diff --git "a/data/dm_maths/full_data_1/10881_11255.jsonl" "b/data/dm_maths/full_data_1/10881_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10881_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 14, what is 9a22a16 - -1?\nAnswer: 9a22a17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 142130, 142128, 142126?\n\"Answer: -2*c + 142132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) - sqrt(225)*-1)*2 + sqrt(225))\/(sqrt(36)*2))\/(sqrt(5) - sqrt(605)*-1 - sqrt(20)\/sqrt(100)).\nAnswer: 25*sqrt(5)\/236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svjo when four letters picked without replacement from vvjovqvvvuqqvsvqqjqv.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3032 > -3036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 80\/14 + 136\/476. Is 1\/4 + 30405*o\/40 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 11022?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904)*2)\/sqrt(12))**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a83db + 2?\nAnswer: a83dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1834 = x, -5*y + 3*y = -3*x + 5481. Suppose 0 = -1820*h + x*h - 4990. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 3*x**2 - 6*x - 6. Let p be y(-4). Suppose -2*m - 3*m = 15, 0 = -5*b + 2*m + 21. Calculate the remainder when 20\/6*b\/p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72722424 is divided by 4259.\nAnswer: 4258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, 77, -0.5 in increasing order.\nAnswer: -132, -0.5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 84*a = 13*a + 1260 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -50.1. Let i = 4.19 + 0.01. Let n = i + -4. Which is smaller: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 49*s**2 + 36*s**2.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 150*m**3 - 153*m**2.\nAnswer: 3*m**2*(m - 51)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34555\/949 >= 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16455.7792 + 7.43?\nAnswer: 16463.2092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23*-84.91\nAnswer: 1952.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -45*y + 545. Let c be r(12). Let z(k) be the second derivative of 0 - 1\/150*k**c + 1\/30*k**4 + 0*k**3 - 5*k + 0*k**2. Factor z(o).\nAnswer: -2*o**2*(o - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 1. Let p be b(-1). Suppose 5 + 10 = p*u. Suppose -w + u + 3 = 0. What is the least common multiple of 1 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 425*i**2 - 8340*i - 28980.\nAnswer: -5*(i - 46)*(i - 42)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-10*8\/(-20). Suppose -o*n - 51 = -7*n. Suppose -4*b - 4*i = -40, -n = -4*b - 5*i + 23. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.3. Suppose -2*z - 33 = 15. Let t be z\/8 - 2\/((-6)\/9). What is the closest to 0 in x, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4 + (-1 + 3 - 4)*(2 + 0 - 1))*(77232*u - 77230*u + 17415 + 14785).\nAnswer: -2*u - 32200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89 + 97 + 7289*f + 144 - 330 to m + c*f and give c.\nAnswer: 7289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 1. Let g be m(-3). Let w be 186\/g + (-2)\/(-5). Suppose d - 3*x = -x + w, -d + 4*x = -15. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 394147325?\nAnswer: 394147323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = h - 4*i - 137, -41*i - 89 = -2*h. What is the highest common divisor of h and 1407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + (-289 - -307)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2483974316 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -385*x**6 + 19*x**5 - 40645*x**2 + 2*x + 2.\nAnswer: -46200*x**3 + 1140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q + 135*q - 32*q - 38*q - 6935 for q.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 20*j = -5830. Suppose -5*m - j = -320. What is the highest common factor of 473 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7589391 + 9?\nAnswer: 7589400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -368\/3, -0.4, 0.1, -1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 77*a + 3. Let n(x) = -1. What is b(i) + n(i)?\nAnswer: 2*i**2 + 77*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6271278899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -25*h**2 + 251*h - 397. Determine p(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/k**7*(k**8\/k)\/((k**(2\/9)*k*k*k)\/k))**(-2\/145) assuming k is positive.\nAnswer: k**(187\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 r when four letters picked without replacement from ssrrsrsstrr.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:58 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4216b (base 15) in base 4?\nAnswer: -303022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54\/(-2 + -4 + 5). Let s be (-189)\/g*(0 + 12). Find i such that 4 - 15*i**2 + 32*i**3 + s*i - 18*i - 45*i**2 = 0.\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 101. 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 the highest common divisor of 21138103 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) + (-62)\/8. Let q = -577 - -577. Let j be 0 + q - 70\/30*3. Which is bigger: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q, -y = -5*q - 13 + 44. Let d be 10*(8\/(-5) + 0). Let x = y - d. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4))**26)**(1\/12) assuming s is positive.\nAnswer: s**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 0.3, -1, 422.7, -22.6, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448) + -1)**2 + (1*(sqrt(102) + (sqrt(102)*-3 - sqrt(102) - sqrt(102))))\/sqrt(6).\nAnswer: -28*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -2*g + 4, -4*g - 16 = -4*j. Suppose g = -5*l + 2*s + s + 11, s = 2*l - 4. Is l > -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4884804 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*l**3 + 2124*l**2 - 5045*l**2 + 2921*l**2.\nAnswer: 150*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/5)*t*t)\/t)\/t**(-3)*(t**0)**24 assuming t is positive.\nAnswer: t**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovx when three letters picked without replacement from bdoobvbxbvbv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - d + d)*((-5*d + d + 3*d)*(-2 + 4 - 4) + 25*d - 11*d - 20*d) in the form l*d**2 + k + z*d and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5923161598 to the power of 1\/2, to the nearest integer?\nAnswer: 76962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14490)\/(-92))\/105)\/((-2)\/80).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30184 and 33775896.\nAnswer: 33775896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q + 2 - 12*q**2 + 11*q**2 - 2*q. Let j be p(5). Let y(v) = -v - 2*v**2 + 0*v + 3*v**2 - 7 - j*v**2. Give y(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.49704 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 14*p - 4. Let o(f) = 13*f - 3. Give 5*o(b) - 4*z(b).\nAnswer: 9*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 261 + -2354\/9. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:41 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1341 and 25\/53789.\nAnswer: 484101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfhhhdf. Give prob of picking 2 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 - 6*g**3 + 13*g + g**2 + 5*g**3 in the form u*g**3 + q*g + c*g**2 + n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.044 + -23.206. Let j = v + 4.55. What is j rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -4 - (11 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**3 - 10*h + 5*h**2 - 4*h + 14*h.\nAnswer: -10*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04308 rounded to 4 dps?\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*n = -22, -5*u - 5*n = -2*u - 28. Suppose -u = g - 7. What is the units digit of -10 + 12 - (0 - g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17989\/744 - 570\/31. Calculate the common denominator of (28\/(-8))\/(42\/(-22) + 2) and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) -3\/5 (b) 2\/23 (c) 1 (d) -2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14352565 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1199 - 740. Calculate the remainder when 2*(s\/(-6))\/9*-6 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -177084.\nAnswer: 177061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -318 + 318.0175. Let q = h - -0.4825. What is the biggest value in -0.1, 7, q, 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140 is divided by 130.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -52. Let x = h + -25. Suppose -16 = x*n - 7*n. Which is the third biggest value? (a) 0.02 (b) -1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 12:19 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-82)\/(-2) - (-8 + 36\/9). Is r\/(-60) + 2459\/4 + -1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -5*i**8\/56 - 13*i**4\/24 + 13*i**2. What is the second derivative of b(o) wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - -4.2. Let k = -1.2 + p. What is the closest to -1\/4 in 0.5, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 16 - q + 4*q + q**3 - 17 - 2*q**3. What is c(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnrj when four letters picked without replacement from {x: 1, j: 2, c: 2, n: 2, a: 1, r: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 55*p**2. Let a be n(-1). Let l = -27 + a. What is the greatest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 10*m + 10*m - 6*m in the form u + d*m and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0 - 0)\/1. Suppose 12 = y - 3*y - 4*a, m = -4*y - a + 4. Calculate the remainder when 36 - (-3 + 0 + y) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443609977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1509 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 - 123823323793 + 123823323793.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 56. Suppose l = 5*f + 23. Let z = 83\/42 + -17\/6. Does f = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**2\/2 + 2*p + 1. Suppose 7*c - 28 = -0*c. Let g = -8 + c. Give t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/11 - 14*s**3\/11 - 678*s**2\/11 - 1594*s\/11 + 5980\/11 = 0. What is s?\nAnswer: -13, -5, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4376800 and -0.1.\nAnswer: 4376799.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2128618 and 6.\nAnswer: 6385854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-96)*-4*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 783, 1574, 2377, 3198, 4043, 4918, 5829, 6782?\n\"Answer: m**3 + 784*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9))**(-3\/13)\/(n**(-1\/4)\/n*n**(-21)\/n) assuming n is positive.\nAnswer: n**(1317\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 27155*q**2 + 36139560*q - 1992419460 = 0. What is q?\nAnswer: -2742, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 38. Let w be p(19). Suppose 2*h - 4 = -w*h. Suppose 0 = 8*o - h*o - 108. What is the highest common divisor of o and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 9*d**2 + 12*d + 17. Let n be l(7). Suppose -k + 5 = b, -4*k + 8*b = n*b - 20. Let p = 3 - 5. What is the closest to -1 in p, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*k - 54*k = 166*k - 11502 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0997 less than 0.00561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 21*t + 6. Let q be b(9). Is (-10 - -405)*q\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45622788 divided by 3801899?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 187442.65 and 71.3337.\nAnswer: 187513.9837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/37? (a) -2\/17 (b) 21 (c) 1219 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = y - 2*j, 2*j = -5*y + 49. Let k = -6 + 1. Let p = k + y. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510662.04 minus -1?\nAnswer: -510661.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3094, -6232, -9416, -12646?\nAnswer: -15922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/236700 and 121\/23670.\nAnswer: 236700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + 3324. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 8) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2684 + 15.15431\nAnswer: -2668.84569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993780 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(6\/11)*f\/((f\/(f*f**(2\/75)\/f))\/f) assuming f is positive.\nAnswer: f**(1222\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1741.6 + 1742.2. Which is the closest to v? (a) 0.2 (b) -2 (c) 106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404?\nAnswer: 2, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhj. Give prob of sequence hj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -104 divided by 26\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/4572464 and 75\/571558.\nAnswer: 4572464","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n + 9. Let w(g) = -50*g - 44. Let z(f) = f**2 + 13*f + 1. Let a be z(-12). Let x(k) = a*v(k) - 2*w(k). What is the derivative of x(y) wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + 3933456 - 3*g**3 - 2*g**3 - 3933456 + 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23\/40 - 9\/20. Suppose 0 = 4*f - 4*x + 2 + 18, -2 = 2*f + 2*x. Let y be (-3 + 1)\/((-8)\/f). What is the closest to l in -1, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -17. Let z be 3\/2*c\/12. Suppose -l = -0*l. Is z not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.94 - 7.24. Suppose 2 = -q - 1. Which is the closest to q? (a) u (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.47 + 0.37. Let m = 1 - 3. Let x = -7\/4 - m. Which is the third smallest value? (a) x (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46637 or 46634?\nAnswer: 46634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248*q - 124 = 250*q. Let d = q - -64. Solve z = 5*z - 3*v - 7, -d*z - 5*v - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*c - 19, 1 = 4*c - 3*j - 12. Suppose 2*q = 3*q - c. Let v = -2 + q. Solve -f = -v*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -36 - 60. Solve 7*t = 44 - u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -393?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x + 0 + 0. Let p(k) be the first derivative of k**2\/2 + 19*k + 85125. What is i(p(h))?\nAnswer: -7*h - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 21*f - 34. Let i be z(19). Suppose u + u - i = 0. Suppose u*p = 4*n - 546, -n + 142 = 4*p + p. Round n to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622456273 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2 + (2\/(-3))\/((-52)\/273)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 0 + 101*v**3 - 38 + 2*v**2 wrt v.\nAnswer: 303*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 0\/(10 + -6). Suppose 4*c - 20 = -2*g, 2*g - 5*c - 11 - 27 = d. Let x(v) = v**2 + 4*v. Let m(i) = -4*i**2 - 20*i. Determine g*x(r) + 3*m(r).\nAnswer: 2*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 2163 + -69225\/32. Let i = g + 1499\/96. Calculate the common denominator of 50\/11 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227 divided by -6\nAnswer: -227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 13 = -u, -3*w = 22*u - 18*u + 44 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = 3*n, n - 33 = -3*m - 16. Solve -g + 4*c = c + 2, 4 = 2*g + n*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 160?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/28 and -26\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-9))\/(4\/(-6)). Let i be ((-4)\/15)\/(x + -3). Sort 2\/7, 0.1, i in increasing order.\nAnswer: 0.1, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**1*k))**(38\/7)\/(k**(-8\/5)\/(k*k*k*k**(-2\/13)\/k)))**(-23) assuming k is positive.\nAnswer: k**(-5152\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 4*j + 15. Let z be n(-5). Let u(r) = -r**3 + 9*r**2 + 9*r + 12. Let k be u(10). Solve k*d + 5*p = -10 - 25, -4*d - z = -2*p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1795528703 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: Let t = -41 - -22. Let p = t + 14. Let q(c) = -c - 7. Let h be q(p). Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(-1 + 2) - (-7157 + 7153).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 140*s**2 + 25 + 9*s**3 - 8*s**3 - 107*s**2 + 61*s. What is the remainder when l(-31) is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21932? (a) 0.4 (b) 0 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -3*sqrt(192)*6)**2.\nAnswer: 55488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.7 - -8.8. Which is the nearest to v? (a) -2\/5 (b) -2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m + 1. Let n be l(-5). Suppose -2*y = z + n + 1, -z = -5*y + 9. Let h = -642\/7 + 92. Which is smaller: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from kkdnnandnnda?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-83)\/(1 + -2) - 2. Let h be ((-24)\/(-60))\/(2\/(-10)). Let o be (-4 - 2)*3\/h. Calculate the highest common factor of t and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008897 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6*q - 4*q - 100 = 0, -16 = -4*q. Suppose -4*n - c = 69. Let x = 35 + n. Calculate the smallest common multiple of 2 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/81)\/(406\/10962)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200220210 (base 3) to base 2.\nAnswer: 100101000000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3670 + 3668. Let s = -154 - -161.7. Let t = s - 0.7. Which is the closest to h? (a) t (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299598813.\nAnswer: 3, 33288757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 - 2*x**2 + 2. Let v be q(0). What is the second derivative of 67*i + 19*i**3 + 20 + 18 + i**v - 69*i + 4 wrt i?\nAnswer: 114*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8962.\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157872 by -264.\nAnswer: -598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3\/3 - 2303875*r**2\/3 + 265430010635*r\/3 - 2918893870255 = 0?\nAnswer: 33, 230371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237 + -160. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 2*j - 10. Let f(b) = -b - 1. Let p(h) = -11*h**2 - 3. Let w(x) = j*p(x) + 3*f(x). What is the second derivative of w(n) wrt n?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1. Let t be 33\/(-44) - 83\/(-4). Let x(u) = -12 + t*u - 31*u + 13*u. Calculate -12*i(z) - x(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*n - 45*n - 99*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13956*m + 9992*m + 281444 = 0 for m.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1373*f**3 - 6*f**2 - 6*f + 12. Let h(p) = -586272*p**3 + 2561*p**2 + 2561*p - 5122. Give 6*h(l) + 2561*z(l).\nAnswer: -1379*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 = 97. What is the remainder when j is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2444 (base 5) to base 6\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-102)\/3) + 0. Suppose a = -2*q + 8, 2*q + 5*a = -8 + t. Let w(h) = -7 + 7 - q*h**2. Let r(b) = b**2. What is r(w(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**4 - 3 - 57137*s + 57133*s + 0 + 2*s**3 to the form o*s**3 + g + i*s**2 + m*s**4 + b*s and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011 - -11?\nAnswer: 11101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18599890 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2353171, -4706065, -7058945, -9411805, -11764639, -14117441, -16470205, -18822925?\nAnswer: -21175595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 959 = c, -c - c + 1925 = -3*i. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5457 times 0.048?\nAnswer: -0.0261936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -131346.64 to the nearest one hundred.\nAnswer: -131300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, r: 9}. Give prob of picking 2 q.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 277237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174.5 + 175. What is the biggest value in t, -6, -0.4, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 226642720?\nAnswer: 226642723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 15 = -18*b. Suppose 3*t - t = -6, b*t - 36876 = -5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ppppppppplpslppl?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let t(x) = 6*x - 5. Let u(w) = -5*g(w) + t(w). Let k(n) = 357*n. Let a(f) = 16*f. Let l(y) = 68*a(y) - 3*k(y). Calculate l(u(q)).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3496 is divided by 40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 2, p: 4, b: 1, k: 1, x: 2}. Give prob of picking 1 k and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/6 + 2*h**2 + 3*h. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*a**2 + a - 244089 + 244089 in the form g*a + u*a**2 + w and give u.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11.9? (a) -58 (b) 18 (c) -0.1 (d) 2\/7 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 64*p + 511. What is l(48)?\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/(-24*(-57)\/608)*9*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 15*d**2 + 27*d - 114. Calculate j(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26854, -53513, -80166, -106813, -133454?\n\"Answer: 3*s**2 - 26668*s - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 + 15 + 11)*(0 + 2*m**3 + 0) as y*m**3 + n*m**2 + v + c*m and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085431 rounded to four dps?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*562\nAnswer: -337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1008) - sqrt(1008)) + -4 - (1 + sqrt(1008) + 1)) + 2 + (-4 + 1 + sqrt(1008) - sqrt(1008)))**2.\nAnswer: 504*sqrt(7) + 9121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 137 + 111 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 87755, 86771, 84095, 78881, 70283, 57455, 39551?\n\"Answer: -141*v**3 + 3*v + 87893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*y - 6, 0 = j - 4*j - 15. Let d be ((-3)\/(-2))\/(3\/y). Calculate the lowest common multiple of 6 and 4\/d*(0 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 804 or -207?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.96. Let t = 10.04 - i. Let m = -6 + t. Sort 5, 0.4, m in decreasing order.\nAnswer: 5, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**2 - 1. Let q(g) = -g**3 - 8*g**2 - 6*g + 8. Let t(i) = 7*i**3. Let l be t(-1). Let m be q(l). Let w(s) = 1. What is m*o(f) + w(f)?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 - 11*b + 22. Let i be t(-5). Suppose -4*y - 185 = -o - i*o, 4*y = o - 51. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*o + 184*o - 372 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250596982 is divided by 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*a - 4*n - 1, 5*a - 5*n = -10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (62 - (-17 + 30 - 35)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - r - 280 = 0. Calculate the highest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4063 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1511*b = 758*b + 756*b + 18 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 + -123. Suppose 5*x + t = 211. Suppose x = h + 10. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131332002 (base 4) in base 10?\nAnswer: 122754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**2 - 5. Let n(m) = -3*m**2 + 2. Let h be -4 + (-7)\/((-14)\/4). Give h*c(f) - 5*n(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 - 2 - -2. Solve -2*x - 10 = -3*c, b = c - 3*x - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83408 and 2158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 0.8000413. What is q rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49212723 divided by -16404241?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140672 = -15926*b + 15940*b. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 56, 95, 166, 281?\n\"Answer: 2*f**3 - 2*f**2 + 11*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 39*h**2 + 36*h - 71. Let d be c(40). What are the prime factors of d\/(-11)*(42 + 1)?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 13 = g, -39 = 3*g + 9*y - 14*y. Sort -52, g, 5.\nAnswer: -52, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 + -0.3. Let x = 1.74 - t. Round x to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/9680 and 6\/144595.\nAnswer: 2313520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22200221121111 (base 3) in base 9?\nAnswer: 8627544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a3452 + -5?\nAnswer: -8a3457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12280 - 12269. Let f(r) = -37*r**3 + 2*r**2 + 2*r + 1. Let i(v) = -v**2 - 6*v - 6. Let a be i(-5). Calculate the remainder when f(a) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 - g**3 + 2*g**3)*(6 - 6 + 11*g).\nAnswer: -33*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412223?\nAnswer: 7, 58889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 145*c - 24. Determine a(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 359.54658us?\nAnswer: 0.00000009987405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6499894, 6499890, 6499884, 6499876, 6499866, 6499854, 6499840?\nAnswer: 6499824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*h**2*z - 21*h**2 - 2*h*z**2 + 730*z**2 wrt h?\nAnswer: 20*h*z - 42*h - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 1, a: 1}. Give prob of picking 1 a and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 59\/(-5) - (-418)\/38 - (-4)\/3. Which is the nearest to -0.1? (a) 1\/32 (b) 1\/4 (c) k (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8*((-3440)\/(-128) + -24)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4) + (5 - 3) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10*i**2 + 4*i**2 - 6 - 13*i**2 - 9 + 10*i. Let s(h) = -h + 5. Let m be s(-5). Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*((-4 - 2) + 15)\/(6\/(-186)). What is the greatest common factor of j and 8091?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 + 428 + 618)*(5*m - 4*m - 3*m)*(-4*m**3 - 2*m**3 + 5*m**3) as o*m**4 + s*m**3 + c*m + i*m**2 + w and give o.\nAnswer: 2202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 22. Let m be q\/(-15) - (0 + -4). Suppose -2*t + 7 = n, -2*t = -m*n + 47 + 6. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 2949765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.791 + 16.6. Let s = 0.391 + p. Sort -10, -3\/5, 3, s.\nAnswer: -10, -3\/5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.13 (b) -33 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/3? (a) 13 (b) -0.7 (c) 1\/14 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137890.\nAnswer: 2, 5, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -11*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-4)\/((-80)\/(-45))*6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2. Let u be -2*267\/180 - -3. Let q(a) be the third derivative of 0 + 0*a**3 + 0*a**4 - 3*a**2 + 0*a - u*a**5. Give q(m(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 113344 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -94*i**2 - i + 1. Let d be w(2). Let g = 700 + d. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1512)\/1260)\/((-4)\/(-170)))\/3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (((-24)\/77 - 72\/132) + -2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*y + 5816*y**3 - 662*y.\nAnswer: 5816*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 16*h = 87. Do h and 211 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 314136807 and 525.\nAnswer: 314137332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -827, 669, 4723, 12613, 25617, 45013?\n\"Answer: 213*x**3 + x**2 + 2*x - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2754\/(-12))\/(-9)*(-2 - -4). Let a = -54 + h. Which is bigger: -42\/25 or a?\nAnswer: -42\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*x + 2*q + 5 + 1, -2*q - 45 = -3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101488 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3035 (base 11) to base 8\nAnswer: -7677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a + 9*a - a - 10*a - 2*a. Let z(k) = 10*k**2. Calculate m(z(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-99)\/(-6) + 1\/2. Which is greater: j or 16?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 473182*m + 167562 wrt m?\nAnswer: 473182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/6 + 2375*f - 14244 = 0. What is f?\nAnswer: 6, 14244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c - c**3 + 2*c**3 - 3*c**2 - 14*c. Suppose j - 4 = -3*j. Let w(a) = a**3 + 1 + 2*a**2 - 3*a**2 - a - 1. Determine j*g(t) - 3*w(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -496.274 + 500.7. Let c = f + -0.426. What is the closest to -2\/7 in -2, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(8) + sqrt(48)\/sqrt(24)))\/(sqrt(84)\/(sqrt(48)\/sqrt(4)) + (sqrt(7) + sqrt(112))*1).\nAnswer: sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3 - (-944)\/(-12). Let r = -47 - c. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*u - 2*u + 20, -4*u = 2*s - 14. What is the common denominator of -109\/6 and (-218 - u)*1\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33819 from -24069.\nAnswer: 9750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - -4a?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 20238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 5*x - 5. Let z be q(-3). Let p = 15 - z. Suppose -30 = -2*o + p. Calculate the highest common divisor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14963, 29926, 44891, 59858, 74827, 89798, 104771?\nAnswer: 119746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16419*g = 16325*g - 2726 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 16, 2*r - r = -5*x - 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqml when four letters picked without replacement from lflbflflmqm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -25\/4*c**2 - 5*c - 3 + 5\/2*c**3. Factor a(v).\nAnswer: 5*(v - 2)*(3*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 33. Give z(6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 - 204*s - 169488\/5.\nAnswer: 2*(s - 642)*(s + 132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2 (c) 0.02 (d) -2\/7 (e) 16 (f) 40\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 2)*(6 - 7 + 2)*(15*g - 4*g - 7*g) in the form i + n*g and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -891964*z**2 - 3*z + 2. Let o be v(2). Let f be (861310*-1)\/((-3)\/18). Let n = f + o. Round n to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.5 (c) 1\/5 (d) 4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*(-73)\/(-8))\/((-2)\/(-8)). Let n = 180 + k. What are the prime factors of n?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-8\/3)\/k)*k*k*k*k**(-16)*(k**(-3)*k)**(-10\/9) assuming k is positive.\nAnswer: k**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/20 - 7*c**3\/2 + 13*c**2. Let k(y) = -y. Calculate m(k(s)).\nAnswer: 3*s**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/24*-29 + ((-42)\/24 - (-1837)\/1002)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:51 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4020 by 4.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1068 - 1147. Let m = -2214.98371 - r. Round m to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75758.57662 to the nearest 10.\nAnswer: 75760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(50)*-1 - sqrt(50)) + -1*sqrt(1800))\/(sqrt(100)\/((sqrt(10) + 2*sqrt(10))*6)).\nAnswer: -108*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -2. Let f = -921\/134 - -11705\/1742. Which is the fourth biggest value? (a) -184 (b) 2 (c) f (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 390, -17.\nAnswer: -17, -5, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62920, 117805, 172690, 227575, 282460?\nAnswer: 337345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**4\/48 - 34*d**3 + 20808*d**2 - 6*d. Factor b(t).\nAnswer: (t - 408)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 3*h**3 + 0*h**3 - 3*h**3 + 4*h**3 - 3*h**3 + (-h - 8*h + h)*(h**2 + h**2 - h**2) - 2*h**3 + h**3 + 7*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*(l*l**0)\/l)*l)\/l)**(2\/15)*(l\/((l*l\/(l\/l**0*l)*l)\/l))**26 assuming l is positive.\nAnswer: l**(388\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448657 is divided by 63578.\nAnswer: 3611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -6*i - 33. Let m be h(0). What is the common denominator of -101\/14 and m + -8*(5\/10)\/1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*q + 22, 2*q + 3*q - 4*n - 32 = 0. Let i(t) = -t**2 + 18*t - 50. Let g be i(15). Sort g, 1, 5, q.\nAnswer: g, 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -167\/3, 0.31, 2.5?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19384*u - 79 + 79.\nAnswer: -19384*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -360488 divided by 2?\nAnswer: -180244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 231976894, 231976893, 231976892, 231976891, 231976890, 231976889?\n\"Answer: -a + 231976895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3 - 57. Let v be (o\/(-10))\/((-3)\/(-10)). Calculate the greatest common factor of v and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(605) + (sqrt(45)*4)**2)*-1.\nAnswer: -722 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162))**2*2 + (6*sqrt(32) - sqrt(162)*-1).\nAnswer: 33*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750 = -130*d - 460 - 9260 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 16, -14, -80, -194, -368, -614?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 17334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -474 + 474.3. Let i = -0.2 + 0.1. Let k = -2.6 + 0.6. What is the closest to i in k, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 135*p = 142102 + 114632. What is the remainder when p is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268675076 by 1.\nAnswer: -268675076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 857380399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -265, 5, -11222 in decreasing order.\nAnswer: 5, -265, -11222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r + 93453056. Let a = r + 14963264. What is a rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqelqeqsq. Give prob of sequence sel.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55305 (base 6) to base 2.\nAnswer: 1110111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - 63. Let u = p + -76. Suppose -3*g - u*r + 31 = -r, 2*g - r = -1. Solve 4*m + g = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 3. Let f be ((-35)\/(-3))\/(1\/3). Suppose -z = 4*z - f. Calculate p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 23460 - 9304 + 74618 = 0. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1188783 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/2*((-444)\/111)\/(-3*2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22246 and 11319?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 3*m - 9. Let r be u(-7). Let t(j) = -3*j + 3. Let z be t(3). Let y = z + r. What is the greatest common factor of y and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 42. Suppose j*w - 2*w = 11400000. What is w rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:48 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 190 = -5*p. Let b = p - -59. Let n = b + 91\/4. What is the nearest to n in 4, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l - 7 + 8*l - 7*l**2 + 6*l**2. What is p(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0 - (80 - 64)) + (224 - 92)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/90)\/((-14)\/(-1164)). Let b = 57542\/15 + -3834. Let q = x - b. Which is smaller: q or 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -306532*p**4 - 307987*p**2 wrt p?\nAnswer: -7356768*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s. Let j(g) = 2*g. Give h(j(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 90\/(-55))\/(873\/3201).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1752 - 0.1752. What is the biggest value in 0, p, 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 + 3*a. Let d be b(-3). Let h be 0 - -1 - d\/3. Let z = 4 - -1. What is the second biggest value in h, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*f + 40, 21 = 4*f + 2*g - 31. Suppose 7*t - 9 - f = 0. Solve 4*b = -4*y + 4, -5*y - 3 = t*b - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5 = 4*q - 3*q, 0 = 4*q - 3*a + 15. Let s(h) = 2 + q - 5*h + 0. Let g(v) = 6 - 24*v - 2 + 6. Calculate -3*g(i) + 14*s(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12909 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2843047 - 9*i**3 - 2843047.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7038.329 centuries to years.\nAnswer: 703832.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2834.4 + 2954. What is t rounded to zero dps?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 314 = -3*z, 3*z = 3*f + 323 - 44. Suppose 8 = -2*o, 0 = -5*s + o + 2*o + 22. Suppose -z = r - s*r. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:44 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 9*v**2 - 81*v**3 + 51*v**3 + 29*v**3 + v.\nAnswer: -v**3 + 9*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 0 - (32 - (15 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 60 = 3*l, 0*k + 3*k - 108 = -4*l. Let o = -21 + l. Suppose -2*r = o*g - 129, 3*g - 2*r - 70 - 47 = 0. List the prime factors of g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**4 + 28*p**2 - 4 + 543*p**3 + 435*p + 28*p**2 - 13*p**2 - 435*p wrt p?\nAnswer: -24*p + 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 2*g + 3*b - 14, g - 4*b + 14 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003 = 3*l - r, -2*r + 1344 = -3*l + 7*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29815000 to the nearest one hundred thousand.\nAnswer: -29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 16 + 0)*(3*y + 0*y - y).\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/9, -5, 331 in descending order.\nAnswer: 331, 2\/9, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least -897\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356160 divided by 28.\nAnswer: -12720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 2 + 0 - j**2 + 0 + 2*j**2. Let q(l) = 5*l - 4*l - 2*l. Determine d(q(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2 - -4)\/(11 + (-876)\/72)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - z**3 - 3085*z - 6 + 3080*z + 10*z**2. Calculate the remainder when y(5) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3235, -3.\nAnswer: -3235, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1448, 1449, 1450, 1451, 1452, 1453?\n\"Answer: n + 1447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3\/6)\/(2\/28). Let k be 27\/12 + 3\/4. Suppose 0 = -h + y - 3*y + 6, -k*h - y = -13. Solve 3*p + h = n*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, u: 1, m: 2, s: 2, r: 1}. What is prob of picking 2 z?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(21\/(-70))\/(102\/(-476))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 351865690, 703731380, 1055597070, 1407462760, 1759328450, 2111194140?\nAnswer: 2463059830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t - 60. Let a be i(-6). Solve -u = -4*z + 25, -5*u - a = -z + 12 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 6789?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3288, 4, -2, 0 in decreasing order.\nAnswer: 4, 0, -2, -5, -3288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/8 of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 93. Suppose 10*z = 6*z. Let r be b(z). Round r to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 23*h**2 - 4 - h - 2*h**2.\nAnswer: -25*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 2*i - i + (i - i - 2*i)*(4 - 1 - 2) + (5 + i - 5)*(3 - 5 + 6) to the form w*i + v and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 32 = -4*x + 2*g, -5*x - g + 12 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 330*v + 368 - 155*v + 797 + 693 - 169*v + v**2 in the form k + m*v**2 + y*v and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -293*d - 1. Let h(r) = 10*r**2 + 9*r - 3. Let v(m) = -17*m**2 - 15*m + 5. Let k(b) = 10*h(b) + 6*v(b). What is k(f(z))?\nAnswer: -171698*z**2 - 1172*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2 - (570\/(-156) - -4)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 13024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/32 and 89\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.9142 decades in centuries?\nAnswer: 4.49142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 19776?\nAnswer: 1522752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, t: 2, i: 11}. What is prob of sequence rrrt?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 2*s - 1. Calculate h(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34*c*w**3 + c*w - 7633*c + 149*w - 4 wrt w.\nAnswer: 102*c*w**2 + c + 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52895 - 2*y**3 + 52895.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0408668168 to six decimal places.\nAnswer: -0.040867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 124082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + (sqrt(75) - (sqrt(75) + 2))*-1 + sqrt(75))*6*6)**2.\nAnswer: 233280*sqrt(3) + 921456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u - 4. Let q = 1 - u. Let h be q\/((-124)\/60 - -2). Calculate the highest common divisor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. Give prob of picking 3 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000137886 to six decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -1010103?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u = 5*d - 89, 5*d + 16*u + 13 = 25*u - 12*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1 (c) -2\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/7 + 685810*z\/7 - 5486608\/7 = 0 for z.\nAnswer: -342913, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from aaneepb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1088, 4306, 9678, 17210, 26908, 38778, 52826, 69058?\n\"Answer: p**3 + 1071*p**2 - 2*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 b, and 1 t when four letters picked without replacement from {g: 1, i: 1, q: 1, t: 3, a: 2, b: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -22*f + 153. Let x be b(7). Let d = 0.24 + -0.64. Let c be (-24)\/135 - (-4)\/(-18). What is the nearest to c in x, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 1\/3*v**3 + 0 - 3*v - 37\/4*v**5 + 1\/12*v**4 + 1\/2*v**2. Is a(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4 + 4724*m**3 + 75042*m**2 - 71280*m - 2111400 = 0.\nAnswer: -2346, -15, -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**5 - 2997*q + 2997*q - 210*q**4 + 210*q**4 - 2*q**5 + (-3*q**3 + 0*q + 0*q)*(0 + 0 + q**2).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0*r**2 + r**2)*(0*r - 2*r**3 + 0*r) + 5*r**5 - 3*r**5 - r**5 - 9*r**5 + 2*r**5 + 18*r**5 - 8 - 2*r**3 + 1719*r**5 - 1721*r**5 + 4*r - 22*r.\nAnswer: 14*r**5 - 2*r**3 - 18*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57226.999881486 - -57227. What is i rounded to six decimal places?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -139723, -139738, -139779, -139858, -139987?\n\"Answer: -2*u**3 - u**2 + 2*u - 139722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 3, j: 5, f: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - s + 19 + 8 = 0, -3*j + s + 21 = 0. Suppose -j*t + 2*t = -18. Let n(i) = 8*i**3 - 4*i - 1 - 6*i**3 - 3*i**2 + 0. What is n(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 - 5*l - 4. Let o be s(4). Let c = o + -9. Suppose 9*x - c = 3. Solve y + 1 = -3*f, 3*y - x*y = -5*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.94*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 786*v**2 - 10*v + 20. List the prime factors of z(2).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/(-115)*(-8)\/21)\/(58\/725).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i - 18. Let l(d) = d + 1. Let m(j) = -f(j) - l(j). Let k = 1224 + -1213. What are the prime factors of m(k)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**2 - 5*h + 28. Let a(i) = 43*i**2 + 15*i - 83. Let u(d) = 3*a(d) + 8*l(d). Give u(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udgd when four letters picked without replacement from ugdd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 22 = -2*s, -330*g + 20 = -4*s - 334*g. Is s at most 17\/1518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 11:09 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y - 167 + 209 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -784 by -112.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.44 + 120.56. Let r = u - 122. Let n = 112 - 229\/2. What is the smallest value in n, -0.3, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080877884?\nAnswer: 2, 3, 17, 211, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 279 + 1522. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15795)\/26)\/(-27)*3\/30*-4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u - 5*u - 19*u.\nAnswer: -35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -137.4. Let q = 15 - 13.4. Let x = o + q. Is x greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -41 + (-2)\/1 - 1. Let r(g) = 6*g + 40. Suppose -22*j = -8*j + 196. Let f be r(j). Is l not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 9*f + 11. Let r be h(-7). Let m(i) = -i**2 - 6*i + 10. Let z be m(-7). What is the closest to r in 0.4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -19 - 3. Calculate the smallest common multiple of d and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, 9\/5, 1, -0.13 in decreasing order.\nAnswer: 2, 9\/5, 1, -0.13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 19 + c + 0*c - 3 - c + 3 + (1 - 4 + 5)*(c + c - c).\nAnswer: 2*c + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 - 3\/15. What is the second smallest value in -2\/13, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 140991\nAnswer: 140988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-1926)\/(-81) + -10.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -528 * -0.06.\nAnswer: 31.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/927 or -22497?\nAnswer: -22497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 595 - 135 = 3*u, 0 = 2*u - 3*k - 307. Let l = u + -90. Suppose -i - i = -l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.43 + -0.07. Let s = 2.42 - 0.42. Which is the third smallest value? (a) t (b) s (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 14*g**2 - 15*g + 3. Give h(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1917448.045 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 68 = -2*h, -5*a + 108 = 4*h - 8*a. Calculate the smallest common multiple of h and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 11*r**2 - 4*r - 22. List the prime factors of y(-8).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddduddddddddddddd. Give prob of picking 3 d.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(17\/5))*o*o**36)\/(o**(-2\/55)\/o**32) assuming o is positive.\nAnswer: o**(733\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*t**3 - 70*t**3 - 160*t**3.\nAnswer: -312*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 869066, 1737933, 2606800, 3475667, 4344534?\n\"Answer: 868867*t + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*w - 96 = 0, -5*w = 2*f - 31 + 250. Let o = 107 + f. Calculate the remainder when 15 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.41265 * -5\nAnswer: 37.06325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19517607 minus 107.961?\nAnswer: 19517499.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132251 in 1\/4, -0.2, 2, 0, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*p - 3*f + 16, 5*f + 10 = 0. Sort -275, 1, -3, p in decreasing order.\nAnswer: p, 1, -3, -275","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:07 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, j: 4, b: 5, k: 3}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -672949\/36 + 18695. What is the common denominator of 83\/4 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 6 + 2. Is 79 - (-4)\/(c - 0) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (51\/(-1))\/(6\/(-4)). Suppose -4*r - u + 98 = 0. Solve -r = -4*p - 0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.45264mm in nanometers?\nAnswer: 17452640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/3 (c) 0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/103, 4, -0.06, -0.3, 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -14?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 231*h. Let f(b) = -5*b. What is l(f(q))?\nAnswer: -1155*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 106*l**2 - 307*l + 840. What is t(103)?\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 5*r**3\/3 - 20*r**2 + 35*r + 11. Factor k(h).\nAnswer: 5*(h - 7)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8273 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1318 and 164.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4961552843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -3)\/((-4)\/(-2)). Suppose 3*g + 0*g = 12, y = -i - 3*g + 8. What are the prime factors of (18\/i)\/((-6)\/16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49215943+-5\nAnswer: 49215938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 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: Solve 2*h + 2*h + 16 + 16 = -4*k - 0*h, k + 4*h = -26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*sqrt(891) + sqrt(891))*-3 - (sqrt(891)*5 + sqrt(891) + -1)).\nAnswer: -4 + 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i - 44. Let r be b(-7). What is the greatest common divisor of r and 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0458374 to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 33740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(68) - -4*(sqrt(68) + 1*sqrt(68)) - sqrt(68) - sqrt(68) - sqrt(68)))\/(sqrt(12)\/(sqrt(48)*-3)).\nAnswer: 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = 8*m. Let b be 444 + 20 + 1*m. Let f = b + -291. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**3\/l)**(-23) assuming l is positive.\nAnswer: l**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215985 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -23*g**7\/105 + g**4\/24 - 25*g**3\/3 - 31*g**2 - 1. Differentiate m(c) with respect to c.\nAnswer: -184*c**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*2*sqrt(228))\/(-4*(sqrt(132)*-1)\/sqrt(11)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170812 is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 13310, 46459, 110966, 217283, 375862, 597155?\nAnswer: 891614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148 or 0.167?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -501 (base 8) to base 9\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from kmkm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 38. Let n = 36 + s. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 3*n + 13 + 14)*(n**2 - 5*n**2 + 2*n**2) - 3*n**3 + n**3 + 0*n**3 in the form z*n + f*n**3 + r*n**2 + o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 8 + 17*p**3 - 14*p**3 in the form w*p**3 + r*p**2 + u + m*p and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478 - 27*h**3 + 243 + 235.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 390 - 296. Solve -s + 49 = -9*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-5\/4))\/g)**13 assuming g is positive.\nAnswer: g**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121728 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-27)*(-36)\/8. Suppose 2*o = -w*d + 36, -4*d + 2*o + 107 = -o. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230 (base 9) in base 6?\nAnswer: 11343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) -6\/7 (c) -4 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 4c?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 2 - 5 - 1. Let l be (1 + 4 + f)\/(2\/5). Suppose 603 = l*j + p, -j + 4*j + p = 363. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99*0.4\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6679*v**5*z**3 - v**5 - 4*v**2*z**2 - 15*v*z**3 + 14*v*z**2 - 4*z**2 wrt v.\nAnswer: -400740*v**2*z**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 3:16 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/63*3)\/(-4*(-2)\/16).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 13, x: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1446*c - 1092*c + 4093*c + 783*c.\nAnswer: 5230*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/32 and 63\/88.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 3*l**2 - 2*l - 5. Let j = -738 + 741. Calculate a(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)\/u)\/u)**10 assuming u is positive.\nAnswer: u**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*l**2 - l**3 + 25*l**2 - 23*l**2 to i*l**2 + c*l**3 + g*l + d and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8785 and 1255?\nAnswer: 8785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3679*d + 153142 = 53809 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -19*i**7\/42 - 3*i**3 - 18*i. What is the second derivative of b(s) wrt s?\nAnswer: -380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/27)*x**(-23))**36 assuming x is positive.\nAnswer: x**(-2476\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.24 and 159.\nAnswer: -197.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*s - 6, -3*s + 7 = 3*g - 4*s. Solve -31*y - g*y**2 + 6*y**2 + y - 9*y**2 + 35 = 0 for y.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -286?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52174470?\nAnswer: 2, 3, 5, 89, 19541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19739.\nAnswer: 19739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 34*n + 42. Let m(y) = -6*y + 19. Let x be m(6). Calculate the remainder when 670 is divided by z(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(270) - 2*sqrt(270))*-3)\/((sqrt(72)*-2)\/sqrt(12)))\/(-1*sqrt(90)\/(sqrt(60)\/(-1*sqrt(6)))).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32311 + 156?\nAnswer: 32467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/5 + -27\/20. Which is the nearest to 1? (a) 2 (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -310, -299, -284, -265?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37467 is divided by 10517.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k**5\/2 + 335*k**4 - 401*k**3 - 6*k**2 + 79*k\/2 - 5 = 0 for k.\nAnswer: -10, -1\/3, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 80*s = 88, c - 2*s - 116 = 0. Calculate the highest common factor of 50556 and c.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-8 - (-65 - 5))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106997 greater than or equal to 107007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2\/(-5) + (-49786)\/310. Do r and -176 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 2*m = -18, -115*r + 3*m - 7 = -113*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {o: 1, v: 2, l: 5, n: 7, d: 1}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1955.\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -362100 divided by 25\nAnswer: -14484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 5*n - 3*n - 12*n in the form c*n + y and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8437944 by 351581.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 65. Let o(q) be the first derivative of q**3\/3 - 180. What is o(f(k))?\nAnswer: k**2 - 130*k + 4225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-18) - (-229)\/3. Calculate the greatest common divisor of h and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5869197116.\nAnswer: 2, 607, 2417297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p - p - p)*((1 - 4 + 14)*(6*p**2 - 3*p**2 - p**2) - 1 + 18*p**2 - 2 - 23*p**2) to r*p**3 + t*p + v + g*p**2 and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866947995 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (53 + 1)\/3. Let z be (-4)\/2 - (-32)\/c. What is the nearest to 2 in 0.5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 30*x**3 + 22*x**3 - 94.\nAnswer: -8*x**3 - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18*2206.7\nAnswer: 39720.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (175\/(-21))\/(-5). Let r(d) be the second derivative of d + 0 - 3\/2*d**2 - t*d**3. What is the first derivative of r(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12469572 divided by -27.\nAnswer: -461836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4239*q + 42*q**2 - 4239*q)*(26 - 3 + 3) to the form k*q + a + f*q**2 and give f.\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 13*r**2 - 17*r - 1. Calculate y(-5).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -138*t + 17712. What is k(128)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k + 12 = 21*k. What is the remainder when 79 is divided by (-8)\/k*32\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1807)\/(-139) + 38\/(-3))\/(10\/(-306)) - -9.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1250, 1245, 1236, 1223, 1206?\n\"Answer: -2*l**2 + l + 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 5087520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37229840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 + 6)*(-2*s + 4*s - 3*s)*(-18 - 45 + 9) in the form f + c*s and give c.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2096 = 172*y + 15620 for y.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 143*g**2 - 2917*g + 7452. Determine f(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 59069323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(468)\/sqrt(4) - sqrt(65)\/sqrt(5)*2)**2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -68 - 2300. Is 37 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4874 = 526. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/28*392\/336 and (-4 - 65)\/(-2 + 12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3. Let m be u(1). Let l(n) = -13 + 8 + 7 - 2*n + n**m. Let g be (-1)\/(-2) - (-38)\/(-4). Let w(j) = 5*j**2 - 8*j + 9. Give g*l(c) + 2*w(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18320\/84 + 12\/(-126). Which is greater: b or 217?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15852350?\nAnswer: 2, 5, 317047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 11*t - 13. Let b be l(-9). Suppose b*n + m = 535, -n + 5*m + 86 = m. Suppose -3*k - n = -376. What is k rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 11 + 11 = 0. Suppose o = -16*g + 11*g. Solve -2*u + u - 2*w + 4 = g, 3*w - 4 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 3 + -7 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 888*p**6 - 17*p**5 + 3*p**3 - 3*p**3 + 58*p**2 - 887*p**6 wrt p?\nAnswer: 120*p**3 - 1020*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 divided by -559698?\nAnswer: 164\/93283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 111. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + 0 + -55 + 35.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -314160 * 9\nAnswer: -2827440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 3442*i\/5 + 573641.\nAnswer: (i - 2027)*(i - 1415)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22606 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l*l\/l**(-2\/81))*l)**(-24))**(-48))**(-1\/13))**(1\/5) assuming l is positive.\nAnswer: l**(256\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 1. Let l(n) = 14*n**2 - 21*n + 56. Let h(d) = l(d) - 5*y(d). What is the hundreds digit of h(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 - 75*v**2 + 34*v - 1701. Determine h(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 + 178840\nAnswer: 178840.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a*a**8*a)\/a*a)\/a*a*a**(7\/4)*a**4\/a**(1\/2))\/(a*(a*a*a**(-3\/5)*a*a)\/a*a**1*(a**(-2))**(1\/7)) assuming a is positive.\nAnswer: a**(1839\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k - 9. Let s be z(-1). Let i(g) = -g**2 - 5*g + 3. Let l be i(s). Suppose 4 = r - 1. Solve 0 = -l*f - r - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*n + 441791, -5*z + 88588 = -3*n - 647730. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/3 - -4. Suppose 0 = 5*x + 3*i + 2*i, 3*x - 4 = -i. Let z(s) = 2*s**3 - 3*s**2 + 2*s - 2. Let n be z(x). Put n, 3, m in descending order.\nAnswer: n, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*x - 530*x - 1873680 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/20 + 5*k**4\/12 - 4*k**3\/3 - 5*k**2\/2 - k. Is v(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 3 - 5*m**2 + 3*m**2 in the form x*m**2 + l + k*m and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3, 3*m - 6*z - 10 = -2*z. Let d be m\/(-10) + (-4500003)\/(-15). Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*c**2 + 9274185*c - 1324884.\nAnswer: 3*(c + 441628)*(7*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/126 and -83\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*f**(2\/25))**8 assuming f is positive.\nAnswer: f**(-1384\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:02 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*c - 0 + 2, 3*v - 16 = -2*c. Let s(n) = 2750*n. Let q be s(v). What is q rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191496512?\nAnswer: 2, 227, 219679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-12)*(-17010)\/(-3969).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-175))\/((-2)\/1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (171*r - 226*r - 191*r + (2*r + 0*r + 0*r)*(-5 - 1 + 4))*(-4 + 1 + 2 + ((-2 + 0 + 3)*(-3 + 0 + 2) + 1 - 2 + 0)*(4 - 2 - 1)) as c*r + m and give c.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*v - 667 = -3442, 2770 = -5*q + 4*v. Let a = q + 850. Suppose -4*l = o - 39, -a = -5*o - 0*l + l. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u**2. Let f(b) = 195*b. What is j(f(t))?\nAnswer: 342225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -777350 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*p + 9 = 0, 2*p - 5 = a - 0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32325 by -5.\nAnswer: -6465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -7) + -3 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**4 - 2*m**3 + 4*m**2 - m + 1. Let j(h) = 13*h**3 - 68*h**2 + 12230*h - 3. Let k(l) = -j(l) - 3*v(l). What is the second derivative of k(g) wrt g?\nAnswer: -36*g**2 - 42*g + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v = -21*v - 138. List the prime factors of v.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3543, -1.9, 1.4 in ascending order.\nAnswer: -1.9, 1.4, 3543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 3*g**2 - 2*g - 2. Let i be r(5). Let v = i - 1. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 5*w - 23. Determine n(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/8)*o)\/o*o*o**(5\/2)*o assuming o is positive.\nAnswer: o**(43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 j, and 1 d when three letters picked without replacement from khhdhkvhkjv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 516368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18*u - 12. List the prime factors of g(-5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204539, -204530, -204545, -204596, -204695, -204854, -205085, -205400?\nAnswer: -205811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ccccyycyccyyc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1006\/7 + -144. Let z = 210.799 - 211. Let t = z - 0.099. Sort h, 2\/5, t, -4 in increasing order.\nAnswer: -4, t, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 13. Let f(k) = 1 + 2 + 5*k**2 + k**3 - 2 + 2*k. Is f(h) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a - 215 = -1751. Solve 4*c + a + 8 = 4*u, 5*u = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*-2*sqrt(64) + 3*(sqrt(64) + sqrt(64)*2 + sqrt(64)))\/(((sqrt(160) + sqrt(160)*1)\/sqrt(8))\/(sqrt(160)*6 - sqrt(10))).\nAnswer: -2 + 368*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785068 is divided by 141.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -150949.\nAnswer: -150946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -46. Is (4 + -7)*(-22027)\/g*-10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 6*z - z - 22, 4*x - 88 = 5*z. What is the smallest common multiple of 12 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -165 - 0?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -454.\nAnswer: -90.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(0 + 4*(2*sqrt(1900))**2*-1)*-5 + 5.\nAnswer: -303993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 13. Let y be t(-15). Which is the smallest value? (a) y (b) -2\/17 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -14. Calculate the greatest common factor of g and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 55*a**4\/6 - 9*a**2\/2 + 14*a. What is the derivative of k(i) wrt i?\nAnswer: 220*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-910)\/52)\/35*12\/(-7)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 75. Let x be l(0). Let b be 2\/(x\/(-1 - 4)). What is the closest to -3\/4 in b, -2\/3, -3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (7 - (-15 + -1 - -38))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103333 (base 4) in base 15?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45129046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13292 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/5)\/((-63)\/(-315)). Is (-6 - o)\/(1\/27) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p = 340*p - 2786 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 1. Let f be l(1). Let c be 16 - (-4)\/(-2) - f. Solve -3*g - 4*i + 2*i + 12 = 0, 4*g - 4*i = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 55*w - 12. Let u be z(11). Which is the nearest to 0? (a) 3 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Let g be 14\/(-5) + 2\/2*3. Let d be 44\/48 - 2\/3. What is the closest to d in u, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007848 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1702660020 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21012010022200 (base 3) in base 5?\nAnswer: -1434232143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.5. Let o = 1137\/1178 - -28\/31. Let p = -12\/19 - o. Which is the nearest to -1\/4? (a) p (b) y (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -328*j**2 + 212*j wrt j.\nAnswer: -656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57796 is divided by 28894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*x**5 + 28*x**5 - x**5 + 12*x**5 + x**5 - x**5 + (x**2 - 3*x**2 + 0*x**2)*(0*x**2 + x**3 + 0*x**2) + x**5 + 0*x**4 + 0*x**4 + 3*x - 4*x**5 - 3*x.\nAnswer: 18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 6*w)*(62*w**3 + 51*w**4 - 62*w**3).\nAnswer: -51*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.25? (a) -2\/84531 (b) 11\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q. Let v be f(1). Suppose 2*z - v = -0*z. Let o be z\/11 + (-627010)\/55. Round o to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/12 + 3*x**2\/2 - 3*x. Suppose -2*h = 3 + 5. Is q(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80295 and 1855?\nAnswer: 562065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5100) + sqrt(5100) - sqrt(204)\/(sqrt(4)*3))\/((-3*(sqrt(12) - sqrt(12)*-2))\/(-2*sqrt(256))).\nAnswer: 1424*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Let b(x) = 5*x**2 - 6 + 2*x**3 - 4*x**2 + w*x**2. Let t(p) = 2*p**3 + 7*p**2 - 7. Calculate 7*b(z) - 6*t(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071875259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101 + -1010010100111?\nAnswer: -1010111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4082 and 0.1403261814?\nAnswer: 4081.8596738186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 332 + -468. Let u = -118 - k. What is the greatest common divisor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*b + 1 - 4, -2*o + 2*b = 2. Let k be (-1 - o) + (7 + -4)\/6. Factor 0 + 3*w**4 + 0*w**3 - 3*w**2 - k*w + 3\/2*w**5.\nAnswer: 3*w*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-17 - 0)) + -27.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 2*w**2 + 4 - 2*w - 6*w**2 + 0*w. Let s be n(-4). Suppose -4 = 7*p - 8*p. Solve 0*a - s = -p*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51070359.\nAnswer: 3, 61, 279073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2969632?