer: 35100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 + 134. Suppose l*m + 42 = 21*m. Let h(r) = m*r + r**2 - 7 + 6*r - 14*r + 8*r. Determine h(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -183, -271, -357?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 5 = 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f - 4. Let q(x) = -4*x + 4. Suppose -2*a + 7*w + 22 = 3*w, 3*a - 21 = 2*w. Calculate a*q(z) + 4*u(z).\nAnswer: -4*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((31 - 33) + (9 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-2)*12\/300*15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-149)\/4)\/(6\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/33 and -19\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -23*i + 68 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 120 - 136 = 2*a, -3*a - 4*i - 37 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71917276 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - g**2 + 1)*(-1 + 3 - 1) - g**2 - 26*g + 26*g to the form b*g**2 + p + q*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - (-3 - -18 - 18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.6, -0.9, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122486 + -612424\/5. Factor 0*f**2 - 1\/5*f**3 + 7\/5*f + z.\nAnswer: -(f - 3)*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*j**4 - 83*j**4 + 7*j**2 - 4*j**2 + (-5 + 4 + 0)*(2*j**4 + 0*j**4 - 4*j**4) + 3*j**4 - 4*j**4 + 2*j**4.\nAnswer: 22*j**4 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccucccccccc?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -26*k - 151. What is w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 5 - 1)*(0*y + 6*y - 4*y) + 0*y - 3*y - 2*y)*(5 + 0 - 2) to f*y + t and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 342473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -148*o**2 + 15*o - 6. Let r(y) = 2*y**2 - 4*y + 1. What is -j(z) - 6*r(z)?\nAnswer: 136*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6015*a = -334*a - 3563*a - 171629 - 145555 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -390198 divided by -195099?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(512) - sqrt(8)) + sqrt(98) + 1 + sqrt(98) + -3.\nAnswer: -2 + 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 12*u + 30. Let m be r(5). Let j be (-3)\/m + (-91)\/(-105)*177. What is the greatest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:17 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -10*x + 15. Suppose -x*a - 8 = 10. List the prime factors of ((-10)\/a + -2)*-30.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -152 + 58 - -14 - -188.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29572*m - 26494 wrt m?\nAnswer: -29572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*a**18)\/a)))\/(a*a**(-11)*a) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(19\/5)*o*o**(-16))**(-31))**(-17) assuming o is positive.\nAnswer: o**(-29512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -93. Suppose o = 2*a + 11. Calculate the highest common divisor of 112 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6754188.\nAnswer: 2, 3, 7, 80407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -299 + 83. Solve 5*f + 2*s = 3, -f + 8*s - q*s - 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 5*q - 84, 2*q + 72 = c. Let d be 12\/8*c\/24. Suppose -3*y = -15, 254 = 2*s - d*y + 2*y. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 10) to base 4\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6474*v*x**3 - v*x**2 + 24*x**3 - 1124*x**2 + 13 wrt x.\nAnswer: 38844*v + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 190413881257.3+-0.5\nAnswer: 190413881256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20425.7 - -20429. Sort -2\/11, 0.27, f in decreasing order.\nAnswer: f, 0.27, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q = -33*q + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20210320211 - -11?\nAnswer: -20210320200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3532, 3522, 3512, 3502?\nAnswer: 3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/7, -0.09, 0.05, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 3*z**2 + z + 1. Determine k(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = l - 28. Solve -l = -2*k - 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.104 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 71?\nAnswer: -9\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -103*r**4\/12 + 155*r**3\/6 + 124*r**2. Is i(-6) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-240)*4*5)\/((42\/9)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18 - 4 - 11*x**3 + 3*x**2 - 3*x**2 wrt x.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, c: 2, q: 1, f: 1, p: 3}. What is prob of picking 1 p, 1 w, 1 c, and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137747?\nAnswer: 3, 13, 29173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 4695 = -12105. What is v rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/60 and -95\/102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*d**3 - 4432 + 4432.\nAnswer: 148*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 782 = 3*k - 2*n + 7*n, -2*n = -5*k + 1262. Suppose -4*p = -6*p + k. Is p a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 44*k - 107. Let m be n(3). Solve -m = 9*a - 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:12 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 15) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*u**3 - 3*d*u**2 + d*u - 12*d - 238*u**3 + u**2 + 38*u wrt u.\nAnswer: 6*d*u - 6*d - 1428*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {o: 11, y: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10913082 to the nearest integer?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 6. Let s be x(-5). Suppose -2*k + s = -3*k. Let a be (0 - (k + 2)) + -3. Put a, 4, 1 in descending order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 16*p + 38 = 0. Let m(c) = -c**2 - 21*c - 41. Let d be m(p). What is the fourth biggest value in 2\/9, -5, -0.3, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 - 16*f**2 + 16*f. Let l(y) = -y**3 + 3*y**2 - 3*y. Let u(o) = -3*a(o) - 16*l(o). Let v be (0 - 1)\/(3\/9). Let c(h) = -h**3. Give v*c(g) + u(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 122*i - 3910. Determine m(26).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*((sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*-2)) - sqrt(190))\/sqrt(10) - sqrt(19))*-1)**2.\nAnswer: 11875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/4 + 5\/(-20). Solve -z = -3*u - 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (11 - (23 + -1 + -22)) - -130?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 113051581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. What is the least common multiple of 5 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10666723*d*x**4 - d*x**3 + 10370*d*x**2 - 2*x**3 - 195*x**2 wrt x?\nAnswer: 256001352*d*x - 6*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -788, -1824, -3274?\nAnswer: -5138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 484673 - a**2 - 484647.\nAnswer: -2*a**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9796219428 to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1110 - 1110.000000483. Round q to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 5*d - 5*d**3 + 13*d + 5*d - 3*d.\nAnswer: -5*d**3 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*a + 2930 - 1228 = 1153 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -24. Find the first derivative of -1 + 7*n**3 - 36 - b*n**3 wrt n.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*c - 7. Let l(v) = 12*v**2 + v - 10*v**2 + c*v - 3. Let u(h) = -h**2 - 7*h - 9. Let t be u(-6). Give l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -39976*j**2 - 456*j + 76. Let v(w) = 1599*w**2 + 18*w - 3. Calculate -3*o(k) - 76*v(k).\nAnswer: -1596*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 7*i**2 - 8 + (-6 + 6 - 2*i)*(0*i + i + i) + 2 - 2 - 3*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (66 + -65)*(-10)\/4*-2. What are the prime factors of l*(0 - 6 - -37)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15625 divided by 9?\nAnswer: -15625\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*(56 - (10 - -50)) - 1142\/143.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178.7999990717 + 178.8. Round f to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5 + 0*w + 1\/5*w**2.\nAnswer: (w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (11 - 18 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62355 and 39685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 253.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/((-288)\/30)*40\/125?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -557 + 11699\/21. Let b(n) be the first derivative of 0*n**2 - p*n**3 + 2\/7*n + 4. Factor b(c).\nAnswer: -2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 39472.786\nAnswer: 31578.2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.07 - 24. Let i be 4*(-4)\/(-8) - 4. Suppose 5*t = -3*l + 8, -5 = -2*l + l - 4*t. What is the third biggest value in i, b, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*r + 198, 1002*y = -14*r + 1005*y - 555 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 101000110001101 (base 2) to base 12\nAnswer: 100b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15289100 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r - r - r + (3 - 2 + 0)*(r - 2*r + 0*r) - r - 1 + 1 - r - r + 3*r + 2*r - 2*r - 2*r + (-r + 39*r + 54*r)*(-1 - 4 - 1) as d*r + h and give d.\nAnswer: -557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-9)\/(-270)*0*(-5)\/(-40)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 37*p**2 + 78*p + 6. Let r be h(-39). Let s(a) be the second derivative of 3*a**3 + 22*a**2 - 9*a. What is the hundreds digit of s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -62376, -124769, -187164, -249561, -311960, -374361, -436764?\n\"Answer: -t**2 - 62390*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1004\/12*3\/(-1). Let r = y + 257. What is the remainder when 22 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -198, -399, -600, -801, -1002, -1203?\n\"Answer: -201*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -52, 0, -1, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-75)\/15 - (-26 - -10) - -19?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*x**3 + 269*x**3 + 332*x**3.\nAnswer: 782*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**(-5\/4)\/y*y)\/y))\/y**(22\/5))\/((y\/(y**(-18)*y))\/(y*y\/((y**25*y*y)\/y)*y)))**8 assuming y is positive.\nAnswer: y**(-1686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/28 - (-8 + 75\/10). Let o(q) be the second derivative of 0 + v*q**3 + 3\/28*q**4 + 3\/140*q**5 + 8*q + 3\/14*q**2. Solve o(c) = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/(-2)) + 8\/60?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(171) - sqrt(171)) + (0 + sqrt(171) + -3 + sqrt(171))**2)*-2 - ((((sqrt(171) + sqrt(171)*-1)*-6)**2 + sqrt(171))*5 + 1).\nAnswer: -1393 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3\/3 + 12*b**2 + 144*b - 265. Factor t(w).\nAnswer: (w + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 95 - -2c9b93?\nAnswer: 2c9c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30212003 - -3?\nAnswer: 30212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + aa?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1061 divide 121833569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 27522629.\nAnswer: -14\/27522629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 67 - 67. Let d(p) = 10*p + 4. Let h(z) = d(z) + 8*y(z). Find the first derivative of h(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m. Suppose m*a = 2*a - 4, 4*k - a - 18 = 0. What is the remainder when 9 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.31, 0.1, 29 in descending order.\nAnswer: 29, 0.31, 0.1, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11419174.\nAnswer: 2, 13, 439199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 200035?\nAnswer: -200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-18)*(8*12\/48)\/(-64)?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/546528 and -79\/36.\nAnswer: 1639584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5 + 25 = 0. Let s be 63\/90 + 6\/c. Put -3\/5, s, -5 in decreasing order.\nAnswer: -3\/5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102369*d**3 + 74213*d wrt d?\nAnswer: -614214*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 4*(sqrt(209) - (sqrt(209) + -1*sqrt(209))))\/((sqrt(11) + sqrt(99)\/sqrt(9))*1)*-4.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1414 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3 + 105*l**2\/2 - 468*l - 7351. Suppose d(r) = 0. What is r?\nAnswer: -39, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + sqrt(75)*2.\nAnswer: -5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.4756507*1\nAnswer: -1.4756507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1280654552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 27 + (11 - (27 - 1)) + 8\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 73. Let i = 4 + 0. What is the nearest to -0.2 in i, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -22, 1 in descending order.\nAnswer: 1, -22, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -4. Let p(z) be the third derivative of z**5\/60 + z**4\/24 - z**3\/2 + 2*z**2. Let s(m) = 2*m**2 + 2*m - 5. What is g*p(x) + 3*s(x)?\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23358 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - -6 - (2 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 282079336 divided by -8?\nAnswer: -35259917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 20*p**2 - 2*p - 6. What is the units digit of v(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -151 + 219. Suppose s - 46 - r = 0. Let l(o) = -123*o - 1 + 9 + s*o. Let f(d) = 2*d - 2. What is 26*f(n) + 6*l(n)?\nAnswer: -2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/107 bigger than 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 32\/7 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -33*c - 46 - 4 + 47 - 21*c**2 + c**3 - 45. Is n(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -293, 3, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8919.8 - -8920. Let u(k) = k - 3. Let x be u(2). What is the third biggest value in c, -3\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + 33 - 27 - 21 + 3*l to c*l + a and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*w + 168*w + 121 = -1085 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32496, 64992, 97486, 129978?\n\"Answer: -r**2 + 32499*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*g + 41 = 0, -2*w - 51*g = 29*g - 26*g - 434 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -68. Find the third derivative of -j*q**4 - 30*q**6 - 23*q**2 + 39*q**4 wrt q.\nAnswer: -3600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2. Let z be 85\/10*8*1. Let u(w) = -68 - 6*w**2 + w**2 + z. What is u(a(o))?\nAnswer: -80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 1. Let v(y) = 2*y + 1. Let z(t) = -4*b(t) - v(t). Let i(q) = 5*q + 4. Calculate 4*i(w) + 3*z(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 77\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -22011?\nAnswer: -22014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8910679ml in litres?\nAnswer: 0.0008910679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -4 (c) 6\/419 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2130*u = -92728 - 73714 - 3958 for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 - (-1 + 0). Suppose 5*j + 25 = r*n + n, 0 = n - j - 7. Suppose -u = -n*u + 192. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 7*c**2 + c. Suppose 0 = t - 4*r - 7, 28 = 4*t - r - 4*r. Calculate m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Suppose t = -2*u + 5. What is the units digit of -1 + (10 - u\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -42*u**3 + 5*u**2 + 5*u + 7. What are the prime factors of k(-3)?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 100, 158, 218?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 less than -20249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 + s - 7. Let k(m) = 7*m**3 - m**2 + 2*m - 15. Let r(v) = 4*k(v) - 9*q(v). Let j be r(4). Is (j + -2)\/(-6)*62 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 73948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 991558612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*r + 20*g**3 + 2*g**2*r - 10219*g**2 - 4875637*g*r wrt g.\nAnswer: 12*g*r + 120*g + 4*r - 20438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33063504.\nAnswer: 2, 3, 17, 40519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/11 - 45509720*b\/11 + 258891826809800\/11.\nAnswer: 2*(b - 11377430)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*m - 50, -59 + 18 = -2*m - l. Let g(x) = 38*x**3 - 2*x**2 + 7*x - 7. What is the remainder when g(1) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*0.0847226\nAnswer: -0.006777808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953184196 to the power of 1\/2, to the nearest integer?\nAnswer: 44195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -11 - 142) + 4 - (-11 + 2)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 71196 (b) -2\/13 (c) 1 (d) 3\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 = -3*j + 59, 0 = 3*j - 3*b - 69. Let h be 4*(-1 - j\/(-2)). What is the remainder when h\/3 - (-2)\/(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Let s = -3 + n. Solve 0*z + z + 2 = s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 331142*t\/5 - 27413756041\/5.\nAnswer: -(t - 165571)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -111010001101100 (base 2) to base 5\nAnswer: -1423204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 2236031?\nAnswer: -2236014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*y**3 + 68*y**3 - 7*y**3)*(-2 - 2 + 2).\nAnswer: -324*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 4*i - 1 + 6*i - 2*i. Let t(c) = 20*c - 9*c + 2*c - 8*c - 6*c. Determine t(m(y)).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 31*o**2 + 16. Let l(u) = 92*u**2 + 49. Let f(j) = -6*l(j) + 17*s(j). What is the derivative of f(c) wrt c?\nAnswer: -50*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159)*4*1)\/((sqrt(96)\/(4*sqrt(8)))\/sqrt(4)).\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 14*d - 3. Let b be u(6). Let t = 48 + -2. Let r = t - b. Calculate the least common multiple of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-8)\/50)\/((-20)\/(-50)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 - 4*v + 7. Let x = -2 - -2. Suppose -30 = -2*b - 5*h, -16*b + 21 = -15*b + 4*h. Suppose x = b*n - 4*n - 5. Calculate i(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 148*j**3 + 6*j**2 + 3*j + 45. Let w(m) = -298*m**3 - 14*m**2 - 7*m - 92. Let s(n) = -3*w(n) - 7*y(n). What is the derivative of s(p) wrt p?\nAnswer: -426*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:35 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -46, -238 in decreasing order.\nAnswer: 5, -46, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(sqrt(24)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 51468*d**2 + 10*d + 2. Let x be y(9). Suppose 6 - 36 = -10*u. Suppose u*j - x = -8*j. Round j to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -405\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*y = 214*y + 187*y + 528 + 954 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 64, -41, -242, -539?\n\"Answer: -48*y**2 + 39*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 767, 1575, 2383, 3191, 3999?\n\"Answer: 808*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 9:10 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-seven halves of a millimeter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 17*o + 0*o - 4*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 228 times -0.032\nAnswer: -7.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2545*-0.07505\nAnswer: 191.00225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9))\/((-4)\/12). Let z be 1\/2*a*9\/(-6). Let l(r) = r**2 + 4*r - 4. Let j be l(-4). Sort 5, z, j in ascending order.\nAnswer: j, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.345908 and -3.2.\nAnswer: -1.1069056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, 2\/11, 5, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-26))\/(7\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 39711343.28 to the nearest 100000.\nAnswer: 39700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -25*g + 294. Solve 10 + g = 8*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 10518363.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -10*u**2 + 2. Let z(d) = 70*d**2 - 15. Let b(o) = -15*v(o) - 2*z(o). Let y(x) = -7*x**2. Determine y(b(k)).\nAnswer: -700*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 51*a**2 - 17*a + 69. Let q be 7 + (4 + -7)\/((-9)\/(-6)). Is t(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -129*p**3 - 33*p**2 + 33*p + 33. Let h be (594\/55 - 10)\/((-6)\/15). Let c(o) = -8*o**3 - 2*o**2 + 2*o + 2. Give h*l(d) + 33*c(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11122460?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3064 and 32555?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 128 + 4*d**2 + 84.\nAnswer: 4*d**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.323849l to millilitres.\nAnswer: 323.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -g - 5, -22*g + 2*o + 40 = -30*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52\/5 of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/((-6)\/8). Let v be (p + 4)\/(2*1). Suppose 0 = -d, -6*w + 2*w = -v*d - 8. Solve 0*m - m = -w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/((sqrt(60)\/sqrt(3))\/sqrt(5)) + -3)**2 + 2.\nAnswer: -6*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3432*n + 3418*n + 168 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 76*u**2 + 137*u - 2. Let a(r) = -75*r**2 - 138*r + 2. Let y(c) = 5*a(c) + 4*o(c). Find the second derivative of y(w) wrt w.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56d (base 14) to base 5\nAnswer: 13302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-1\/34)))\/f**8)\/((f**(-1\/2)\/f)\/(f\/f**(2\/17))) assuming f is positive.\nAnswer: f**(-96\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 36c86?\nAnswer: 36c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/14 and 53\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**3\/3 + j**2\/2 - j. Calculate the remainder when 25 is divided by q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3827, -2725, -869, 1741, 5105?\n\"Answer: 377*q**2 - 29*q - 4175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 22 = -x - 5*c + 25 + 30 - 71, 0 = -4*x + 9*c + 27 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16757.02ng in micrograms?\nAnswer: 16.75702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6195969 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51268739909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1, x: 1, j: 7, u: 2, v: 3}. What is prob of sequence xuq?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44226899*m**3 - 458815*m - 35 wrt m.\nAnswer: -265361394*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/((-352)\/78639) + 3\/8 is divided by 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -131433878 or -0.1?\nAnswer: -131433878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 3)*(1 - 1 + o)*(1 - 740400*o - 1 + 731509*o) to the form g*o**2 + z*o + m and give g.\nAnswer: -44455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -348240 (base 9) in base 16?\nAnswer: -3320d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/5, -6\/7, 0.2964, 4, 1\/4, 654?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgqklkwkdddqkwq. What is prob of sequence wd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143740661?\nAnswer: 17, 67, 126199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*g**3 + 2*g**2 - 117144*g**4 + 0*g**3 + 116937*g**4 + 571 wrt g.\nAnswer: -4968*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5\/2 + 51*p**4 - 867*p**3\/2.\nAnswer: -3*p**3*(p - 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104399 - 243383*h - 104399.\nAnswer: -243383*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74876322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*g, 5*x + 10 + 3 = 3*g. Suppose 13 + 0 = u. Let n = x + u. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -6. Let k = 426.97 + -427. What is the closest to -1 in v, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*v = -3*v. Let s(b) be the second derivative of -3*b + 1\/12*b**4 + v - 2\/3*b**3 + 2*b**2. Find k, given that s(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2074.278 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.506422 and 4.\nAnswer: 6.025688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9228 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**4 + q**3. Let a(c) = -337*c**4 - 6*c**3 + 327*c. Let s(m) = -a(m) - 6*t(m). Find the second derivative of s(o) wrt o.\nAnswer: 3900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnncc. Give prob of sequence ncc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (662\/(-588) - 836\/20482) + (-283)\/(-6)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/75*-9*2\/(-6)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -211*l**4 - 506 wrt l?\nAnswer: -844*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6825, 6832, 6839, 6846?\n\"Answer: 7*u + 6818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 9*f - 8*f - 17, -2*f = -4*y - 34. Solve -6*c + 1 = -f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2435035 and 0.3.\nAnswer: 730510.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0.1. Let u be 1784\/(-112) + 15 - 6\/(-14). Let j = -804\/13 + 62. Put u, j, t in descending order.\nAnswer: t, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - t**4 + 5*t**4)*(-5*t - 5 + 5) + t**4 + 148*t**3 - 28*t**5 - 148*t**3.\nAnswer: -38*t**5 + t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/77))**(-1\/38)\/(y**33)**13 assuming y is positive.\nAnswer: y**(-627666\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - 9\/7. Let y = -25 + 56. What is the remainder when y is divided by (-2)\/(k*2)*16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(1\/7)))\/(q\/(q*q*q*(q\/(q*q*q*q**(-7)*q))\/q)))\/(q**(-1))**(-11))**(-6\/7) assuming q is positive.\nAnswer: q**(246\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9*(-16 + 1). Suppose 4 = -2*z + 5*y - 1, l = 5*z + 5*y. Suppose -19 = -p + 3*k, z*k - 4*k = 3*p - 5. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w - 26 + 26)*(-69 + 368 - 106 + 559).\nAnswer: -9024*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 - 3*l - 2. Let k = -77 - -147. What is the lowest common multiple of (-59)\/(-5) + 14\/k and u(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10298, -10279, -10246, -10199, -10138, -10063, -9974?\nAnswer: -9871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krkkrrrr. What is prob of sequence rrr?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 47*t**2\/2 + 276*t - 62. Differentiate y(p) wrt p.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4354a6 (base 12) to base 15\nAnswer: 1611a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 10:00 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 + 6*k - 5. Let z(v) = -5*v**3 + v**2 - 6*v + 6. Let a(w) = 6*g(w) + 5*z(w). Let x be a(6). Factor 0 + x*u**2 - 2\/7*u**3 + 2\/7*u.\nAnswer: -2*u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29990 + -29984 + 0 + -63?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 - 231\/(-63). Suppose 3*r + 2*n + 68 = 4*r, -s*r + 4*n = -252. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 32 = -c, -9782*c + 174 = -28*f - 9779*c for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 157797898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 22*k - 14. Let y be z(-10). Let o = 8 - y. Suppose -95 = -o*u - 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.3, 7.7, -0.5, 2\/13?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 26. Suppose 9 = 2*m - 55. Let x = m - 21. What is the remainder when k(-8) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1056)\/3564*-2*(-55)\/(-176)?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + 1 + -1.\nAnswer: 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 27 - 34)*(-4 + 2*s**2 + 4)*(-18 + 21 + 19) as c*s**2 + w*s + o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a + 129*a = 450 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -475 + 940. Let j = -557799 + 557866. What is the remainder when z is divided by j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 1, -0.12, -8.65, 0.5 in descending order.\nAnswer: 4, 1, 0.5, 0.4, -0.12, -8.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-21))\/(1*-1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 30. Suppose -2*m + d = 3*m + 5*k, -11 = 3*m - 2*k. Let a(y) = -4*y + 1. Determine a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-280)\/(-196))\/((-290)\/(-7714))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*g - 53, -43 - 50 = -c - 5*g. Does 34 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-32)*4\/(-10). Suppose 6 = 5*m + 3*v + 28, 4*m = v - 4. Let q be 4\/5*(-15)\/(-9). Sort m, q, c in increasing order.\nAnswer: m, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1939.00014099 - 1939. Round k to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15455, -15448, -15441, -15434, -15427?\nAnswer: -15420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573763879.\nAnswer: 13, 157, 197, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 7:24 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 52*h + 16 - 30)*(345 + 61 + 418 + 393 - 147) to the form v*h + u and give u.\nAnswer: -3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/168)\/(325\/78)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) 5\/2 (b) 8\/71 (c) 571 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62390.76332 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**6))\/(w\/w**(2\/73)))**(-34) assuming w is positive.\nAnswer: w**(17306\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3.87 (b) -5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + sqrt(2) + 2)*-2.\nAnswer: -15 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -8. Let t = -0.0224 + -0.4776. Which is the third biggest value? (a) k (b) -0.3 (c) 5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3 + 5178*y**2 - 1874848*y + 1869672 = 0. Calculate y.\nAnswer: 1, 434, 2154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y - 8. Suppose 2*c - 51 = 3*h, h = -5*c - y*h + 96. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101100110 - -10010111?\nAnswer: 11111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(3\/7))\/h)\/h**(2\/77)*h**(-6)*h\/h**13 assuming h is positive.\nAnswer: h**(-203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -704.6 - -705.2. What is the third smallest value in -2, -1, j, -2\/13, 11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 6*v + 4*r - 4, -4*v - 3*r + 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48660503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 27*s + 324. Let t be n(-9). Let i(o) = o**2 - 6*o + 5. Let w be i(6). Sort w, -5, t, -8.\nAnswer: -8, -5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*i = -2*i + 950, -4*r + 5*i = 1903. Let p = -447 - r. Calculate the remainder when 67 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1004706\/7 + 143775. Let u = -245 + f. Let s = 2634 + -2633. What is the closest to s in 4\/3, u, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1)\/2 - 7. Let a be 3\/g + 6\/(-4). Let j be 10\/(-3)*((-6)\/(-12) + -2). Put 1, a, j in increasing order.\nAnswer: a, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8128 + -8062. What is the greatest common factor of h and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 548.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 3*u - 5*r + 25, -u + 5*r = 13. Let f be 2 + (0 - 5*u\/6). Let o(m) = -2*m. Let y be o(1). What is the smallest value in y, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178319\/377 - -473. Is -1 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.382721 kilometers in meters?\nAnswer: 8382.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56\/(-102) + (-8)\/(-12). Let r = 23 + -30.7. Let c = -8 - r. Put -1\/5, y, c in increasing order.\nAnswer: c, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -8)\/(-3 + 10). Is h less than or equal to -2.61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0675934ng to tonnes.\nAnswer: 0.0000000000000000675934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 6:38 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/55643 + 4795591739\/1335432. Let w = b + -3592. Find the common denominator of -43\/6 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79193 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 10*f + 7*f - 27)*(2 + 1 - 2)*(-1 - 3 - 1) - 2*f + 6*f - f - 3 + 2*f + 3 + (f + 2*f - f)*(1 - 4 + 5) + 5 - 5 - f.\nAnswer: -77*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108, -87, -50, 3?\n\"Answer: 8*g**2 - 3*g - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4117 and 782767.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1260.06 - 1247. Let d = 13 - g. Let c = 0.1016 + d. What is c rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, d: 5}. Give prob of picking 2 x and 1 d.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 13*r**2 + 4*r + 14. Let y be x(7). Let l = 13 + y. Let c(u) = 2*u - 9. Calculate c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 27*z**2 - 159*z + 91. Let s be o(32). Solve -167 = -11*b - s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11458*o - 6740. Let x(y) = 5*y + 4. Determine l(b) + 1685*x(b).\nAnswer: -3033*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 8, 2*n + 3 + 1 = 4*k. Suppose k*q + 3*g - g = 144, -3*q + g = -212. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2 (c) 1\/5 (d) -3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gellgeggglegggggggg. Give prob of sequence lg.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51\/(-2) - (-385)\/110)*(-6)\/(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649689779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1\/3*d**4 - 1\/6*d**2 - 11\/36*d**3 + 0 - 7\/90*d**6 + 22*d - 13\/60*d**5 - 1\/84*d**7. Factor f(n).\nAnswer: -(n + 1)**4*(3*n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/56784 and -23\/11830.\nAnswer: 283920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 69380954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -703 - -708. Solve -f*k + 23 = -2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - -3*sqrt(252)*-6) + 4*sqrt(252)*1)*6)**2.\nAnswer: 1533168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(2\/11)*k*k\/(k*k**(-23))*(k\/(k**(-16)*k))**(-38) assuming k is positive.\nAnswer: k**(-6415\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100101101001001 (base 2) in base 8?\nAnswer: -3045511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from sssssssscsssscssss.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2)\/(13\/2 + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3010*b**4*x**2 + 40*b**4*x - 2*b**2*x**2 - 2*b**2 + 2*b*x**2 - 18384*b*x wrt b?\nAnswer: -72240*b*x**2 + 960*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - 1.38. Let b = 0.8 + n. Round b to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378.\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.46001 rounded to one dp?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -1.7\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30163947 divided by -4\nAnswer: -30163947\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 19*t**2 + 2*t - 15. Let x be i(19). Let q = x + -2. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*u - 5 = 0, 3*u = -2*b + 43. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 8684?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 14. Let m be p(12). Suppose 30 = m*x - 18. What is the greatest common divisor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32247.\nAnswer: 3, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 5024*x**2 + 20048*x - 20032.\nAnswer: 4*(x - 1252)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 281, 102, -3, 0 in decreasing order.\nAnswer: 281, 102, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5 - 1054*r**4 - 4226*r**3 - 6344*r**2 - 4231*r - 1058 = 0.\nAnswer: -1, 1058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldidlillilillddi. Give prob of picking 3 l and 1 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**3\/4 + 9*u**2\/2 + 27*u + 12. What is h in n(h) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h**2 + 10*h - 26. Calculate v(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1267570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5315*i + 4422*i + 4719*i - 1666*i to q + o*i and give o.\nAnswer: 12790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -358036633 + -0.2?\nAnswer: -358036633.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 1331251259*z**2 + 1331251260*z**2 + 50.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-18744)\/1848 - 4\/(-2 - 26)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/q**(12\/13)))\/q)\/(q\/q**(5\/14)) assuming q is positive.\nAnswer: q**(-131\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6700367 + -52958854. Let c = -84758487 - m. Round c to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**3 + 42*c**2 - 24*c - 31. Is p(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*f - 1 + f**4 + 2*f**2 + f - 2 to i*f**2 + q + m*f**4 + b*f**3 + t*f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 16, -2, -8, 5, -15 in increasing order.\nAnswer: -15, -8, -2, 5, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 2, -11\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**3\/3 + 35179*k. Let l(i) = 2 - 16*i - 5 + 5*i. Calculate r(l(a)).\nAnswer: -22*a - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e2 + 1cc6?\nAnswer: 13d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441230 - 33413?\nAnswer: -1030143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k**3 - 11*k**2 + 65*k + 11. Let r(h) = -4*h**3 - 2*h**2 + 13*h + 2. Let o(u) = 2*n(u) - 11*r(u). Find the second derivative of o(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 8. Let b = -6 - -4. Let s be b + 3 + 0 + 3. Give c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196262096 and 2432?\nAnswer: 1570096768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1*35*(-5)\/185. Put k, -1\/2, 0 in increasing order.\nAnswer: -1\/2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14699 (base 10) in base 8?\nAnswer: 34553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 26\/5 of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -23, -32, -41?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-126)\/5)\/(12*9\/(-360)) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19145871 is divided by 3017?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/40 + j**5\/20 + j**4\/24 + j**3\/6 + 244*j**2. Let q(c) = -6*c**3 - 5*c**2 - 2*c - 2. Give 5*f(u) + 3*q(u).\nAnswer: -3*u**3 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061 a factor of 1083625893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4390*f - 2212*f - 2163*f.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**2 + 7920150*r = 0.