\nAnswer: 2, 92801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*g - 9)*(-2 + 2 - 2).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaaayyayaya. Give prob of picking 1 a and 1 e.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-18)*(-63)\/(-441)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*n + 4*n**2 + 188*n**3 - 187*n**3 + n + (8*n + 9*n - 3*n)*(0*n + 0*n + 2*n**2) to the form k*n + x + i*n**2 + u*n**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40774 - 81550 - 1086*h**2 - h + 40772 + 3*h.\nAnswer: -1086*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6355 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371554722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)\/y)**(1\/5)*(y\/(y*y\/(y\/(y\/((y**(2\/3)*y)\/y)*y)*y)))**(-5\/13) assuming y is positive.\nAnswer: y**(5\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 598, 0, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + 12 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6187041, -12374080, -18561119, -24748158, -30935197?\n\"Answer: -6187039*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 28?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -5 (c) 28 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -0.958046533336.\nAnswer: -1.958046533336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 674767533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g - 2*g**5 - 6*g + (-g**2 - g**2 - 3*g**2)*(0*g**3 - 6*g**3 + 8*g**3).\nAnswer: -12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -693280, -1386565, -2079850, -2773135, -3466420?\n\"Answer: -693285*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + 105 - (-2 + 11) - (-3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)\/b**(-4))\/(b**(2\/9)\/b**(-9)) assuming b is positive.\nAnswer: b**(-179\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z*z*z**(1\/9)*z*z)**(4\/9) assuming z is positive.\nAnswer: z**(-68\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 700629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 527, 617, 743, 923, 1175?\n\"Answer: 3*p**3 + 69*p + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8544953 - 18?\nAnswer: -8544971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 55 = 4*s - 13, 0 = t - 5*s + 25. Let g be 1 + -2 + (-15)\/t. Suppose 6 + g = m. Solve d + 4*n = 0, -3*d + 2*n = m*n - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3 - 238134*b**2 - 1904988*b + 4762520 = 0.\nAnswer: -238126, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48172383 divided by 609777?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -653, -2605, -5865, -10445, -16357?\nAnswer: -23613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n + 34462*n**3 + 4*n**4 - 34460*n**3 + 7 - 3*n**4 as s*n**2 + l*n**3 + f*n**4 + z + t*n and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - y = -3, -2*y = -5*h + 3*h. Is (-39)\/h*(1 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1059805359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 19. Let s be b(-13). Suppose r = 2*v - s, -2*v + 3*r = 3*v - 13. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2286*m**3 + 1762*m**2 + 3762433*m + 1 wrt m.\nAnswer: 13716*m + 3524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 11*b + 12. Let g be v(8). Suppose d = 1, -2*q + 3*d + 36 = d. Let h = g + q. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176688 is divided by 67?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 10*r - 9. Does 9 divide q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(8)\/sqrt(4) + 3.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**3 - 6*a**2 - 32*a - 8. Let k(h) = -h**3 - h**2 - h - 1. Let j(q) = -6*k(q) + w(q). Find the second derivative of j(u) wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7128 - 326?\nAnswer: -7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 674800 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.44241031 to 1 dp.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*i - 11 = -q, 3*q + 15 = -3*i. Let p be 24*(q - (-20)\/16). Solve -3*o = 2*o + 3*x + p, 3*x = -2*o - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157\/5 + 63\/2. Suppose -n + 3*n = -2. Which is smaller: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12540 divided by -4\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 924337 is divided by 231013?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**5 + 725*b**4 + 7816*b**3 + 28445*b**2 + 38350*b + 17000 = 0. Calculate b.\nAnswer: -170, -5, -4, -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: (6 + -1 - 3 - -4 - 0) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -3007\/17. Let k = -0.03 - -2.03. Let i = -0.3 + 1.3. Sort p, i, k in decreasing order.\nAnswer: k, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -637.8694 * -4.\nAnswer: 2551.4776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*h + 6, -2*q + 4*q - 6 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50858550, -101717091, -152575630, -203434167?\nAnswer: -254292702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*l**4 + 57*l**3 + 8855*l**2 wrt l.\nAnswer: 2928*l + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (4 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 2. Let h be z(-2). Let f be h - (-2)\/4*-1. Suppose -r - 2 = 2. Sort f, r, -2.\nAnswer: r, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10233\/182 + 1633\/28. Let a = -11093595\/112 - -99051. What is the common denominator of a and r?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -11*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**5\/4 + 633*r**4\/4 - 391*r**3 - 504*r**2 + 1544*r - 516 = 0.\nAnswer: -129, -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 43 = 5*x, 3*x - 6*x + w = -28. Suppose 12*v - 843 = x*v. List the prime factors of v.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344006.5 kilograms to nanograms.\nAnswer: 344006500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z - 70. Let k be o(9). Calculate the least common multiple of (-2 + 0)*k*19\/(-38) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o + 56 = 13*o. Let i be 4\/o*7\/(-3). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 806 + -762 - (2 - -58).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from {x: 4, q: 8, v: 5, c: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26666379119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(3\/4))\/v)**(-31)*(v*v**(-4))**23)**(-4\/3) assuming v is positive.\nAnswer: v**(493\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n + 1. Let s be i(2). Let x = 9 - s. Sort x, -2, 3.\nAnswer: x, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-12)\/(-3))*(-2)\/33. What is the nearest to 3\/7 in 5, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.027 + 0.327. What is the second biggest value in a, 3\/7, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/10, -1, -15.\nAnswer: -15, -1, -1\/2, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-14) - 1)*(-21 + 32 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1657 - 14939\/9. Calculate the common denominator of 58\/3 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-10 + -35)*((-6)\/24 + 166\/(-8))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/2, 10372, -1 in descending order.\nAnswer: 10372, 4, 1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*q**3 - 49*q**3 + 30*q**3 + (5 - 2 - 2)*(-q**3 - 2 + 2) to the form x + o*q + c*q**3 + w*q**2 and give c.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -4*r**5 + 32*r**4 - 16*r**3 - 35. Factor k(y).\nAnswer: -4*y**2*(y - 6)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 73 = -m - 5*f, 2*m - 2 = 4*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2170\/620*62\/(-7)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15364777 divided by 1237?\nAnswer: -12421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by (-525)\/(-28) - (-2)\/8.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -2, -5, -10?\n\"Answer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by -2.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1196, -1330, -1672, -2318, -3364, -4906, -7040, -9862?\n\"Answer: -16*f**3 - 8*f**2 + 2*f - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 2, 5, 238073, 3 in decreasing order.\nAnswer: 238073, 5, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2107 is divided by 169.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 898 + -635. Suppose 2*u = 21 + x. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28*a + 496. Calculate i(-31).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 45, 1, 3, 4, -9 in decreasing order.\nAnswer: 45, 4, 3, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 113, 102, 83, 56, 21?\n\"Answer: -4*z**2 + z + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95572017?\nAnswer: 3, 467, 22739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 266, -59599, -1, 4, 1 in ascending order.\nAnswer: -59599, -1, 1, 4, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679 is divided by 1521.\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469161*c + 938723*c - 469631*c.\nAnswer: -69*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -6\/35, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13310112 (base 5) to base 11.\nAnswer: 924a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-63)\/(-105))\/((-28)\/10 + 3). Solve 0*j = -f*x - 3*j, -2*x = j + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15823 + 15912. Which is smaller: 87 or t?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15912283, 15912282, 15912281, 15912280?\nAnswer: 15912279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1730 + 6039. Calculate the greatest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8644, 1\/9, -3, -0.05?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8752716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12540 + -14?\nAnswer: -12554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6770138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12 + t**2 - 21 + 9. Let f(l) = 5*l**3 + 11*l**2. Let d(p) = f(p) - 6*s(p). Find the third derivative of d(h) wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3339215\/6 + 33876929\/60. Let h = -8078 + d. What is the common denominator of h and -25\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.4. Let c = -4 + o. Let l = 11 + -8. What is the smallest value in -1, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syos when four letters picked without replacement from {o: 5, w: 1, y: 2, n: 3, s: 7}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96373 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/26 - 3177\/(-117). What is the highest common factor of 189 and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/39 - (-288)\/858 - (-15816)\/132. Calculate the highest common divisor of o and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.332739 millimeters to meters.\nAnswer: 0.009332739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 1. Let o be j(-1). Let f be ((-35)\/o)\/((-3)\/(-9)). What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/798)\/(((-135)\/(-14))\/(-9)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by (-30)\/55 - (-15141)\/231.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -22132*w. Let u(m) = 2*m**2. Calculate r(u(l)).\nAnswer: -44264*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 938865127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14864 (b) 0.1 (c) 3\/8 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99587.6938 - 99578. Round v to 1 decimal place.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 661 + -706. Let q = -23 + -20. Let c = q - n. Solve -5*l - c = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/14)\/(732\/1708)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780 = 66*g - g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 118 - (-1200)\/(-19 + -21)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -25 in decreasing order.\nAnswer: -3, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*a - 3*a - 5512 = 127*a - 89*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 2*r**2 + 4*r + 6. Let i be l(-3). Suppose -2*f + 705 = i*f. Suppose -7*m + f = 5*b - 3*m, 2*m = b - 31. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) 0.4 (c) 344561 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 24. Let h = 2\/11053 - -44206\/33159. What is the closest to 0 in 17, h, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16517005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*u + 920\/7 - 2\/7*u**2.\nAnswer: -2*(u - 23)*(u + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3640 and 4260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 13*x = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -12*o - 376. Let g = 104 + o. Calculate the lowest common multiple of 2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 5*w**3 + 2*w + 5*w**3 + w**2 - w**2 + 2*w**3 + (2*w - 2*w + w**2)*(3*w + 0*w - w) - w**3 + 0 + 0 + 5*w**2 + 11*w**2 - 11*w**3 + 10*w**3.\nAnswer: 3*w**3 + 16*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a + -15?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -70.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 - 11*q + 14. Let s be u(6). Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/6 - 5*u**2\/2 + 5*u. Let m be x(15). Does 13 divide (-22)\/((-5)\/(m\/(-2)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -15. Let z be 0 + -1 + t\/9. Let i = -3\/5 + 19\/15. Which is the third smallest value? (a) z (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 182494, 366042, 549594, 733150, 916710, 1100274?\n\"Answer: 2*o**2 + 183542*o - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**7\/42 + j**6\/10 + 95*j**4\/12 + 64*j. Find the third derivative of s(w) wrt w.\nAnswer: -60*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272424 divided by -476?\nAnswer: -4774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141710 and 62.\nAnswer: 4393010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 565558 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x - 54. Let v be (-120)\/100*(-4)\/12*-15. Give p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2924547467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b - 78 - 608 = 674 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 19 = a + 4*v, -2*v + 46 = 4*a. What is the second derivative of -39*r + 0*r - a*r**3 - 3*r**3 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -337, -358, -377, -394?\n\"Answer: a**2 - 24*a - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18)\/(p*(p\/((p**(-3\/2)*p)\/p))\/p))\/(p**(-4\/17)\/(p\/(p*p**(2\/7)))) assuming p is positive.\nAnswer: p**(-4891\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104016.\nAnswer: 2, 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50174 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(-3\/4)*f)\/f*f\/(f**(-7)*f*f))**(-2\/123))**(-36) assuming f is positive.\nAnswer: f**(150\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 195 = -5*k. Let w(g) = -g**3 - 12*g**2 + 14*g + 16. What is the least common multiple of 16 and w(k)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*d = 332 + 304, 0 = -3*d - 3. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 542?\nAnswer: -541.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by -172?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o + 0*o = -178 - 350 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 3. Let u = 3 - 1. Let a = -3 - u. Let s be x(a). Solve j = 4*h - 4*j + 14, 4 = s*h + 3*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1241\/7 + -177. Which is the closest to -1? (a) q (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 640 = -2*s. Round s to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-218)\/(-109))\/(1\/3*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(44)\/(sqrt(44)\/sqrt(4))) - (sqrt(80) + -1 + (sqrt(245) - -1*sqrt(245))).\nAnswer: -17*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -41*x**7\/7 - x**6\/3 - 2*x**3\/3 + 7*x**2\/2 - 1. Find the third derivative of g(q) wrt q.\nAnswer: -4920*q**3 - 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310101111 + 10301?\nAnswer: 310112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 98490*p**2. Let c(b) = -10*b**2. What is c(k(r))?\nAnswer: -97002801000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*u - 2*u**3 - 9*u**3 - 194*u + 392*u + 16*u**3.\nAnswer: 5*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7532 - 5121. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104692014865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 6*n - 7*n = -3, -10*i + n - 41 = 2*n - 124 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:01 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t - 2*t - 19908. Find the common denominator of -3 - (t\/(-1404) + 10\/(-65)) and -73\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j - 551. Give o(41).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 10 - 38 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlwlwwhw. What is prob of sequence llw?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-14)*2 - (-7689)\/21. Let r = g + -361. Solve -5*w - 3*v + 4 = -7*v, r*w = -3*v + 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138151 and 897?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = -291. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 8) to base 11\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b. Let r be q(-4). Let x be r + 9\/((-6)\/2). Suppose 4*t - 21 = -5. Solve -t*h - 7 = x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 10474 = 22. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 4864?\nAnswer: 43776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2933, -5856, -8765, -11654, -14517, -17348, -20141?\nAnswer: -22890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 + 87. Suppose -4*l - 3*x - 19 = -86, v = 3*l + 4*x. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 572130, 572204, 572278, 572352?\n\"Answer: 74*i + 572056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0902 - -0.5902. What is the second smallest value in 0.1, 4, -5, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16573.9 - 16574. Which is bigger: 0.08901 or r?\nAnswer: 0.08901","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 559*o**3 - 3*o - 74*o**4 + 3*o - 561*o**3 + 350*o**2 wrt o.\nAnswer: -1776*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 2.526, -0.1, 0.02, 1\/3 in descending order.\nAnswer: 2.526, 1\/3, 1\/7, 0.02, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 139*f + 1683. Determine m(10).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 121263.1?\nAnswer: -121264.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4080 (base 11) to base 6.\nAnswer: 41020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 189511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558.15 grams in tonnes?\nAnswer: 0.00655815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -l. Suppose 0 = p + 2, l*i + 5*p - 14 = p. What is the highest common divisor of i and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155767244, 311534490, 467301736, 623068982, 778836228?\nAnswer: 934603474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103820 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 441397997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -3 + sqrt(252) + 4.\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10 and -83\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/9 + 3740*l**3\/9 - 71782*l**2\/9.\nAnswer: 2*l**2*(l - 19)*(l + 1889)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/2 + 44371602*h + 328139844007734.\nAnswer: 3*(h + 14790534)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.393398 minus -271?\nAnswer: 272.393398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3648950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = q + 24, -5*q + 44 = 3*r + 38 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 179928179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5389*c. Let d(j) = -j**2 + 22*j. Calculate r(d(t)).\nAnswer: 5389*t**2 - 118558*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 151. Factor m*d**3 + 319 + 649 - 2*d**4 + 794*d**2 - 1848*d - 3*d**4 + 7*d**4.\nAnswer: 2*(d - 1)**2*(d + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 3)*(-3 + 4 - 4)*(-35 + 35 + 16*w**3)*(-3*w + 4*w - 3*w) to a + u*w**4 + r*w**3 + l*w**2 + z*w and give u.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.15, -2\/5, -1\/3, 24 in ascending order.\nAnswer: -2\/5, -1\/3, -0.15, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 57*z - 3. Let d be j(-1). Let n = -60 - d. Solve n = 5*r - 1 + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 33*b**2 + 55*b + 597. Give o(35).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (33 + 54 - 39).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -66.875, 1\/2, -1\/2, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1823 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/20 and 89\/6578.\nAnswer: 65780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2294269 - -16117\nAnswer: -2278152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*w**3 - 108129*w**2 - 3992708*w.\nAnswer: -114*w - 216258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 3*w - 6*w to the form z*w + o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 2 + 42\/27. Let x = m + -8\/9. Let 1\/3*s**3 + 0 + 1\/3*s + x*s**2 = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let t(p) be the third derivative of -p**5\/12 - 41*p**2. Determine b(t(l)).\nAnswer: -50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffgsgggggsgg. Give prob of sequence gg.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x - 3*o + 47 = 0, 3 = x - o. What is the remainder when (0 + 1)*23*1 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 2347001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 h, and 1 q when four letters picked without replacement from {w: 4, h: 9, q: 2, a: 4}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 4:48 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 941831 != 7534653\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 5)*(30 + -8 + -23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -6*l + 176. Differentiate 29*g**4 + 22*g**4 - 49*g**4 - 22*g - 44*g + l wrt g.\nAnswer: 8*g**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 4*m - 4*m)*(0*m + 4*m + 0*m + (2 - 2*m - 2)*(-1 - 1 + 3) + 4*m - 2*m - 3*m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.826686 litres?\nAnswer: 8826.686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.44 - -1.14. What is the third smallest value in 0.3, -2\/27, b, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 406952*g + 10350620644.\nAnswer: 4*(g + 50869)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - e?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**7*x))\/(((x\/x**(-3\/10))\/x)\/x*x))\/(x**(-12\/13)\/x**17) assuming x is positive.\nAnswer: x**(1251\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.062 in 1, 4\/11, 5?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 4:43 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.563 - 386.537. What is k rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -143 - -12. Let s = -55 - v. Let h = s + -75.9963. Round h to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2711881 and 5?\nAnswer: 13559405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*f - 2, 4 = -4*n + 4*f - 0. Solve -a - 3*y - 7 = n, 11 + 11 = 5*a - 4*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l. Let x(w) = 25*w**2 - 276*w + 15. Let g be x(11). Solve 2*r - 4 - g = l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 261877539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/65055 and 43\/6.\nAnswer: 130110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 13. Let y be c(-16). Let r be ((-72)\/(-20))\/y*-440. Suppose 4*t - 8*t = -r. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075743.9 plus -0.428?\nAnswer: 4075743.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0 (c) 8\/17 (d) -0.04 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -559? (a) -4 (b) 3 (c) 0.3 (d) -1\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.22, 12346 in descending order.\nAnswer: 12346, 0.22, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/25*25\/(-10). What is the closest to f in -3, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127069 is divided by 103?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(208\/221) + 1*6?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 17596400\nAnswer: -17596378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/5 (c) -80 (d) 14 (e) 5\/6 (f) 5 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 12:07 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (174\/(-638))\/((-10)\/((-220)\/(-33)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*l = 91*l + 2330. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z. Let q(u) = 10 + 3*u - 10. What is -5*a(y) + 14*q(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*b - 624 + 3254 = -1855 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 544*v + 7153. Give o(-14).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51797 divided by 3?\nAnswer: 51797\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8411 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-9 - (0 + -25) - 5 - (-8 + -1))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1\/11, 0 in increasing order.\nAnswer: -22, 0, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52758 not equal to 52756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -737 - -804.6. Let x = 1.6 - l. Let j = 65.9985 + x. Round j to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m + 3\/8*m**4 + 14 - 1\/10*m**5 - 1\/3*m**3 + 0*m**2. Factor i(f).\nAnswer: -f**2*(f - 2)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((-288 - -190) + (-1 - -27))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*z - 20 = -92*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 12:45 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1004 + -484. Solve -512*h = -k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(273342\/24849 - 11).\nAnswer: 3, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4203 in -3, -0.3, 2\/13, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, d: 7}. What is prob of picking 1 d and 1 k?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/25)\/(42\/210)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 q when four letters picked without replacement from oqllq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212213200 (base 4) to base 14.\nAnswer: -235ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 7) to base 6.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**2 - 4*f - 2. Let h(v) = -v - 3. Let s(r) = -3*c(r) + 4*h(r). Calculate the remainder when 40 is divided by s(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/11))\/x*x)\/x**(5\/3)*(x**0)**(-41)*(x*x**(-1))**(-19)*(x\/x**(1\/3))**(1\/21) assuming x is positive.\nAnswer: x**(-314\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -0.12 (c) -0.02 (d) 4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 8*f**2 - 10*f + 12. Let i be m(9). Suppose 4*o - i*o - 94 = 0. Suppose -j - 168 = -5*x, o = 3*x - 3*j - j. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + x - 1. Let g(t) = 2*t**3 + 2*t**2 - t - 1. Let u(b) = g(b) + r(b). Let w(s) = -3*s**3 - 4*s**2 + s + 3. What is -4*u(o) - 3*w(o)?\nAnswer: o**3 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**5\/12 - 5*i**4\/12 - 5*i**3\/18 + 5*i**2\/2 - 2*i - 19. Let h(n) be the first derivative of m(n). What is u in h(u) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 13 + 19 = j, -2*j + 4*v = -54. Let z(t) = 16*t + 10*t - 25*t + 8. What is the remainder when j is divided by z(11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23963 - 9742. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008022 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01539669126 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4023 (base 13) to base 7\nAnswer: 34464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -494.773934 - -494.83. Round m to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(20 - 3*g**3 - 3*g**3 + 5*g**3).\nAnswer: g**3 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6107516 (base 8) in base 7?\nAnswer: -16452365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -46, -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*r + 11*r + 225*r**3 - 4*r**4 - 41*r**3 + 3*r**4 wrt r.\nAnswer: -12*r**2 + 1104*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) 9 (c) 130 (d) -0.5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 7:06 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.4654+0.1\nAnswer: 2.5654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-2)) - 91\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/141059 and -35\/1863?\nAnswer: 11425779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 16, -20, -3\/4, -0.18, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 254.655753 to 1 decimal place.\nAnswer: 254.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 4*g + 2. Let a(q) = 168*q**2 - 4*q - 2. Let d(c) = a(c) + u(c). Let b(y) = -4*y**2. Determine d(b(j)).\nAnswer: 2672*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - n + 16563 = 16572, 2*r = -8*n + 38 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by 51019.\nAnswer: 388\/51019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*w**2 + 25893*w - 9420.\nAnswer: 3*(w + 785)*(11*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvgdvvgvvdx?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:58 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13282, -26552, -39822, -53092, -66362, -79632?\nAnswer: -92902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10493 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - 1\/3. What is the nearest to 0 in o, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12705 and 9680?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 164\/5? (a) -2\/3 (b) 1 (c) 4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30a (base 13) to base 8.\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/12*-3 + -3. Let n be (p - (-8)\/12)*-3. Suppose -3 + 4 = u. Put -5, u, n in decreasing order.\nAnswer: n, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 + 93 = 10*b - 121. Let f = 42 - 21. Calculate the remainder when b is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88628 (base 11) in base 10?\nAnswer: -128532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000984 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m**5 - m**5 + 2*m**5)*(40 + 44 - 51).\nAnswer: -165*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1509182, -3018357, -4527526, -6036689?\nAnswer: -7545846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0. Let n(o) = 2*o**2 - 17*o - 8. Let t be n(9). Which is the nearest to 0? (a) 0.4 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -37*-0.1\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -481\/105 - -137\/35. What is the second biggest value in l, 0.2, -0.0014?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 101. Suppose i = y - 2*l - 15, -3*y + 43 = 7*l - 11*l. Let r = -29 + 42. Are y and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 50793.27mm?\nAnswer: 5079.327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -6\/43 (c) 2\/11 (d) -1188 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**5 + w**2 - w**2)*(106 + 230 + 65).\nAnswer: 401*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -44196*s - 88340. Give h(-2).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 4, x: 1, t: 10}. Give prob of sequence fxq.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let q = -158 + 164. Suppose q = z*a - 6. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1717307.\nAnswer: 31, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 7*z - 212. Calculate the remainder when 172 is divided by k(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = j - 24, 4*j - 22 - 14 = -4*p. What is the greatest common factor of j and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**3 + 4 + 15*v - 30*v - 3*v**3 + 14*v + 6 - v**2 as i*v**2 + p*v + l*v**3 + s and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyayaayayayy. Give prob of sequence aaay.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 8597*b**2 + b**3 + 8597*b**2)*(-14125*b + 14207*b + 3 - 4).\nAnswer: 82*b**4 - b**3 - 3362*b + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x**3 + 6*x**2 - 5*x - 12. Let j(q) = q**2 - q - 2. Determine -6*j(k) + u(k).\nAnswer: -9*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/42 + (-10)\/15. Suppose -3*f + 0*r = 2*r - 66, 0 = -f - 4*r + 32. Let i = f + -19. Which is the nearest to w? (a) -1\/3 (b) i (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z + 3 = -16*z - 171 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*v + 10*v - 40 = 0, 4*w + v = 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 164071*k**2 - 1188*k + 1.\nAnswer: 328142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 4498888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 1475178278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 20*g**5 - 83365*g**4 + 104140*g**3 + 145855*g**2 - 41670*g = 0.\nAnswer: -1, 0, 1\/4, 2, 4167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = 5*c + 43, -21 = 3*c - 3*j. Let x be (-32)\/(-12) - (-6)\/c. Solve -s + 9 = x*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, p: 1, a: 2, u: 1, i: 1, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:21 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-120)*(2 - -6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 42, 56, 70, 84?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2316099 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**6*w**2 - j**5*w**2 - 2*j**2*w + 210*w**2 wrt j?\nAnswer: 480*j**3*w**2 - 60*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -55. Let r(i) = -i**2 + 6*i - 6. Let s be r(8). Let q = o + s. What is the highest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - 275*v - 312. Calculate g(70).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-489)\/40)\/(-3) + (-5 - -1). Let z(c) be the third derivative of 2*c**2 + 0 + 0*c + 1\/100*c**5 + 1\/5*c**3 - d*c**4. Factor z(j).\nAnswer: 3*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 139 = -4*m, 7*x + 3*m - 58 = -263 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1078.6, 6, 2\/13 in decreasing order.\nAnswer: 1078.6, 6, 1\/2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - 2*r**2 + r - 1. Let k be w(-2). Find the third derivative of -2*p**2 - p**3 - 5*p**2 + k*p**2 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*s - 5, 5*s + 4*j - 6 = -15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**4 + g**3 + 1075*g**2 - 83*g + 5257339 with respect to g.\nAnswer: 4*g**3 + 3*g**2 + 2150*g - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -1\/12*d**5 - 2*d**3 + 0*d + 0 + 0*d**4 + 9*d**2. What is the first derivative of c(a) wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 4*k**3 + 7*k - 10*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = 29*s + 11*s + 290 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + 5*s - 2. Let c(z) = z + 1. Let r be c(2). Let n be -6*6\/(-33) + (-1081)\/517. Let i(o) = o**2 + o. Calculate n*j(p) + r*i(p).\nAnswer: -p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 34*t - 111. What is i(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**2 + 104*p\/3 - 8\/3.\nAnswer: 2*(p + 2)*(27*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(13 + -15)*2\/4. Which is the closest to f? (a) 0 (b) -0.2 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -6*w + 2*w + 79, -5*w = -4*p + 211. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6 + 26 = 0, 0 = -5*g - 5*d. Suppose 32 = 4*h - g*a, -5*h + 2*a = a - 24. Suppose h*i = i. Solve i = z + o + 5, 2*o + 4 = z - 0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 5389666?\nAnswer: 1\/5389666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 185*c - 17. Is f(1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2096*g**2 + 12*g - 6. Let b be z(-6). Suppose 0 = -160*c + 166*c - b. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 20. Suppose -k*h = 4*q - 145, -2*q - 120 = -5*h - q. Calculate the highest common factor of h and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12544 - 12534. Solve -t + 3*t = c, -2*t + 7 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*m - 36 = 0, -68*n = -179*n + 115*n - 12*m - 32 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 4:53 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 13 - (7 + -47) - 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1402\/(-10))\/((-7)\/35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -4 + (-40)\/(-10). Let f = q + 15. Solve g - 8 = -5*t + f, 27 = -4*g + 3*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1054006050 and 600.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-1)\/(-5) - (2 + -1). Which is smaller: 4\/407 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -600 + 618. Factor 98*s - 4*s**2 + 16*s - 32 + 14*s - n*s**2 + 52*s.\nAnswer: -2*(s - 8)*(11*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 3, h: 4}. What is prob of sequence qrr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 56. Suppose -r = 5*y + 33, m = -2*r - 5*y - 82 + 11. Sort r, -3, 1 in descending order.\nAnswer: 1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 653, 845, 1349, 2315, 3893, 6233?\nAnswer: 9485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**4\/12 - 2*x**3\/3 + 2*x**2. Let n be g(4). Suppose -m - m = -n, 4*q + m - 50 = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -2*u**2 + 0*u + 1\/2*u**3 + 0*u**4 - 1\/15*u**5 + 0. Differentiate o(y) with respect to y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -1 + 25. Let s(n) = -20*n**2 + 14. Let b(c) = 19*c**2 - 14. Let z(o) = t*b(o) + 5*s(o). Differentiate z(l) with respect to l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14632 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -698 divided by 4?\nAnswer: -349\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372735?\nAnswer: 3, 5, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 2. Let q be a(-3). Calculate the greatest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -317 - 27?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3. Let v be i(0). Let a = 249 - 245. Solve k + k + a = v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-6)*(3 - 9\/6). Suppose 0 = -5*z - r*u - 34, 4*z - 5*z + 3*u - 3 = 0. Let s(k) = k**3 + 5*k**2 - 6*k. Determine s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j - 32 - 34 = -52*j + 3*f, 4*j = -2*f - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/(y*y**(18\/5)*y) assuming y is positive.\nAnswer: y**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, -0.14, 0.4, -3, 6\/11, 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*v**2 - 210*v.\nAnswer: 5*v*(11*v - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o + 363. Let p be l(-21). Calculate the highest common divisor of 54 and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 18 + 27 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in 10\/63, -4\/3, -174?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35054933 divided by 4.\nAnswer: -35054933\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.23 + -8.1. Let f = x + -0.04. What is the nearest to 0.2 in f, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42051 - 14?\nAnswer: 42036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -259.77 and 0.0193.\nAnswer: -259.7507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + z**2 + 4*z - 7. Let o(l) = -7*l + 47*l**3 - 17 - 51*l**3 + 23 + 7 - 2*l**2. Determine 4*o(w) + 7*q(w).\nAnswer: -2*w**3 - w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 4*i - 15. Let v be c(-6). Let l = -20 - v. Let a be 2\/(-8) + (-18)\/(-8). Solve -20 = -l*r + a*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5881*h + 11516*h + 26180 = 5855*h for h.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b9 - -a?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-9 + 10) + (-48)\/23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441453 (base 7) to base 2.\nAnswer: -10010111001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + h + 5, 2*h - 2 = -4*v - 0*h. Suppose -1 = -4*k + 23. Solve 2 = -v*t - k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-230)\/(-50) - 2\/(-5). Let d(w) be the third derivative of -w**5\/6 + w**4\/24 + 5*w**3\/3 - 7*w**2. Let r(s) = -7*s**2 + s + 7. What is h*d(z) - 7*r(z)?\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.035853 rounded to one dp?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/5 + 144*r**4\/5 + r**3 - 144*r**2 - 4*r\/5 + 576\/5 = 0. Calculate r.\nAnswer: -2, -1, 1, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -0.067, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9958 - 0.0142. Let f = s + 2. Let y = f - -0.00999998. Round y to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*k = -10614573 + 10606127 for k.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 - r - 4. Let c be p(-4). Suppose c*j = j + 2. Let t(m) = 8*m**2 + m - 2. Calculate the remainder when t(j) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18825.79885 + -18762.8. Let z = c - 63. What is z rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 2, b: 2, x: 1, u: 3}. Give prob of picking 2 v and 1 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -741, -2818, -6895, -13644, -23737?\nAnswer: -37846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 714*m**4 - 3574*m**3 + 20*m**2.\nAnswer: 2*m**2*(m - 5)*(357*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 10:58 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1420141*b**4 + 7*b**3 + 3276*b**2 + 312*b - 1.\nAnswer: -34083384*b + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 146993 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: Suppose 13*x = -0*x + 104. Solve -x*i - 20 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + -7416100?\nAnswer: -7416099.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:45 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1749*w - 489*w - 246*w to n*w + l and give n.\nAnswer: -2484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2936778 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j - j - 483 = -26*j - 22*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*t - 3, 7*a - 2*a - 3*t = -29. Put -1, a, -3 in ascending order.\nAnswer: a, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccwcecccc. Give prob of picking 1 c and 1 e.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -174 + 201 + 164\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**2 + 7*b - 2. Let r(l) = 4*l**2 + 6*l - 1. Suppose 0 = 5*q - 4 - 11. Let g(k) = q*w(k) - 4*r(k). Factor g(o).\nAnswer: -(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-984)\/168)\/((-104)\/2184). Factor 18*k**2 + 0 - 147\/4*k**5 + 399\/2*k**4 + h*k**3 + 0*k.\nAnswer: -3*k**2*(k - 6)*(7*k + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**3 - 10*s + 4 + 55*s**3 + 162*s**3 - 2.\nAnswer: 251*s**3 - 10*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -6\/7, 5, 3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 10*a + 7. Let v be (-406)\/42 + (-2)\/6. Let w be o(v). Suppose 5*l - w = 13. Solve 4*m - 5*y = -0*m + 12, -l*y + 9 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-1)*24\/(-32). Let v(x) = x**3 + 5*x**2 + 3*x + 3. List the prime factors of v(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*o + 83400000, 0 = 15*o - 10*o + 3*n - 208500000. What is o rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*o**2 - 72*o**2 - 68*o**2 + 191*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 4485 = -1562 - 289. What is the remainder when j is divided by 135?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**2 - 6504*s + 115776 = 0.\nAnswer: 18, 1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1170505124?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**4\/4 - u**3\/6 + 11*u**2. Let p(n) = -5*n + 1. Give -3*f(o) - 4*p(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*m + 4\/7 - 6\/7*m**2.\nAnswer: -2*(m + 1)*(3*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 2*c - 1. Let o be k(2). Let z be ((-232)\/174)\/((-10)\/12). Are z and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522069845 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2. Let i(d) = 23*d**2 + 48*d + 5. What is i(x(r))?\nAnswer: 575*r**4 + 240*r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 513, 185, -147, -483?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/105*95*(-21)\/63.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 11*v = -240000. What is v rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w - 2. Let t be 4\/(-18) + (-390)\/(-54). Suppose -t = 5*o - 17. What is b(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {r: 5, a: 1, p: 4, v: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.00411 and 5?\nAnswer: -0.02055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 5 + 49*600000. What is x rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(44) + (sqrt(33)*-2)\/sqrt(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 213.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005908238733 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 8*y**2 - 1. Let z be x(-8). Is 17 a factor of (170\/25)\/(z\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 164. Let j = z + 75. Suppose 0 = 5*t + j*i - 28, 4*t + 0*t - i - 12 = 0. Solve -n = -0*n + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13439 and 1057.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2553 < -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 94 - 14 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + 1. Let x(n) = 5*n + 1. Let f(s) = -2*k(s) + 3*x(s). Let p be ((-21)\/14)\/((-2)\/(-4)). Give f(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from {s: 9, v: 10}?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10184 by -134.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 33*t = 0. Let d(g) = -2*g + 823. What is the units digit of d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21107699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -1, -31, -91, -193?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11)\/y)\/((y*y**(-2\/11)\/y)\/y)*y\/(y\/(y*y**(-1\/39)))*y\/(y\/y**(-3\/14)) assuming y is positive.\nAnswer: y**(-60409\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 5\/7, -35834?\nAnswer: -35834","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u - u)*(19*u - 5*u + 5*u).\nAnswer: -38*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r + 136*r - 32*r as x*r + b and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = s - 128, 4*s = 3*m - 0*m + 492. List the prime factors of (-7 - 0)*s\/(-35).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -64*g + 130. Let b be u(2). Let l(y) = -9*y**2 + y - 1. Determine l(b).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2762742*v. Let l(d) = d. Determine q(l(i)).\nAnswer: -2762742*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 534*u**2 + 53*u + 181. What is the tens digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -5. Let x be (-38)\/t + (-15)\/20. Let b(k) = k**2 + 2. Let y(z) = -2*z**2 - 1. Let g(h) = x*y(h) + 6*b(h). Let g(o) = 0. What is o?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -4, -26 in descending order.\nAnswer: 8, 1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82299333*f**2 + 1192*f + 132870 wrt f.\nAnswer: 164598666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*x - 12 = 0, -t - 1 + 23 = -5*x. Suppose -l = -t*l + 2. Put -2, -28, 1, l in decreasing order.\nAnswer: l, 1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (2 + -16)\/(-7) + 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27849, 55690, 83533, 111378, 139225, 167074, 194925?\nAnswer: 222778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29235 = 5*b + 5*c, 0 = 4*b + 4*c - 3*c - 23388. List the prime factors of b.\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*r - 75*r + 12. Let o be 4 + r + 3 + -2 + -17. Let h(u) = u**3 + 16*u**2 + 5*u - 1. Does 18 divide h(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 20*k**2 + 143*k - 3892. Let s(o) = -10*o. Let l = 2 - 3. Calculate the remainder when w(-18) is divided by s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 10 + 7, -3*t - 4*v = 54. Let z be (-14 - 1)*(t\/5)\/7. Solve 5*w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18346 - 10563. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 767 (b) 8 (c) -4075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 28, 64, 122, 208?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 8*f - 5. Let s(u) = -8*u - 1. Let h be s(1). Let a be g(h). Let i be -2 - (-3 + -2 + 1). Sort a, 0, i.\nAnswer: 0, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*j = -436963 + 440773 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 53.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g**3 - g**2 + 3*g - 3. Let y(f) be the third derivative of -f**6\/15 + f**5\/20 - 5*f**4\/24 + 5*f**3\/6 + 74*f**2. Determine -5*d(n) - 3*y(n).\nAnswer: 4*n**3 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8063167 to three dps.\nAnswer: -0.806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 3*m + 16, u - 2*m = 3*u - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5764 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1)*1)\/((-29990)\/17994).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + -2.6. Let c = -0.3 + 0.1. Let g = -14.94 - -14.54. What is the closest to -2\/7 in c, g, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 64. Let i = a - 22. What is the nearest to 1 in -0.2, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 - -465. What are the prime factors of i?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*q - 803*q**2 - 78*q.\nAnswer: -803*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -4. Suppose -z + i = -5*v, 71 = 5*z - 3*v + 25. Suppose 0 = o + 3, 3*o = 3*p + z*o + 6. Solve c - 4*y = -0 + 4, p*c + 8 = 2*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 665 - 6. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3, 5*l + g + g - 1102 = 0. Is l a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-2) - (-9)\/(-6). Suppose i + 3*z + z = -13, -q*z - 20 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8346693988.537 + 0.4.\nAnswer: -8346693988.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -111*l**3 + 583*l**2\/2 - 2*l - 508. What is the derivative of b(r) wrt r?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -5, -3 in decreasing order.\nAnswer: -2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l**2. Let j(i) = i - 5 + 2 + 6 + 0*i. Let q(v) = -2*v - 4. Let s(z) = 4*j(z) + 3*q(z). What is t(s(g))?\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/(((-75)\/(-20))\/5)*-36?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 29, -5, -53, -115, -191?\n\"Answer: -7*w**2 + w + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 42100?\nAnswer: 42100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -34. Calculate the smallest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 2*d + 0*d)*(8 + 3 - 2) + (-1 + 2 + 1)*(-4*d + d + 4*d) as q + a*d and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b38 + -86?\nAnswer: a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 10. Suppose 10 = -0*x + l*x. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 879.67905 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-22) + (-2220)\/(-110)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 414*h - 2. Let r be a(1). Let q be -4 - -3*r\/4. Let o = q + -106. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 297.6552 millimeters?\nAnswer: 29.76552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 6*l + 1. Let f be y(-5). Suppose -127 = -f*i + 269. Let u(b) = 4*b - 3. Calculate the remainder when i is divided by u(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - s - 3 = 1, -5*z = -5*s. Suppose z*q + 3 = q. Is 20 a factor of (-924)\/60*(q + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcjcj. What is prob of picking 3 j and 1 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (751*c**2 - 741*c**2 + 2*c - 2*c)*(-2*c + 3 - 3) to m + x*c**2 + a*c + b*c**3 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2) + (-912)\/232. Is -1\/3 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -875*f + 869*f + 384. What is the greatest common factor of f and 1000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55963984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a1 (base 13) to base 8\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 3 + 5)*(w - w - 2*w) + w - 4*w + 4*w + 0*w - w + 3*w + 14*w - 27*w + 2*w)*(1 - 1 + 2*w) in the form p*w + c + v*w**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3 - 15 = 2*k, 6 = -2*c - 4*k. Suppose -2*s = 4*v + c*s - 15, -5*s = -4*v + 65. Solve h = 6*h - v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7593, 7591, 7589, 7587?\n\"Answer: -2*j + 7595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (10 + -18)) + -10 + -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7940.15 litres to millilitres.\nAnswer: 7940150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -11358*g + 11359*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7268000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 5) + (-1 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j - 2*j)*(27 + 6 + 1) + 15 + 4 + 1 - 2*j.\nAnswer: 32*j + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/82 + 7002128\/(-50758). Let g be -3 + 2\/2 - 137. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 17562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = 113*t - 201*t + 114*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/49 and 1\/14.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.02164 * 0.2\nAnswer: 0.004328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:03 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:03 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 + 300132*p**4 + 11260502418*p**3 + 45037207688*p**2 = 0. Calculate p.\nAnswer: -75031, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {s: 13, h: 3}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -7279\/16905 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -27, 0.\nAnswer: -27, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o - 128 = 0. Suppose -10*k = -1552 - 6038. Let r be k\/(-3)*o - -4. Round r to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1677747 divided by 17\nAnswer: -98691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5753*n - 60 - 43 + 144 - 40 to y*n + w and give y.\nAnswer: 5753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 7*a**2 + 39*a + 272. Determine x(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:43 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3 - 27*q**2\/2 + 46. Factor h(j).\nAnswer: 3*j*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 + 5*t - 1. Let w(a) = a. Let r(s) = g(s) - 2*w(s). Let c be r(-4). Solve -4*z - 16 = -6*n + n, -5*n + 23 = c*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 - 2*d - 3. Let s(f) = -5*f**2 + 3*f + 4. Let u(i) = 3*s(i) + 4*w(i). What is u(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2974 - 2973.5. Let g = -8.2 + 8. What is the nearest to 9 in -0.1, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 737 and 67.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1. Let w(u) = -5*u + 4. Let p = 873 - 874. What is p*w(a) + 4*z(a)?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:38 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -z - 9. Let j be (-3)\/(-5) + 3\/z. Let l = -1.2 - -1. Is j greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-72))\/(1\/2)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i. Suppose 11*n = 6*n + 10. Let a be s(n). Let r = -15 + a. Solve 4*b - r = -13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-110))\/((-3)\/(-5)*215\/1677)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1017, -11, -9, -13 in ascending order.\nAnswer: -13, -11, -9, -2, 3, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264501 is divided by 66083.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -619382.987 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 5. Let k = -31 - -46. Let l = -3 + k. Let b be 8\/l + 26\/6. Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8662 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12) + (-387)\/54. Do -6 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 460, 1184 in decreasing order.\nAnswer: 1184, 460, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 + 16*g + 224.\nAnswer: 2*(g + 28)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1046393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -7)\/((-2)\/4). Let z(q) be the third derivative of -q**4\/8 + 5*q**3\/6 - 26*q**2. Is 8 a factor of z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22117369 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 2598600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**5 - 129*g**4 + 237*g**3 + 381*g**2 - 480*g - 492 = 0.\nAnswer: -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 10980*u + 417233. Give k(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0504*-2.6.\nAnswer: 0.13104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -435.4+-8581\nAnswer: -9016.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1455 and 45?\nAnswer: 4365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -5)\/(0 + -1). Let i(b) = -9*b + 3. Is i(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*v + 4*v - 4*v**2 + 3.\nAnswer: -4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.2. Let y = 0.3 + r. Sort -2\/9, 0.5, y in decreasing order.\nAnswer: 0.5, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**3\/3 - w**2\/2 - 8*w. Let j = 1 - 2. Let b = 3 + j. What is f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 474276 and 4268482\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43014 (base 7) in base 15?\nAnswer: -3249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 5*j = 107, -138 = -4*v + 2*j. Suppose 0 = -3*a + w + v, 0 = -5*a - 2*w + 7*w + 50. What is the highest common divisor of a and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -19 + 26 - 30 + 5*c + 8*c. Let o be t(2). Determine k so that -2*k**2 + 0 + 3*k**o + 1\/3*k - 4\/3*k**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*i**2*p - 51*i**2 - 3*p - 4 wrt p?\nAnswer: -20*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1535, -2617, -4421, -6947, -10195, -14165, -18857?\n\"Answer: -361*l**2 + l - 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 348859 or 348858?\nAnswer: 348859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 + 0.03. Let j = c + 0. Let b = 0.1999909 - j. Round b to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 6532*y + 174 = 6533*y, -q - 11*y + 14 = 0 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 + 577 = -3*g. Suppose 0 = -2*b - g*z + 25599990, 2*z - 12624077 = -5*b + 51375919. Round b to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7649613 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94897\/17082 - -1\/5694. Calculate the common denominator of -41\/15 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 1\/12?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 23, 0, -1 in ascending order.\nAnswer: -1, -0.5, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121168 and 348358?\nAnswer: 2786864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m + 89. Let c(y) = -21*y + 89. Determine 3*c(x) - 4*n(x).\nAnswer: x - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j = 2*t, -t - j = 0. Suppose 0*q = -3*q + 15, 3*k + 2*q - 13 = t. Which is the second biggest value? (a) k (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, d: 2}. What is prob of sequence dd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 7:59 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 127240, 127145, 127062, 126997, 126956, 126945, 126970, 127037?\n\"Answer: m**3 - 102*m + 127341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 48 + 3*v + v + v - 53. Let m be -17 + (27 - 1) + -14. Let j(y) = 10*y - 9. Determine m*c(n) + 3*j(n).\nAnswer: 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4545 - 0?\nAnswer: -4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 0*r - r**3 - 6 + 1\/2*r**2. Let s(f) = f**2 - 18*f - 38. Let j be s(20). Give h(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2400\/(-2000)*(5\/(-8))\/(-1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 2*y. Put y, 5, -2, -5 in ascending order.\nAnswer: -5, -2, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 10. Let x be g(13). Let v = -11 + 8. Let f = v - -2. Sort 1, x, f in increasing order.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*o**3 - 1224*o**2 - 3280*o - 1248.\nAnswer: 4*(o - 26)*(o + 2)*(13*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11887*m**2 + 3786*m**2 + 6114*m**2 + 4153*m**2.\nAnswer: 2166*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33.478183 - -1.35.\nAnswer: -32.128183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 0*j - j + 2 + (-1 + 1 + 3*j)*(2 - 5 + 2).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s + 471. Give r(-37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - 6*sqrt(35)*3) + sqrt(35) + sqrt(35) + 4*sqrt(140))\/((sqrt(100)\/sqrt(4))\/sqrt(5)*-5*3).\nAnswer: 7*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2313 divided by -771.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k + 3. Let r(t) = -9 + 3 - k*t - t. Let x(g) = -9*g - 13. What is 13*r(f) - 6*x(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 892716270 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-6))\/(22\/(-3740)) is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2549 or 2550?\nAnswer: 2550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -1256?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8699, 398, 2.\nAnswer: 2, 398, 8699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.7 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 2}. What is prob of picking 1 h and 1 c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2760 - 2781. Let p(r) = -4*r - 71. Determine p(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -311698 or -311697?\nAnswer: -311698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -74, -2739, -1 in descending order.\nAnswer: -1, -2, -5, -74, -2739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 290257912 to the power of 1\/2, to the nearest integer?\nAnswer: 17037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 2701, 1 in descending order.\nAnswer: 2701, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81491519?\nAnswer: 81491519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by (-8 - -14) + 39 + -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2216819892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18995695 or -18995696?\nAnswer: -18995695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -175330*y**3 + y**2 - 7*y - 7. Is l(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 131*q. Let c(n) = -n**2. Determine c(z(p)).\nAnswer: -17161*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12750, -25085, -37410, -49725, -62030, -74325, -86610?\nAnswer: -98885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - (-5 - 1))*12 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*w**2 - 698738217 + 698738217 + 54*w**2.\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6 = -5*h - 3, -i - h + 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) 5 (c) 5\/2 (d) -15\/11 (e) 0.4034\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -435, -655, -893, -1143, -1399, -1655, -1905?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1591*o - 638*o + 2195*o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 1\/336*q**8 + 7\/120*q**6 + 0 - 1\/60*q**5 - 1\/3*q**4 - 6*q**2 + 0*q - 2\/3*q**3 + 1\/42*q**7. Find h such that j(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + g + 5 = 0, 2*o - o = -5*g + 23 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-10)*2\/18\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/15895 - -4259878\/143055. Which is smaller: u or 30?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/2, -1\/3, 4, -0.009, -2 in descending order.\nAnswer: 4, 0.2, -0.009, -1\/3, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 56 = -2*n + 13*y, 4*y + 83 = 3*n. Let f(u) = -4*u**3 + 2*u**2 - 1. What is the remainder when n is divided by f(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24974331 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/6 of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q - 50. Let v be (266\/(-63) - (-2)\/9)*2. Let g be f(v). What is the highest common factor of 30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 226, 231, 226, 205, 162, 91?\n\"Answer: -d**3 + d**2 + 9*d + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 320\/(-308) + -2*8\/(-88)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n - 3*h + 12, 0 = n + 5*h - 13. Suppose -n*j = -7 - 11. Differentiate -j*f**2 - 3 - f**3 + 6*f**2 wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Suppose x + 4 = -p + f*p, 2 = 2*p - 2*x. What is the first derivative of p*b - 4 + 0*b - 3*b + 4*b**2 wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1208547.\nAnswer: -4\/1208547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129 - (-11 + -86 + 152)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20667 + 0?\nAnswer: -20667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72*(78\/16 - 8\/(-64)). Suppose -s = y - 1759. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14\/57 - 8\/19. Let l be (5\/(-5) - 2) + (-1 - -38). Let c be (-12)\/8*(-3 - l\/(-6)). Put c, -0.4, o in descending order.\nAnswer: -0.4, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -915935 divided by 37\nAnswer: -24755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -104, -343, -802, -1553, -2668?\nAnswer: -4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -6 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -187 - -437. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(15\/50)\/(27\/(-36))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1370*z**3 - 2445*z**3 + z**2 - 3 + 1163*z**3 + 1.\nAnswer: 88*z**3 + z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*sqrt(325)*-3 + 4 + sqrt(325) + 2 + sqrt(325) + sqrt(325) + 0)*1 + 5)**2.\nAnswer: 1320*sqrt(13) + 46921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 14) to base 5\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2019966 by 53157.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, h: 1, w: 7}. What is prob of sequence wwhv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/15 + 26\/10. Suppose -21*b - 9*b + 78 = 9*b. Determine i so that 0 + 6*i - 3\/2*i**c - 9\/2*i**b = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/79 and (-237)\/(-456) + (-40)\/(-380)?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7503 = -50*b + 5797. What is the greatest common divisor of b and 2204?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-32)*-12*(-504)\/49*-7\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*2*((-1 + sqrt(1216) + -5 - sqrt(1216)) + sqrt(1216) + (1 + sqrt(1216))*6) + 3.\nAnswer: -672*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)\/a*a*a**(3\/14))**50\/((((a\/a**(2\/5)*a)\/a)\/a)**(31\/4))**(-2\/21) assuming a is positive.\nAnswer: a**(1969\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, x: 2, j: 1, b: 2}. Give prob of sequence bwx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -213\/7*b - 3\/7*b**2 - 1830\/7.\nAnswer: -3*(b + 10)*(b + 61)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)\/g*g**5*g*g)**(-34) assuming g is positive.\nAnswer: g**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 20. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-124))\/(-1 - 0). Suppose -t + 4*q - 4 = 3, -4*t = -2*q + 14. Which is the third smallest value? (a) t (b) -2\/19 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:14 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3529, -3355, -3065, -2659, -2137, -1499, -745?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5*(-3)\/45)\/((-1)\/9). Let g be (-2 - 1)*(-1)\/3 - b. Suppose 303 = q + g*n, 0*n = -3*q - n + 931. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213384 = 312*j - 295*j. List the prime factors of j.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-7\/3)*p*p\/(p\/p**(-8)*p))**(1\/4))**(18\/13) assuming p is positive.\nAnswer: p**(-21\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n - 122. Let h(a) = 4509*a**2. What is q(h(i))?\nAnswer: -13527*i**2 - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.1 + -11. Let r = k + -5.1. Let s = r + 6. Which is the closest to 3? (a) -3\/4 (b) s (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23601200 and 1120?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 63. Let x = -1 - h. Let f(c) be the second derivative of -c**4\/12 - 5*c**3\/3 - 3*c**2 - 4*c + 1. Calculate f(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 12*j + 3. Let z be t(5). What is the greatest common divisor of 52 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -781\/26. Let i = 5\/39 - k. Let s be 2\/(-15)*(-3)\/(-1). Which is the nearest to -1? (a) i (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**5 - 45*k**4 + 3891*k**3 + 11997*k**2 = 0?\nAnswer: -43, -3, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence non when three letters picked without replacement from nmmnnnnmnnomn?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 6*v**2 - 3*v + 10. Calculate k(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, y: 4, l: 2, a: 2}. What is prob of sequence ee?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.8274um in centimeters?\nAnswer: 0.05758274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13564, 13572, 13580, 13588, 13596, 13604?\n\"Answer: 8*g + 13556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, x: 1, z: 1, w: 1, q: 2, s: 1}. Give prob of sequence sqqw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let f = i - -1.2. Is -1\/10 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhfaaakaaaggkajfjaj. Give prob of sequence hakk.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-258)*(-7728)\/(-15456)?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**5\/60 + 5*l**4\/24 + 27*l**2. Let z(d) = 0. Calculate d.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:04 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/9 + -1)*60. Suppose 4*u + u = f. Let m be 140\/(-21)*(-42)\/5. Calculate the greatest common factor of m and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**6\/120 + 2*w**5\/15 + 5*w**4\/12 + 4*w**3\/3 + w**2 + 6*w. Calculate l(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 488.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 = p, 1 = t - 2. What is the highest common divisor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 14*s**2 - 35*s - 18. Let r be c(-11). Suppose f + 17 = -r*l + 6*f, l - 22 = -4*f. Solve l*q + 15 = q - 4*m, -3*m - 13 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 21. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.8 - -0.2. Let s = 4 - j. Suppose -q - 3 = 1. Sort s, 0, q in ascending order.\nAnswer: s, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1141766497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 13 = -11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/20*(-15 - 0). Let i(k) = 2*k**2 + k + 9. What are the prime factors of i(t)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**5\/20 - x**4 - x**3\/6 + 34*x**2. Calculate the remainder when 30 is divided by r(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 773175944 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q - 240*q**2 + q + q + 1 + 9*q**3 - 15*q**3 + 18*q**2 to z + y*q**3 + d*q**2 + n*q and give d.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, w: 6}. Give prob of sequence zw.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1401 + -23771\/17. Find the common denominator of -5\/13 and i.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12902 is divided by 287?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257269?\nAnswer: 31, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(3 - (-1 + 5)). What is the second derivative of -q - 12*q**5 + 4*q - q - z*q wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 6*q - 4. Calculate m(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 7. Let m be i(0). Suppose m*x = 6*x + 3. Factor 12*z**x - 8*z**2 + 2*z**2 + 3*z - 13*z**3 + 4*z**3.\nAnswer: 3*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27833 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20907 is divided by 3950.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2162514.\nAnswer: 2, 3, 439, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 25*d**3 - 13*d - 2*d**2.\nAnswer: 25*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a - 19 = -71*a + 104 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h**2 - 5*h + 9. Let w be l(8). Let f = w + -20. Suppose 0 = -f*y + y + 15132. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5113902, 10227799, 15341696?\n\"Answer: 5113897*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2. Let g(v) = 62816357*v**2. Calculate o(g(h)).\nAnswer: -7891789413502898*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 229 + -146. Let c = 80.35 - o. What is c rounded to one decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -73. Let n = -1 + h. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 1, 13 in descending order.\nAnswer: 13, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5848835 is divided by 76.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d = 3*d - 210 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f - 1. Let y(n) = 14*n - 9. Let x(j) = -1. Let q(z) = 6*x(z) - y(z). Let i = -67 - -64. Calculate i*q(t) - 8*u(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 4393.9.\nAnswer: 5712.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 1 - 2*h)*(2*h - h - 3*h)*(10*h - 4*h + 11*h).\nAnswer: 34*h**3 + 34*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4689193 is divided by 521017.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 + 9*l**2 + 8*l - 3. Let n(u) = 4*u**3 - 8*u**2 - 8*u + 3. Let y(m) = 3*a(m) + 4*n(m). Calculate y(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5072.997t?\nAnswer: 5072997000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -196bd (base 14) to base 3\nAnswer: -10021102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 2*i**2 - i - 1. Let m(t) = -333*t**3 + 22*t**2 + 11*t + 482. Let k(d) = 11*a(d) + m(d). Differentiate k(b) wrt b.\nAnswer: -966*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -720*c. Let f(v) = 937*v**2. What is f(k(u))?\nAnswer: 485740800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -50 + 54. Solve 16 = 4*r - 0*u + 2*u, -3*u = s*r - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from {q: 1, g: 3, h: 1, y: 5, p: 1, c: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let g(v) = 136*v**2. Determine r(g(d)).\nAnswer: 136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390*t - 1318*t + 935*t - 1331*t)*(-1 + 2 + 1)*(-2 + 3 + 1).\nAnswer: -8416*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) 0.1 (d) 5515 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.414124 millennia to years.\nAnswer: 5414.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1, -268 = o + 2*w - 389. What is the greatest common factor of o and 2173?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**6\/720 - v**5\/10 + 4*v**4\/3 + 13*v. Let x(f) be the third derivative of q(f). What is x(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293560994 to the power of 1\/3, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -851 - -853. Suppose 153 = s + 3*w, n*w + 459 = -72*s + 75*s. What is the greatest common divisor of s and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572634166 to the power of 1\/2, to the nearest integer?\nAnswer: 23930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57807 is divided by 13160.\nAnswer: 5167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-117) - 22\/26. Let h(x) = -43*x + 2. List the prime factors of h(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -144, -4, -0.1, 0, -1 in increasing order.\nAnswer: -144, -4, -1, -0.1, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 3875.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 4*r. Let o be r\/((12\/(-2))\/(-3)). Suppose -2*w + 5*z = -120, 4*w = -o*w - 4*z + 296. What is the remainder when w is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 62284*v - 1868501. Give f(30).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -10*s**6\/3 - 16*s**5\/5 + 45*s**4 + 64*s**3\/3 - 152*s**2 - 192*s - 5816. Find g, given that m(g) = 0.\nAnswer: -3, -1, -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4\/(j*(j**(1\/2)*j)\/j))**(11\/2)\/(j**(-1\/9)*j*j\/j**(1\/5))**(-28) assuming j is positive.\nAnswer: j**(10987\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10223113 (base 4) in base 15?\nAnswer: -5a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41231914 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -3882.\nAnswer: -15528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485 = 5*n + 370. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**2 + 3*v + 32*v**2 - 3*v.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-9) - (-994)\/105. Let x = -193\/10 + q. What is the common denominator of -39\/2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1 - 2 + 4*c + 0. Suppose 19*u - 15*u = 2*d - 12, d - 14 = 4*u. What is o(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3\/5 - 883707*a**2\/5 + 13014662232*a + 143182671060 = 0 for a.\nAnswer: -11, 147290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -356.06 - -353. Let i = j + 0.06. Let y = i - -7. What is the third biggest value in -0.3, 2\/19, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52472.8*-23\nAnswer: -1206874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7914 = -8*p + 20566. Suppose 3*g - 5*q + p = 8*g, 0 = -g + 2*q + 706. Find the second derivative of m - 724*m**4 + g*m**4 + m wrt m.\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, 113, 115, 115?\n\"Answer: -f**2 + 7*f + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 17. Let f(t) = t**3 - 7*t**2 + 6*t + 6. Determine f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 11. Suppose 2 + 2 = 4*r. Let h(n) = -n**3 + n - 1. Let y(t) = -5*t**3 + 6*t - 2. Calculate b*h(z) + r*y(z).\nAnswer: -z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 449109101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0*u = 2*p - 585, 5*p + u = 1505. Let h = p - 157. Suppose 31 = 2*x + 5*z, 3*x + 5*z = z + 43. Calculate the highest common divisor of x and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5625 and 4220250?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10514 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 53 - 67 - 57 - 187*u.\nAnswer: -187*u","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 1141 = -1290. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*l - 15*l - 6*l**5 - 13*l wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = -0. Let t = 22 + h. Suppose 7*y = t*y - 25. Solve -y*w + 2*w = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452508689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 729 and 2241675?\nAnswer: 2241675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (12 + -21 - (-1 - 1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32\/(-224)*(-2 + 2). Suppose -2*p = 0, -3*f + p + 152 - 32 = j. Solve -f*t - 5 = -39*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -616711 to the nearest 1000.\nAnswer: -617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 3. Calculate the remainder when 10 is divided by f(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 + 8\/5 - 1\/5*f**3 - 2\/5*f = 0. Calculate f.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.72 - 0.08. Let j = 1.1 + o. Let p = j + 0.2. Which is the closest to 1\/4? (a) 2\/13 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.06 - 7.06. Which is the second smallest value? (a) u (b) 3 (c) -1\/3 (d) -100\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -23. Let h(z) = 3*z**2 - 1. Let k be h(1). Let r(y) = 6*y**2 - y**k + 3 - 5 - y**3. Determine r(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*d = d + 3, 5*o + 4*d + 12 = 0. Which is bigger: 2\/19 or o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l - 0. Let o be ((-3)\/(-6))\/(2\/12). Suppose o*r = r. Solve r = -0*y + l*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w - 3*z = 381, -8 = -2*z. Suppose 2*s = -15 + w. Suppose 0*v - 5*m + s = 3*v, 4*v + m = 49. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 16. Let o(a) = -3*a**3. Let s be o(z). Solve -3*p - s*h = -0*h + 12, -2*h - 14 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.7, -1, 0, -3, 5\/4 in descending order.\nAnswer: 5\/4, 0, -1, -1.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222032037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/35 (b) -0.5 (c) 3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 times -75.9?\nAnswer: -21707.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) - 35\/(-20). Suppose -3*h + 216 = d*o, 4*o - 312 = h + 106. What are the prime factors of o?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903201 a multiple of 1058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13820*s + 13266*s + 57062 for s.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c - 10*c + 102 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 10*w**2 - 10*w - 1. Calculate x(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13\/2*((-24)\/12)\/1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 1225, 1952, 3049, 4636, 6833, 9760, 13537?\nAnswer: 18284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = -15*m + 24*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 215, 630, 1757, 3950, 7563, 12950, 20465, 30462?\n\"Answer: 59*a**3 + 2*a**2 - 4*a + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6 + (-64)\/8 + -9 - -2374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/5))\/((i\/i**(2\/7)*i)\/i))**(-25)*(i**(-2)*i)\/i*i**(-2\/5)*i**(4\/7)\/(i*i*i**(-2\/19)) assuming i is positive.\nAnswer: i**(-576\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 10*z**2 + 8*z - 5. Suppose 0 = r + i + 1 - 0, -i - 17 = -3*r. Let q be t(r). Let k = q - -70. Solve -5*v - 4 - k = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -276, -976, -2140, -3768?\n\"Answer: -232*a**2 - 4*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 69*b - 14*b)*(-2*b + 3 - 5 + 0).\nAnswer: -118*b**2 - 118*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 24*c**2 + 34*c + 43. List the prime factors of g(24).\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 88 (b) 0.5 (c) -1\/2 (d) -0.111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z - 2. Let t be j(-2). Suppose -244 - 204 = -56*l. What is the greatest common divisor of l and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36831*u**2\/5 - 1695*u.\nAnswer: 3*u*(12277*u - 2825)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejaajaaaejj. What is prob of sequence jje?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569 - -1973. Calculate the greatest common divisor of i and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97258 = 333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 663*a = 665*a + 35, 4*a = -4*f. Let x(w) = 4*w**3 + 7 - 5*w**3 - 1. Let l(r) = -r**3 + 11. Calculate f*x(q) - 4*l(q).\nAnswer: -3*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:14 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*j + 3 + 74. Let w(a) = -2*a**2 - 22*a - 16. What is w(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3989 - 1681 + 3434)*(l + l + 0*l) as r*l + o and give r.\nAnswer: 11484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 351 and 2349.\nAnswer: 30537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1444*q**4 + 1047356*q**3 + 190438556*q**2 + 189392644*q.\nAnswer: 4*q*(q + 1)*(19*q + 6881)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 41. Let u = p - 22. Calculate the highest common divisor of 33 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 16*i - 8. Calculate the remainder when m(19) is divided by -2 + 1 - (-12 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 6*x**2 - 120*x + 4. Let s be h(20). Suppose 3*t - 3*j - 1665 = 0, -5*j = s*t - 0*j - 2238. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 1.2. Let p be 5\/(-15) + 392\/(-84). Put 2\/3, p, j in ascending order.\nAnswer: p, j, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**3 - 5*h**3 + 2*h**3 + (-6*h + 4*h + 3*h)*(208*h**2 + 3241 - 3241))*(-h + 0*h + 3*h).\nAnswer: 418*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 13, -24, 8 in increasing order.\nAnswer: -24, 3, 4, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27757 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7923, -15827, -23731?\nAnswer: -31635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198688 and 49466216?\nAnswer: 7096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*g**3 + g - 26*g**2 + g + 25*g**2 + 2*g - 6*g in the form o + y*g**3 + u*g**2 + b*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 - 2*o**3*u**3 - 67*o**3*u**2 + 10*o**2*u**3 - 2*o**2*u**2 - u**3 wrt o.\nAnswer: -60*o**2 - 12*u**3 - 402*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2757327 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110010011111101 (base 2) in base 13?\nAnswer: a1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + ((sqrt(1100) - -2*sqrt(1100)) + sqrt(1100))**2*-6).\nAnswer: -527990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 15*u + 18. Let w be a(-1). Solve 0 = w*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (192\/96)\/(6\/(-3)*-7)*-106\nAnswer: -106\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 6.0668?\nAnswer: 3.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = 0. Let b = -9 - -13. Solve b*d + d + 10 = s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -4. Suppose 4*d + 10 = -t*u, 14 = 3*u - 5*d - 15. Suppose 0 = -10*z + u*z + 14. What is the second smallest value in 3, z, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywyyyyyyyy. Give prob of picking 1 y and 1 w.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*((sqrt(28)\/sqrt(4))**2 + 3 + 2*sqrt(175) + sqrt(175)).\nAnswer: 20 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 44*j**2 + 1\/6*j**3 - 1\/24*j**4 + 0 + 0*j - 1\/30*j**6 - 1\/60*j**5. Let w be r(1). Put -3, w, 5, 4 in decreasing order.\nAnswer: 5, 4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 8*l + 33. Calculate the remainder when 51 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1450)\/(-30))\/(-29)*(-3)\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/((sqrt(48)\/(-1*sqrt(8)) - sqrt(6)) + sqrt(6)))**2 + -4 + 1 - (((0 + sqrt(637))*4 - (-4*(1 + sqrt(637)) - sqrt(637))) + -3)**2.\nAnswer: -51588 - 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 100335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 + 10 + t + 0*t - 17 - 104.\nAnswer: t - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q**2 - 7*q - 2. Let v(y) be the third derivative of -2*y**5\/15 - 5*y**4\/24 - y**3\/6 - 89*y**2. Give 5*m(n) - 7*v(n).\nAnswer: -4*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -4 (b) 0.6 (c) 767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(-4\/7)*m)\/m*m)\/m)\/(m*m**(-10)))\/(m**4)**(-29) assuming m is positive.\nAnswer: m**(886\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 + 11*n - 2. Let d be r(3). Suppose -d*j - 15 = -131. Let x = -2 + 19. What is the remainder when j is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10\/9 (b) -1\/4 (c) 26\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 6*h**2 + h + 1. Determine r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 1. Let j(k) = 733*k**2 + 2*k + 1. What is j(h) - q(h)?\nAnswer: 733*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*n + n - 10, 2*d - 2*n = 16. Suppose -r = -d*f - 4*r - 25500000, 0 = -3*f - 3*r - 15300000. Round f to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11068 in -76, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 310*v**2 - 33*v**2 + (6*v - 3*v - 5*v)*(2 - 2 + 3*v))*(2 + 1 - 5).\nAnswer: 698*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/10 - 35\/(-2). Suppose -16 = -5*j - w, p = 5*j - 2*j - w. Solve 0*m = -j*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 + 3*u. Let g(x) = -15*x**2 + 11*x. What is 6*g(h) - 22*t(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-125 - -101)*((-2)\/(-3) - 9\/27).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 37*y + 1211. What is u(-21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 33 + -60 - (-1 + -6)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 355? (a) 0 (b) 1.41 (c) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**3 + 534098*j**2 + 3567066600*j + 17465805000.\nAnswer: 2*(j + 13350)**2*(10*j + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 260594533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 388771691 a multiple of 4403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y - 54*y + 23 = 0. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -4860?\nAnswer: 4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2628 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - 0 - (5 + -6). Let i be (l + 1)*2\/(-3). Suppose 0 = i*k - 2*b - 4, 2*b = k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3 - 14439916*b**2 - 57759716*b - 43319796 = 0.\nAnswer: -3, -1, 3609983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6213063mm in nanometers?\nAnswer: 621306.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + -6*(-5 + 0 + sqrt(147))*-6 + 4.\nAnswer: -176 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2295 + 0.1705. Which is the nearest to -2\/15? (a) s (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 40*a - 3 - 4 + 2*a**2 + 0*a**2 + 0. Let p be u(-20). Let z(y) = y**3 + 6*y**2 - 6*y. Calculate z(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-1)\/(-5))\/((-4)\/20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 7*a + 6 = -3*u, 0 = -4*u + 3*a + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (9 - -189) + -77.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4091.699 less than -1734246?\nAnswer: -1730154.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -50. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5638394.7042 and 0.02.\nAnswer: 5638394.7242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -5, 108, -182, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -611.2, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 12*x - h - 12, 3*h - 12 = -4*x. Suppose -6*k + 4*m = -3*k - 263, -m = -x*k + 257. Calculate the remainder when k is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/660 - a**5\/110 + a**4\/66 - 11*a**2. What is w in j(w) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5122037?\nAnswer: 31, 127, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - l**2)*(-37 + 1 - 3) + 2*l**2 + 2*l - 2*l)*(l - 4*l - l).\nAnswer: -164*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/765016 and 58\/49611.\nAnswer: 52786104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {s: 1, o: 2, m: 1, g: 12, t: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60751680 a multiple of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000551 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 2*t**2 - 63. Determine i(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 4289*p - 7*p**2 + 1453*p + 2836*p.\nAnswer: -7*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -46\/25, -0.7, 0.2 in descending order.\nAnswer: 0.2, -2\/35, -0.7, -46\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -m + 2, 3*m = z - 2 + 1. Suppose -w - 2*w = m. Suppose 5*t + 2*y = 72, t - 4*y - 12 + 2 = w. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4256 times -22?\nAnswer: -9.3632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/4819 - 226501\/19276. Let v = -204\/5 + 233\/10. Find the common denominator of u and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 6 - (0 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(-21))\/(((-140)\/(-15))\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33141250 (base 6) to base 7.\nAnswer: 11304126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1019600020 rounded to the nearest 1000000?\nAnswer: -1020000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49814*d**2 - 44755.\nAnswer: 99628*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.064 (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 27*v + 169. Let q be t(21). Let h = 59 - q. Solve 7*u + h = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -337?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 5:19 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 422059 * -8\nAnswer: -3376472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y**2 - y**2 + 16*y**2 + 3*y**2 + y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:32 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 2*h + h)*(-15 - 6 - 165*h + 21).\nAnswer: 660*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*n - 143*n + 2*n**3 + 1 + 518*n.\nAnswer: 2*n**3 + 919*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 3*w - 2. Let r be b(-2). Suppose 4*v - 2*v = r. Let s = -236 - -233. Which is bigger: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*m = 11, -m - m - 4 = -g. Suppose 0 = -5*t + 5*p + 60, 2*t + g = -5*p + 30. Solve h + t = -3*h + 5*r, 0 = 2*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24645 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 5*i**7\/42 + 2*i**3\/3 - 4*i. What is the second derivative of t(f) wrt f?\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + 1 + -2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 4*(-2*sqrt(152)*1)\/(sqrt(48)\/sqrt(54)) + 1).\nAnswer: 18 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(190) + -5*(1*sqrt(190) - sqrt(190)) - sqrt(190) - sqrt(190))\/(1*sqrt(1440)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 + 5 - 4 + w + 4*w**2. Let s(v) = -v**3 - 2*v**2 + 3*v - 1. Let p be s(-3). Give k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/6 and -119\/17200?\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85)*-3*4 - (sqrt(85) + sqrt(85)*3*-6))\/(3*(sqrt(125) - (sqrt(125) - 6*(1*sqrt(125) + sqrt(125))))).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74690987 is divided by 24896993.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -115*f**3 + 9*f**2 + 112*f. Let j(l) = 57*l**3 - 4*l**2 - 56*l. Let a(z) = -9*j(z) - 4*v(z). What is the second derivative of a(p) wrt p?\nAnswer: -318*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 50 = -4*i, 8*i - 96*n - 104*n - 106 = -198*n for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -5*f**7\/273 + 29*f**6\/195 + 7*f**5\/26 - 209*f**4\/78 + 74*f**3\/13 - 72*f**2\/13 - f + 257. Solve w(z) = 0.\nAnswer: -3, 4\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.5 - -26. Sort h, -3, 1\/44, 1\/8 in ascending order.\nAnswer: -3, h, 1\/44, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 11, 22 in decreasing order.\nAnswer: 22, 11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-3 - -19) + (-11 - 4) + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 123663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**3 - 2162*r**2 + 6468*r = 0.\nAnswer: 0, 3, 1078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 998*m**2*v**2 - 2*m**2*v - 70*m**2 + 21*m*v**4 - 16*v wrt v?\nAnswer: 1996*m**2 + 252*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -7. Suppose 5*u - 4 + 9 = 0. Sort d, -3, u.\nAnswer: -3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -731, -716, -701, -686, -671, -656?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*j + 11543, 0 = -100*g + 99*g + 3*j - 11515. Is g equal to -11527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1463 + -0.1463. Put 4, c, 0.4 in decreasing order.\nAnswer: 4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11493547 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*j**6 + 388*a*j**3 - 3*a*j**2 - 5*a*j + 17*a wrt j?\nAnswer: 240*a*j**3 + 2328*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffiifmmysifiyxi. What is prob of sequence xff?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rraarr. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.07, 0, 6, 0.3 in ascending order.\nAnswer: -0.07, 0, 0.3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12228 and 0.4?\nAnswer: 12227.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + 3 + 16 - 6\/2. Let z(q) = q**2 + 10*q - 9. What are the prime factors of z(a)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q + 3*i - 62871, q - 20951 = 5*i. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-1)\/(-15)*10. Let t(q) = -q**2 + 6*q - 2. What is t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 9:40 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551*m**3 + 1043*m**3 - 4*m**2 + 4*m**2.\nAnswer: 1594*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2411364016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 14. Give f(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2*-1 - 1). Suppose -f + n*k - 25 = -2*f, -4*f - k + 56 = 0. Suppose -3*r + 4*r = 4*t - f, 4*t + 4*r = -12. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207211377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 415899.9 microseconds in days?\nAnswer: 0.00000481365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:51 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46836842 is divided by 247.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + (sqrt(130)*-2 - sqrt(130)))*3 + 4*sqrt(130)*-2 + sqrt(130))\/(sqrt(120)\/(sqrt(12) + sqrt(12)*-2) - sqrt(160)\/sqrt(4)).\nAnswer: 13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(2\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1403, 1313, 1221, 1127, 1031?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - -6382582?\nAnswer: 6382564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5 or -1389265?\nAnswer: -1389265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 108. Let l be 27\/2*10\/15. Let k be (-2)\/l + (-114)\/(-27). Sort q, -4, k in ascending order.\nAnswer: -4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 65.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 551*g + 1 + 623*g.\nAnswer: 1174*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrprrrrrprprpprrrr. What is prob of picking 1 p and 1 r?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 = -3*y - 0*y. Let a be (y\/(-35))\/(2\/(-10)). Suppose -5*v - a = 2*j, 5*v - 4*j + 5 + 12 = 0. Put 0.3, -1, v in descending order.\nAnswer: 0.3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 16, -2801, 0, 7.\nAnswer: -2801, -3, -2, 0, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 50069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 85. Let d be -2 - ((-18)\/i - 2). Do d and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253263513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 9*q - 8. Let z(n) = -n**2 + 2*n. Determine -u(f) + 3*z(f).\nAnswer: -f**2 - 3*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 5:12 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3410 and 121990.\nAnswer: 3781690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.3855 to two decimal places.\nAnswer: 9.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q**(-3\/25)*(q*q*q**8)**4 assuming q is positive.\nAnswer: q**(872\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((85\/408)\/((-1)\/(-4)))\/((-42)\/(-63)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27727675.\nAnswer: 5, 281, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*v**2 + 171*v**2 + 2*v + 68*v**2 + 0 - 6*v + 1 + v**3 to h*v**2 + b*v**3 + f*v + j and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 11*x + 7. Let p = -455 + 1030. Let o = 586 - p. Give n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {t: 3, k: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 3:33 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483521847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215476105.\nAnswer: 5, 13, 17, 109, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, -6 in descending order.\nAnswer: 0, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -19, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.35 from -82768699.\nAnswer: -82768698.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02181 - -2.09719. What is c rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 8}. Give prob of sequence sgsg.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*s = -83*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 9. Let q be l(5). Let t = -22 + q. What is the third derivative of -19*c**5 - 2*c**t + 18*c**2 + 4*c**2 - c**5 wrt c?\nAnswer: -1200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -506622, -1013239, -1519856, -2026473, -2533090, -3039707?\n\"Answer: -506617*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99507*y - 181184 with respect to y.\nAnswer: 99507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 82*g - 1836. Let n be v(-34). Factor 19\/4*t - 1\/4*t**2 + n.\nAnswer: -t*(t - 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2871 + 458. Let z(q) = -953*q**2 - 2*q - 4. Let d be z(3). Let o = m + d. What is o rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-9)\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1088699, -2177400, -3266101, -4354802, -5443503?\nAnswer: -6532204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -40. Let l(v) = -2*v - h*v + 6*v - 4*v. Let r(a) = -a**2 + 4*a - 4. Let g(u) = -u**2 + 5*u - 5. Let w(i) = -4*g(i) + 5*r(i). What is l(w(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -94\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22606 - -67858\/3. Do 12 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 86229.45.\nAnswer: 86229.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299)) + 2 + sqrt(2299)).\nAnswer: 6 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-4)*(-15)\/((-840)\/(-32)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -75 - 5*u + 145 - 138. Let f be j(-12). Put f, 4, 2 in ascending order.\nAnswer: f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6800)\/2720*((-2)\/825)\/(4\/(-80))?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52441217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -464651800 to the nearest one hundred thousand.\nAnswer: -464700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 199 + 100*r**3 + 0*r + 13\/2*r**2. Find the second derivative of h(k) wrt k.\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -290, -1080, -2406, -4280, -6714?\n\"Answer: -2*q**3 - 256*q**2 - 8*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 99904823*d**3*x**3 - 18*d**3*x**2 + d**3*x - 17*d**2*x**2 + 7*d**2 + 4*x**2 wrt x?\nAnswer: 599428938*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1142.1 + 1142. Sort 222, i, -21.\nAnswer: -21, i, 222","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25753*k**2*p**2 - 122*k**2 + 6*p wrt p.\nAnswer: -51506*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x + 9. Let h be s(-9). Let q be 60\/27 - (-8)\/h. Let o(a) = 4*a**2 + 5*a - 1. Let t be o(2). Solve 3*c + t = -q*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 4664033 (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnxtdwxdwvxd. What is prob of picking 1 n and 3 d?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -436?\nAnswer: -87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/355 or 1?\nAnswer: -6\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let t(g) = -7684*g - 1. What is t(j(h))?\nAnswer: -7684*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5)**(-19))**(-5) assuming u is positive.\nAnswer: u**475","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykff when four letters picked without replacement from {f: 2, y: 13, z: 2, k: 3}.\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/36)\/(2\/(-18)). Let p(z) = 9 + z - 3*z + 4. Let b(s) = -5*s + 26. Let l(x) = m*b(x) - 5*p(x). Differentiate l(r) with respect to r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00054255385 to 7 dps.\nAnswer: 0.0005426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72300, -144584, -216868, -289152?\n\"Answer: -72284*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-2)**2 - 3*sqrt(208).\nAnswer: -12*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2903234 rounded to three dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*o + o - o)*(-1 - 1 + 0) + 129*o + 52*o + 307*o)*(1 + 5 - 2) to the form n + g*o and give g.\nAnswer: 1968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 h when two letters picked without replacement from ssshsnnhshsnhn?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 103, 457, 1047, 1873, 2935, 4233, 5767?\n\"Answer: 118*d**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (10 - -1 - (-158 - -164))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-5*(0 + sqrt(125)) - sqrt(125)) - (sqrt(125)*1*-6 + 0)) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 3*n + 3, -11*i + 14*i - 5*n + 19 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2484, 4653, 6786, 8871, 10896, 12849, 14718?\nAnswer: 16491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 2*h + 3. Let w(r) = r. Let b(s) = q(s) - w(s). Calculate the remainder when 51 is divided by b(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 3*v**2 + 10*v + 2. Let q be d(-5). Suppose q*f = -2*f + 5*j, -2*f = -5*j. Solve -2*n + 0*n + 6 = f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 817 - 473. Does 6 divide (-12)\/8*j\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + h**2 + 9*h - 8. Let c(x) = x**2. Let l(z) = -6*c(z) - k(z). Let a be ((-156)\/(-9))\/2 - (-6)\/(-9). Calculate l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -3 (c) 0.63 (d) 0.5 (e) 2 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 2663 - 2648 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 10*i + 3. Suppose 4*q - 3 = 5. Suppose -5*k + 27 = -q*k. What are the prime factors of c(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -572 + 331. Let i = -65 - g. Does 44 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000621568534 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 9*m + 15. What is r(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 24433089, 24433093, 24433097?\n\"Answer: 4*q + 24433085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 2*d - 9. Let g be f(-9). What is the highest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyy when three letters picked without replacement from azaqyayzqyqjytq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14532078 divided by -4844026\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2937489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1663 - -1665. What is the second smallest value in 0.05, n, 15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Let o(q) = -5*q - 5. Let x be o(-9). Let a be ((-1)\/10)\/((-16)\/x). Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.163469011498 + -137\nAnswer: -137.163469011498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10889 - -1.4.\nAnswer: -10887.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000187491385 to 7 decimal places.\nAnswer: -0.0001875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.933576 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333127 and 1246?\nAnswer: 4663778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25010 (base 6) in base 12?\nAnswer: -2166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/2))\/x)**(-30)*(x**(-3))**36 assuming x is positive.\nAnswer: x**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 143013 - 40443 = 0. What are the prime factors of s?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 + -368. Let u = -42 - -64. Let p = g - u. Which is smaller: 0.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 23*n**2 - 22*n - 1. Let h be q(22). Is (h + 3)*10\/8*1214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*k - 1. Let r = -3 + k. Let a(b) = -b**2 - b - 1. Determine a(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 15 = -7*v - 3*x, x = -3*v + 13. Let k be (-3 - (-7)\/2)*v. Suppose k*a + 2*l + 8 - 34 = 0, -10 = -2*a - 5*l. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28318*n**3*q + 162*n*q**2 - 3*q**2 + 389202*q with respect to n.\nAnswer: -84954*n**2*q + 162*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11612.\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(5)*-2)*-4)**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004526045 divided by -6?\nAnswer: -334842015\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -1\/60*o**5 - 157\/6*o**3 + 0*o + 0*o**4 + 49\/120*o**6 + 140*o**2 + 0. Find the third derivative of w(k) wrt k.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15*25\/15)\/(8 + -6) and -25\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9860 and 22620?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 80*l + 1. Let h be k(3). Let b = -101 + h. List 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 g(d) = 4*d + 3. Let i be (-8)\/20 + (-679)\/(-35). Suppose 4*o = -5*l - 13, -2*l - l = 3*o + 6. Suppose 2*u - u - 8 = x, -o*u = -2*x - i. What is g(x)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 (base 7) in base 8?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17283 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -1\/8*q**4 + 1\/16*q**5 + q**2 - 1\/120*q**6 - 4 - 1\/6*q**3 + q. Let y(x) be the first derivative of b(x). Factor y(l).\nAnswer: -(l - 2)**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 23*j - 3. Solve -546*z**2 - 4*z**j + 538*z**2 + 4*z**5 - 2*z**4 + 10*z**4 = 0 for z.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 + 199*m + 613. What is the remainder when 2\/3 + 373\/3 is divided by v(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 121*i + 28. Let n be q(-4). Let j = n + 1243. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(95) + sqrt(95) + -2*sqrt(95))*-3 - sqrt(95))\/(-2*(sqrt(5) + sqrt(20)\/sqrt(4))) + 2)*-4*-3)**2.\nAnswer: 144*sqrt(19) + 747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w*z**3 + 26*w*z - 6*w + 14*z**3 + 153849*z**2 - 2*z - 4383 wrt z?\nAnswer: -6*w*z + 84*z + 307698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 - 2 - 4 + 6*s. Let b(m) = 6*m - 8. Suppose 0 = -9*d - 7 - 11. Let f(j) = d*b(j) + 3*g(j). What is the derivative of f(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*r**5 + 18*r - 4*r + 3 - 3 wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 596 + -594.434. What is r rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121325 <= 121324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 301127587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 81*h + 2658. Let k be l(41). Solve 2707*t + 72 = k*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82176*f*m**3 + 2*f*m**2 + 9*f*m + 4161110*f wrt m.\nAnswer: -246528*f*m**2 + 4*f*m + 9*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2286602 + 4*z + 2286602.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -633, -2958, -6891, -12432, -19581, -28338?\n\"Answer: -804*a**2 + 87*a + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j**3 + j**3)*(-41 + 19 + 29 - 1 - 1 + 4 + (3 - 5 + 1)*(4 - 1 - 4) + 0 + 0 - 1 - 2 + 3 - 3 - 2 - 1 + 2).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5971 minus 0.217?\nAnswer: -5971.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -3)*(317 + 37)?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*m + 6 - 17, 0 = 2*d + 3*m - 7. Solve -d*f = -10 + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -0. Suppose -g = t*g - 20. What is the least common multiple of 3\/1*16\/6 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-77\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 51. Let y be c(-19). Let w = 279 + y. Let a = w - 1381\/7. What is the closest to a in -0.5, 0.01, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-16))\/(((-122)\/(-244))\/(4\/6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6108 divided by -2036.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 8*y - 10. Determine h(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6914*c**2 + 52*c + 98?\nAnswer: 13828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5445*q - 1841*q = 2645*q + 64253 for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 79*o - 79. Let n be h(1). Let c(z) = z**3 + 2*z**2 - 7*z + 5. Calculate c(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 5:47 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and 10.372945.\nAnswer: 10.332945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 25*y**2 - 1 - 18*y - 9*y**2 - 7*y**2 to l*y + k*y**2 + g and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/10 - (-15 - -17). Let f = -0.1 + -0.1. Sort d, f, 3\/5 in descending order.\nAnswer: d, 3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1999*w**2 + 105923*w - 1271. What is h(-53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88825446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3053330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p. Give g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 5*j, 2*q - 2*j - 20 = 0. Let x(f) = -619*f - 1. Let h be x(-2). Let d = h - 11200\/9. Calculate the common denominator of q and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) 2\/49 (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64814953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(2 + 1 + -1). Suppose -41*y + 44*y = 156. Calculate the remainder when y is divided by 9 + (-3 - u) + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93395.5387 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 3*g = -141, 2*o - 102 = 4*g. Let p = -31 + o. Suppose -7*u - 515 = -p*u. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/658776 and -49\/1646940.\nAnswer: 3293880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319308 and 226812.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/16*392\/(-60) and -29\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446cd (base 15) in base 10?\nAnswer: 217543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44.7 and 0.1?\nAnswer: -4.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 + 3*h + 2. Let f be a(-2). Suppose 31*d + 28*d + 3*d = 8*d. Solve 2*z = r - f*z - 3, z = d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005212767 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - 2*g + 2*g)*((-6*g + 4*g + 4*g)*(2*g + 0*g + 0*g) - 614*g + 614*g + 27*g**2) to the form y*g + o*g**3 + f*g**2 + m and give o.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5076*x + 420. Is 96 a factor of k(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 108*k**2 - 12*k - 42. Let m be r(-6). Suppose -2*s + m = 4*s. What are the prime factors of s?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 70 = 4*m + 10*w, 4*m + 5*w = w + 76 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -4*f. Sort f, 5, 11 in increasing order.\nAnswer: f, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 4*i + 1029. List the prime factors of d(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2250 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 0.4 (c) -349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 7 + 751 - -8. Suppose d - 184 = -0*t - 3*t, t - i = -4*d. Calculate the greatest common divisor of d and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 23, 7, -0.07 in decreasing order.\nAnswer: 23, 7, 0.3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129590 is divided by 231.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64918896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 4. Let y be f(6). Is 1\/(y + (-364)\/184) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032110030 (base 4) in base 6?\nAnswer: 20254420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d**4 + 9*d**3 - 366*d**2\/7 + 180*d\/7 - 24\/7 = 0. Calculate d.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77541.7 - 72951. Round h to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + 2 + (2 - 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**(-1)*d)))\/d*d*d)**(2\/43)*(d\/d**(4\/3))**(-2\/7) assuming d is positive.\nAnswer: d**(128\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 3*u - 6. Let o be h(5). Solve -5*l - o*f = 15, -l + f - 6 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 51254?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106925470 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 + 1 - 2\/1. Suppose 1 = a + x - 0*x, 4*x + d = 4*a. Solve -a*y - 3 = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 6:15 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, -290, 0.2.\nAnswer: -290, 0.2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1, -388, -3, 0 in increasing order.\nAnswer: -388, -3, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(243) - 5*(sqrt(363) + 0))*1)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31783910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2493 - -3618. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -17)\/(3\/(-4)). Suppose w = o - 1. Suppose 2*b = o + 15. What is the least common multiple of 24 and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -6 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1057 and -25085.\nAnswer: -26142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 497 times 0.1\nAnswer: 49.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u**2 - 97*u + 3. Calculate p(-7).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3))\/((-3)\/9). Let n be 3\/((-2)\/b) + 1. Solve n*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 2. Let z be q(-4). Suppose z*t + 0*w - 18 = -4*w, -2*t = 5*w - 23. Does 20 divide t - -61 - (6 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -13*t + 19. Let y(n) = -1. Calculate c(l) - y(l).\nAnswer: -13*l + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 651?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5116760 and 1160?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**1))**13\/(r\/(r*r**(-2\/5)))**(-21\/5) assuming r is positive.\nAnswer: r**(367\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34207702.\nAnswer: 2, 61, 199, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248440 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 14. Suppose 22 = t - 5*w, 0 = w - 4 + j. Let g(f) = t*f**2 + 4*f**2 - 4*f**2. Let x(l) = -l. Calculate x(g(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*i*k**4 - 2*i*k - 985*i - 179*k**5 + 2*k + 88 wrt k?\nAnswer: 324*i*k**2 - 3580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 + -3.88. Let w = p + 9. Which is the closest to -2? (a) 2\/3 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:46 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - (2 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91002320 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -18845, -18840, -18847, -18872, -18921?\n\"Answer: -a**3 + 12*a - 18856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-72)*-4)\/10. Let c(a) be the first derivative of g*a**4 + 4\/15*a**3 + 0*a - 4 + 2\/5*a**2. What is i in c(i) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 7:15 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 1. Let l be i(-1). Which is smaller: l or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(3\/4))*v)\/(v*v*v\/v**26))\/(v**5*v\/(v*v**2)) assuming v is positive.\nAnswer: v**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 183090*h**2 + 10990800*h + 164889000.\nAnswer: -2*(h - 91605)*(h + 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 754897.8g?\nAnswer: 0.7548978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30200 - -133?\nAnswer: -30001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5 + sqrt(7) + (sqrt(7) - sqrt(7)*1) + sqrt(35)\/(sqrt(20)\/sqrt(4)))*-3 - (1 + -5 + -1*-2*sqrt(175)))**2.\nAnswer: 352*sqrt(7) + 1913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -6 - 4. Differentiate -299*p**3 - 2*p**s + 2*p**2 + 298*p**3 + 10 with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 - 6254*u**2 - 658514*u - 652258 = 0.\nAnswer: -101, -1, 3229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 91, 71, 33, -29, -121, -249?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(-2\/5) assuming q is positive.\nAnswer: q**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**7\/210 - 9*v**4\/4 + v**3 - 26*v**2. Differentiate u(n) wrt n.\nAnswer: -4*n**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.288 + -15.19. Let i = -2421.902 - -2422. Let f = s - i. Sort 6, f, -0.5 in descending order.\nAnswer: 6, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 - 5*t - 17. Let g be m(-4). Let j = 103 + g. Suppose 10*p = 15*p - 285. Calculate the remainder when p is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2096 + -2091. Suppose s = 3*f - 10, -s = -2*s - 2*f. Which is the smallest value? (a) -0.5 (b) s (c) 2\/19 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 36 = 4*u. Calculate the smallest common multiple of (u\/(-4))\/(5\/(-40)) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22220000212 (base 3) to base 6\nAnswer: -3430035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 41. Suppose 6*i + 3*y = i - 141, 0 = i + 5*y + 15. Let u = i - -170. What is the greatest common factor of u and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -114195 and -0.4.\nAnswer: -114195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 14. Let r be z(-12). Suppose -4*i = x - 19, -r + 6 = 4*x - 2*i. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435175529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9099, -2\/9, 7\/48, 1\/4, -3 in decreasing order.\nAnswer: 9099, 1\/4, 7\/48, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10218*b = -10223*b + 530. Solve -b*r = -114*r + 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 * 11.\nAnswer: 0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 291090 to the nearest one thousand.\nAnswer: 291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 - 2*v**4 + v**4 + (-16*v**3 + 11*v**3 + 8*v**3 + 3)*(-1 + 1 - 1)*(-3*v + v - 3*v) as r*v + z*v**4 + o*v**3 + t + w*v**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-38)*279756\/(-7362).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16666 (base 8) in base 6?\nAnswer: 55114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**6\/40 - 37*b**5\/6 - 463*b**4\/8 - b**3\/3 + 1576*b**2. What is the second derivative of z(x) wrt x?\nAnswer: 18*x - 740","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(70)*-6 + (sqrt(70) - (1*sqrt(70) - sqrt(70))*-6))\/(5*-6*-2*sqrt(10)))**2.\nAnswer: 343\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 889*j - 889*j - 32*j**2 + 0 - 1 as r*j + g + s*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 144*d + 20*d**2 + 0 - 1\/4*d**4 - 7\/4*d**3 = 0?\nAnswer: -8, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 0, 13\/11, -1?\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3696\/17 - -424224\/1955. Let n = -5\/23 - m. Sort n, -0.3, 5 in increasing order.\nAnswer: -0.3, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26794237*3.\nAnswer: -80382711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*t - 40. Let c(x) = x**2 + 3*x + 2. Let d be c(t). Suppose -24*f + 25*f = d. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 11. Calculate s(-10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {o: 3, m: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34.8 + 30.8. Suppose -2*s - 15 = g + 4*g, -15 = -s + 5*g. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 0.19 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 5.312, -2\/5, -0.3, -2\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 26. Suppose v - 2*r + 6 = -1, 3*r = y. What is the units digit of 20\/v*(-280)\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) - ((-13508)\/10 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*t + 31 = t, j - 2*t - 14 = 0. Suppose -j*q - 80 = -4*c, 10 + 5 = -3*q. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/2 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -165 times -0.003\nAnswer: 0.495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (13 + -7 - 2) - 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1710*v**2 + 2*v. Let l(b) = -49*b - 1. What is l(y(x))?\nAnswer: 83790*x**2 - 98*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -55. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:02 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19895 divided by -865.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58308 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1479 and 4315722.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/80973 and 32\/134955?\nAnswer: 404865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 + -19)\/(4\/(-26)). Suppose k = 2*s - 4*d - 10, -2*s - 3*d = -97. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 176 = -107. List the prime factors of k.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = d - 5*p, d + 2*p + 8 = -3*d. Suppose -6 = -i - 3*b + 3, d = 5*i + 2*b - 58. Let o = 14 - i. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3 + (5 - 7)). Suppose 0 = c*i + 9 - 1, 2*f + i = -16. Is -7 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from wwtwlowtlyto?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 0*i + 3 - 7 to the form d*i + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 2. Let x(k) = 3. Let h(g) = 6*l(g) + 4*x(g). Let s = 5 - 27. Suppose 88 = 11*c + 11*c. Let t(u) = u. What is c*h(d) + s*t(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5550 and 3330?\nAnswer: 16650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2 + 6*o - 6. Let t(p) = -6*p**2 - 11*p + 11. Let c = -3 - -7. Let b = c - 10. Let z(d) = b*t(d) - 11*w(d). Let n(h) = -h**2. Determine z(n(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 16007?\nAnswer: -16010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 7*g + 13. Let r(x) = x**2 - 11*x + 19. Let k be r(8). Let f be n(k). Solve 0 = 4*s - f*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57357322 to the power of 1\/2, to the nearest integer?\nAnswer: 7573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 68366 smaller than 68366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-465)\/(-15) + -15 - 379050\/23655.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2026789\/170 - -11922. Calculate the common denominator of -77\/20 and m.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18516559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 - 135 + 67 + 14*z)*(5*z - 4*z - 5*z)*(4 - 1 - 2).\nAnswer: -56*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -5921*u**6\/6 + 69*u**3 - 6085. Find the third derivative of d(x) wrt x.\nAnswer: -355260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 13 = -3*n + 4*n, -5*n + 23 = -4*c. What is the remainder when n is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*u + 2*u**3 + 19 - 386*u + 196*u.\nAnswer: 2*u**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 16 = 6. Let u = 2 - m. Sort -3, -1, -4, u in decreasing order.\nAnswer: u, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 23. Let q = -5 - -5.1. What is the smallest value in j, q, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*y + 7 - 791*y**2 + 17 + 60*y - 10*y wrt y?\nAnswer: -1582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b + 2. What is i(-9)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose 5*x = 18 + 2, 2*x + 1 = r*d. Do -0.1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -10.\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 15*z**5\/2 - 312*z**4 + 204*z**3 + 11472*z**2 - 17064*z - 8640 = 0.\nAnswer: -6, -2\/5, 2, 6, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*f - 2*f. Let d = -10 - f. Let n be -2*(-4)\/16*d. Solve -2*b - 3 + 1 = n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*s**4 - 48*s**4 + 13*s**4 + (3*s + 0*s - 4*s)*(0*s + 0*s - s)*(6*s**2 + 2 - 2).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*h**3*u**2 - 318*h**3*u + h*u**2 - 14*h*u + 115*u wrt h.\nAnswer: 270*h*u**2 - 1908*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 206539157*j**2*s**3 - 4*j**2*s**2 + 323*j**2*s + 2*j**2 + 36*j*s - 23*j wrt s.\nAnswer: 1239234942*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -0.071 in ascending order.\nAnswer: -0.071, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -15, 0*d + 3*u = 3*d - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 15 = 3*r, -7*c - 2*r = -4*c - 40. Let w be 52\/c + 7\/(-35). Suppose -5*z = -12 + 2. Solve f - 8 - z = n, w = 4*f + 3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 4*v + 0 + 1\/6*v**3 + 3*v**2. Is f(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10232767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 divided by 162212?\nAnswer: 2717\/162212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 182168, 182083, 181998, 181913?\n\"Answer: -85*p + 182253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfkyvkfyfkf. Give prob of picking 1 y and 3 k.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 9*j**2 + 3. Let w be r(-3). What is the highest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -28) + 1 + -7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*t + 3*l, 2*t - 12 = -t - l. Suppose 0*r + 69 = t*r. Suppose 2*d = 3*n - r, 0*n + 5*d - 47 = -2*n. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 1 - 1)*(-i**4 + 2*i**4 - 2*i**4) + (2*i**4 - i**4 - 2*i**4)*(-i + 2*i + 0*i).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 927296*u**2 + 121623920*u.\nAnswer: 1854592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((20\/(-18))\/5). Let g = -13 + b. Suppose -16*j + 21*j - 22 = y, -y + j = 2. Solve 0*c = -2*x - c - 9, -g = 2*x - y*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 - 22*l - 8. What is m(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14875936 divided by -43244.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-24))\/(51\/8). Which is the third smallest value? (a) 3 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 4*w**2 + 6*w + 12. Calculate a(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-15)\/4))\/(4\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:35 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/12)\/(69\/(-36) - -2). What is the nearest to -0.1 in -0.5, -0.09, a?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18)*-15*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + 3*z**4 - 3*z**4 + (5*z - 5*z + z**2)*(-9 + 9 - 4*z**2).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2311 - -2305. Let u(j) = j. Let a(y) = 28*y - 1. Determine f*u(w) + a(w).\nAnswer: 22*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2299728 divided by 2.\nAnswer: 1149864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 441. Let a(i) = -5*i - 881. Let x(f) = 4*a(f) - 7*j(f). Let g be x(54). Let l(t) = -t**3 - 8*t**2 - 8*t - 7. Determine l(g).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*l + 71*l - 4*q + 20, -5*q - 5*q = 3*l - 50 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 + 588*b**2\/5 + 343294*b.\nAnswer: -2*b*(b - 1085)*(b + 791)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -157, -316, -489, -682, -901, -1152, -1441?\n\"Answer: -s**3 - s**2 - 149*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b. Let v(x) = 2*x**2 - 2*x. Let u(i) = 5*i**3 - 4*i**3 - i - 2 + 0*i**3 - i**2 + 0*i. Let f be u(0). Calculate f*v(w) + 5*m(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = l - 5*l + 3*x, -123 = -4*l - x. Let o(u) = 0*u - 6*u + 10 - u**2 - 2*u + 0. What is the remainder when l is divided by o(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 125 = -3*x, 263 + 39 = 5*w - 3*x. Suppose w = v - 66. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.727208t in kilograms?\nAnswer: 2727.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -3 - (-4 + -10 - -4). Is -8 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26864 - 132*b**3 - 142*b**3 + 26864 - 2*b as q*b + a*b**2 + j + w*b**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686*k = 666*k + 3660. Calculate the greatest common divisor of 5307 and k.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7168?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -3) + (4 - 2). Let r(x) = 2*x**2 + 1. Let t be r(1). Is (3\/t - 24)*k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (5 + -2)) + 20. Let i = 32 - a. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t. Suppose 3*a - g = 10, 0 = 5*g + 5 - t. Let v = a + 2. Solve -v*q - 27 = -3*b - q, 2*q = 5*b - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 29417.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82.185 + -82.3. Which is smaller: q or 35?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from ceieigm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1976781, 1976791, 1976807, 1976829?\nAnswer: 1976857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*d - 2*d + 24, -3*d - 2*c + 3 = 0. Suppose 2*s - 1 = s. Are s and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12229)\/35*25\/18. Let v = 485 + t. Calculate the common denominator of v and -53\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, x: 1, e: 2, j: 1}. Give prob of sequence xej.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147)\/(-2205)*-705 + (3 - 0).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2049.234 and 4811802.\nAnswer: 4813851.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 + 2\/3*n**3 - 11\/12*n**4 - 1\/20*n**5 + 13\/2*n**2 + 19*n. Is b(-12) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -399.016?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 3*w - 11, 5*b + 21 = 5*w + 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*x = -57*x - 22 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 907033118 to the nearest integer?\nAnswer: 30117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120043?\nAnswer: 7, 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -35*p + 31*p. Solve p*w + 0 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 less than or equal to -148194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 329826858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37 - -63?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 11:42 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -5, -0.23, -14, 4, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.122? (a) 4\/7 (b) 3\/2 (c) -245\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*j + 171*j = 323*j + 600 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(-2\/25)\/(x*x**(-4)*x**4) assuming x is positive.\nAnswer: x**(-27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 54. Let p be q(-19). Let t(z) = 4*z - 7. Let w be t(p). Solve 3*r - 7 - w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - g + 484 = -6*g, -152 = d - 3*g. Is 20 a factor of 1 - (-1)\/(-2)*d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 108?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 48610125 divided by 81\nAnswer: 600125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 655 + 224*g**2 + 1109*g**2 - 655 to t + p*g**2 + a*g and give p.\nAnswer: 1333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u - 5. Let s be 1*(-4)\/(-8)*4. Let a(l) = -4*l + 1. What is s*k(f) + 9*a(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12197\/9 - 1355. Let p = 17 - 17.4. Which is the closest to v? (a) -5 (b) p (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154258249 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159435, 318867, 478299, 637731, 797163, 956595?\nAnswer: 1116027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 165 and 6105?\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2)*-5)\/((-9)\/804). Let k = s - -1697. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46471139 a multiple of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 426, 5, -2, -3, -4, -1 in ascending order.\nAnswer: -4, -3, -2, -1, 5, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*z**5 + 4*z**4 + 37*z**3 + 9503*z**2.\nAnswer: 2280*z**2 + 96*z + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3947\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13598*f**4 - 7405.\nAnswer: 54392*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1099443 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2. Let z(o) = o**2 + 15. Calculate 2*a(i) + z(i).\nAnswer: -2*i**3 - i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**2 - 141516*i - 141519 = 0. Calculate i.\nAnswer: -1, 47173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x - 1. Suppose -4*w - 5*f - 32 = 0, -4*f = -4*w + 2*w + 10. Let q be c(w). Let d = q + 9. Put d, -2, 4 in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 7*s**2 - 9*s + 3. Give p(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -4, 14 in decreasing order.\nAnswer: 14, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-1*sqrt(3)*2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*k - 16 = 0, 0 = -5*c + k - 6*k + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**2\/2 - 4*f + 2. What is l(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 16\/(-4))\/(1\/1). Suppose -3*b = -l*b - 81. What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130003290.\nAnswer: 2, 3, 5, 1444481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:07 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/8, -4, 0.132?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399072 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)**(-2)\/(j*j**(1\/7)*j*(j\/j**(-4)*j)\/j) assuming j is positive.\nAnswer: j**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775109908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59976, -59990, -60022, -60078, -60164, -60286, -60450?\n\"Answer: -x**3 - 3*x**2 + 2*x - 59974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 12232.\nAnswer: -12235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1391704 (base 10) in base 8?