\nAnswer: 0, 1584030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 52*o + 0 - 8 - 8 + 18.\nAnswer: -54*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10802, 21663, 32522, 43379, 54234, 65087?\n\"Answer: -k**2 + 10864*k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 - 4*j + 12. Let u be k(-6). Suppose -7*o - 2*o + 72 = u. Calculate the smallest common multiple of o and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2404037747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-125)\/(-19250)*-1364)\/(2\/(-7)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2873 + 12096. What are the prime factors of g?\nAnswer: 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100010010001 (base 2) to base 14.\nAnswer: -6aad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3775, -7555, -11335, -15115, -18895, -22675?\n\"Answer: -3780*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)\/t*t*t)**(-8\/11)*t**(-6)*t**(2\/13) assuming t is positive.\nAnswer: t**(-2612\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4241519137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1192912960 to the nearest one hundred thousand.\nAnswer: 1192900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z - 14. Let d be q(4). Suppose -k + d = 3*y, 2*k - y = -3*k + 46. Calculate the remainder when k is divided by (-2 + -13)*(-2)\/(-10)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, y: 2, p: 8, t: 1, o: 1, w: 4}. Give prob of sequence yw.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/345 - 1*3\/15.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7440 is divided by 266?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51428 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -7*z**6\/10 + 9*z**5\/40 + 9*z**4\/8 + z**3\/2 + 15*z. Let q(g) = 0. Calculate g.\nAnswer: -1\/2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24223 (base 6) to base 11.\nAnswer: -2731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 533, 4253, 14381, 34133, 66725, 115373, 183293, 273701?\n\"Answer: 536*n**3 - 12*n**2 + 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 0*t = -175*d + 173*d + 16, -4*d + 35*t - 269 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -0.1, -1639?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13567989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/4)\/(1\/4). Let r(q) = -q**2 - 16*q + 4. Let m be r(-16). Suppose -2*w = 2*t - 22, -19 = -3*w - t + m. What is the greatest common factor of w and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (-1*(-1 + sqrt(2)))**2 + 5 + 3.\nAnswer: -2*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4443*t + 4. Let v be x(-4). Let q = 36 - 30. Is v\/q - (-10)\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + 0 + 5. Let a(d) = 0*d + d - l + 6 - d**2. Let k be a(2). What is the third smallest value in -1\/4, -4\/5, k?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 + j - 6. Let f(r) = -r**2 + 5*r + 3. Let o be f(4). Let k be c(o). Differentiate -3 - k + 3 + 2*s**4 with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0115 - 44.1885. Let q = -3.7 + -40.3. Let h = q - n. Is -12 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/8 - 4\/16. Suppose x*c - 19 = -0*j + 5*j, -c - 3*j = 3. Is 53\/(-1)*(-3)\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 10*a + 3. Suppose -7 + 2 = p + 3*x, 0 = 4*p + x - 35. List the prime factors of i(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**9\/2520 - k**6\/120 - 5*k**4\/12 + 5*k. Let t(j) be the third derivative of g(j). Find the second derivative of t(p) wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1240 = 430. 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: Suppose 0 = 19*k - 80869 + 29151. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2. Let g(b) = -21*b**2 + 3. What is x(g(a))?\nAnswer: -1323*a**4 + 378*a**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c**2 - 26*c + 24. Let o be y(8). What is the nearest to o in -5, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/42*-2*-3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*z**2 + 2*z**3 - 2*z + 2*z - 423*z**2.\nAnswer: 2*z**3 - 835*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -21, -1\/4, -2\/15, 9\/640, -5?\nAnswer: 9\/640","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**3 + 5*h**2 + 2*h + 5. Let f(m) = -m**3 + m**2 + 1. Let a be (-14)\/3 + 2\/(-6) + 4. Calculate a*s(t) + 5*f(t).\nAnswer: 4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(171) + sqrt(171) + (1 + sqrt(171))**2).\nAnswer: 24*sqrt(19) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:04 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 10*n - 12. Let z be r(8). Let k(h) be the second derivative of -h**3\/2 + 3*h**2 + 4*h. What is k(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -2\/3, 0.1, 8, -7.1, -9\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -199858 + 316811. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*-0.86\nAnswer: 0.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.105 * 161.73.\nAnswer: 16.98165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose l = 3*b + 2*b - 25. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15259416.\nAnswer: 2, 3, 635809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-4))\/((59\/826)\/(19\/133)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0 - 6. Suppose -f*a + 2 - 4 = 0. Is (-6)\/(((-2)\/(-11))\/a) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1464 and 57\/80.\nAnswer: 14640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*b*n**2*s + 35*b*n**2 + 2*b*s**3 + 44*b*s + 39*b + 2*n**2*s**3 with respect to n.\nAnswer: -208*b*n*s + 70*b*n + 4*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/25290787?\nAnswer: -4\/25290787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*j - 16185 = 625 + 22922 - 4254 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0\/2)\/3)\/1. Solve 2*w + 8 = -4*o - g*o, 15 = 3*w - 3*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18834 divided by -8812.\nAnswer: -9417\/4406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 2, r: 5}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 6525\/6235 - 2\/43?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 89937 + 36303 = 0. Let j be c\/12 + 3 + 1. Let t = -20983\/10 - j. Find the common denominator of 13\/8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4343282 - 178?\nAnswer: -4343471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3308 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-15) - 2\/(-3). Is 365 - (3 + 2 + z) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4272 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -177*k**3 - 480*k**2 + 4*k - 4728068.\nAnswer: -531*k**2 - 960*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3 + 4c1?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5768, 23853, 53996, 96197, 150456?\n\"Answer: 6029*t**2 - 2*t - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*x + 355, 5*v - 2*v - 3*x = 375. Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57\/5, 1, 62.\nAnswer: -57\/5, 1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -31. Let y = -31.9964 - b. Round y to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 27*n - 19*n. Solve 3*w - n = -4*r - r, 29 = 5*r - w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -5.6149713481.\nAnswer: 11.6149713481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -108, -157, -206, -249, -280, -293, -282?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 5*r - 26, -2*p - 14 = -2*r. Let h be (-4)\/10 - ((-12)\/(-20) - r). Sort 0, h, -5, 1 in decreasing order.\nAnswer: h, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 533028 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -893*j**6 - 2*j**4 + 2*j**2 + 3*j + 2 wrt j.\nAnswer: -107160*j**3 - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.5. Let k = 89 + -91. What is the nearest to -0.1 in h, -2\/3, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/2 + 1081*p**3 - 1218813*p**2\/2 + 26911220*p - 51393454 = 0. Calculate p.\nAnswer: 2, 46, 1057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 475324.8 millennia?\nAnswer: 5703897600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {e: 2, q: 2, t: 1, m: 9}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 98. Suppose -2*d = -t - 20. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:46 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5364 + -15240?\nAnswer: -22624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*h - 10 = 0, -17*v + 2*h = -12*v - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/12 + 17*r**3\/6 + 19*r. What is the second derivative of v(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 40\/(-5) - (-86)\/(-2). Let b(d) = 13*d - 13. Let y be b(-6). Let n = l - y. Calculate the remainder when n is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2 + 394*y + 38809 = 0.\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 30 - 42 = 0. Let d be 2 + 0 + x + -4. Solve 2*o + 4 = -d*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1497, -0.1, -2, 7\/632?\nAnswer: 7\/632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**5)\/p)\/(p\/((p*p*(p*p*p**1)\/p)\/p)*p*p))\/(p**(-2\/5)*p)**(-40) assuming p is positive.\nAnswer: p**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 453953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**3 - 263585*z + 10539982.\nAnswer: -3*z**2 - 263585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -6. Let u(c) = c**3 - 3*c**2 - 4*c - 4. Let o be u(4). Let s = o - -6. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 - -54.6. Let h = -15.5 + s. Let v = h + 0.9. Which is the smallest value? (a) -0.3 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 1151*k**3 - 24657*k**2 + 52763*k - 26956.\nAnswer: (k - 1172)*(k - 1)**2*(k + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 19*f**2 + 10*f + 160. Determine g(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 5 - -6) + -2 + -2 - (858 - 756).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 16 - 38 + 46. Solve b*s + 13 = 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 - 56. Let r(o) = -o**3 - 4*o**2 - 2*o + 3. Let m(q) = -2*q**2 - 1. Let v be m(1). Let z be r(v). Sort -1, g, z in ascending order.\nAnswer: g, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/9)\/(58\/(-29)))\/((-1)\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-136 - -139)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -228, -226, -224, -222?\n\"Answer: 2*r - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 + 4*z**2 + 7*z. Let v(h) = -5*h**3 + 5*h**2 + 6*h. Let t(d) = -6*k(d) + 7*v(d). Find the third derivative of t(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p - p - 3*p)*(-122 - 24 + 72) + p + 0*p + p + (-3 + 1 + 1)*(0*p + 2*p - 6*p) in the form l + h*p and give h.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/9 + 20*n**3\/3.\nAnswer: 2*n**3*(n + 30)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3 - 55*l**2 - 254*l - 200 = 0.\nAnswer: -50, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2652483894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-192)\/(-64))\/((-78)\/(-520)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 1 - 89\/(-36) and (-43100)\/16800 + 3 + -4 + (-1)\/7?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 615 divide 1655931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcju when four letters picked without replacement from {j: 5, m: 1, c: 1, g: 1, u: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1428990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + -117?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and (-2)\/(-4) - (-18603)\/54?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-1353)\/(-6)) + (-140637)\/(-53095).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + -0.055814978?\nAnswer: -42.055814978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2936 + -0.5064. Let g = -2918278.55000281 - -2918274.75. Let z = t - g. Round z to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 + 21*g - 21*g + (-25 - 7 + 2 - 9)*(-58*g + 58*g + 21*g**2) in the form o*g**2 + j*g + u and give o.\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**2*s - 79*p**2 - p*s**2 - 7*s**2 + 3 wrt s?\nAnswer: -p**2 - 2*p*s - 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-47)\/(-9) + 18\/(-81). Suppose 2*s - a - 4 = 0, j*s - 5*a = 12 + 8. Let f be -2 - 1 - (1 + -8). Solve s = -2*z + 5*u + 1 + 8, 10 = f*z - 2*u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 + (0 - 0)). Let r = -0.1 + -2.9. Let p = -3.2 - r. Which is the closest to h? (a) -0.5 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90151794 is divided by 7275?\nAnswer: 7269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a*r**3*z**3 - 7*a*r**3 + 25*a*r - 14*a*z**3 - 286*r*z**2 + 53*z wrt z?\nAnswer: -18*a*r**3*z - 84*a*z - 572*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1\/3, 5, 3\/2.\nAnswer: -29, 1\/3, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38856366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 710 + -711. Put -0.01, 6, j in descending order.\nAnswer: 6, -0.01, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - -7) + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*t - 95*t + 22557*t**2 - 22556*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 604805687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2938*l**2 + 14 + 18 - 70 + 17 + 23)*(0*l + 0*l - 3*l**2).\nAnswer: -8814*l**4 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772 or 815?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 3*s - 9*s. Suppose s = p - 2*p + 6. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*((-9)\/15)\/(-3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -11*c**2 - c - 40. Let r(y) = 37*y**2 + 4*y + 120. Give 10*d(k) + 3*r(k).\nAnswer: k**2 + 2*k - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**1\/m)\/m)\/(m**(-6)\/m))\/((m\/(m\/m**(-4)))\/(m**4*m*m))*((m\/(m\/(m*m\/(m**(-3)\/m))))\/m**(1\/8))**(3\/46) assuming m is positive.\nAnswer: m**(6397\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 473606 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147301345 to the nearest integer?\nAnswer: 12137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -15 - (-2 - (-3 + 0))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127790 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**3*r*z**2 + 146*a**3*r*z - 3*a**3*r - 21*a**2*z**2 - 2*r wrt z?\nAnswer: 8*a**3*r - 42*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*u + 39239 = 728144. Calculate the greatest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -391, -809, -1261, -1753, -2291, -2881, -3529, -4241?\n\"Answer: -y**3 - 11*y**2 - 378*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 85*g + 2. Let h be n(3). Let y = h - 182. Suppose 4*p = -4*q + 108, -3*p + 5*q + y = 2*q. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + 1 + -4)**2 + -4 + -2 + sqrt(2) + -2.\nAnswer: -11*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251.99 - 253. Round r to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 4?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2393147*-7.\nAnswer: 16752029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.980915 take away -5.1?\nAnswer: 6.080915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7961432.49 to the nearest 100.\nAnswer: 7961400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d - 22. Let g(n) = -2*n - 8. Let u be ((-2)\/5*-5)\/((-6)\/9). Let s(o) = u*c(o) + 8*g(o). Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3975?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9.4, -2, 3, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6330 and 139\/44848050.\nAnswer: 44848050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 181666435 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6199342743 to the power of 1\/2, to the nearest integer?\nAnswer: 78736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**2*n**2*v**2 + 171302*m**2*n*v + 908264*m*n**2*v**3 - m*n + n*v**3 wrt n?\nAnswer: 4*m**2*v**2 + 1816528*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 7:37 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -1992*n**5 + 334655*n**4 - 18740568*n**3 + 349817664*n**2 + 175616*n = 0?\nAnswer: -1\/1992, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -3, -62 in ascending order.\nAnswer: -62, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*d + 109*d + 10000 = 0. Is 10 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1227098252\/45201 - -352918\/13. Let w = j + 16\/183. Is w greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 715?\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmffmffffmffmmffff. What is prob of picking 3 m and 1 f?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/80 and -76\/3.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -1 - 3. Suppose -j*i + 5 = -1. What is the second derivative of 2*o**i + 0*o**3 + o - 4*o wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 107\/6*s**6 + 0*s + s**3 - 1\/5*s**5 + 0*s**4 - 1\/2*s**2 - 191. Find the third derivative of h(w) wrt w.\nAnswer: 6420*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -645037 (base 10) in base 6?\nAnswer: -21454141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 1. Let c(m) = -5 + 4*m**2 - 6 + 18 - 2. What is c(u) - 6*p(u)?\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34622 + 34622.5. What is the second smallest value in 2\/3, 4\/5, 1.9, n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let d be j(-1). Solve d = -0*l - 2*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 17) + 27 + -25.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-350880)\/(-476) + (-1)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - (-4)\/14. Suppose 0 = -2*u - x*u + 2*f, -u - f = 0. Suppose u*w + 2*w = 4. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.11 and 1.0734.\nAnswer: 17.292474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/2)*s*(s*s**27)\/s assuming s is positive.\nAnswer: s**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.659607t in nanograms?\nAnswer: 1659607000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102372136?\nAnswer: 2, 83, 1660199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/2 (b) 4 (c) -4 (d) 12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7 + 3, -2*w + 4 = 5*q. Let j(v) be the second derivative of v**4\/12 - v**3\/6 - 19*v**2\/2 - 31*v - 47. What is j(q)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/((-6)\/(-3824)). Let l = m - -7699\/8. Calculate the common denominator of ((-187)\/462)\/(1\/(-9)) and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/((-13)\/((-39)\/6)). What is the closest to -2\/3 in i, 0.4, 0.5, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2583)\/410 + (-9)\/(-30) - (34 + -1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j**21\/j*j))\/j)\/j)**(-28))**(-10\/7) assuming j is positive.\nAnswer: j**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 336, -0.3 in increasing order.\nAnswer: -0.3, 0, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = p + 3*p + 4*d, 0 = 5*p + d + 270. Let f be 2\/(-5) + p\/(-10). Find the third derivative of 8*j**2 - 72 + 72 - f*j**3 wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391424919?\nAnswer: 1391424919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2854 is divided by 286.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttktkttttktktk. What is prob of picking 1 t and 1 k?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**9)\/a**(-18))\/(a**(-10)*a**(2\/5)))**(-30\/11) assuming a is positive.\nAnswer: a**(-1128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or -1943501.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 10:46 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 8 = 4*k, 18*k + 7 = 19*k + 3*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1003949*f - 1 + 1003948*f + 1.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 83433.02nm?\nAnswer: 0.00000008343302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p + 21. Let l be g(0). Suppose -24*a = -l*a - 3093. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9107599 is divided by 131994?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 521181 and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 60 = -5*k. Let m(o) = -o**2 + o + 11. Let i be (-1 - (-3)\/3)*-1. Calculate the smallest common multiple of m(i) and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 3*k - 1. Let x(v) = -3*v**2 + 4*v. What is -5*u(n) - 4*x(n)?\nAnswer: 2*n**2 - n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 25*t - 2. What is a(10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f\/(f\/((f\/(f\/f**11))\/f)))\/f)\/f)*f*f)\/f**10*f\/(f\/f**(-1))*f\/f**(-4\/9) assuming f is positive.\nAnswer: f**(-122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 18 = 21. Let r be 6*q\/2 - (3 - 6). Solve 0 = -2*f - r*f + 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 + o**4\/3 + 23*o**2. Let y be t(8). Solve -4*j + 8*j + 8 = y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-7)*g*((g\/(g**(1\/7)*g))\/g)\/g*g*(g**(-1\/2)*g*g)**(5\/11) assuming g is positive.\nAnswer: g**(-687\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbbqqwqdqqqbbwq. What is prob of sequence wbqb?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2597 - 2594. Which is the nearest to 0? (a) 0.042 (b) -1\/3 (c) 0.1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 4:30 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/2 + -1)*-3. Suppose 177 = 21*b + 9. Let w(r) = -5*r + 1. Let z(t) = -2*t. Calculate b*z(p) + m*w(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6097711 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.172833 centimeters to nanometers.\nAnswer: 41728330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 63.73.\nAnswer: 6.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 19. What is the highest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/891043 and -55\/184.\nAnswer: 7128344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v + 4. Let f = -11 - -18. Let x(c) = 5*c + 2. Give f*x(k) - 4*j(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*2\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = -3. Calculate the remainder when 8 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 8:53 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 246 + 186 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 1 l when three letters picked without replacement from {h: 2, i: 6, q: 1, r: 3, l: 5, u: 3}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -0.01, -4, -690.\nAnswer: -690, -4, -0.01, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 586319 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 834373 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 1382 + 1382 + 13122*f**2 - 12738*f**2 + 3*f.\nAnswer: 384*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0 + 1\/24*q**4 + 1\/3*q**3 + 3*q**2 + 0*q. Differentiate o(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - (2*sqrt(405) + 3))*1)**2.\nAnswer: 54*sqrt(5) + 414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 1, i: 2}. Give prob of sequence zio.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100001111 - 1111?\nAnswer: 110100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 189, 302, 429, 570, 725?\nAnswer: 894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {b: 3, t: 2, o: 1, w: 3, c: 3, a: 1}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674.12 + -674. Let z = -3.12 + s. Which is the biggest value? (a) 0.5 (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b = 9*b + 114 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 at least 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361641 is divided by 180793?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 44.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 388*h**2 + 142888*h + 142496 = 0.\nAnswer: -146, -1, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 5*b + 2. Let d be y(5). Let v(l) = -3*l + 4*l**2 - 2*l - 3*l**2 + 3*l. Let n(c) = 2*c**2 - 5*c. Determine d*n(a) - 5*v(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 0)*(-1 + (-28)\/(-20)). Let u = -1 - y. Let v be -1 + (-4)\/8*-34. Solve o - v = -u*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enny when four letters picked without replacement from {y: 2, n: 3, e: 7, u: 3, v: 4}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -11*i + 12*i + 6*w, 4*i - 5*w = 78 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -470*j**2 + 10*j - 221. Let y(v) = 704*v**2 - 14*v + 332. Let l(u) = 7*c(u) + 5*y(u). What is the derivative of l(z) wrt z?\nAnswer: 460*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpxp. Give prob of sequence pp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 - 348*a**3 + 2322*a**2 - 3612*a + 1635 = 0?\nAnswer: 1, 5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7352369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*v + 241*v + 56 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h + 0 + 5\/2*h**2 - 2*h**3 - 1\/2*h**4.\nAnswer: -h**2*(h - 1)*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2823, -9312, -19475, -33312, -50823, -72008?\n\"Answer: -1837*a**2 - 978*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 945.91 from 51.\nAnswer: -894.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*f + 1388*f = 108*f + 28440 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -14. Suppose -q = -3*n - 4. Suppose -4*g - 3*f + 228 = 0, -n*g - 5*f + f + 232 = 0. What is the units digit of g?\nAnswer: 4","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) 3 (d) -25 (e) 168 (f) 4 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 7:52 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -15)\/(-3*5 - 1302\/(-126))\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*c = -0*n + 11, 3*n = 4*c - 7. Suppose 5*k - n*m = 2*k + 9, -3*k - 2*m = -4. Does 7 divide (-1)\/(k*1\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.6 + 1.5. Let d = -0.2 - n. Let o = -0.1 - d. Do -2\/5 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, 0, 152, 0.3.\nAnswer: 0, 1\/4, 0.3, 5, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - -8) + -24 + (-1825)\/365.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2 + 0 + 5 + 0 + 5 - 4 + 0 + (2 - 2 + 1)*(4 - 1 - 1) + 2 - 4 + 0 + 4 - 4 + 1)*(-3 - 2*d + 3)*(-1 + 2 + 0)*(8 - 8 + 31*d**2)*(-3*d + d + 6*d).\nAnswer: -1488*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 2\/7 (c) 0.36 (d) -0.4 (e) -20.7 (f) 5\/4 (g) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 10) to base 4\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 2:41 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3 + 3. Suppose 7 + o = -2*x. Let q = 4 + 1. Which is the closest to -0.1? (a) -4 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let n be h(-6). Suppose 3*i - 4*m - 49 = 0, -3*m = -3*i + 8*i - 43. Let s = i + n. Solve 0*p - 10 = s*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29\/5, -37 in ascending order.\nAnswer: -37, -29\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 134045112 (base 7) to base 2\nAnswer: 100001010000010001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101519761 to the power of 1\/2, to the nearest integer?\nAnswer: 10076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5337974.999999476 - 5337974.9. Let s = -0.1 + q. Round s to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3 - -2)*(16 - (-1133)\/(-66))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -24. Suppose -2*f + 7 - z = 0. Solve 2*q + 2 = 4*k, 4*q - k = -f*k - 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(2057) + 1*sqrt(2057) + -2) - ((sqrt(2057) - (-4*(sqrt(2057) + 1 + sqrt(2057)) + sqrt(2057))) + 4*-1*sqrt(2057))) + 4)*-4)**2.\nAnswer: -4224*sqrt(17) + 132224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2235 by -149.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -4*v**2 + 178220440*v - 1985157827112100 = 0.\nAnswer: 22277555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)\/((4 - -1)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*x + 15, 3*x - 5 = 5*s - 2*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -181*b**3 + 7*b**2 - 6*b - 12. Let l(m) = -361*m**3 + 13*m**2 - 11*m - 22. Determine -6*l(s) + 11*u(s).\nAnswer: 175*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/(-10) + 0 + 0. What is the second smallest value in y, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 11*b - 13. Let d be r(9). Let t(o) be the third derivative of o**6\/120 - o**5\/10 + o**4\/8 + 2*o**2. Determine t(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480591709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 134, 1 in descending order.\nAnswer: 134, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1292, 1835, 2826, 4265, 6152?\n\"Answer: 224*x**2 - 129*x + 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137065.\nAnswer: 5, 79, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 3 + 1 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13808555 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -38 + 6. Solve 3*f - o = -4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 - -0.09. Let h = 9.948 + -9.9. Let y = -0.252 - h. What is the second biggest value in r, y, 0.4, -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 7*s - s**3 + 8 + 1815*s**4 - 1816*s**4 - 12*s to the form q*s + h*s**3 + y*s**4 + p*s**2 + w and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1361 + -1351. Solve -2*v + 0*v - 3*c = 8, 3*v + y = -4*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**6\/6 + 11*n**4 + 48*n**3 + 64*n**2 - 1873. Factor y(a).\nAnswer: -a*(a - 8)*(a + 2)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 331 and 0.6.\nAnswer: 331.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 24*b**2 + 30*b + 571. Let f be n(-11). Let o(h) be the third derivative of h**6\/24 - h**5\/60 + h**4\/8 + h**3\/2 - 3*h**2. Give o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -2 + -173)*-118*(-6)\/(-24).\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 120680 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -50*u**2 - 6*u - 7. Let l(f) = -f**2 - f - 1. Determine -6*l(r) + v(r).\nAnswer: -44*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (6246\/45)\/((-4)\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1821297 to the nearest 10000.\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.3231s in microseconds?\nAnswer: 257323100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 17 - 3 = 0. Suppose x + 363 = n*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11951161\/64666980 - 18\/105665. What is the common denominator of p and -113\/24?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m + 5*m + 7*m - 4*m + 27. List the prime factors of c(11).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4243045, 8486216, 12729387, 16972558, 21215729?\n\"Answer: 4243171*g - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21618768 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14436031\/289686 + 2\/48281. Let m = w + 50. What is the smallest value in -4, 2\/3, 2\/9, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46848.47km to centimeters.\nAnswer: 4684847000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 11650\/25921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4003350 divided by -13\nAnswer: 307950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020331 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 2421 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1052*l**3 - 111*l**2 + 100*l + 14. Give c(1).\nAnswer: 1055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 153, 0.03 in ascending order.\nAnswer: -27, 0.03, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 34*l + 234 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -378449 less than -378448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3035 - 116*i**2 - 3035 - 25*i**2.\nAnswer: -141*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 123174, -1 in descending order.\nAnswer: 123174, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 205*n. Let b be f(6). Suppose -5*y + b = -0*y. Suppose 0 = -3*r + 3*w + y, 0 = -3*r - 4*w + w + 276. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 19. Let t be y(-12). Let w be t*(1 - (-1)\/(-7)). Let u be 1\/(-2)*w\/4*-4. Let c(a) = 7*a - 1. Give c(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 6*c - c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 272*t**3 - 1740*t**2 + 2664*t.\nAnswer: 4*t*(t - 3)**2*(t + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102791716 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 43, -0.3, 0, 25 in decreasing order.\nAnswer: 43, 25, 0.2, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 523286535*c*n**2 - 3*c*n + 4*c + 2*n**2 - 48241*n + 21 wrt n?\nAnswer: 1046573070*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3494670.\nAnswer: 2, 3, 5, 19, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 4. Let l = 5 + x. Let u(z) = 586*z - 295*z - 294*z. Give u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1720496 and 879.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4622037 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -5\/11293, 1.81, 5?\nAnswer: -5\/11293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/6 + c**2\/2 - 2*c - 1. Let z(h) be the first derivative of g(h). Differentiate z(y) wrt y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (370\/3)\/((195\/(-1053))\/((-13)\/117))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 - (3 + (-5 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q + 5 - 8*q + 5*q. Let f(m) = 4*m + 4. Give -5*d(c) + 6*f(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 605\nAnswer: -10890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/(-6)*(-66)\/(-9). Suppose -5 = -a - 2*z, 0*a + o = 5*a - 3*z. Calculate the highest common factor of 143 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1167*p**2 - 5867*p - 13. Give z(-5).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1179 divided by -7.\nAnswer: -1179\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**25)**(-1\/3)*(k*k*k**(-1\/12)\/k)**(-2\/21) assuming k is positive.\nAnswer: k**(997\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33563 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -57.1, 0.4, 0.2134 in descending order.\nAnswer: 5, 0.4, 0.2134, -3, -57.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 6*h**2 - 4*h + 3. Let d be 84\/18 + 4\/(-6). Let u(g) = -g - 1. Let l be u(d). Let j be n(l). Is -1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 1021*m + 17593. Determine g(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*v*x**2 + 6*v*x - 2*v + x**2 - 25 wrt x.\nAnswer: 10*v*x + 6*v + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, 1, 361.\nAnswer: 1, 229, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 607871*r + 42546061. What is i(-70)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84598 = 41*h - 84762 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*x + 8*x + 28075 - 28315 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 2*q + 16, -5*y - q + 6*q = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 135105 - 6124847.04\nAnswer: -5989742.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 13)*630\/(-4). Let q be 2\/(-7) + (-748)\/i. Let d = 47\/180 - q. Which is the smallest value? (a) -4 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(220)*2 + sqrt(220)) + sqrt(220) - sqrt(220) - sqrt(220)) + sqrt(220))\/((sqrt(99) - sqrt(99)*2)\/sqrt(9)) + -2)**2.\nAnswer: 24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4988, -9974, -14960, -19946, -24932?\n\"Answer: -4986*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 10. Let j = -49.1 + v. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -3\/8, 0.3, -1\/5, -19, -756.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + 7 + 30*(-7)\/21. Suppose -b = 4*b + 5*a, 3*a - 6 = 0. Let r be -1 + (0 - 1)*b. Solve f - j + r = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867003?\nAnswer: 3, 289001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 36*z - 5. Let v be 12\/((-3)\/(-3) + 1). Let i be g(v). Suppose -u + 5*s = -87, i = 3*u + 4*s - 12. Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712 and 58639519.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019685171 rounded to 5 decimal places?\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/25 + (44\/20 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22200, 22201, 22202?\nAnswer: 22203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose -2*r = -3*r + 2*k + 12, g*k + 13 = -r. Suppose 5*v - 14 = -2*h, 4*h - 14 = 5*v - 8*v. Solve -r*x + 3*d - 11 = -h*d, x = d - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10107\/6)\/(9\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8397 a factor of 1086462639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 667680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703685455.\nAnswer: 5, 11, 12794281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-245)\/(-77) - (-8)\/(-44). Let l(w) = w - 4. What is l(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.48 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5 - 94*u**4 + 94*u**4 - u**5.\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**2 - 29*o + 124. Determine r(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 11. Let y be v(6). Let i(x) = -3*x + 5. Let h be i(y). Let z = h + 24. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 1:01 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*x = -238*x - 510 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*p + 41*p - 98*p - 3165*p**2 as k*p + h + c*p**2 and give c.\nAnswer: -3165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -23*f**5\/60 - 10*f**2. Let o(z) = -z. Give d(o(n)).\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 + 18488\/72 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -18, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:48 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - y - 1 = 0, -y - 418 + 87 = -168*t - 167 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 169.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7364*z**3 - 7366*z**3 - 10*z - 379*z.\nAnswer: -2*z**3 - 389*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*w**3 + 3*w**3 - 15*w**3 + 43*w**3 - 4*w**3.\nAnswer: 53*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 61421623.\nAnswer: -3\/61421623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (20 - 13) + 19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2660 and 193165?\nAnswer: 14680540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42351192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 + 5662*y**4 + 425164*y**3 + 7139026*y**2 - 11463200*y + 3893344 = 0.\nAnswer: -1337, -52, -28, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114465*t = -115480*t + 22330 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1402 - -1412. Let b be (q\/6)\/(559\/(-78) - -8). Suppose 8\/5*a + 2\/5*a**b - 2 = 0. What is a?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -381.3 - -408. What is z rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -16. Suppose -x + j*x - 18 = 0. Calculate the least common multiple of 1 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-9)*q)\/q**(-1\/3))\/((q\/q**(3\/4))\/(q*q*q**(1\/21))))**(-48) assuming q is positive.\nAnswer: q**(1972\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 46040989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30572027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 119*z**2 - 13*z + 8. Let w be a(1). Suppose -4*n - 978 = -7*n. Suppose -n = -4*f + w. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6\/h**8)**11*(h**(-1\/4))**(-17\/2)\/(h**0)**(11\/2) assuming h is positive.\nAnswer: h**(-159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 7 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 20 = -5*i, 2*i - 5*o + 10 = -9*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10*-20*2\/5. Suppose -r*s = -5*z - 227, 0*s - 3*s + 168 = -3*z. What are the prime factors of s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -2\/5 (b) 1 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 65*s**3 - 32*s**3 + 2*s - 32*s**3 to f*s + a + x*s**2 + q*s**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 1458596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*d + 3, s + 5 = -d + 6*d. Suppose s = -4*g + 16. Suppose -384 - 172 = -g*l + 2*b, -4*b - 701 = -5*l. What are the prime factors of l?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 1040\/(-30)*(-18)\/4. What is the common denominator of 5 + (-138)\/f*-2 and -51\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:18 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 3 + 3)*(0 - 1 - 1)*(10 + 7 + 4) + (z - 2*z + 0*z)*(4 - 4 + z).\nAnswer: 83*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6872 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.4. Let c = 0.3 - g. Let y = -0.1 - c. Which is bigger: y or -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 1 + 4639*r**3 - 4*r**2.\nAnswer: 4639*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 3*q**3 + 2*q**3)*(8 - 6 - 8).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*q + 27*q + 31*q = 17*i + 8, -5*q - 10 = 3*i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1580, 6410, 14450, 25700, 40160, 57830, 78710?\n\"Answer: 1605*d**2 + 15*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -3*u. Suppose u = w - d - 3*d - 14, -3 = d. Factor -4*n**2 + 4*n**2 - 2*n**3 + w*n.\nAnswer: -2*n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, w: 1, i: 1, y: 1, m: 1}. What is prob of sequence pwi?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*h + 4*p - 62, 2*p = 4*h - 94. Solve 14 = -5*u - 2*d, -27*d - 2 = -u - h*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**6\/360 + c**5\/40 - c**4\/6 + c**3 + 2. Let v(t) be the third derivative of j(t). Calculate v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*k = 3239*k - 156549 - 130315 + 68044 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (246\/(-24))\/(1\/4). Let f = -20 - w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1820, -3660, -5500, -7340, -9180, -11020?\nAnswer: -12860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9999\/5 + -1989. Let y = -173\/10 + d. Let g(n) = -n**3 - 6*n**2 - 3*n + 3. Let p be g(-5). Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.01 (c) 4 (d) -4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3132 + 60?\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 908*b**5*x - 6*b**5 + 2*b**2*x - 275*b*x wrt b?\nAnswer: 54480*b**2*x - 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvdvvvvvvdvvvvdv?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/540*(-55 + 17603\/319)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380000 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 16, 20, 24, 28, 32?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**4 + j**3 - 361*j**2 - 231*j + 1072356 wrt j?\nAnswer: 4*j**3 + 3*j**2 - 722*j - 231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -12*k + 11*k. Suppose 3*i + 40 + 2 = -l, -21 = 2*i + k*l. Let t = 3 - i. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*s - 67 - 91 = 438 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**2 - 27*x**2 + x + 50*x**2.\nAnswer: -3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.1791km in millimeters?\nAnswer: 268179100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 8*u**2 - 4*u - 4. What is the lowest common multiple of 12 and t(-8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1554*t - 106*t = 164340 for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 minutes before 7:11 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 974787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 744.01 - 749. Let w = 0.01 - q. Let k = 27.8 - 28. Sort w, 1, k.\nAnswer: k, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 39 = -4*y - 51, 9*v - 9663 = -5*y - 9166 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -7*y + 110. Let i = y + -14. What is the highest common divisor of i and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 164*j**3 + 1836*j**2 - 260*j - 67600.\nAnswer: 4*(j - 5)*(j + 13)**2*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 = 116*y - 2227 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 7) in base 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 6*s - 31. Determine h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 181*j**2 - 259*j**2 + 12 + 22*j.\nAnswer: -440*j**2 + 22*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 + 9*j + 2. Let i be k(-6). Suppose z - 6 = a, z - 11 = -4*a + i. Calculate the remainder when 43 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23544, 23222, 22900, 22578, 22256?\n\"Answer: -322*g + 23866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 227*v**2 + 1180*v + 865. What is z(108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 62801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 divided by 4?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -123061 (base 7) in base 5?\nAnswer: -1211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218445605 by -89.\nAnswer: -2454445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517*v + 947*v - 466*v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70824 - 70807. Calculate the remainder when 2\/(-5) - 422\/(-5) is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - -4.75. Which is the second smallest value? (a) 3\/2 (b) -3\/14 (c) 3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*p + 0*x + 88 = 81*p + 2*x, 0 = -4*p + 2*x - 3*x + 53 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 30 = -4*u - 5*x, -3*x = -2*u + 14. Suppose 5*o = 7*t - 2*t + 50, 0 = -4*o - u*t + 64. Calculate the greatest common factor of 52 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207376289*k**4 - 212144183*k**2 wrt k?\nAnswer: -4977030936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 320, 1096, 2610, 5108, 8836?\nAnswer: 14040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 4.853\nAnswer: -4.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 8 + 32*u**3 - 9)*((7 + 14 + 0)*(-6 + 3 + 0) + (-2 + 2 - 1)*(1 - 1 + 1)).\nAnswer: -2048*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 61 + -79?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98.13 - 0.13. Let u = 98.000059 - t. What is u rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 334*x + 338*x + 338*x - 1007*x. Let m(t) = 562*t**2 + t. Determine m(a(o)).\nAnswer: 5058*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from eeeii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7028657926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2.05206.\nAnswer: -2.94794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010111 - -100?\nAnswer: 1111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4806 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 6*h**2 - h + 1. Suppose 5*o - 742 - 8 = 0. Suppose 8*i - o = -2*i. What is the remainder when x(4) is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1932 - -1902) + (3 - (0 + (2 - 1))).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -35*u - 1 + 2 + 34*u. Let r(j) = 2*j + 2. Let t(o) = 2*k(o) - r(o). Let q(n) = -14*n**2. Determine q(t(i)).\nAnswer: -224*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100558859\/2 at least as big as 50279430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -22*-1*(-1)\/(-2). Let f(k) = 5*k + 3. Is 13 a factor of f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-20) + 474\/10. Which is greater: 46 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.43 - 19. Let z = 10.33 - x. Round z to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1867619637 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-5)*14\/((-3724)\/35). Which is smaller: 2\/19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2839418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x + 7. What is the units digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 28 = -32 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6880\/258)\/((-25)\/30)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.07 - -60.57. Let l = n - 60. Which is the second smallest value? (a) 1\/3 (b) -0.6 (c) l (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1063803, -1063808, -1063809, -1063806?\nAnswer: -1063799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-63)*(-1 + 0). Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6017, 24148, 54365, 96668?\nAnswer: 151057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + -1 + 1 - 1721980\/(-1666480) and -121\/10.\nAnswer: 11260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56493, 112989, 169485, 225981, 282477?\nAnswer: 338973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -399\/2*o**2 + 20*o**3 + 200 - 20*o - 1\/2*o**4.\nAnswer: -(o - 20)**2*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-445)\/(-140) + -4 - 44\/(-77)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 2 - (6 + -7). Let w(i) = -2*i - 9. Let n(t) = -2*t - 10. Let k(p) = z*w(p) - 2*n(p). Calculate k(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = 4*i - 5*g, -2*i + g = -12. Suppose 10*y - 14*y + 612 = 4*z, -4*y + 2*z = -636. Let a = y - 152. Solve 3*h + 5 = -a*w - 8, -w + 15 = i*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 70*t**2 - 53*t - 38. Calculate the remainder when n(-70) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/3 - 116*n**3\/3 + 1726*n**2\/3 - 7996*n\/3 + 2128 = 0 for n.\nAnswer: 1, 7, 12, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2. Let n(m) = m**2 + 6*m + 7. Let s be n(-5). Let c(k) = -9*k**2 - 3*k**s + 13*k**2. Determine c(v(i)).\nAnswer: 49*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 622*p + 7093 + 14939 = 0 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 621*n**3 - 45*n**2 - n?\nAnswer: 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 14*t**2. Let x(h) = 32*h**2 + 98*h + 6. Let j be x(-3). Let y(g) be the first derivative of -2\/3*g**3 + j*g**2 + 0*g - 12. Calculate y(q(n)).\nAnswer: -392*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(48) - sqrt(153)\/(sqrt(441) + sqrt(9)))**2.\nAnswer: 17\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q**3 - 56465*q**2 - 26573840*q - 4427405 = 0. Calculate q.\nAnswer: -941, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01215 rounded to four decimal places?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6243212*c**3 - 15714618 wrt c.\nAnswer: -18729636*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-27)*b**0\/b**(-1)*((b\/b**(-1))**(15\/7))**(-27) assuming b is positive.\nAnswer: b**(-992\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 21\/2, -2\/13, -2\/39, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-20))\/(459\/(-17595)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*k + 360 = -245*k + 2*a, -450 = -5*k + 3*a. Solve -w - 2 = g, 0 = 89*g - k*g + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let f be v(-5). Let s(q) = q**3 - 8*q**2 + 6*q + 7. Let x be s(7). Let j be (-8)\/(-14) - 760\/(-532). Solve -j*c + x = -f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**5 - 730*a**4 + 35500*a**3 - 575000*a**2.\nAnswer: 5*a**2*(a - 50)**2*(a - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-16)*(-10)\/(-3). Solve 5*o = -s + 15, 0 = 4*o - 2*o - t*s - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2110 + 2106 = 0. Let c = -12\/5 + 49\/20. Let h = -33\/140 - c. What is the nearest to h in 0.4, o, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 38*n + 2331. Give m(-62).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/7 (b) -1\/10 (c) 3\/17 (d) -4\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:03 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k + 0)*(-k + 3 - 3)*(-2*k + 0*k + 3*k) + k**3 + 2*k**3 - 4*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -6*c - 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1482310764 and 8.\nAnswer: 2964621528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41982867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*g + 5 + 1, 4*z + 2 = 3*g. Calculate the least common multiple of (-2)\/(z - 12\/9) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 57\/4*d - 9\/8*d**2 + 3\/8*d**4 - 9 - 9\/2*d**3 = 0.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34056, 34057, 34058, 34059, 34060?\nAnswer: 34061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15775439.87 rounded to the nearest 10000?\nAnswer: -15780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-2 - (-3 - -5))*(-36)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 7 + 9 = 2*b, -3*b = 0. Let y = 88 - 85. Suppose o + v = y*o - p, 0 = -p + 4. 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: Let l be ((-20)\/3)\/(2\/(-6)). Suppose 0 = -3*j - 3, 13*j - 14 = -2*v + 11*j. What is the highest common factor of l and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5036 or -5640?\nAnswer: -5036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from xnilfwi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 1 = 12*v, 450*i = 4*v - 455*i + 900*i - 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -39.3. What is the third biggest value in 2\/5, 5, h, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1439542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 26*q**2 + q. Let x be t(1). Let r(y) = 13*y + 822. Let c be r(-66). Let i be ((-51)\/4)\/(x\/c). What is the greatest common divisor of 68 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -365.21 + 365.49919. What is y rounded to 3 decimal places?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/9*(-4 + (4 - 3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 1 - 13 = 4*b, -3 = -5*v - b. Let l be (-2)\/(-6) - (-320)\/(-12). Let d = l + 27. Is d at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 5, c: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -4*i**3\/3 + 20*i**2 - 100*i + 4. Solve z(j) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -3*x**5\/25 + 6*x**4\/5 - 17*x**3\/5 + 3*x**2 - 5. Find f such that l(f) = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n**3 - 2*n**2 - 4*n - 3. What is w(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -89, -104?\n\"Answer: -15*a - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -800651385\/328 - -2441022. Let j = d - 74\/41. Calculate the common denominator of -3 + 1 + 188\/56 and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -186.94. Let o = 160.5 - 160. Put -6\/11, o, p, -1\/12 in decreasing order.\nAnswer: o, p, -1\/12, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.19704.\nAnswer: 0.78816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2334528.0213 - -2334833. Let c = -972 + 667. Let i = w + c. Round i to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + 11*j**2 - 27*j + 490. Let r(z) = z**3 - 4*z**2 + 9*z - 164. What is 4*f(o) + 11*r(o)?\nAnswer: -o**3 - 9*o + 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241841.19 seconds to minutes.\nAnswer: 4030.6865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322580?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (-4 + 4) - (-71 - 47437)?\nAnswer: 7, 11, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 18046 = 6*d. Suppose 5*b = -2331 + d. Suppose j - 625 = -2*v, -4*j = j + 4*v - b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76\/190 - (-4)\/(-10). Suppose 4*c + 5*p - 3685 = f, 4550 = -15*c + 20*c - 5*p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by -2\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q + 2. Let b(y) = 2260*y**3 + 30*y - 3370. Let d(i) = -b(i) + 30*s(i). Differentiate d(u) with respect to u.\nAnswer: -6690*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3423 divide 59699946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576023 is divided by 575.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7030228 to the power of 1\/2, to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 2*p = 456, 5*p = 5*f - 2*f + 89 + 18 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*w + 7. Suppose 0 = -5*h - 4*d - w, 2*d = h - 0*d - 8. Suppose h*c + 4*o = 42, 2*c + 3*o - 42 + 2 = 0. What are the prime factors of c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t + 10. What is f(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*v - 498*v - 507*v)*(4 - 5 - 3).\nAnswer: 3252*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:56 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-52)\/2 + 0 + -4. Let u = i - -58. Let d be (-69)\/(-21) + (-8)\/u. Calculate the greatest common divisor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 15 = 3. Let x be ((-272)\/(-6))\/((-18)\/(-27)). Let j = 74 - x. Put -3, c, j in ascending order.\nAnswer: -3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**2\/2 - 230. Let o(u) be the second derivative of 0 + 0*u**2 + 0*u**3 + u - 11\/12*u**4. Calculate k(o(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -68502.\nAnswer: 101\/68502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q + 15. Suppose -11 = -5*l - 46. List the prime factors of r(l).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) 844\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 4. Let r be j(3). Let t = -30.6 + 28. Let p = t - 1.4. Is r equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3 + 3*u**3 + 9*u**2 - 15*u**2 + 3*u**3 - u = 0.\nAnswer: -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-658)\/(-84)))\/((-2)\/((-44)\/33)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t**2 - t - 1. Let w be r(-1). Suppose 0 = -0*f + f - w. What is the remainder when 22 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 37.9. Let w = -149\/2 - -77. What is the closest to j in w, -0.5, -1.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 8*t + 29. Let w be y(9). Solve h + h - 10 = 0, h - w = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 464.656 - 0.656. Let p = o - 463.999999424. Round p to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 6:19 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 50*y + 400. What is the hundreds digit of s(48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -13. Let m(x) = -4*x - t*x - 8 + 5*x + 1. What are the prime factors of m(-7)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 8152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 2*o + 33, -408*o + 413*o + 6*q = -63 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 6, h: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12870 > 947\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(1584))*-2)*2.\nAnswer: -48*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -91\/6 in -73, -116, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 0*x + x)*(-263 - 112 - 541) to the form k + w*x and give w.\nAnswer: -1832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 13576927 + 7*s + 13576927.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = 0, -11*v - 4 = -14*v + 5*l. Let q(s) = 5*s + 3. Let k be q(-2). Sort k, -5, v in descending order.\nAnswer: v, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2634322*f - 1423365*f + 875253*f.\nAnswer: -3182434*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from {c: 2, i: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(85)*-1 - sqrt(85))\/(sqrt(5) - (sqrt(180) - -2*sqrt(180) - sqrt(180))).\nAnswer: -4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(882) + (sqrt(882) - (sqrt(882) + 1*sqrt(882))) - sqrt(882) - sqrt(882)))\/(sqrt(90)\/(1*sqrt(10)) + sqrt(441)*-2).\nAnswer: 42*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - 30. Let j(i) = -g*i**2 - 5*i + 5*i + 0*i. Let b(q) = -2*q**2. Calculate j(b(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 3*g + 32. Let o(b) = -b**2 - 4*b - 36. Let h(n) = 6*o(n) + 7*r(n). Let v = -8 - -15. Give h(v).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1085 + -1081. Let x(c) = -4 - 2*c + 4 + 7. Let v(s) = -4*s + 13. Give w*v(d) - 7*x(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 287137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/3 (b) -0.3 (c) -0.7 (d) 2\/3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-15) - (-14)\/(-6). Let i be a*(-2 - 1 - -2). Let c be (-6)\/((-1)\/6 - i\/6). What is the greatest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*t + 2*t - 51, t + 4*c + 17 = 0. Let u be 2 + 49 - (t + 12). Calculate the highest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295 is divided by 1065.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + 5. Suppose 3*n + 22 = 5*x, -3*n = -2*x - 4*n. Solve y + x*l = 7*l - t, 16 = 2*y + 5*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*o - 64*o = 60*o + 35 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-5) - 3\/5. Suppose 0 = 13*w - 54*w. Which is the smallest value? (a) w (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 9*i**2 - 5*i - 9. Let v be (1 - 2)*(-8)\/(-4). Let y(l) = -2*l**2 - l - 2. Give v*j(h) + 9*y(h).\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 + 315*d**3 + 2070*d**2 + 160*d - 11040 = 0?\nAnswer: -4, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 1 + -1 + (-3 - -2). Calculate the remainder when (21\/(-12))\/(-7) + (-99)\/x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 4 (c) 2 (d) 49 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 17 = 3*w, -2*s - 7 = 3*w + 6. Find the common denominator of -45\/7 and 168\/(-27) - w\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9532 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*k - 366*k + 19714 - 2794 = 0. Solve 3*u = 9*u + k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 6)\/(3*(-6)\/14067) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**19*u**5\/u assuming u is positive.\nAnswer: u**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1 + 2*-114). Suppose -4*t = -3*n - 279, -3*t - 3*n + u = n. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 3, 52, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmmjmmj. Give prob of picking 4 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119978.\nAnswer: 2, 239, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*g - 22 = -375*g, 0 = -2*j + 2*g - 38 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17820258047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(90)\/(4*sqrt(9))) + 1 + (sqrt(40)\/sqrt(5))**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -415 + 875. Let c(g) = 3*g**2 + 281*g + 2307. What is the remainder when q is divided by c(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25255.7 and -112.\nAnswer: 25143.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 10 = -5*b, -83*b = -78*b - q - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*9\/12*754\/78. Are b and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 25 = 0, -6*y - 11 = -4*y + 5*a. Let u(m) = -14 + 8*m**2 - 4 + 4 - 7*m. Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17887 and 6510504851.\nAnswer: 6510522738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 362\/5*c - 32761\/5 - 1\/5*c**2 = 0?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-57)*17670\/(-3720).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 1. Suppose -4*f + 0*c = -c + 37, -4*f = 2*c + 46. Let y be 6\/f*(2 - 7). Calculate t(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = g - 475 + 430 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**6\/40 + 6*w**2 + 9*w. Let d(n) = 39*n**3. What is 2*d(v) - 27*m(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 - 3064*u**2\/9 - 176288*u\/9 - 2489984\/9.\nAnswer: 2*(u - 1588)*(u + 28)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -14 + 12 + 3*p + 3*p - 7*p. Give d(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*y, -6*u + 29 - 1 = -3*u - 4*y for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.4. Let d = 0.06 + m. Let j = -0.31 + d. Round j to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, 2\/13, 4, -3\/4 in ascending order.\nAnswer: -1, -3\/4, 2\/13, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/(-3)*(-26 - -4). Let q = 14 + y. Suppose -9*a + 1 = -8*a. Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**8\/3528 + 2*o**7\/245 - 2*o**6\/21 + 184*o**5\/315 - 44*o**4\/21 + 32*o**3\/7 + 21*o**2. Factor h(i).\nAnswer: -2*(i - 6)**2*(i - 2)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x**2 + x - 2. Let o be g(2). Suppose -2*u + 5 = 5*n, 0*n - 23 = -n + o*u. Put n, -1, -2 in decreasing order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 0*w**2 - 2*w**2 - 8*w**2.\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) - (sqrt(19) + -3 + sqrt(19))) + 2 + (-1*(-3*sqrt(684) + sqrt(684)) - sqrt(684) - sqrt(684)).\nAnswer: -6*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**3\/3 + 11*x**2 + 406*x\/3 - 5096 = 0?\nAnswer: -21, 26, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 105 = 11*i - 23*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**3 - 18*o**2 + 14*o - 13. Let t be 19*2\/(-6) + (-2)\/(-6). What is the tens digit of g(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6951582 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3401 (b) -2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 0 + 14\/3*a**3 - 8\/5*a**2 - 81\/100*a**5 - 11*a - 24\/5*a**4. Factor x(p).\nAnswer: -(p + 4)*(9*p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 379 = 637. What is the remainder when 472 is divided by f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 336*q**2 + 7*q + 7. What is v(-1)?\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19523 is divided by 697.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*j = 9, 2*h - j = -5*j - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15123.1 * 7\nAnswer: -105861.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 + -6.2. What is the closest to -0.01 in o, 2\/7, 1, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 1, v: 2, o: 1}. What is prob of sequence yvvy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000101110111 (base 2) in base 14?\nAnswer: 319d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + ae?\nAnswer: ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 132124?\nAnswer: 132120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -447, 0.0362, 1\/42?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -933, -4562, -10833, -19746, -31301, -45498?\n\"Answer: -1321*r**2 + 334*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(2\/(-84)). Let s(c) = -13*c - 44. Let y be ((-20)\/3)\/(-4) + (-1012)\/276. Let m be s(y). Is m at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153621 is divided by 3198.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -18, 11, 52, 105, 170?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + t**2 - t**2 - t**2 - t**2 + 124.\nAnswer: t**2 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102328502 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.92 rounded to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -2 - 0 - 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12939898, -12939899, -12939900?\n\"Answer: -o - 12939897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*d**2 - 3*d**4 + d**6 - 4104 + 4104 wrt d?\nAnswer: 120*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j + 42. Let m be s(-7). Let v(r) = r**2 - 3*r - 5. Let f be v(m). What is the biggest value in 0.4, -1\/30, f, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2123 - 2121. Let a = 187 + -133. Suppose 56 = v*y - a. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434324, 869073, 1303824, 1738577, 2173332, 2608089?\nAnswer: 3042848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let p(l) = l**3 + 12*l**2 - 7*l + 75. Let h be p(-13). Let x(c) = -3*c. Give h*x(t) - 8*a(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let y be (105\/42)\/((-1)\/12*5). Put 5, k, y in decreasing order.\nAnswer: 5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d. Let n be y(-1). Let b be (3\/n)\/(1\/4). Suppose -x + 9 = b*f + 3*f, -4*f + 3*x - 8 = 0. Solve -3*q - 2*r = -7, 7 - f = 4*q + 2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -30*c**3 - 3*c**2 + 18*c + 5. Let b(v) = -32*v**3 - 4*v**2 + 25*v + 7. Give -3*b(r) + 4*p(r).\nAnswer: -24*r**3 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (3*sqrt(133)*-2 - sqrt(133)) - sqrt(133))\/(((2*sqrt(7) - sqrt(7)) + sqrt(7))*-1).\nAnswer: 7*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4264 - -4264.00223. Round z to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021161 rounded to four decimal places?\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let b be (-8)\/10 - 4\/(-10). Is b smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -725, -2683, -5799, -10073?\nAnswer: -15505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 1, q: 1, y: 1}. What is prob of picking 1 r and 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223988379 to the nearest integer?\nAnswer: 14966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -496350, -496348, -496346?\n\"Answer: 2*x - 496352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 8. Suppose 3*z + 2*h = 11, 5*z - 18*h - 13 = -16*h. Suppose -z*m = -a + 3. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**5 + 138000*l**4 + 275952*l**3 - 1103936*l**2 = 0.\nAnswer: -34498, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 884 + -514. Suppose -z = -4*n - 366. Which is smaller: 3\/82 or n?\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 0*b + 0 - 2*b**2 - b**3 - 1\/6*b**4. Is n(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/2511 and -22\/3.\nAnswer: 2511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 133 - -562c28?\nAnswer: 56305b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92.067 - 92. Let h = t - 0.0669919. Round h to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150635 to five dps.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - -3 - -2 - -3. Suppose -5*j + 1 = 2*a - 6, -5*a = -p*j + 29. Which is smaller: -5 or a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/(i**(-3)*i))\/(i\/(i*i**1\/i))**35)**(2\/49) assuming i is positive.\nAnswer: i**(8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -374 + 355. Let i(l) = -1352636*l - 44. Let q(u) = -2705273*u - 87. Let t(b) = 5*i(b) - 2*q(b). Let w be t(r). Round w to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87034 + 87034 + 8*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -513473 - -900279. Let y = t - 386805.9100012. Let l = y + -0.09. What is l rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21944, -87785, -197512, -351125, -548624?\n\"Answer: -21943*k**2 - 12*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 79.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*r + 3 = -120 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-3 - -2))\/(5 + -6). Let 105 + s**g + 120 - 19*s - 11*s = 0. Calculate s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**3 + 421*a**2 + 2181*a - 406. Calculate u(75).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 57\/5 of a millennium?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 133200032?\nAnswer: 133200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 211d5?\nAnswer: 211e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/9 - 2797864*s\/3 + 978505370312.\nAnswer: 2*(s - 2098398)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 8*s**2 - 26*s - 31. Let f be j(-6). Solve f*r = 48*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 15*i = 3*g - 4, -g = -5*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2244 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m - 6. Let q be i(-6). Suppose 45 = -q*z + 5*z. Calculate the highest common divisor of 81 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(13320\/37))\/((-171)\/(-432))\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55109*y - 142113?\nAnswer: -55109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 40*d - 304. What is the hundreds digit of m(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o - 7. Let x be r(8). Suppose -2913 = -4*i - x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 6*p + 48. Calculate r(14).\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(2 - -2)\/(-2). Let p(u) = u + 3. Let s be p(-3). Solve v - 3*v + y = s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158370540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39302.\nAnswer: 2, 43, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + z)*(-2*z**3 - 3*z**3 + 3*z**3) - 3*z**4 + 3 - 3 + (0*z**2 + 0*z**2 - 6*z**2)*(4 - 4 + 2*z**2).\nAnswer: -11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 3 - 0*(-2)\/(-2). Let h(w) = d*w + 6 + 6*w**3 - 8*w + w**2 + 4*w - 5*w. What is the hundreds digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 24 = -0*m. Suppose m - 60 = 4*a. Let n = a + 23. Solve -7*v - n = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1162\/11 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102) + (sqrt(102) - -2*sqrt(102)) - sqrt(102))*-1 - 2*2*sqrt(102))\/((sqrt(150) - -1*sqrt(150))*2)*6.\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1619, -3328, -5141, -7112, -9295, -11744, -14513?\nAnswer: -17656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1153*o + 6982. Give x(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:45 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 25 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-6 + v + 6) + (-3 - 2 + 4)*(3*v - v + 0*v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.832298 and -0.4?\nAnswer: -0.7329192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-852)\/(-355)*(-4720)\/(-177).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 + 0 - (14 - 14 - -4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 263, 269, 277, 287, 299, 313?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15*((-12)\/(-24) - (-1)\/2). Suppose 11*n = x*n - 4012. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 972912*f**2*q**3 + 2076411*q**3 wrt f.\nAnswer: 1945824*f*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**6\/1260 + k**5\/420 + 2*k**3\/3 - 2. Let c(v) be the third derivative of x(v). Factor c(g).\nAnswer: 2*g*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3064 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 9. Let b = -11 + j. Suppose -9 = 2*l - b*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3\/670 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - 13374053008?\nAnswer: -13374052919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c - 2. Let b(u) = u**2 - 4*u + 1. Suppose -3*j - 5*p - 13 = 0, 3*j - 32 = 5*p - p. What is j*b(q) + 3*y(q)?\nAnswer: q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 68868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/6 - (80\/360 + (-2)\/(-18)). Solve 2*i + 3*g + 9 = -6, 4*i + t*g = -18 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Suppose 5*w + 4*c - c - 190 = 0, -5*w + 185 = 2*c. Let i be 1 - (0 + (-5)\/(w\/(-4))). Sort u, 0.5, i in decreasing order.\nAnswer: 0.5, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*k - 4668 = 0, 0 = -2*p + 4*k + 1786 + 530. Suppose 6*r + 288 = p. List the prime factors of r.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 21*u + 192 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 16. Let z(r) be the first derivative of -5*r**3\/3 + 5*r**2\/2 + r - 564. Let w(o) = 14*o**2 - 14*o - 3. Determine u*w(a) - 17*z(a).\nAnswer: a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -19 + 0 + 12*t - 984*t**2 + 982*t**2. Let y be s(5). What is the units digit of (-263)\/y + (-4)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9 - (63\/7 + -189)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -l, 5*i - 41 + 18 = 4*l - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j - 43. Let p = 15 - j. Solve -5*t - 5*l - 10 = 0, 3*l + 8 = -p*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030201123 - -30?\nAnswer: -1030201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4\/4 + 22145*s**3\/4 + 11075*s**2\/2.\nAnswer: -5*s**2*(s - 4430)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - r = 15, 408*a + 4*r - 20 = 404*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 - -4.2. Let u = -4.7 + v. Suppose 0*z + 4 = -4*z, 5*f + z - 9 = 0. Which is the closest to -2\/5? (a) 2\/7 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/47? (a) 192 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = j + 2*g, -16*g = 2*j - 11*g + 13 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-204)\/9*12\/8. What is the third derivative of 25819 - 25819 - 70*q**2 - a*q**6 wrt q?\nAnswer: -3600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/1350 + 2\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**5 + 266*d**2 - 338*d wrt d?\nAnswer: -20*d**3 + 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 7*c. Solve c = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*d + 5. Calculate the remainder when 2 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 155\/3 + -51. Let h = 0.168 + -0.268. Which is the nearest to h? (a) z (b) -5 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3383 - 3206. Solve -b*w = -179*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -6\/7, 2, -8\/159?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2776 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/120 - n**4\/12 - n**3\/3 + 3*n**2. Let y(h) be the first derivative of u(h). What is y(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 3580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurrrrrrruur. What is prob of picking 3 r and 1 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 6 + 7*q - 11 to g + r*q and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17*-940 + (-48 - (-50 - -3)). Which is smaller: t or -15982?\nAnswer: -15982","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*k - k. Solve 5*n + 0*n + k = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297932339 to the power of 1\/2, to the nearest integer?\nAnswer: 17261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:45 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 3 (c) -4468 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.4 (b) -4.242 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 12573*k**2 + 168990300*k + 269431156656.\nAnswer: (k + 1836)*(k + 24228)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, e: 2, m: 5}. Give prob of picking 1 m and 2 p.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343245 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: Solve 5054*b - 4*p = 5057*b + 44, -6*b - 2*p = -5*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.2 and 7?\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**2 + 127*p**3 - 9 + 46 - 12 + 598*p - 14 - 13 wrt p.\nAnswer: 762*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.63 bigger than -10.1926?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61585445393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5, 0 = 5*x + f + 3*f. Let s be 0 - (3 - (-19)\/(-1)). Calculate the highest common divisor of s and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.2 (c) 2\/3 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 150*i**2 + 4926*i - 3045. What is g(102)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 48*i + 5. Let y be r(-24). Suppose -3*p = 2*f + 6, 0*p = y*f + 2*p + 4. Solve -x - 1 = -2*j - f*j, -5*j - 3*x - 14 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 0*a)*(28 + 85 + 29).\nAnswer: -284*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**0)**7)**27\/((z**0)**(2\/155)*z\/((z*z**(3\/2)*z)\/z)*z**(2\/9)) assuming z is positive.\nAnswer: z**(3425\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by ((-8)\/12)\/((-4)\/246)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91.04706 and 9.