\nAnswer: -5236130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2353 (base 14) to base 11.\nAnswer: -4690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -584059\/2 > -292031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73886.\nAnswer: 2, 36943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15522421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001976 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 - 308*p = 0. Calculate p.\nAnswer: 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let h(r) = 90*r**2 + 55*r. Let w(n) = 10*n**2 + 6*n. Let y(q) = 6*h(q) - 55*w(q). Calculate p(y(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 9:37 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7 + 5. Suppose 0 = 2*a - w*a + 490002. Let x = -75001 + a. What is x rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.41 * 0.5.\nAnswer: -6.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 8:12 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -1.57.\nAnswer: -0.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47, -59, -57, -35, 13, 93, 211?\n\"Answer: z**3 + z**2 - 22*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*z = -2, 2*r + 3*z - 7*z - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.5679 nanometers in millimeters?\nAnswer: 0.0005625679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23260.\nAnswer: 2, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2\/4 + 6430747*q\/2 + 41354506978009\/4 = 0 for q.\nAnswer: -6430747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5379771181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29917 - -879?\nAnswer: 30796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 36 = 4*x, 3*l + 33 = -5*x - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10272 - 9648 = -26*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 + v - 1. Let d be -1*(1 - 3 - -1). Let b(w) = 5*w**3 - 7*w**2 - 8*w - 1. Let i(n) = d*b(n) + 4*y(n). Determine i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 23, -2, 4.\nAnswer: -2, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.499 + 0.299. Let n = s + 2.2. Let a = 35.06 + n. What is the nearest to -1\/3 in a, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*d = -2*y - 172, 135 = -4*y - d. Let u = y - -101\/3. Which is the closest to u? (a) -2 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144 - -144. Solve -20 = -3*w + 4*y + 15, -w - y = u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1663 times 4\nAnswer: -6652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9053 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/(-2*sqrt(7)) - sqrt(19))*-6*-5)**2 + (5 + (2*sqrt(1900) - sqrt(1900)) - (sqrt(1900) + (5 + sqrt(1900) + 1)**2 - sqrt(1900))).\nAnswer: -110*sqrt(19) + 36544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -2, 37, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -742, 7, -97 in ascending order.\nAnswer: -742, -97, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 31308*c + 596296 = 0. Calculate c.\nAnswer: -7846, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38714.8 + 38715. Which is bigger: w or 3\/4430?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-70))\/(465\/(-1085)))\/((-22)\/33)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228) + (4*sqrt(228)*3 + sqrt(228) - sqrt(228)) + sqrt(228))\/(sqrt(108)*1 + sqrt(108)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62386*w + 62386*w + w**2 + 25*w**3 + 5 to the form n*w**3 + q*w**2 + p + k*w and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35960579 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: What is the remainder when 29 is divided by (-47)\/(-3) + 1\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -48, -1\/4?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21 from -1795634.\nAnswer: -1795613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/10)\/((-233730)\/(-29400)))\/(-2)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) 2 (c) 18 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.7 (b) 1\/51 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 840, 1895, 3372, 5271?\nAnswer: 7592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/2)*h))\/h**21 assuming h is positive.\nAnswer: h**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10555*l**3 - 22565*l + 22565*l.\nAnswer: -10555*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:11 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 + 2*l**2)*(2 - 573*l + 570*l + 3).\nAnswer: -3*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38810 - -39299. Calculate the greatest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12632 - -3?\nAnswer: -12627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*3 + -1)**2 + (sqrt(28)\/sqrt(4) + 2 - (sqrt(105)\/sqrt(5))\/sqrt(3)).\nAnswer: -48*sqrt(7) + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8382, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4008179.\nAnswer: 7, 572597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(28) + 2)**2 + -4*(0 + sqrt(252) - sqrt(252))**2)*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*w - 9 = 0, 16 = 2*y - w - 2. Suppose -y = -s - 6. Suppose 3*x - s*h = 114, h = -3*h - 20. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 979 - -8313. List the prime factors of b.\nAnswer: 2, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1053 + 1050 = 0. Let t(q) = -30*q**2 + 25*q - 25. Let j(a) = -5*a**2 + 4*a - 4. Let v(y) = -25*j(y) + 4*t(y). Give v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558718859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -98639?\nAnswer: 5\/98639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9468131536 less than 78.03?\nAnswer: 9468131614.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 != 352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/(-8))\/(9\/12). Let g(f) = w + 8*f - f**2 - 10 + 20. What is the remainder when 47 is divided by g(8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(2 + -2 + 1). Let c = t - 9. What is the units digit of ((-2)\/c)\/((-8)\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*d + 75*d - 2100. Does 31 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 213067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 - 98*t - 8. Let f(y) = -y**2 - y. Calculate -4*f(w) + u(w).\nAnswer: w**2 - 94*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367292 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 156. Let y = 7 + 4. Let q = z - y. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 66*o**2 - 241*o - 2368. What is u(-69)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 386024*q**6 + 12*q**3 - 156590*q**2 - 2*q - 3 wrt q?\nAnswer: 46322880*q**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*g**3 - 50 + 50 + (2*g**3 + g**3 - 2*g**3)*(-12 + 5 + 6) to the form b + z*g + m*g**2 + y*g**3 and give y.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -3*a + 3312 - 3303, 3*z - z - 2 = a + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - (-1 - (-17 - -3)). Which is smaller: r or -38\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(245))**2 + (sqrt(20)*-2)\/sqrt(4).\nAnswer: -2*sqrt(5) + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1265*o + 2150*o + 1378*o - 809*o - 2 + 7.\nAnswer: 3984*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 + 7*c - 5. Let z be y(-6). Let x(n) = -11*n**2 - 7*n - 7. Let m be x(-4). Is z equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -5*l + 1465, 23*c + 4*l - 290 = 22*c. What is the greatest common divisor of 168 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22\/9 - 47\/18. Let n be (2\/(-2))\/((-4)\/68). Suppose -2*g + 3*z + n = -0, -5*g = -4*z - 25. Which is the second smallest value? (a) l (b) g (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 334494*j - 12706440.\nAnswer: -3*(j - 111460)*(j - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.6 + -33.600018352. Round q to seven decimal places.\nAnswer: -0.0000184","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -15*o - 1\/10*o**3 + 0*o**4 + 0 + 0*o**2 + 3\/100*o**5. Determine y, given that b(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 1) + 8\/((-16)\/(-14)). Suppose w*a = 3342 - 444. List the prime factors of a.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1399039030 to the nearest 1000000.\nAnswer: -1399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/3379 - 118241\/40548. What is the common denominator of (-2 + 59)*(-5)\/(-18) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183311849 and 985.\nAnswer: 916559245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:57 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 11*g = -15*g + 17008, -4*g = -s + 4212. Calculate the highest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0. Is 1.1 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 + j**2 - 11*j - 7. Let o be z(7). Suppose -3*a + o - 228 = 0. What are the prime factors of a?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 1. Let l(i) = i. Determine -6*l(r) + 2*n(r).\nAnswer: 2*r**2 - 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000269 rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 1. Let u(t) = -25*t**2 - t. Let f(l) = -3*d(l) - u(l). Determine f(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 1\/6*g**4 + 0*g + 2*g**2 + 1\/6*g**3 + 0. Differentiate q(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, f: 2, d: 5}. What is prob of picking 1 f, 1 d, and 1 m?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1779 or -1780?\nAnswer: -1780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001033 (base 5) to base 4.\nAnswer: 103012330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82080767.\nAnswer: 23, 3568729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*h**3 + 18*h**3 + 2*h**3)*(430*h**2 + 337*h**2 - 115*h**2 - 108*h**2).\nAnswer: -15776*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**2 + f - 3. Let k be u(3). Suppose -y + 52 = 3*c + c, -5*c - 4*y + k = 0. Suppose -36 = 5*q - c*q. Solve -q*p - 5 = -1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = -32*a + 16*a. Calculate the greatest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -11, 4, 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n**2 - 34467*n - 40236 = 0.\nAnswer: -7\/6, 1916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 4*g**4 + 4*g**4 + (-2*g**3 + 2*g**3 - 2*g**3)*(5 + 4*g - 5).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5*z + 307*w**4*z**2 + w**2 - w*z**2 + 129*w + z**2 wrt w.\nAnswer: 40*w**3*z + 3684*w**2*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 145, 311, 519, 757, 1013, 1275?\n\"Answer: -2*t**3 + 39*t**2 + 9*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23244120 + -3101?\nAnswer: -23302221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9247969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lycalaf. Give prob of picking 1 y and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Suppose -18 = -c*t + 6. What is the remainder when 29 is divided by 6\/24 - (-78)\/t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/10 - k**4\/3 + k**3\/6 + k**2 + 2*k. Let l be w(2). Solve 0 = 3*u - l - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 38. Suppose 4*t - 712 = s, t + 2*t = -j*s + 553. What are the prime factors of t?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2829*t**2 + 16956*t - 92. Calculate s(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 1, n: 3, j: 4, s: 1}. Give prob of sequence jrvs.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Let m(l) = -v*l + 4*l + 9 + 22. What is the tens digit of m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 + 1045 = 21*g. Calculate the remainder when 185 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -0.3, -2\/5, 31?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -156934224 divided by -17437136?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6182767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -6. Let q = 4.39836 + -0.39836. Let b = -13 - -8. Sort r, b, 1\/8, q.\nAnswer: b, 1\/8, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 9:56 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -394 - -402. Let u(z) = 4*z**3 - 7*z**2 - 22*z + 20. What are the prime factors of u(l)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2129.\nAnswer: 1\/2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23903792.\nAnswer: 2, 11, 12347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098898 is divided by 631.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 84. Let f = o + 44. Find the third derivative of 11*p**2 - 18*p - 8*p**f + 18*p - 7*p**4 wrt p.\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 9*t - 182. Calculate the remainder when 643 is divided by v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10663000 to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*q**2 + (0*q + 2*q - q)*(-2*q + 0 + 0))*(205319 - 205319 - 19*q**3).\nAnswer: 95*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**7\/4200 + t**6\/600 + t**5\/200 + t**4\/6 - 7*t**3 - 28*t. Let f(c) be the third derivative of u(c). What is z in f(z) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17 = -7*n + 5*n, -2*n + y + 15 = 0. Suppose 2*m - 13 = -5*i, 9 = 2*m - 0*m + i. Is ((-7724)\/n)\/((-2)\/m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 2903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*h**2 + 21*h + 24*h**2 + 20*h - 66*h**2 - 2 - 39*h in the form g*h + j + q*h**2 and give q.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1804, 4815, 7600, 10045, 12036, 13459, 14200?\nAnswer: 14145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 4\/3*z + 4\/9*z**3 - 5\/3*z**2 + 1. Factor v(w).\nAnswer: 2*(w - 2)*(2*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8626889*a - 8627026*a - 10001 = 0 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -10\/11 (b) -1\/3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 23. Solve -4*u + s + l = 0, -2*s + 0*s = u + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 + 6 + r**2 + 5*r + 7*r**2 + r**3. Let y = 259 + -262. Let v be a(y). Solve v = 2*l - 2 - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101 and 107363.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -4*o + 516. Suppose -o = -6*d + 82. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/33 and (4 + 109\/(-27))*-7.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l. Let v(b) = -549*b. Give v(r(s)).\nAnswer: -1647*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*n**2 + 7*n**2 + 11*n - 13*n)*(9*n + 4*n**2 - 9*n) in the form k*n**2 + j*n + m + g*n**4 + d*n**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 7 = 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17329907*n**4 - n**3 + 2*n**2 + 48808649*n?\nAnswer: 207958884*n**2 - 6*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2\/7*h**2 - 330\/7*h + 332\/7 = 0.\nAnswer: -166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.8800031744 + 36.88. What is b rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 36 - 65 + 703*c + 29 - 700*c. Let t(o) = -o**2 - 388. What is t(w(y))?\nAnswer: -9*y**2 - 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24715485 and 3035235.\nAnswer: 173008395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 445 - 121*f - 445 - 154*f - 212*f.\nAnswer: -487*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 327018 times 1249\nAnswer: 408445482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 1271*s**4\/3 - 221152*s**3\/3 + 969657*s**2 - 9960062*s\/3 - 15680\/3 = 0. Calculate s.\nAnswer: -2\/1271, 7, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9126175?\nAnswer: 5, 19, 19213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1040)\/(-845))\/(1 - 148\/146). Which is smaller: f or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*s - s - s - 3*s + 4*s - 2*s + (-3*s + 6*s - 2*s)*(4 + 3 - 5))*(15 + 2 - 6 + (-1 + 2 + 1)*(3 + 0 - 2) + 3 + 1 - 1) to r + c*s and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1\/2, 1.5, -0.4, -40\/7, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(3*2))\/(9\/(-135))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 205284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6304*d - 11797*d + 1616894 = 11708*d for d.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -423 - -421. Let f be (-1*348\/7)\/(g\/7). Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2534 is divided by 836?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 27463 = 16*r + 2*u, 0 = -3*u - 12. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15)*(-5)\/(-2746). Let l = m - -101599\/4119. What is the common denominator of -21\/2 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 h when four letters picked without replacement from hgmhaghmkmmgvm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 7 = -6*q + 5*q, 8 = -2*v. Put -6, 1, q in ascending order.\nAnswer: -6, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 15. List the prime factors of h\/(-1 + 0\/(-3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (60 - (2 + 25)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14888 + -3167. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 2, 0, 2\/43?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*(-2136)\/40*4. Calculate the common denominator of 3 + t\/72 - (-2)\/(-16) and 67*(1 - (-26)\/(-27)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -26*u. Let c(d) = -4*d**2 + 7*d + 7. Let m(w) = -w**2 + 2*w + 2. Let p(l) = 2*c(l) - 7*m(l). Give p(f(y)).\nAnswer: -676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/1)\/(1 + -3). Let a = 5 - z. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 538546 and 0.19.\nAnswer: 102323.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29243670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - u**3 + (u - 2*u - u)*(0*u**2 - u**2 + 2*u**2) - 3*u**3 + 2*u**3 + 0*u**3 - 88*u**3 + 135*u**3 - 104*u**3)*(-u + 3*u - 4*u).\nAnswer: 122*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d + 26 = -4*c, -d = -5*c - 4. Suppose 0*g + d = g. Calculate the greatest common divisor of 57 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z. Let n be h(-1). Let b be 39\/52*n*2. What is the second derivative of 14*u + b*u**3 - 10*u + 0*u wrt u?\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 19 = -3*t - 0*n, -n = -2*t + 8. Suppose 172 + 68 = -5*s. Let h = -45 - s. Solve -4*y - 8 = -4*c, -h*c = t*y - 15 + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + 10212211?\nAnswer: 10212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.05 and -302.\nAnswer: 317.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -161*f**3 - 42*f**2 - 42*f + 42. Let m(j) = 19*j**3 + 5*j**2 + 5*j - 5. Give -42*m(u) - 5*y(u).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 - 4997*z + 19987\/4.\nAnswer: (z - 19987)*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*x = -12, -7*q + 11 = -2*q + 3*x. What is the least common multiple of ((-5)\/(-15))\/(3\/45) and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**2 - d + 1. Suppose m = 1 + 1. Let x(z) = -3*z**2 + 3*z**2 + z**2 + 0*z**2. Give m*x(f) - w(f).\nAnswer: -f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 875566264.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-1)\/(6\/(-10)) - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 13*m. Determine d, given that m*d**2 + 0 - 2\/5*d**3 + 2\/5*d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120112011 (base 3) in base 6?\nAnswer: 355304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3)*15\/2. Let y = -195\/4 - -1217\/28. Let d = y - -5. Which is the nearest to d? (a) -1 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 19*s**2 + 5*s - 93. Let l be j(19). Let x = 0 - -2. Suppose -1 = -3*c + 26. Solve 16 = 2*n - 4*k, l*n + x*k + c = -5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000918 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-16)*(-6)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqn when three letters picked without replacement from qopxn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6168 - 6165. Let i(l) = -l + 2. Calculate the remainder when i(-9) is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 plus -197428.6?\nAnswer: -197828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 5, m: 2, j: 2, a: 1, l: 2, f: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 2*i - 16, -24 = k + 3*k - 4*i. Let z = 5 + -20. Let h = k - z. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -9. Suppose l = -4*a + 6*a. Solve -5 - 5 = a*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 - 3*l + 6. Let c be g(4). Let x(f) = 595 - 4*f - f**2 + 595 - 1191. Calculate x(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-87)\/9)\/(-7 + 502\/72). Let h = l - 344. Let w(p) = -5*p + 1 + 2*p**2 - 3 + 1. What is w(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 521899 - 352640. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*i + 48 = -332 - 33 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + n - 15. Let k be i(-4). Suppose 0 = -k*l + 9*l + 104. Calculate the remainder when 126 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.4, 0.1, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (-13 - 0 - -15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/2, -1.42, 11?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98509 is divided by 3024?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 2. Let r be o(3). Let b = 0 - r. Suppose 0 = z - b + 2. Solve -z*y - 3*y = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + 3 - sqrt(35)\/(2*sqrt(5)) - (2*(sqrt(448) + 1))**2.\nAnswer: -1793 - 127*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 - 67 - (-9 - (6 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4982 or -137?\nAnswer: -4982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 + 2*x**2)*(-4 + 0 + 3 + 2 + 2 - 5 + (0 + 2 - 3)*(0 - 1 - 2)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 14. Suppose -y - 1 = -5. Let v be 10\/y*(-36)\/(-15). What is the least common multiple of a(v) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 499381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgrhgrgghggrh. Give prob of picking 1 g and 1 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 510 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - -5.91. Let o = z - 6.3. Let f be (-20)\/(-8)*(318\/(-165) + 2). Put f, o, -5\/6 in descending order.\nAnswer: f, o, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 29. Suppose -12*h + 14 = -l*h. Let s = -1 - -1.03. What is the second smallest value in 2\/11, s, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.424 - -0.22415. Let r = -0.2 - m. Round r to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906*y**3 - 2*y + 5*y + 2902*y**3 - 3*y.\nAnswer: 3808*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 290980820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 89054*c**2 - 1 - 89056*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w - 275. Let k be v(25). Suppose -p + 16 = -2*l, 5*l = -3*p - k*l + 70. Which is the smallest value? (a) p (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-12) - 102\/(-24). Suppose -2*s = q*t - 0*s - 314, t + 4*s - 82 = 0. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**2 + 68*o - 2704*o**6 + 6427*o**6 - 3114*o**6 wrt o.\nAnswer: 73080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27571 by -349.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 41013, -4, -1 in decreasing order.\nAnswer: 41013, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5102 - -5734. Calculate the remainder when u is divided by 65.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let c(h) = -9370401*h. Determine j(c(p)).\nAnswer: -9370401*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 3*t**2 + 3. Let d(o) = -o**3 + o**2 + 1. Give d(p) + z(p).\nAnswer: p**3 - 2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -155 - -155. Let a = -32 - -7. Let k be (-10)\/2*10\/a. Solve 4*v + 4 = -j*v, 5*v + 1 = k*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - 123221131233?\nAnswer: -123221132012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2216144068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45452975, -90905950, -136358925?\n\"Answer: -45452975*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12409921, -24819829, -37229737, -49639645, -62049553, -74459461?\nAnswer: -86869369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -16*l**3\/15 + 34*l**2\/5 - 16*l\/5 + 11. What is q in x(q) = 0?\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7449.000010563 + -7449. What is h rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 1.9, 10 in descending order.\nAnswer: 10, 7, 2, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 291935660 to the power of 1\/2, to the nearest integer?\nAnswer: 17086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssscsgsgcsscibis. What is prob of picking 1 b and 2 g?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 638*b**3 - 1907*b**2 - 1270*b = 0. What is b?\nAnswer: -635, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 128, 15*u = 35*t - 36*t + 5 - 33 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0*n + 1\/315*n**7 + 0*n**4 + 2\/45*n**5 - 1\/36*n**6 + 0*n**3 + 19*n**2 + 0. Find k, given that q(k) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 5532*w**2 - 11052*w - 5524.\nAnswer: -4*(w + 1)**2*(w + 1381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/(4\/40). Suppose 3 = t + l*u, -2 = 5*u + 8. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/14)\/5)\/(891\/594)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = -7*o. Let t be 1 + -1*(o + -3). Let x = -48 + 143\/3. Is t less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18948108 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Let f be (-20)\/8 + a\/(-4). Let i(q) = 2*q + 4. Let l be i(f). Are -1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 43*i + 21. Let m(x) = 80*x**2. Give f(m(c)).\nAnswer: 3440*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 11. Suppose 9*o + 4*a - 20 = 4*o, y*o - 20 = -3*a. Calculate the remainder when -2 - 102\/o*-2 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 1)*(26*m - 63 + 115 - 59)*(11 + 6*m**2 - 11) to v*m + t + o*m**2 + p*m**3 and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 0*u)*(2*u - 3*u - u) - 1757*u**2 + 1312*u**2 - 2553*u**2.\nAnswer: -2994*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 9. Let l(m) = 2*m - 4. What is the tens digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - i + 4*i + (12 - 12 - 4*i)*(-3 + 4 - 3).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/599 and 173\/53910.\nAnswer: 53910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.14, 0.5, 0, -3, 2\/7, -4, 874?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130037, -130040, -130043?\nAnswer: -130046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13184 is divided by 1883.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4462.194 - -4125.62. Round d to the nearest 10.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/79620 and 31\/3.\nAnswer: 79620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 176 - 599 - 145 to the form y*s + x and give x.\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1771, -1776, -1791, -1822, -1875, -1956, -2071?\n\"Answer: -a**3 + a**2 - a - 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v + 10. Calculate the remainder when y(0) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o - 18. Let d be (-5 + 1)*((-21)\/o - 3). Let x be d\/(-6)*-1657 + (-4)\/6. What is x rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -1.8. Let f = s - -1.2. Let h = f + 0. Which is greater: h or 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14986582.\nAnswer: 2, 13, 101, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249892967 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7229154 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 167*r**6\/15 + 5*r**3\/6 + 9*r**2\/2 + 38*r. Find the second derivative of k(a) wrt a.\nAnswer: 4008*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 + 4*n + 3. Suppose -455 + 379 = 19*y. Calculate s(y).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-11)*(-275)\/50. What are the prime factors of (-21)\/(6\/q) + 169?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/418 (b) -3\/10 (c) 4 (d) 0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + o)*(o - 2*o + 0*o)*(-4 + 4 + 6*o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.7 - 22. Round g to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805864264 to the power of 1\/2, to the nearest integer?\nAnswer: 52970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 75*h**3 - 35*h**2 - 62*h - 134. Let f be m(-27). Round f to the nearest 10000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:13 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7688, 61049, 205900, 487991, 953072?\n\"Answer: 7625*x**3 - 5*x**2 + x + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - 3*b**3 + 5*b**3 + (3557*b**2 - 2029*b**2 - 1913*b**2)*(2*b + 10*b - 3*b).\nAnswer: -3464*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242\/(-44)*(-2)\/22.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 2066980*f**3 + 3*f - 2067004*f**3 + 4*f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-50))\/(7\/2*405\/525)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3884 * 14.2\nAnswer: 55152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -6648401.\nAnswer: 5\/6648401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (74 - (19 + (-31 - (-12 + 22)))) + 0?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1253*y = 50*y + 129*y - 5728 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 2*c + 12, 2*f - 3*c = 10. Suppose -m + 47 = 2*u, -12 = f*u + 5*m - 137. Let s = u - 14. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 7*f + 0*f)*(-9 + 5 - 3)*(-8 + 5*f**4 + 8).\nAnswer: -140*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 44 + 22. Suppose -2*a = -c, -4*c - a + q = -3. Solve c = -n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o - 4 + 2 - 2*o**2 + 0. Give r(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12 from 25.\nAnswer: 25.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r*r**(-12))\/r))\/r)**4 assuming r is positive.\nAnswer: r**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -551137 divided by 383?\nAnswer: -1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-6)*(-6)\/5. Suppose 0 = -g*p - 2*s + 104, 2*p + 2*s = -3*p + 132. Suppose -p + 1 = -3*b. Calculate the least common multiple of b and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-5*sqrt(54)) + ((2*sqrt(392))\/sqrt(7))\/sqrt(8))**2.\nAnswer: 5887\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 943269850 to the power of 1\/2, to the nearest integer?\nAnswer: 30713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 10 = -6*l. Is (8*l\/(-4) - 3) + 634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**4 - 2441060*a**3 - 297941137230*a**2 - 595874951300*a - 297936255125 = 0.\nAnswer: -244105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*3\/(-6) + -1. Let s be 1\/(-36) - d\/18. Let m = -2.1 - -2. Are s and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -20736?\nAnswer: 20732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -190\/13?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-4 + (-771)\/(-9)). Let l = -83 - p. Let x = -0.3 - -0.8. What is the biggest value in 5, x, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.94 and -1.\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15121*u - 1 - 6*u**2 + 15122*u - 4*u**2)*(196*u - 198*u + 6 - 45).\nAnswer: 20*u**3 + 388*u**2 - 37*u + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -15092 times -0.036\nAnswer: 543.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - m - 27 + 51, 0 = -5*m. Suppose -f*x = 25365 - 125253. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**(-9) assuming o is positive.\nAnswer: o**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7 - 1 = 0. Let m(v) = 2*v**2 + 6*v - 4. Let r be m(-5). Suppose 4*j + r = 8*j. Solve -3*k = -j*k + c for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + 5*1*(sqrt(275) + (sqrt(275) - 1*sqrt(275))) + 5 + -1)**2*2.\nAnswer: 700*sqrt(11) + 13848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252 * -1580.\nAnswer: 398160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1742 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2604 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1795752l in millilitres?\nAnswer: 179.5752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*d = -2*r + 361, 2*d = -5*r + 550. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5393828 divided by -11\nAnswer: -490348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 2*d**3 - 3*d**3 + d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3 - a**3 + 5*a**3 + a**2 + 1 - 5*a**3. What is the remainder when 11 is divided by n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/7 - 99*i**2\/7 - 5232*i\/7 - 10044\/7.\nAnswer: 3*(i - 62)*(i + 2)*(i + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -421 + -5?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100201 + -11?\nAnswer: -2100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 12. Let m(j) = -2*j + z*j + 3*j - 4*j - 6. What is m(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 5*d**2 - 5 - 161*d + 161*d in the form u*d**2 + o + t*d and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/3)\/w))\/((w**7*w)\/w*w*w*w)*w*w**(-1\/10)*w**(-7\/2) assuming w is positive.\nAnswer: w**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11200?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -2\/31, 5\/2, 3\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((6\/1)\/(54\/(-33408)))\/(6\/(-57))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/6)\/(556\/111194182282). Let u = g - -766626582. Let p = -1\/1668 - u. What is the common denominator of 61\/9 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-4)\/(-108) + (-812)\/783)*6*1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**3 + 0 - 15*f + 0*f**2 + 1\/4*f**4. Let z(y) = -4*y**2. Calculate w(z(n)).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/60 + 2*t**2 - 19*t - 18. Let b(u) = 298*u - 7. Calculate z(b(f)).\nAnswer: -88804*f**2 + 4172*f - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((32 - 9) + -7 + 9)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1336 + -1274. Let t = 4728244426 - 4728244363.99999829. Let n = t - y. Round n to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -132 + (-4 - -1 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -81.1 equal to 46\/523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44886 to the power of 1\/2, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6619562 to the power of 1\/2, to the nearest integer?\nAnswer: 2573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**3\/3 + 3*q**2\/2 + 2. Let n(l) = -31*l**2 + 84*l**2 - 51*l**2. Calculate n(d(z)).\nAnswer: 8*z**4 + 24*z**3 + 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 7. Let q be v(5). Let s(l) = -2*l**3 - 3*l**2 - 4*l - 4. Calculate the least common multiple of s(q) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.51897 tonnes to micrograms.\nAnswer: 47518970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l = -100. What is the remainder when 94 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509577 is divided by 193?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*y + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lddl when four letters picked without replacement from llllldlldllll.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 5*g**3 + 6*g + 0 + 13\/2*g**2. Differentiate z(p) wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 17*n - 13. What is the hundreds digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3 (b) -6\/13 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 8*w**2 + 4*w - 1. What is the remainder when k(5) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p**3*q**3 - p**3*q**2 - 2*p**3*q*r - 55*p**2*q**2 - 2*q**3*r - 3*r wrt p.\nAnswer: -42*q**3 - 6*q**2 - 12*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + -1*(1 + sqrt(12)))*5.\nAnswer: -10*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 2. Let y(v) = -3*v - 17. Let w(c) = 6*c + 31. Let g(p) = -4*w(p) - 7*y(p). Give -5*d(b) + 2*g(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0377958 litres in millilitres?\nAnswer: 37.7958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 626468 and 23484.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + v + 5. Let u be g(-2). Solve u*j - 22 - 6 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 123, -3104, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12320 (base 4) to base 16\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385959518?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-15) + (-348)\/(-15) + -2. Suppose -27*k + 60 = -s. Solve 0 = -2*i + k*v + 2 - 1, -4*i - 2*v = -26 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -7603 - 4199. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 + 2392*n**2\/9 - 2390*n\/9.\nAnswer: -2*n*(n - 1195)*(n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a microgram in nanograms?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/9)*m\/(m*m**(-2)) assuming m is positive.\nAnswer: m**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1583267 divided by 4\nAnswer: 1583267\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 30*i**4 - 5*i**3 + 12*i + 8. Let u(v) = 30*v**4 - 4*v**3 + 12*v + 6. Let z(t) = 4*o(t) - 5*u(t). Find the second derivative of z(f) wrt f.\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246568875 divided by -1435\nAnswer: 171825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t + 1241090 + 1181087 = 0. Suppose -31*y = -48*y + t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 12. Suppose 2*j + 3*j = -45. Let r be s(j). What are the prime factors of (-1)\/((r\/10)\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*r - 11*r**2 + 6 + 54*r + 164*r to i*r**2 + v + m*r and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/22 - 90\/(-11). Suppose -2*x = 4*c - 5306, h*c - 13*c - 5*x = -6630. List the prime factors of c.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -73*i - 1297. Determine l(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3924648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150\/17 - 351\/34. Let l = 65\/462 + 2\/77. Which is the biggest value? (a) k (b) l (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:49 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/(c\/(c*c*c*c*c**(-12)))*c))*c*c**(1\/18))**(2\/29) assuming c is positive.\nAnswer: c**(-89\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/8 and (-308)\/(-720) - 2\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 579767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109 or -919771?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -87, -182, -315, -486, -695, -942?\nAnswer: -1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/637*(-39)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(3 - 3 - 2)*(-3*m - 6*m + m + (-3 - 1 - 2)*(m - 2*m - m)).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 205985?\nAnswer: 411970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*g + 22 = 0, 0*g = -2*r - 3*g. Suppose -2*b = r - 50. What is the remainder when 86 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**15\/((d**1*d)\/d**(2\/9))*(((d*d**(-2\/3)*d)\/d*d)\/((d\/d**(-2\/13)*d)\/d))**48 assuming d is positive.\nAnswer: d**(-955\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2160.2\nAnswer: -2155.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1827 and 4245339.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a milligram in micrograms?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/4)\/(1\/28). Suppose 22547 = -s*q + 57*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m**2 + 5*m - 8. Let s(c) = -5*c**2 - 2*c + 3. Suppose 19*z + 66 = 30*z. Calculate z*p(n) + 17*s(n).\nAnswer: -n**2 - 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 401 = 2*s - 1203, 3*l - 406 = -s. Calculate the highest common divisor of s and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 31*y - 46. Let h be o(30). Let r be (4\/6*9)\/1. Let f be 2*r\/h*2\/(-3). Which is the second biggest value? (a) 2 (b) 4 (c) f (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*p**2 + 1)*(-4*p**2 - p**2 - 9*p**2) + 163*p**4 + 2447*p**4 + 72*p**4 in the form o*p**4 + c*p + y*p**3 + l*p**2 + k and give o.\nAnswer: 2710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 4*o**2 + 6. What are the prime factors of c(-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*k, -9*k + 4*k + 3*o = -25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:16 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 + 4*g - 3. Let l be i(-4). Suppose 0 = 5*o - 15, 3*v - 3*o - o = -9. Let n = l - v. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -120 - 1600*x**3 + 2*x + 79 - x + 304 + 313 wrt x?\nAnswer: -9600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 240197 and 1.6.\nAnswer: 240198.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away -1353?\nAnswer: 1353.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.44664 or -11533?\nAnswer: -11533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 96\/5*z**2 - 128\/5*z + 0 + 6*z**3 + 2\/5*z**4.\nAnswer: 2*z*(z - 1)*(z + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxxpppklcxk. Give prob of picking 1 k and 1 x.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59880 = -27*l + 132387. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.6038213 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 5224*a**2 + 57686*a - 52460.\nAnswer: -2*(a - 10)*(a - 1)*(a + 2623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 874, -224, -9 in decreasing order.\nAnswer: 874, 10, -9, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 0 + 37*z**2)*(-6*z + 32*z - 13*z).\nAnswer: 481*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56.5 + 61. Let u = 0.07 - -3.93. Let v = x - u. Sort v, 3, 0.2.\nAnswer: 0.2, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4 + 3 + 0*w**3 + w - 29\/2*w**2. Find the second derivative of k(v) wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 12:59 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 164 = 7*j + 3*h, 0 = -3*j + 5*h + 78. Suppose b - p = 4*b - j, -b + 2*p = -15. Calculate the remainder when 32 is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 4. Let u(m) be the first derivative of m**2\/2 + 3*m - 43. Suppose -4*i - 37 = x - 0*x, -x - 29 = 3*i. Let a be u(i). Give d(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 479307685?\nAnswer: -479307685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09086145 and -0.1?\nAnswer: 0.19086145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.60491 rounded to 1 dp?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 107. Let z be -3 - 3\/(9\/3). List the prime factors of (z\/y)\/((-2)\/(-78)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(3\/(-9) + 1). List the prime factors of (-40)\/6*t\/((-16)\/12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/11 in -0.08, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 30*r**3 + 12*r**2 - 126*r + 81.\nAnswer: 3*(r - 1)**2*(r + 3)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -56, -86, -114?\n\"Answer: o**2 - 35*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, 2, 5, -13 in increasing order.\nAnswer: -13, 2, 5, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 14) to base 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0885006 to three dps.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 100*l.\nAnswer: 4*l*(l + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -764, -735, -706, -677, -648, -619?\n\"Answer: 29*h - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 6. Let q be v(0). Suppose -q = -k - l, k - 24 = -3*k + 4*l. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166388560.\nAnswer: 2, 5, 13, 139, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/40 + (6127\/88 - 10). Solve -142*g = -112*g + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 5)*(-5)\/2. Suppose 2*j + 15 = f. Let p(h) = h**2 + 3*h - 3. What is the units digit of p(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*u + 54*u**2 - 117*u to n*u + f*u**2 + g and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.5 - -15.7. Which is the third biggest value? (a) 5 (b) k (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x + 17. Let h(k) = 11*k - 26. Let b(m) = 5*h(m) + 8*j(m). Let u be b(5). Let y = 629 + -4391\/7. Is u greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 15. Let y(n) = 3*n**2 - 8*n + 1. Let p(b) = -4*b**2 + 9*b. Let f(g) = -4*p(g) - 5*y(g). Let o be f(c). Let t(m) = m + 7. What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326250 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 2*c - 1. Let k(q) = 3*q**2 + 2*q - 1. What is 4*f(r) - 3*k(r)?\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/17*(-6)\/24?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 = -5*d. Let j = 6 + -2. Solve 5 = j*i + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 11. Let z(a) = -8*a. What is the least common multiple of t and z(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-1 + sqrt(539) + -4)**2 + (sqrt(539)*-2)**2 + -5 + (0 + 2 + sqrt(539) - (sqrt(539) + -3*sqrt(539)*2)).\nAnswer: 42*sqrt(11) + 2169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 5*m = 60, -21712*w + 21715*w - 12*m = 87 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlddlllldl. What is prob of sequence dd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 563528384 divided by 8805131\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136 - 50*v**2 - 137 - 7*v**3 + 53*v**2 + (-v**3 - 5*v**3 + 4*v**3)*(-1 - 1 - 1).\nAnswer: -v**3 + 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 - 20)) + -77 + 51 + 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 233917843 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - n**2)*(-2343*n - 3537*n + 1461*n).\nAnswer: 4419*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - 22. Let p be 11\/9 + 8\/u. Let d = -1 + p. Solve 0 = 3*i + 5*r - 4, 0*i - i - r + 2 = d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -355\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 19*r**2 + 5*r + 4. Let n(t) = 20*t**2 + 6*t + 5. Suppose -153*o + 218 = -547. Calculate o*n(j) - 6*l(j).\nAnswer: -14*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19000 by -40.\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2 - 1. Let u(v) = v**3 + 10*v**2 + v + 11. Let g be u(-10). Let n be w(g). Let i = 7 + n. Solve -11 = -r - 3*s, -2*r - s + i = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**2 + 598*d + 23890.\nAnswer: -16*d + 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-2)*(p\/(p**4\/p))\/p**(3\/7)*(p**2)**(-3)\/((p\/(p*p*p*p\/(p*p*p**(-7))))\/p**(-8)) assuming p is positive.\nAnswer: p**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 109101 - 0.0154\nAnswer: 109100.9846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5310000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a**2 - 11*a - 122. Let n(f) = 6*f**2 + 13*f + 122. Calculate -7*l(u) - 6*n(u).\nAnswer: 6*u**2 - u + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72398.12 millennia?\nAnswer: 868777440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.973 + 17. Let m = -5.373 - z. What is m rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1035 and -131\/360.\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58452205 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 10:38 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 27 = -4*o, -o + 5 = 4*w + 4*o. Let h = 5 + -4.8. Let i be 4\/14*196\/(-84) - -1. Sort -0.2, w, h, i in decreasing order.\nAnswer: w, i, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15044000 rounded to the nearest 100000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 9*o + 24. List the prime factors of p(-11).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let n be 7\/4 + 23\/92. Let v(g) = -25*g**2 + 12*g**2 + 2*g**n. Determine v(p(q)).\nAnswer: -44*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13196 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -882 + 2040. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2599666, -5199385, -7799104, -10398823, -12998542?\nAnswer: -15598261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 30*w + 2414. Calculate l(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 85 = -5*x, 364 = -q - 3*q - 4*x. Let g be q\/(-20) + 2\/4. Suppose 3*c + 3*z = 43 - 7, -g*c + 60 = -2*z. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 - 5*h**2 - 3*h + 1. Suppose 8*k - 6 = -14. Let a be t(k). Solve -a - 8 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose -f*n - 3*y = 0, 0*y - 25 = -3*n + 2*y. What is the remainder when 14 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53479158 + 53485503 = 135*f for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddggxdgdgzxzxz. What is prob of picking 2 g and 2 z?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 33307910.\nAnswer: 99923730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5621112, -11242232, -16863354, -22484478, -28105604?\n\"Answer: -n**2 - 5621117*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25444 - -13?\nAnswer: 25501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 1:56 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -18. Suppose -4*i = -22 - y. Calculate the lowest common multiple of 12 and 106\/i + (-2)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1592*x + 493. Let m(a) = 531*a - 141. Give 7*m(p) + 2*w(p).\nAnswer: 533*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 862\/7 - 860\/7. Let 0 - m*x - 2\/7*x**2 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*a - 72 = 0, -3*a = 5*y - 49 - 79. Suppose 3*x - 11 - y = 0. Solve x = -2*o + 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2470, -4892, -7216, -9394, -11378, -13120?\nAnswer: -14572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75421217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146.805 - 0.195. Let o = r - -104. Let l = 0.19 + -1.19. Is l < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5252 - 3939. Calculate the greatest common divisor of 26 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m**3 - 8*m**2 - 4*m - 7. Let s(a) = -14*a**3 - 23*a**2 - 11*a - 20. Let j(k) = 11*i(k) - 4*s(k). Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/108*12*-9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*m - m - 3*m - m - m + 3*m + m - m + 2*m - 2*m - 2*m + 0*m + (0 - 4 + 3)*(0*m + m + m) + m + 0 + 0 + m - 9*m + m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -4*v - 108. Let j(x) be the second derivative of 3*x**4\/4 + 2*x**3\/3 + 7*x**2\/2 + 9*x. List the prime factors of j(v).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.80967785+-0.5\nAnswer: -1.30967785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/23 + -2 + 16\/184?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 5*z + 3*d, 3*z - 44 = 3*d + 145. What is the least common multiple of z and 972?\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 3 - 1)*(0 + 2 - 3) + 77 + 11 + 14)*(-3*v + 0*v + 2*v) to the form k + r*v and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 21650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111000010001101001 (base 2) in base 16?\nAnswer: b8469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.09 (b) -0.433 (c) -0.3 (d) -3 (e) -1\/3 (f) -6\/11 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cctn when four letters picked without replacement from ccccnctccjcjccjgjn.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let w be u\/(-6)*2*-6. Let l = w + 4. Solve 0 = -v - 3*v - l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeneenhneeenee. Give prob of sequence ne.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2163 and 15141?\nAnswer: 15141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28124*q + 7*l = 28119*q + 1, 0 = -4*q + 4*l - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*p + 1 + 3*p)*(2 - 2 + 2*p).\nAnswer: 2*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/30 - 46*r**4\/3 - 185*r**3\/3 + 24*r**2 + 3*r. Factor y(m).\nAnswer: 2*(m - 185)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 9 - 1)*(-4 + 0 + 3)*((-1 + 6 - 4)*(-3 + 3 - 2*s) - 85*s + 26*s + 35*s) to j*s + v and give j.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/(((q**13*q)\/q*q)\/q*q*q))*q)\/q**13*q**(-1\/21)\/q**13 assuming q is positive.\nAnswer: q**(-253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.77 take away 1?\nAnswer: 19.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -11 - (1 - 1) - 5 - -18\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/24245 and 27\/20515?\nAnswer: 266695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*84\/16*486\/189.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**3 - j**3 - 2*j**3)*(3 - 1 + 0) + (j**2 + 0*j + 0*j)*(-j + 3*j - 5*j) in the form z*j**3 + s*j + g + r*j**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0074775186 to four dps.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 5*s**2 - 4. Let f = -108 - -103. Give l(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 181. Give b(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 375 + 1440 = 5*a, a = 5*d - 1023. Calculate the remainder when 402 is divided by d.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/16788778 and 121\/752860.\nAnswer: 167887780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3223002 - 20?\nAnswer: -3223022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4523\/4)\/((-8)\/(-32)). Round r to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -3. Let c = -2.197 - -1.997. Sort x, 1.7, c in decreasing order.\nAnswer: 1.7, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 23051314241?\nAnswer: -23051314244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*q + 86 = 0, 3994 = 13*b + 4*q + 4064 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.06, 4, -0.034, -6\/11?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*4\/(-50))\/((-9)\/(-45)). Let q = 0.61 + -3.51. Let h = q + 3.5. What is the third smallest value in h, -0.5, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/120 + 3*f**5\/20 + 3*f**4\/4 + f**3\/2 - 13*f**2 + 3*f. Find the second derivative of g(v) wrt v.\nAnswer: -6*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13\/2? (a) 1.9 (b) 3 (c) 1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 112 = -4*y, 1256*c - 1258*c + 4*y + 100 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10343 = 418*l - 3529 - 1594 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -90 (b) -1 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968, -982, -1004, -1034?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688339973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 1 + 11, 5*f + 34 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*b*i**2*j - 2*b*i**2*m**2 + 2*b*i - 2*b*j*m**2 - 3*i**2*j*m - 36*i*j*m**2 - 5*i*m - 2*j*m**2 wrt i.\nAnswer: -56*b*j - 4*b*m**2 - 6*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by -6.\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s + 5 = 0, -3*s = 5*h - 60. Let i be (-22)\/(-3) - 3\/h. Solve 0 = -t - 2 + i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 36 = 39*g. Let d be 68\/36 - 10\/g. Let l = -2 - -2.1. Which is the closest to l? (a) 4 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9099.521 + 9099. Which is the closest to -1\/3? (a) -0.3 (b) -2 (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.163 in -0.4, 0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -33, 81849, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11021210111002 - 21?\nAnswer: -11021210111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 30 = -10*d + 5*d, 2*h + 6 = -4*d. Let j(v) = v**3 + 4*v**2 - 9*v - 25. Give j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(24\/(-38808)*33)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 13*p + 30. Determine z(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*d**2 + 198*d**2 - 63*d**2)*(-39*d**2 + d**3 + 20*d**2 + 36*d**2 - 2) + (-2*d**3 - d**2 + d**2)*(0*d**2 + 3*d**2 + 0*d**2).\nAnswer: 92*d**5 + 1666*d**4 - 196*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = w - 63, -31*f + 34*f - 126 = -2*w. What is the lowest common multiple of 2781 and w?\nAnswer: 19467","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0.03526521?\nAnswer: -10.03526521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44393 - -77751. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0.6516?\nAnswer: -3.3484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1428 by 9361.\nAnswer: 1428\/9361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - (sqrt(160) - sqrt(160)*-1))\/sqrt(8) - sqrt(20))\/(sqrt(360)*1 + sqrt(360) + sqrt(360)) + 5.\nAnswer: -sqrt(2)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7785357?\nAnswer: 1\/7785357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*((-1 + -3 + sqrt(14)\/(sqrt(7) + (sqrt(7) - sqrt(700)*-1)))*-2)**2.\nAnswer: -16*sqrt(2) + 1162\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 43.6. Let i = o - 16. Suppose -4*h + 4 + 0 = 0. What is the biggest value in i, h, -3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12034 + 3.424.\nAnswer: 12037.424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**4\/3 + a**3\/2 + 3*a**2\/2 + 2*a. Is t(-2) 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 p when two letters picked without replacement from {b: 2, p: 8, d: 9}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 60?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*k**2*w - 34*k*l**3*w - k*l**3 + 83*l**3 - 3*l**2*w + 2*l**2 - 1 wrt k?\nAnswer: -44*k*w - 34*l**3*w - l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 31 + 39 = 0. Let g be (36\/(-14))\/(10\/m). What is the units digit of (-18)\/(-81) + (-14)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12939590153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 6. Let b(t) = -11*t - 11. Let n(f) = 3*b(f) - 5*l(f). Calculate the remainder when 40 is divided by n(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrw when three letters picked without replacement from rrwrwrwnrknnnpnnr?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 49530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 3. Let l = i - -10. Suppose -101 = -3*b - l. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 513 + -462. Suppose 182000 = -44*y + l*y. What is y rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13852110 - (3 + -3 + 1). Let a = u - 21603660. Let d = a + 12951551. What is d rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*m - 80. Let k be (-227)\/(-5) + 4\/m. Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 10. Let c(i) = 31*i - 59. Let r be c(2). Let y be (6 - r)*1\/q. Solve -f + 2 + y = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(30\/12*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 6\/11, -1.2, -2, -1, 48.7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351 = 268*b - 2669 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28331, -18193, -8055, 2083, 12221, 22359?\nAnswer: 32497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 2. Suppose 63 = -18*j + 21*j. Let s = 15 - j. Let a(i) = -i**3 - 6*i**2 - 2. Let v be a(s). Calculate w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 7*q + 86. Determine u(0).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10000001001?\nAnswer: 10000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 6*x**3\/7 - 22444866*x**2\/7 = 0.\nAnswer: 0, 3740811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/4)\/(-1)*(904800\/720)\/(-145).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -711, -1066, -1419, -1770?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -328*v + 3882. Calculate x(12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-35 - -9 - -29).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*g + 8 = 0, 65 = -2*j + 4*g + 61 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8296 = -255*x + 238*x. Calculate the greatest common factor of 854 and x.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21925 = -5*r, 2*b + 5*r = -3535 - 5200. Let u = b - -48143\/11. What is the common denominator of ((-29)\/(-899))\/(7\/119) and u?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 28 - 72. Let h(r) = 33*r + 646. Let x be h(-18). Let u = x + l. What is the greatest common factor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 + 25. Suppose -18 = 3*q - 5*x, -2*x + 7*x = -3*q + 12. Let s be (-1)\/q - (-1 - -2). What is the remainder when f(s) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**4 + 2 - 2)*(-5*f + 34*f - 184*f) - 5*f**5 + 4*f**5 + 3*f**5.\nAnswer: -153*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1282 divide 426540916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(204) + -4*sqrt(204)*1)\/((3*sqrt(132))\/sqrt(11)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 14095?\nAnswer: 14094.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-14))\/((-705)\/1645).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 40 + 28. Let m be 17 + -13 - (4 - 0). Solve m = n + q*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 - 72*j + 36. What are the prime factors of m(23)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44029 divided by -27?\nAnswer: 44029\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 26*i = 0. Let u(a) be the third derivative of a**4\/6 + 5*a**3\/6 - 3*a**2. Let l be u(i). Sort l, -7, 1\/2.\nAnswer: -7, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwqwjwqqwllqqltqtq. Give prob of sequence tlw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*u - 2. Let d be 156\/18 - 1\/u. Suppose -1 = 4*p - d. Solve 0 = -s + 5*t + 13, -p*s + 3 = -3*t - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 923415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 241129 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:25 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -15*f - 2 + 0*f**2 - 6*f**2 + 9 + 4*f**2. Let j be z(-7). Let s = j + 6. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.55869 kilograms to micrograms.\nAnswer: 75558690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ccb (base 13) in base 8?\nAnswer: -21122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/5 + 26*d**2\/5 - 8*d - 40 = 0 for d.\nAnswer: -2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*i**3 + 6*i**3 - 2*i**3)*((3 - 6 + 1)*(-3 + 3 + 4) - 2 + 0 + 5)*(7 + 4 - 4) as h*i**3 + x*i**2 + c*i + r and give h.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l + 80. Let d be c(-5). Let o(u) = -u - 1. Let p be o(-4). What is the derivative of 0 + p*y**4 + d*y**4 - 2 + 3*y**4 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 8*n + 6. Let o(t) = -2*t**2 + t - 4. Let q be o(3). Let z = -24 - q. What is the tens digit of u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1797 + 1801 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 5*g**2\/2 - 3*g - 3. Let c = 10 - 7. What is the remainder when 23 is divided by q(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20*v**2 + 11*v + 68. Let b be w(-9). Let s = b - 33349\/21. Let y = -1626 - -53602\/33. Calculate the common denominator of y and s.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 5*t**9\/504 - 11*t**5\/60 - 6*t**2. Find the third derivative of o(u) wrt u.\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*g + 16, 2*x = -g - 0 - 1. Let p be (-2)\/((-12)\/10) + x. What is the third biggest value in p, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 48.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 + 124163?\nAnswer: 124126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 5:51 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 245305 or 245399?\nAnswer: 245399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 30*i + 70 - 16*i.\nAnswer: -56*i + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4010664 by 84.\nAnswer: 47746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = -7311 + 7386 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13884)\/(-1508) - -46 - 55?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - c + 266, -l - l - 4*c = 102. Let v be 1 + -1 + -1 + 100. Let h = l + v. Calculate the remainder when h is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {c: 1, l: 3, a: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Solve 0*m = m - s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 1. Let v = 369.837 + -370. Let u = -0.063 - v. Which is the nearest to u? (a) x (b) 5 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 12*y - 21 = 0. Let r(f) = -1 - 13 + 6 + y + 6*f**2 + f. Let j(l) = -5*l**2 - l + 1. Calculate -5*j(m) - 4*r(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -21517, 5, -5, -3 in ascending order.\nAnswer: -21517, -5, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*k + 50445 - 790*k - 100893 + 50448.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*14432957\nAnswer: -43298871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*f + 4*f - 4*r, -5*r = 20. Let w = f - -6. Let u = -5 - -8. Calculate the remainder when u is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 301723.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 260.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from uzzzu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9893153571?\nAnswer: 3, 7, 59, 7984789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 14*z + 179. Calculate f(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 + 14 - 49*o**5 + 9*o + 93*o**5 wrt o.\nAnswer: 920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 103?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*305\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2126 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppb when three letters picked without replacement from bpbbbpbbpbb?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**5\/7 + 285608*z**4\/7 - 10195919950*z**3\/7 - 40790820200*z**2\/7 + 91763279712*z\/7 + 367094247552\/7 = 0?\nAnswer: -4, -3, 3, 71404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 19 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(275) + 2*(sqrt(275) + -1)) - ((sqrt(275) - -4*(sqrt(275)*2)**2) + -1 + sqrt(275)*-2).\nAnswer: -4411 + 95*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2121 + 5?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 3098788?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-18))\/(2\/(-6))*(-23)\/115. Solve 4\/5*j + 4\/5 + p*j**2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85359, -85366, -85377, -85392, -85411, -85434?\nAnswer: -85461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c**2 + 5*c + 3. Let w be z(-3). Suppose m - w*m + 20 = 0. Suppose 0 = -3*s - m + 229. Is 42 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 201577 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42383138.\nAnswer: 2, 7, 31, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11563\/85 - 684\/5. Calculate the common denominator of g and (3 + -1)\/((-35)\/(-125)).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6731 - 1983. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -17, -5, 23, 73?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (3\/4 + -2). Let s = 2\/8699 + 17380\/78291. Which is the nearest to l? (a) 1\/4 (b) -1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 977055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 3247148*h**2\/5 - 659110145692*h\/5 + 45463141695156\/5.\nAnswer: -4*(h - 405859)**2*(h - 69)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7))**(1\/2)*j**(6\/11)\/(j**(-31)*j*j) assuming j is positive.\nAnswer: j**(573\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 4010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 + 22*l**3\/3 + 2*l**2 + 104*l + 2534. Give b(-22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + f + 0 = 12, -2*f = 6. Suppose 136 = -d*x + 340. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (8\/20 - (-133)\/5). Suppose -4*h - 11 = -47. What is the greatest common divisor of t and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i - 6*i - 10*i - 12*i. Let x be c(-1). Suppose -6*o + 3*o = -x. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 760, 1149, 1542, 1939?\nAnswer: 2340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (0 + 19)) + 8 + -1 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*s**2 + 4 - 4.\nAnswer: 699*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 7*i - 3*i - 375 + 2*i.\nAnswer: 4*i - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 7) + -1 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-10))\/((-1)\/(-430)). Suppose -179 = 2*g + p, 14*g - 17*g + 4*p - 285 = 0. Let u = m + g. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.4, 0.1, -2\/11, 3\/4, -4503?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*j = 61, -5*j + 105 = -4*s - 165. Let i = 62 + s. Let c be (-1)\/(i*1\/39). Solve -5*u - c = -k, 2*k - 3*u - 16 = 2*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3971884 divided by -4?\nAnswer: 992971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -610 + 605. Which is the biggest value? (a) 5\/4 (b) x (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 50*o + 398. Let y be f(-9). Let p(b) = 9*b**2 - 2*b - 2. Let k be p(3). Let w = k - y. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127386903 minus -2942?\nAnswer: 2127389845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhjjjhhh. What is prob of picking 1 j and 3 h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let f be 12*3\/(-42)*(-14)\/4. Let y(a) = 220*a + 3. Let b(i) = 18259*i + 248. Let g(w) = f*b(w) - 248*y(w). Give h(g(p)).\nAnswer: -434*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -204712, -409392, -614070, -818746, -1023420, -1228092?\n\"Answer: j**2 - 204683*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 182 * -4.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - p + 3*p + 1 = -v, -3359*p + 4*v + 79 = -3370*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 + 21062\/135. Suppose -77 = -22*f - 50*f - 5. Which is smaller: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100*m**2 + 76*m - 207075.\nAnswer: 200*m + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9345 and 41385.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2790\/7 - 1\/7*i**3 - 316\/7*i**2 - 267*i.\nAnswer: -(i + 3)**2*(i + 310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33274 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -149, 478, 1, 0, -4, -1, -11 in increasing order.\nAnswer: -149, -11, -4, -1, 0, 1, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/3, 10.9, -89, 426, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 + 9*w**2 + 19*w**2 - 4*w**2.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 147*z**3 + 9*z**2 + 6*z - 7. Is v(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 1676176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-2)\/(-2)) - 3. Let j be (4\/20)\/(n\/(-5)). Is 2 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*f**3)*(-22*f**2 - 16*f**2 + 3*f**2).\nAnswer: -140*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4 + (-11200)\/(-8448) and -47\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let s be (5 + 1)*14\/(-21). Let k(p) = -2*p - 7. Let l be k(s). Let x be u(l). Which is the third smallest value? (a) x (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - -6*2*sqrt(152))*-5)\/(((sqrt(128) - (sqrt(128)*2 + sqrt(128)) - sqrt(128)) + sqrt(128) - sqrt(128))*-6))**2.\nAnswer: 80275\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - -6*8\/(-48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/10*175\/(-210). Let b be 3 - (0 + -1 + 3). What is the nearest to -2\/7 in l, -0.3, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:38 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/189*((-754)\/116 - (3 + 13)\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x + 8. Let q = -931 + 1025. Suppose 164 - q = 10*a. Is x less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002 (base 3) in base 7?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/y**(-5))*y*y)\/y**(-1\/5))**(-11\/5)\/(((y**(2\/7)*y*y)\/y*y)**(-1\/35))**(-1\/7) assuming y is positive.\nAnswer: y**(33877\/8575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obbbob. Give prob of picking 3 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k**4 + 28*k**3 - 309*k**2 - 1. Let s(r) = 2*r**4 + r**2 - 1. Let v(h) = j(h) + s(h). What is the third derivative of v(f) wrt f?\nAnswer: -192*f + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yckokykooh. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2*p - 42*i**2*x**3 + 30*i*p*x**3 - 9154*i*x**2 wrt x.\nAnswer: -252*i**2 + 180*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213949.\nAnswer: 213949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**4\/3 + 2*d**3 - 8*d**2 + 2*d + 7. Let q(k) be the first derivative of p(k). Suppose q(b) = 0. What is b?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 61\/4 of a meter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 4, 0, 1, -196, 2 in decreasing order.\nAnswer: 4, 2, 1, 0, -33, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = -70*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 5*d + 308. What is the remainder when d is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6659372?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 1 + 4 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t, 2531*t = 3*l + 2535*t + 24 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 5*t + 4. Let m be b(-7). Let d(q) = q**2 + 7*q - 14. Is d(m) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**4 - 10552*u**3 - 580828*u**2 - 6351720*u = 0.\nAnswer: -2582, -41, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611365 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 6497860*m\/3 - 5277773072450\/3.\nAnswer: -2*(m + 1624465)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 19*t**4\/14 - 52*t**3\/7 + 12*t**2 - 16*t\/7 - 805. Find u, given that y(u) = 0.\nAnswer: 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 + 2*k**2 - k - 2. Let d(q) = -6*q**2 + 5*q + 1. Let h(j) = 5*j**2 - 4*j - 1. Let y(f) = 4*d(f) + 5*h(f). What is u(v) - 2*y(v)?\nAnswer: 3*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 19*r**2 + 2*r + 1. Let t(c) = -96*c**2 - 10*c - 4. What is 14*h(b) + 3*t(b)?\nAnswer: -22*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 3) to base 5\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2738*i**5 + 541606*i**4\/3 + 19863148*i**3\/9 + 84807460*i**2\/9 + 52666706*i\/3 + 12159994 = 0. Calculate i.\nAnswer: -3, -281\/111, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*t**2 + 25318945*q*t**2 + 50839*t**2 - 1026 with respect to q.\nAnswer: -4*q*t**2 + 25318945*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(16\/4))\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2.0575.\nAnswer: 0.20575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -57. Suppose -2*d = 4*f - 4, -d = g*f - 2 + 4. Calculate the remainder when 18 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3) - (sqrt(3) + sqrt(12))))*-4 + ((4*sqrt(63))\/sqrt(7))\/sqrt(3).\nAnswer: 12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0. Let a = 0.9 - s. Let y = 128\/9 - 14. Sort 4, a, y in increasing order.\nAnswer: y, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2384.0004 - 2392. Let z = v + 8. What is z rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25\/2 of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + j - 18, -52830*o = -52829*o - 3*j + 14 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114049*b**2*h**2 - 3215887*b**2 + h**3 wrt h?\nAnswer: 228098*b**2*h + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19*g + 5*g + 0*g - 20*g. List the prime factors of c(-2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*h + 1 = 0, 0*h = 3*l + 2*h + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g + 14*g**2 - 29*g**2 + 3*g + 12*g**2 + 12*g**2. Suppose 4 = -o + 5. Calculate d(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.14 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (420\/10)\/7*25*(-176)\/(-480)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*p = 576, -5*v + v - 15*p - 16*p = -33*p - 40 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -0.0042.\nAnswer: -3.0042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 2*y**2 - 3*y**2 - 8*y**2 + 6 + 3*y**2. Give g(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 79, 311, 771, 1537, 2687?\nAnswer: 4299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1073\/3 + -359. Let t be (-1)\/17*(-4)\/(-2). Let g = 8\/23 - 148\/161. Which is the nearest to -1\/2? (a) g (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69 + 20*v - 69)*(-2*v + v - 1 + 4) to f*v + q*v**2 + z and give f.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*x = 1815*x + 321*x - 77613 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -32, 10, -3, -37 in decreasing order.\nAnswer: 10, 5, 0, -3, -32, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y + 35*y + 0 + 15*y + 0. Let g(r) = -r**2. Give g(c(n)).\nAnswer: -3364*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m**2 - 7*m + 1. Suppose -1444*w + 1447*w + 29 = 4*h, -6 = -3*h + 9. Let v(r) = -1 - 5*r**2 + 2*r**2 - 2*r**2 + 3*r. Give w*y(x) - 7*v(x).\nAnswer: 2*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -931519, -1863041, -2794563?\n\"Answer: -931522*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/217 + -283\/4774. Suppose -x - 3*h - 20 = 3*x, x + 5 = 5*h. Let c be (1 + -1)\/(-4*x\/10). Which is greater: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - q = -2*u + 14, -2 = u + 3*q. Suppose -2*a + 5*f = -21, 1712 = -a + 5*f + 1730. Solve 2*z = 6*o - a*o + 5, -5*o = -u*z + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66631179+-81.523\nAnswer: -66631260.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14158500 divided by -2831700\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbaabaqyhb. Give prob of sequence yq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 38*t**2 + 20*t - 21. Is h(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12\/11 - 130\/99. Which is the nearest to -2\/3? (a) -1\/3 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73701.044 rounded to the nearest 100?\nAnswer: 73700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -3*n = -l*n - 8. Let g(f) = 2*f**2 - 5*f. Let w be g(n). What is the highest common divisor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 2, -10, 5, 195, 3.\nAnswer: -10, 2, 3, 5, 37, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5527 (b) 0.4 (c) 70 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*n - 61*n + 333*n - 71*n + 2*n - 62*n - 71*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.42 + 18.5. Is v != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/19 and -20\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17454 divided by -6?\nAnswer: -2909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.9212054 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5419 - -5453. Calculate the highest common divisor of k and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 4. Let u be j(-5). Let y(t) = 9*t**3 - t. List the prime factors of y(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**0*w*w)**(-10))**(-2))**(-6\/13))**(3\/32) assuming w is positive.\nAnswer: w**(-135\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*u + 56*u**3 - 21*u**3 + 62*u**3 + 67*u**3 - 26*u**3.\nAnswer: 138*u**3 + 116*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/26*(-50)\/75*-13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 56 = 18*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3001548*0.2\nAnswer: -600309.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8*o = 0. Suppose -14*g + 6*g + 168 = o. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119357, -238730, -358103, -477476, -596849?\nAnswer: -716222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3061, -6120, -9179?\n\"Answer: -3059*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -240004.65 rounded to the nearest one hundred?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -4 - -9 - 2) + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21409 is divided by 21407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 67508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -866 - -6975\/8. Calculate the common denominator of l and 21\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 980*u**2 + 50733*u - 675054.\nAnswer: (u - 926)*(u - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6\/51145 and -53\/50?\nAnswer: 511450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21377, -85121, -191233, -339713, -530561, -763777, -1039361?\nAnswer: -1357313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 0 - 4\/3*h**2 - 2\/3*h**3 = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 28*x - 89. Let k be p(-24). Solve 12 = -4*n + k*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/27*-3*(-6 - -12). Sort -0.3, -4, i, 2 in decreasing order.\nAnswer: i, 2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**4*m*m)))\/m**(-1\/4))\/(m**(2\/9))**41)\/((m*(m**(-11)\/m)\/m)\/(m**11*m))**(-3\/4) assuming m is positive.\nAnswer: m**(-751\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 12. Let z(t) = 3. What is -3*u(q) + 15*z(q)?\nAnswer: 3*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18043469*i**2 + 174 - 258 + 84 + 18043470*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143635333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -3*b + 280. Suppose -b - 8 = -2*u. Suppose u = k + 2*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-18))\/(10\/(-40)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1005 = -924*m + 589*m. Suppose -4*b + 7*b = 72. Suppose 0 = 3*f - 7*f + b. Solve q = m*t + 2*t - 18, t - f = -q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213110210 + 3?\nAnswer: -1213110201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411142 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 190. Let d be g(23). What are the prime factors of (-4)\/(-10) + 86193\/d?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 17 = 3*f. Solve -a - 2*a = i + 7, 3*i - 3*a = -f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-14 - (-31 + 18))*(-9096)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 4, 0.4, 33, 0.493, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*f**4*j + 5*f**4 - 17*f**2*j + f*j - 19*f - 3*j + 12 wrt f.\nAnswer: -240*f**2*j + 60*f**2 - 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -123964, 2, -64, 5 in decreasing order.\nAnswer: 5, 2, -64, -123964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213315 is divided by 193.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from jiiririqs.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + -4?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.2. Let v = 0.3 - z. Let h = v + -0.19. What is h rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -13*p. Let c(n) = 4623*n**2 - 663. Give c(a(v)).\nAnswer: 781287*v**2 - 663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 15, r = 5*u - 2*r - 21. Let s(k) = -k**2 + 6*k - 9. Calculate s(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -52.\nAnswer: -52, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*t + 5*t + 12, -3*c + 6 = -5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 153*m - 730. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/60 - x**4\/6 + x**3 - 12*x**2. Let r be v(3). Suppose -r*a = -18 - 9. What is the lowest common multiple of 8 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2291212.\nAnswer: 2, 7, 11, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 55*u - 171. Sort -4, u, 7, 1 in descending order.\nAnswer: 7, u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/(6\/16). Let z = t - 4. Let l = 27 + z. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0\/(3 - 0) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 33329.2\nAnswer: -33326.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 0*(-5)\/(-30). Sort -5, 18, m in descending order.\nAnswer: 18, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - sqrt(13))**2 + 3 - (sqrt(104)\/sqrt(8) + -2).\nAnswer: -sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:12 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o. Let m(t) = t. Let b(p) = -p**2 - p + 10. Let d be b(3). Let z(w) = 8*w. Let v(c) = d*z(c) + 14*m(c). Determine a(v(i)).\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3479780 is divided by 28998?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/2 (b) 2 (c) 5 (d) -11\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6.57267.\nAnswer: -6.57267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5816578)\/54276 - (0 - 103).\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 28 - 2 = -4*y, 22 = -5*y - j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = -2*x - 7*i, -5*x + 14261 = -2*i + 14313 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2167996 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (4 - -11) + (1 - 2) + 8 + -3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -7947.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or -1853?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let c(p) = 13*p**2 + 3*p + 9. What is c(x) - 3*m(x)?\nAnswer: 13*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21, -26, -31, -36, -41?\n\"Answer: -5*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -24*m**2. Let d(n) = 49*n**2. Let l(t) = -6*d(t) - 11*h(t). Let f(c) be the first derivative of -c**3\/3 - 7. What is l(f(g))?\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 253271*r - 506543. What is x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6699044, 6699042, 6699040, 6699038, 6699036?\n\"Answer: -2*j + 6699046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207375 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**2 - 8*o - 8. Let w(t) = t + 1. Let a(k) = v(k) + 3*w(k). Let b be a(-5). What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 5, -25, 4\/9, -0.5.\nAnswer: -25, -0.5, 4\/9, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, f: 8, i: 1, b: 4}. What is prob of picking 1 i, 1 f, and 1 b?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 42039 = 130605. Let d = -5186 - c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let v(m) = -6 - 21*m**2 + 6 - 4*m + 16*m**2. Calculate v(n(x)).\nAnswer: -5*x**4 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.55867105 to 2 decimal places.\nAnswer: 38.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 13 = -3*r, -3*r - 2*y + 25 = 0. Let v = -4 + r. Let h be (36\/30)\/((-3)\/(-10)). Solve -5*l = h*s - 22, 0*l + v*l = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*c + 16. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 4*l**3 + 11*l**2\/2 - 12*l. Find the first derivative of n(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10*i*i*i**6*i assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28 + -3 + 25\/5. Suppose 2*f + 110 - g = 0. What is the common denominator of ((-22)\/11)\/(f\/(-146)) and 2\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3756182939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16630 and 5.\nAnswer: -16625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-8)\/77. Suppose 1738*q + 2*c = 1735*q + 13, -4*q = c - 9. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 8*x + 7. Let b(t) = t + 3. Let w be b(0). Suppose w*j + 22 = 4. Give a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 99?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let x(n) = -3 - 13*n + n**2 + 4 + 5*n + 9*n. Let y(r) = 2*r**2 + 3*r + 3. Let m(h) = 6*x(h) - 2*y(h). Determine m(a(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45210330 + 10?\nAnswer: 45210340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(3\/4))\/((n\/n**4*n)\/n))**(-21) assuming n is positive.\nAnswer: n**(-483\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-25)\/10) + 1\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + 0\/2. Let o(p) = -p**2 - 9*p - 27. Let n be o(-6). Let g be 55\/33 - (-6)\/n. Solve 2*d = a + 1, s = d + 4*a + 5 - g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469048, -469049, -469050, -469051, -469052?\nAnswer: -469053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8105.27977 to one dp.\nAnswer: -8105.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 9*a - 6. Let d(c) = 15*c - 52. Let x be d(4). What is m(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 0*t**3 + 39 - 48 + 4*t**3 + 15*t - 2*t**3 - 51 - 17*t**2. What is the hundreds digit of x(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 7*j**5\/180 + 233*j**4\/72 + 11*j**3\/3 - 2*j**2 - 154. Factor a(d).\nAnswer: (d + 33)*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(6 + 0 - 924\/88)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -15*b. Suppose -62*r = -66*r + 56. Let k(q) = -r + 14 + 2*q - q. Calculate o(k(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 28420 = 5*c, -7*b = -4*b - 5*c - 28400. What is b rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 820.301km?\nAnswer: 82030100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110111101000101100 (base 2) to base 5\nAnswer: 24243014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44055, 44029, 43973, 43887, 43771, 43625?\n\"Answer: -15*s**2 + 19*s + 44051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3464531 - 4?\nAnswer: -3464535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*t - 16 + 16)*(745 - 1385 + 932 + (-3 + 0 + 1)*(1 + 1 - 3) + 2 - 1 - 3) to a*t + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7240 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 0*h - 140*h**2 + 122*h**2 in the form j*h + r + i*h**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v + 550. Suppose -6*b + v = -b. What is the highest common divisor of b and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -881523240 to the nearest 1000000.\nAnswer: -882000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 2*x**2 - 9*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 553.16655 and 0.857.\nAnswer: 554.02355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 7958, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 284397.404 to the nearest 100.\nAnswer: 284400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 5*s + 8. Let a be q(6). Let n = -0.05 + -5.95. Let m = -6.05 - n. Which is smaller: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2248\/22255 + -9\/8902. Let x = -0.0162 + -39.8838. Let l = 38 + x. Sort -0.3, w, l.\nAnswer: l, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 40399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567*h - 19521 - 532 = 681 + 1379 for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*k + 30. Let n = k - -23. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.533626m?\nAnswer: 0.001533626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*z = -57, -2*a - 178 = 59*z + 524 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + j)*((4649*j**3 - 110*j**4 - 4649*j**3)*(-1 + 2 + 0) - 2*j**4 - 2*j**2 + 2*j**2).\nAnswer: -112*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -603, 0.3, -0.4 in decreasing order.\nAnswer: 0.3, -0.4, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 9 - 29 = 0. Let z(b) = -10*b**2 + 7*b - 13. Let w(f) = 7*f**2 - 5*f + 9. What is q*z(u) + 7*w(u)?\nAnswer: -u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 548, 1208, 2134, 3332, 4808, 6568?\nAnswer: 8618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924*p + 583 = 797*p - 3100 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 942*c**3 - 3*c + 77*c**4 - 1877*c**3 + 940*c**3 - 13*c**4 + 158*c**2 wrt c?\nAnswer: 1536*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563774 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 14*o**2 - 2*o + 17. Let k be y(5). Suppose 377 = 4*i + k. Sort 3, 2, 41, i in decreasing order.\nAnswer: 41, i, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -476\/3, -4, -28, -3\/34?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2601 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2 - 2*o**2 - 10*o - 2*o**2 + o**2 = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22423 (base 5) to base 6\nAnswer: 11245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -938*n - 339 wrt n.\nAnswer: -938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 2:31 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o. Let b(s) be the second derivative of -31*s**3\/6 + 15*s. Determine p(b(x)).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 857988 and 9036.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5815*c**2 - 3*c - 2. What are the prime factors of d(1)?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9 + (-1313)\/(-303). Solve -s*h = c - 8, -2*c + 4*h + 0 = -2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45614392 divided by -4?\nAnswer: 11403598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w - 44 = 4*u, -3*w - 2*u - 29 = 0. What is the remainder when 75*4\/(-42)*w is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -798 by 3.\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7328540024.\nAnswer: 2, 13, 70466731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/(-18) - (-1)\/(-6). Let k = 1 + w. Let i = k + 11. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3818 + 3823. What is the nearest to 0.1 in h, 0.4, -30, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + c = 39, -4*j = -2*c - 3*c + 160. Let r = j - 17. Does 13 divide (r\/10)\/(3\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -949 + 1889 - 1864*f + 5179*f - 940 + (1 + 4 - 3)*(-f - 2*f + 2*f).\nAnswer: 3313*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.4 - -44. Let i = -0.4 - x. Let w = -10 - i. Sort w, 0, -0.2.\nAnswer: w, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**6\/540 - r**5\/180 - 2*r**3\/3 - 3. Let z(g) be the third derivative of h(g). Factor z(i).\nAnswer: -2*i*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 1212301?\nAnswer: 1212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -15, 0, 14 in decreasing order.\nAnswer: 14, 3, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u - 66*u + 11200 = 0. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oooqooqooqqooq.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.24 + 12.24. Let g = r - 7. Let d = -235\/1743 - 2\/249. Which is the smallest value? (a) d (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.31 minus 0?\nAnswer: 130.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from ddwwwdddwdduwuddddrb?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**4\/b)*b*b)\/b**(4\/3))\/(b*b**0)**19 assuming b is positive.\nAnswer: b**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15390\/25 - (-6)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-7)*(x*x**3*x)\/x)\/(x**(-1\/2))**(-18))**(-3))**40 assuming x is positive.\nAnswer: x**1440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33990 and 360.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -69*s**2. Let d(j) = 21*j. Give t(d(u)).\nAnswer: -30429*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 + -6)\/((-8)\/(2 - 4)). Put 0.3, -15, j, 4 in decreasing order.\nAnswer: 4, 0.3, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165427369 times -3\nAnswer: 496282107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(200)*3)**2.\nAnswer: 117\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*y - b, -2*y - 32 = y + 5*b. Is 688\/6 - 3\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-3\/5)*b)\/((b\/(b\/b**(-7)*b))\/b*b))**(-34) assuming b is positive.\nAnswer: b**(-1972\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 93791 divided by -1?\nAnswer: -93791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.66 - 0.04. Let b = 0.9 + q. Are 0 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:26 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**2 - 15*v + 38. Give q(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**2. Let o(l) = 85991032*l**2. What is u(o(w))?\nAnswer: 125705778935225408*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/120 + l**5\/10 + l**4\/8 - 2*l**3 - 9*l**2. Let v be n(-5). Let j be (1 + -2 + 1)\/v. Let q(a) = -a**3 - a + 1. Give q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*t + 6, 0*r + 4*t - 2 = 3*r. Let u be (-56)\/22 - 0 - r. Let x = 3.9 + -4. Which is the nearest to x? (a) -3 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + -1. Let m = -18 - x. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729426970.\nAnswer: 2, 5, 359, 203183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2188, 3, 2 in ascending order.\nAnswer: -2188, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 6*p + 2. Let c be j(-6). Let u(f) = 3 + 4*f**2 - 5*f**2 + 6*f**c - f - 4*f**2. Let m be u(0). Solve 0 = -2*i - m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 15)*(2\/(-6) - 1). Solve -3*d - 3*m + 6*m - 6 = 0, 0 = a*d + 4*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 10. Let h be f(-7). Let v be (2\/(-3))\/((-4)\/h) + 49. Is v > 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -363008 or -362996?\nAnswer: -362996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 11058*g**2 - 11058*g**2 + g**3 + 7*g**4 + 2*g to the form m*g + s*g**3 + l + r*g**4 + z*g**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/2 - 1 - 30. Let q = 44 + l. Suppose -4 = -2*f, -q = -5*n + 2*f - 0. Solve 2*o + 20 = -n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 90997?\nAnswer: 90996.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5859 + 1845481\/315. Calculate the common denominator of 42\/5 and i.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18 = -13. Solve 2*b = s + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 14) in base 2?\nAnswer: -10001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 + -31?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -162 * -0.2\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:18 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(6\/(-1246))*(10\/(-12))\/(4865\/(-834))?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234012 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 502777 = 205837. What is the third derivative of 93*w**2 + 10032*w**5 - t*w**5 + 65*w**2 wrt w?\nAnswer: 8040*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/16))\/(z**22\/z) assuming z is positive.\nAnswer: z**(-319\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560337?\nAnswer: 3, 17, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2030 + 3482 + 1074*y - 204 - 668 wrt y.\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.89 * -4\nAnswer: -15.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-10))\/((-4)\/(-30)). Let p = -2 + a. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*s + 2*s + 6 = -126, -4*p + 35*s + 941 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1345508, -1345535, -1345586, -1345667, -1345784?\n\"Answer: -f**3 - 6*f**2 - 2*f - 1345499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 + 16595*f**4 - 13761390*f**3 - 13811200*f**2 + 27556000*f = 0.\nAnswer: -2, 0, 1, 1660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-130)*-1)\/((-2930)\/2930)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 3. Let s(v) = v**3 - 7*v**2 + 5*v - 7. Let c be s(6). Let m = 14 + c. Let g(n) = 9*n - 3 + 0 - 7*n + m. What is -3*a(x) - 4*g(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-6) - 4)\/((-3)\/666) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53089 - 32993. What are the prime factors of l?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 151544 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.01 take away -17?\nAnswer: -31.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-4))**27 assuming r is positive.\nAnswer: r**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -263 (base 14) to base 3\nAnswer: -122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 4*z + 5. Let t be r(-3). Suppose -5*a - 92 = -h, -t*a = -0*h + h - 64. Is h a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -103103122?\nAnswer: 103103114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkdyjjkdkkkvkndd. What is prob of sequence vnd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142755*k**4 - k**2 - 2587*k + 1?\nAnswer: -3426120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.391649 days to minutes.\nAnswer: 563.97456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20827?\nAnswer: 59, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229260 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(2*t - t + 2*t) - 3 + 2*t + 3 + 0*t + 0*t - 3*t - 1 + 1 - t + (3*t + 3*t - 8*t)*(-1 - 1 + 1) + 5*t - 4*t + 0*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0557*-0.04.\nAnswer: -0.002228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -5, 4, -175?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 7*q**2 - 51*q + 6. Let w be h(-7). What is the second derivative of 2*c - 359*c**2 + 359*c**2 + 5 - 19*c + w*c**3 - 129*c**3 wrt c?\nAnswer: 1404*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 84. Suppose 6*r + 11*r + 12*r + 667 = 0. Calculate o(r).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -1\/12 in decreasing order.\nAnswer: -1\/12, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 575390 and 706?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 15808688?\nAnswer: 15808685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) + 5*sqrt(65)*3) - 5*(sqrt(65) - -2*sqrt(65)))\/((-1*sqrt(45))\/sqrt(9) + (sqrt(5) - sqrt(45)\/(sqrt(18)\/sqrt(2)))).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100110100001 + -10101010100?\nAnswer: 1010010001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36265.\nAnswer: 5, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139.34521 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 702137.6.\nAnswer: 702141.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 132*k**2 + 104*k**2 + 76*k**2 to the form o*k + r + s*k**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-10) + ((-4278)\/660 - -6). Let u = 8 - 5. Let v = 388\/2255 - -2\/205. Which is the closest to 0.1? (a) q (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f - 8. Let p(z) = z**2 + 2*z - 1. Let o be p(2). Let k be q(o). Sort k, -3, 1 in increasing order.\nAnswer: -3, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/8, 193743, -2\/7 in increasing order.\nAnswer: -2\/7, 13\/8, 193743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-eight fifths of a hour?\nAnswer: 34560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/5)*h**(-1\/5)*h\/(h\/(h\/h**(-1))*h)*h*h**(-2\/7)*((h*h**(-2)*h*h)\/h)**(-30)\/(h**(4\/11)\/(h\/h**0)) assuming h is positive.\nAnswer: h**(1136\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2150208152.\nAnswer: 2, 268776019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145350 rounded to the nearest 1000?\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2939*p + 410. Is l(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, d: 1, l: 3}. Give prob of sequence dl.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4311\/199739 or 0?\nAnswer: -4311\/199739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let a be 97\/8*(-16)\/(-712). Let g = a - 2\/89. What is the closest to 0.1 in -0.1, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(((o\/o**(-4))\/o)\/o)*o)\/(o*o**(-17)))\/(o**8*o**9))**(-8\/11) assuming o is positive.\nAnswer: o**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 217333 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 + 61*i**2 + 34*i + 76. Calculate m(-30).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = w - 43 - 267, 3*w - 895 = -5*l. List the prime factors of w.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 6.6. Which is the smallest value? (a) -4 (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-39) - 2516\/663?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-21 - -15)) + -2 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 4. Let w be q(-5). Let o(d) = d - w - 2 + 0*d. Calculate o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/9*c**2 + 2\/9*c**3 + 2\/9*c.\nAnswer: 2*c*(c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4799*h**6 + 106*h**2 + 11*h wrt h?\nAnswer: 575880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22289992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 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: Suppose -682*j + 696*j = 4102. Is 79 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10817*z**3 - 168*z**2 - 32852237*z wrt z.\nAnswer: -64902*z - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84529 is divided by 480?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1020 * 104\nAnswer: -106080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.383 and -2.42?\nAnswer: 2.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y + 14. Give v(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 31015209?\nAnswer: 93045627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from {f: 11, n: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 - w**3 + 2*w - w**3. Let n(h) = -4*h**3 - h**2 - 3*h + 1. Let o(m) = m**2 + 13*m + 20. Let q be o(-11). Give q*n(p) - 3*j(p).\nAnswer: -p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = 0, -4*z + 4*l = l + 35. Is (-19)\/(-3 - z\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*z**2 - 3\/2*z + 9.\nAnswer: -(z - 3)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61569224*0.4\nAnswer: -24627689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t - 6. Let h be 6\/(-4)*(-6)\/(-9). Let o(b) = -b - 1. Give h*w(y) + 6*o(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1357*a*x**5 + 5*a*x**2 + 6*a - 2*x**2 wrt x?\nAnswer: -81420*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -578199, -578271, -578347, -578427, -578511, -578599, -578691?\n\"Answer: -2*a**2 - 66*a - 578131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318976 smaller than 2318967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751*k = -762*k. Which is bigger: 4\/101 or k?\nAnswer: 4\/101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 805, 2963, 6559, 11593, 18065?\n\"Answer: 719*c**2 + c + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2507935 and -51\/17945.\nAnswer: 92793595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.1261*-4\nAnswer: 12.5044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2. Let r(m) = 39*m**2 - 1 - 100*m - 34*m + 134*m - 6. Give r(z(n)).\nAnswer: 351*n**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -263\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 + 34*v + 28. Give m(6).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 21*-2*9592\/(-302148)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 257277858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2663 is divided by 885.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 32*k**4 + k**2 + 2*k - 94. Let w(r) = -r**4 - r + 1. Let j(a) = c(a) + 2*w(a). What is the derivative of j(z) wrt z?\nAnswer: 120*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - -119. Suppose 3*n = b + 289, 87 + g = 3*n + 4*b. Suppose 2*x = 4*x - n. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u. Let i(b) be the third derivative of 5*b**4\/12 - 3*b**2. Determine i(l(z)).\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-11703)\/498)\/47)\/((-3)\/(-3)*(-3)\/(-654)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*w, 0*w + 2*w - 6 = -o. Let c = -4 - -6. Calculate the least common multiple of o and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 19*f + 63. Let l be k(15). Put 2, l, -11, -2 in descending order.\nAnswer: l, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3622*x + 3622*x - 13*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28367 - 28366.9. Sort l, -2\/27, 3\/11, -3\/5 in descending order.\nAnswer: 3\/11, l, -2\/27, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from ephbj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2591, -9915, -21909, -38573, -59907, -85911, -116585?\nAnswer: -151929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 9*k - 67. Determine t(24).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 324?\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let q(o) = 3*o**l - 10*o - 21 - 2*o**2 + 2 + 0*o**2. Let t be q(-9). Calculate the greatest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f. Let a(h) be the second derivative of h**4\/12 - 2*h**2 - 5*h. Let o(k) be the first derivative of a(k). What is p(o(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-230)\/(-9) - 340\/1530)*(-12)\/(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1223754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -152, -161, -170?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2226, -2063, -1918, -1791?\n\"Answer: -9*i**2 + 190*i - 2407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -1561\/22. What is the common denominator of 70\/33 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -77 (b) -17 (c) 110 (d) -1\/2 (e) 4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(125\/(-40) - -3). Suppose 5*m + 2*x - 2 - 8 = 0, -r*m = -x - 21. Find the second derivative of b + 36*b - 3*b**2 - m*b - b**2 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923292154 at most as big as 923292154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0115783205 rounded to 5 dps?\nAnswer: 0.01158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 285*q - 2240.\nAnswer: 5*(q - 64)*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 16*p = 2. Let u = -25 + 17. Let h = u - -5. Is p <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -5 (c) -37\/252 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:30 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 598872 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 o(x) = -x - 5. Suppose 4*r = 6*r + 20. Let w be o(r). What is the third derivative of -4*j**5 - j**2 - 8*j**2 + w*j**2 wrt j?\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 - b**2 - 2*b**2 + (b - 3*b + 0*b)*(0*b - 4*b + 2*b) + (-b**2 - 6*b**2 - 4*b**2)*(-1 + 4 - 1).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -5\/3 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 + 125. Does 42 divide 6 + -8 - -17*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 22 = -2*o - 1, -5*o = 3*d - 65. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*b - 10, 7*b + 4*z - 32 = 2*b. Is b\/6*(-438)\/(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-12)\/8) + (-87)\/(-2). Suppose 0*u - 60 = -5*u - p, -5*u - 2*p = -65. Calculate the highest common divisor of u and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 3*f + f)*(-f + 3*f - f) + 2*f**2 + 3*f**2 - f**2 + f**2 - f**2 - 1 + 2*f**2 as d + c*f + v*f**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, y: 4, l: 4, b: 1, r: 2}. Give prob of sequence bee.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -513, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13e7af (base 16) in base 6?\nAnswer: -43543155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211069 is divided by 4653?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*q = 2853, 2*j + 2*q = 5*j - 2853. List the prime factors of j.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 79.28816 tonnes?\nAnswer: 79288160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05326 - 0.0165. Let a = b - -0.074. What is a rounded to 4 dps?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1409 - 1398.54. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2346 (b) -1\/3 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is -119 equal to 0.056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12038, -24076, -36114, -48152?\nAnswer: -60190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1311432 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 33238\nAnswer: -9971.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 9. Suppose -60 = -5*p + 5*v, 2*p + p - 2*v - 36 = 0. Let k be a(p). What is the common denominator of (-288)\/42 + 1 + k and 23\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -598 + 601. Let t be (2\/6)\/(2\/(-3)). What is the fourth smallest value in 0.4, t, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18*((-29565)\/18)\/73. Solve 4*s + 4*r = -36, -13 = 2*s + p*r + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 66 - 119)*(3*d - d + 0*d)*(-2 + 1 + 2) to the form t*d + p and give t.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 (base 10) in base 14?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-19)\/5 - -2 and -4*(-3)\/54 + (-874)\/(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (27 + (191 + -45 - 2))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*d = 20 + 20, n = -d. Suppose j - n*v = -12, -3*v + 4*v - 5 = 0. Solve -2*x + 3*x - 2*p = -j, -4*x - 2*p = 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5344 + 5388. What is the greatest common factor of w and 1408?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11001 + -10?\nAnswer: 10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-1\/59))**(-8\/9)\/((((i**(-1\/2)\/i)\/i)\/i)**(-32\/5)*(i\/(i**1\/i))**(-9\/10)) assuming i is positive.\nAnswer: i**(-22849\/1062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 2. Let m = f + 33. Which is smaller: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4045091 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 p when three letters picked without replacement from {q: 2, p: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4821444*a**3 - 4994117*a - 2.\nAnswer: -28928664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 10*c - 12*c + 10)*(7 - 5*c - 7).\nAnswer: 10*c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 7:30 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -164\/315?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9790586 is divided by 3263517.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-193)\/4)\/((-79)\/(-316)). Sort q, 0, 5 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 less than 4\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3*z = -8 - 1, 0 = 3*y + z - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -4 - 2 - (10 - 13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5 + 168*p**4 - 2370*p**3 - 7476*p**2 + 196365*p + 758100 = 0. What is p?\nAnswer: -5, 19, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -62754\/11551?\nAnswer: -62754\/11551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 17064*q - 2764393. Determine o(162).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -53127*v**2 + 3 + 5*v - 2*v**4 - 13*v**3 - 5*v + 53125*v**2 in the form q*v + c*v**3 + z*v**2 + n*v**4 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 36970768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 9*m**3 + m. Let a be r(1). Let h = a + -17. Let x = -273 + 270. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 28*u**3 + 1820*u**2 + u - 2 + 4*u - 1822*u**2 to the form l*u**3 + y*u + g*u**2 + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -950 - 554?\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.127, 17, 437.\nAnswer: -0.127, 17, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/96 and 59\/884.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-1 - 28))\/(49\/(1568\/64)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**2 + 4. Let z(s) = -4*s - 7*s + 7*s - s. Determine a(z(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 7 + 4 = 0. Suppose -203 - 67 = 3*c + 2*o, -v*c = 4*o + 264. Let x be c\/(-1)*(-6)\/(-8). Round x to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from ppfnzzffffdapfdff.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 31 = -3*f, 2*f - 19 = -5*l + 27. What is the highest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111200112 - -11?\nAnswer: -20111200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p**4 - 31\/60*p**5 + 0 + 38*p**2 + 0*p - 17\/6*p**3. Differentiate c(j) with respect to j.\nAnswer: -62*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**3 + 3*i + 1. Let y be t(-2). Let w = -649\/7 - y. Let s = 4.1 - 4. Which is the closest to s? (a) -2 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from bpbpbppppbpbpbbbbp?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 33 = -197. Suppose -1928 = z*m - 50*m. What are the prime factors of m?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/21 - 2152*g**2\/7 - 26506*g\/3 = 0. Calculate g.\nAnswer: -3199, -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 divided by -6?\nAnswer: -529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -137.8066.\nAnswer: -124.02594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8200*a**4*f**3 - 690*f**3 - 8*f wrt a?\nAnswer: -32800*a**3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 714, -0.4, 13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -381575\/24 + 15903. Let a be 35\/10 + -3 - (-1)\/2. Find the common denominator of d and (a\/3)\/((-9)\/(-52)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 + 2*i**2 - 76 - i**3 - i**2 - i**4 + i to the form v*i**3 + y*i**2 + o + a*i + g*i**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/9373920 and 17\/238320.\nAnswer: 28121760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42843092 divided by 33.\nAnswer: 42843092\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -35\/2*s**2 - s - 79 - 14\/3*s**3. What is the second derivative of o(y) wrt y?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -184896294*k**2 + 87930572*k - 4?\nAnswer: -369792588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.03003cm to micrometers.\nAnswer: 460300.3","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/12 - w**3\/6 + 2*w**2 - 3*w. Let a be t(0). Find the second derivative of -4*j**2 + 5*j + 6*j - a*j wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/5))\/r**(1\/5)*(r*r**(-5))\/r*r**(-1\/4) assuming r is positive.\nAnswer: r**(-93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4361 - -225\nAnswer: 224.5639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100596087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.76 to the nearest integer.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 574*i**2*x**3 + 7*i**2 + 2*i*x**2 - 2*x**3 + 22*x**2 wrt x.\nAnswer: 3444*i**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17726\/377 in 3, -3\/8, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*i + 4, 0 = 5*a - 2*i - 15 + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 23*n - 51. Let v be w(6). What is the greatest common divisor of v and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10168)\/217)\/(-41))\/((-14)\/196)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1544\/154)\/(-2) + 5)*1. Let p = o + 236\/385. Let u = 2 + 0. Which is the fourth smallest value? (a) p (b) 3 (c) -4 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 299*h**4 + 2*h - 6 wrt h?\nAnswer: 3588*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 16*b - 21 + 24 as i*b + h and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -52. Suppose -380 = -q*i + 42*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*p**4 - 22 - 16 + 72*p**5 - p**2 - 16 + 110*p**4 wrt p?\nAnswer: 4320*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((936\/80)\/39)\/(2\/(-5)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572 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: How many kilometers are there in 859725.4nm?\nAnswer: 0.0000008597254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65577826 and -11.\nAnswer: 721356086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 2302026264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w. Let c(p) = 353065*p. Determine c(i(m)).\nAnswer: 706130*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 4*z - z)*(1 + 0 + 0) + z - 11*z - 21*z - 42 + 42 - 34*z.\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3785404? (a) 0.5 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.981 + -0.019. Let a = -8.054 - j. Let t = -0.054 - a. What is the third biggest value in 20, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 26, 41, 56, 71, 86?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-14)*(12495\/(-34))\/(-35)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175100263 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, 3, -1\/6, 0.14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272 and 3400.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -152. What is the units digit of g\/(-2)*(-38 + -32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*n - 6*n + 76 = 0, -2*n + 101 = 5*j. Solve 0 = 5*w - 2*h + j, -4*w = h + 3*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001019753 to seven decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 - -188. Suppose -x + p = 6*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: Solve r**2\/2 - 1613*r\/2 - 3234 = 0 for r.\nAnswer: -4, 1617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/63)*g*g\/g**(3\/4)*(g\/g**(-1\/12))\/(g\/(g\/g**(-2\/15))))**34 assuming g is positive.\nAnswer: g**(37468\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 - -75. Suppose 3*c + z*c = 1602. Suppose 3*x + 4*q - c = 0, -5*x - 864 = -10*x + 2*q. List the prime factors of x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214072*z + 214072*z + 24*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 524*d**2 + 4*d - 11. Is h(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 - 21*a**3\/5 - 22*a**2\/5.\nAnswer: a**2*(a - 22)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3445 - -36?\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjacacdccab. Give prob of picking 1 a and 1 j.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-144)\/(-60))*(-15)\/10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 99\/5 - ((-341106)\/(-24540) + (-11)\/(-10)).\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -940627*z. Let v(k) = 447*k. Determine v(y(j)).\nAnswer: -420460269*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -918*a**2 + 9892*a - 8632. Differentiate m(u) wrt u.\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1280806)\/(-10) + 2\/(-4)*224\/(-280) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527225\/2 less than 1763614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 9781, -28, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9\/5 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 31, -9, 1 in decreasing order.\nAnswer: 31, 8, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/4 - 38*g + 2295\/4 = 0.\nAnswer: 17, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0*v**5 + 2*v + 12*v**2 + 0 + 0*v**3 - 11\/30*v**6 + 0*v**4. Find the first derivative of i(b) wrt b.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469*t + 463*t = -96. Solve -4*q + w = 5*w + t, 12 = -3*q - 5*w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - 3*32\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (152 - 76) + -70 - (-44 - -5)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*d + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5 - 1*(1 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2153 - -207?\nAnswer: -1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46170 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 83652606 to the power of 1\/2, to the nearest integer?\nAnswer: 9146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -4*s + w + 425, -2*s = -w - 192. Let x = 193 + 110. Let r = -292 + x. What is the remainder when s is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100001001011 (base 2) to base 4.\nAnswer: -3201023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r. Let y(s) = -s**2 + 331*s. Determine y(k(j)).\nAnswer: -49*j**2 + 2317*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 4*c**2 + 3*c + 5. Let n be v(5). Let j = n + 9. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2. Let x(i) be the third derivative of -19*i**4\/24 - 140*i**2. Determine t(x(g)).\nAnswer: 722*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 150 - 26 = 0. Suppose 7*q = 10 + o. Suppose -l - m + 4*m - 3 = 0, -2*l + m = -4. Calculate the greatest common factor of l and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnlnllnllll. What is prob of sequence llln?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(243) + 3)*3 + (sqrt(243) - ((sqrt(243) + 0 + sqrt(243))*-3 + sqrt(243) + sqrt(243)))*1)**2.\nAnswer: 1728*sqrt(3) + 15696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 610 and 244?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/3)\/n*n**(6\/13)*n**16*n**(4\/17)\/n assuming n is positive.\nAnswer: n**(9302\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 90. Let u = s - -44. Do 1 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18397248?\nAnswer: 2, 3, 95819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3 = 0, -t - 4*x = -0*t + 235. Suppose -5*o + 2*l - 1951 = 0, -5*l - 365 - 427 = 2*o. Let d = t - o. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*h + 1127 + 2173 = 492 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1573) - (sqrt(1573) + 0)) + sqrt(1573) - sqrt(1573)) + -5 + (sqrt(1573) - (-1 + sqrt(1573) + sqrt(1573)))*1*4)**2 + 0.\nAnswer: 88*sqrt(13) + 25169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 893968*h + 139387 with respect to h.\nAnswer: 893968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u*u\/(u*u\/(u\/u**(-2))))*u)**12\/(u**(-5)\/u**(1\/4)))**(4\/17))**(-38) assuming u is positive.\nAnswer: u**(4674\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 25359.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1941696 (base 10) to base 13\nAnswer: -52ca43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -6.4. Let s = u + 3. Sort -2\/13, s, -5.\nAnswer: -5, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 8, u: 4, b: 7}. Give prob of sequence gub.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 44587244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -2.5, -3, 129, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 70*m = 594. Solve -3*w = -3*l, -5*w - 5*l = -m*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2. Let c(y) be the second derivative of -27*y**3\/2 + 198*y. Give i(c(b)).\nAnswer: 26244*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 6831*h - 6787*h - 991 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(7)*2 + -1 - (1 + sqrt(448) + 1) - (-2 + 3 + (sqrt(14) - sqrt(28)\/sqrt(32))\/sqrt(2)))**2.\nAnswer: 108*sqrt(7) + 6127\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - m**2 - 4. Let i(a) = -69*a**2 + 135*a**2 - 8 - 67*a**2 - 5*a**3 + 3 + a**3. Suppose -3*y - 9 - 3 = 0. Determine y*i(o) + 5*v(o).\nAnswer: o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198545 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**3 - b**2 + b - 288. Let r(i) = 5*i - 4. Let v be r(1). Give w(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {s: 2, p: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 696246.8 micrograms?\nAnswer: 0.6962468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.31719*-4.\nAnswer: 77.26876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 85, 594, 1969, 4642, 9045, 15610, 24769, 36954?\n\"Answer: 72*m**3 + m**2 + 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**2\/2 - 18*k + 2701. Give r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2031 + -826. What are the prime factors of j?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 32*d - 30. Let q(y) = 32*y - 30. Let w(v) = -4*h(v) + 5*q(v). Differentiate w(s) with respect to s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 33 = -9*v + 6*v, 3*v - 33 = 3*i. Let y = -14 + v. Put -2, 0, y in ascending order.\nAnswer: y, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3882.6 * 15.5.\nAnswer: 60180.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2942*2\nAnswer: -5884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/2700 + m**5\/450 + 2*m**4\/45 - 7*m**3 - 45*m**2. Let w(o) be the first derivative of n(o). Solve w(v) = 0 for v.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1733836 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: Expand (2*p**5 - 373*p**3 + 2*p**4 + 373*p**3)*(-5 + 3 + 1).\nAnswer: -2*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-10)*2*(-7)\/((-154)\/132). Find i, given that 216\/5*i - 252\/5*i**2 + 3\/5*i**5 + 0 + 27\/5*i**4 + d*i**3 = 0.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4301 (base 10) to base 16\nAnswer: -10cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2030 + -2018. Calculate the greatest common divisor of u and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39771 and 211621.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 2*b)*(-14*b**2 - 49*b**2 - 20*b**2) + (-4*b**2 + 5*b**2 - 3*b**2)*(2*b + 0*b - b) - b**3 + 0*b**3 - b**3.\nAnswer: 79*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 4. Let x be v(2). Let b(l) = 6*l**2 - 6. What is the tens digit of b(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 6*z + 10. Is u(-10) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -5*j - 7, -375*j = -378*j + 5*v - 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -274 + 273. Let f be (-1151)\/(-20) + (-3)\/(-12). Let r = -58 + f. Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j = 234 - 354 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 4 - a**3)*(-a**2 + 5*a**2 - 7*a**2) - 7*a**2 - a**5 + 7*a**2.\nAnswer: 2*a**5 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/(-3) + (-1)\/(-3). Let p(m) = -4*m + 108. Let n(g) = g - 36. Let i(o) = -6*n(o) - 2*p(o). Calculate i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3712 + 1905 + z + 1367 + 927 - 753.\nAnswer: z + 7158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4444, 8650, 12856, 17062, 21268, 25474?\nAnswer: 29680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/((-32)\/(-45)))\/((-10)\/20)*(-32)\/(-6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 7 - (-22 + 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 43 = -4*x. Suppose 5*w - x + 33 = 0. Which is the smallest value? (a) -3 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from kttvkuvueekult.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 10*u + 361. Give w(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 16*k = 2*b + 12, 2*b = k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888 and 1554?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 408115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 685831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/801 + 5492\/274743. Are 1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*i**2 + 80*i + 24.\nAnswer: 2*(i + 2)*(17*i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 2*d**2 + d - 2. Let f be j(2). Suppose 2*n + 2 = 4*b, -2*n + 1 = b - 12. Suppose 3*k = n*k. What is the closest to f in 2, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + (-15 + -1 - (18 - 34)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 1:00 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:15 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 15. Let p(g) = -2*g - 7. Determine -3*h(d) + 7*p(d).\nAnswer: -5*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039787251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 9*v**4\/4 - 5*v**3\/3 - 11*v - 413. Let f(w) = 14*w**3 - 8*w**2 - 17. Determine -5*f(a) + 8*i(a).\nAnswer: 2*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-1*(3 - 1)). Let i be w\/(-6)*(-14 - 0). What is the units digit of (-1*i)\/(2\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 0*a)*(2*a**3 + 0*a**3 + a**3) + 2 - 35092*a**2 - 42*a**4 + a**3 + 35092*a**2.\nAnswer: -45*a**4 + a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*3 + (-112)\/(-14). Suppose -s + 4*j + 92 = 0, p*s + 4*j - 434 = 74. Suppose -7*i = -187 - s. What is the remainder when 122 is divided by i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -748, -2.5?\nAnswer: -748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 21*p**2 + 5*p + 5. Let s(z) = 4*z**2 + 12*z - 6. Let q(j) = 5*j**2 + 25*j - 14. Let c(n) = -6*q(n) + 13*s(n). Give -5*c(m) + 6*o(m).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*k + 407 = -153*k - 155*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/3 - 7*r**2\/2 + 5*r. Let a be i(-7). Let t be (-28)\/24*4\/a. What is the biggest value in t, -0.5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, 47, -18, -1\/5, -3, 1\/2, 4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1037 is divided by 211.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 164903757.\nAnswer: 1154326299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.3 - 0.7. Let c = u - -4. Let v = -0.4 - -0.3. What is the biggest value in c, 4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6263030 take away 7?\nAnswer: -6263037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3963, 3967, 3973, 3981, 3991, 4003, 4017?\nAnswer: 4033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10210222 (base 3) to base 15\nAnswer: -c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = -21. Suppose -2*n - 5*l + 65 = -19, 0 = n + 3*l - 40. What is the remainder when n is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - 8\/(-1 - 0). Let v = z + 19. Suppose -5*r = v - 155. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 292336 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -8\/7 (b) 23 (c) 1.1 (d) -3 (e) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1193 - 5711 = 0. Suppose -13*m + 7*m + b = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0043521 - 0.076.\nAnswer: -0.0716479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -38. What is the remainder when 93 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-7)*2*-7. Let b(f) = -6*f**2 + 2*f**p + 2*f**2. Let k(d) be the first derivative of -2*d**2 + 1. Calculate b(k(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1573))*-5)**2.\nAnswer: 1650*sqrt(13) + 39550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -29, -53, -87?\n\"Answer: -5*x**2 + x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -20) + 3 + (-1 - -1) + 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 4*f + 20, 50*z - 52*z + f - 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4103730*l**2 + 299*l - 3310 wrt l?\nAnswer: 8207460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 39. Suppose -30 - 882 = 38*t. Which is the fourth biggest value? (a) -4 (b) t (c) g (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/4 + 0 + -1. Suppose -4*l - 8*l = 60. Let c = g - l. Solve -2*m + 22 = -4*v, 4*m + m + c = -5*v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -4, 0.27, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 11*w - 15*w + 0*w to the form l + a*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l + 28*l. Solve l = -3*f + 3*k + 3, 0*k - 23 = -2*f - 5*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -14*w**2 + 6*w - 7. Let m(d) = -14*d**2 + 5*d - 8. Let q(y) = -5*m(y) + 4*n(y). Let u be q(5). What is the greatest common factor of 51 and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -74, -12, -2\/3, -1 in increasing order.\nAnswer: -74, -12, -6, -1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -98444?\nAnswer: -295332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3 - 2) - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099 at most 4097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 15) + (1 - -77) + 9 + 15?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8010263 is divided by 317.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 328 = -3*w, 0 = 5*w - 6*w + 3*n + 120. Calculate the greatest common divisor of w and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y - 3. Calculate r(11).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-12627)\/75762)\/(1\/(66\/7))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -15 - 33\/((-5940)\/(-2080)). Factor -5\/9*r**3 + 2\/9 + o*r**2 + 11\/9*r.\nAnswer: -(r - 2)*(r + 1)*(5*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**5 - 5*h**5 - 6*h**2 + h**5 + 4*h**5 wrt h.\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10136 divided by 2534.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.778825 millilitres in litres?\nAnswer: 0.002778825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19929800 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -236\/805, 19, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.64333286 to 4 decimal places.\nAnswer: -2.6433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.2126 days to milliseconds.\nAnswer: 7362368640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 51*z**2 - z + 13. Is x(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**2 - 1. Is v(3) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 1, w: 1, q: 1, c: 1}. What is prob of picking 1 c, 1 w, and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2)*-4 + 8. Suppose -x + o*x + 2*r = -19, 4*r = 2*x - 2. Is 9 a factor of (-22)\/(6\/x) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -42, -4, 1 in decreasing order.\nAnswer: 11, 1, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**18\/(t*t\/(((t\/t**(-5\/6))\/t)\/t)))\/(t\/((t*t**(5\/4)*t)\/t*t)*(t**(5\/7)\/t)\/t) assuming t is positive.\nAnswer: t**(1627\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -888*d - 2816?\nAnswer: -888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -0.4, 0.31, 4?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-6)\/(-2))*3. Let k(i) = 2*i. Let u(x) = 3*x + 1. Let g(f) = m*u(f) + 5*k(f). Suppose 5*o - 9 = 2*o. Let r(t) = 2*t - 4. Give o*r(q) - 4*g(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45631 (base 11) to base 4.\nAnswer: 100012323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 11. Let p = -19 + 33. Let b be c(p). Sort 4, b, -0.3.\nAnswer: -0.3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, y: 1, p: 2, a: 1, s: 1}. Give prob of sequence qs.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - -98. Which is greater: z or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.7 + -24.7. Let l be 0 + 2 + (-6)\/(-39) + -2. Which is the biggest value? (a) l (b) x (c) -4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40906.562 * 0.5\nAnswer: -20453.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -22*u**2 - 10*u - 16. Let r(x) = -7*x**2 - 3*x - 5. Let o = -235 - -225. Give o*r(b) + 3*y(b).