\nAnswer: 819.42354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9316510 and 2890?\nAnswer: 158380670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/681 and -53\/2526.\nAnswer: 573402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 304478*o*u**2 - 76*u**2 + 814 wrt o?\nAnswer: 304478*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/105 + 107*a**6\/120 - 13*a**4\/24 - 15*a**2 + a. Find the second derivative of l(y) wrt y.\nAnswer: -24*y**2 + 642*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -540*x + 614. Does 26 divide v(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41439?\nAnswer: 3, 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 7 = -12*n - 39 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 = 2*w + 3*i, -5*i = 4*w - 33. Suppose 15 = f + w*f. Suppose f = 2*d - 1. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -45. Let z(q) = q**3 + 7*q**2 + 11*q - 6. Let r be z(u). What is the units digit of -8 - -4 - r\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294761557.\nAnswer: 241, 1223077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 51 = -2*d + 2*b, 4*b = 12. Suppose v = 43 - d. Let o = 35 - v. What is the lowest common multiple of o and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249406?\nAnswer: 2, 124703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, p: 10, y: 5}. What is prob of sequence fpf?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71584179 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2158.9341 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3859896196751\/12977520 + -547024287\/1840. Let m = t + -58\/2351. Let n = -134 + m. Find the common denominator of n and -111\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 33 = -5*u, -22 = 2*u - 3*m. What is the nearest to 0 in 0.118, 2, u, -3?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879 is divided by 309.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 4 + 4 + (0 - 2 + 4)*(-2*a**2 + 3 - 3) - 2*a**2 - 3*a + 3*a + 2*a**2 - 3*a**2 - a**2)*(2*a + 2 - 2 + (-2 - 1 + 5)*(a + 10*a - a)).\nAnswer: -110*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**5 - 24*k**4 - 38*k**3 - 7940*k**2 wrt k?\nAnswer: -120*k**2 - 576*k - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - i**2 + 0*i**2)*(-2*i + 4 - 4) + (2 - 1 + 0)*(-4*i**3 - 2*i + 2*i) - 1 + 6*i**2 - 6*i**2 - i**3.\nAnswer: -3*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/430 and -127\/18880.\nAnswer: 811840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 - 141*z**2\/2 + 1533*z - 9702.\nAnswer: 3*(z - 66)*(z - 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10111\/4 + -1041475\/412. What is the common denominator of q and 34?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647175 is divided by 67876.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/300 + 124*j**5\/75 + 16093*j**4\/60 + 29282*j**3\/5 + 2*j**2 + 30*j - 2. Factor d(k).\nAnswer: 2*(k + 6)*(k + 121)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559235 greater than or equal to 1559233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.61 <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose -2*c - 1 = -11. Suppose -a*f + 2*i + 18 = -0*i, 2*i = c*f - 33. Solve -3*t + f*t = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 690 and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24210.7441 rounded to the nearest 10?\nAnswer: 24210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2229, -3113, -3997, -4881, -5765, -6649?\nAnswer: -7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065150.1 rounded to the nearest 1000?\nAnswer: 2065000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*b**3 + 8916*b**2 + 177*b**3 - 358*b**3.\nAnswer: 3*b**3 + 8916*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1056 and -37\/448?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -19*t**6\/240 + 23*t**5\/120 + 5*t**4\/4 - 21*t. Let z(j) be the third derivative of x(j). Is z(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -5, -4, 6, 0 in decreasing order.\nAnswer: 67, 6, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 852 or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2427 + -1654. List the prime factors of a.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i - 1. Let b(t) = t**2 - 14. Let o be b(4). Let w(q) = -8*q**2 - 8*q - 10. Determine o*w(k) - 18*d(k).\nAnswer: 2*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q**3 + q**2 - q**2)*(0*q + 0*q + 2*q + (2 + 2 - 3)*(3*q + 0*q - 2*q) - 2*q + 3*q + q).\nAnswer: -70*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (2 + sqrt(200) + 1 - (sqrt(200) + -1*sqrt(200)*-5)) + 2)*2)**2.\nAnswer: -36000*sqrt(2) + 183600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 222*u**3\/7 + 6174*u**2 + 29028*u\/7 - 13968\/7 = 0. Calculate u.\nAnswer: -194, -1, 12\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 7. Let h(n) = n + 2. Let u be h(-5). Let w = u + q. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 6*a + 3. Let k be m(-6). Solve 2*t - k = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p**3 + p - p)*(1 - 2*p - 1) - 6*p**4 + 4*p**4 + p**4 + (3*p - p + 2*p)*(0*p - 2*p**3 + 0*p) to a*p**4 + x + s*p**2 + o*p + t*p**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2 + 1 + 9*r - 2*r**2 + 0 + r**2. Let f be c(9). Let u be (-19)\/(-38) - (7\/(-2) + -1). Sort u, -4, f.\nAnswer: -4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 4. Let c(l) = 18*l + 5. Let t(h) = 11*h + 3. Let f(b) = -3*c(b) + 5*t(b). What is -10*f(y) - 2*m(y)?\nAnswer: 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, 4, -6 in descending order.\nAnswer: 4, 2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**3 + 170*o**2 - 122*o - 1. Is f(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10394912513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105391 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (3\/(-2))\/((-1)\/2). Find the second derivative of 68*t - 48*t**4 - 28*t**4 + 57*t**x - 106*t**4 wrt t.\nAnswer: -1500*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15166 is divided by 5051?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 8. Let i be q(6). Suppose 2*d = -5*t + 81, 0 = 3*t + i*t - 5*d - 95. Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14786, 14782, 14776, 14768, 14758, 14746, 14732?\nAnswer: 14716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 13*c**2 + 16*c + 38. Let s(v) = v**3 + 13*v**2 - 16*v - 40. Let q(h) = -3*k(h) - 2*s(h). Let a be q(-14). Let r(j) = j**2 + j + 4. Give r(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - i + 4)*(-3*i + 3*i - i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -7. Let h be t + 3\/1 + -1. Let w(y) = 5*y**3 - 22*y**2 + 9*y - 6. Let s be w(4). Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:51 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9790.\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t**4 + 1532*t**3 + 6792*t**2 + 9680*t + 4000 = 0. Calculate t.\nAnswer: -50, -2, -5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-5))\/(p**0*p*p)*p\/(p\/(p\/(p\/p**(4\/11))))*p**(2\/27)*p)**44)**(2\/7) assuming p is positive.\nAnswer: p**(12920\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -90, -272, -612, -1164, -1982?\nAnswer: -3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6555.043 tonnes?\nAnswer: 6555043000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -634*b - 444. Is x(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(108)*-1 + sqrt(108))**2 + (-2*sqrt(108))**2*4)*1.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265 - -529\/2. Let n = -29\/40 + 9\/8. Sort 0.5, p, n in decreasing order.\nAnswer: 0.5, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.9275 times 0.142\nAnswer: 0.415705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-9)*p)\/p*p\/p**(-4\/7)*(p*p*p**(-17))\/p*p**(-1\/6))**(-14) assuming p is positive.\nAnswer: p**(907\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.25 (b) -0.1 (c) -0.05 (d) 10 (e) -3 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -34, -56, -78?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6300550?\nAnswer: 2, 5, 126011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -2\/9, 16 in decreasing order.\nAnswer: 16, 4, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 111111101101011001001 (base 2) to base 6\nAnswer: 112424533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9.42279 and -1.512.\nAnswer: -10.93479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**1*x))**(-7)*(x\/x**(-1\/3))**(-17\/3)*(x**(-1)*x)**(2\/5)\/(x**(-2\/7)\/((x*x*x**(3\/4)*x)\/x)) assuming x is positive.\nAnswer: x**(625\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31048 = 1010*y - 3430 + 6722 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8 - (4 + -10 - 3) - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 + g - 6. Let p(x) = x**2 + x - 6. Calculate -4*n(c) + 5*p(c).\nAnswer: -3*c**2 + c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 65*l + 1. What is the remainder when y(1) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12551 is divided by 91.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1582 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(6\/(6\/2)). Let m(w) be the third derivative of 0*w**4 - 1\/60*w**5 - 1\/120*w**6 + s*w**3 - w**2 + 0 + 0*w. Find the third derivative of m(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 2*x**3 + x**3)*(307*x - 307*x - 2*x**2).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 11\/3 (c) 2\/7 (d) 37337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**3\/3 + 375724*m**2 - 2254316*m\/3 - 1127164 = 0.\nAnswer: -1, 3, 281791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -594 + -504170463\nAnswer: -504171057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:38 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16996 = 141*h - 92561 - 78960. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**3*j**2 - b**3*j + 3036*b*j**2 + 4335*j + 1 wrt j?\nAnswer: -6*b**3 + 6072*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 86\/(-344) + 25\/4. Calculate the greatest common divisor of t and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 141 - -127. What is the second derivative of 7 + 262*h**3 - s*h**3 + 3*h - 23*h**2 - 4*h**2 wrt h?\nAnswer: -36*h - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.9, 24, 1\/4 in decreasing order.\nAnswer: 24, 2.9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21981 divided by 2?\nAnswer: 21981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 + 21*q - 7. Let u(m) = m**2 - 3*m + 1. Let j(f) = 2*a(f) + 14*u(f). Let x(l) = 21*l + 1. Determine j(x(n)).\nAnswer: 882*n**2 + 84*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8928 divided by -744\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 2*j**2 - 4*j. Suppose 6*p = p + 15. Determine w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71, -130, -175, -200, -199?\n\"Answer: l**3 + l**2 - 69*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 20*f**2 - 36*f + 15. Let v be t(18). Let h be ((432\/15)\/2)\/(v\/50). What is the greatest common factor of h and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6263?\nAnswer: 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*8699\nAnswer: -17398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fb6 (base 16) in base 12?\nAnswer: -4846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:04 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(sqrt(13) + -2*sqrt(13) + 2)**2 + (6*sqrt(52)\/sqrt(4) + 4 + 2)**2 + 5.\nAnswer: 92*sqrt(13) + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1392598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 - 9\/(-30). Let d be (-8)\/(-30)*(-9)\/162*-9. Let i = d - p. What is the closest to -0.1 in 4, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44342 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*((sqrt(19) - (sqrt(1900) - sqrt(19)))**2 + -5) - (1*((sqrt(19) - (sqrt(19) + 2 + 3)) + 0))**2.\nAnswer: -1239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2 + sqrt(1573) - sqrt(1573)) + 5 + sqrt(1573) + sqrt(1573) + 4 + -2*sqrt(1573))**2 + -3*sqrt(1573)*1 + 4.\nAnswer: -33*sqrt(13) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 16*d + 17. Let t(n) = -5*n - 6. Suppose -69*v - 41 = 166. What is v*p(j) - 8*t(j)?\nAnswer: -8*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544 a factor of 248342040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3721*m + 32. List the prime factors of p(1).\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 62 + 1424502*t - 1424385*t.\nAnswer: 117*t + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -15. Let t = f - 33.25. Let j = t - 0.9. Round j to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -24*f - 712. What is z(-29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.3, 2\/11, -0.5, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 329, 658, 987?\n\"Answer: 329*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/6*18\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 7*c**5\/40 + 23*c**4\/24 + 5*c**3\/3 + c**2 + 5*c + 2. Find f, given that p(f) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -126663.822 to the nearest one hundred.\nAnswer: -126700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 140291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -456 (base 13) to base 4\nAnswer: -23223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585317.2 less than 0.5?\nAnswer: -8585316.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 6. Let a be n(-3). Let s be ((-15)\/(-10))\/(a\/(-12)). Solve 1 = s*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.1 and 4.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 808 and 876?\nAnswer: 176952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-6)\/r**(2\/11))\/(r\/r**(3\/8)*r**(-2)))**(-38\/7) assuming r is positive.\nAnswer: r**(8037\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 x when three letters picked without replacement from lmxllwlxwlwhkkx?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1407648 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175680352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -492879900*q**4 + 6*q**2 - 9294497*q wrt q.\nAnswer: -11829117600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54530\/(-507129))\/((-5)\/(-1)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j**2. Let k(d) = -d**2 + 5*d + 7. Let z be k(6). Let t = z + 0. Give u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.4 + 3.2. Let q = b - 14.59716. Round q to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87986951.\nAnswer: 13, 17, 359, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzxbxbxbxbxbxxxbxbb. Give prob of picking 1 z and 2 x.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 10. Let o be n(-7). Let b = o - -37. Let q = 21 + -10. What is the remainder when b is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 13. Let z(q) = -2*q + k - 5. Let a(u) be the first derivative of -u**3\/3 - 48. Calculate a(z(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**5\/20 - 3*v**4\/4 - v**3\/3 + 5*v**2\/2 - 79*v - 200. Let b(s) be the first derivative of w(s). Give b(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 13*f - 981. Calculate the remainder when f is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 - 6226*q**3\/3 + 3518564*q**2 + 1630275890*q\/3 - 11822743889357\/3.\nAnswer: (q - 2371)**3*(q + 887)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*f - f - 2, -2*f - 21 = -3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**2*p**2*t**3 + 60*g**2*p**2*t**2 - 7*g**2*p - 6*p**2*t**3 wrt t.\nAnswer: 48*g**2*p**2 - 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6}. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 622468 and 517?\nAnswer: 622468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 3.273?\nAnswer: 1.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/395, 3\/2, 7, -0.5 in decreasing order.\nAnswer: 7, 3\/2, -1\/395, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33789 - 16249. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69107545, -0.1, 0.2 in descending order.\nAnswer: 0.2, -0.1, -69107545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 times -1419?\nAnswer: 143319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t - 10. Suppose -1319 = -5*l - t*q, -4*q + 5*q = 2. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 4:17 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 minus -0.0375141?\nAnswer: -390.9624859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**5\/12 + 5*d**4\/8 + d**2 + 4*d + 61. Let r(q) be the second derivative of p(q). Factor r(h).\nAnswer: -5*h*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -2.2. Which is the second biggest value? (a) -3 (b) 0.2 (c) 0 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 15 = 0. Let x = 96 - 66. Suppose -2*q = 3*z - x, -2*q = 4*z - 6 - 22. Solve o = 5*o - 2*a + q, 0 = i*o + 5*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*a - 0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6143083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 328980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1510697, -3021395, -4532093, -6042791?\n\"Answer: -1510698*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 234*s**3 + 1198*s - 1198*s + 3*s**2.\nAnswer: 234*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 45 = -5*x, 0 = 5*x + 4*b + 17 + 33. Let y be (9\/x)\/(3\/4). Is -2 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from infiifvdvfffiffdvv. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + 55. Suppose -3*u + 6*u + 9 = 0, 4*v - f = -5*u. Suppose 21 = 2*o + o. Calculate the highest common factor of v and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 23*u**2 - 14*u + 17. Let j(w) = -8*w**2 + 5*w - 6. Give 4*f(a) + 11*j(a).\nAnswer: 4*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.07 - 0.07. Let s = p - 2.3. What is the closest to -1\/3 in 4, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 7 + 13 - 6.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - (-825)\/828)*45\/24*12 and -5\/176.\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 1, 21, -1, 6, 10 in decreasing order.\nAnswer: 21, 10, 6, 1, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 5:52 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-5)*((-288)\/40)\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/19)\/(s**(3\/7)\/s)*(s\/(((s\/s**(-4))\/s)\/s))\/(s**(-17)\/s*s*s*s))**(12\/5) assuming s is positive.\nAnswer: s**(21576\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**8\/36960 + d**7\/13860 - d**4\/6 + 3*d. Let v(c) be the third derivative of r(c). Let v(n) = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:11 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15256, -2, 19, -5 in decreasing order.\nAnswer: 19, -2, -5, -15256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63*j + 18*j - 56*j)*(j**2 + 6*j**2 - 2*j**2) as n*j**3 + f*j + i + c*j**2 and give n.\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2*g + 2*g)*(-3 + 9*g**2 + 3) - 7*g**4 + 2*g**4 + 4*g**4 - g**4 - g**4 + 0*g**4.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*w + 5*d - 167, -440 = -4*w - 2*d. Suppose -2*v + 24 = -0*v. What is the greatest common factor of w and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z + 5*t - 17 = 25*z, -3*z - 5 = -2*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201110 (base 5) in base 7?\nAnswer: -121141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3\/13))\/k**8*(k*((k*k**1*k)\/k*k)\/k)**(-50) assuming k is positive.\nAnswer: k**(-2044\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -2 - (26 + (-25 - (-5 - 4)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18955 - 18952. Suppose -a*z + 3\/2*z**2 + 3\/2 = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 5*b**2 + 4*b. Let n(m) = -14*m**3 - 21*m**2 - 17*m - 1. Let z(j) = 9*l(j) + 2*n(j). Determine z(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 1)\/(21 + -20). Suppose -3*f - 14*f + 442 = s. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341183, -682364, -1023545, -1364726, -1705907, -2047088?\nAnswer: -2388269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16771 by 9908.\nAnswer: 16771\/9908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -6. Let t = 7287 - 7282. Which is the smallest value? (a) -1 (b) -1\/30 (c) u (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - k - k + 140, -2*g = k - 55. What is the lowest common multiple of g and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**4 + x**4 - 3*x**2 - 1 - 5*x**4 + 2*x**2 to v + t*x**4 + o*x + k*x**3 + w*x**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 5) to base 16.\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s)*(s**3 - 3*s**2 + 3*s**2) + 3*s**4 + 18*s**4 + 2*s**4.\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29736 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: (12 + -3 - 0) + -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + p. Let l be g(-1). Let k(s) = 113*s + 117*s + 65*s**2 - 233*s. Is k(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100753460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 108 = -4*k - u, 4*u = 2*k + 72. Let q = k - -63. Which is smaller: 30 or q?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -16*j + 6. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206*579.\nAnswer: -119274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31464889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 + 8\/(-28). Suppose u = -2*v + 6*v - 4. Suppose -5*q = 8 - 23. Sort q, v, -2.\nAnswer: -2, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u - 21. Let s be n(13). Let d(k) be the first derivative of 2*k + 5*k**2 + 2*k**s + 5*k**4 + 20\/3*k**3 + 1 + 1\/3*k**6. Factor d(b).\nAnswer: 2*(b + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16749, -16745, -16739, -16731?\n\"Answer: c**2 + c - 16751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d**2 - 12*d - 5. Let i(h) = -10*h**2 + 0*h**2 - 6*h - 6 - 6*h. Let j(t) = -6*a(t) + 5*i(t). Find the second derivative of j(b) wrt b.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.094 - 0.094. Let c = b - 28.99955. Round c to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 - 9*x + 5. Let v be l(-5). Which is smaller: 6\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9474, 18986, 28496, 38004, 47510, 57014, 66516?\n\"Answer: -x**2 + 9515*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 716.9303us to nanoseconds.\nAnswer: 716930.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -724, -1083, -1440, -1795, -2148?\nAnswer: -2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 14. Let t = -13 - f. Which is the second biggest value? (a) -4 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 68*y - 20. Let r be d(1). What is the common denominator of (5\/28 + 0)*6 and 3\/(-6) - (339\/r - 6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - t = -0*t - 9, 3*a + 3*t = 15. Suppose -2*x = -2 - a. Let j be (4800\/14)\/(x\/(-525)). Round j to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7470391 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - b**2 - b. Let z be s(2). Let l be 553\/420 + (-5)\/75. Is l equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 12) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 795750929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 111\/(-18) - 4\/(-24). Let k(j) = -j**2 - 6*j + 2. What is k(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -200.867 - 0.133. Let c = 206 + d. Let p = 14 - 7. Put -1\/5, p, c in decreasing order.\nAnswer: p, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/(-6))\/(6\/(-64)). Suppose 4*y - 24 = -h + y, -3*h - 3*y + c = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1521321210 + 10?\nAnswer: -1521321200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Let z = 5 + p. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-124)\/(-2)*(55 - 52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*q + 12351 + 10833 = 142*q for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003353227 to 6 decimal places.\nAnswer: 0.000335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*i**2 + 3*h**3*i - 1078*h**3 + 2*h**2*i - 4*h*i + 206004335*i**3 + 225*i wrt i?\nAnswer: 4*h**3 + 1236026010*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3142555 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -37. Solve n*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnm when three letters picked without replacement from {l: 1, n: 1, z: 1, g: 1, k: 1, m: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r**2 - 3 + 5 + 0)*(-1 - 2 + 4)*(-9 - 8 - 61).\nAnswer: -1248*r**2 - 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13520 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e19e + d7?\nAnswer: 3e286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 809, 784, 623, 260, -371, -1336, -2701?\nAnswer: -4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*o - 22, 3*w - 4*o = -2*o - 32. Let c = w + 13. What is the units digit of (-3 - 6)*(-2)\/c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2505\/55771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by 35\nAnswer: 328\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let n = -2.02 - -0.02. Sort 0, m, n in increasing order.\nAnswer: m, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 383*t**6\/6 + 209*t**3\/3 + 35. Find the third derivative of p(g) wrt g.\nAnswer: 22980*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 18. Let v = 34 - p. Calculate the greatest common factor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 121*s**2 + 523*s - 6605. Give i(-116).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204346.\nAnswer: 2, 83, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -28 - 23. Suppose 3*q + 2*z = n, 3*z = 12 - 0. Suppose -5*h = -2*h. Solve -y - q*y = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m - 2*m - 42 + 42. Let a(d) = -4*d**2 + 2. Let z(y) = y**2 - 1. Let s(t) = -a(t) - 2*z(t). Give s(k(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 14?\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33467*g**2 + 2 + 41*g**3 - g + 33467*g**2 to the form w*g**2 + t*g**3 + x*g + n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1422 - -5743\/4. Calculate the common denominator of -53\/6 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4\/5, 0 in descending order.\nAnswer: 19, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2*y**2 + 2294*g**2 + 2*g - 5823*y**3 - 11 with respect to y.\nAnswer: 6*g**2*y - 17469*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22043673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.187013 litres in millilitres?\nAnswer: 7187.013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*g**2 - 116*g + 35*g + 45*g + 36*g.\nAnswer: -208*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -558007 * -0.3\nAnswer: 167402.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g - g - 3 + g**2 + 3 + (-2*g**2 + 2*g**2 + 2*g**2)*(1 - 6 + 3) - 3*g**2 + 2*g**2 - g**2 - 46*g**2 - 68*g + 68*g - 23*g**2 - 5 + 4 - g**2.\nAnswer: -76*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12\/10*(-615)\/(-246)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + s - 2*s + 0*s**4 + 31 - 33 in the form j*s**2 + i*s**3 + a + t*s + v*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, g: 8, d: 3, f: 2}. What is prob of sequence dffy?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724021474?\nAnswer: 2, 157, 269, 44089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 9. What is the smallest value in i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 8*b**2 + 5 + 7*b**2 + 0*b**2. Let h be p(0). Solve h*t - 4 = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989404 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124992 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/515, -0.1, -5106.\nAnswer: -5106, -0.1, -24\/515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*v**3 - 15*v**3 + 14*v**3.\nAnswer: 96*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11701 - 11697. Put -2\/21, -0.3, 5, o, -0.1 in decreasing order.\nAnswer: 5, o, -2\/21, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-3) + -6 + 7\/3. Let f(m) be the first derivative of -5\/6*m**2 - 1\/9*m**3 + 9 - u*m. Factor f(d).\nAnswer: -(d + 1)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzhzh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -154, -608, -1358, -2398, -3722, -5324, -7198, -9338?\n\"Answer: x**3 - 154*x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5929?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -25825*j + 413176. Determine p(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1216 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 19*q + 173. Let z be j(-9). Let r be (0\/(-6))\/6 - (z + -7). Solve -r*b - 20 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o + 4*o**3 - 2*o**2 - 7*o**3 + o - 1. Let h be m(1). Let k be (-146)\/(-3)*(h\/(-4) + 1). Round k to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 772200 and 10231?\nAnswer: 607721400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(7\/2))**47\/(x*x*x**(-22)*x**14) assuming x is positive.\nAnswer: x**(435\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 0.7, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(108)*1 + 1 - (5 + sqrt(108)*2)) + 1 + 1 + 2 + sqrt(108) + 3 + -5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 3*r, -2*m + 5*r + 18 = 0. Find the second derivative of -5*q - 14*q**2 - 15*q - m*q wrt q.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 + p. Suppose -3*s + 219 = -3*a - 3, -5*s = 3*a - 362. Let g(v) = -2*v**2 + 8*v - 8. Let i be g(8). Let l = s + i. Give c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 2*v**3\/21 - 4*v**2\/7 - 10*v\/7 + 5. Factor i(c).\nAnswer: 2*(c - 5)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cba3 (base 13) to base 12.\nAnswer: 144b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 8, m: 4}. Give prob of sequence em.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -274?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 2*j + 1. Let x = -12 + 21. Let b(m) = -13*m**2 - 3 + 0*m - 2*m + x*m. Let k be 5\/2*2 + 2. What is k*q(v) + 2*b(v)?\nAnswer: 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 134*t**2 + 3*t + 3. Let r be b(-5). Suppose 5*g = q + 17246, -g = 3*q - 108 - r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/2 - 18351*h**2\/2 - 29431413*h\/2 - 4132157865\/2.\nAnswer: -3*(h + 155)*(h + 2981)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -869891 by -28061.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-37)\/(-36) + (-4540)\/10215 - 1.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166431874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 2259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 11*x**2 - 13*x - 12. Let w be j(-12). Let o = 1478 - 1473. Solve -o*s + 3*s = w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3013*k - 1484*k - 1269*k**2 + 0 - 252*k**2 + 0 wrt k.\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12864841, -12864825, -12864803, -12864775, -12864741?\nAnswer: -12864701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1379 - -4138\/3. Let w(o) be the first derivative of 0*o + 0*o**2 + u*o**3 + 11. Let x(v) = -14*v**2. Give w(x(c)).\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38151095 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2482761 and 10797?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014499 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -1. Suppose 2*r = 5*n + 16, -r = 3*n + 4 + 10. Let p = 0.04 + 2.96. What is the nearest to r in 0.4, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.3 (b) 2 (c) -64534 (d) -31 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2461173 and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(sqrt(11)*3)**2 + 5.\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88023 is divided by 11002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiqttecbiie. Give prob of sequence btqt.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35141, 35151, 35161, 35171?\n\"Answer: 10*w + 35131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**(-1\/7))*d*d*d*d**(-2\/9) assuming d is positive.\nAnswer: d**(247\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 2 - (2 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 7*n - 7. Let k be 1 + (-12)\/(2\/1). Let g = k + -2. Let f(h) = 2*h**2 - 3*h + 3. Determine g*f(t) - 3*s(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3590 + 3590 - 87*b + (-4 + 2 + 3)*(0 + b + 0) + 0 + 6*b + 0 + (-4 + 2 + 0)*(2*b - 5*b + b).\nAnswer: -76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppipppppiipipiiiiii. Give prob of picking 3 p.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4 - 13*s**3 - 615*s**2 + 10013*s - 9386 = 0. Calculate s.\nAnswer: -26, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14781816 divided by 234632\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2*p + 14 = 0, 7*u - 12*u + 2*p = -31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 0 - sqrt(847)*1)**2 + -4 + 5)*3.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12554 - 12554 + 24*v - 9*v**3 + 69*v**2 = 0.\nAnswer: -1\/3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4551*p**3 - 13*p**2 + 13*p - 1. Is 25 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t + 10. Calculate the remainder when 3\/(2 - 50\/26) is divided by j(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-14))\/(32\/112)*-6. Suppose 0 = -2*a + f + 1. Calculate the remainder when a is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -3 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**3 - 3*q**4 + 264*q**2 + 5 - 265*q**2 + 12 - 13 to s + u*q**3 + c*q**2 + v*q + n*q**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3786 + 4416 = -30*v. Let m(j) = j**2 + 22*j + 47. Give m(v).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhdf when four letters picked without replacement from zdhfzjjh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*k = 42, -7*q + 710*k + 255 = 714*k. Suppose -5*u + 24 = 3*j - 11, -2*u + 2*j = 2. Solve -q*g - u = -42*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 40?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 212 - 322*w + 366*w - 39*w + 2*w - 2*w - w + (2 - 3 - 1)*(-w + 3*w + 0*w) + 0 + 0 - 2*w in the form f + g*w and give f.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(8208) + (sqrt(399)*1 - sqrt(399))\/sqrt(7))\/(1*sqrt(192))*1.\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0 + 0 + 2*q**2 - 2*q**2 - 2*q**2 + (-6*q - 54 + 54)*(0 + 0 - 3*q).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*i - 20445, 2*n - 3*n - 4093 = i. Let p = i + 6805. Suppose -2*t + p = 5*x, 0 = 4*t + 2*x - 0*x - 5442. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233188.8147 rounded to the nearest 1000?\nAnswer: 233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.12898 decades to centuries.\nAnswer: 4.912898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-4))\/((-70)\/20))\/((-1)\/24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 12*g + 5. Let l be n(-12). Let d be -42*8\/60*5. Let r be d\/(-88) - (-2)\/11. Which is the closest to 0? (a) l (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 205, 459, 815, 1273, 1833, 2495?\nAnswer: 3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1247 divided by -5\nAnswer: -1247\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 73 = 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -733*g**3 - 12*g**2 + 5*g + 8. Give o(1).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + ((-10)\/2)\/(-5). Let l be 3\/((-9)\/(-3))*i. Suppose g - 4 = l. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/130 and -119\/78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -528, 1, -1, 71 in increasing order.\nAnswer: -528, -1, 0, 1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -2\/87 (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v + 32*v**4 + 59*v)*(2 - 7 + 3).\nAnswer: -64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let g be ((-2 + -7 - 1) + -6 + 14)\/(-16). Which is the nearest to s? (a) g (b) -2\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252315 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 12, 3*s = -5*u + 128 + 144. Suppose -5*d + d + s = 0. Let r = d - 10. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {s: 1, k: 3, v: 10, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f + 3 = -q, 200*f - 203*f = 3 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (0 + 10 - 13 - 6) - 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:26 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlyetlwldtweleltyl. Give prob of sequence de.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1183, -1213, -1265, -1339?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/8 - 4466\/(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((2\/4)\/((-18)\/(-504)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-220)\/4) + -3. Suppose 2*h - 10 = z. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -17*o**2 + 5*o + 5. Let q(a) = 90*a**2 - 24*a - 33. Let r(t) = -t**2 + 1. Let c(n) = 2*q(n) + 18*r(n). What is 5*c(w) + 48*z(w)?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, p: 2}. Give prob of sequence jjpj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - -253. Let i = r + -314.00000724. Round i to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 28 - 48 + s + 0*s.\nAnswer: 2*s - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2290*w + 45770 = 1295*w for w.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 601*o**2 + 13269*o - 538. Calculate c(-23).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*x - 173 = 4*t, x + 360 = -2*t. Let r = -255 - t. Let v = 110 + r. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 32 - (-22 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 1039 = -3*j - 5*g - 747, -3*j - 3*g = -6*g + 156 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -224 + 1571\/7. Which is the biggest value? (a) n (b) -10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 14*m - 2. Calculate g(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -181 - -223 - (1 + 50).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q + 19*q - 17*q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50164735 is divided by 129.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + 1 + (-6)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 - -91 - (-2)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 20 = o + 4, -4*o - 2*w = 40. Suppose -2*d = -3*g + 38, -59 = 3*d - 0*d - 5*g. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360446 is divided by 292.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (88\/20 - 1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*d - 200*d + 116*d.\nAnswer: -215*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/18 - -7)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (0 - (-16)\/(-10)). Suppose -2 + 8 = -3*k. Which is the biggest value? (a) f (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 12*c - 12, -5*c = -2*u + 48. What is the highest common divisor of 187 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16713 and 2286.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -546.17 rounded to the nearest integer?\nAnswer: -546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -1 (b) 0.5 (c) 0.4 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6042)\/(-190))\/(-53))\/(6\/16)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-4)\/12*(-3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13500 - 13497. Sort -12, p, 0, 2, -4 in descending order.\nAnswer: p, 2, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 1 - 2\/(-6). Let r = -355\/1059 - -2\/1059. Which is the closest to h? (a) -2\/13 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -0.085524949?