\nAnswer: 4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.084607 times 0.087?\nAnswer: -0.094360809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l*n**3 - 2148*l*n**2 + 2*l + n**3 + 11471*n wrt n.\nAnswer: -24*l*n - 4296*l + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 33, 34, 35?\n\"Answer: f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j*v**2 + j*v - 2*j + 69197*v**2 + v - 787 wrt v?\nAnswer: 4*j + 138394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279109\/26 - 10731. Calculate the common denominator of t and 29\/108.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2792506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*c = 7*c + 4, -2*y - 25 = 5*c. Let b be y - 8*(-3)\/6. What is the third smallest value in -4, 0.9, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232331 (base 4) in base 9?\nAnswer: -16321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1012, 2024, 3036, 4048, 5060?\n\"Answer: 1012*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607743371.\nAnswer: 137, 487, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnznnnzznzzznnzzzn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10 = -4*l, 9*l - 4*l - 10 = 5*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*n = -22, -p = -45*n + 43*n - 3. Let i(x) = -x**2 + 11*x - 19. Determine i(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.1, -28 in descending order.\nAnswer: 0.4, -0.1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -34*m**2 + 2267*m + 18001. Calculate x(-8).\nAnswer: -2311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z = 69 + 98 + 115 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**6 + 2*q**4 - 18*q**3 - 13*q**2 - 4*q - 8 wrt q.\nAnswer: 120*q**3 + 48*q - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 + 12 = 18*o - 190 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*q + 31, 0 = q + 3*c - 4*c - 20. What is the remainder when q is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s - 2. Let i be p(-2). Let x be (60\/5)\/(-3)*-1. Find the second derivative of 6*r**x - i*r - 3*r - 2*r**4 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-70))\/((-2)\/14). Let i = -2 + h. Let l = 1 + -1.1. Which is the closest to l? (a) -1 (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 - 2*z**3 - 4*z**3 + (-z**2 + z**2 + z**3)*(-5 + 3 + 1).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13335934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/31, -8, -9, -770.1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k - 17. Let i(p) = -598*p**2. What is i(r(o))?\nAnswer: -2392*o**2 + 40664*o - 172822","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r, 2*r + 22 = 2*s - 12. Let n be s\/11 + (1099998 - 0). What is n rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**4\/5 - 139036*a**3\/5 + 417072*a**2\/5 = 0.\nAnswer: 0, 3, 34756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let p(u) = 144*u**2 + 8*u + 18. What is p(m(r))?\nAnswer: 144*r**2 - 8*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -u - 0*u. Suppose 0 = -5*w + 3*r + 35, w + 3*w - 6 = -2*r. Find the first derivative of z**u + 2*z**4 - z**3 - w + 2 wrt z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/211, -5\/13, 5, 1\/5, 17.9?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/45 - (-2)\/(-15). Sort -0.3, 2\/7, u, 49.\nAnswer: u, -0.3, 2\/7, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 66 = -35 - 53 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14926.\nAnswer: 2, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -8*q**3\/3 + 181*q**2 + 1258*q. Give l(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*(-3)\/36.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1260357925 to the nearest integer?\nAnswer: 35502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 10*g - 25. Let u be x(3). Suppose -4*h + 14 = -c, 0 = -h - 43*c + 45*c + 7. Put 14, u, h, -5 in increasing order.\nAnswer: -5, u, h, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 52*f\/7 + 176\/7.\nAnswer: 2*(f - 22)*(f - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 2*q**3 - 3 - 3*q**4 + 2*q**4 to y*q**3 + x*q + p*q**2 + g*q**4 + z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 6*f - 7. Let y(u) = u. Let k be (-2)\/(-6) - (-30)\/(-9). Let r be y(k). Let s be m(r). What is the closest to -1 in s, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 2*o - 30, 5*o - 30 = -y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -2 + 6 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 13*l + 16. Solve -2*u - 4 = -l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.535, -0.8, -0.2, 4, 0, -0.5.\nAnswer: -0.8, -0.535, -0.5, -0.2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331990?\nAnswer: 2, 5, 11, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-95))\/((-15708)\/(-40698))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 73. Let f be (1*(-4)\/12)\/(2\/o). Solve -6 = 2*q, -4*g = -3*g - 2*q - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4683 and 1952811.\nAnswer: 1952811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-258)\/(-30)*1*1\/(-3) and ((-380)\/960)\/(-1*(-4)\/(-16)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -4. Suppose 0 = -4*a + 2*z + 100, -3*a + c*z - 5*z + 74 = 0. Calculate the greatest common factor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -8.6556.\nAnswer: 8.2556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, 3, 0, -3 in ascending order.\nAnswer: -176, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s, i + 2*s - s = 2. Determine f so that -4*f**2 + 2 + 0*f**3 - 2*f**5 - 2*f + i*f**3 + 2*f**4 + 4*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56199 and 1287.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430070528.\nAnswer: 2, 1679963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*z + 152. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 153adc?\nAnswer: 153ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -12389*p - 16. What is t(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) + sqrt(160)*-2)\/sqrt(8))\/sqrt(10) + ((-2*sqrt(24))\/sqrt(12))**2*2)*-5.\nAnswer: -80 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 27750*i**2 + 68678619*i + 20463743688.\nAnswer: 3*(i + 344)*(i + 4453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100 less than -2789226322?\nAnswer: -2789223222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/6 - 107*u**4\/6 - 961*u**3\/2 - 20545*u**2\/6 + 686*u\/3 + 44590 = 0.\nAnswer: -70, -26, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d + 1. Let f be r(2). Suppose -2*n = -3*n + 30. What is the highest common divisor of n and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3644, -7 in decreasing order.\nAnswer: 0, -7, -3644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-14)*(-21)\/(-6). Let u(a) be the second derivative of 0*a**4 + 3*a + 0*a**3 + 1\/10*a**5 + a**c + 0. What is the first derivative of u(i) wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -23, -15, -3, 13, 33, 57?\n\"Answer: 2*q**2 - 2*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1804 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + (1*sqrt(5200) - sqrt(5200)))\/(-1*-2*sqrt(4)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = -2*t. Let i be -15 + 7\/4*4. Let z be (21\/9)\/(i\/(-8)). Is t >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 + 0.51. Let p = m - 0.3. Which is the closest to -1? (a) p (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -494 + 215. Let m = -239 - f. Calculate the greatest common factor of m and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -44795.\nAnswer: -44794.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1498\/10 + (-2)\/(-10). Let p(g) = -g**2 + 30*g + 562. Let i be p(43). Suppose -i*v + 156 = -h. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/18 - (-385)\/45. Solve 4*r + f = 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 2*s**2 - 4*s + 2. Let j(l) be the first derivative of -2*l**3\/3 - 3*l**2\/2 + l + 19. Give -3*c(v) + 4*j(v).\nAnswer: -3*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268524799 is divided by 384706?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/430 and -23\/753919.\nAnswer: 7539190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 + -3.03. Let u = c + 0. Let k = -3.00000054 - u. What is k rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-122))\/3)\/(((-101025)\/2694)\/((-300)\/4))?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 19 = 4*y + 13, -4*y + 16 = 2*l. Let w be (-98)\/l + (-8)\/(-32). Let k = 14 + w. Solve -b - 3 = -k, i - 4 = 4*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -9 + 6 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.05 or 2\/297?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -1312, -1940, -2550, -3136?\nAnswer: -3692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-1101)\/3)\/(0 + 1). Let r = -181 - 41. Let g = r - t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 234 = 5*b, 4*b + 64*l - 68*l - 232 = 0. What is the remainder when b is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s - 5*o - 29 = 0, 2*s = -2*o - 26. Let z = 17 + s. Let x = -17 - -15. Which is the closest to -2\/7? (a) z (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaauaaaaaaaaaa. Give prob of sequence ua.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 48*s + 4. Let v be r(2). What is the greatest common divisor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + 5431?\nAnswer: 5405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 6*y + y**2 + 11 + 5*y - y. Let s be k(-5). Solve -s = -5*n - 0*i - 4*i, 0 = -4*n + 2*i + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 8767?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175b41 (base 12) in base 14?\nAnswer: a7477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*w**3 - 1140492*w**2 - 21*w + 1140492*w**2.\nAnswer: 62*w**3 - 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/80 - n**4\/24 + 8*n. Factor f(c).\nAnswer: c**2*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(7)*-2 - sqrt(189)\/sqrt(3)) + -2.\nAnswer: -5*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-6)*(-50)\/(-15). Let s = 33 - c. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 22*l**5\/5 + l**4\/8 + 325*l**3 + 33*l**2 + 16*l + 2. Find the first derivative of f(j) wrt j.\nAnswer: 528*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147*o - 1571 wrt o?\nAnswer: -147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 5:06 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**23)\/m)**(1\/4)\/(m**40*m**26) assuming m is positive.\nAnswer: m**(-287\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 276.38 - 276.38. Which is the fourth biggest value? (a) 19 (b) 1 (c) v (d) -8\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r - 7. Let l(h) = -5*h + 2. Suppose 2*u = -74 + 52. Let v(m) = u*l(m) - 4*j(m). Let a(w) = -w + 7. Let q(k) = -2*a(k) + 3*v(k). What is q(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/5 + 1774688*s**2\/5 - 14197358*s\/5 - 15972048\/5 = 0.\nAnswer: -1, 9, 887336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 2*g**3\/3 - 9*g**2\/2 - 16*g + 156. Let t(n) = n + 14. What is the remainder when t(-6) is divided by a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1386.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5114386 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 15*x**2 + 10*x + 2. What is j(8)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*(378\/35)\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 7*o**2 + 9*o - 7. Let z(f) = f - 1. Let r(l) = d(l) - 2*z(l). Let g be r(4). Let h = -723\/7 + g. Is 1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q. Calculate f(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + (-3 + sqrt(7))**2)*-3 + -5)*5.\nAnswer: -1555 + 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssscscsccs. What is prob of sequence sss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**4 - 1\/4*h**3 + 0 + 0*h + 0*h**2.\nAnswer: -h**3*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15201 + 6031*o - 3015*o - 47612 - 17096 - 3018*o)*(-2*o - 3 + 3) to x*o + u + i*o**2 and give x.\nAnswer: 159818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 33. Let h(g) = -g**3 + 2*g**2 + 9*g - 3. Let m be h(x). Solve -5*l = m - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 8 - 4) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 491517 * -12.\nAnswer: -5898204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -260*t - 6 + 6 + 45. Is x(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -12 - (14 + -7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 2*j**2 + 8*j + 2. Let m be v(4). Let s be 33 + m\/(4\/(-6)). Suppose -3*h = -3 - s. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 231565 divided by -4\nAnswer: -231565\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.591385 rounded to 3 dps?\nAnswer: -2.591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y + 49 = 5*h + 55*y, -3*y + 11 = -1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*b, -3*k - 2*b + 10 = 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 2*x + 5. Let o(z) be the third derivative of -z**5\/30 - z**4\/8 - z**3 + 8*z**2. Calculate 3*c(n) + 2*o(n).\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33938589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 61*g - 34. Let i be h(24). Suppose -3*p = 2*p - i. What are the prime factors of p?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-68)\/(-48)). Let t = x + -5\/34. Is 0 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 84*p**3 + 35*p**2. Let j be (-96)\/56 + (-10)\/35. Let f(q) = -5*q**3 - 2*q**2. Determine j*n(l) - 35*f(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-481\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -96155 divided by 19231\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25713858 by -14.\nAnswer: -12856929\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 2*y**2 - 2*y + 1. Let f be a(2). Suppose f*x + 6 = 7*x. Let u(h) = -148*h - 582. Let m be u(-4). Solve -x*r + r = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by 4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-4 + 29 + -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450825998?\nAnswer: 2, 7, 193, 166849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -66*l**2 - 18*l - 78. Let q(m) = -66*m**2 - 14*m - 75. Give -4*q(x) + 3*s(x).\nAnswer: 66*x**2 + 2*x + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160 + 173. Find the common denominator of 3*(-3)\/40*-6 and (((-6123)\/(-236))\/m - 2)*-54.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117990 divided by -2?\nAnswer: 58995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.2 - 4. Let k = 70682\/5 - 13933. Let f = k + -204. Which is the nearest to 1? (a) -2\/13 (b) m (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -776 - -775.8. Which is the biggest value? (a) 8.1 (b) 3\/4 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeeceeejjjjjejjjj. Give prob of sequence cjj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 27. Let w be n(-19). What are the prime factors of w\/2*(-206)\/(-4 - -3)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6044.000010367 + -6044. Round g to 7 dps.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 4, -2, 22\/3, -3?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0 + 0)*(2*g**2 + 1 - 1) - 3*g**3 - 1 + 1 + 14*g**3 + 54*g**3 - 29*g**3.\nAnswer: 38*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 394\/7? (a) 0.2 (b) -979 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by -4.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12301 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 6*o + 8. Suppose 0 = -3*w + 2*y + 41, o*w + 2*y - 61 = -w. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17585 - 17582. Solve 3*v - 5 = -5*p, 0 = z*p + 9*v - 14*v - 37 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/4)\/(3\/(-24)). Suppose -3*t + 7 + d = 0. Solve -f + 16 = -t*q, -3*f + 2*f = -1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1343783, 1343804, 1343835, 1343882, 1343951, 1344048, 1344179?\n\"Answer: l**3 - l**2 + 17*l + 1343766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Suppose 2*m = 5*p - 33, p + 3*m + 2 + 5 = 0. Let c(h) = 5*h - p*h - 6*h. Determine y(c(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 123*z + 379. Give l(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.703 - -1.933. What is the smallest value in 1\/2, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56160 and 386880?\nAnswer: 3481920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193856447?\nAnswer: 199, 983, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 9:22 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 291650619 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 71, 58, 43, 26, 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 18 = -4*m. Suppose 3*a - m*a + 5 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*b - 28 = 0, -691*b + 10 = 5*n - 693*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 6 - 3)*1\/(-1). Determine m so that 10\/3 + 2\/3*m**2 + v*m = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1. Let p(c) = -c + 2 + 0 - 7. Determine 2*p(m) + 11*x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55877373*r**2 - 72494191?\nAnswer: -111754746*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/17, -0.5, -2\/3?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/11, -5, -1.53, -35?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.56 - -21. Round w to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 1, j: 5, h: 3, x: 2}. What is prob of picking 1 n, 1 h, 1 x, and 1 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/28*4604\/(-3)?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5223.4 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:59 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -272 - -284. Let t = w + -11.5. Let i = 2.5 + -3. What is the third biggest value in -0.02, 0.1, i, t?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = u. Let q = -13 - -15. Solve -3 = q*n - u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h + 10 = 0. Let q = 122 - 27. Let i = 97 - q. What is the nearest to i in h, -5, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((980\/21)\/(-10)). Let o = 60 - 179\/3. What is the second smallest value in 15, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -1.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 3*s**4 + 0*s + (0*s + 0*s + s)*(1 + 6 - 2)*(-14*s**3 + s**3 - 2*s**3) to j + a*s + i*s**2 + d*s**4 + l*s**3 and give d.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30045 is divided by 2495.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9082547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = -22. Suppose -3*o = z - 9, -2*o + s = -2*z + z. Find the second derivative of -4*m + m + o*m + m**2 - 2*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/4)*c)**1*(c*c*c\/c**(2\/5)*c)**(2\/73) assuming c is positive.\nAnswer: c**(509\/1460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) - 555\/(-7). Suppose 0 = 4*p + 8, 2*h = 2*p - 3*p - 118. Let m = x + h. What is the remainder when 62 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 194 + 109 = 0. Solve c*y + 33 = -4*i, 4*i - 5*i + 18 = -4*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 19*k - 17. Let v be c(-18). Let u be 4 + -5 + 13\/v. Solve -5*a + u = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54611319 less than 64?\nAnswer: 54611383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrrsxrrrrrxbsrr. What is prob of sequence rrbr?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 166 - 24*c**2 + 7*c**3 + 21*c**2 - 67. Let h(i) = 16*i**3 - 5*i**2 + 198. Let u(m) = 3*h(m) - 5*q(m). What is the derivative of u(d) wrt d?\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21118841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 - 165*t**2 + 74952*t\/5.\nAnswer: -3*t*(t - 72)*(t + 347)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 268 and 20?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1524845006?\nAnswer: 2, 401, 433, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 + 707*d**2\/2 - 5599*d\/2 + 4893\/2.\nAnswer: -(d - 699)*(d - 7)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-12))\/5)\/((-1)\/3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -556 + 843. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 520914?\nAnswer: -78137.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 6*(-17)\/510*-25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78760000 to the nearest one million.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.5 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 646253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 971 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x)*(-6 + 21 - 74 + (0 + 1 + 0)*(-2 + 4 - 1) + 5 - 4 - 2).\nAnswer: 118*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(486) + (sqrt(486) - sqrt(486)*-4) + sqrt(486) + sqrt(486) + sqrt(486) + sqrt(486))*-1)\/(sqrt(288)*-4 + sqrt(128)*-1).\nAnswer: 45*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3959, 9607, 17057, 26303, 37339?\nAnswer: 50159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c**3 - 7*c**2 - 22*c - 7. Let h(d) = 9*d**3 + 5*d**2 + 15*d + 5. Let a(g) = 7*h(g) + 5*p(g). What is the second derivative of a(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 + 2*k**2 + 3*k - 1. Let c(g) = -7*g**3 + 307*g**2 - 684*g - 5. Let l(u) = -3*b(u) + c(u). Find the second derivative of l(t) wrt t.\nAnswer: -6*t + 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 353*i**2 - 353*i**2 + 118*i**5 + (-7*i**3 + 7*i**3 - i**4)*(2*i + 4*i + 3*i).\nAnswer: 109*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqi when three letters picked without replacement from iqqmq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.28 + -0.02. Let s(r) = r**3 + 7*r**2 - r - 5. Let l be s(-7). What is the closest to -1\/2 in -2, x, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 - 114*t\/11.\nAnswer: 2*t*(t - 57)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 257186?\nAnswer: 257186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 483\/28*(-400)\/300?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -241 from -2.2.\nAnswer: 238.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = 8*b - 5*k + 41, -4*k = 5*b - 58. Solve 26 = -9*r + b*r + 3*t, -8 = -r - 2*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*n + 4. Solve -n*q = 3*l - 1 - 6, -5*l + 25 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.634862 micrometers to kilometers.\nAnswer: 0.000000006634862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h - 2. Suppose 19 = -4*v - 1. Let q be p(v). Let n be 12\/(-8) - (3 + (-68)\/8). Calculate the highest common divisor of q and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 1. Let j(t) = t - 2. Let h be 40*-1*4\/8. Let n be 1 - h\/4 - 3. Calculate n*a(s) + 2*j(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(68) - ((-1*sqrt(68)*1 - sqrt(68)) + sqrt(68)))\/(sqrt(192)\/(sqrt(192) + sqrt(192)*-2)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68507223.\nAnswer: 3, 1733, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -54, -84, -116, -150, -186?\n\"Answer: -z**2 - 25*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 7.92.\nAnswer: -0.3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 + 2.4. Let m = -4\/331 - -27481\/662. Let x = 577\/14 - m. Which is the closest to 1? (a) x (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(176) + 5 + sqrt(176) + (2*sqrt(176) + sqrt(176))*2 + 2)**2.\nAnswer: 952*sqrt(11) + 50913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669500 a multiple of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 672, -29582, -11 in increasing order.\nAnswer: -29582, -11, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 1383 = 0. Let u = -24300 - -24099. Let s = u + x. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.914677mm in meters?\nAnswer: 0.007914677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.45 + 22.45. Let r = k + -24. What is the closest to r in -1\/9, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.170255 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 128b?\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + 5. Let h be (-1 + d)\/((-5)\/(-25)). Let a(z) = -20*z**3 + 14*z**2 + 8*z + 14. Let i(p) = 7*p**3 - 5*p**2 - 3*p - 5. What is h*a(l) + 14*i(l)?\nAnswer: -2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4369027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10007 + 3*j**2 - 10008 + 7*j + 7*j**2 - 8*j**3 + 8*j**3 + j**3. Let b(g) = g**3 + 2*g**2. Let f be b(-3). Calculate n(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s. Let u(f) = f**2 - f - 1. Let z(r) = 3*k(r) - u(r). Give z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*u - 5*q, -4*u = -20*q + 24*q + 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvlv when four letters picked without replacement from lwvvwwwwiwwv.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147596?\nAnswer: 2, 36899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1301.325 + -4\nAnswer: 1297.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-31 - -10 - -21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/7 (b) 0.6 (c) -8 (d) 22 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/49, -0.3, -1.9, -0.15, -19?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 397 = 4*f - 905, 3*f - 980 = 2*j. Suppose 4*p + f - 68 = 0. Let s = -28 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122365952 to seven decimal places.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -7, 13, -5.\nAnswer: -7, -5, -4, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27759235879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -25 times 30\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 285*l**2 + 26775*l - 830875.\nAnswer: (l - 115)*(l - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -381 - -346. Let a = -36.811331 - -1.810251. Let g = a - l. Round g to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -145*p**4 + 100*p**5 + 145*p**4 + 26*p + 32*p**5 wrt p?\nAnswer: 2640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -53.999971. Round z to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + p - 1. Let t be j(5). What is the greatest common divisor of 135 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89797 is divided by 346.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 28 + 14. Let f = p + 90. What is the units digit of (3\/(-4))\/((-12)\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 3. Let g be u(-3). Solve 4 = -g*o - 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvppvppppcvp. What is prob of picking 2 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -815 + 822. Let u(g) be the third derivative of 0 + 0*g**3 + 1\/15*g**6 + 2\/105*g**q + 0*g**4 + 0*g - 4*g**2 + 1\/15*g**5. Let u(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**3 + 5*d + 5. Let n be (36\/54)\/(((-120)\/(-105))\/(12\/14)). Let k(v) be the first derivative of -6 - v - n*v**2. Calculate 5*k(z) + r(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/141512 and 25\/882.\nAnswer: 1273608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10151 + 10153. Let h = 7.7 + 0. Let s = -8 + h. What is the closest to 2 in j, 5\/6, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 6*z**3 + z**3 + (2*z - 2*z - 4*z)*(2*z**2 + z**2 - 5*z**2))*(2 + 2*z + 0 + 0).\nAnswer: 10*z**4 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by 130\nAnswer: 132\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977567 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) - (-5*sqrt(245) - sqrt(5))) + (3*sqrt(5) + 0)*-4)**2.\nAnswer: 194045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035269008 rounded to 7 decimal places?\nAnswer: -0.0003527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (32*(-37)\/(-14208))\/((11\/(-22))\/((-7)\/2))?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i*q**3 + 8*i + 11*q**3 + 2*q**2 + 3*q wrt q.\nAnswer: -24*i + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 8*y + 4539. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + 0 - sqrt(1573)) + (sqrt(13) + 0)*-2)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 4\/3*x**3 + x**2 - 32 + 7*x. What is the hundreds digit of a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 2. Suppose -4*f = k*o - 727, -3*o + 13 - 4 = 0. Suppose 2*u = z + f, -2*u - 722 = -0*z + 4*z. Round z to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 8*t - 36 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlqqqnlsnl. Give prob of picking 1 q and 1 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w**3 - 112*w + 112*w + 94*w**3.\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v - 127*v = 9*v - 1888 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 84*h - 83*h + 2*b, -b - 29 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 f when three letters picked without replacement from ffdddddffdddffdfddif?\nAnswer: 77\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(((-246)\/(-8) + -27)*(-2)\/10). What is the fourth biggest value in q, -5, 47\/35, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 24.\nAnswer: -3, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 793342 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 -9*f**3 - 35490*f**2 + 59301*f + 497070 = 0 for f.\nAnswer: -3945, -3, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15402 greater than 14280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0158 and 0.2.\nAnswer: 0.00316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588*r + 24 - 595*r - 592*r + 1768*r - 24.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -6*p**7\/7 - 43*p**3\/3 - 40. Find the third derivative of d(x) wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 443605851 and 16263?\nAnswer: 16263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11354.3*645.\nAnswer: 7323523.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 14. Let z = -968 + 961. What is q(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 95?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -74, -87, -108, -137, -174, -219?\n\"Answer: -4*o**2 - o - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0.2, 3, -0.053?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 0*d - 5 + 0*d. Let w(z) = z**2 - 6. Let l = -11 - -11. Suppose l = 5*j - 10 + 40. What is j*a(p) + 5*w(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14641 + 14895.68. Let p = 254.80679 - s. Let a = 0.126 - p. What is a rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410*-0.2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**3*p**2 - 2*g**3*p + 218*g**3 + 30*p**4 wrt p.\nAnswer: -10*g**3 + 360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -700*h + 6. Let i(d) = 467*d - 4. Calculate 7*i(v) + 5*z(v).\nAnswer: -231*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 48.\nAnswer: 31\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -875*q + 881*q = 252. What is the least common multiple of q and 308?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1413\/6)\/(108\/24 - 4). Which is the biggest value? (a) h (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -44*p**3 + 98*p**2 + 17*p. Let a(u) = 15*u**3 - 33*u**2 - 6*u. Let k(q) = -17*a(q) - 6*h(q). What is the third derivative of k(r) wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1266 = -16*v + 862. Let j be (-14)\/v - 15966\/(-57). Calculate the highest common divisor of j and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 3, e: 6, r: 2}. Give prob of picking 2 r and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2\/11, 80?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/5936892 and -163\/7410.\nAnswer: 29684460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 151242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (179 - 26)\/(1\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -45, 4 in descending order.\nAnswer: 11, 4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2526540 and 0.08668254.\nAnswer: 2526540.08668254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/525 - o**6\/300 + o**5\/150 + o**4\/60 + 5*o**2. Factor g(v).\nAnswer: -2*v*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 365*q - 1108. Determine t(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -604524 (base 7) to base 2.\nAnswer: -11001000001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(480) - (sqrt(30) - 3*sqrt(120)))\/((sqrt(160) + (sqrt(160) - (1*sqrt(160) + sqrt(160))) - sqrt(160))*2).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 463*z - 1297. Let s(k) = -10*k - 2. What is the lowest common multiple of p(3) and s(-2)?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v. Let u be -3 - (-3 - (1 + 0)). Suppose -2*q + u = -h, 3*q + 2*h = -0*h + 12. Let l(t) = 47*t**2 + 50*t**q - 94*t**2. Give l(a(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25840497 to the power of 1\/2, to the nearest integer?\nAnswer: 5083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-80)\/(-12))\/((-8)\/(-667200)) + (2 - 2). Round o to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, q: 2, z: 9}. What is prob of sequence qvq?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95437 and 13471.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 15, 5, -583 in ascending order.\nAnswer: -583, -5, -4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*2 + sqrt(95))*-1)\/(sqrt(180) - sqrt(180)*-2 - sqrt(180)).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -116441343 (base 7) to base 9\nAnswer: -14774826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1, -8, -4 in decreasing order.\nAnswer: 14, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311*g + 34 = -294*g. Put g, -6, 33 in descending order.\nAnswer: 33, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 2:28 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*s - 65, 5*s - 5*c = 18 + 77. Suppose 3*b = -s + 71. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five quarters of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -44.5. Sort 3, 0.2, p.\nAnswer: 0.2, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkp when three letters picked without replacement from {c: 1, s: 1, z: 1, k: 2, p: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - -5.07. What is the smallest value in -5, u, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -51*t**4\/4 - t**3\/3 - t**2 - t + 16. Let f(c) = -c**2 + 8*c - 1. Let z be f(8). Is 17 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*w + 3*l + 132 = 0, -6*w + 614*l - 270 = 618*l for w.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10010110111010010100?\nAnswer: 10010110111010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 7*b + 5. Let r be y(4). List the prime factors of (r\/(-6))\/(9\/(-78)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.69 times 11.966\nAnswer: -8.25654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -0.003, -2 in descending order.\nAnswer: 206, -0.003, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 30.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -5, -79, -14 in increasing order.\nAnswer: -79, -14, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:11 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -87. Let k = 29709756 - 1389768. Let p be (-1)\/(-4) + k\/g. What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -5. Let c = -158 - -665\/4. What is the common denominator of k\/4*(-36)\/(-8) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, -0.0471, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68\/7051 + -6455579\/7051. Let l be ((-2757)\/6)\/((-3)\/6). Let i = l + w. Find the common denominator of i and -71\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**2*t**3 - 7093*k**2*t + 1194859*k*t**3 wrt k?\nAnswer: 80*t**3 - 14186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (2 + -1)*1. Suppose -2*l - 4*o + 52 = 0, 0*l - 5*o + 47 = m*l. Is (-16)\/(-6)*l\/2 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (238314*w + 234461*w - 489072*w)*(-4 + 2 + 3) + 4*w - 5*w + 3*w in the form o*w + j and give o.\nAnswer: -16295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8616 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 15*k. Let a(t) = 286*t. Suppose 25 = -p + 23. Let f(s) = p*a(s) + 39*g(s). Let h(c) = 2*c**2. Determine h(f(o)).\nAnswer: 338*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 + -5)*-3)\/3. Solve 0 = i - y*i + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18730000 to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2860688 to 4 dps.\nAnswer: 0.2861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (4 + -5))\/(1\/1). Let j be -11 + 14 - (r + 0). What is the derivative of 2*q - j*q - 9*q**3 - 21 + 14 wrt q?\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -11175 by -10.\nAnswer: 2235\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 21 = 5, 0 = -3*s + o - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*m - 4, -2*m + 20 = -7*m. Calculate the remainder when 14 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -10*v + 15*v + 17894, 0 = -3*t - 3*v + 17910. List the prime factors of t.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 51 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 3*s**2 + 2*s - 4. Suppose -10 - 5 = -5*q. Let f be o(q). Let c = 3 - f. Solve 1 + 2 = a + 2*h, -c = -a - 4*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5807 - 42089 + 2108 - 30808 - 14945)*(0*c + 0*c + 4*c**2) to q*c**2 + a + d*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 63*n + 286. Determine g(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.421, 2, -2\/5 in ascending order.\nAnswer: -2\/5, 2, 7.421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70625424 divided by 17656356\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/827310 and 124\/26565.\nAnswer: 5791170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0 + 1\/2*u**2 + 1\/12*u**3 - 1\/40*u**5 + 10*u - 1\/8*u**4 + 1\/60*u**6. Factor t(m).\nAnswer: (m - 2)*(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/(b\/b**45))\/b)*b)\/(b**42\/b))\/((b*b*b**10)\/(b\/(b\/(b*(b**(-23)\/b)\/b)*b)*b*b)) assuming b is positive.\nAnswer: b**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1384, -2992, -4600, -6208?\nAnswer: -7816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 55 = -4*d. Suppose -k = -7*k + 66. What is the greatest common factor of k and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/160? (a) 1\/5 (b) 0 (c) 3\/10 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(-56))\/(42\/(-727592)). Let q = -6489 + m. What is the common denominator of q and 107\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795\/(-742)*(4\/4)\/((-2)\/4).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.15. Let h = o + 3.65. Let x = h + -4. What is the second biggest value in 1\/2, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64642 rounded to two decimal places?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -7*(-14 - -5)\/9. Solve 3*q - 9 = 0, 2*r - 16*q + l*q = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n + 2*n - z, 4*n + 2*z + 2 = 0. Solve -5*o = i + 5, -2*o + 4*i + 1 - 3 = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(3200) + 2 - sqrt(3200)) + (5*sqrt(350))\/(sqrt(7)*1*-4).\nAnswer: -25*sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*s + 1695 + 1573 = -1417 - 14708 for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*b = 39*b - 121*b + 166 - 1362 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1.15292978389?\nAnswer: 4.15292978389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -9. Let x be 3\/(-3) - 9\/(-15). Which is bigger: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/b**(2\/11))))\/b*b*b**(-2\/5))**(-50) assuming b is positive.\nAnswer: b**(-230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607062.\nAnswer: 2, 3, 23, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.05 and 497079520049.\nAnswer: 497079520049.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8599100.\nAnswer: 2, 5, 85991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*m - 7, -5*i - 8 = -11*m + 13*m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:26 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2300 is divided by 2285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = s - 4, 5*s - 12 = 7*u - 6*u. Factor 0*h - 1\/2*h**s + 0 + 1\/4*h**3.\nAnswer: h**2*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 4, -1\/8, 17 in descending order.\nAnswer: 17, 4, -1\/8, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/4)\/(5\/(-4)). Let o = 35 + 1. Let t = 39 - o. Which is the biggest value? (a) 2 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**3\/o))*(o**(-1\/7)*o)\/o)\/(o**(-2))**(-33))**4)**(-3\/20) assuming o is positive.\nAnswer: o**(1347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 10. Differentiate -4*v**m + 23 + 635*v - 635*v wrt v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 512721978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -18*b - 4. Let p(c) = -c. Determine -3*p(r) + y(r).\nAnswer: -15*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-1)\/(-5))\/((-5)\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - a = -4, -4*a + 8 = -6*a. Suppose -5*g = -r*g - 2. Find the third derivative of -9*y - 39*y**g + 10*y - 21*y**3 - y wrt y.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 60. Let r(q) = q. Give g(r(t)).\nAnswer: 2*t + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025523401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdkl when four letters picked without replacement from {l: 5, d: 1, k: 2, h: 5, s: 1, w: 6}?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = -11*t + 627 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*-3*(-2)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 219*q**5 + 15 - 215*q**5 + 2*q**5 - 3*q**5 + 2*q**5 + (0 + 2 + 0)*(-3 - 5*q**5 + 3).\nAnswer: -5*q**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 = 2*t + 3*z - 200, -2*t + 4*z - 2 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -278, -251, -224?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.3, -0.2, -1, -5, -149?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.013 rounded to one dp?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5.95.\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-6))\/(7\/(-273)). Let y be (4 + -5)*-64*1. Let r = y + g. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*f. Let z(u) = u**2 - 2*u - 1154. Let g be z(f). Is 1\/(-1) - (g - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -17. Let x be (28\/9)\/4 + 4\/m. Suppose -6*g + 83 = -x. Sort -2, -3, g in descending order.\nAnswer: g, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 + 451*u + 3872. Give m(-46).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 452320044 a multiple of 4775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*y + 3, 3 + 1 = 4*g - 3*y. Let z = -1.1 - 0.4. Let h = 1.1 + z. Which is the closest to -0.1? (a) -2 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/1392*(-67)\/(7370\/396)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284611571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*k - 930 = 349 + 3661. Calculate the remainder when 563 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h + h**2 - h**2 + 119*h**4 - 74*h**4 + 163 - 47*h**4 as l + v*h**2 + r*h**4 + w*h**3 + c*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 = -0*n. Let -8*z**n - 41*z + 78*z + 4*z**3 - 33*z = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 35. Let r be c(5). Suppose 4*f = -r*f + 1872. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 + 4431054?\nAnswer: 4431222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5923*w - 5922*w - 5*w**2 + 23*w**2 - 4*w**5 - 4*w**5 - w**5 + 3*w**5 + (0*w**2 - 3*w**2 + w**2)*(-2*w + 2*w + w**3).\nAnswer: -8*w**5 + 18*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*i + 40 = 0, -i + 3*i = -w + 8. Solve -2*b + w = 3*y, -b = 3*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 3*h - v, 3*v + 9 = -h. Calculate the remainder when 10 is divided by (-4)\/(22\/(-6) - h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6309322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/14 and 57\/818.\nAnswer: 5726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + 42 - ((7 - 24) + 8 - -11 - 8).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 36*w**3 + 17*w**3)*(45 - 30*w - 45).\nAnswer: 540*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 341416793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68025*w**2 + 84273*w wrt w.\nAnswer: 136050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -886, -1774, -2662?\n\"Answer: -888*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -10679\nAnswer: 1\/10679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48449443*n**2 - 9356460*n + 3 wrt n?\nAnswer: 96898886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*((sqrt(117) + (sqrt(117)*-2 - sqrt(117)))*-5)\/(sqrt(9) + (sqrt(9) - (sqrt(729)*-1 - sqrt(9))) + sqrt(9)))*-1 + -5.\nAnswer: -50*sqrt(13)\/13 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 4:35 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 180834854 - 30.172\nAnswer: 180834823.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -14. List the prime factors of 158\/6 - (-24)\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -53?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7822431.42 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332335 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/24848 and -13\/37272.\nAnswer: 74544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 858*v - 446*v - 48*v**3 - 14*v**3 - 398*v to the form f + s*v + u*v**2 + y*v**3 and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.5 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455578406 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-141)\/(-3))\/(((-32)\/(-4))\/(2*4))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3715*l. Let q(i) be the third derivative of -i**5\/60 + 1788*i**2. Determine q(h(z)).\nAnswer: -13801225*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a - 7. Let h(g) = 16*g - 77. Determine h(w(z)).\nAnswer: 64*z - 189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 9085\/(-25) + 4\/10. Let d = 451 - a. Suppose d = 8*q - 1485. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 6*l**2 + 6*l - 6. Let i(a) = -91 + 85*a - 15*a**3 + 6*a**2 + 6 + 8*a**2 + 71*a**2. Determine -6*i(p) + 85*t(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14418, -14427, -14436?\n\"Answer: -9*f - 14409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Suppose -20 - 25 = -g*w. Calculate the remainder when 43 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*d**2*y - 34*d**2 + 2*d*y - 2*d - 6249*y wrt d?\nAnswer: 32*d*y - 68*d + 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7692*a**2 + 8900*a wrt a.\nAnswer: 15384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 18 = -2*c + 4*c, 0 = 4*c - 4*u + 24. What is the remainder when 9 is divided by c\/(-8) + 63\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1512 divided by 6\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*2\/(-6))\/(-2). Suppose m*t + 2*t - 6 = 0. Let d(p) = t - 2*p - 3. Let w(q) = q. Determine d(w(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, k: 4}. Give prob of picking 3 k and 1 w.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d. Let t(c) = -6*c**2 - 167*c - 130. Let o(y) = -15*y**2 - 417*y - 312. Let k(r) = -5*o(r) + 12*t(r). Determine w(k(h)).\nAnswer: 3*h**2 + 81*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68743.1ml to litres.\nAnswer: 68.7431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 + 5*i - 4*i - 11*i**3 + i in the form k*i**2 + r*i**3 + p*i + z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 79746, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8 = l, 235*l - d - 5 = 234*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 325 and 65.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from vvjrovogojojo?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 3. Let g be u(0). Let v(x) = 3*x**g - 12*x**3 + 9*x**2 + 5*x + 8*x**3 - 12. What are the prime factors of v(9)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.501 - 11363?\nAnswer: -11356.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 - -75. Let d = -58 - m. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8345746, 4 in descending order.\nAnswer: 4, 1, -8345746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7330320 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282844731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*x = -31 + 22, 3*y - 4*x + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*v + 105*v + 111*v + 8577 - 1182 = 0 for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 369537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300216452162 less than -3?\nAnswer: -300216452165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*f - 128*f = 5525 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -9*c + 11. Suppose 680 = c*a + 6*n - 5*n, 173 = a + n. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13425, 107200, 361683, 857226, 1674181, 2892900, 4593735?\nAnswer: 6857038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 415 in ascending order.\nAnswer: -4, -1, 4, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 728 + 2*o - 728. Let y(i) = 299*i + 91. Let m(k) = 13*k + 4. Let h(g) = -91*m(g) + 4*y(g). What is h(t(j))?\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -52\/9, -0.371?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6161*o + 2177. What are the prime factors of c(11)?\nAnswer: 2, 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + 0*i + 3*i)*(3*i**3 - 3 + 3).\nAnswer: -15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 454, 858, 1262, 1666, 2070?\nAnswer: 2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/427323 and -107\/60?\nAnswer: 8546460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 7*d - 20. Let n be u(-12). Suppose 38*a = n*a - 6706. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/15*(6\/(-2))\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1930, -14376, -48166, -113974, -222474, -384340, -610246?\nAnswer: -910866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (6 - (13 - (-9 - -25) - -18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 1 + -10 - (-2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36949 and 3359.\nAnswer: 36949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d + 3*d - 5*d - 2*d**2 + 6*d**2 wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -16. Let l(n) = n + 4. Let p be l(r). Suppose 3*d + p*c = 571, 4*c + 0*c = -2*d + 378. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2381, 1\/5, -3 in ascending order.\nAnswer: -3, -0.2381, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -1.03540849?\nAnswer: -12.42490188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497775?\nAnswer: 3, 5, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1909793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from yffayefiffy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - 2) + 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -44. Let h = 28 - k. Let n(t) = t**3 - 15*t**2 - 18*t + 37. Let q be n(16). Which is the closest to 0? (a) h (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*i = -7*i - 25, 0 = 2*a - 4*i - 30. Find the second derivative of -5*y - 2*y - 3*y - a*y + 7*y**5 wrt y.\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/22*4\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*i - 25 = 5, 0 = 2*r - i - 6. Suppose 0 = -r*b + b + 9. Find the second derivative of 10*d - b*d**3 - 5*d - 1 + 1 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d27 + -1?\nAnswer: 2d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjq when three letters picked without replacement from xxxqjjxqjqxqx?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/44 + 1\/11. Let y = -163.25 + -0.75. Let m = 164.1 + y. Which is the smallest value? (a) -0.3 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Let s be (1 - -5)*8\/(-6). Is ((-187)\/4)\/(z\/s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2030233100100?\nAnswer: -2030233100032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.929476*-0.5.\nAnswer: -8.464738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2914358, -5828668, -8742978, -11657288, -14571598?\n\"Answer: -2914310*c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419151 + 214443*z + 419151.\nAnswer: 214443*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - ((-8 - -27) + 14) - -26 - (-1 - -56)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*k + 27 = 0, 2*k - 3 - 3 = 0. Let u be (s\/(-12))\/((-1)\/10). Let d = 219 - 6349\/29. Sort d, u, 2\/11 in increasing order.\nAnswer: u, d, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34650 bigger than 34650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74380.\nAnswer: 2, 5, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 133 - 118. Let j(l) = 6*l - l**2 - 54*l**d + 58*l**3 - 6*l. Give j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -5, 5, 319, 0 in decreasing order.\nAnswer: 319, 9, 5, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 42405*z**3 + 169614*z**2 + 127191*z - 18 = 0.\nAnswer: -3, -1, 2\/14135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Let n be 6\/u*(-1 + -9). Factor -n*x - 16*x + 33*x - 2*x**3.\nAnswer: -2*x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -10. Let a = -4 + r. Let u = 4 + a. What is the closest to 1 in 1, -5, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*f**2 + 2 + 2*f**4 + 3*f**3 - 3 + 3 - 4 to i*f**4 + t*f**3 + a*f + u*f**2 + y and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*o = 950, 3*g - 485 - 942 = 5*o. Let r = g + -285. Is r less than 187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5f8b + a5?\nAnswer: -5ee6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*1\/6*-4. Let o be ((-40)\/(-15))\/(4\/i). What is the tens digit of 29 - (o + -1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 + 2*m + 2. Let z be l(2). Let k(u) = -3*u**3 - 3*u**2 - 2*u - 1. Let g be k(z). Solve 0 = 3*f + g, 7*h + 5*f = 2*h - 45 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 2*s. Determine r(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Let k = 212 + -121. Let i = 94 - k. Solve 0 = p*s - w + 1, i*s = 3*w + 3 - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-80))\/((-2)\/10). Suppose h - y = -3*h + 19093, 0 = f*h + 3*y - 9557. Suppose 5*r - h = -1599. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1484193 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15601110 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(1759 - 1758)\/(2\/(-92))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*d + 4 = 6*d, 12 = 3*g - 3*d. Let y = -20 - -22. Suppose -l = 2*o - 0*o - 46, y*o = 3*l + 38. Solve z + 4*s = -19, z + g*s = -z - o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*247.67.\nAnswer: 495.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2 + 2*t)*(-93 + 1031*t + 1027*t - 2104*t) to j*t + d*t**2 + z and give j.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by 453?\nAnswer: 424\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 + -23 - (2 - 4)) + 23 - 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, -1, 0.014063?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**5 + 776*v**4 + 4610*v**3 + 9956*v**2 + 9176*v + 3056 = 0.\nAnswer: -382, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**4\/2 - 2*f**3\/3 + f**2\/2 - 2*f + 14. What is m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2400 - 3163?\nAnswer: -5563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(7 - 18 - 11)*(-2*f**3 - f**3 + 0*f**3).\nAnswer: -198*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(-2*sqrt(1008) - sqrt(1008)))**2.\nAnswer: 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from npppppnpnppppp.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 4*r + 5. Let t be p(-2). Suppose -a = t*a - 870. Calculate the greatest common factor of 58 and a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 11. Let l be q(-8). Suppose 2*g + 5*h - 53 = 0, l*h = -4*g - 0*h + 71. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o**2 - 11*o - 9. Let q(i) = -3*i**2 + 3*i + 2. Let x(p) = 2*b(p) + 9*q(p). Let j be x(4). Suppose -j*a - 30 = -6*a. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmsn when four letters picked without replacement from {u: 3, m: 2, s: 1, n: 3, g: 4, v: 6}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.2, -3.5, 20, 0.03 in descending order.\nAnswer: 20, 0.2, 0.03, -3.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-6) + (-1)\/((-3)\/109) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(112) - (sqrt(112)*-3 + sqrt(112) - sqrt(112))**2).\nAnswer: -3024 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -473*g - 1701. What are the prime factors of o(-12)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10797245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*c - 173*c = -130*c + 421 + 833 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1260 + 1265.44. Let o = y - 5.14. Suppose 0 = 4*f + 6 - 22. What is the fourth biggest value in -0.5, 2\/5, f, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 1. Let n be d(3). Let k = n + -6. Put 1, 2\/9, k in descending order.\nAnswer: 1, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*v - 180 = 85*v. Suppose 2*x - v = -7*x. Let b(s) = -3*s**2 + 17*s - 3. Determine b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.96, -2\/7, -1\/25 in descending order.\nAnswer: 0.96, -1\/25, -2\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(630)\/(sqrt(10)*-2) + 2 + 0.\nAnswer: -3*sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from jxsxxxjuxxsxfox?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mejejeeemmmme. Give prob of sequence eee.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -14. Suppose m*q - 179 = 245. Calculate the remainder when q is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425679522?\nAnswer: 2, 31, 22994831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6*m + 6*m - m**2)*(-92*m - 161*m - 155*m + 41*m).\nAnswer: 367*m**3 + 734*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**5*z + 31*p**3*z**3 + 83*p**2*z**3 - 2*z**3 wrt p?\nAnswer: 120*p**2*z + 186*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 7*u + 21, -2*t + 2037*u = 2032*u - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67 + (3 - ((1 - -2) + -1))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.842 minus 0.06?\nAnswer: 171.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x + 2. What are the prime factors of p(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.51 (b) 1.3 (c) -2\/3 (d) -0.01 (e) -2\/7 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5146859?\nAnswer: 101, 131, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:38 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, b: 5}. Give prob of picking 1 p and 1 b.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 384427\/18 - 21364. Find the common denominator of w and (-82)\/(-32) + 5\/10.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.8 - -4.1. Let p = j + 4. Let a be (-2)\/(-40) + 2\/(-8). What is the nearest to -1\/4 in p, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113499.\nAnswer: 3, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6716 = 1034*p - 47042 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103023 (base 4) to base 6.\nAnswer: -5403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1089 - 7b?\nAnswer: 100d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 13 + -10 + (-1 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c - 8. Let a(g) = 165*g - 3. Calculate z(a(f)).\nAnswer: -825*f + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 103. Suppose -2*b + y = 4*q - 7*b, 4*q = 3*b + 53. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708\/3531 - (1353\/121 + -11)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:02 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - (-2)\/(-6))\/2. Let t = -55.8 - -56. Let f = -0.4 + t. Is f bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-28 - -4))\/(12\/(-144)) - (-204)\/(-15).\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.019267 + 0.0195. What is i rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*o**2 - 2673*o + 1318*o + 1337*o to the form c*o**2 + g*o + z and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -33899287?\nAnswer: -4\/33899287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 93120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5165*h - 587. Calculate the remainder when n(-4) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 16 - 12 - (-4 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. Let c = -141227\/241 - -586. Let i = c + 497\/3615. What is the second smallest value in 0.6, 1\/3, i, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(2 + (2 - 2)). Let k be (-10 + 4 + 8)*759\/6. Suppose -t*j - 2*i = -k, 3*j + i - 148 = -4*i. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 25417*y**2. Let a(q) = -q. Calculate w(a(l)).\nAnswer: 25417*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -4, -3, 18 in increasing order.\nAnswer: -21, -4, -3, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/176 and -79\/264.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -44*d**2 - d + 2. Let u be b(1). Let t = u + 59. Calculate the highest common factor of 160 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4227845, -4227840, -4227835, -4227830, -4227825, -4227820?\n\"Answer: 5*k - 4227850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + 1) - sqrt(931)*-1 - (-3 + sqrt(19) + -1 + -3 + (3*sqrt(19) - sqrt(19)))**2) + -3.\nAnswer: -224 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((9 - 69) + -6)\/((-111)\/(-74))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347889 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 22, -2, 11.\nAnswer: -5, -2, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58097573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -120. Let o(d) = -3*d + 3. Let i be o(a). Calculate the remainder when 20 is divided by i - 1 - (-3 + -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13357, 28232, 44627, 62542, 81977?\nAnswer: 102932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/39, -1\/3, -4 in increasing order.\nAnswer: -4, -1\/3, -1\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 divided by 74?\nAnswer: -289\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/6))**(-32\/3) assuming p is positive.\nAnswer: p**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 + 159282*l**2 - 346807044*l\/5 + 37786427448\/5.\nAnswer: -3*(l - 265034)*(l - 218)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 17?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 454 - 454 + 3*d**2. Let u(l) = 19*l. What is m(u(f))?\nAnswer: 1083*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*x + 142*d**3 + d**2*x - 134*d*x + 139*d wrt d?\nAnswer: -6*d*x + 852*d + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4*sqrt(190) - sqrt(190))\/sqrt(10)*3)**2.\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/232 and -111\/942326.\nAnswer: 3769304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 1:41 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from {k: 5, u: 4, c: 4, r: 1, m: 1}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i - 62. Suppose -4*o - 12 = -2*l, 5*l - i = -o + 3*o. What is the greatest common divisor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 3*s**2 + 11*s + 6. Let g be t(-5). Suppose -k - 5*f - g = -0, -2*k - 5*f = 2. Let w(z) = 8*z**3 - z. What is w(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5921.\nAnswer: 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 + x + 0 - 3 + x**2 + 1. Let j(l) = -3*l**2 - 11*l + 9. Let r(o) = -j(o) - 5*y(o). Solve r(g) = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1053) - (sqrt(1053) - (sqrt(1053) + sqrt(1053) + -1 + 3 + sqrt(1053)))))**2 - (3*(-3*sqrt(1053) + 5 + sqrt(1053)))**2.\nAnswer: -28655 + 1566*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9*v**(1\/6))\/(v**(-1))**(2\/11) assuming v is positive.\nAnswer: v**(617\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**2. Let d(o) be the second derivative of -1\/2*o**3 + 18*o + 0 + 5\/2*o**2. Let b(y) = -3*y + 4. Let f(h) = 5*b(h) - 4*d(h). Calculate f(u(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 - 0.34. Let p = g - -0.37. Which is the third biggest value? (a) 0.5 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5227?\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5659?\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/19170 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*x = 6, 0*z - 2*x - 10 = -z. What is the tens digit of z*(-12)\/2*(-2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**3 - k**2 - 6*k + 7. Let j(d) = 3*d**3 + 5*d - 6. Let w = -68 + 62. What is w*j(g) - 5*i(g)?\nAnswer: 2*g**3 + 5*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10071904181479 + 4?\nAnswer: 10071904181483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60281*u + 61379*u - 86096 - 30292 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/4 + 12775*y**2\/2 + 332882*y - 1433712 = 0.\nAnswer: -56, 4, 25602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - -2. Let o be -5*(696\/1218 - (-3)\/7). Which is the nearest to g? (a) o (b) -4 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n + 104 - 104)*(2 - 2 + 2*n**3 + (-1 - 1 - 2)*(0*n**3 - 3*n**3 + 4*n**3)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 82*b**3 + 2*b**2 - 156*b**3 + 74*b**3 - 139*b**4 - 400*b**4 to the form o*b + k*b**4 + y + l*b**2 + r*b**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 1. Let r be q(1). Let c(f) = 3*f**r - 4*f**2 + 0*f - 5*f + 3. Is c(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12055819?\nAnswer: 2767, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 70 = 5*c. Let h = 6 + c. Let s be (-20)\/(-8)*6\/h. Is 0 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2162 divided by 47\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/11 and -41\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1\/3, -1.998, -0.01, -3, -2\/9?\nAnswer: -1.998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from pxwpxxxutwwxuwwxpx.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 95*b - 3. What is the hundreds digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three quarters of a centimeter in micrometers?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-5)*(-30)\/(-36)*3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -27*f**3 + f**2 - 2*f. Let g(a) = a**2. Calculate -g(n) + w(n).\nAnswer: -27*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 208857, 417709, 626559, 835407, 1044253, 1253097?\n\"Answer: -g**2 + 208855*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -3, 3\/5, -11\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - y - 55 = 0, -21*y = -3*m - 16*y + 33. Let a = 16 + -14. Suppose -a*u = -4*u + 108. What is the remainder when u is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 3150*a - 182325.\nAnswer: 3*(a - 55)*(a + 1105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Suppose 3*b - 30 = -5*x + 11, 0 = -4*x + 5*b + 55. Let p(m) = -x*m + 6*m + 2*m - 29*m. Determine r(p(a)).\nAnswer: 1922*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**2*q**2 - 2*f**2*q + 9387*f**2 + 46*f*q**2 - 462*f - 9*q wrt f?\nAnswer: 24*q**2 - 4*q + 18774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.7249 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27)*(25 - (-3439)\/(-133))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20 = -2*n. Suppose -2*w - n = -74. Let s = -11 + w. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.025, 0, 3 in ascending order.\nAnswer: -0.025, 0, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347292 is divided by 799.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48532924*f**4 + 2*f**3 - 493576717*f**2?\nAnswer: -1164790176*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*h - 3*h**2 - 3*h**3 + 3\/2*h**5 + 3\/2*h**4 + 3\/2.\nAnswer: 3*(h - 1)**2*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 * -1\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h. Let b be p(-7). Let y = b - 11. Solve -v - 6 = 3*v + t, -2*v + y*t + 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - t**2 + t**2)*(4*t - 3*t + t) + (-3*t - 2*t + 4*t)*(-89*t**2 + 36*t**2 + 14*t**2) + 5*t**3 - 6*t**3 + 0*t**3.\nAnswer: 42*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.06422+-8163\nAnswer: -8162.93578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/79205 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1413.22 to the nearest integer.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 28 + 152. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 679\/4 + -169. Let v be 9\/(-36) - (-2)\/2. Find i, given that d*i**5 + 9\/4*i**3 + 0 + 0*i + v*i**2 + 9\/4*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxbxqbbqbbbbbb. What is prob of picking 3 b?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5915 = 81*k - 86*k, 0 = k + x - 1177. What is the smallest common multiple of k and 9?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 478\/(-30) + 8\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112010122222220110 + 1?\nAnswer: 112010122222220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 2*s**3\/3 - 14*s - 2. Let n(z) = -305 + 11*z - 304 + 923 - 314. Calculate n(m(t)).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -5) + 8 + -1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - x + 4)*(-1 - 1 + 0) - 12*x + 7*x - 5*x)*(-1 + 1 + 3*x).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1 (b) -3 (c) 0.1 (d) 797.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1113112322 (base 4) to base 11.\nAnswer: -22491a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2350)\/(-94)*(-105)\/(-75).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/28*((-484)\/66)\/22?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.635 - -4.635. Let c = 4.1 + -4. What is the nearest to c in w, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10*g = 520. Let a = g - -259. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 1:49 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.4 (b) -251\/7 (c) 8 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a384 - 126a7?\nAnswer: -20a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 61*i**2 - 124*i - 91. Is x(65) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13\/52)\/((-1)\/(-56)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*w, -4*w - 19 = -4*r + 13. Let v(f) = -18*f + 39. Let c be v(2). Solve -r*m - q + 2 - c = 0, -1 = -3*m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y - 11. Let w be j(0). Let u(i) = -i**2 - 13*i + 11. Let x be u(w). Suppose -x = -c - 8. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -597 + 601. Let k(d) = -6*d + 23. Let n(a) = -7. Let o(j) = y*n(j) + k(j). Let l(r) = 13*r + 9. Calculate -6*l(q) - 11*o(q).\nAnswer: -12*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7218 is divided by 224.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 3 - 3)*(-5*z + 4*z + 3*z) - 2 - 35*z**4 + 33*z**4 - 4.\nAnswer: -6*z**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 1298?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 682 - 572. Calculate the smallest common multiple of 100 and c.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2071*b. Let d(s) = 74*s. Determine 57*d(i) + 2*t(i).\nAnswer: 76*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(15\/(-7) - -2). Let j = 11 - l. Let s be -2*1\/((-2)\/j). Solve -11 = 3*i + s*n - 5*n, -i + 18 = 4*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = 2*l - 42837 + 42737. Suppose -4*f + 3*j = 10, 2*j + 4 = -0. Let c(q) = q**3 + 5*q**2 + 4*q + 4. Let n be c(f). Solve -l*v + n = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6 = 3*n - 0, 0 = 3*n + 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 3526?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1740 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*o - 14*b*o - 86*o wrt b?\nAnswer: 2*b*o - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 (base 16) in base 3?\nAnswer: -110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4\/6 - 5*i**3\/2 + 2*i**2 + 14*i\/3 = 0.\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6615823 + 151?\nAnswer: -6615662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(175)*-6)**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 692, 690, 688, 686, 684, 682?\n\"Answer: -2*l + 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 + 20*g - 215. Give h(-11).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1716)\/195)\/(1\/(-30)). Calculate the highest common divisor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 80?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 587577 less than 587436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 0*i**2 + 6*i**2 + 6*i**2. Let h(f) = 3*f. Calculate z(h(s)).\nAnswer: 99*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -7*m**4 + 75*m**3 + 1877*m**2 + 2301*m + 506 = 0.\nAnswer: -11, -1, -2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:13 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5237415.\nAnswer: 3, 5, 116387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/47*(-44)\/(-26). Let v = a - -14\/47. Let c = 2.47 + -0.47. What is the second smallest value in c, 2\/9, v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**2\/2 - 2*b - 9. Determine t(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -30\/14063543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 373594 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 2, 136 in descending order.\nAnswer: 136, 7, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 - 5*j**4\/12 - 2*j**3\/3 - j**2\/2 + 8*j. Let p(r) = -r**3 - 4*r**2 - 3*r - 4. Let n be p(-3). Give a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j = 49*j - 1350604. Let h = j - 7763881\/23. Let o = h - 91. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j*w**5 + 14*j*w**3 + 19*j*w + 6*j wrt w?\nAnswer: 120*j*w**3 + 84*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 191*q**8\/56 + 119*q**4\/3 + 12*q - 10. What is the third derivative of t(j) wrt j?\nAnswer: 22920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 11:14 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 2*a)*(5 - 5 - 4*a)*(2*a - 4*a + 0*a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0429? (a) 0.02 (b) -876 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735598300 to the power of 1\/2, to the nearest integer?\nAnswer: 61120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l - 30*l + 7*l)*(0*l - 3 - 2*l + 2) to q*l + h + j*l**2 and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26772 - 17316. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 15. Suppose 80 = 4*v - 2*d, d - 78 - 20 = -4*v. Determine o(v).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -518175.\nAnswer: 29\/518175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 230*u**3. Let g(p) = -21*p**3. Let l be (276\/30 + -8)*(-75)\/2. Determine l*g(c) - 4*f(c).\nAnswer: 25*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**3 + 73*d**2 - 36*d**2 - 1818*d + 1818*d - 37*d**2.\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(192) - -1*(sqrt(192)\/sqrt(4))**2)*-2.\nAnswer: -90 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -681*n + 507*n - 1248*n - 44082 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20994 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:26 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/3 (b) -33 (c) 0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Calculate the common denominator of (-67)\/9*(-1 + v) and 357\/(-4)*2\/(-15).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/3)\/(2\/12). Let h(a) = -a**2 - 10*a - 6. Calculate the remainder when 71 is divided by h(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 20 = 4*i, -i - 31 = -4*n - 0*i. Suppose 4*f - 2*y = -n, 2*y = -2 - 2. Which is the nearest to 0? (a) -0.2 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -241530?\nAnswer: 2\/24153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 9*u - 13 + 26.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 10. Suppose -25 = -u*v + 165. Suppose 4*j = 2*g + 6*j - v, -5*g + 55 = -3*j. What is the highest common factor of g and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v - 8*v + 15*v**4 - 6*v**4 + 2*v**4 + v**4 + (-5*v**4 - 2*v**4 + 5*v**4)*(-4 + 5 - 2) - 2 + 2*v**4 + 2.\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-13)*t**(4\/9)\/t)\/((t\/(t**(-2\/23)*t))\/(t**(-16)*t)) assuming t is positive.\nAnswer: t**(-5929\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*g + 5360 + 5644. List the prime factors of g.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1902*u + 3298. What are the prime factors of h(-13)?\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3 - 8*g + 3*g - g - 8. Calculate the remainder when i(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttototttttt. Give prob of picking 3 t.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 32*t**7\/21 - t**6\/15 + 67*t**4\/3 - t + 83. What is the third derivative of j(v) wrt v?\nAnswer: 3840*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 6 - 7) + 36\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115429053 and 11089254.\nAnswer: 2539439166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 512149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrhrrrrrhrhhhrrr. Give prob of sequence rrr.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4*(9 + -3). Let u(o) = o**3 + 3*o**2 - 3*o + 1. What is the smallest common multiple of 10 and u(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -127041 or -127087?\nAnswer: -127041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1587*u**4 + 9*u**3 + 56020*u**2 wrt u?\nAnswer: 38088*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**9\/15120 + t**6\/360 - t**4\/4 - 2*t. Let v(o) be the third derivative of r(o). Find the second derivative of v(n) wrt n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nixjpijk. What is prob of sequence jxp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Give c(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l**2 - 45*l - 1042. Determine t(0).\nAnswer: -1042","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - o - 1. Let g(y) be the third derivative of -7*y**5\/30 + y**4\/4 + y**3 - 10*y**2 - y. Calculate 2*g(w) + 11*s(w).\nAnswer: 5*w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -20*i**2. Let k(v) be the second derivative of v**3\/3 + 14*v - 2. Determine k(s(l)).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17796 divided by 4?\nAnswer: 4449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40\/(-6)*36\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 7*g**3 - 12*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 893332462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {g: 1, m: 1, p: 13}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - t = 42. List the prime factors of (576\/30)\/(t\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2691853*z**4 + 78*z**3 + 958166702*z**2 wrt z?\nAnswer: -64604472*z + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/440*45*6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**3 - 1 + 6*h + 18*h**2 + 7*h - 2*h**4 - 16*h + 3*h + 2*h as x*h**4 + l*h**2 + s*h**3 + v + g*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -18768\nAnswer: -5\/18768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 942 + -942. What is d in -4\/3*d**2 - 7*d**4 + 0*d + 16\/3*d**3 + 3*d**5 + z = 0?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32269 minus 0?\nAnswer: -32269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 0.14261297.\nAnswer: 0.14261297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0.09, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 791 = -771 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -39.16826?\nAnswer: 3.916826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -62 - (-24 + -19 + 6 - -35)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)\/((-12)\/(42\/(-7)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 9558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297552.\nAnswer: 2, 3, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 208d186 - -2?\nAnswer: 208d188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:34 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.5 - 12. Which is the closest to -2\/9? (a) 5 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*r**5 - 16*r**5 + 10 - 13*r**5 + (0 + 6*r - 3*r - 1)*(0*r**4 + 0*r**4 - 2*r**4).\nAnswer: -8*r**5 + 2*r**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -4*h - 2, -z + 1 = -5*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3510 = -6*t. Calculate the highest common factor of 39 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 3*l**3 - 3*l**2)*(-2*l - 1 - 3 + 0) + 2 - 2*l**4 - 2.\nAnswer: -8*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101944662 is divided by 488.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47, 195, 435, 761, 1167?\n\"Answer: -x**3 + 52*x**2 - x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 96549*h**2 + 48*h - 1544784.\nAnswer: -3*(h - 32183)*(h - 4)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 9:29 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.28. Let v be 2*(-654)\/(-14) + 87\/(-203). Let q be (1 - v\/84)\/(3\/(-12)). Which is the nearest to -1? (a) d (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 7*p = 80. Is p less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(21)*5)\/(sqrt(7) - (sqrt(70)*2)\/sqrt(10)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41147761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -34*l**3\/3 - 1908. Let s(k) = -72*k. Give q(s(v)).\nAnswer: -176256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4)*18\/(-9))\/(6\/(-20))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7325 * -5113\nAnswer: 37452725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 43*h = 99*h + 343 + 18, 0*k - 4*h = 5*k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4656*q + 4669*q + 4656*q - 13978*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4675)\/(-33) + (-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:26 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17707 - 17677. Solve -33*b + 23*b = c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 5*v**5 + 5325*v**4 - 60185*v**3 - 1082325*v**2 - 1016820*v = 0.\nAnswer: -1076, -9, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from nnnynnrnyn?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 28*k - 25. Suppose -3 = -3*r + 2*i, -6 = -4*r - i - 2. Let b(h) = h + 1. Let f(g) = r*q(g) + 6*b(g). What is the tens digit of f(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38811 rounded to the nearest 100?\nAnswer: -38800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -23*a + 2. Let v be c(-2). Suppose 3*m = 7*m. Suppose -3*i + 0*i + 24 = m. What is the highest common divisor of v and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123 + -111022?\nAnswer: -103233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8 + 38. Let f(v) = -v**3 - 6*v**2 - v - 3. What is f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.8 + -1.8. Let f = -19.8 - -20. What is the second biggest value in n, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*y - 199, 57 = g + 29*y - 26*y. Let z(p) = 15*p**2 + 2*p + 1. Calculate the remainder when g is divided by z(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.224 and 0.01.\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.566716ms to microseconds.\nAnswer: 9566.716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 - -13 - (-10 - (-8 + 32 + -42))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -62.6. What is the closest to j in -2\/9, 5, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*d + 0 + 0 + 6 + 638*d - 1.\nAnswer: 478*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*w - 82, 0 = -3*p + w + 2*w + 129. What is the remainder when 97 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -3*a, -2*a = -3*u + 1025. Let x be (11 + (-784)\/80)\/(1\/(1205\/(-2))). Let i = x + u. Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 7*y**5 - 25)*(0 - 2 + 0 + (-1 - 2 + 1)*(-3 + 4 + 0) + 3 + 3 + 6).\nAnswer: -56*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -713, -2502, -5487, -9668, -15045, -21618, -29387?\n\"Answer: -598*p**2 + 5*p - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 7*f**2 - 20*f - 1973. Let s(z) = -4*z**3 - 19*z**2 - 62*z - 5919. Let o(a) = -11*j(a) + 4*s(a). Differentiate o(y) wrt y.\nAnswer: -15*y**2 + 2*y - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1060 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l - 114. Let o be u(0). Let b be o\/(-24) + (-3)\/4. Suppose -20 = -b*c, h - c - 15 = -2*c. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l. Differentiate 1 + 2 - 1 + l - h with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**5 + p**3 + 460987*p**2 + 24849044*p wrt p.\nAnswer: 100*p**3 + 6*p + 921974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 13. Let l be v(13). Suppose 3*t - 9 = l, t + 2 = -5*h + 5*t. Is h greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2. Let q(f) = 7*f - 17*f + 9*f. Calculate k(q(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/47, 2, 4, 0.5?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 249*j. Let i(o) = 3*o. Calculate i(a(u)).\nAnswer: 747*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2 - 7*o + 15. Let t be c(6). Let v = t - 61. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -57 - -65 - 52?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4490043, -4490044, -4490045?\n\"Answer: -d - 4490042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 775 and 19449555.\nAnswer: 97247775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 12\/14)*(4 - -11). Let y = 3 - t. Suppose 2\/7*j**3 + 6\/7*j + y*j**2 + 2\/7 = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33696*y**3 - 33697*y**3 - 7 - 6*y + 7.\nAnswer: -y**3 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 17*l + 0)*(-l + 3*l - 3*l) - l**2 + 0 - 1 - 2.\nAnswer: 16*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8368 + 717?\nAnswer: 10186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1032 and 1236271328?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 5*s = -20*g + 200, 180 = 5*g - s. What is the greatest common factor of g and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8367131 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 8:17 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -38b (base 13) in base 14?\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7866 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 6*n**2 - 22 + 2.\nAnswer: 6*n**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6 + 26. Find the second derivative of k*a**2 - 147 + 3*a + 147 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 8)\/((-1)\/2). Suppose -9*m = -p*m + 27. Suppose -2*f = l - m - 7, -2*f - 86 = -4*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.01 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 19720, 1\/2, -1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -3\/8, 18\/11?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19795, -47532, -83211, -126832?\nAnswer: -178395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -60.7. What is the biggest value in 2\/13, 4, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037506 and 1.\nAnswer: -0.037506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/4105 and 32\/45.\nAnswer: 36945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n + 5*n)*(-1 + 3*n + 1 + (-n + 0*n + 0*n)*(-3 + 2 + 0)) + (4*n + 0*n - 3*n)*(-n + 2*n + 2*n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10383 = 3*o, 5*n + 0*n - 12999 = 3*o. Let y = n - 1691. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18 + 7 = 0. Solve -15 = -j*t - 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-3 - (-7 - -23))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 230311, 460630, 690953, 921280, 1151611, 1381946?\n\"Answer: 2*z**2 + 230313*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -90, -179, -268, -357, -446?\n\"Answer: -89*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -18. Suppose 4*p + 0*w - 56 = w, -w = i*p - 48. What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156)*2 - sqrt(156)) + sqrt(156)*-1*-4)\/(3*sqrt(1728)*-5).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b - 1, l + 3*b = 30. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4, 39 - 127 - 146 = -17*z - 2*w for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-4) - 2\/1. Suppose 8 = -n*x + 16. What is the units digit of 71 - (6 + x + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/11, -1, 0.1, 32, 2\/9 in decreasing order.\nAnswer: 32, 2\/9, 2\/11, 0.1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 55894455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 2029?\nAnswer: 19\/2029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 2, -11, -619, -1\/9, 1\/12?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.571 - 14.571. Put r, 1\/4, 7, 2, 8 in ascending order.\nAnswer: 1\/4, r, 2, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**4 - 148*f**3 + 492*f**2 + 7380*f + 13392 = 0?\nAnswer: -3, 12, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a - 1. Let z be h(6). Suppose -10 = -z*v + 30*v. Suppose 18 = m - v*w, -m = 3*m - w - 58. Is 40\/3 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 54. Let o(i) = -2*i - 1. Let q(j) = j. Let k(l) = o(l) + 3*q(l). Determine k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -6) - 10 - (36 + 24)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 102*r**2 - 215*r + 40. What is the tens digit of k(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60541 is divided by 825.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/12*3 + -3. What is y in y**4 - 5*y**2 + 4*y**2 + 2*y**i - 2*y**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 563175 and 4?\nAnswer: 563171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 13.873141\nAnswer: 13.873141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*t + 6, -4*t + 2 = -q - 5*t. What are the prime factors of (0 + 36 + q)\/1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -18 + (3 - -16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 91*x + 4 - 93*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k + 15 = 0. Solve z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10581148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 2*d + 0*d**4 + 4\/5*d**5 - 2 + 0*d**2 + 0*d**3. Differentiate m(n) wrt n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 6*v - 5. Let z be o(7). Suppose 115 = 3*h + 2*t - 71, 0 = z*t. Calculate the remainder when h is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*(m\/(m**(-1\/4)\/m))\/m))*m**(-27\/7))**(32\/5))**3 assuming m is positive.\nAnswer: m**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69762 is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (340 + -4)\/3*(-10)\/(-2). Let n be (3 + -2 - 1)\/(-1). Suppose n = -x + 8*x - v. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187306884 divided by 918171\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/2))\/c*c*c**(1\/7))\/(c**3\/c**3))**37 assuming c is positive.\nAnswer: c**(851\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -23 - 7. Let j be (a\/(-6))\/(30\/36). Solve 4*k**5 + 6*k**j - k**5 + 0*k**5 + 2*k**3 - 11*k**3 = 0 for k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4317213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -115*o - 8. Let r be i(4). Let n = 71993\/11 + -6540. Calculate the common denominator of (-2)\/(-13) - 1215\/r and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 + x**4 - 2*x**3 + (-2*x**2 + 0 + 0)*(x**2 - 3*x**2 + 3*x**2) + ((3 - 3 - 2)*(-3*x**4 + 11*x**4 + x**4) + 0*x**3 + 0*x**3 - 2*x**4)*(5 - 4 + 0).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a + 105\/4*a**4 + 0*a**2 + 122\/3*a**3 - 46. Find the third derivative of v(o) wrt o.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -2*p**3 + 0*p + 184*p**2 + 0 - 1\/6*p**4. Calculate s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 49*g + 34*g + 0*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 6. Suppose -4*p - 16 = 2*x, 0 = -p - 1 - 4. Let i(l) = -4*l + 6. Let y(v) = x*i(v) - 3*b(v). Suppose 3*z = -2*z. Give y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 8*b - 7. Let i(d) = -d**2 - 4*d - 3. Let w(p) = -9*i(p) + 4*v(p). Is w(5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 14*o**3 + 2*o + 5. Let j(a) = a. Suppose 2*z + 2 = i + 1, z = -2*i + 12. Let p(w) = z*j(w) - f(w). What is the derivative of p(n) wrt n?\nAnswer: -42*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6841*c + 2511 = -6883*c + 495 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*f**4 - 33\/2*f**3 + 51\/2*f**2 + 213\/2*f + 63.\nAnswer: 3*(f - 7)*(f - 6)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/6 + f. Let i = 33 + -28. Let c(u) = 12*u**2 + i*u + 16*u**2 - 26*u**2 - 5*u. What is c(p(y))?\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1763610, -3527222, -5290834, -7054446?\n\"Answer: -1763612*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (546\/(-140231))\/((-51)\/2278)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 23.\nAnswer: -64\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51035.\nAnswer: 5, 59, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.138, -0.0392, 742?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f - 1. Suppose 5*z + 4*o = -13 - 14, o + 9 = -2*z. Is 11 a factor of u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 10 + 12 = 0. Suppose 0 = -j*w - b - 33, -3*w + w - 5*b = 45. Let u = 25 + w. Solve -4*v + 2 = u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 4*v + 4*v + 7. Let x(h) = -h**3 - 5*h**2 - 6*h - 3. Let z be x(-4). Let s be j(z). What is the smallest value in -2\/15, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 1557494?\nAnswer: 1557483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 4*h - 2. Let v be y(5). Suppose 2*b - v*b = -43. Let c(k) = 43 - k - b. Determine c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -539*c**5 - 5*c**2\/2 - 130*c + 11927. Find the second derivative of m(u) wrt u.\nAnswer: -32340*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 2*m - 1. Let u be h(-1). Let l be (-2)\/u + 2\/4. Suppose 0 = -3*d + 1 + 11. Solve 0 = -l*q - q - d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/42 - 2*o**5\/35 + o**4\/28 + 12. Let s(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2\/17 (c) 4 (d) -4\/387 (e) 1 (f) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*s + 17*s - 444*s = -24200 for s.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6914\nAnswer: -2\/3457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19643*c - 975053 + 586523 - 854598 = 269383 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 9 - 2 - (6\/(-8))\/((-900)\/6960).\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.5 and -72296585.\nAnswer: -72296594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/360 - c**5\/40 + 5*c**4\/24 + c**3\/3 - 12*c**2. Let k(s) be the first derivative of n(s). List the prime factors of k(9).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.502+2199\nAnswer: 2197.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -251*p. Let r(c) = -50*c. Calculate z(r(h)).\nAnswer: 12550*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11378, -11358, -11338, -11318, -11298, -11278?\nAnswer: -11258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Put m, 2, 0, -4 in decreasing order.\nAnswer: m, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 36 + 27. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041, 3292, 5377, 8296?\nAnswer: 12049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -337*i**4 - 6895*i**2 - 10107*i**3 + 10103*i**3 - 164*i**4 wrt i?\nAnswer: -12024*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**2 + 2*a - 1. Let f be g(1). Let c = -29897\/16 + 1870. Calculate the common denominator of c and 15\/f*(-121)\/(-50).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -163*a**2*m - 2*a*m - 128*m with respect to a.\nAnswer: -326*a*m - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q**3*s**2 + 899*q**3*s + 550*q**3 + 577428*q + 2*s**2 wrt q.\nAnswer: 12*q*s**2 + 5394*q*s + 3300*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15434000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143170541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6029250*x**2 - 7569535*x?\nAnswer: -12058500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -33. Solve -l + d = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -54. Suppose -2*c = -2*a - 10 - 6, -3*c - 3*a = -y. Let r(h) = h**2 - 8*h + 40. List the prime factors of r(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 9*u**2 - u - 17. Determine d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*b**2*t + 1827*b**2 - 2*b*t + 3*b - 10*t wrt t?\nAnswer: 4*b**2 - 2*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -582*v + 441?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*u + 40. Let z(s) = -s**2 + 2. Let x be z(2). Let k be (x + 1)\/(1\/(-8)). Calculate the highest common divisor of u and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142413 + 23?\nAnswer: -142340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122079 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 112. Which is the fourth smallest value? (a) h (b) 1 (c) 2\/3 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*f - 108*f + 142*f + 130*f + 10320 = 0 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -47138142 * -0.06\nAnswer: 2828288.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*m - 104*m + 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 10 = 3*g - 1, 3*b + 5*g = 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/20 and (-35028)\/44240 + (7\/15 - (-2)\/6).\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + 1 - (-2 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-9)*(x\/(x**(-2\/7)*x))\/x**(-1\/4)*(x\/x**(2\/9)*x)**(3\/37)\/((x*x\/x**6)\/(x\/(x**(-5\/3)\/x))) assuming x is positive.\nAnswer: x**(27295\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 39*b + 254. Let d be c(-17). What are the prime factors of ((-48)\/(-15))\/((-2)\/d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/3522 and -127\/1648296?\nAnswer: 1648296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-5)\/((-5)\/(-1)). Let c be a\/(-2)*(14 - 12). Solve -k + c = 5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let y(s) = 551*s**2. Determine y(b(n)).\nAnswer: 551*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314815265?\nAnswer: 3, 5, 41, 241, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 2*z**3 - 4*z**3 + 6*z**3 + 9*z**3 - 11*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 334*y**2. Suppose 38*j = -26 - 50. Let k(n) = -6*n. Let h(g) = 8*g. Let i(b) = j*h(b) - 3*k(b). Give i(a(p)).\nAnswer: 668*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - m - 2*s - 10, 5*m - 46 = -4*s. Let c = m - 4. Solve -6 = -l + c*d, -2*l - 2*d = d + 23 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2746126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -429*s - 2079. Calculate m(-4).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:49 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 15 = 5*p, 5*p - 3*w = 8 + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 50 = -5*x, -4*x + m = 5*m - 16. Let r(l) = -4*l**2 + l**2 + 95 + 3*l + 9*l**2 - 7*l**2 + 3*l. Let y be r(-7). Solve 0 = -y*i + x - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**2 - 5*z + 5. Is y(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5))**(9\/11)*o\/o**(-7)*o**(-1\/4))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -225. What is the remainder when 1043\/3 - f\/(-108) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-27) - (26043\/(-27) - 1). What is the greatest common factor of i and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1904 - 2841. Is (9\/12)\/((-3)\/(p + 1)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d + 11*d - 2189493*d**3 - 599978*d**3.\nAnswer: -2789471*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 59\/1024?\nAnswer: 59\/1024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005933 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 23*b**6\/40 + 11*b**5\/30 + 20*b**2. What is the third derivative of z(w) wrt w?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 30 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f**5 - 86*f**4 + 274*f**3\/3 + 1498*f**2\/3 + 448*f + 120 = 0.\nAnswer: -15, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, q: 3, d: 2, m: 4, e: 5, a: 1}. What is prob of picking 1 m, 1 a, and 1 t?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23982408295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 - s + 3. Let f(i) = 5*i**2 + 5. Let n(h) = 36*h**2 + 36. Let q(g) = -15*f(g) + 2*n(g). Let a(l) = -4*d(l) - 3*q(l). Give a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 1 (c) -1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 3*r**6\/65 + 21*r**5\/130 + 8*r**4\/39 + 4*r**3\/39 + 19*r. Let p(m) = 0. What is m?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/75)\/(4\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-15))\/(h*h*h**(16\/7)*h*h) assuming h is positive.\nAnswer: h**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6 = 0, 0 = -2*n + 5*n - 5*d - 7223. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198196899 take away 0.1?\nAnswer: -198196899.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 - -0.24. Let t = -0.32 + 0.02. Sort -2\/7, f, t.\nAnswer: t, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2955 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790138 - 570349 = 81*a - 1585782. What are the prime factors of a?\nAnswer: 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2 + 2*n - 5. Let j be v(-5). Suppose 0*r = -5*r + j. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-27)\/12))\/(99*(-71)\/(-1201959))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/(11\/28)*6\/(-3)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -25*h + 2070. What is the lowest common multiple of 8 and h\/(-184) - (-2)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from {k: 6, u: 5, d: 4, n: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15380 + -8699. Is 131 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 8 = -3*l + 1, -4*f + 16 = -2*l. Let k = -123179\/6 + 22064. Let x = k + -1534. Put -0.4, f, x in descending order.\nAnswer: f, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 - 5*m - 3. Let f be g(5). Let x be 3 - (1 - -4) - f. Let q be (0 - x\/(-2))*4. Solve 12 = -3*i, -i = q*b - 2*i - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 32120165?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1038 and 7710.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let w(t) be the second derivative of 5*t**3\/6 - 7*t**2 - 213*t + 2. Calculate w(h(m)).\nAnswer: 10*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(320\/208)*2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468645089?\nAnswer: 11, 19, 43, 52147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 6*w - 27 = 0, -4*h - 54276*w + 54280*w - 40 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 j when three letters picked without replacement from axuxunnnnnnnanjunnn?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 13. Let c = -21.072 + v. Let z = -0.1 - c. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12770 - 4277947\/335. What is the common denominator of -33\/50 and f?\nAnswer: 3350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159 divided by 7317\nAnswer: -53\/2439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + 27*n**2 + 15*n - 33. Let p be l(14). Let u(h) = -h**2 - 16*h + 13. Calculate u(p).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h - 3*h**3 + 7*h + 2 + 9*h**4 - 2*h**2 - 11*h**4 to y + d*h + l*h**3 + a*h**4 + r*h**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -401 - -397.41. Let s = -2.25 - d. What is s rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28852*o**2 - 28854*o**2 - 28856*o**2 - 50*o + 86564*o**2.\nAnswer: 2*o**2 - 50*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 66. Suppose -3 = m + r, 8*r - 5*r = 4*m - f. Suppose -3*k + 270 = -5*d, -4*k + 5*d + 175 = -m*k. List the prime factors of k.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1120?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*l = 37*l + 41*l + 39*l + 518 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 4*p**2 - 2*p + 2. Let c be l(-4). Suppose -u + 4 = -c. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 + 18. Let q(k) = 1. Let v(i) = -2*c(i) + 36*q(i). Let p(y) be the first derivative of y**3 + 16. Give p(v(o)).\nAnswer: 192*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s + 2. Let r be t(1). Suppose r = -4*q + d + 14, 0*d - 2 = -2*q - 2*d. Suppose 0 = 2*u + g - 1404, 0 = q*u - 4*g + g - 2097. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 748 and -32.571.\nAnswer: 715.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*b - 24. Let w = b - -5. Let k = -462 - -9700\/21. What is the second smallest value in 3\/2, k, w, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 + 12. Suppose -2*n - 18 = -2*q + q, -4*q = -2*n - 48. Calculate the greatest common divisor of w and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 643368879 and 500398017?\nAnswer: 4503582153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, 1 k, and 1 v when four letters picked without replacement from {k: 2, z: 2, f: 1, d: 2, v: 2, i: 5}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/15 + 2*46\/10. Let h(f) = -f**2 + 11*f - 12. Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = -4*f - 28, 2*f - 7 = t. Let c = t + 9. Suppose 5*y + c*o = 29, 2*o + 0*o - 14 = -2*y. Solve -3*w - 3*q + 6*q = -6, 20 = -y*w - 5*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n = -8*n - 298 + 103 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, j: 2}. What is prob of sequence gg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-4)\/(-4))\/(0 + -21).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 268, 5, 57 in descending order.\nAnswer: 268, 57, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 + -371.5. Let i = n + 363.99999833. Round i to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-3) - (-1)\/(-3). Suppose 3*v + 4*j - 13 = 0, 5*v = 1025*j - 1020*j - 25. Sort 3, b, 8, v in descending order.\nAnswer: 8, 3, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1042603 - 2?\nAnswer: -1042605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 10:23 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**13\/((q*q*q**12)\/q)*q*q**(-4)*q**13)**37 assuming q is positive.\nAnswer: q**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 45 = 5*t - a, 0 = 5*a. Let x(p) = p + 14. Let o be x(-8). Solve -3*l + t = -o*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10033 + -10036. Put q, -73, 4 in decreasing order.\nAnswer: 4, q, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 19 = -5*c + 3*u, -c + 4*u - 19 = 0. Let p be c + 4 + 16\/4. Solve 0 = -5*f + 3*k - 3, 2*f = -3*f - p*k + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let p(h) = 65 + 331 - 392 - 34*h. Give p(s(t)).\nAnswer: -68*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shochshscsddowc. What is prob of picking 2 c, 1 o, and 1 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 2 + 1)*(1 + 1 - 3) - 5 - 2 + 3)*(6 - 6 - m)*(4 + 2 - 4 + (-2 + 1 + 0)*(0 + 0 + 1) + 2 + 2 - 2 + 1 - 1 - 1) in the form x*m + l and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/o**(10\/3))\/o)\/o*o*o**(-8))\/(o**4)**(-1\/2) assuming o is positive.\nAnswer: o**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 448.0000414 - 448. What is h rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 657 (c) -348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126*(-5)\/45*2)\/(20\/15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 13, l: 3, e: 2, n: 1}. What is prob of sequence eyy?\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -546.7916583 to zero dps.\nAnswer: -547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67138169\/552 - -121627. Calculate the common denominator of 187\/30 and p.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3953423 - 0.3953. What is z rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 9:48 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 64 = -2*q, q - 3*j = j - 26. Let l be 5\/(-35) + q\/7. Let c = l - -8. Solve c*h = 3*z - 0*z, 0 = h + 2*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 71 = 2*k, 4*i - 36 = -2*k - 0*i. Let d(j) = -k*j + 12*j + 10*j. Let c(p) be the first derivative of -p**2\/2 - 8. Calculate d(c(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9))\/((-8)\/4896*8)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - v + 3*v + 1, -3*g - 2*v = -17. Let m(l) = -4*l - 1. What is the remainder when m(-2) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 28*q + 45. Determine d(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 1333*k**7\/42 - k**4\/4 - k**3\/3 + 195*k. What is the third derivative of y(j) wrt j?\nAnswer: 79980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/19 (c) 5 (d) -0.5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 15*d + 2989. Let g(c) = 11*c**3 + 4*c**2 + 4. Let f be g(3). Let k = f + d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55272 - -105727. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274957501 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -30.8?\nAnswer: 61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 7*f + 4*u - 4, f - 3*u + 19 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j + 1. Let g be -3 - (-5)\/(-4)*2176\/1360. Let w(i) = -26*i - 2. Calculate g*x(q) - 2*w(q).\nAnswer: -13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-6 + 3 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + (sqrt(637) - -2*sqrt(637)) + sqrt(637) + 2 + -2 + 4*sqrt(65)\/sqrt(5) + 1)*-1 + 0)**2.\nAnswer: 78*sqrt(13) + 19774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8*h = 308. Find l, given that -3*l + 77 - h + 6*l**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 6*b**3 - 8*b**2 - 6*b**2.\nAnswer: 6*b**3 - 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/18834 and -50\/1533?\nAnswer: 131838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14649580 or 14649584?\nAnswer: 14649580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 5*c**4\/8 + c**3\/3 - 2*c**2 - c. Let a(o) = 5*o + 1. Determine -8*a(p) + 3*m(p).\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2416 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19611 and 5796140?\nAnswer: 52165260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -29\/5, -8, -1?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2691 - 1338 - 1369 - 4*x. Calculate c(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-42)*540\/175 - 6?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:23 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 217\nAnswer: 132\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 34 = 1. Suppose -540 - 440 = -g*s. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -11486.\nAnswer: -11485.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-5)\/(-15))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(((-1)\/2)\/((-235)\/470))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrmlrmlm. Give prob of sequence rml.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000210496 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhhwwwwwwwhqqq. Give prob of sequence hww.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88826709951\/9003165256 - -7000\/1310123. Let f be (-874)\/4295 + (-24)\/(-120). Let c = x - f. Calculate the common denominator of c and -63\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021797739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -76, -66, -52?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*n - l - 153, 3*l = -15. Suppose 0 = a - 18 - 488. What is the greatest common divisor of a and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 + 4*d - 3. Give n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*s + 6391*s + 39261 - 325109 - 75282 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 1094 = -y + 3563, 4677 = y - a. Suppose q - 4*n + y = 0, -15166 = 4*q + 3*n + 3505. Round q to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*m**4 - 1\/2*m - 1\/4*m**5 + 0 - 7\/4*m**2 - 9\/4*m**3.\nAnswer: -m*(m + 1)**3*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 4*d**6\/5 + 95*d**3\/6 - 125*d**2. Differentiate c(r) with respect to r.\nAnswer: 288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 2 = y + 5*t, 0 = 2*t + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**5 - 15*l**4\/4 + 28. Factor g(h).\nAnswer: 5*h**3*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61393 is divided by 1401.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/(-18))\/(1\/(-20)). Let i = a - -82. Put i, -5\/2, 1\/14 in decreasing order.\nAnswer: 1\/14, i, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = -60 - 55. Solve l*a = -0*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = -4*p + 2*m, -12*m + 245 - 419 = -3*p for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 11*t - 14. Let v be i(-9). Find the common denominator of ((-4)\/22)\/((-30)\/(-85)) and 464\/(-1020) - 0 - v\/(-20).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96755 is divided by 13820.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2 + 1667*s - 107109. What is z(60)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 127 = 25. Suppose -2*u + o - 71 = 0, -7 = 5*o - 2. Let k = u + l. Solve -3*d + k = -0*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 859.3 - 754.3. Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, -4, 42\/6355 in decreasing order.\nAnswer: 0.1, 42\/6355, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 - 9*z**3 + 13*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 97 - 21 - 20)*(0 + 0 + s).\nAnswer: -126*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2495\/209 - -129\/11. Find the common denominator of 2\/(-8) - (-215)\/12 and m.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74519?\nAnswer: 43, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*x**2 - 72*x**3 - 113*x**2)*(x + 3*x**2 - 15 + 17 - 23*x**2).\nAnswer: 1440*x**5 - 72*x**4 - 144*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8 = 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhhhmhhhhhxxhmh. What is prob of sequence hhhx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 2:36 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 - -125. Calculate the least common multiple of 87 and o.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*sqrt(20)\/sqrt(4)*5.\nAnswer: 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 15505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - (-618)\/24. Let f be (-3 - -4) + (k - 1). Let y = f - 11. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -849 or 630\/799?\nAnswer: 630\/799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zbzb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*o + 377 + 1352 + 3791 = 1164 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 16*h - 123, -42*j - 20 = -2*h - 38*j for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 455 = -36 + 67 for o.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62814687 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 130, -0.4, 5, -150?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:19 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 104 - 3196?\nAnswer: -3092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.185 * -20.\nAnswer: 63.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:53 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -132.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2 + 6. Let y(h) = -15*h**2 - 13. Suppose -4*r - 7*x + 3*x = -1000, r = -4*x + 238. Let q = r + -260. Calculate q*y(v) - 13*b(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50113842*b**5*r - 2*b**2*r**3 - 1536066*b*r**3 + 5*r**3 wrt b?\nAnswer: -1002276840*b**3*r - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 c, and 1 k when four letters picked without replacement from {k: 2, s: 1, c: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in sixty-one quarters of a microgram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128345 is divided by 128314?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 599237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2168.4 - -2168. Which is the nearest to -2? (a) -1 (b) -21\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2044 + 42443?\nAnswer: 100042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zogzffooo. What is prob of picking 1 o, 1 g, and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 13 = -3*m - 3*w, 5*m - 4*w = -10. Suppose 2*s - 289 = -3*u + 2*u, 0 = s - m*u - 157. What is the highest common factor of 42 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.98 - 0.02. Let j = 21\/4 + -11\/2. Let i = -1.6 + 2. Which is the nearest to j? (a) q (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**5 - 68*a**4 - 312*a**3 - 560*a**2 - 352*a.\nAnswer: -4*a*(a + 2)**3*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g = -2*p - 3, 5*p + 24 = 4*g. Let a be (-12)\/8*(-2 - p). What is the second biggest value in a, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000108 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**6\/300 - y**5\/25 + y**4\/12 + 13*y**2\/2 + 1. Let r(a) be the second derivative of b(a). Find n, given that r(n) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16 and -32696655.\nAnswer: -32696671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, e: 9}. What is prob of sequence ekk?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -173614, -346628, -519642?\n\"Answer: -173014*v - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11291 is divided by 480?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 times -0.2?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -284 + 161. Let b be v\/(-164) - (-398)\/(-488). Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -20*h + 2. Let x(l) = -2*l**2 + 1. What is i(x(v))?\nAnswer: 40*v**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7 + 2 - 3*b + 1. Let h be (558\/930)\/(1\/5). What is j(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:32 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = -x. Let n(a) = -7*a - x*a + 7*a. Let v(q) = 19 + 13*q**2 - 3 - 8 - 8. Give v(n(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10122 + 4?\nAnswer: -10117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14053657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87 times 62?\nAnswer: 53.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45641047637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, -43, -147, -297, -493, -735?\n\"Answer: -23*f**2 + 11*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 706\/1211 + -2\/173. Sort -5, l, 2\/7 in descending order.\nAnswer: l, 2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 5811*o + 5093280.\nAnswer: -3*(o - 2592)*(o + 655)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 179. Let g be i\/490 + 1\/7. Which is bigger: g or 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 13*n**3\/6 - n**2 + 2*n. Let s(x) = 6*x - 1. Let c be (-550)\/(-555)*6 - ((-280)\/(-370))\/(-14). What is c*j(q) - 14*s(q)?\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/58*4\/(-6))\/(((-63)\/27)\/(-7))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*r - 266, 7*c = -3*r + 9*c - 399. Let y = r + 213. What is the highest common factor of y and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 7*u - 3*u = -72, 5*r + 0*r + 4293*u = 4288*u - 82 - 33 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5 = -3*p, 0*w + 3*p = -w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/((-268)\/1675*10\/(-8))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 2, n: 14}. What is prob of sequence nvtv?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.152, -6, 1\/2, 0, -4 in increasing order.\nAnswer: -6, -4, 0, 0.152, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((-70)\/(-1295)*2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -710, -1418, -2126, -2834?\n\"Answer: -708*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*r = -9 + 1, 4*n + 3*r = 23. Suppose 0 = 2*c - 0*c - 4*s + 8, n*s - 15 = 0. Suppose c*y + 11 - 55 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - z**2 + 4*z + 6. Let d be u(-4). Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 150*z**2 + 240*z - 1120.\nAnswer: 5*(z - 2)*(z + 4)*(z + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97.1 + -91. Let i = 1.1 - r. Let m = 73864\/3 - 24621. Which is the nearest to m? (a) i (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 33 - 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -5\/3*d**3 - 1\/12*d**4 + 0 - 11\/2*d**2 - 6*d. Let h be w(-8). Solve -10 = 3*m - r, 5*m - 2*r + h = 2*r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.098, 142, -248 in increasing order.\nAnswer: -248, -0.4, 0.098, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -221, -46, 365, 1090, 2207?\nAnswer: 3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241649 and 1169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.18 + -13. Let v = 0.14514 - 0.10514. What is the third smallest value in v, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 6 + 21 - 17. Let b(j) = 9*j + 5. Suppose 5*g - 3*f + 2 = 0, -3*g + 9*f = 4*f + 14. Suppose 5 = -o + u + g, 0 = 5*u. Give o*b(s) - 7*w(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 555\/7. Let x = 0.397 + 0.103. What is the closest to 0.5 in -0.5, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628837433?\nAnswer: 7, 19, 509, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**4\/4 - 4*g**3\/3 + 3*g**2 + 6*g + 1. Let r be t(5). Suppose -4*a + 23 = -r. What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103420 - 111?\nAnswer: 103305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 42. Let z = 84 - f. Suppose 2*p + 2*b - 4*b - z = 0, b = -p + 17. What is the highest common divisor of p and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90.059 > -8.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 8*y**2 + 9*y + 1. Let t be o(9). Let f(u) = -u**2 + 2*u + 5. Let g be f(2). Is g <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -58, 1, 4, -1.\nAnswer: -58, -7, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11250 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 7*k - 7. Give d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 6. Which is the third biggest value? (a) -3\/8 (b) h (c) 0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*q + 58*q - 118*q - 10)*(29 + 1 + 35).\nAnswer: 65*q - 650","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 - 61200*f**4 - 1103900*f**3 + 8336400*f**2 - 11767680*f = 0. What is f?\nAnswer: -24, 0, 2, 4, 12258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 8 = -37. Let b(m) be the first derivative of -3\/20*m**5 - 1\/16*m**4 + 1\/6*m**d - 4 + 0*m**2 + 0*m. Factor b(a).\nAnswer: -a**2*(a + 1)*(3*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1223200431?\nAnswer: 1223200422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56955837 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/2*18\/(-36).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182801045911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71370 + -570951\/8. Find p, given that -3\/2*p + 0*p**2 + 0 + j*p**3 - 3\/8*p**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -108. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 27*m + 53. Let u be j(25). Differentiate 22*d - 9 - 10 + u*d - 1 with respect to d.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 288.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2981834.86 to the nearest ten thousand.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387008 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 3.98. Let i = -1 - r. Which is bigger: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*d = 24840, 71*d - 70*d + 18629 = 3*y. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 36. Suppose -a = -5*n - 2. Let d be n\/(-8) + 10\/40. Solve d = -3*o - 5 - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a tonne in grams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 242904*b + 485807\/2.\nAnswer: (b + 1)*(b + 485807)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -384.217 + 384. Let b = 21.017 + n. Round b to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -3\/4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.2 and 7.\nAnswer: 36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(68) + 2*sqrt(68))*3*1)\/((sqrt(120)\/(sqrt(12)\/sqrt(4)))\/sqrt(10))*4)**2.\nAnswer: -132192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w + 2*w)*(0*w + 3*w - 5*w)*(3 + 4 - 5).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 3*g + 3. Let c be l(-1). What is the third derivative of -155*s**6 + 12*s**2 + 157*s**6 - 42*s**c wrt s?\nAnswer: 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10933*j**4*y + 3*j**2*y**2 - 4933555*y**2 wrt j?\nAnswer: 43732*j**3*y + 6*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10455606067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1232863 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/12 + d**3\/2 - d**2\/2 - 6*d. Is k(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26076, -17, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7691 - 7689. Suppose -25\/3 - 1\/3*v**o - 10\/3*v = 0. What is v?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfqoqboofo. Give prob of picking 1 q and 1 f.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 31805949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.7699586 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686972565.\nAnswer: 5, 1993, 269641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 4*h + 0*h)*(1 - 1 - h**2) + h**3 + 3 - 3 + 4 + 2*h**2 + 10 - 3*h - 12 + 31*h**3 as u*h**2 + a*h + t*h**3 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 231 + -223. What is the tens digit of ((-2046)\/w)\/(153\/(-816))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-144))\/((-28)\/1008*-54).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, x: 2, f: 7}. Give prob of sequence fxi.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t - 68 + 475. Solve -t*l + 13 = -9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - -9)\/((-1)\/2). Let r be ((-2)\/f)\/(12\/96). Which is the closest to 2\/3? (a) r (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let f be z\/(-3) + 65\/15. Suppose 5*c = -f, -c - 26 = -2*g + 21. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1641*h**2 + 13023*h - 10758. Determine u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:27 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.02. Let v be 5548\/(-24) + ((-10)\/(-2))\/30. Let i = v - -461\/2. Which is the smallest value? (a) i (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -15. Suppose y*a + 12 = 13*a. Let l be 78\/a + (-2)\/(-4). Calculate the highest common divisor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 584913 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(u) = 1. Let k(y) = -y**2 + 6*y - 3. Let q(z) = -4*g(z) - k(z). Let b be q(9). What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.128 - 826867107.9.\nAnswer: -826867108.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3561, 5798, 9527, 14742, 21437, 29606, 39243?\nAnswer: 50342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326, 1262, 2752, 4736, 7154, 9946, 13052?\nAnswer: 16412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -79 + 127 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -54\/11 (b) 6 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 308.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 134*k + 667. Give l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 0 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6821283 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 4601*l**6\/30 - 15*l**3\/2 - 27*l**2\/2 - 3*l - 486. What is the second derivative of v(s) wrt s?\nAnswer: 55212*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 88 = -3*l + 5*v, l + 4*v = 30. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*y + 249, -1382*f - 1387*f + 119 = -3*y - 2771*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 8:17 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19258 + 19260. Solve 4*g - 2*g = x*k + 14, -2*k = 5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 101*z - 882. Let s be g(10). Solve 27*b - 55 + s = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {j: 3, r: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(((-217)\/43 - 96\/(-2064)) + 59\/10).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -53 - -52 - (10 - -1). Let q be (325\/90)\/13*m\/(-20). What is the closest to 0.8 in -0.5, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 3*q + 18, -5*q + 4 = 3*d - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8796 + -8743 + (-577)\/11.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 6*z**2 - 2*z - 1. Suppose -5*r = -7 - 3. Suppose 14 = -2*w + r. List the prime factors of i(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 + 24243\/(-55). Let t = 443 + k. Find the common denominator of t and 38\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2474, 9058, 20032, 35396?\n\"Answer: 2195*a**2 - a + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 10:03 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -19*j. Let k(u) = 19872885*u. Determine k(q(g)).\nAnswer: -377584815*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*y + 19*y - 316 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 505380839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 6*i + 5. Let c be u(-6). What is the tens digit of (-6)\/(-15) + 418\/c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.62 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*y = -8, y - 3 - 10 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 9*f - 7. Let v be q(7). Let c = 25 - v. Put c, -5, -9 in ascending order.\nAnswer: -9, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 628*t**2 + 391?\nAnswer: 1256*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 413522717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170*(-25 + (-2016)\/(-80)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12358146, -12358196, -12358278, -12358392, -12358538, -12358716, -12358926?\nAnswer: -12359168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2 + 0*o + 1\/2*o**4 + 2*o**2 + 0*o**3. Find the second derivative of z(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5797 + 5798. Is n > -21\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = j, 5*h = 4*j + 4*h - 2. Suppose 43 + 32 = 3*f - 3*g, j = g - 1. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14)*(-7)\/85. Let p = f - -176\/255. Solve -2\/9 - 2\/3*y**2 + 2\/9*y**3 + p*y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45301281880 to the nearest 1000000.\nAnswer: 45301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2835?\nAnswer: -1\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 + -3. Let f = -1.2 + u. Let z = 26.12 - 26.02. What is the nearest to z in 5, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d**3 + 4131*d**2\/2 - 13743*d - 120285\/2 = 0. Calculate d.\nAnswer: -3, 81\/8, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4243 (base 9) to base 4\nAnswer: -300231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -25. Suppose 3*b + 5 + f = 0. What is the units digit of 1\/(b\/(0 + -204))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**3 + 167*m**2 + 1006*m + 346. Give o(-77).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66599282949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c - 42. Let p(k) = 10*k + 39. Let j(t) = -2*g(t) - 3*p(t). Let r be j(-4). Solve 0 = -5*s - r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**2 + 1376*w - 11553. Determine c(89).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1232 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u**3 + 0*u**5 + 4*u**2 - 1\/30*u**6 + 0*u + 0*u**4 + 4. Let l(o) = o**3 + o**2 - 3*o - 1. Let b be l(-2). Give d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 126*y + 195 + 5352 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534229383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25656650.\nAnswer: 2, 5, 19, 113, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90157 - -90349. Let a(h) = 3*h. Let z be a(1). Calculate the highest common factor of g and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -47.5. Let z = -2525 + 2528. What is the closest to z in h, 0.2, -0.1, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*g + 7336, 4*w - 13*g = -9*g + 5880. What are the prime factors of w?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -10 - 4*x**2 + 35 + 8*x - 46*x. Calculate the remainder when f(-6) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*i + 8087 + 4784. Is 210 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 50042160?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5 + 21. What is the remainder when 31 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o + 10 = 0. Let h = o + 10. Solve 5*b - 15 = -h*t, -3*t - 2*t + 31 = -3*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3627804684 * 5\nAnswer: -18139023420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n. Let o(t) = -50*t**2 + t + 1. Let p(s) = -o(s) - w(s). What is the units digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b - 19. Is g(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 2 + 6*g + 6*g - 27*g.\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 46*i + 519. Let m be j(25). Let s(w) = 3 - 2 + 8 + 2*w. Give s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.01, 7\/5, 3238, 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 14*a**2 - 182*a - 831. What is t(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -3, 20 = -6*m + 156*s - 154*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohihuuhuuihieheueu. What is prob of sequence iueu?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w**2 + 54*w + 24. Let c be p(8). Calculate the greatest common factor of c and 2776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*b + 5, b + 55 = -2*l + 6*l. Let j be (-12)\/l*10\/(-4). Find the second derivative of x**j + 2*x - x**2 + 4*x**2 wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28642518 and 36528.\nAnswer: 4566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/45*(-330)\/44.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210101 (base 3) to base 7.\nAnswer: -3544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3381314, 6762623, 10143934, 13525247, 16906562?\n\"Answer: n**2 + 3381306*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + 0.18. Sort i, 80, -4 in descending order.\nAnswer: 80, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(90)*2).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**43*f**1\/(f**5\/f))\/((f\/f**(-1))**41*(f**(-1)\/f*f)**(-15\/11)) assuming f is positive.\nAnswer: f**(-950\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 25*v**2 - 13*v**2 - 3*v**2 - 13*v.\nAnswer: 3*v**2 - 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -558076960 divided by -428960?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 13.4, 0.28, -2\/3, -11\/80?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24*(-17)\/544*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/90 - 7*m**5\/10 + 3*m**3 - 48. Let j(z) be the third derivative of d(z). Factor j(c).\nAnswer: 4*c*(c - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*l + 145, 6*g - 4*g - 102 = -4*l. Calculate the remainder when g is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 3*r**3 + r + (-r**2 + 0*r**2 + 2*r**2)*(2*r - r + r) + 7*r + 2*r**3 - 7*r as t*r**3 + w + f*r + d*r**2 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**7\/840 + o**6\/72 + o**5\/24 - 5*o**4\/24 - 37*o**3\/3 - 9. Let y(h) be the third derivative of u(h). What is y(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1225 and 0.5.\nAnswer: 612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - (-6)\/21. Let g = 304 + -1215\/4. Solve -1\/4*n**4 + g*n**2 + j*n**3 + 0 + 0*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most as big as 267\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a decade in years?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 9*w**2 - 6. Let x be p(-9). Let k be (-1424)\/(-20) - x\/15. Let z = k + -71. What is the biggest value in -3, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2 - 2*p + 2. Suppose -q + 4 = 2. Calculate c(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1914 by 22.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -671542 or -671544?\nAnswer: -671544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 41*i**7\/35 - 18*i**3 - 9*i**2 + 54*i. Let l(h) be the first derivative of m(h). Find the first derivative of l(d) wrt d.\nAnswer: 984*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1512))\/((sqrt(6) + sqrt(6)*-2)*-4) - (6*(sqrt(21) + -2*sqrt(756))\/sqrt(3))**2.\nAnswer: -30492 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27523530 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times 0.39?\nAnswer: 1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/5087 - -147487\/91566. Let w be (-5 + 185445\/(-100))\/((-1)\/2). Let a = 3714 - w. Find the common denominator of c and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(-63))\/((-6)\/1557) and (-1 + (-16)\/6)*(-15)\/(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:35 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + -4 + (-1 - 1). Let t be 6\/z - (-42)\/9. Let k be 2*((-21)\/6 + t). Let a(o) = 15*o**3 - o**2 + 2*o - 1. What is a(k)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*b**2 + 8537*b*z + 102*z - 1748 wrt b.