\nAnswer: -0.085524949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 21*n = 6*x - 60, 3*n = 3*x - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509101 (base 12) to base 4.\nAnswer: 10303211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.229 to one decimal place.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4292358 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1801244593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + (-4)\/(-8). Let a = -1\/2006 - 8021\/6018. Let l = -7 - -12. Sort v, l, a, -4 in increasing order.\nAnswer: -4, a, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 77*l**4\/4 + 85*l + 14. Differentiate f(n) with respect to n.\nAnswer: 231*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3329\/2 + 1630. Let l = t + 273\/8. What is the closest to 2 in 1\/5, -4, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 w when four letters picked without replacement from mmmwwmwwmmwwwwmmmww?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 6 = -1693*d + 1696*d, 5*d = -20 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57470, 460051, 1552766, 3680681, 7188862, 12422375, 19726286?\nAnswer: 29445661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(8\/2)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2099.33 from -20.431.\nAnswer: 2078.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -118. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47754740 a multiple of 1657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171)*2 + 5 + sqrt(171) - sqrt(171)) - -2*sqrt(171)*-4)**2.\nAnswer: 270*sqrt(19) + 13876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (3 - -8)) + (2 - 84 - 0) - 12.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 54 = -45*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 1 - (-23 - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2153 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 6. Let g be ((-2)\/(-4))\/(h\/(-20)). Let m(i) = 7*i. Let t(r) = -15*r - 1. Let x(b) = g*m(b) - 2*t(b). Find the first derivative of x(s) wrt s.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405715 is divided by 504?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -5 - (22 + 22). Let l = 48 + h. Suppose 5*j = -x + 9, l = j - 0*x - x + 3. Solve -r - 7 = 5*z - 3*z, r = 2*z + j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, c: 3}. What is prob of picking 1 c and 3 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*o - 4*n + 2, 4*n = 2*o + 32. What is the units digit of (21\/o)\/(-7)*48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:05 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 2*n - 7, -5*l - 7*n + 3*n + 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -7, 0, -0.2, -52, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/15 + 132494*j\/15 = 0. Calculate j.\nAnswer: -66247, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -185*k**3 - 61*k*p + 1064412*p wrt k?\nAnswer: -555*k**2 - 61*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2105635.\nAnswer: 5, 7, 60161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*y + 4. Let d be ((-2208)\/441 + 5)*2. Which is bigger: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Suppose 0*n + 45 = 5*n. Let y = n - 9. Is v < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 27 - 28. Let t = u + -9. Suppose -t*r + 15 - 77 = -5*b, -5*r + 34 = b. Calculate the remainder when 39 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 19*d**2 - 18*d**3 - 19*d**2 + 6.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76362 + 112556. What are the prime factors of w?\nAnswer: 2, 18097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.956 + -2.032. What is the smallest value in 4, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*k**6 - 5988*k**5 + 38646*k**2 wrt k?\nAnswer: 360*k**3 - 359280*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 5:23 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3*(-27)\/(-10). Let o = 11\/5 + y. Let o*c**3 - 2\/5 - 2\/5*c + 2\/5*c**2 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.61032 micrometers in meters?\nAnswer: 0.00006661032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgpjpjpgyapjyt. Give prob of picking 1 t, 1 p, and 2 j.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.82 + 0.02. Let j = r - -1.2. Let o be 2*(-2 - 14\/(-6)). Which is the smallest value? (a) o (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((342\/(-21))\/(-1))\/((-8)\/(-1680)*10) is divided by 65.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3159 - 3164. Which is the second biggest value? (a) 1 (b) 0.3 (c) w (d) 2.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0509 and 0.1.\nAnswer: 0.00509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 7. Let c(z) = -2*z - 5. Let x(u) = -u - 3. Let y = 26 + -23. Suppose -12 = 3*f, -t = y*t - 5*f. Let n(a) = t*x(a) + 3*c(a). What is n(b(s))?\nAnswer: -2*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*k = -2*z - 211, -5*z - 5*k + 1075 = 0. What is the tens digit of (8\/6)\/((33\/z)\/11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -240113423?\nAnswer: -240113413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14682 is divided by 83?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1282 (base 10) to base 11.\nAnswer: a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 560?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -426 (b) 2\/5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -17, -20, -25, -32, -41?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 11810 = -5*a, -5*a = -3*a - 3*x + 4724. Let s = a + -2818. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2 - 3. Let i(j) = 0 + 12*j**2 + h + j**2. List the prime factors of i(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 8. Let i(j) = j + 1. Let k(w) = -f(w) - 6*i(w). Suppose 0 = -4*m + 5*u - 40, -3*m - 4*u + 5*u = 30. Let a = -7 - m. Calculate k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwzb when four letters picked without replacement from bwwzxbbbzxxbbbz?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l**2 - 341*l - 2411. Give m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -93. Let u(i) be the third derivative of 0*i**3 + i**w + 1\/180*i**5 + 0 - 1\/36*i**4 + 0*i. Factor u(p).\nAnswer: p*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 40604?\nAnswer: 2233220","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:39 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 42609700 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 2*d - 36, 4*b + 106565*d = 106570*d + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2175*a + 128282. Give q(59).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 7:15 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56658 + -56655.6881. What is d rounded to two dps?\nAnswer: 2.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-3))\/(-2 - (-127)\/63).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*i - 59 + 65, 16 = -2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18035446 - -26046433. Let g = 3052183235\/381 - h. Let f = 6\/127 + g. Calculate the common denominator of f and 37\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 6. Let r(m) = -16*m + 21. Let k be r(-10). Let z = k + -180. Let j(x) = 1. Give z*f(t) + j(t).\nAnswer: -t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -2 + 0*f + 0*f**2 + 17\/3*f**3. Let t(d) be the second derivative of -d**4\/12 + 3*d. Give i(t(x)).\nAnswer: 17*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65a5bb (base 16) to base 4.\nAnswer: -121122112323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + (-230028)\/(-30). Suppose 5*t + o = s, 3*o - o + 7659 = 5*t. Let q be (-5)\/5 - 3*t. What is q rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 0.5 (b) 0 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2607 is divided by 201.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.12725 + -0.12725. Let n = 0.4 - 0. Let d = -16 + 15.5. What is the third biggest value in n, d, -7, o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*d + 24113070 = 24080365 for d.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11 = 45. Let t be (m - 2) + 1 + -2. Let j = -9 - t. Calculate the highest common factor of 121 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7357, 14698, 22037, 29374?\n\"Answer: -c**2 + 7344*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176110 = -5*n - s + 2*s, 0 = n + 2*s - 35211. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116614 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 17*b - 55 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/24)\/(2 - 3). Factor -7\/4*w - o*w**2 + 3\/2.\nAnswer: -(w + 3)*(3*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*(-1)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*t + 2. Suppose 2*m - 2*w + 0*w = 14, -37 = -5*m + 4*w. Suppose 14*g - 11*g = m. Solve -g = 4*s + t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*l + 2*l, 5*k = -3*l - 8. Let t(q) = 0*q + q**3 + 0*q + 1. Let w be t(k). Which is smaller: 2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 32\nAnswer: -17\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = -5*l + 18, 3*j = l - 1. Suppose -7 = -l*h - 3*w + 4, -h - 2 = -4*w. Solve 0 = 2*u - 4, -2*u = -2*q + h*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, n: 1, a: 2, v: 1, j: 2}. What is prob of picking 1 n and 1 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**7\/70 + f**6\/18 - f**5\/45 - 22*f**2. Determine h, given that j(h) = 0.\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(684)*5 + ((sqrt(209) + -1*sqrt(209))\/sqrt(11))**2).\nAnswer: 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*i + 23 = -i, 11 = 4*b + i. Suppose 0 = -28*f - f + 36395. Suppose -f = -b*r - r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 595093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -77\/6 in -1, 0.2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-4)\/(-24) + (-3)\/(-9). What is the closest to 1 in -2, -9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 15*r**2 - 33*r - 28. Let j be c(12). Let n(i) = 5*i + 99. Does 2 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-8 + (4 - -3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.83 - 874.83. Which is the closest to n? (a) 0.5 (b) 0.3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -x**4 - 72865*x**3 + 13*x**2 + 833.\nAnswer: -24*x - 437190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 37*u**2 + 4*u**3 - 71*u**2 + 34*u**2.\nAnswer: 4*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 4 = 3*t. Let p be (-94)\/(-18) - t\/(-27). Solve -p*m + 1 = -6*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*d + 100, 2*n = -4*d - 95 - 93. Suppose 2*i = -504 + 592. Let y = -92 + i. Do d and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88991221 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 + -149. Let p = 67.2 + x. Let c = 61.1 - 61. What is the third smallest value in -1\/14, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1\/4))\/(w\/w**(-2\/9))*w**1*(w\/(w\/(w\/w**(-2\/13))))\/w assuming w is positive.\nAnswer: w**(787\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6 + 4*s + (-s - s + 0*s)*(0 + 2 - 3) + 307*s - 1210241 + 1210241 to the form m*s + i and give m.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(-12)\/2. What is the least common multiple of ((-20)\/(-6))\/((-1)\/w) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 409*m**2 - 1. Let t(q) = q. Determine g(t(i)).\nAnswer: 409*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-3)\/(-6) + 29. Let h be 5*(t\/(-15))\/(-3). Put h, 0, -2 in descending order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.152 * 40862\nAnswer: -6211.024","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 114941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -341*a. Let m(v) = 5*v**2 + 2*v - 23. What is g(m(w))?\nAnswer: -1705*w**2 - 682*w + 7843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 15 = 0, -730*c + 726*c = 5*w - 75 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*b = 76, 0 = 2*k - 6*k + 2*b + 74. What is the smallest common multiple of k and (330\/(-20))\/11*(-44)\/3?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 5:21 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-49)\/(-2)*6768\/5076\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 52\/(-4) + 3. Let u be (-80)\/(-12)*-3*1. Let k(c) = 2*c + 30. Let m be k(u). Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0549979 to 1 decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 18, -40\/27, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11313*m + 9 - 11266*m + 2*m**2 - 18)*(0 + 0 - 2*m**2).\nAnswer: -4*m**4 - 94*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 6*s + 6*s - 2 + 27444*s**2 + 4*s.\nAnswer: 27444*s**2 + 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/4461 or 1?\nAnswer: 56\/4461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/16 of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 3. Let t = -123 + 158. Let n = 40 - t. Calculate g(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and -1167.\nAnswer: -128.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0636648 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5063 - 4976. Let r(l) = 13*l + 5. Let g be r(4). Let n = g + u. Is n a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38145460471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9025*q + 9012*q + 1.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/25)\/z))**(1\/36)*(z**5)**(-22) assuming z is positive.\nAnswer: z**(-10997\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(72) + 0)**2 + 0) + (sqrt(30)\/(1*sqrt(5)))\/(sqrt(48)*5).\nAnswer: -360 + sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.486915 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 7:06 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 56*p = 51*p - 1131, -5*l + 5745 = 5*p. What are the prime factors of l?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from laxeaooxeexxkxe.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 103*o**2 - 7*o + 5. Is 16 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-9)*-2)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*v + 6*v = 113, -4*p = -2*v - 80. Let i = 22 - p. Let s(m) = m**2. Let t(l) = l**3 + 2*l**2 + 2*l + 2. Determine i*t(j) - 2*s(j).\nAnswer: j**3 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*a - 1. Let h(v) be the first derivative of v**2 - 14*v + 92. Let l be h(8). Sort 0, a, -4, l in decreasing order.\nAnswer: l, 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32008661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**5 + 4*x**5 - x**5 + (2 + 2 - 3)*(2*x**5 + 0*x**5 - 3*x**5) + 3*x**5 + 3*x**4 - 3*x**4.\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 80403942 to the power of 1\/3, to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -132. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2. Let f be h(-2). Let d(i) = 3*i**2 + 5*i - 28. Let n be d(f). Is n bigger than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/10)\/(8\/40). What is the derivative of 0*v**4 + 0*v**n + 3*v**4 - 3 wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-84)*12\/(-8). Let s = -164.4 - -131. Let v = s - -33. Which is the nearest to r? (a) v (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318625379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*v = 1034*v - 36 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j + 39*j - 107671 = -o, -538355 = -5*j - 2*o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 1389 = 4*a. Let c = 555 + a. Suppose 5*s - 2*s = c. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 = -2*v + 350 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-144.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/27))**(-4\/33)*(c**9\/c)**(1\/22) assuming c is positive.\nAnswer: c**(332\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/7 of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s - 44. Let w = -22 + 28. Suppose 4*z - w*z - 16 = 0. Let f be u(z). Solve -b + 3 - f = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1379, 20 in descending order.\nAnswer: 20, 4, -1379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 5. Let o be u(5). Let q(k) = -29*k + 5 + 14*k + 30*k. Let y be q(5). What is the greatest common divisor of y and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q. Suppose 2*i + 2*i = q. What are the prime factors of (0 - i) + 10 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 7783, 2 in decreasing order.\nAnswer: 7783, 7, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = s - 179 - 269, 0 = s + 3*o - 416. What is the highest common divisor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*i**2 - 114*i**2 - 4*i**2)*(-2 - 2 + 2*i + 1)*(5 - 26 + 10).\nAnswer: 1650*i**3 - 2475*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 63, 1, -5, 36, -489 in decreasing order.\nAnswer: 63, 36, 1, -5, -48, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3206790 and 360?\nAnswer: 12827160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + b = 5*b - 8, -2*b = 0. Suppose -5*k - 10 = -5*g, 6*k + 25 = k. Sort g, 6, m.\nAnswer: g, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12830.272 to 0 dps.\nAnswer: 12830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let j(l) = l**3 + 7*l**2 - 2*l - 4. Let g be j(-7). Let x = 0 - 0. Solve x = -4*w + 4*k + 24, w = 3*k - q*k + g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:42 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13941 divided by 3.\nAnswer: -4647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t - 2*t. Let h(v) = -v - 1. Let m(b) = 2 - 2*b + 3*b + 10*b. Let l(i) = t*m(i) - 2*h(i). Let z(r) = 2*r**2. Determine z(l(g)).\nAnswer: 162*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 11*j**2 - 9*j + 8. Suppose 156*h - 120*h + 360 = 0. Calculate w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -283894.\nAnswer: 5\/283894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtryn. What is prob of sequence yt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/756 and 41\/96?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40014 and 5130.\nAnswer: 200070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 - 6*b**3 + 6*b**2 + 14*b - 12.\nAnswer: -2*(b - 1)**2*(b + 2)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 242*n**3\/3 + 22*n**2 + 2*n + 15. Determine k, given that w(k) = 0.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26123 - -26130. Let g(u) be the second derivative of -1\/6*u**4 + 1\/21*u**r - 3 - 2*u + 0*u**2 + 1\/15*u**6 + 0*u**3 - 1\/10*u**5. Factor g(t).\nAnswer: 2*t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3216*b**2 - 2 - 3213*b**2 + 27 - 1119*b + 1087*b.\nAnswer: 3*b**2 - 32*b + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/((-3)\/54). Let d = -7 + f. Suppose -10 = d*w - 2*k - 34, -3*w + 41 = -2*k. Solve 0 = 5*t + 4*r + w, -2*r = 2*r + 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9526373*i + 22256 + 9526373*i - 2*i**3 + (-i**2 - i**2 + i**2)*(-2*i + 2*i - i) + 0 - 2*i**3 + 0 as d*i**3 + f*i + m*i**2 + x and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1488 divided by 4\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5760.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) -0.072 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d. Let y be j(-3). Let w = -21553727\/210721 + -3\/30103. Let g = 100 + w. Which is smaller: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*10.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/6)\/((-2)\/4). Suppose d - j = -4. Suppose 15610 = -2*b - 5*k, -d = -k - 3. Round b to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/96 - (3204\/108 + -27).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 24 = 4. Suppose 3*i = -i - a. Let t be 3 + i + (-8702)\/(-1). What is t rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 3*w - 10 = 0. Let d = 5\/2 - w. Solve -1\/4 + d*y - 1\/4*y**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 5*k - 16, -5*j = 5*k - 0 - 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841596 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32404 (base 5) to base 13\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3014 - -15302?\nAnswer: 12266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 + 0.052828.\nAnswer: -34.947172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1073287, -0.02, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75356, -75360, -75356, -75338, -75300, -75236, -75140, -75006?\nAnswer: -74828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998 is divided by 61?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -1. Let d be (-22 + 20)\/((-3)\/(-6)). What is the third smallest value in d, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8784977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + r + 1. Let x(d) = -d**2 - 2. Let i be (-5)\/10 + 5\/2. What is i*y(n) + x(n)?\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g*g\/(g**(-1\/3)\/g)*g))\/g)**13*(g\/(g\/(g*g**(2\/9))))\/g**4)\/((g**(1\/3)*g*g)**(-50)*g**(-3)\/(((g**(-6)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(581\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of ((-682)\/(-4))\/((-18)\/(-36)) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**2 - 9*r + 175. Let a(v) = -15*v**2 - 20*v + 349. Determine -6*a(b) + 13*p(b).\nAnswer: -b**2 + 3*b + 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 625596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 greater than 1617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y. Let l(w) = -2*w**3 - 4*w**2 - 2*w + 1. Let q be l(-2). Let p = -3 + q. Calculate the least common multiple of r(2) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 10:26 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 28\/23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*s + 21 = -3*s, -29 = -4*c + 5*s. Solve 4 = -2*q - 0, 5*q = -k - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56928.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45b (base 15) to base 2\nAnswer: 1111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2321.229 and -229.7.\nAnswer: -2550.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 720, 730, 754, 798, 868, 970?\n\"Answer: k**3 + k**2 + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -22. Let b(y) = -7*y**3 + 3*y**2 + 3*y. Let r be b(n). Let a = r + 222. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = q - 6*q + 90, 4*w - 5*q - 150 = 0. Let k(s) = s**3 + 6*s**2 - 9*s + 6. Let b be k(-7). What is the highest common divisor of w and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2 - 2)*(-2 + 1 - 2)*(2 - 1 + 2)*(4*s + 2*s - 7*s).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25734622?\nAnswer: 2, 12867311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0810370833 and 5?\nAnswer: 5.0810370833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.3 (b) -3 (c) -2678\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -10. Let b(q) = -2*q + 17. Let y(a) = -a + 13. What is the least common multiple of y(4) and b(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28220368 divided by 14110184.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 5*a**3 + a**3)*(23*a + 3 - 2 - 26*a).\nAnswer: 3*a**4 - a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -187? (a) 0.2 (b) -2\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8 + 2\/(-8). Let t be (-12)\/(-9) - 2\/6. Sort t, v, 5 in ascending order.\nAnswer: v, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6 - -9) + -9 - (-37 + 0)) + -13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -6*c + 12*c - 9*c + 1, -8*c = 3*i + 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26079004 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17560957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23732.13 rounded to the nearest 100?\nAnswer: -23700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 = 2. Suppose 25 = -v*n + 4*c, 5*c = 3*n - 8*n - 30. Which is greater: n or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (23 - 24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53929808 divided by -2.\nAnswer: 26964904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (42 + -44)\/(1*(-8)\/4132) is divided by 313.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 15*k + 10. Let x be s(-15). Let c = 31 - x. Suppose c = -8*z + 7*z. Is -21 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3147248.26 and -21.8495.\nAnswer: 3147226.4105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1\/2, 3.4989?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 10*b + 13. Let x be 68\/6 - 28\/(-42). Let h be f(x). Suppose h - 11 = -2*u. Let j(k) = 17*k - 15. Let t(z) = 8*z - 7. Give u*t(q) + 6*j(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -1.77. Let g = f - 0.07. Let n = 9\/8 + -23\/24. Which is the smallest value? (a) -2\/15 (b) n (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 600.061 litres to millilitres.\nAnswer: 600061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 0*f**3 + f**3 - 4*f**2 + 10*f**3.\nAnswer: 11*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13962, 13871, 13752, 13599, 13406, 13167, 12876?\nAnswer: 12527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.1852303 to the nearest integer.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z. Suppose -3*j - 19 = -5*c, -248*c = -252*c + 20. Let y(o) be the second derivative of 1\/4*o**4 + 0 + 12*o + 0*o**j + 0*o**3. What is i(y(n))?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 - 4 = 0. Suppose -i = 1 - o. Suppose 1 = -3*x + 7. Solve x = -r - i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 15*j**2 + 26*j + 4. Let y be r(13). Suppose 2*w = -y*o - 40, -o = -3*w - 5 - 27. Let s(v) = v**3 + 13*v**2 + 12*v + 3. What is s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -10. Let p = v + 4. Suppose -p*z + w + 75 = 0, 0 = 5*z - 2*w - 0*w - 80. What is the remainder when 41 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (15\/(-20) + 1). Put x, 2, -21 in descending order.\nAnswer: 2, x, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 4*h + 5, 9*h - 5 = y + 5*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 31*t - 592 = 0. Calculate the greatest common factor of t and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*f**2 - 4*f.\nAnswer: -f*(f + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 20. Let h = -3.6 - -8.6. Which is the third biggest value? (a) m (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -38*h**2. Let v(g) = -34*g + 4. Calculate v(l(n)).\nAnswer: 1292*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/85 + 10\/17. Let j = -39 - -43. What is the nearest to d in -0.5, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 60 = 534*q - 539*q, 4*q = -4*m + 20 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*u + 31. Suppose -17 = -5*s + u. Solve 4*b - s = o, 3*o + b = 4*b - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:36 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.91 + -44.910000895. Round x to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2\/(-10)*-1). Suppose 4*a + 0*a - 88 = 0. Let d = a - b. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l + 0*l + 9*l - 6*l - 29 + 2*l. What is g(-23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 318 - 161. Suppose 6*x - j = 803. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*s**2 - 184*s + 213*s - 3*s**2 wrt s?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1814*r**3 + 7014*r**3 + 3667*r**3 + 315 - 315.\nAnswer: 8867*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010111000100101110 - -10101001?\nAnswer: 10010111000111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -639.5083 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5211.5 to the nearest 10.\nAnswer: -5210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79940 = -34142*k + 35284*k for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 975, 3922, 8831, 15702, 24535?\n\"Answer: 981*z**2 + 4*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 0.3, 0, -3, 1963?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2316 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5802 - 2593496\/447. Let w = -3566\/2235 + l. Find the common denominator of (-6)\/18 + (-11)\/(-1) and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 2\/9, 0.3 in increasing order.\nAnswer: 2\/9, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50436 plus -2?\nAnswer: -1.49564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11.82+0.4503\nAnswer: 12.2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 10 + 10. Let v be (3 - s\/4) + 1\/4. Suppose -y + v*y = 3. Solve 13 + y = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2581 - 1542. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-56) - 605\/88?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15682289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtuwwfufujstt. Give prob of picking 1 t, 1 j, and 1 s.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29792 and 51224?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -71. Suppose 10*j - 5 = 9*j. Suppose -j*t + k + 46 = 0. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296970549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - 1.09. Which is the closest to r? (a) 2\/23 (b) 0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6264)\/74124*1\/18?\nAnswer: -1\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -242720 in decreasing order.\nAnswer: 3, -5, -242720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3991 - -5673. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, v: 3}. What is prob of sequence vkv?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22851.0305 + -22864. Let o = z + -0.0305. Is -10 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2894786\/25 >= -115792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 - 3*x + 3*x + (1 - 3*x - 1)*(-x**2 + 0*x**2 + 3*x**2).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2811*r + 2843 - 27922 = 5842 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 1 - 11 + 41. Let g be w(13). Solve 5*i = 2*o + 10, 5 + g = -4*i - 2*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**7\/315 + 3*p**5\/40 + 5*p**4\/8 + 2*p**2. Let z(c) be the second derivative of r(c). What is the derivative of z(u) wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556427.\nAnswer: 3, 518809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0923822 rounded to three dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -7*d - 4. Let w(n) = n**3 + 10*n**2 - 8*n + 4. Let q be w(d). Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 24. Let s be 100\/(-26) + -3 - -7. What is the closest to s in r, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 80*j**3 - 12*j**4 - 80*j**3)*(-j + 2*j - 2*j) + 3*j**3 - 3*j**3 - 6*j**5.\nAnswer: 6*j**5 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 + 5. Let u = -0.5 + s. Put -2, 4, u in ascending order.\nAnswer: -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -171354.\nAnswer: 14\/28559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -2*h**4 + 2*h**3\/3 - 20. Does 26 divide f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(320)*1*5 - 6*-1*sqrt(320)).\nAnswer: -88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 35 - 5 = 0. Suppose -h*k + 0*k = 5. Is (-534)\/(-4)*(2\/(-3))\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -416405*q - 1 + 1 + 416432*q. Let g(h) = -h + 10. Calculate u(g(w)).\nAnswer: -27*w + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -77\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 873, 1\/8, -3, -1\/61.\nAnswer: -3, -1\/61, 1\/8, 873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 190) + 209 + 19?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2541 + 2541 + 68*w**2)*(-10991*w - 3 + 6327*w + 5808*w + 3) as u + b*w + k*w**3 + r*w**2 and give k.\nAnswer: 77792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -1\/100?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*d - 873 = -25*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -21 - 13\/5)\/((-32)\/(-160)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*q + 3*x + 2*x, -18 = -4*q - x. Suppose -2*z + 47 = 2*z - q*f, z = f + 11. Suppose -z = -s - 2. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47616, 47623, 47634, 47649, 47668?\n\"Answer: 2*f**2 + f + 47613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbka. What is prob of picking 1 b and 1 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95862?\nAnswer: 2, 3, 13, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2656646588 rounded to the nearest 1000000?\nAnswer: -2657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -622*h + 275. Is n(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/(33\/(-54) + 0). Which is the closest to -1\/2? (a) t (b) -4\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -550 - -558. Let i(b) = -z*b - 7*b + 4*b**2 + 1 + 15*b. Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkuk when four letters picked without replacement from {m: 2, u: 1, k: 2, y: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 55*d**2 - 46. What is the units digit of t(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -74*b**5\/3 + 551*b**4\/9 + 676*b**3\/9 - 233*b**2 + 1072*b\/9 + 20\/9 = 0.\nAnswer: -2, -2\/111, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 5\/3, -7, 0.055, -2\/15, -1\/6, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 1, -5, 3, -2319?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -171*m*n**2 - 5*m*n + 2*n**2 + 2*n + 644 wrt m.\nAnswer: -171*n**2 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 4. Let j be m(-3). Let q(t) = 2 + 4*t**3 - 3 - 3*t**3. Calculate q(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2102*m*x**2 - 2*m*x - 16125589*m - 2*x**2 + x with respect to x.\nAnswer: -4204*m*x - 2*m - 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2830 - 2810. Solve o*y + 32 = -48 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32287841?\nAnswer: 179, 180379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 348884385 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10100\/924150)\/((-4)\/(-6) + -1)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4910)\/(-4)*14\/35 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768253 is divided by 76825.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 0 = b. Suppose 2*z - b = 5*z. What is the remainder when 6 is divided by ((z*4)\/(-2))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280879 times -0.2?\nAnswer: -256175.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11326 and 111642.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = 5*u - 4*u, -5*t + 15 = 5*u. Suppose v - u = 1. What is the third derivative of -11*q**2 + 9*q**2 + 0 + q**v + 0 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*u**3 + 27171*u - 13540*u - 13631*u - 550*u**3 + 276*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8\/3, -227\/5, -15\/67?\nAnswer: -15\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2 - 23)\/(-5). Suppose 2*p = 6*p - r*f - 21, 12 = 3*p - 3*f. Let j(m) = -m**3 + m + 1. Let g(b) = 4*b**3 + b**2 - 2. Calculate p*g(y) - 2*j(y).\nAnswer: -2*y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 845988 a multiple of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06564805 * -3.\nAnswer: -0.19694415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-9) - (-185074)\/123 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 1853853.\nAnswer: 9269265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (258 + -54 + -340)*1\/1.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 42.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -210011112220212021?\nAnswer: -210011112220212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 + 65*q - 129. Give f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2825 - -4142. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.429 + -0.029. Let y = 1.1 + -0.8. Sort -2\/3, r, y.\nAnswer: -2\/3, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -9. Suppose -4*q + a = -q. Suppose -2*u + 4*u = 4. Calculate the remainder when u is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*j - 90*j + 224*j + 64108 = -283*j for j.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 1. Let k be l(1). Let v be 7 + k\/1 + -2. Suppose 5*q - 88 = -5*b + b, -88 = -v*b + 5*q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 11, 18, 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -3*f - 9*b, -b - 122 = -4*f - 125 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14116 - 27*u**3 + 14116.\nAnswer: -27*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 659*z**2 - 4*z - 3. Let n be f(-1). Suppose -15*r + 0*r + n = 0. Calculate the smallest common multiple of r and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19528.366 to the nearest one hundred.\nAnswer: -19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 6*w - 6. Let l be j(1). Solve -5*d = -2*i + 6, 2*d + 7 + l = 3*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 0 + 8 + 2 - 2*p + 21. Let y be x(0). Let c = -9 + y. What is the lowest common multiple of 20 and c?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1222*c + 23961*c - 730307 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10126 (base 8) to base 10\nAnswer: -4182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*v = 22 - 53, 3*v = 5*c - 199. Solve -22*l + 3 + c = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*s + 48. What are the prime factors of 1\/8 - 477\/s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (61\/((-915)\/310))\/(6\/(-9))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**4 + 3*t**2 + 2*t**2 + 6*t - 5*t**2 wrt t.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 7:59 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -564.618.\nAnswer: -559.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 123 + 3\/6*2. Is ((-2)\/(-4))\/(2\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 20\/9, -1\/3, 3, 165\/2 in descending order.\nAnswer: 165\/2, 3, 20\/9, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -4 (c) 3122\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6139500 to the nearest integer?\nAnswer: 2478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h - 1. Let g = 4 + -3. What is the remainder when 29 is divided by u(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*u - 5*u + 10, -5*u + 5*f + 10 = 0. Suppose a - 6*a = 4*t + 1734, -a = u*t + 864. Let y = t - -838. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54205214 (base 6) to base 11.\nAnswer: -9a540a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.18562 and -3?\nAnswer: 3.55686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -110*h**3 + 173*h**2 + 245. Find the second derivative of b(z) wrt z.\nAnswer: -660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17062)\/(-171) + 2\/9. Suppose -12 = -2*b + j. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6de76 (base 16) to base 8.\nAnswer: -1557166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 781229, 1562469, 2343709, 3124949, 3906189, 4687429?\nAnswer: 5468669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50581 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13159 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/763 and -23\/2.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -103*u + 121. Let y be c(1). What is the highest common factor of y and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1212424223 + 0?\nAnswer: -1212424223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 17 = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163\/1435 - 6\/205. Sort -2, o, -253.\nAnswer: -253, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 46*z + 5892. Calculate c(-131).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3 + 6*j**3 + 3*j**2 - 5*j**2 + 0*j**2. Let u be g(3). Suppose 0 = 5*a - 128 - u. What is the greatest common factor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.74478 nanometers to micrometers.\nAnswer: 0.00074478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -1\/2, -0.3, 0.0369, 12, -3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*u - 7, -k = 5 - 1. Solve x + 10 = 2*c, -2*x - 2*c - u = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3527 and -1964.\nAnswer: -5491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 78564 + 26188 + 26189 + 26187 + 0*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t - 20. Let m be f(-10). Suppose 2*s = 12*s - m. Solve -2*p + 3*p = s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let u = -7 - -9. What is the third derivative of -v**6 - 2*v**6 - 3*v**2 + z*v**u wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 (base 6) in base 14?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2291 from -0.45.\nAnswer: -0.6791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 2*j - 5*j + 38 - 7*j. Let x be 1 + ((-60)\/10)\/(-2). Let s be n(x). Sort -3, -4, s in decreasing order.\nAnswer: s, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-15) - 220\/275\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 232.\nAnswer: 1\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20084, -19920, -19756?\n\"Answer: 164*w - 20248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 506 + -502. Is -16.1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13794*m**3*u**3*z**2 + 20*m**3*u**3*z - 126*m**3*u*z - 2*m**3*z - 4*m*u**2*z**2 + m*u**2 - 2*m*z**2 - 3*u*z**2 wrt u.\nAnswer: 82764*m**3*z**2 + 120*m**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-2)*4292\/(-962)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Suppose -4*i + b*r = -12 + 45, -45 = 5*i - 5*r. Let q be (i\/5)\/((-12)\/(-40)). What is the biggest value in q, -1\/6, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-10)\/((-40)\/66))*1\/2\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 12.45?\nAnswer: 11.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.52?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 + 1. Suppose a - 2 = -a. Let j be d(a). Let y = -29 - -28. Sort -2, y, j.\nAnswer: j, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**2 + 52*p + 16*p**3 - 1453*p**4 + 1471*p**4 - 72*p**2 = 0. Calculate p.\nAnswer: -26\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 n when three letters picked without replacement from elpxenmeeexpmlppxe?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 76*x + 67. Is u(26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.654198 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325549365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 25639, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 - 640 = 53*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97 - -69. Calculate the remainder when 9 is divided by 80\/14 - n\/98.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-104)\/6*((-150)\/(-75))\/(4\/6)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -15, -17, 1, 45, 121, 235?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18385500 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1243879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = 0. Let s(q) = -q + 10. Calculate the remainder when 38 is divided by s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 166. Let z = m + -50. Which is the third biggest value? (a) z (b) 1 (c) 0.1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/16)\/(6\/(-8)). Let p = 35.02 + -33. Let i = p - 0.02. Which is the third biggest value? (a) i (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51225 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -470.1 + 0.02\nAnswer: -470.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16048916397 - -0.4\nAnswer: -16048916396.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**11*a)*a*(a\/a**(4\/11))\/a*(a**4)**(7\/11) assuming a is positive.\nAnswer: a**(-86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3*w - 141, 0 = w + w + 4*z - 98. Suppose y = c + w, -4*c + 78 = y + y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*h**2 + 0*h + h + 65*h**2 - 4*h**3 - 16 + 3*h.\nAnswer: -4*(h - 4)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o + 2*o)*(0 - 5 + 2)*(7 + 3 - 6)*(-3*o**3 + 3*o**3 + 2*o**3 - 2) in the form j*o + a + p*o**2 + t*o**4 + q*o**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10602509.\nAnswer: 17, 623677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -123*y - 2234. What is the units digit of f(-73)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 2\/1219 (c) -2 (d) 1945 (e) -2\/5 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 17, 0.014, -51, 5, -0.2 in decreasing order.\nAnswer: 17, 5, 0.1, 0.014, -0.2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.5441946 minutes to weeks.\nAnswer: 0.00124446375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + x - 41, 2*x - x + 3 = 0. Suppose -n*v = 12*v. Which is the biggest value? (a) 0.002 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7213 divide 1138794411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059102\/328 + (-1)\/(-4)?\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 n when four letters picked without replacement from {t: 3, n: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 13919 = s, 0 = -4*j + 7*j + 4*s + 8333. Let l = j - -33337\/12. Find the common denominator of l and 13\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - 3*y - 2*y + 2*y + 2*y - 3*y - 3*y + 6*y - y + (1 + 3 - 5)*(-2*y - 2 + 2) - y - 2*y - y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 28*z + 84, 59 - 39 = -5*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5226.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 24*v**2 + 30*v - 52.\nAnswer: -2*(v - 13)*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.1 (c) -2\/11 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498053 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 41, -898 in increasing order.\nAnswer: -898, 1, 7, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 91*s.\nAnswer: -s*(s - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 c when three letters picked without replacement from {w: 13, c: 3}.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 77, 1\/4, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-74)\/(-1) + (-54)\/(-6) + -5. What is the highest common divisor of 273 and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -742586*s**5\/11 - 11995620*s**4\/11 - 77510160*s**3\/11 - 250417440*s**2\/11 - 404520480*s\/11 - 261382464\/11 = 0. Calculate s.\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109911643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 - 6*y. Let n(l) = 58*l**2 - 25*l + 12. Let j(a) = 169*a**2 - 73*a + 34. Let p(s) = 6*j(s) - 17*n(s). Give 4*p(r) - 9*q(r).\nAnswer: -14*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-64))\/((-40)\/224).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.205 + -0.4\nAnswer: -0.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 16) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 0.04 (c) -0.3 (d) 32\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 3 - 117*a**2.\nAnswer: -117*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 1112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*g + 33*g**2 - 21*g - 28*g**2 + (-g - 2*g + 5*g)*(-2*g - 2 + 2) + 10 - 10 - g - 3*g**2 in the form l + h*g + k*g**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -63 + 8?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4954666705 - 7?\nAnswer: -17.4954666705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 19*k - 87. Let n be f(-10). Solve q = n*w - 7, -1 = -w + 4*q - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -2\/1231 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 2*f**2 + 2*f + 6. Let c be h(3). Let o = -5 + c. Let l(v) = -3*v**3 + 2*v**2 + v - 4. What are the prime factors of l(o)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 364 - 69. Suppose 2*v = -0*y - 2*y + 114, 5*v - 5*y = p. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 7*b**6\/360 - 25*b**4\/24 - b**3\/2 - 13*b**2. Let n(t) be the first derivative of f(t). Differentiate n(h) with respect to h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let t be 4\/(-10) - (-24)\/10. Let u(y) = -5*y + 0*y - t*y + 0*y. What is o(u(z))?\nAnswer: 98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9014052us in days?\nAnswer: 0.000000000079877375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 319*f - 2204. What is l(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*-2*1 + (sqrt(833) - (-2 + (-2 + sqrt(833) - sqrt(833)))))*-5)**2.\nAnswer: -1400*sqrt(17) + 21225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12705 - -13347?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0249289mg?\nAnswer: 24.9289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*j - 684, -4*j = -5*j. What are the prime factors of z?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 2)\/((-8)\/(32\/6)). Let i be (d\/5 - (-2)\/10)\/3. Which is the second biggest value? (a) 1\/2 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.09 (b) 8 (c) -61 (d) -0.093 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3671616 is divided by 16391?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a minute in seconds?\nAnswer: 684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2\/2 + 4*z - 5. Let o = 32 - 30. Let r(a) = 6*a + 21. Calculate o*r(u) - 11*c(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22203 and 27090.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1091 by 1277.\nAnswer: 1091\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -207 and 1.9.\nAnswer: -205.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 4. Let m = -302 + 333. What is the remainder when m is divided by y(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3293, 6557, 9843, 13157, 16505, 19893, 23327, 26813?\n\"Answer: o**3 + 5*o**2 + 3242*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/5 + 12*q**3\/5 + 47*q**2\/5 + 12*q = 0. What is q?\nAnswer: -5, -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (2 - 7) - 4. Let v(r) = -r**3 - 2*r**2 + r - 5. Give v(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -42, -168, -406, -792, -1362, -2152, -3198?\nAnswer: -4536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*z**3 + 31*z**4 - 9*z**3 + 0*z**3 + (-2*z**4 + 0*z**4 + z**4)*(0 - 1 - 1) + z**2 + 2*z**4 - z**2 + 2*z**4 - 2*z**4 + z**4.\nAnswer: 36*z**4 + 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*w**3 + 0*w + 0*w.\nAnswer: -129*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/423 and -13\/81.\nAnswer: 3807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -710*c**3 - 18*c**2 - 472 with respect to c.\nAnswer: -2130*c**2 - 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-2)*(1 - 3). Suppose -5*q + 2*n = -31, -5*q + q - 5*n + 38 = 0. Let h(b) = o*b**2 - q*b**2 + 3*b**2. Let x(k) = -2*k**2. Give h(x(v)).\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 3. What is u(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -x, 0 = l + 2*x + 5 - 0. Let i be (5 + 9)*l\/6. Let z(b) = b + 7*b - 10*b + 4. Let q(m) = 3*m - 6. What is i*z(j) - 5*q(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 5201 = 5089 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*o**3 - 187*o**3 - 826*o**3 + 762*o**3.\nAnswer: -753*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8696 - -8750. What is the greatest common factor of l and 2832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 5:15 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l + 138*l - 50*l)*(10*l + 6*l - 13*l).\nAnswer: 186*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2 - -1)) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*s - 762 - 632. Solve 171 = s*x + 239 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (37 - 73)) + -41.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2. Let n(x) be the second derivative of 0*x**3 + 1\/4*x**4 - 6*x + 0*x**2 + 0. Calculate n(u(q)).\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**5 + 10*b**3 - 27*b + 5?\nAnswer: -220*b**3 + 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -4*l + 154 - 248, 28*f - 5*l - 1039 = 0 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 161*t - 161*t + 2*t**3 + (7*t**3 + 0*t**3 - 3*t**3)*(6 - 8 + 11).\nAnswer: 38*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 6*f**2 + f + 5. Give w(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1503 + -671?\nAnswer: -2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100000110?\nAnswer: -100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1168568 and 24037?\nAnswer: 15191384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44472299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -18496 - (-57)\/38*(-16)\/6. What is s rounded to the nearest one hundred?\nAnswer: -18500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + -1 - (-42 - -52).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*m - 13*m + m**2 + 2*m**2 to the form q*m + g + i*m**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k - u - 425 = 0, 5*k + 1070 = -4*u. Let z be -1 - k\/56*4\/10. Find c such that 3\/2*c**2 + c + z*c**3 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - (5 + -5)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.034 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:23 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/4 + 9*v**3\/2 - 15*v**2\/4 = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/9, 0.2, -4, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5484*u**2 + 3902.\nAnswer: -10968*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 75.\nAnswer: -3075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 8, y: 2}. What is prob of picking 1 g, 1 y, and 2 u?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068 less than -1081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -14. Let j(u) = -2*u**3 + 1 - f + 4. Let v(s) = -5 + 3*s**3 + 0*s**3 - 7*s**3. Calculate -5*j(b) + 3*v(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 738*b - 26 + 736*b - 1500*b.\nAnswer: -26*b - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 982*a**2\/5 + 11892*a\/5 - 35784\/5.\nAnswer: -(a - 6)**2*(a + 994)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4634 - -4632. Let k be 7\/(-6) + ((-84)\/(-18) - 4). Which is the nearest to k? (a) t (b) 4 (c) 3 (d) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 6, -449 in descending order.\nAnswer: 116, 6, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1)*0 - (-1728)\/36. Suppose -3*d = -4*d + 6. Calculate the greatest common divisor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37113? (a) 2 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 330970850463.\nAnswer: -330970850468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*u - 5. What is the units digit of u\/(45\/(-6))*-33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - -14.63. Let u = -10.5 + t. What is the second smallest value in -0.4, u, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-36\/7)\/((u\/(u**(3\/2)*u))\/u**(-31)) assuming u is positive.\nAnswer: u**(-485\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 351*k - 176*k + 39 - 163*k)*(0 - 1 + 3)*(2 + 0 - 6) to g + h*k and give g.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1)\/v)**(-36)\/(v**(-5)*v**(1\/6)))**28)**(1\/21) assuming v is positive.\nAnswer: v**(922\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173 and -0.8.\nAnswer: 138.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 10}. What is prob of sequence vz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-53)\/(-7) + -2*14\/49 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(0 + 3) + 4605. Is v\/5 - 14\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -0.4, -0.6, -0.218, 0.2?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4621.\nAnswer: 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1571\/6 + -1573\/6. What is the third biggest value in 0, -6, -37, 13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100222012021120001 - -1?\nAnswer: 100222012021120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -181140068*l + 326326741 with respect to l.\nAnswer: -181140068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2970 and 4125.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -1. Let s = 0.2 - z. Let p = 0.1 - s. Is p bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174240?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 230 = 12. Let j(p) = 24*p - 48*p + m + 30*p. Let w be j(-3). Let z(v) = 2*v - 9. What is z(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 3 - 1 + 4*i)*(3*i**3 - 4*i**3 - i**3)*(-9*i - i + 3*i).\nAnswer: 28*i**5 + 28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 438\/(-36)*1*3*8658\/(-4329)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-675)*10)\/(12\/10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862656 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 2 - 6. Let a be -4 + c + 3 + -3. Let y be (-3 - a - 2) + 3. Solve v = -0*v - y, -4*t = -2*v - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 2*i - i - 2*i)*(-17793 - 1358 + 794).\nAnswer: -18357*i**2 + 18357*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-120) - (62\/651 + 31\/(-105)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6373, -54.5, 6, -0.4 in descending order.\nAnswer: 6, -0.4, -54.5, -6373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -60120.41 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1156411 (base 8) to base 16.\nAnswer: 4dd09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983315097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggnmgg. What is prob of sequence gmg?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2224, -17613, -59292, -140383, -274008?\nAnswer: -473289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/7)*r**(-1)*r)\/(r\/(r*r\/r**(-3))*r*(r\/(r\/(r\/((r*r**5)\/r))))\/r))\/(r**(-2\/19)*r**(-2))**(-4\/7) assuming r is positive.\nAnswer: r**(923\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/5))**(-46))**36\/(m**(-2\/13)\/m*m*m\/(m\/m**(2\/5)*m)*m*m*(m*m**0)**(-11\/2)) assuming m is positive.\nAnswer: m**(-42503\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5263 or 5260?\nAnswer: 5260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/8184 and -73\/184140?\nAnswer: 368280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -2*b - 5 - b**2 + 1\/2*b**4 + 1\/10*b**5 + 1\/2*b**3. Factor v(r).\nAnswer: (r - 1)*(r + 1)*(r + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:48 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76\/57 - 2*80\/(-420). Find g such that 0 - s*g**3 + 16\/7*g + 4\/7*g**5 - 16\/7*g**2 + 8\/7*g**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-2\/7)*v))**3\/((((v\/(v*v**(4\/5)*v))\/v)\/v)\/(v*v**(3\/2))) assuming v is positive.\nAnswer: v**(291\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.157729 - 0.5\nAnswer: -0.657729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73335 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -321\/8777251?\nAnswer: -321\/8777251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((112\/12 - 4) + -4)*3\/2. Let d(l) = 11*l + 4. Let h be d(2). Solve -4*i = q - 9 + h, -2*q - 4 = -x*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27114 and 30.\nAnswer: 135570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + 0*m + (5*m + 1 - 1)*(2 - 2 - 1) + m - m - 2*m)*(6 + 0 - 1)*(-4 + 1 + 1).\nAnswer: 60*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*y - 811, 3*y = m + 434 + 39. Suppose -2*a + y = a. Suppose -50*v + 189 = -43*v. What is the remainder when a is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lldddldldlddlddddld. What is prob of sequence ld?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 - 86476*a + 0*a**2 + 85923*a - 3*a**2.\nAnswer: -3*a**2 - 553*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 4*r**3 + 0*r**3 - 3*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.800261 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -2\/5*d**6 - d**4 + 11\/10*d**5 + 0*d**3 + 34*d + 1\/21*d**7 + 0 + 0*d**2. Find v such that w(v) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7284387 - 0.2.\nAnswer: 7284386.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 20, -c - w - 2 + 4 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -650637, -2 in decreasing order.\nAnswer: 5, -2, -650637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 - 4*s + s**3 + 2*s wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49637, -99287, -148937, -198587?\nAnswer: -248237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 4*r - r + 1.\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730 = 4*g - 194. What are the prime factors of g?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.036 - -3.964. Which is the smallest value? (a) k (b) 1\/9 (c) -2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) + sqrt(84) + 1*sqrt(84) - sqrt(84))*-3)\/(6*-2*sqrt(12))*-4.\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 5:00 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -33. Suppose 3*j = 3*m + 6, 4*m = -2*j - 0*m + b. Suppose -3*v + j = -6. Calculate the least common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 15) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3999*p + 1302. Let f(g) = -37*g + 12. Let j(r) = 217*f(r) - 2*i(r). Let s(n) = 3*n**2 + n. Determine j(s(h)).\nAnswer: -93*h**2 - 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3206 - 101?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49322517*d - 2953264?\nAnswer: -49322517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 140 + 5?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u. Suppose u = 3*x - 8*x + 35. Let y = 22 + -12. What is the smallest common multiple of y and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 6*v - 14. Let w be z(-8). Suppose -2*l - 2*j + 57 = -j, w*l - 67 = j. Let b = 73 - l. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 204193.25329849.\nAnswer: 204196.25329849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122022011 - -12022102?\nAnswer: 1211121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**2 - 46\/3*w**3 + 0*w - 3 + 0*w**4 - 5*w**5. What is the third derivative of s(h) wrt h?\nAnswer: -600*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451377287\/301496 + -11\/37687. Let u = q - 1504. Let p = u + 425\/56. Calculate the common denominator of p and 7\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7537100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/(-6) + 105\/30. What is the third biggest value in 1, -6, k, 2\/87?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1409 + 1069 = -152*u - 999 - 1235 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11237 - 4?\nAnswer: 11233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -969*i**2*y**3 - 3*i**2 + 142*y**2 wrt y.\nAnswer: -5814*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1764\/(-112) - 3\/12) + 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -253\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -740 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3045 * 26619.\nAnswer: -81054855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45299914 is divided by 1927?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 4*t + 3*n, 2*t + 0*n = -n + 111. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -647 + 1709. Let q = x + -1062.000003715. Round q to 7 decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x + 160 - 146 + 7*x**2 - 32*x. List the prime factors of b(12).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.748 - 2.048. Which is the third smallest value? (a) -1\/63 (b) k (c) 5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 134249 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.17396 + 0.17396. What is the nearest to 1 in 0.17, d, 2, 15?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(187)*-1 - sqrt(187)) + sqrt(187) + (sqrt(187) + (3*sqrt(187)*-2 - sqrt(187)) - sqrt(187)))\/(sqrt(1100)*2*-1).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 + -5. Let c = -1 - h. Let g = -0.1 - c. What is the nearest to g in 0.5, -5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*b**2*k - 96*b**2 - b*k - 7432 wrt b.\nAnswer: -254*k - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 3*j**2 - 5*j - 5. Let c be p(-4). Suppose -11*o + 300 + 371 = 0. Let h = c - o. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.83570667 rounded to four decimal places?\nAnswer: 4.8357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-144)*4)\/(2\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/sqrt(5)*6)\/(-3*sqrt(22)\/sqrt(2)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - t = -48, 3*c - 4*t + 97 = c - 67 + 64 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**5\/60 + x**4\/8 + x**3\/2 - 2*x**2. Suppose -10*t = -8*t + 5*y + 10, 5*t - 33 = 2*y. What is o(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0 (c) -62 (d) 0.04 (e) 0.4 (f) 0.06 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13672 rounded to 3 dps?\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -114, -91, -56, -3, 74, 181?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*y - 35*y + 44 = 29*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)*p)\/(p**(-1)\/p*p*p*p*p)*(p*(p*p**(2\/7)\/p*p*p*p*p*p)\/p)\/(p\/(p*p**(-3\/7)*p)*p) assuming p is positive.\nAnswer: p**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14940 and 266430.\nAnswer: 1598580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5883 and 9657?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a hour in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -160*u - 319. Is 16 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216877 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/72 + 43*s**3\/36 - 95*s**2\/6 - 3517*s. Factor r(l).\nAnswer: -(l - 38)*(l - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:23 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 99 + 5\/2*b**2 - b**3 + 81*b. Differentiate w(g) wrt g.\nAnswer: -6*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 93 - 84 + 177. Let u(a) = 1 + 11*a + 6*a + 23*a - 72*a + 3*a. Give u(t(c)).\nAnswer: 29*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-9)\/(-80))\/3)\/(882\/735))\/(-1)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 - 5*o + 3. Let l(h) = 79 - 8*h + 13*h**2 - 38 - 36 - h. Give 5*k(c) - 3*l(c).\nAnswer: -9*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:20 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15352.61 - -15352. Which is the closest to -0.1? (a) z (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 5*c**3 + c**3 + (-7*c**2 + 2*c**2 + 3*c**2)*(-2 + 2 + 2*c) + 14*c**3 + 12*c - 8*c**3 - 4*c**3.\nAnswer: -4*c**3 + 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + b, 0*g = 3*g + 5*b. Let x be 2 + 0*1\/(-2). Let f(k) = -x + 10 + 4*k - 6*k + k. Give f(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/213118920 and 16\/207.\nAnswer: 213118920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y. Let w(n) be the second derivative of 35*n**3\/3 + 27*n. Determine w(m(d)).\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47, 67, 85, 101, 115, 127?\n\"Answer: -w**2 + 23*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 46 = -17*m + 19*m, -5*z - 40 = -5*m. Suppose -39 = -2*t + j - 2*j, 3*t - 51 = j. Let i = m + t. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1501 + 1504. Which is the closest to -0.2? (a) -1\/4 (b) -6 (c) -0.5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 277 = 2*h, -5*h = 3*v - 688. What is the highest common factor of 12193 and h?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16224*i - 210934. Calculate q(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 + 10*n + 13. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o + 8 + 2 - 10.\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12649 + -12499. Calculate the lowest common multiple of ((-2)\/(-4) + -2)*-18 and k.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 81 = 5*p. Let r = -33 + p. Suppose 4*s + r*v - 52 = 0, 4*s + 2*v - 47 - 7 = 0. Solve 5*i = -m - 14 - s, -4*i - m - 23 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 4572*u\/7 + 2612898\/7.\nAnswer: 2*(u - 1143)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134117943 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and 89\/2416?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4049693 less than -4049694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*j. Let i = -9 - -19.3. Let s = i - 10. Put j, -0.1, s in ascending order.\nAnswer: -0.1, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from epbbpboib?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -9\/5 (c) 0.04 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 100 + 40 = -5*m, 5*n + 3*m = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 + 299618499164?\nAnswer: 299618499096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -237, 10, -22 in decreasing order.\nAnswer: 10, -1, -22, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = 2*c - 38*i - 10, -i = -21*c + 105. Which is bigger: c or -226?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 3768\/2531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6716 + 6716. Suppose k - 4*s + 18 = 0, -4*k + 3*s + 3 - 23 = 0. What is the third biggest value in p, k, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25139 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*n + 99*n + 198*n.\nAnswer: 646*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6*v + 5 - 5 + 19 in the form y*v + c and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -24*k - 48. Let n be y(-2). What is the third derivative of -5*t**4 + n*t**4 + 102*t**2 + 4*t**4 + 2*t**4 + 0*t**6 - 2*t**6 wrt t?\nAnswer: -240*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 378\/77 + 1\/33*3. Let w(f) be the second derivative of -1\/2*f**2 - 1\/5*f**l - 5\/6*f**3 + 0 + 3*f - 2\/3*f**4. Suppose w(b) = 0. What is b?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15360.7 plus -7?\nAnswer: -15367.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3\/7 (c) 76.8 (d) -5 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 4*b**2 - 3*b + 1. Suppose 49 = 3*i - 0*g - g, -4*i + 69 = -5*g. Let h be (8\/i)\/((-1)\/(-6)) + -1. Determine x(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -36*v**3 + 3*v**2 - 4*v + 1. Let w be h(1). Let s be (-60)\/w + 1\/1. Which is smaller: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -497\/4 - -126. Is -3 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194944\/3 or -64982?\nAnswer: -64982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiyqiqiiyii. What is prob of sequence yqi?\nAnswer: 14\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110216 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -13*k + 100. Calculate l(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.06 - 8.319?\nAnswer: -11.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6*8\/(-120))\/(-6 + 1616\/280). Determine m, given that 23\/4*m**2 - p*m**3 + 1 - 5*m = 0.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-136)\/62 + (-1 - -3). Suppose -15*v + 46 = 20 + 71. What is the smallest value in 4, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 188 and 90.\nAnswer: 16920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147335.\nAnswer: 5, 79, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204585 is divided by 204554?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 16. Let a(m) = 7*m - 7. Let t(o) = 3*o - 3. What is z*a(j) - 5*t(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrssvvpzvvst. What is prob of picking 1 z and 1 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + 2*m)*(-2 + 5 - 2) - m + 3*m - 4*m + (-1 - 2 + 1)*(2*m - 5*m + 2*m) - 2*m - 2*m + 5*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + 1. Suppose -4*n - q = -70. Factor 1\/8*b**3 + 1\/8*b**5 + 0 - 1\/4*b**n + 0*b + 0*b**2.\nAnswer: b**3*(b - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 10*j**2 + 2. Let s be y(-10). Let 3*x**2 + 6*x**s - 7*x**2 - 4*x = 0. What is x?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v + 1\/6*v**3 + 0 + 0*v**2. Let y(h) = 3*h**2 - 2*h**2 - 3*h**2. Determine y(f(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17328 + 2.\nAnswer: -17326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**7\/14 - 19*o**6\/30 + 163*o**4\/6 - 8*o. Find the third derivative of d(q) wrt q.\nAnswer: -180*q**2 - 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725955 is divided by 197.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2) + -17 + 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**2 + 3*c**2 + c**2)*(-3*c - 19 - c + 2*c) to b*c**3 + v*c + w*c**2 + n and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 6) to base 4\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 - -73?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, i: 1, h: 1, e: 3, r: 4, a: 3}. Give prob of sequence rrh.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 22658, -5, 3 in increasing order.\nAnswer: -5, 3, 22658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = 3*a, 0 = 5*p - 2*a - 68. Suppose 0 = 29*f - 20*f. What is the remainder when 133 is divided by f\/(-2) + p + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5041 - -5040. Let f(k) = 5*k + 2. Give f(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/sqrt(44))\/(sqrt(192) - (sqrt(192) + -1*sqrt(192)))*5 + 0)**2*5.\nAnswer: 875\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {f: 2, l: 1, n: 5, m: 2, i: 3, t: 6}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3*74\/3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*c + 24 - 255 - 517 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - 17\/(-5). What is the remainder when 70 is divided by (2 + 6)*1*s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1603359, -1605335, -1607313, -1609293, -1611275, -1613259, -1615245?\n\"Answer: -k**2 - 1973*k - 1601385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45033?\nAnswer: 3, 17, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.1 + 9. Suppose 1 = d + 5. Let c be (-2)\/d + (-2 - -1). Put c, -2\/3, b in descending order.\nAnswer: b, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 14*f - 26. Let p be u(2). What is the units digit of (2\/p)\/(5 - 35044\/7008)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**3 - g**2 - 2*g + 2. Let h be n(1). Let u be 46*((-18)\/h + 0). Suppose -2*r - r - 3*c = -u, -2*r - 3*c = -139. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 4*h + 0*h)*(0*h**2 - h**2 - h**2 + (7*h**2 - 2*h**2 + 3*h**2)*(-2 + 4 - 1)) in the form c*h + t*h**3 + k + z*h**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3\/(6\/(-4)). Solve m*f - 5 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 14*j**2 - j + 16. What is y(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111 (base 2) in base 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21 and 136655.05?\nAnswer: 136634.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*v = 10, -7668*v + 7663*v = -5 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 3*i - 1. Let s be p(2). Let k = 15.9 - 17. Let t = k - -0.1. Which is the biggest value? (a) -0.2 (b) t (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 2. Let y(w) be the second derivative of -w**3\/3 + 3*w**2\/2 + 498*w. What is 4*o(j) - 5*y(j)?\nAnswer: 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(7) + -3 + 4 + sqrt(7))**2 - sqrt(7)).\nAnswer: 3*sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0361088 centimeters in millimeters?\nAnswer: 0.361088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*t - 305, -3*n = 5*t - 250 + 54. Let i(r) = r**2 - 3*r - 40. Let k be i(0). Let a = k + n. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 114. Let z(c) be the third derivative of -c**p - 1\/270*c**5 + 1\/108*c**4 + 0*c + 0*c**3 + 0. Solve z(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (203\/14)\/((-1)\/(-2) + 0). Calculate the highest common divisor of 58 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 - -60. Let q = 49 - n. Let p = q + -16. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(33 + -2 + 6). Let s = v - 134. List the prime factors of (-262)\/(-5) + 24\/s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294\/(-48)*(-508)\/889\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.25. Let v = 0.03 - -0.04. Let g = v - i. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.4 and 0.114.\nAnswer: -1.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2714 and 3280582.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4992*m**2 - 92740*m wrt m.\nAnswer: 9984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 - 42*v - 2449. Give s(-12).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/6 (c) -4 (d) -17 (e) 1\/8 (f) -0.6 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/51 + 3855\/(-255) + -15. Suppose -3*f - 165 = 2*f. Are o and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 320\/25 - 1\/(-90)*-9*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**2 + 2*d - 1. Let o be f(1). Let g(s) = 2*s**2 + 2*s + 32. Let w be g(6). Is ((-184)\/16)\/(o\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1535 + 126*g - 223*g + 99*g to p*g + b and give b.\nAnswer: -1535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-13 - -6) - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 11:23 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11042224 (base 5) to base 11\nAnswer: -66606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 13*l + 10. Let f = -56 - -59. Suppose 4*g - 4*v = 2*g - 18, 0 = f*v + 3. Determine o(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8806\/(-518))\/(3\/(-6*(-18)\/12))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1171*-43117.\nAnswer: 5049.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.31 - 2.31. Let j be (-2)\/(-8) + 91\/(-28). Let w = j - -4. Which is the nearest to w? (a) 0.3 (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237587224 and 4?\nAnswer: 237587224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {c: 8, x: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 + 4*l + 2. Let u be t(-2). Let h be u\/(-4)*-1*2. Suppose 13*d - 40 - 51 = 0. Is d != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/4 - 130*n + 3380.\nAnswer: 5*(n - 52)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202 + -110212012?\nAnswer: -110221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00188581526 rounded to 7 decimal places?\nAnswer: -0.0018858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4334, 8672, 13010, 17348, 21686?\n\"Answer: 4338*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21852, -431, -4 in descending order.\nAnswer: 21852, -4, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76 + 56 + 48)*(-3*y**2 + 13 - 13)*(3*y + y - 3*y + (2 + 0 - 3)*(0 + 2*y + 0)) in the form f*y**3 + g + m*y**2 + r*y and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-1)\/(-6))\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-6 + 5) - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 41*x - 386 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 438328 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25249\/10 + -2517. What is the common denominator of -5\/59 and x?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88893882 divided by 8081262?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 0*z = -z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666*i + 273*i = 227*i + 33197 + 2143 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o*z - 11393*o + 13*z**3 + 220533*z**2 + 13*z + 20 wrt z?\nAnswer: 3*o + 39*z**2 + 441066*z + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 786 = -44*a + 205*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/64)*c**(-37) assuming c is positive.\nAnswer: c**(-2369\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2198 and -7\/314?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 0*g**2 - 7*g**2 + (6 + 3*g - 6)*(g + 3*g - 2*g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 57*s - 270. Let x be z(6). What is the greatest common factor of x and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5391 + 2183357\/405. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 437 + -434. Suppose 4*a + 4*w = 44, b*w - 2 - 3 = a. Calculate the remainder when 11 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczpcfpzzzppczzpzpz. What is prob of picking 2 c?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Let l = -0.0514 - 0.1666. Let i = l + -1.782. What is the smallest value in f, i, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/48 and -47\/97748?\nAnswer: 1172976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-14)*(-8648)\/10810?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10131133 - -3?\nAnswer: 10131202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000143856 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4696 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944680063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, g: 2}. What is prob of sequence gg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1050 and 8208480?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w + 36. Let i be z(3). Let m(c) = -c**3 + 6*c**2 - 8*c + 4. Let v be m(i). Solve 3*q - 4 = v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1704650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/20)\/(3\/(-5)). Let h = 412 + -412. Let w = -0.04 - -0.64. Which is the closest to s? (a) w (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 971 - 478. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*w + 43 = 5*b, 3*w + 29 = 5*b. Let i(y) = 2*y**2 - 8*y - 14. Let l be i(b). Suppose l*x - 600 = 23*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/(-8))\/((-688)\/(-172))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 3:05 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95.47456 + -0.072.\nAnswer: 95.40256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0 = 3*y + 7, -5*y = -2*g + 5. Let t be -1 + 3 - (1 - y). Let r(q) = -3*q + 3 - 4 + t*q. Determine r(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 28621941*y + 2. Let a(n) = 8*n**2. Determine p(a(t)).\nAnswer: 228975528*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 12:04 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(3*sqrt(243) + sqrt(243) - sqrt(243)).\nAnswer: sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyap. Give prob of sequence ay.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*l - 11830 - 19018. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 634469\/40 + -15863. Let s = -146000 - -16059889\/110. Calculate the common denominator of s and n.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -174, -647, -1704, -3639, -6746, -11319, -17652, -26039?\n\"Answer: -49*t**3 + 2*t**2 - 136*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2123 + -144216.\nAnswer: -146339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**3 + 6*m**2 - 9*m + 7. Give r(3).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/28 - (-3493)\/(-49). Let s = 83 + d. Suppose 0 = s*h - 16 + 28. Sort h, 3.1, -0.2 in decreasing order.\nAnswer: 3.1, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1 - 116765\/847. Which is bigger: -134 or w?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(231\/28)*12\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 482048492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = f + 4*a, 3*f + 31 = 3*a - 5. Calculate the common denominator of (-6)\/44*f\/(-12) and 92\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 161 = 2*n, 0*n - 3*v - 94 = -n. Suppose -5*r - n + 220 = 0. Let j = -9 + r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:26 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 32 = 7. Let h = -4 + f. Which is the nearest to h? (a) -2\/15 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4)*j)**(-2\/29)*j**(-1\/7)*j**(-11) assuming j is positive.\nAnswer: j**(-2346\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 400. Let y be p(-57). Suppose b = -3*b + 12. What is the fourth smallest value in 1\/7, y, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (0\/(-32) - 3\/(-6))*(-64266)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**4 + 11*s + 2\/5*s**5 - 19 + 0*s**3 + 2\/15*s**6 + 0*s**2. Let w(t) be the first derivative of p(t). Factor w(v).\nAnswer: 4*v**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 166, 355, 614, 943, 1342, 1811?\n\"Answer: 35*s**2 + 14*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:51 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b - 6*b + 37*b)*((1 + 3 + 11)*(b - 8*b - b) + 5*b + 0*b - 3*b) to p + s*b**2 + a*b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(((g*g**(-1))\/g*g)\/g*g*g)*g*g)**28\/((g*g*g**(2\/11)*g*g*g)\/g*g\/(g**0\/g)))\/((g**(-1)*g)**12\/(g**(-2\/7))**14) assuming g is positive.\nAnswer: g**(504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 11) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000000000101 (base 2) to base 4.\nAnswer: -10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 8*u + 30. Let g be d(9). Calculate the highest common factor of g and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c10c (base 15) to base 9\nAnswer: -487083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 32*p**2 + 33*p + 74. Let q be o(-31). Solve 5*l = -15, -2*s + 15*l = q*l - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6929475*q**3 + 37*q**2 + 522256607*q wrt q?\nAnswer: 41576850*q + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1217.5 - -1217. What is the second smallest value in 0.4, 14, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199.7 + -11.3. Let l = -207 - j. Which is the smallest value? (a) 0.2 (b) -2\/11 (c) l (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788 and 998030.\nAnswer: 393223820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31693 + 24?\nAnswer: 31707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 16) to base 9\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21633749 is divided by 2072?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9418 - -0.0582. Which is the fourth biggest value? (a) -5 (b) -7 (c) 5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4121330 - 45015?\nAnswer: 4032311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 371, 372, 373, 374?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) 4 (c) 14 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*-2*6 - (5 + sqrt(8)\/sqrt(4))**2) + (sqrt(2) + sqrt(2) + (sqrt(8)\/sqrt(4) + 3 - sqrt(2)) - 1*(2 + sqrt(2) - sqrt(2))) + -2.\nAnswer: -28 - 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1365130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c + 4ea9de?\nAnswer: 4ea992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 83*k**3 + 166*k - 166. Let r(h) = -h**3 + h - 1. Calculate 3*q(c) - 498*r(c).\nAnswer: 747*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/512 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*m + 4. Which is smaller: m or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 24112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 3, a: 6, f: 2}. What is prob of sequence lulu?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -189 + 193. Suppose -z + 47 = 5*h, -r*h = -z + h + 37. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 12 = -4*o, -19*o + 2*z + 12 = -9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**37\/i**(-31))\/((i*i**(-14))\/i)**30 assuming i is positive.\nAnswer: i**488","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 250*b - 194*b - 728 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -14*j**3 + 26*j**2 + 11*j. Let x(o) = -5*o**3 + 9*o**2 + 4*o. Calculate -4*m(i) + 11*x(i).\nAnswer: i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73, 72, 71, 70?\n\"Answer: -u + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1331 = 5*t, 0*t = 5*t - 5*i - 1330. What are the prime factors of t?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222301033 + 4?\nAnswer: 222301042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s + 5. Let w be c(-3). Let q = w + -20. Suppose -6*y + 3*y + 117 = q. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1240, 1237, 1242, 1261, 1300?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*j + 4. Let m be 3\/9 + 100\/(-12). Let p be (m\/j)\/(2\/(-27)). What is the highest common divisor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3*x*x**(-16)*((x*x*x**(-18))\/x*x)\/(x\/((x\/x**(-1\/7)*x*x)\/x)) assuming x is positive.\nAnswer: x**(-188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from xxxexexexxxx.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11616 + 11616 + 30*w**2 - 20*w**3 - 15*w**2 - 15*w**2.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 225 (c) -0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 5 - 1 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(sqrt(204)*1 + sqrt(204)) - sqrt(204))\/(sqrt(12) - 1*sqrt(1452)).\nAnswer: 21*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c + 2. Let d be w(0). Find the common denominator of d\/(-20)*(-132 + -10) - 3 and (35\/(-12) - -2)*-7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:41 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -80?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2996*k + 37. Suppose -2*c - 22 = -y, 4*c + y + 6 = -38. Is r(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/16 + 564\/144.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.5 and 0.5.\nAnswer: -15.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1457067181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8317053 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14818639 at most as big as 14818600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**5\/6 + 8*x**4\/3 + 9*x**3\/2 - 23*x**2\/3 + 4*x\/3 = 0.\nAnswer: -2, 0, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2376 and 29048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/207*6\/(-2). Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 178 + 2638 = 0. Let f = b - 6152\/15. Suppose -3*x = x - 3*t - 23, t = 2*x - 9. Put 0, x, 1, f in ascending order.\nAnswer: f, 0, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/170)\/(2*369\/120).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531453120 to the nearest integer?\nAnswer: 23053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58917, -117834, -176751?\nAnswer: -235668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 smaller than -92\/223857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 - -171. Let k = 89 - b. 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 x be 22\/(-8) - (-8 - -5). Let u = 13.1 - 64.9. Let q = u - -52. What is the closest to q in -4, x, 2\/15?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -146*i. Let c(r) = -3*r**2 - 432*r - 20. What is c(s(k))?\nAnswer: -63948*k**2 + 63072*k - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - -63)*1\/2. Let j = d + -38. Put -1, j, 2 in ascending order.\nAnswer: j, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.91 - 0.09. Let m = 4 + x. Let a = 124 + -123.5. Put a, 0.4, m in decreasing order.\nAnswer: a, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-4)\/(-3))\/(223808\/(-3228)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (87\/2)\/(-3 - 45\/(-10)). Suppose z*h = 9260 + 11040. Is 64 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/5445)\/(17\/(-153))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p = -38*p - 5*t - 3, -5*p - 2*t - 18 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8366557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 44*g + 369. Let i = 1 - 1. Calculate the remainder when i\/(-1) - (-2 - 29) is divided by y(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6734.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 14*v + 20. Let k be i(14). Is (-55)\/(-2)*40\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.4 - 9. Let c = 1126 - 1130. Sort -14, b, -3\/5, c in ascending order.\nAnswer: -14, c, -3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12961 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -14. Let w(g) = 5. Let i(q) = -11*w(q) - 4*x(q). Let c(l) = -257*l + 9. Let s(j) = -308*j + 10. Let t(r) = 6*c(r) - 5*s(r). What is 5*i(f) - t(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -2 + -1 - ((-6 - 13) + 21).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/(-2)*12\/(-10). What is the third smallest value in 3, t, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(8)\/sqrt(4) + sqrt(2))*5.\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 + 87. Suppose 20*b - 8 = -s. Factor b - 3\/2*q**2 + 0*q.\nAnswer: -3*q**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 93242, 92252, 91260, 90266, 89270?\n\"Answer: -z**2 - 987*z + 94230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -337*z**5\/2 + 6327*z**2\/2 - 7*z - 120. Differentiate q(a) wrt a.\nAnswer: -10110*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 15196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3619.526827 + -3617.776. Let p = q + -1.7598. Let w = p + 0.009. What is w rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5269*m**5 + 3*m**4 + 2*m**3 + 125*m**2 + 365*m wrt m.\nAnswer: -316140*m**2 + 72*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 0.3 (c) -0.3 (d) -0.0352 (e) 0.2 (f) -9 (g) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*(-28)\/24*2. Let z = -13 - -27. Calculate the highest common factor of a and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 47 - (4558 + -4612).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 35, 5, -83, -259, -553, -995, -1615, -2443?\n\"Answer: -5*k**3 + k**2 + 2*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 24 (b) 57\/272 (c) -2\/5 (d) -2 (e) -10 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13604013763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 283*c**3 - 6*c + 6*c.\nAnswer: 283*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4 + o**3 + o**2*z - 108137*o**2 + 88*o*z + 121*o - 2*z - 3 wrt o.\nAnswer: -12*o**2 + 6*o + 2*z - 216274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 255\/(-65))*-2. Let j(x) = x**3 + 4*x**2 - 4. Let h be j(-4). Let y = h - -3. Do y and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:31 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7640?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -93*a**3 + 5*a**2 - a - 7. What is the remainder when u(-1) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 180\/(-6) - (2 - 4). Let j = -9 - b. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6))**0*(m*m*m**8)\/m**(1\/28) assuming m is positive.\nAnswer: m**(279\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.5. Let c = -4.0953 + 0.0953. What is the third biggest value in c, -3, h, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -396.77 * -3.\nAnswer: 1190.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17629075 (base 10) to base 9.\nAnswer: 36148481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.171 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -50. Let d(l) = 14*l**2 - 51*l - 6. Is d(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 268.4 - 268. Let m = -1 + 0. What is the biggest value in 4\/3, m, p?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1242 or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*a = 70, -2*a = 7 + 3. Let g be ((-16)\/c)\/((-2)\/(-10)). Solve -2*v - 3*u + 11 = 0, 0 = 5*v - g*u + 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-2)\/6)\/(-1). Let n be (6\/10)\/(2\/90). Let l = n - 565\/21. What is the biggest value in -1\/2, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -16*t**2 - 31*t - 10. Let r(h) = 3*h**2 + 6*h + 2. Calculate 2*p(x) + 11*r(x).\nAnswer: x**2 + 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204*i**2*x**2 + 2460*i**2*x + 9*i**2 - 3*i*x**2 - i + 7*x**2 + 29*x - 23 wrt i.\nAnswer: 408*x**2 + 4920*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2369542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -11222101?\nAnswer: -11222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b - 3. Let n(j) = j - 1. Let h(d) = d**2 - 4*d + 4. Suppose 4*w + 1 = t - 0, 4*w - 4*t = 8. Let i(x) = w*h(x) - 3*n(x). What is i(g) - q(g)?\nAnswer: -2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6415.688 millilitres in litres?\nAnswer: 6.415688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.49 - -13. Let x = -50.51 + s. Let o = x + 51.54. What is o rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.096 (b) -2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1164 and 20531602?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 792\/7*d**2 + 18399744\/7 - 1\/7*d**3 - 209088\/7*d.\nAnswer: -(d - 264)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1795, 1793, 1789, 1783, 1775, 1765?\n\"Answer: -l**2 + l + 1795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 14*s**2 + 7. Let q(x) = 2*x + 3*x - 6*x - x. Calculate t(q(k)).\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-56) - 436\/(-16). Suppose 0 = 25*t - u*t + 1029. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742896816 to the power of 1\/3, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 41320 in 4, 3\/8, -8\/9, 1, -79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589117798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 670209162, 1340418325, 2010627488?\nAnswer: 2680836651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414914229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -203181381*a**4 - 633084*a**2 - a + 5 wrt a?\nAnswer: -4876353144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -801 (b) 5 (c) 1 (d) 3 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 1*(-5 - 129). Suppose m - 155 + o = 0. What is the remainder when m is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, -3\/332, 48, 2\/5?\nAnswer: -3\/332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17404 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (3*sqrt(77) + sqrt(77) - sqrt(77)))*-3 + sqrt(77))\/(2*sqrt(1100) + sqrt(1100)) + 4.\nAnswer: 7*sqrt(7)\/30 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from kuooeuuuuookuouuy.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 1\/3, -0.12, -3.03, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + 181. Suppose o = 1182*z - 1180*z. What is the remainder when z is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 2:50 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 33958224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, -15 in increasing order.\nAnswer: -15, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 525240 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 193, 432, 765, 1192, 1713?\nAnswer: 2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 3, m: 11}. Give prob of sequence sm.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 172*z = 764 + 886 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 4:13 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.9433 rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 5, 3, -5 in increasing order.\nAnswer: -5, 3, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -719*q*u**2 - 234*q - u + 1 wrt u?\nAnswer: -1438*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -2*z - 1. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/189 and 17\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -627, -815, -1009?\nAnswer: -1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100111000110010100 - 1?\nAnswer: 101100111000110010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-10)\/(-3))\/((216876\/297)\/(-62))?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3712 or 3710?\nAnswer: 3710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 2\/5 (c) 1\/6 (d) -6 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 317*k + 306*k - 1079*k + 348*k. Let n(o) = 3*o**2. Give s(n(l)).\nAnswer: -324*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-360)\/225*(-265)\/2 - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) -0.5 (d) -510 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*z = 1557 + 2066 - 851 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g = -10. Factor 0*k**g - 2\/9*k**4 + 2\/9 - 4\/9*k + 4\/9*k**3.\nAnswer: -2*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y**2 + 19*y + 51. Let r(h) = 2*h**2 + 9*h + 26. Let x(o) = 3*d(o) - 7*r(o). Let q be x(10). Which is smaller: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 26*z + 363. Let n be l(36). Let o be 1 - 0 - 2\/(-2). Solve -n*u + 4*u = -o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 11*g**2 - 4. Let j be m(11). Let k be (-6)\/39 + (-37)\/13. Which is the third biggest value? (a) k (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38605 + 38623. Solve -10 = q - 3*j, 4*j + y = q + 31 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27683 and 1178.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8 - 6. Let r(b) = -b**3 + b. Let h be r(y). Solve -4*m + h*j - j = 9, -4*j - 21 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + u + 58, 0 = -4*u + 3 + 5. Calculate the remainder when (-309)\/(-9) + 1\/(-3) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -1315668, -5, -12 in descending order.\nAnswer: 16, 3, -5, -12, -1315668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 824 and 14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11438034.747121 + 11438016. Let z = q + 20.22706. Let t = -1.48 + z. Round t to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126815165*a**3 - 63407588*a**3 + 17*a**2 - 63407580*a**3.\nAnswer: -3*a**3 + 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 328, 1136, 2704, 5284, 9128, 14488, 21616?\nAnswer: 30764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -14*c**3\/3 - 217. Let w(p) = -3*p. Give w(q(s)).\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 7. Let i(n) = 8*n - 22. Give 11*d(f) - 4*i(f).\nAnswer: f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.2 - 2.8. Let z = v - -54.5. Which is the closest to -0.05? (a) 2 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-12)\/z**(-28)*(z**(2\/27)\/z)\/z*z**(14\/3) assuming z is positive.\nAnswer: z**(506\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3996084 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3881344.9\nAnswer: -3881344.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*c**2 - 6*c + 0*c - 31*c**2 + 6*c.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -11?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73638 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2624088 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -558, -823, -1068, -1287?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**2 - 1. Let s be l(-1). Suppose s*y = 2*y + 105. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((-3)\/6)\/1. Suppose j + 1 = -n. Is 83 + -2 + 5 + n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59521? (a) 1\/3 (b) 0.2 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97007381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**10)\/n**(-8\/3))\/(n**3*n**(-5\/2)) assuming n is positive.\nAnswer: n**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -10\/3 (b) -6 (c) -1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -42136165?\nAnswer: -42136165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001836192911 rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27*-35229\nAnswer: -951183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.467 and -4.\nAnswer: 33.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1493 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 + 5*z - 1. What is p(5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*a + 9, -i + 4*a = 2*a - 6. Suppose 5*q + 3 = 2*q. Let d be 1 + -1 - q - -3. Solve i = -j - 2*j, 2*p = -d*j - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 60398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22898 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -67755541 divided by -59\nAnswer: 1148399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -548*m - 2. Let j(o) = 556*o + 2. Calculate 5*j(d) + 4*x(d).\nAnswer: 588*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109434 = -4*z - 20*r + 17*r, 4*r - 136792 = -5*z. What is z rounded to the nearest one thousand?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*m = 10, -6 = -3*m - 0*m. Solve j = -8*n + 4*n + p - 7, 4*p = -20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130887?\nAnswer: 3, 14543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*c - 6 - 33 = 0, -2*c - 30 = -4*z. Suppose -5*n + 10 = -z*n. Let v(g) = 3 + 6*g - 3 + g**2 - 2. Calculate v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-24 - 17 - -17)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 0, -5 in descending order.\nAnswer: 46, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 19 = 2*h - 4, 0 = -2*h + 3*d - 9. Let m = -1 + h. Which is greater: m or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 - 9.7. Let y = v + 12.94. Let w = y + -0.44. Which is the nearest to 1\/3? (a) 5 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2 = -3*o - 8, 0 = p - 3*o + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 924 - 919. Solve t*c - 5 + 2 = i, 0 = -2*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 6:08 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.500126 meters?\nAnswer: 500.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/63)\/((29\/((-15921)\/(-12)))\/(70\/(-15)))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10103?\nAnswer: 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 106 - 3*g - g**3 - 49 - 51 as b*g**3 + v*g + j + n*g**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 + 2*w**2 + 1. Let d be 3\/(-2)*-4*2\/(-6). What is the lowest common multiple of 33 and f(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325784047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15511828 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 5, -1 in descending order.\nAnswer: 5, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249\/11 or -1746?\nAnswer: 249\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**3*t*t*t**0)\/(t\/(t**(-1\/4)*t))**(2\/67))\/(t**(-2\/3)*(t\/t**2)\/t*(t\/t**(-1))**(1\/21)) assuming t is positive.\nAnswer: t**(8033\/938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111000011010010100 + 10110110?\nAnswer: 1111111000011101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184 + -268. Let q = -840 - d. Is (-7)\/(-35) - q\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84, -630, -2068, -4830, -9348?\n\"Answer: -72*w**3 - 14*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 - 100001111000?\nAnswer: -100010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -8\/7, -0.02, -3\/2, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 40. Let t = j - 8. Solve -t*z = 18 - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7248025 to the power of 1\/2, to the nearest integer?\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14146*y**2 - 7092*y**2 - 7053*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4017*b**3\/4 - 16503*b**2\/4 - 5130*b = 0.\nAnswer: -1, 0, 6840\/1339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Let g be ((-2)\/(-69))\/((-1)\/3). Let j be ((-4)\/(-15))\/(1*2\/6). What is the second biggest value in g, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -73*s - 164, -75620*s + 75616*s = 3*t + 45 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132460 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2137, -2 in decreasing order.\nAnswer: -2, -14, -2137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 276608131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 41) + -12 + 19 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2410 - -1222213?\nAnswer: 1230123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m - 3. Suppose 22*r - 27*r + 30 = 0. What is y(r)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 6213*v**2 + 219 + 28 - 245.\nAnswer: 2*v**3 + 6213*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -84 + 123*z + 1\/2*z**2 - 128\/3*z**3. What is the derivative of w(l) wrt l?\nAnswer: -256*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 0)*(1 - -1). Suppose -k = -1 - c. What is the units digit of 2\/4*-2 + k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - 30*w + 54. Let u(a) = 4*a**2 - 29*a + 52. Let s(n) = 6*u(n) - 5*v(n). Let q be s(-24). Calculate the greatest common factor of 42 and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 239\/12 and 20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 11, 7, 0, -2 in descending order.\nAnswer: 11, 7, 0, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10829814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11300)\/10*(4 + 2*-1). Let c be (1 + 560\/(-18))\/(h\/(-555)). Let m = -59\/113 + c. What is the common denominator of 40\/27 and m?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 53*g. Let u(i) = -i + 560754. Give h(u(x)).\nAnswer: -53*x + 29719962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3564 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 84a?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -2, -5, 29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -1 + -3)\/(((-227)\/5448)\/(4\/12))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a1 + 6?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63785658331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r**(-1)\/r))*r)**(-3\/4)\/(r**2\/r**(1\/3)))**(-12\/7))**37 assuming r is positive.\nAnswer: r**(407\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 3551?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -5, -6, 0.5, 5.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5 - 26*o**3 - 182*o**2?\nAnswer: 120*o**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536437 minus -960945?\nAnswer: 3497382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -470563\/22 - -21385. What is the common denominator of v and (87\/10)\/(6\/15)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 8*y - 21. Let w be o(10). Which is bigger: 18 or w?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 28*z**3 - 6*z - 135. Let a(t) = -57*t**3 + 15*t + 265. Give -2*a(q) - 5*g(q).\nAnswer: -26*q**3 + 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10129733 - -10129456.99906. Let j = x + 276. What is j rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 7:28 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-69)\/(-46))\/((-2)\/(20\/(-6))). Factor -1 + 7\/2*x - z*x**2.\nAnswer: -(x - 1)*(5*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7672320 and 23004?\nAnswer: 544734720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -27*x**5\/20 + 11*x**4\/24 - 3*x**3\/2 - 10*x. Let w(i) be the second derivative of v(i). Is w(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 3*p - 6. Let t be d(-5). Suppose 5*k - 38 = -4*w, -t*k + 9*k = 3*w + 24. Let g(z) = 4*z - z**3 - 6*z**2 + 3*z + k*z - 14*z. Calculate g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*x - 4424*x**2 + 63*x - 968*x**2 - 30*x in the form t + h*x**2 + y*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.118498 decades?\nAnswer: 734.21976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/31974302 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -0.3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1309*r - 1272*r - 3742*r to q + x*r and give x.\nAnswer: -6323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4132681188 and 454.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 850608 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-182) + 16\/56. Let k = 1138235 + -804731957\/707. Let p = k + 2\/101. Which is the second smallest value? (a) p (b) 0.19 (c) l (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17091 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 86\/6 - 4\/12. What is the remainder when 3 is divided by (-4)\/b + (-69)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34942218*i**4 + 57454012*i**2 wrt i.\nAnswer: 838613232*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54729 is divided by 3932?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + 5.84. Let r = k + -10. Let t be (3\/6)\/((-10)\/4). Which is the smallest value? (a) r (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.73 + 63. Let u = m + -0.27. Let i = 3 - -1. Which is the nearest to 0? (a) u (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1835 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -52*s**3 + 16*s**2 - 91*s**4 + 36*s**4 + 41*s**4 = 0.\nAnswer: -4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 13\/6 (c) 0.5 (d) 2\/5 (e) 79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406938 by -14.\nAnswer: 29067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -40*z + 3. Let c be i(1). Let b = 29 - c. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 9*y**2 + 10*y + 5. Let c be i(10). Suppose -5*l - c*d + 706 = -7*d, 2*d = -3*l + 414. Calculate the highest common divisor of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6783670379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -21*k**2 + 529951*k. Let f(b) = b. What is f(n(a))?\nAnswer: -21*a**2 + 529951*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 15*o - 2. Let y(l) = 2*l**2 - 16*l + 3. Determine -3*h(i) - 2*y(i).\nAnswer: 2*i**2 - 13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 47*f**2 + 89*f + 68. Is g(-45) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 3*r**2\/2 - 1. Let y(q) = 1112*q - 357*q - 391*q - 397*q. Determine j(y(z)).\nAnswer: -99*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39727, 79435, 119121, 158785, 198427, 238047, 277645?\n\"Answer: -11*i**2 + 39741*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 26 = 4*b, 4*s - b + 2*b - 36 = 0. Let y = 537 + -528. Suppose -y*q = -606 - 1464. Calculate the greatest common divisor of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t\/t**(-3)))*(t\/(t\/(t**(3\/14)*t)*t))\/t*(t*t**(-26)\/t)\/t**(-4\/7) assuming t is positive.\nAnswer: t**(-311\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/3295 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r + 30 = -69*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 1:11 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-7\/10))**29\/((q**3*(q\/(q*q**(-7)))\/q*q)\/((((((q**(-2\/7)\/q)\/q*q*q*q)\/q*q)\/q)\/q)\/(q*(q*(q*q\/q**(-5))\/q)\/q*q))) assuming q is positive.\nAnswer: q**(746\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + 58 + (27 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 108 - 32 + 225739*t - 225739*t.\nAnswer: 2*t**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x - 3. Let k be z(2). Suppose -3*j - 2*g = k, -4*j = -2*j - 4*g - 14. Let h be (j\/3)\/((-2)\/(-6)). Let f(v) = v**3 - v**2. Give f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 - 54*v + 185*v - 108*v - 47*v in the form u + q*v and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78429 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1947.18087ms to days.\nAnswer: 0.000022536815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1256316.4 - -1256340.4000056. Let m = u - 24. Round m to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0167 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2 + b**2 + 0*b + 1\/2*b**4 + 4\/3*b**3. Find c, given that a(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688998946 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-70))\/((-15)\/85) - -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**5 - 2865*u**4 - 71950*u**3 + 112335690*u**2 + 71955*u - 112332825 = 0.\nAnswer: -369, -1, 1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 922 divided by -7134.\nAnswer: -461\/3567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 952\/(-156) + 0 + (-2118)\/(-353).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 2)*(120 + 15 + w**2 + 11) to a + g*w**2 + h*w and give a.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 5*d**2 - 7*d - 1. Let l be w(-6). Suppose -4*z - 5*c + 344 = -z, 5*c - 580 = -l*z. Let i = 78 + z. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/6 - (82\/(-42) - (63 + -64)). Which is the nearest to -0.5? (a) 0.1 (b) 2 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241 - 164. Suppose -3*y + 3 = -3. Let k = y + m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10161225 is divided by 18887.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)*n)**(-3\/20)\/(n*n**(2\/3)*((n**8\/n)\/n*n)\/n)*(n\/n**(-8)*n**(-8))\/(n\/(n**(-2\/5)\/n))**(42\/5) assuming n is positive.\nAnswer: n**(-8063\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/14*(-8)\/(-1210)?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232763517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 22849075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**3 + 20*c**2 - 3712*c + 37888 = 0. What is c?\nAnswer: -37, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 587700 to the nearest 10000.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 5 - 77*a**3 - 7*a - 82*a**3 - 74*a**3 + 222*a**3. Let o(f) = 11*f**3 + 6*f**2 + 8*f - 6. Give 6*j(t) + 5*o(t).\nAnswer: -11*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(99) + 3 + 5.\nAnswer: 3*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59689282934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -1.4.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 c, and 1 n when four letters picked without replacement from {c: 5, l: 1, n: 1, p: 3, g: 10}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by 15018\nAnswer: -343\/15018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 e when two letters picked without replacement from {g: 5, b: 5, e: 1, h: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5 - 56*t**2 - 569*t.\nAnswer: 20*t**3 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1416130 + -43?\nAnswer: -1416203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/(-84))\/24*21\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:35 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1068514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017491 to 4 decimal places.\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -51*z**2 + 9*z + 193. Let r(d) = -d. Calculate r(y(l)).\nAnswer: 51*l**2 - 9*l - 193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(4800) + 3) + 4 + (sqrt(4800)*-2 - sqrt(4800))**2)*-3.\nAnswer: -129639 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 40 - (-5 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1.3, -23 in descending order.\nAnswer: 1.3, -3\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r. Let k(w) be the second derivative of w**6\/120 + w**3 - 2*w. Let l(q) be the second derivative of k(q). Determine b(l(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*o + 1493, 4*d = -4*o + 1263 + 1741. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + -4?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118745 and 18315?\nAnswer: 39542085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 + 0.04. Suppose t + 0*t = 3. Which is the nearest to k? (a) 0 (b) t (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5711066 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*g + 2*w, -17 = -2*g + 5*w + 13. Solve 3*t = -4*v + 15, -5*v + 29 = g*t + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*p**2 + 368*p**2 - 748*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 - 6 = 0. Suppose 21 = 5*k - 3*n, k - 3*n - 18 = -h*k. Which is the second biggest value? (a) 0 (b) 2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spsypsj. Give prob of picking 1 j, 1 y, and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1868 and -49\/4?\nAnswer: 1868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*-6 + 2.\nAnswer: -42*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 - ((-80)\/4 + 8). Let o(n) = -1 + 1 - 1. Let z(w) = w**2 + w + 3. What is c*z(j) + 6*o(j)?\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 9. Let r be w(4). Let g = r - 15. Let v = g + 1. Solve 0 = -4*j + 3*j + v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a century in months?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -26\/79 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d. Suppose 0*a + 3*a + 306 = d. What is the tens digit of (-6)\/(-9) + a\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01412 less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 + 153*p + 245. What is g(13)?\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -153 - -3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 5*u**2 - 19*u**2 + 14*u**2.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -206 + -33795?\nAnswer: -34001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -442*q + 103964. What is k(235)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (272\/408)\/(19\/(-6))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494320 and 320.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 8*n**2 - 6*n + 8. Suppose -a - 24 = -5*m, -2*a + 2*m = a + 33. Let p be v(a). Let u = p - -28. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 4. Let w be g(-9). Let f = 0.03 + -0.06. Let v = f + -3.97. What is the biggest value in w, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 3 - 16\/(-4). Let n be o\/(-1 - (3 + -5)). Solve -l = n*t + 17, 3*l + 2*t + 2 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1280, -2838, -4658, -6740, -9084, -11690, -14558?\n\"Answer: -131*y**2 - 1165*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iin when three letters picked without replacement from wwinnnnnniqw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**5\/20 - 7*s**4\/12 + 7*s**3\/6 - s**2 - 2*s. Let p be q(-8). What is the tens digit of (-2)\/p*(-1044)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149*k**6 + 173*k**2 + 2 wrt k?\nAnswer: -17880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, 232, 1071, 2398, 4219?\n\"Answer: v**3 + 235*v**2 - 355*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**3 + 43*o**2 + 134*o + 301. What is v(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1632)\/(-116) - (-26)\/(-377). Solve -19*p = -x*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 41*d - 58 - 46*d + 88*d. Let u be c(0). Let k = 56 + u. Sort 2, k, -4, 3 in descending order.\nAnswer: 3, 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let z be y(0). Let u be (-3 + 2)\/(-2 - z). What is the tens digit of ((-1 - -28) + u)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32896986 - -8014.67.\nAnswer: -32888971.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190769399 is divided by 328.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159340.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxt when three letters picked without replacement from xxttx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*i**3 - 12*i**4 + 22*i**3 + (2*i - 3*i + 3*i)*(7*i**3 + 2 - 2) in the form v*i + c*i**4 + m + r*i**3 + p*i**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -422.4 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -40. Suppose 0 = 2*p + p - 1368. Suppose l = h*l - p. What is the highest common factor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*s = 29, -3*o + 2*s + 26 = -6*o. Let y(k) = k**3 + 8*k**2 - k - 6. Let w be y(o). List the prime factors of (12\/3)\/1*w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 381906 and 1418508.\nAnswer: 9929556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -30. Let k(j) = j**3 + 26*j**2 - 8*j + 71. Let v be k(-28). Let c = -1206 - v. Calculate the remainder when c is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04698707093 + 0.0647?\nAnswer: 0.11168707093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -434 - -450. Let l = 31 - 31. Suppose l = -3*i + 14 + 22. Calculate the smallest common multiple of i and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 24. What is the closest to 1 in c, -0.4, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84108*-0.4.\nAnswer: 33643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 3:02 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, m: 5, r: 3, a: 7}. Give prob of sequence rm.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(200) + (sqrt(200)*-1 - sqrt(200))))\/sqrt(4))\/(sqrt(120)\/(2*sqrt(588) + sqrt(12))).\nAnswer: -90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**2 + 8*h**2 - 6*h**3)*(2*h + 10*h - 9*h).\nAnswer: -18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 24. Let l(m) = -7*m + 51. Let d(v) = -13*i(v) + 6*l(v). What is d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n - 36. Let q = n + 15. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**2 - 3*o. Suppose 0 = a - 0 + 1. Let d(x) be the first derivative of x**3\/3 + x**2\/2 + 166. Suppose 8 = f - 3*f. What is a*k(l) + f*d(l)?\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence off when three letters picked without replacement from {f: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 2221\/19. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 94\/23 - 116\/1334?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q - 177. Let b be d(-10). Put -2, -5, b, 1 in increasing order.\nAnswer: -5, -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 + 9 = 0, 5*s - 67377 = 4*c. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*m + 65, 2*a + 0*a + 4*m = -62. Let v = 51 + a. Suppose 203*r - 222*r + 133 = 0. Calculate the remainder when v is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c33 + 539?\nAnswer: -6c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599 + -636 + 21 + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 - 16)*(6*w - 25 + 25) + (w - 2*w + 2*w)*(1 - 2 + 3) + 0*w + 2*w - 3*w.\nAnswer: -143*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(99) + sqrt(99))*1 + sqrt(99) - (sqrt(99) + 0)*5)**2 - -5*(-6*2*sqrt(99) + -4*-2*sqrt(99)).\nAnswer: -36*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/30 and 10\/6 - 7220\/1200.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 7*u**2 + 6. Let w(s) = 2*s**3 - 6*s**2 + 5. Give -3*q(i) + 4*w(i).\nAnswer: 2*i**3 - 3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6124*g + 2*g**2 + 6112*g - 10 - g**2. Is 19 a factor of v(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*g = -g + 20, -2*w + 4*g = -10. Solve w*f = -20, -2*x + 4*f = -4*x - 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -22. What is the smallest common multiple of p and 53?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = 15. Let j(f) = -u + 14*f - f**2 + 6*f**2 - f**2 + 2*f**3. Let l(x) = x**3 + x**2 + 5*x - 4. Let k(g) = 3*j(g) - 8*l(g). Factor k(o).\nAnswer: -2*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 11*t + 1. Let q be h(3). What is the tens digit of (-1278)\/(-8) + 1\/q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5298 + 0.00507\nAnswer: 5298.00507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-24)*2100\/113925\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*t + 43 = 0, -34*b = -29*b + 3*t - 70. Let f(p) = -3*p**3 + 4*p**2 + p. Let x(i) = 9*i**3 - 11*i**2 - 3*i + 1. Calculate b*f(z) + 4*x(z).\nAnswer: 3*z**3 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 1. Let v(d) = d + 3. Let a(n) = -n**3 - n**2 - 4*n - 2. Suppose -5*q + 0*q = q. Let m be a(q). What is m*w(p) + v(p)?\nAnswer: 2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1365 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 16\/2411?\nAnswer: 16\/2411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/700 and 33\/1750.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.894 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-80))\/(2\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 169069251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)*y)**28*(y**(-7))**(-20) assuming y is positive.\nAnswer: y**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -40\/3*l**6 + 0*l**2 + 0*l**4 - 131\/3*l**3 - 33 + 0*l**5 + 0*l. Find the third derivative of i(x) wrt x.\nAnswer: -4800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3492 times 48.865?\nAnswer: -170636.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4399 + 35193\/8. Which is smaller: -7.08 or a?\nAnswer: -7.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13881.7 - 13882. Let j = 0.01 - -2.99. Which is the second biggest value? (a) g (b) 2\/5 (c) -13 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 1 + 19. Suppose 9 - 109 = -q*a. Suppose -4*d + 13*d = 36. Solve g = -d*g - a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00047614 to five decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 48 = -5*j. Let r = 17 - j. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 93.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 + (-3 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5902, 5980, 6060, 6142?\n\"Answer: c**2 + 75*c + 5826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -34860453?\nAnswer: 8\/34860453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9999 is divided by 1428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/11? (a) 1 (b) 11\/16 (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4901*q - 19585. Give l(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 3*x + 7040 = 10*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-20)*-5 + 58. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (0 - -13) + 0. Suppose 2*u = 1 + 1. Suppose 4*f + u - 33 = 0. Calculate the greatest common factor of f and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5*x**3 + 36\/5*x**5 + 0*x**2 + 0 + 24\/5*x**4 + 0*x = 0. Calculate x.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/5 - 21992*z**4\/5 - 255816*z**3 + 3969182*z**2\/5 - 4013161*z\/5 + 269010 = 0.\nAnswer: -61, 1, 22050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 8:30 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000979 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 37*x**3 - x**2. Let a(l) = 38*l**3 - l**2. Calculate 3*a(j) - 2*v(j).\nAnswer: 40*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 - 5. Suppose x = 2*d + d + 3*n, 4*d - 5*n = 111. Let y = 38 - d. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + 1*(3 + sqrt(1200)*5))**2 + -5.\nAnswer: -400*sqrt(3) + 29994","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5 - 76*k**4 + 412*k**3 - 228*k**2 - 2016*k - 1296 = 0 for k.\nAnswer: -1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33a80 (base 15) to base 6\nAnswer: -3304550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 7\/933, -4\/65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k + 7. Suppose -k - 1 = -d, 3 = 4*z + d. Suppose z = -p - 3*a + 10, 4 = -p + a + 3*a. Calculate the remainder when 6 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-10)\/4*4. Let d(h) = 14*h**2 - 1566*h - 1780. Let j be d(113). Calculate the greatest common divisor of j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 702, 1\/8, -2, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(-1)*(6 - -15). Suppose 208 = 9*w + d*w. What is the remainder when 47 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4497620 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvn when three letters picked without replacement from {v: 1, e: 2, p: 1, n: 1, u: 1, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o - 6 = 0. Let j(k) = 26*k + 135. Suppose 7*s + 73 - 38 = 0. Let m be j(s). Solve 5*f - d = -m, -4*d + 2 = -4*f + o*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - (4 + -20))*-1. What are the prime factors of 12\/120 + (-1138)\/j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 + 1 = 0. Let y(h) = -h**3 + 5*h**2 - 3*h - 5. What is y(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14536, -19099, -26692, -37303, -50920, -67531, -87124, -109687?\nAnswer: -135208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -262 - -258. What are the prime factors of -13*1*(p - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + (-134)\/8. Let w be 1\/2*-25*4\/(-2). Let z = w + t. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 - (323\/(-102) + 28\/(-21))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:40 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*2)*-2)\/(sqrt(7) + sqrt(7) + (sqrt(7) - (sqrt(112)*-1 - sqrt(112))))*5.\nAnswer: 10*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 22192194.8 to the nearest ten thousand.\nAnswer: 22190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 4*o - 4*o)*(6*o - 4*o - o) + (-o**2 + 0*o + 0*o)*(4 - 6 + 1)*(-616*o - 229700 + 229700) as n + x*o**2 + c*o + j*o**3 and give j.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (1*(-5*sqrt(132) - sqrt(132)) - sqrt(132)) + sqrt(132))\/sqrt(12) - (-5*(1 + 3 + sqrt(11) + sqrt(11)))**2) + 4.\nAnswer: -1496 - 405*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15))**(-25) assuming z is positive.\nAnswer: z**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.5. Let f = -0.9 - -0.4. Suppose 5*z = -2*d + 8 + 9, -d - 2*z + 7 = 0. What is the third biggest value in d, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397739 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -4\/7 (c) 52 (d) 221\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/1380*60*(-3)\/(-15)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s = 3*w + 56*s - 25, -s - 31 = -4*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 259*g - 527*g + 272*g. Let r(n) = 391*n**2 - 2. Give r(a(f)).\nAnswer: 6256*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(2*(-10)\/(-8))*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*h - 3*h. What is the lowest common multiple of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 16. Let m be (2\/(-12))\/((-4)\/o*-2). Which is bigger: -3\/5 or m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9860765*b**2 + 9860765*b**2 + 216*b**3.\nAnswer: 216*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-63) + -1)\/(342\/1197)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 9*v + 10. Let o be q(-5). Let r be -3*1 + o\/(-2). Solve c - 7 = 3*c - 3*b, -10 = r*c - 4*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and 50437873?\nAnswer: 50437879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/6 - (0 + 1 + -4667). Let y = k - 60752\/13. What is the common denominator of y and 40\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40582?\nAnswer: 2, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**10\/10080 + u**6\/360 - u**4\/4 + u. Let j(c) be the third derivative of m(c). Find the second derivative of j(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 = -24*n + 22*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2)*p)**(-18)*p**1*p**(-3)*p*(p\/p**(-7\/3)*p**0)\/(((p*p*(p*p**7)\/p*p*p)\/p)\/(p**(-4\/11)\/p)) assuming p is positive.\nAnswer: p**(-1189\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2696 plus 12?\nAnswer: 12.2696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 229*c**6 - 699187*c**5 + c**3 + 51495*c**2 + 1656*c.\nAnswer: 27480*c**3 - 41951220*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2613521.\nAnswer: 2613521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 45\/7, -241\/5, -0.11, -0.4 in decreasing order.\nAnswer: 45\/7, -0.11, -0.4, -241\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 13*u + 13*u - 4*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1)\/(45\/(-90))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 193\/51917*13\/3. Are k and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**20*h*h**(-1\/6)\/h)**(-33) assuming h is positive.\nAnswer: h**(-1309\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-12))\/((-4)\/12). What is the second smallest value in 0.4, -2\/5, g, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78134.62l?\nAnswer: 78134620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 - 197 = 5*b. Let g = 90 + b. Suppose 0*z + 4*s - 438 = -g*z, -s - 204 = -z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*j + 3*j = 280, 5*j = -m + 100. Calculate the highest common factor of 30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. Let y be ((-3*1)\/(-3))\/x. Is 5 a factor of ((-15)\/(-3))\/(y\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 9 = -2*l, 3*v = l + l + 9. Suppose -v*b = w - 328, b + 215 = 3*b - 3*w. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81*q - 49*q**5 + 70*q - 22*q**5 - 13*q wrt q?\nAnswer: -1420*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18643746 to the nearest integer?\nAnswer: 4318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, 228.\nAnswer: 0.2, 1\/4, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*a = c - 5, 0 = 5*c - 4*a + 38. Let n be (-4)\/(-10) + 4\/c. Let r be 4 + -35 + 30 + 1. Solve 4*f + r*f = 5*y - 14, y + 2*f = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(153) + 2*sqrt(153)*4))\/(sqrt(729)*2*2 - sqrt(729)))**2*6.\nAnswer: 544\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/2 (b) -405984 (c) 6\/5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.0498.\nAnswer: 0.00498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146\/5 > 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/3 + 328*f**2 + 2327*f - 43604\/3 = 0. What is f?\nAnswer: -11, 4, 991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -745 = -3*s - 152*r, 10*r = -6*r + 18*r - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550101045?\nAnswer: 3, 5, 13, 17, 31, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 127890 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -150?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/20 and -47\/55978?\nAnswer: 559780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -a - 5, 7*a - 2*a - 17 = -4*k. Let t be ((-3)\/2)\/((-2)\/20). Let l = 17 - t. Solve 5*x + 2*h + l = x, 2*x = -k*h - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 354\/95 - 4903\/2565. What is the common denominator of o and 167\/1170?\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -10 (b) -0.002 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 4*w - 2*w + 11*w to y*w + t and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 21415503?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0134463 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(75)*-3)**2.\nAnswer: 218700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Let i(p) = p**2 - 3. Let w be i(-4). Suppose -y + 45 = 5*k + 4*y, 0 = -2*k - y + w. Which is greater: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/8)\/(3 + (-205)\/60).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - p**2 - 5 + 11 to q + b*p + u*p**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4089*l**2 + 4092*l**2 + 434*l - 434*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*5\/(-20) - 24\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 7*s + 8. Give a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 418 * 0.135\nAnswer: 56.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256.547kg in milligrams?\nAnswer: 2256547000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5760 by 1440.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10767039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -900, -1163, -1610, -2289, -3248, -4535?\nAnswer: -6198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 1, w: 1, e: 2, x: 1}. Give prob of picking 1 g, 1 e, and 1 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from odoooooododooooo.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56609227*p**3*s**2 - 2*p**3*s - 289*p**3 + 183*p + 1 wrt s.\nAnswer: 113218454*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 11335*h - 22650.\nAnswer: -5*(h + 2)*(h + 2265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -250 and -5434.\nAnswer: -5684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 514 = 3*q, a - 26 - 112 = 4*q. Calculate the highest common factor of a and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 8:37 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n**2 - 16*n - 1. Let o be u(-2). Sort 2, 5, o, 1 in ascending order.\nAnswer: o, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q)**(-2\/85) assuming q is positive.\nAnswer: q**(-24\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 207\/22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91056 + 6?\nAnswer: 91062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 23, 15, -3, -31?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-12)*16\/6. Suppose 17121*z + 17 = 17123*z - 3*f, -z = 2*f + 2. Solve m - 2*r + d*r = -20, -z*r = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-630)\/(-30) + (-6)\/(1\/1 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:18 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 2. Let k be n(-4). Find g, given that -6*g - 3\/2*g**k - 6 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 6)\/(-62 + (-48069)\/(-777))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**5\/8 + 13*m**4\/24 - 3*m**3 - 14. Let p(c) be the third derivative of s(c). Let t(a) = 8*a - 7. What is 6*p(j) + 11*t(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 35*o**2 + 234*o + 53. What is the remainder when -1*120*(11\/(-5) - -1) is divided by b(26)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2. Let a(b) = 49*b**2 + 7. What is a(f(z))?\nAnswer: 196*z**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 25*g**2 + g + 1. Let i be y(-1). Calculate the highest common divisor of i and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1190 - -3506\/3. Find the common denominator of -101\/2 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - (-1)\/((-5)\/(-5)). Let d = -2.1 + 2. Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025219 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 49 = -2*x, -g + 5*g - 68 = -3*x. Suppose 4*n = 2*i, 4*i + 5*n = 44 + 8. Calculate the highest common divisor of i and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25345 (base 7) to base 13\nAnswer: -3082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -12. Let h(g) = g + m*g - 4*g. Let k(y) be the third derivative of -y**5\/20 - 795*y**2 + 1. What is k(h(v))?\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0*u - u)*(-2*u**2 + 4*u**2 - 3*u**2) - 4*u**2 + 4*u**2 - 912803*u**3 + 923357*u**3.\nAnswer: 10552*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 562.0716um to kilometers.\nAnswer: 0.0000005620716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 142\/4 + -3*(-6)\/(-36). What is the common denominator of 10\/s*-1 - 2 and 41\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 84, 348, 38 in descending order.\nAnswer: 348, 84, 38, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 100152964597?\nAnswer: 100152964598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40097178 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: Calculate the greatest common divisor of 4738 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2439022604047 and -0.1.\nAnswer: 2439022604046.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -34029184866.\nAnswer: -34029184866.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**35\/(w*w\/(w**(-1\/4)\/w))**(-32)*(w**12\/w**(11\/5))**(-21\/2) assuming w is positive.\nAnswer: w**(361\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (sqrt(1300) - (1*sqrt(1300) - sqrt(1300)))*5 + (-1 + sqrt(1300) - sqrt(1300)) + -2 + -3)**2.\nAnswer: -720*sqrt(13) + 46836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 7*n)*(-159 + 159 - 53*n) + 9*n**2 - 10*n**2 - 8*n**2 to f + b*n**2 + z*n and give b.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 19. Let n = 28 + -24. Let l be -5 - (-5 + -1)*1. What is the nearest to n in 0.1, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*p + 2*p. Suppose 2*u - 38 = -p*m, -m + 6*u = 2*u - 9. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1 + (-2 - -4). Suppose -13 + 5 = 4*a. Let k = c + a. Solve 2*j - 10 = 3*b, -j - 4*b - 19 = k*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2797599851 to the nearest integer?\nAnswer: 52892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192 - -206. Let h(z) = 27*z**2 - 1. Calculate the remainder when h(-1) is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -309 + 474. Suppose -162*a = -m*a + 12. Solve 0 = 5*w - 3*h + 10, 4*w + 2*h + a = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/402 and 85\/8.\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, 58, 3 in decreasing order.\nAnswer: 58, 32, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 812, 825, 816, 773, 684, 537, 320, 21?\n\"Answer: -2*a**3 + a**2 + 24*a + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*x - 52*x = -395 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q + 5. Suppose -2*p + 6*p = 112. Let m(l) = -1 + 15 + p*l - 5*l. Let y(i) = 17*b(i) - 6*m(i). What is y(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 9. Suppose l*j - 25 = 2*j. Find the second derivative of -3*g**5 - 3*g + j*g**2 - 5*g**2 wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3524 - -1620. What are the prime factors of (q\/20)\/((-5)\/25)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2859409?\nAnswer: 7, 31, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36684 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241891*r + 242012*r = -5687 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 - -138. Let f(w) be the third derivative of 10*w**2 - 3\/2*w**3 + 0 + z*w + 1\/12*w**4. Determine f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 2*h + 8*h**4 - 1 - 7*h**4 + h as f*h**2 + s*h**4 + a*h + b*h**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51849 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 (base 16) in base 6?\nAnswer: 5143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8547705 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: Divide -8124 by -6.\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*20\/45)\/(56\/12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w*z**6 - 606*w*z**3 + 45*w*z**2 + w*z - 2*z wrt z?\nAnswer: 120*w*z**3 - 3636*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3220*f + 28957. Determine v(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 3, -5, 1, -1755 in increasing order.\nAnswer: -1755, -5, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -503*i**4\/24 + 1078*i**2 - i - 2. Let j(u) = 20*u**2. Give j(c(y)).\nAnswer: 5060180*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -247\/415 + -2\/415. Let k be 2\/(-8) + (-22)\/8. What is the closest to 2 in k, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 1056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4, -5*y - 42*o + 35 = -37*o. What is the units digit of (-6 + y\/12)*-90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -3*n - 2*i - 114, -4*i + 292 = -4*n. Let v = 87 + n. Solve -2*r - v = -r - 5*l, 4*r + l = 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (3 - (3 - 0)) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*b - 2*w + 28, -4*b + 4*w + 16 = 0. Suppose 0 = 8*u - b*u - 6. Solve 6 = -u*s + s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 + (112 - 125) + 14\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose -47 = -y*z - 11. Calculate the smallest common multiple of 4 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 920 = 5*x. Let c = -54722 + 490430\/9. Let j = c - x. What is the biggest value in -1, 2, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 1. Let u(d) = 10*d - 10. Give -2*p(i) + u(i).\nAnswer: 4*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/805 and 36\/91?\nAnswer: 10465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 18.3. Which is the closest to 1? (a) r (b) -2\/13 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 7*f. Let g be (-4 + (-65)\/(-15))*f. Does 13 divide (g + 12 + 1)*(1 + 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1342*r + 412*r + 8370 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18674 divided by -20?\nAnswer: -9337\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 g when three letters picked without replacement from {g: 8, w: 4, m: 1}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 105?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41896067.\nAnswer: 199, 210533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/16)\/(-3 - 26\/(-8)). Let q(t) be the third derivative of 5*t**4\/6 - t**3\/6 + t**2. Calculate the remainder when q(v) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2668\/(-9660) + 4\/30. What is the fourth smallest value in 0.3, m, -3, -2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 11*g + 13. Let x be (-2)\/(-1)*(-27)\/6. Let h be f(x). Let v(d) = -2*d + 7. Let a = -42 + 36. Let s(n) = 2*n - 8. What is a*v(k) + h*s(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5313*d + 8 = 5315*d, -5*d + 33 = -x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2765*v = -2761*v - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 66 + 3*h + 2*h**2 - 2*h.\nAnswer: 2*h**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-231952)\/(-560) - 4\/(-5) is divided by 92.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103179, 103218, 103257, 103296, 103335, 103374?\nAnswer: 103413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2099.2 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 24*s + 32. Let g(q) = -20 - q**2 + 2*q + 5*q + 0*q**2 + 0. Let v be g(5). Let j be m(v). What is the highest common divisor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484571 - 103786 = -264*i - 114477. Calculate the remainder when 1809 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123000 (base 4) to base 12.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/486 + 979\/3402. Let i(o) = -4*o. Let p be i(-2). Which is the closest to 0? (a) t (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r + 3. Let t be ((-6 + 0)\/(-6))\/(1 + -2). Let p be (1 - (1 - 4)) + t\/1. Is 4 a factor of l(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 516 and 11568?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.6 + -57. Let a = -4.4 - -12.6. Let g = v + a. What is the nearest to 0 in 3\/2, g, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -14*n - 6 + 2 + 18*n + 5. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682176 is divided by 119.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1099, -1, 1.\nAnswer: -4, -1, 1, 1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 - 81*h**2 + 14*h + 20. Let t(k) = 31*k**3 - 502*k**2 + 84*k + 121. Let c(m) = 25*p(m) - 4*t(m). Calculate c(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -511507.8774 to the nearest 1000.\nAnswer: -512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 12*f**2 + 4*f - 4. Is y(7) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -51, -1, 8, 3\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26555.\nAnswer: 5, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 181, 413, 769, 1267, 1925, 2761, 3793?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 32)*(1 + 3*t - 1 + 1 + (-t + 3*t + 0*t)*(-3 + 1 - 2)) + 3 + 3*t - 3 to the form y + m*t and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 280.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42398523119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 75 = -3*g - 3*i, 5*g = -4*i + 80. What is the common denominator of -3\/14 and (44*-1 + 3)\/g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339668488?\nAnswer: 2, 31, 461, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -0. Calculate the remainder when 23 is divided by -2 + 13 - y\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 308361?\nAnswer: -2\/308361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**11\/b*b**(2\/85)*b assuming b is positive.\nAnswer: b**(1022\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -13, -0.746, -108, 0 in descending order.\nAnswer: 0.1, 0, -0.746, -13, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 142*m\/5.\nAnswer: -2*m*(m - 71)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**6\/24 + 67*f**5\/10 + 2241*f**4\/8 - 236*f**3\/3 - 32227*f**2\/8 - 13467*f\/2 + 1981. Let i(z) = 0. What is z?\nAnswer: -67, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617036399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-21) - 2 - -1. What is the nearest to 0.7 in 0.4, q, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3055314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v + 29. What is u(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-35)*b**3)\/(b**(-3\/8))**(-1\/7))**(-8) assuming b is positive.\nAnswer: b**(1795\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1 (b) -14 (c) -4\/3 (d) 3\/4 (e) -588\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 71. Suppose 0 = -m - 3, -5*f - 2*m + d = -3*m. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 26*u + 14. Let x(m) = -19*m + 44. Calculate the remainder when x(-2) is divided by g(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 divided by -61?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -0*g - 50 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:31 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400*s + 30762 = 2165*s - 147*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x + 63. Calculate v(6).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 16*q - 17*q + 67*q - 14*q - 15*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 a when four letters picked without replacement from {j: 5, t: 7, a: 2, w: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-4)\/84*8?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2 (c) 0.05038 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 28439000 to the nearest 100000.\nAnswer: 28400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -32. Calculate the greatest common factor of y and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -110, -50, 66, 256, 538, 930, 1450?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/72 and 9031\/(-792) + (2 - -9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3 + t - 3. Let q(x) be the second derivative of -19*x**4\/24 + 49*x**2\/2 - 12*x - 8. Let g(o) be the first derivative of q(o). Determine g(s(i)).\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 10. Let b(f) = 1. Let v(z) = -2*b(z) - c(z). Let w(j) = j - 1. Let l(n) = -v(n) - 2*w(n). Let m(u) = -3*u + 3. Let q be m(2). Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 63*c**2 + 228*c - 1982. Calculate b(66).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/4)\/(-1))\/(897\/(-8372)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 344 - 339 + 1917 + 7417*h**2 + 70 + 2962 - h wrt h.\nAnswer: 14834*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2085*n**2 + 10031*n**2 + 2*n - 1248*n**2.\nAnswer: 10868*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1009549 centuries in decades?\nAnswer: 1.009549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 39*l + 8. Let t be k(13). Calculate the highest common divisor of 64 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168\/27*(-4176)\/(-1856)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-32))**(-23)\/(b\/b**(2\/97)*b)**(-12) assuming b is positive.\nAnswer: b**(73696\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 541\/244 + 2\/61. Let w = -2 + q. What is the smallest value in w, 3, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8511020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 20. Let c be 1\/(((-147)\/(-12))\/x). Put c, -5, 0.4 in ascending order.\nAnswer: -5, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.3? (a) 0.5 (b) -1\/8 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -19*c + 27. Calculate w(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 148\/(-18) - 12\/(-54). List the prime factors of y\/((0 - 1) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 845101460 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + (1 + sqrt(171))*6 + -2)**2*5.\nAnswer: 1440*sqrt(19) + 31100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1166284166 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188\/(-108)*((-50)\/(-4))\/(770\/(-280)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/85, -112.7, 0.2, -5, 6, 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51579237.\nAnswer: 3, 1087, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 4:04 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 57*g**3 - 47*g**2 + 46*g - 41. Does 5 divide x(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**2 - 5*k - 2. Let s(c) = c. Let t(d) = -l(d) + 3*s(d). What is the derivative of t(j) wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -134. Let c(s) = 5*s + 6 + 31 - l. What is c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 65250\/(-1044)*8\/(-5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*k. Suppose 0*m = k*m - 8. Solve m*f - f = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 435842*o. Let g(h) = -2*h**2. Give i(g(k)).\nAnswer: -871684*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuubbbububb. What is prob of picking 1 u and 1 b?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00901744 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*b - 6*b - 28 = 0, 3*b + 20 = 2*o. Is 2\/o + 469\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35 + 9)*3\/6. Which is greater: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 1. Let s be x(0). Let j(a) = 9*a**2 - 21*a. Let i(n) = -1 - n + 4 - 4. Let g(b) = s*j(b) - 6*i(b). Solve g(u) = 0 for u.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:20 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3555 = -2*w - 13*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 13. Solve 4*q**5 - q**5 + m*q**4 - 11*q**4 - 2*q**3 + 0*q**3 = 0 for q.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1013 - -1010. Which is the second smallest value? (a) -74 (b) 0.5 (c) -0.2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 7*x - 2*x**2 + 15 + 2*x + 7*x as c + t*x + d*x**2 and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s**3 - 2*s**2 + 5*s - 4. Let a be w(1). Does a = 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9798740871 + -0.39.\nAnswer: -9798740871.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, -2, 3, 5, 1, 1\/38 in increasing order.\nAnswer: -2, -1.5, 1\/38, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = 0, -5*z + 4*x + 42 = -3*z. Suppose -5*d = 3*m - 52, -3*m = -0*m + 4*d - 47. Calculate the remainder when z is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 745*m = 748*m - 11841. What is the remainder when m is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44*f - 261 + 261)*(280*f + 1 - 140*f + f**2 - 143*f) in the form y + z*f**2 + m*f**3 + u*f and give z.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t - 1. Let x be 1 + 0 - (-6 + -1). Suppose u = -0 + x. Calculate the smallest common multiple of y(2) and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3090000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(152) - (sqrt(152) + sqrt(152)*5)*4)*6)\/((sqrt(392)*4 + sqrt(392) + sqrt(392))*-1 - sqrt(392)) + -2)**2.\nAnswer: 276*sqrt(19)\/49 + 364237\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -294, -439, -586, -735?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + -0.16. What is the closest to 1 in 1\/2, 2\/7, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}