\nAnswer: -70*b + 8537*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-30)\/9)\/(4\/(-6)). Let q be (-3)\/((-6 - -2) + -2). Let x be -3 - (-4 + 28\/6)*-3. What is the second smallest value in b, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*z + 423467 = -52021. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(3*(-1)\/(-9)). Suppose -t = 2*d - 17. Suppose 3*q = 2*i + 43, -3*i - 35 = -5*q - d*i. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -9*w**5\/20 + w**4\/12 + w**3\/6 + w**2\/2 - 20*w. Let h be g(-1). Let d be 12\/10 + (-6)\/h. Sort d, 1\/2, 0.03.\nAnswer: 0.03, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**4\/7 - 32*o**3\/7 + 192*o**2\/7 = 0.\nAnswer: 0, 8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*j**2 - 10*j**2 - 6*j**2 - j**3 - 14*j**2 - 2*j to d*j + m*j**2 + l*j**3 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -585, -2343, -5261, -9333, -14553, -20915, -28413, -37041?\n\"Answer: h**3 - 586*h**2 - 7*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + ((-3078)\/(-95))\/18. What is the third biggest value in l, 3, 34?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111010101110001 (base 2) in base 12?\nAnswer: -184b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1471 and 107\/44?\nAnswer: 64724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5972*i - 1337*i + 18 - 26 - 9 + 17.\nAnswer: -7309*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 613817089 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 259522?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -5, 26, 0 in ascending order.\nAnswer: -5, 0, 1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*c - 1 - 106*c - 2 - 131*c.\nAnswer: -321*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -941 (b) 8 (c) 2\/3 (d) -124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1343620168 to the nearest 10000.\nAnswer: -1343620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(729\/(-432))\/27. Which is the second biggest value? (a) 15 (b) -1\/8 (c) -26 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 7*t**2 + 8*t + 2. Let g be j(-8). Suppose 5*z + 0 = g*b + 1, 0 = -3*b + 6. Is z*(0 - 0) - -37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 19*w + 34. Let q be j(17). Let z be 1\/(-2)*8\/6. Is z greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4354229, 4354225, 4354219, 4354211, 4354201, 4354189, 4354175?\nAnswer: 4354159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 4 + 45 + -7. What is the third derivative of 180*z**4 - 152*z + 2*z**2 - 5*z**2 - p*z**4 + 5*z**2 wrt z?\nAnswer: 3576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4702 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/(6 + 1054)*580?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 4*j + 2. Let o be r(-4). Suppose 8 = -o*s, -3*s + 988 = p + p. Differentiate -949 - 33*u**4 + p + 476 with respect to u.\nAnswer: -132*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -16, 2, -0.5 in descending order.\nAnswer: 2, -0.5, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28896973, -28896975, -28896977, -28896979?\n\"Answer: -2*h - 28896971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0297 + 0.0297243. Round l to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 smaller than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302*k - 5 = -297*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/96*(-9)\/((-18)\/8))\/(4\/156)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgek when four letters picked without replacement from exkkkkjbgekjg?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9))**(2\/27)*d**3*d\/d**(-1)*d)\/(d\/(d\/(d\/((d**(-2)*d)\/d*d*d)))*d\/d**(1\/3)*(d*d**(-2))**(12\/7)) assuming d is positive.\nAnswer: d**(10259\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z**2 - 11*z**2 + 5*z**2 - 5*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122420 and 560.\nAnswer: 3427760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -432*p**2 - 19*p**4 + 36*p**5 - 22*p**5 + 470*p**2 wrt p.\nAnswer: 840*p**2 - 456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = j + 5*j - 2*j - 84, -3*x - 10*j = -6*j + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 - 125*z + 924. Give s(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -586.65 + 104.95. Let r = v + 448. What is r rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + 5326108.\nAnswer: 5326115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1296, -2343, -3390, -4437, -5484?\n\"Answer: -1047*j - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*128\/(-6) - 0. Suppose 2*s = 3*p - o, 3*p - 52 - 10 = 4*s. Calculate the lowest common multiple of p and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(-2\/81)*g*g**(-2\/9)*g*g\/(g\/(g**(-3\/7)*g*g)) assuming g is positive.\nAnswer: g**(5725\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1 - a - 3*a + a. Suppose 0 = 2*g - 4 + 8. Let k(l) = -l - 4 + 0*l - 7*l. Calculate g*k(h) + 9*w(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 - 17 + 257)*(0*p + 5*p - 2*p)*(-4*p - 5*p + 0*p) in the form c + j*p + v*p**2 and give v.\nAnswer: -5211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = z - 4. Suppose -4*s + 4*j + 7 = 23, 0 = -z*s - 4*j - 20. Let g(p) = p**3 + 7*p**2 + 6*p - 4. Calculate g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 63*f. Let t(b) be the first derivative of 16*b**2 - 2364. Give -2*k(l) + 5*t(l).\nAnswer: 34*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -1. Let n = -0.003 + -0.797. Let s = n + g. Round s to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -928257 - -5?\nAnswer: -928252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 34 + -3 + (-10 - ((-66 - -79) + (-14 - 0)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -1.7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/32)\/((-2023)\/136 + 15)*(-24 - 3).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4790, 3, 4 in ascending order.\nAnswer: -4790, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + h - h - 4. Let p be l(2). Let t be 2 - (0 + -1 + p). Solve -14 - 1 = t*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5197870 to the power of 1\/3, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2505007877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6\/5 (b) -5\/6 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.9 - 11.9. Sort -4\/9, 2, -0.2, m in decreasing order.\nAnswer: 2, -0.2, -4\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70.8 in -1\/18, -1\/5, -4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a. Suppose -4*n = u - 1, 6*n + 3*u - 3 = 4*n. Suppose -3*g - 3 + 6 = n. What is j(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 9. Suppose f + u = 5, 11 = 5*f - 2*u - 42. What is the remainder when i is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.6, 0, -3\/2, 15514\/7, -1, -4?\nAnswer: 15514\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -23*z + 355. Solve 3*a - z = k + k, -4*a + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 593 = 5*z, -5*z + x + 592 = 4*x. Calculate the remainder when z is divided by (-1 - -2)*(-16 - -9) - -31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i = 1550. Let r(l) = -23*l - 4. Let w be r(7). Let b = i + w. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3.1 (b) -3 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 112*f**2 - 639*f + 571. Determine h(5).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6576, 13150, 19722, 26292, 32860, 39426?\nAnswer: 45990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 + 2 + 60)\/((-10)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 4. Let q = 0.2119 - 6.9119. Let m = q - t. What is the second smallest value in m, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/4 - 531*v**3 + v**2 + 2124*v = 0.\nAnswer: -2124, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8 and 297\/77*(-63)\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 3*v**2 - v - 3. Let m(k) = -654*k**3 - 9*k**2 + 3*k - 241. Let x(h) = 3*c(h) + m(h). Find the first derivative of x(b) wrt b.\nAnswer: -1953*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g + w, -2*w = -4*g + 2*w - 16. Suppose 0*n - 2 = -2*n. What is the units digit of (g - n)\/(0 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713613, -1427259, -2140939, -2854653?\nAnswer: -3568401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 - 88*x**2 - 11*x**3 + 88*x**2.\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -114, -174, -232?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 36*m - 64. What is o(-34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2 - 40336*v - 132808338 = 0. Calculate v.\nAnswer: -2881, 23049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -13*v**4\/12 - 24*v**3 - 7*v**2 + 1871*v - 1. What is t(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) -3 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259563538?\nAnswer: 2, 13, 41, 59, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-168)\/(-882) + -1 + 20\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1777 is divided by 468.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/(-198) + (715\/(-4653) - 1\/(-3)). Sort 2, g, -0.1, 0 in decreasing order.\nAnswer: 2, 0, g, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*j - 6 = 0, 7*j = 4*j + 15. Let x = 26 + b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2401361 or -1?\nAnswer: -3\/2401361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 17. Let i be (-1331924)\/y*4\/(-18). Let r = -18504 + i. Find the common denominator of 7\/10 and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:24 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + a = 6*v - 33, 15 = 2*v - 3*a. Let x(k) = k**3 + k**2 - k + 2. Let p be x(4). Let d = p - 44. Calculate the remainder when d is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c - 3 - 13*c**2 + 12*c**2 - 19*c. Let k be g(-24). Suppose -2*s = k - 49. Solve -3*u + 15 = 0, 3 = -4*y - 3*u - s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (-1 + sqrt(1100))**2*-1) + sqrt(110)\/((sqrt(100) + 2*sqrt(100))\/sqrt(10) - sqrt(10) - sqrt(10)) - (-2*sqrt(132)*1)\/(sqrt(1728)*-1).\nAnswer: -55*sqrt(11)\/6 + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) 3\/7 (c) 0.2 (d) -192 (e) 220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4 (c) 33 (d) 2594 (e) 0.1 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -43. Suppose 3*i + 4 = -2*r - i, -2*r + 6 = 2*i. Suppose w + r = -3*g + 26, -5*g = -h. Solve 5*q - w = 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/432 and 133\/288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*z + 12 - 2, 5*z + 5*f = 25. Let t(q) = -30*q + 156. Let w be t(11). Let g = 174 + w. Put z, g, -13 in decreasing order.\nAnswer: z, g, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = o + 142*m - 141*m + 7, 0 = 8*m - 3 + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h + 93*h = -48 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -69003.5 to the nearest one thousand.\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 11*k - 12. Let j = -101 + 88. Determine c(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 7*j**2 - 8*j + 2. Let m be v(6). Is (-108)\/(-20) + 4\/m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*g, a + g - 14 = 3*g. Let z be a*8\/14 + -2. What is the closest to z in -0.2, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -2. Suppose 6*n = 9 + 3. Calculate the least common multiple of ((-6)\/(-10))\/(g\/(-10)) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihu when three letters picked without replacement from {p: 2, i: 2, h: 3, d: 3, u: 4, o: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2457*p + 17203. Give u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.011159 and 73303750.5.\nAnswer: 73303750.488841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53584, 0.7, -59, 1\/5 in descending order.\nAnswer: 0.7, 1\/5, -59, -53584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 7*m**2 - m**2 - 16*m**2.\nAnswer: -24*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.54 + -7. Let g = -0.356 - l. What is g rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -690.06 - -697. Let l = 7 - y. What is l rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 + 2990*m + 14925.\nAnswer: (m + 5)*(m + 2985)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 638 - 3186\/5. What is the smallest value in -0.2, c, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 3*l**2 - 4. Let t be b(2). Suppose -3*g = -7*g. Let o = g - t. Solve -v + w + 1 = -3, 3*v + w = o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from svvvvyvvvsvvvv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = c + 2*c, 0 = 5*c + 3*x - 10. Let h(o) be the second derivative of 0*o**c - 1\/6*o**4 - 1\/3*o**3 + 1\/20*o**5 + 0 - o. Calculate h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*w**2 + 0 + 0 - 87*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -5*m. Let x = 22 - 32. Let w = -9 - x. Which is the closest to w? (a) m (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -15664?\nAnswer: 15657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3392 - -3392.3. What is the third smallest value in 0.4, -4, q, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79981.\nAnswer: 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2645*t**2 + t + t**3 - 3 + 3*t**3 + 2629*t**2 + t**4 - 2*t**3 - 3*t**3 as w*t + l*t**2 + v*t**3 + n + a*t**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -24*v**7\/35 - v**5\/15 + 13*v**3\/6 + 163*v**2. What is the third derivative of c(m) wrt m?\nAnswer: -3456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 0 - -4 - 2. Let n(i) = -53*i + 474. Let m be n(9). Sort 2, m, w, 5.\nAnswer: m, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (184\/230)\/(((-12)\/45)\/(4916\/(-6)))?\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/5 - 46*s**4\/5 - 6*s**3\/5 + 134*s**2\/5 + 92*s\/5 = 0. What is s?\nAnswer: -1, 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 1.79429.\nAnswer: 1.49429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2da04 (base 14) to base 16.\nAnswer: -1bf24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793796*g - 793798*g - n = 15, -2*g + 3 = -n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 2*p + 0*p)*(19 + 22 - 38) to the form l + y*p and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 22*p**2 + 39*p - 17. What is l(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 527811 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.27 - 1.67. Which is the smallest value? (a) -0.2 (b) 2 (c) -3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 36*w**3 - 2*w**2 - w + 2. Let v be x(1). What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/17))\/p**(1\/4))\/((p\/p**(-2\/17))\/p**(-1\/7)) assuming p is positive.\nAnswer: p**(-159\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-55)\/33 - 3731\/(-39) is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*m**(-1\/6)*m)\/m*m*m**(-1\/11)\/m*m*m*m*m**(-5)\/m*m*m*m\/(m*m**0)*(m**(3\/7)*m**(-2\/5))\/(m**(1\/4))**(-5) assuming m is positive.\nAnswer: m**(9337\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -52. Let s = f + -22. Which is the closest to 0.1? (a) -2 (b) -2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/5 + (-1)\/5. Let d(y) = -y**2 - 12*y - 17. What is the units digit of d(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 14 (c) -4\/29 (d) 3608\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/19 + 28*m**4\/19 + 118*m**3\/19 + 116*m**2\/19 - 120*m\/19 - 144\/19 = 0 for m.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.062?\nAnswer: 0.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose h - 2*h + 9 = -5*b, -24 = -m*h + 4*b. Calculate the smallest common multiple of 18 and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*q - 1068, 2*q + 228 = 4*a - 628. List the prime factors of a.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*v - v + r, v - 17 = 3*r. Solve -v*i - j - 5 = -4*i, 0 = -5*i + j + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-3\/14))**(-35)*(q**(-6)\/((q\/(q*q**(-2\/3)))\/q))**(1\/37) assuming q is positive.\nAnswer: q**(1648\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 265339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.429 + 3.429. Which is the third biggest value? (a) 5 (b) 7 (c) s (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 - 2*y**3 - 2*y**3 - 2*y**3 - y + y + (y**2 + 4*y**2 - 2*y**2)*(2*y - y + y) to i*y + n + w*y**3 + d*y**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i**2 - 2*i**3 - i + i**2 - 5*i**2 + 1. List the prime factors of k(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*r**2 + 196*r**2 - 3 - 71*r**2 + 14*r + 3 as v*r**2 + m*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30255 (base 12) in base 16?\nAnswer: f461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159432 and 89206?\nAnswer: 7493304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3 + 0)\/((-9)\/12) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 79*s**2 + 689*s + 319. Determine v(87).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/1488 + 6812\/(-403).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 1. Let s be w(-2). Suppose -6 - 61 = m - s*k, m + 17 = -5*k. Let b = -32 - m. Solve 0 = -0*z + 3*z + 2*g + b, 10 = -5*z - 2*g for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 6*i**2 + 4*i + 7. Let t be y(-5). Let b = t - 89. What is the tens digit of ((-4)\/18 - b\/(-18))*-291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4380 + -30596\/7. Let q = 505\/56 - o. Which is the second smallest value? (a) 2 (b) q (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*g**4 + 103*g**4 - 658*g**3 - 413 + 656*g**3 + g to d*g**3 + u*g**2 + v*g + x*g**4 + p and give p.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8679 and 39.\nAnswer: 112827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10811282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21811498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/81, 1, -2\/5, 3?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + 42. Let z = p - 106. Let a = z + 49. Put 1\/3, -4, a, -2 in ascending order.\nAnswer: -4, -2, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 - (9 - 14))) + (4 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.806 - -2.18. Let q = 0.074 - m. Which is the nearest to 1? (a) 2\/9 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24972715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000696 rounded to seven decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by (-2)\/(-12) - (-1)\/(-12)*-478.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1174140 and 2739660?\nAnswer: 8218980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 13*p + 56. Give a(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-3)\/a*a)*a)**20*((a*a\/(a*a*a**4*a))\/a*a)**6 assuming a is positive.\nAnswer: a**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4 - -7298 - 492\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*s**5 + 736*s**5 - 61*s**5 + (s - s**2 - s)*(0*s**3 + s**3 + s**3).\nAnswer: 774*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -4\/5 (b) -5 (c) 0.09 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((153\/270)\/(-17))\/(2\/16). Let k = 2 + -2. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 385 - -34. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l - 1. Let u be w(0). Suppose n - 2 = -0*n. Suppose g = -2*c - n*c + 11, 4*g + c = -1. Is g less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5275 + -5274.68. Let f be ((-14)\/(-5))\/2 - 1. Sort 4, -3, a, f in descending order.\nAnswer: 4, f, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8\/7, -4, -1\/6, 0.7991, 0 in descending order.\nAnswer: 4, 8\/7, 0.7991, 0, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - 1. Let r = l + 85. Suppose 4*c = r + 58. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5870.0018564 - 5870. What is p rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -608 - -344. Suppose 0 = 7*u + 1018 - 3867. Let r = u + m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 20 - 30. Solve -28 = r*a + 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**2. Let w(i) = -20*i**2. Let j(c) = 8*m(c) - 5*w(c). Let h(b) = 29*b - 13*b - 15*b. Determine h(j(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-4)*4644\/5805?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-40)\/50)\/((-14)\/(-35)))\/((-6)\/7)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-3.2.\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/40*0 + (0 - -1). Let y be h\/4*(-81 - -79). Let r = 7 + -13. Which is the fourth smallest value? (a) r (b) -1\/4 (c) y (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 308*c + 293269. What is n(409)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6874, -13751, -20628, -27505, -34382, -41259?\n\"Answer: -6877*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z + 42*z + 73*z + z - 2*z - z + (1 + 0 + 0)*(z + 2 - 2).\nAnswer: 100*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 689 - 369. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -86, -138, -190, -242?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*t**2 - 6 + 5*t**2 as s*t + u + d*t**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 515, 519, 525, 533, 543?\n\"Answer: b**2 + b + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -2*p**7\/35 + p**3\/6 + 16*p**2. What is the derivative of z(t) wrt t?\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 2}. Give prob of sequence qq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2861 + 14307\/5. Let p = -1474\/9 + 164. Let q = 15 + -16. Which is the closest to q? (a) i (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12703231.\nAnswer: 59, 215309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 4*t - 5*t)*(6*t**2 - 2*t**2 - t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9275093km in millimeters?\nAnswer: 927509.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 16*b - 125105 + 125329 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -3, 1, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 8*m**2 - 2*m - 8. Let u be k(7). Let h = 75 + u. Solve 0*x = h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 8*y**6\/5 - y**4\/24 + 2*y**2. Is h(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ololoooo. What is prob of sequence ooll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2649, -37, 1137 in ascending order.\nAnswer: -2649, -37, 1137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 3*y**2)*(1 + 5 - 5) to the form l*y + n + p*y**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19106 - -30796. What are the prime factors of q?\nAnswer: 2, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - v**2 + 2*v + 648. Let p be d(0). Suppose -4*b = -5*n - p, -b = 7*n - 11*n - 173. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3665930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -386*v - 4578. Let p be r(-12). Solve p = 7*q + 68 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*h + 4*u + 2002 = -56*h, -1037 = -h + 4*u. Suppose -240 = -5*p + 4*c, -193 + 22 = -4*p - c. What is the remainder when h is divided by p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36 - 39\/2*k**2 - 15*k - 3\/2*k**3.\nAnswer: -3*(k - 1)*(k + 2)*(k + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g - 15. Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 3*j - 5*j - 5*j**2. Let i(v) = 2*v**2 + 3*v. Let w(d) = 2*i(d) + 3*t(d). Let p(h) = h. Give p(w(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.13 - 3.1299436. What is o rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414298.\nAnswer: 2, 59, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4102*h - 299357. Calculate c(-73).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -60, -97, -128?\n\"Answer: 3*f**2 - 52*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*d = -0*p - 93, -p - 19 = d. What is the units digit of (-4)\/p - 1484\/(-126)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 0.04, -10, -0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 148 and 41514.\nAnswer: 6144072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*4 + (-15 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/57*40\/3*14553\/1176.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*p - 25*p - 18*p)*(2 + 3 - 3)*(1 - 1 - p) to h*p + u + b*p**2 and give b.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -110*r + 3912. List the prime factors of u(-44).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*w - 185*w**2 - 105*w**2 - 2*w**4 - 106*w**2 + 15 + 391*w**2 + 135*w**3 + 131*w wrt w?\nAnswer: -24*w**2 + 810*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 0.93. Let x = -40.5 - -40.4. Let g = -791\/1182 + 1\/394. Which is the closest to j? (a) g (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 38. Solve 3*s = 7*s - 2*f, y*s - 6 = -f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - s - 105 = -9*g, -3*g - g - 2*s + 19 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/504*35)\/(10\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30.94 + 31.44. What is the third biggest value in -198, l, -5?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 190*g - 30 = 186*g, 0 = 4*d + 3*g + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -42. Suppose 0 = 5*k + 4*r + l, -21 = k + 5*r - 5. Let w be (24 + -22)*(0 - 1). Sort 3, k, w in decreasing order.\nAnswer: 3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -871, -927, -1079, -1375, -1863, -2591?\nAnswer: -3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156440 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b6119 + -9b?\nAnswer: -2b61b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 563 + -239. Let u be (-2)\/(-8) + 279\/f. Which is bigger: 2 or u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/3, -51\/22, -5, -1\/2 in decreasing order.\nAnswer: 1, 2\/3, -1\/2, -51\/22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36544 (base 7) to base 14.\nAnswer: 3694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342388 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 14) in base 13?\nAnswer: 48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568845009 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from {q: 1, j: 1, b: 1, r: 5, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 17168 + 22747*l**2 + 34331 - 17165.\nAnswer: 22747*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.856068 millilitres to litres.\nAnswer: 0.002856068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 1. Let q(z) = -4*z + 2. Let u(i) = 5*h(i) + q(i). Differentiate u(y) with respect to y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2554600 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57002?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1282*c*r**4 + 4778*c*r**2 - 345*c*r - r**6 + 224*r**4 wrt r.\nAnswer: 30768*c*r - 120*r**3 + 5376*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:07 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q + 15. Calculate t(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 50, 197, 486, 965?\nAnswer: 1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 - 5*l**3 + 136 - 136 to c*l + b*l**2 + k*l**3 + a and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 5*k. Suppose -f = -k*f - 3, 2*f = 3*r + 3. Let s = 6 + -5. Is r at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, f: 1, v: 1, r: 3}. Give prob of sequence fv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 10*g = 12*g, -4*i - 5*g = -8*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 662, 351 in descending order.\nAnswer: 662, 351, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7825*o**2. Let k(y) = 7*y. Calculate k(m(u)).\nAnswer: -54775*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3348 divided by -372?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**5\/4 - 5*q**4 + 35*q**3\/2 - 25*q**2 + q - 44. Factor c(s).\nAnswer: 5*(s - 10)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:35 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 38. Which is bigger: 31 or l?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-75))\/4*(-45)\/(-15)*(-20)\/(-84).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 340, 330, 322, 316?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 69. Let c(v) = 64*v - 45. Let g be c(6). Let l = -293 + g. What is the greatest common divisor of j and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.04 (b) -1 (c) -1\/4 (d) 1\/2 (e) 2\/145\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4587 rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*4)**2 + 4 + (-1*(sqrt(11) + 0) - (sqrt(11) - (4 + (sqrt(11) - sqrt(99)))**2)).\nAnswer: -18*sqrt(11) + 21360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 212, 538, 864, 1190, 1516, 1842?\n\"Answer: 326*b - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 821\nAnswer: -164.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from wzbzmmzbmdmdzh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 410, 7, -3, 17 in increasing order.\nAnswer: -3, -2, 7, 17, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-3))\/((z\/(z\/z**(-2\/7)))\/z)*(z**(1\/2))**(-1\/4))\/((z**(-2\/3))**(-1)*(z**(2\/5))**(5\/16)) assuming z is positive.\nAnswer: z**(451\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403402 (base 5) to base 9.\nAnswer: 18718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 817897, 818635, 819373, 820111?\n\"Answer: 738*n + 817159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -478649 - 6.\nAnswer: -478655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(112\/49))\/(9\/(72\/28)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 936359 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*s - 3, -4*s = -3 - 1. Calculate the remainder when 37 is divided by -2*j\/(-10) - -26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekekhmslm. Give prob of picking 1 l and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 17*i + 20. Determine c(-8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57695*u**4 - 95715995*u**3 + 52930934175*u**2 - 9756929416745*u - 1691123770 = 0.\nAnswer: -2\/11539, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/72*92 - (-12)\/(-90)*5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z - 25. Suppose z*g = 629 + 11. Suppose g = 2*s + 38. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130919591329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147, -132, -117, -102, -87?\n\"Answer: 15*b - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**6\/120 + t**3\/2 - t**2\/2 - t. Let d(z) be the first derivative of k(z). Differentiate d(b) with respect to b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41851 rounded to the nearest 100?\nAnswer: 41900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5771 - -5907. Calculate the greatest common factor of g and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837408 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 708*c**2 + 331*c + 24. Is h(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5 = a, -m + 4*a + 0 = 2. Suppose -c + 437658 = 3*g, -c + 249518 = m*g - 188145. Let i = c + -817673. Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100832*y**3 - 9*y - 520707 wrt y.\nAnswer: -302496*y**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 + 3*z + 10. Calculate f(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 + 3.28. Let v = -41\/3 - -13. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:09 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 - 651520*a + 651525 = 0.\nAnswer: -130305, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(68))**2 + sqrt(68) - ((-1 + sqrt(1700) - sqrt(1700))**2 - (sqrt(17) + sqrt(153)\/sqrt(36) - sqrt(17))))*1.\nAnswer: -3*sqrt(17)\/2 + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 49. Suppose -3*b + m = -117. What are the prime factors of b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -835, 2, 1, -12 in decreasing order.\nAnswer: 6, 2, 1, -12, -835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -163, -312, -451, -580, -699, -808?\n\"Answer: 5*y**2 - 164*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2696, 10371, 22992, 40559?\nAnswer: 63072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 229.\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 = -h - f, -3*h - 2*f + 2331 = -5*f. Calculate the remainder when h is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 1. Is m(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045*-0.1\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.02, -706, 154, -5\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 19. Let h = 0 - 0. Is b(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**3 - 3018*n**2 - 2411*n - 78211. Give l(432).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1969.517 micrograms?\nAnswer: 1.969517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30 - 20 - 9 - -18. Solve -18*y + u*y - 1 = -4*t, -4*y = t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose 2*k = 84 - j. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55324 - 55324 - 6*k in the form v*k + g and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.035 - -67.465. Let a = -68 + d. Let b = -3 + 1. Sort -1\/3, a, b in descending order.\nAnswer: -1\/3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125884, 251802, 377756, 503746?\nAnswer: 629772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6120916?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1645*z - 1653*z + 2 + 3298*z + 37*z**2.\nAnswer: 37*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 6*s**2 + 4*s - 1. Let f be u(-5). Suppose -11 - 37 = -f*o. Suppose 0 = -0*t - t + o. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217529 (base 16) to base 4.\nAnswer: -20113110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -979 - -4?\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-318)\/(-10) + 14\/(-5) + 3. Suppose -4*o - 4*a - i = 0, -2*a - 12 = 5*o - 4*a. Let z(t) = -t**3 - 6*t**2 - 5*t - 5. Give z(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 4*d + 5*z, -2*d + 158*z = 146*z - 226 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 - 5*n - 5. Let m(y) = 6*y**2 + 4*y + 4. Let i(d) = -6*m(d) - 5*r(d). Let k(g) = 6 - 2 + 29*g - 25*g. Give -4*i(v) + k(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 5:53 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(((1190\/(-6608))\/17)\/((-245)\/196))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194 + 98 + 98 + 0*c**4 - 16*c**4 + c**3 + c**2 to the form i*c + o*c**3 + d*c**2 + t*c**4 + v and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwiwwwihihwhih. Give prob of sequence hi.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let h be 10\/(-4)*(-8)\/u. Is h*92\/(4*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -1 - 15. Suppose 0 = 5*i - n*h, 0 = i - 3*i - h. Let i + 0*j - 1\/3*j**2 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*k**2 + 44*g*k*v + k**2 + 10*k*v wrt g.\nAnswer: k**2 + 44*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(2\/3))**(-27))**(6\/7))**(-4) assuming v is positive.\nAnswer: v**(216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 614 + -613. Sort 1\/5, 1\/3, -2\/3, h in descending order.\nAnswer: h, 1\/3, 1\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12 + 2*q + 10 - 5*q - 9. Let g be c(-5). Solve -t = 4*t + g*d - 6, 3*d = 4*t + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 72. Suppose 5*g = 3*g - 10, 4*g = -2*k - l. Solve k*s - 4*s = 0, 3*s - 6 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 - -159.131. Let t = 0.531 - j. Which is the second smallest value? (a) t (b) -32 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05240106 times 3\nAnswer: -0.15720318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/16636 + -165315\/29113. Let r = -38\/7 - s. Let t be 34\/8 + (-1)\/4. What is the nearest to r in t, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76026629 divided by -7.\nAnswer: -10860947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - -29 - (-4 + 4 + 1 - 12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -629592 bigger than -10703070\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2214\/279 - (-15)\/((-120)\/64). What is the smallest value in -3, 9, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555147457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*w + 7 = -8, -2*o = w - 23. Let a = o - -4. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -319*x**2 - 121*x + 121. Let f(g) = 8*g**2 + 3*g - 3. Calculate 6*a(h) + 242*f(h).\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 2*h + 3*h**2 - 3*h**2 - 6 + h**2 + h. Let z = 1221 - 1221. Calculate t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -76*s + 50. Let m(p) = -79*p + 52. Let j(i) = -6*m(i) + 5*o(i). Differentiate j(w) wrt w.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 60*l - 59*l + 21, -3*o - l + 3 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 (base 7) in base 14?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2820005*o**3 - 13119970*o**2 + 210580675*o - 456724860.\nAnswer: -5*(o + 12)*(751*o - 2759)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 21*t + 3. Let b be g(-2). Let d = 77 + b. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x**2 + 4*x + 5. Let q(z) = 1 + 7*z**2 + 3*z + 0 - 3 - 5*z. Let f(h) = 2*a(h) + 5*q(h). Find s, given that f(s) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + (-4)\/(-16)*-4. Suppose z = 162*p - 169*p + 56. Solve n = -3*n - p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Suppose c - 2 = -2*w, -10 = i*c + 2*c. List the prime factors of (-6 + w)\/(4\/(-22)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g**3 + 1\/24*g**4 - 23*g**2 + 0*g + 0. Let b(l) = -58*l. What is b(z(r))?\nAnswer: -58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7760000*(6 - 3 - 8). What is k rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 9\/((-63)\/3185). Let o = c - -1775. What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - m + 31 = -5*m, h = -5*m - 17. Suppose 16*y - 4 = 14*y. Suppose 0 = y*b + 4*g + 12, 3*g + 7 = h*b + 4*g. Solve 0*x - b = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4135 - 4156 - 4161 + 12453 + 9*l - 5*l.\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5584904 greater than 4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 17\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k**5 + 6721*k**4 - 128043*k**3 - 988501*k**2 - 1744332*k - 340236 = 0.\nAnswer: -3, -2\/9, 26, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 190987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akvkkavaka. Give prob of sequence aa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1855614073 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 7 + 7 - 3*j - 2*j + 3*j + (0*j + 11*j + j)*(-5 - 1 + 5) to the form w + k*j and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*l - 9 - 14 = 0, 0 = 3*l - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*w = 34*w - 297501. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 5 - (-4 - -1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/5)*((g**34\/g)\/g*g)\/g*g*g**(1\/6)*g**(1\/23)\/g assuming g is positive.\nAnswer: g**(22639\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 - 56. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91.67 and -14823?\nAnswer: -1358824.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/19 and -2185777 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.96168 - 0.03832. Which is the third biggest value? (a) -0.04 (b) -3 (c) -1\/3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.3. Let j = -0.5 + d. Let g = 398.2 + -398. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -101 + 81. Let r be (m + -2 - -4)\/(21\/28). Let y = 6 + -2. What is the highest common divisor of r and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (8 - -3 - 12)) + (1 - 2) + -49\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -127.884 + -0.116. Let r = -124 - b. What is the third smallest value in 0.06, r, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from npmm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170 by -8574.\nAnswer: 85\/4287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10391 - 3033 = 500*w + 5058 + 7518 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-35)*(-6)\/(-17)*-5.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10930945.6 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*j**2 + 1661*c**2*j + 2047512*c*j**2 - 5*j**2 + 55893*j wrt j?\nAnswer: 8*c**2 + 4095024*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23966 is divided by 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27467 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 38 + 25. Let y(d) = -56527*d - 67. Let v be y(i). What is v rounded to the nearest ten thousand?\nAnswer: 1190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-5 + 3) - (-4 + -35). Calculate the greatest common factor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(272)) - (sqrt(272) + 4*(sqrt(272) + -3*sqrt(272))).\nAnswer: 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(897\/(-46))*11\/10?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 78\/6 + -15 - (-1 + -3253)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665356.3 centuries to millennia.\nAnswer: 66535.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**7\/210 - d**5\/12 - 13*d**2. What is the third derivative of s(m) wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 225 and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:43 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 690332198 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let w be (-2)\/(-8) - (-2)\/8. Let p = 90 - 94. What is the biggest value in w, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8 + 60\/(-112).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 941667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/24)\/((-2)\/(-6)). Which is the second biggest value? (a) 2 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n - 2*v - 13, 4*v = 16. Let f(m) = m**3 + 7*m**2 + 2*m - 2. Let a be f(n). Is (4 - a)\/(2 - 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 448504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from wuyuuwwyyyywyu?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02201 + 137446.92285?\nAnswer: 137446.90084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-4*z**3 - 3*z**3 + 2*z**3) + 8*z**3 - 4*z**3 - 5 - 20*z**3 to t*z + w*z**3 + b + j*z**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1872) + -1 - (sqrt(1872) + 1)*2.\nAnswer: -12*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16188 and 4047.\nAnswer: 16188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -59. Let t(l) be the second derivative of 0*l**2 + 0 + k*l + 1\/3*l**3. Let f(b) = -b. What is f(t(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*f + 3*l, 0 = 3*f - 2*l - 147 + 37. Calculate the remainder when 74 is divided by f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.52, 0.3, -2, -1\/138 in descending order.\nAnswer: 0.52, 0.3, -1\/138, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -3215*q**3\/6 + 753*q**2\/2 - 2*q + 92. Find the first derivative of z(l) wrt l.\nAnswer: -3215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -18168, 4, 5, -4 in increasing order.\nAnswer: -18168, -4, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*y + 8 = -2*t + 133*y, 4*y = -5*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1929 + -560. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/6 in 3, 0.3, 0, 2, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-580)\/(-2030) + 118\/(-462).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 110 = -21*x. Is -14 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 511 - 2045\/4. Which is the fourth smallest value? (a) x (b) 0.04 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 1 q when three letters picked without replacement from {g: 1, z: 1, c: 1, m: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647347?\nAnswer: 13, 126719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*n + 9. Let u = 2 - n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 11 = j, 3*j + d = -1 + 18. What is the highest common factor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -32 (b) -0.5 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -1 + (-93 - 78) + 210.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 26. Let j be o(14). Suppose -4*q - 4 = -4*z - 8, 0 = q. Let b = z - -16. What is the greatest common factor of b and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7200)\/1050 + (-1)\/7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 3*y + 10*y)*(-6*y**2 - 3*y**2 + y**2) + (-2*y + 5*y - y)*(-6*y + 6*y**2 + 6*y) to s*y**2 + z + p*y**3 + x*y and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 91. Let u be o(-4). Suppose 2*h + 17 = 5*v, 98*h - 17 = u*h - v. Solve l - 5 = x, 0 = h*x - 7*l + 2*l + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -6. Let a(s) = -18*s**2 + 17*s**2 + s + 3 - 6*s. Let z be a(b). Solve 2*m - 9 = l, -z*m + 2*m = -3*l - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Suppose 5 = -5*l - 3*q, 35 = 2*l + 3*l - 5*q. Solve 5*d + l*a + g*a = -30, -3*a - 21 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w)**21)**(-24\/11)*w**(5\/6)\/w**(-8)*w\/w**(-4)*w*w\/(w**9*w*w) assuming w is positive.\nAnswer: w**(-5729\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 10*g - 4. Let m be s(4). What is the closest to -2 in m, 1, 8, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**2)**(-2\/33))**(-41))**20 assuming q is positive.\nAnswer: q**(3280\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 4*t - 2. Let h(m) = 4*m**2 + 7*m - 3. Let r be -3 + 3 + 34 + 3. Suppose -2*q = -5*j + r, 5*q = -2*j + 7*j - 40. What is j*n(a) - 4*h(a)?\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1603080 and 139\/3660.\nAnswer: 1603080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 5*l + l)*(-4*l + l + 0*l) - 3*l**2 + l**2 + l**2 as h + o*l**2 + v*l and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333 - 317. Calculate the remainder when 62 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4104*-2.\nAnswer: -0.8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177885*u**3 - 304463*u**3 + 126567*u**3.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**5*y - 18378718*n**3*y - n*y - 22*n - 15514*y - 5 wrt n.\nAnswer: -20*n**3*y - 110272308*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwwwooww?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 58 = -y. Suppose 3*u = 2*o + 242, 5*u = 2*o + 192 + y. Let w = o - -457\/4. Which is bigger: 0.1 or w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n = 2*c + 8, c - 11 = -2*n. Suppose -4*k - 3 = n*g - 14, 3*k - 4*g = 16. Solve 3*d = 2*q - 17, 3*d + q + k = -10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r + 40. Let v be 3520\/200*(-10)\/(-4). What is the highest common divisor of r and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*o**2 - 357*o**2 - 627*o**2 - o**3 - 166*o**2.\nAnswer: -o**3 - 1199*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*a**2 - a + a + (4*a - 4*a + a**2)*(-2 + 1 - 1))*(-4*a + 4*a**3 + 6*a - a).\nAnswer: 28*a**5 + 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.3. Let m = -1.1 - -1. Which is the biggest value? (a) m (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 618.7 (b) 2\/163 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84136*-5.\nAnswer: -420680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 62*l**2 + 7*l - 29. Let m = -192 + 186. Let a(h) = 63*h**2 + 6*h - 28. Let r(g) = m*f(g) + 7*a(g). Find the first derivative of r(z) wrt z.\nAnswer: 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 15*f - 45 = 0. Let p = 1 + -1. Solve p*o = -f*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/140 + 31*x**4\/14 + 125*x**3\/14 - 435*x**2. Factor g(p).\nAnswer: -3*(p - 125)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78 - 64. Let z = g + 12. Suppose 0 = 4*p + 4*x - 64, -p + 7*x + 16 = 3*x. What is the lowest common multiple of p and z?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22429 (base 10) in base 9?\nAnswer: -33681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 3. Let p(c) = -217*c**2 - 3*c + 17. Calculate -p(d) - 5*x(d).\nAnswer: 207*d**2 + 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - 65. Calculate the remainder when 22 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -25*c**2 - 22*c + 414. Let w(d) = 6*d**2 + 5*d - 93. Let m(v) = -2*o(v) - 9*w(v). Let t(u) = 11*u**2 + 3*u - 28. Calculate -17*m(p) - 6*t(p).\nAnswer: 2*p**2 - p + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 615 - 651. Does 22 divide 7156\/6 + (-11 - 408\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -91, -175, -243, -289, -307, -291?\n\"Answer: r**3 + 2*r**2 - 97*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/35*1*90\/288?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffh when four letters picked without replacement from hhfehhhfhfhfff?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002190316 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ca1 - -2a?\nAnswer: 1ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -o - 6, 6*l - 2 = l - 2*o. Suppose -40 + 4*s**2 + 0*s**2 - 6*s**l + 7*s**2 + 10*s = 0. What is s?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(((-16)\/12)\/((-200)\/(-4)))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f - 583. Calculate h(-95).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (175 - 157) + -100 - (-16 - -2)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hs when two letters picked without replacement from {s: 4, w: 2, h: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 15. Let c(x) = -7*x + 23*x - r - 15*x. What is c(0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**2\/2 + 3846. Let l(g) = g**2 + 139*g - 3. What is d(l(k))?\nAnswer: k**2 + 139*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-5 - 7) + 75.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - (-17)\/3. Suppose -q = -5*o - 11*c + 6*c, -c - 35 = -5*o. Solve -16 = 4*w + 4*s, 2*w - o*s - 6 = -s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-2)\/(-6)). Let g = z + 7. Solve s + g = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*f - 49 = 0, -7*f - 9 = -4*f. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-3)\/((-72)\/20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d + 19. Let h(r) be the second derivative of -3*r**3\/2 + 9*r**2 + 3*r. Let v(z) = 5*h(z) - 4*l(z). Differentiate v(q) with respect to q.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 9 = -3*n, 3*v + 34*n - 15 = -23*n - 17*n + 77*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(110)\/(sqrt(10)*-1) - ((sqrt(44) - sqrt(11)) + 3)).\nAnswer: -8*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102163993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -249 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 15*x - 87. Let h be y(6). Suppose -11 = -3*q - 8, -2*o = -h*q - 27. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46290900 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 14*k + 17. Calculate h(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, c: 4}. What is prob of sequence ccyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21448 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541166202?\nAnswer: 2, 3, 17, 1768517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -29.46 and 82.\nAnswer: 52.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325*v**5*y - 3*v**2*y - 7*v*y wrt v.\nAnswer: -19500*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42902 - 42902 - 114*s.\nAnswer: -114*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10800 and 11416680?\nAnswer: 114166800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + 0.01. Let r = z - 0.31. Which is the nearest to -1? (a) r (b) -5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3019*i - 12*i**2 + 1509*i + 1510*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -573852 and -611.0455?\nAnswer: 573240.9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 997197?\nAnswer: 10969167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 11*c + 7. Let b be h(10). Let n = -18 + b. Is n >= 1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12 - 370\/(-75)) + -6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -72. Suppose 4*u + g + i = 0, -3*u + 4*g = -31 + 11. Which is smaller: -2\/295 or u?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(2*j + j - j) + 42*j + 102*j - 49*j.\nAnswer: 101*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2728 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13435)\/(-30) - 7\/(-42)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9720, 19358, 28996, 38634, 48272?\nAnswer: 57910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00483855 to 4 decimal places.\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*s - 0 + 40, 0 = w + 4*s - 25. Suppose w*a - 20 = a. Solve 0 = a*p - 0*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s - 283. Let d(f) = 8*f + 567. What is 4*d(p) + 7*o(p)?\nAnswer: -3*p + 287","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x - 66 = 0. Suppose p + p = x. Calculate the remainder when 42 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 3, o: 4, f: 8}. What is prob of picking 2 o?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from vmvvvmvvmvvmmv?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Let q be (m\/2)\/((-9)\/24). Let j = 151\/4 - 38. Which is the nearest to -0.4? (a) 2\/3 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2035 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1063.4 - -0.5?\nAnswer: -1062.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4504434 and 0.3.\nAnswer: -4504433.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478024, -477961, -477898, -477835?\nAnswer: -477772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - g + (-1 + 0 + 3)*(g + 7*g - 7*g) + 2*g + g - 2*g as k*g + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 331, 378, 425, 472, 519, 566?\n\"Answer: 47*d + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u - 21. Let y(i) = 9*i + 12. Let m(w) = 4*k(w) + 7*y(w). Let j(z) = 5*z - 1. Calculate -j(g) - 2*m(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160*w**2 + 25231*w - 2145223.\nAnswer: -320*w + 25231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-96) + (-212)\/32*16\/112\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**4\/7 + 16759*m**3\/7 + 37207*m**2\/7 - 1049739*m\/7 - 30186 = 0.\nAnswer: -9, -1\/5, 7, 3354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llglglgozlolllgll. Give prob of picking 2 l.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i - 17*i - 29*i + 13213*i**3 - 4244*i**3.\nAnswer: 8969*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -14*q + 347331 - 347383, -4*q = 2*t - 8 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2428 - -2422.194. Let z = -3.206 - -3.1. Let k = z - j. What is k rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 31*i + 204. Calculate the remainder when 92 is divided by p(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)\/q**(-3))\/((q*q**(-1\/3)\/q*q)\/q)**17 assuming q is positive.\nAnswer: q**(80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 3. Let z be (-2)\/(-4) - q\/8. Let r(y) = 1 + 5*y**3 - 4*y**3 + 5*y**2 + z + y. What is r(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 213.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/9)\/(a*a**1*a)*(a**(2\/5))**(-4\/15) assuming a is positive.\nAnswer: a**(-649\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -15*q - 1. Let c(j) = 30*j**2. Determine p(c(a)).\nAnswer: -450*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, y: 2, x: 4, d: 4, v: 1, l: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 676638 divided by -1?\nAnswer: -676638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2367 is divided by 775?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n - 3. Let a be i(1). Suppose 0 = 4*s - 2 - 6. Suppose -a*g + 3*x + 12 = x, -3*g + 9 = s*x. Solve -g*j - j + 8 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let u(n) = -12608515*n**2 + 5*n. Determine u(o(x)).\nAnswer: -50434060*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o + 60*o - 286*o**2 - 21*o - 16*o.\nAnswer: -286*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -72, -21, -5 in descending order.\nAnswer: -1, -5, -21, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -2 (c) -1 (d) 0 (e) 3\/4 (f) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 3 - 3 + (28*l - 13*l + 21*l)*(-2 + 3 + 0))*(3*l**2 - 5*l**2 + 6*l**2) + 0*l**3 + 2*l**3 + l**3.\nAnswer: 155*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1076 + 624. Let n = v + 1239. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 - m + 8. Let o = 2 - 3. Let v(z) = 7*z**2 + z. Let h be v(o). Let k be j(h). Solve 5*u - 2 = k*a - 4, 0 = -a + u - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4))\/(3\/6). Suppose 5 + 25 = f*j. Suppose 2*w - j - 4 = 0. Solve -3*b - 3*i + 4 - w = 0, -2*i = -2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11394*s - 273497. What is w(24)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 24. Let d(u) = u**3 - 4*u**2 - u - 18. Let n be d(6). What is the greatest common factor of n and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:13 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 17 = -2*s. Let u be (s - 2)*-2*-2. What are the prime factors of (-3 - (-156)\/(-8))\/(u\/(-24))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-12)*32\/7. Let l = t - -39\/14. Let o be (-2)\/8 - 9\/(-4). What is the nearest to l in 0.2, o, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 67 = 6*q + 5*m, -5*q - 4*m - 95 = 0. Let d = q - -28. Let c = 4 + 0. Calculate the smallest common multiple of d and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 101771 - 101534 + 0*b**2 to v*b + k*b**2 + t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -1\/22, 3.2, 0.9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 68*c + 5 = 64*c + 29, 266*n - 536 = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/35 - (-38)\/(-10). Let c be (69\/(-18) - f)\/(1\/(-6)). Suppose -n - 49 = 5*u - 491, 0 = c*u - 3*n - 454. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) - 34\/(-8). Suppose v - c*v + 621 = 0. Let b be 1\/2 + v\/18. Solve -2*s - b = -4*u, s - 9 = -3*u - 0*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-26)*152 - (22\/26 + -1). Solve 10*a - o = 13*a - 3*z, 4*a = -2*z - 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 4 - 6*l**2 + 9*l**2 - 5*l. Let c(z) = z**2 - z + 1. Give -4*c(j) + f(j).\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 242 = -4*a, 0 = r + 4*a - a + 111. What is the common denominator of ((-63)\/54)\/((-150)\/r) and -71\/4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60457684*z**3 + 2245*z**2 + 2*z + 178.\nAnswer: 362746104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3)*(11 - (970\/30 + 7 + -28)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2561315 + -4?\nAnswer: 2561311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 600 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1671 and 94\/926565.\nAnswer: 516096705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140657, 140862, 141069, 141278, 141489?\nAnswer: 141702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-17 - -37)) + (-1 - -2 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (786\/28)\/(1\/(-4)). Let t = g + 112. Is t >= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**3 - 235*w**2 - 2280*w - 6300 = 0.\nAnswer: -35, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)\/((-1)\/(-25)). Let g be (-670)\/u + 1\/5. What is the highest common factor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 y, and 1 g when four letters picked without replacement from gygyyoyyyyo?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(21)*2 - sqrt(21))\/(sqrt(49)\/sqrt(175)))**2*5.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g - 29*g + 7 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzuu when four letters picked without replacement from {u: 1, k: 3, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 + 60*g - 826. What is q(15)?\nAnswer: 1424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) -0.58 (b) -2089 (c) -1\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of 0*j + 0 - 1\/90*j**5 - 1\/9*j**3 - 1\/18*j**4 + 8*j**2. Suppose d(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + -0.93. Let j = -0.14 - y. Let v = j + -0.29. Round v to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/12 + 2*y**3 - 4*y**2 + 11*y. Let i be t(6). What is the highest common divisor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8301447 hours in minutes?\nAnswer: 49.808682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f**3 + 3*f**2 + 3*f + 1. Let k be y(-1). Is -8*(-1)\/(-2) - k*31 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -218849*j + 218849*j + 4 + 7 - 6 + 4*j**2. Let p(w) = -9*w**2 - w - 11. Determine 5*d(k) + 2*p(k).\nAnswer: 2*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4833 is divided by 1513.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*f - 201. Let v = f - 18. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:23 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 2, -11, -26, -43, -62, -83?\n\"Answer: -k**2 - 8*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)*u)\/u*u*((u*u\/u**(2\/41))\/u)\/u)\/(u**(2\/13)\/(u*u**9)) assuming u is positive.\nAnswer: u**(17798\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2616*-4.\nAnswer: -10464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 - 8*k + 3. Suppose 5*r + d = -5363, 0 = 2*r + 3*d - 13 + 2166. Let w = 1148 + r. What is the remainder when w is divided by x(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 + 121*d**2 + 92*d + 32. Let j be v(31). Let k(a) = -a**2 + a - 1. Determine k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -4 + -2 + 6. Suppose -3*r + 2*r = -n*j - 73, 4*r - 3*j = 360. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 and -7\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 3, -7 in ascending order.\nAnswer: -7, -5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 + -2.5. What is the third smallest value in 2\/15, 0.03, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.803 - 383.3.\nAnswer: -382.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0.15 (c) -4\/41 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 69*t**2 - 446*t - 125. Calculate the remainder when w(-62) is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261 + -194. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 0, 1806\/41, 5, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382 + 23*m**2 - 412 - 113*m**2 + 825 to u*m + k + a*m**2 and give a.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -0.147.\nAnswer: -0.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 511\/35 + (-2)\/(-5). Suppose 7*v - 3*v - n = -3*l, v - 2 = l. Suppose 0 = -7*i + v*i - 4*p + 28, 8 = -4*p. Solve -i = -3*f, c - 4 = -f - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 4601?\nAnswer: 1\/4601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 22374 - 4671. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2345930, 11, -3, 1 in ascending order.\nAnswer: -2345930, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 + -85. Calculate the highest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 315, -15\/8, -3, -0.07 in decreasing order.\nAnswer: 315, 1\/4, -0.07, -15\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -18. Let i(d) = -2*d - 6. Let h be i(o). Let g = 0 + 3. Solve -g*p - 4*f = -h - 15, -5*p + 2*f = 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:43 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1103243, -2206483, -3309715, -4412933, -5516131, -6619303, -7722443?\n\"Answer: u**3 - 2*u**2 - 1103241*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2847 - 2844. Solve -2*b = -x*d + 7 - 0, -4*d + 5*b + 21 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 482715627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k + 3. Let l be d(-10). Let p be (-4)\/((-48)\/l) - 6\/(-8). Solve -3*s + 0 = p for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2022\/25 - -977\/25. Let g = f + 42. Let w = -3 - 1. Which is the nearest to -0.1? (a) -5 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -80764\/3 (b) -2\/15 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36989 divided by -288.\nAnswer: -36989\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*i**4 + 389 + 18*i**4 - 388 + 16*i wrt i?\nAnswer: 1656*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 14.29. Let x = 2.71 + h. Let f = x + -1. What is the second smallest value in 4\/7, f, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.111616748109 + -0.0995\nAnswer: -0.211116748109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330230.2 litres to millilitres.\nAnswer: 330230200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p**35)**(-1\/8))**(27\/5) assuming p is positive.\nAnswer: p**(891\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*l = 29, 4*o - l + 7 = 5*o. Let i be o + (2 - 1)*-3. Suppose 0 = k - 2*b - 12, 4*k + 12 = i*k + b. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u**2 + 0*u - u**3 - u + 0*u**2 + 3. Let z be d(0). Put -2, 4, z in descending order.\nAnswer: 4, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -13. Suppose 0 = 2*l - s - 0. Suppose l*c = -2*c + 115. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 12*k**2 + k - 10. Let q be u(12). Let c(i) = -1 - 2*i**2 + 6*i + i**q + 0*i**2. Suppose 3*f = -2 - 4, -l = -4*f - 12. Determine c(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -58, -15526 in decreasing order.\nAnswer: -5, -58, -15526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) 0.051 (c) 2\/5 (d) -5\/4 (e) -13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 12\/7 (b) -3 (c) -8 (d) -11\/7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63066*u**5 + 19189*u**2 + 1?\nAnswer: 3783960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4*(-11 + 459\/45). Which is smaller: o or -0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:05 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*r - 264*r + 519*r + 7.\nAnswer: -10*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-68)\/3))\/(81\/(-4050)*25).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/3 - 760*o\/3 + 4800 = 0.\nAnswer: 20, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**29*x*x\/(x*x\/(x**(-29)*x)*x) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321 and 36143851.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 378 = -2*z + 501, 5*w = z - 432. Let p = 1764 - z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = w - 1, 70 = 4*w + 2*i. Let k be ((-10)\/(-4))\/((-1)\/2). What is the smallest common multiple of (-10)\/4*16\/k and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 5*y**3 - 8*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -886, -1804, -2726, -3652, -4582?\nAnswer: -5516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 8. Let z(d) = 6. Let m(y) = 4*b(y) - 6*z(y). Let h(v) = v - 1. Let a be -4 - (0 + 0 + -1). Determine a*m(c) + 10*h(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41755 + 41935. Calculate the least common multiple of d and 555.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7. Let b(n) = -38*n + 12. Let j(x) = 17*x - 6. Let y(m) = 4*b(m) + 9*j(m). Let v(k) = -5*s(k) - 6*y(k). Give v(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 18*p - 103. Determine a(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1620*j**3 + 572436900*j**2 - 63604085*j + 1766780.\nAnswer: -5*(j - 353356)*(18*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 + (14 - 5 - 13)) - -37.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4\/4 - 37*w**3\/2 - 8643*w**2\/4 - 43469*w - 41327 = 0. What is w?\nAnswer: -34, -1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*g - 15 = 0, 2*i - i - 3*g = -17. Let d be 2\/8 + (-29)\/4. Let w = d - i. Solve -f - q + 6*q = -25, w*f - 4*q - 20 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 29*m**2 - m - 1. Let a be c(-1). Suppose 4*x - 8 = -5*h, 6*h - 3*x = h + a. Let j(u) = -3*u + u**2 + 482 - 478 - 2*u. Calculate j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*0\/(4 + -3). Let c = 9 - 14. Sort 2, c, x, 5 in decreasing order.\nAnswer: 5, 2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 104\/24 - 2\/6. Let a = 11 + n. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 7\/7621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46813?\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -31 + 8*u - u**2 + 4*u**2 - 2*u**2 + 14. Does 8 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1069 + 10*s - 12*s + 1214)*(s + 0 + 0) to y + h*s**2 + g*s and give g.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {j: 3, d: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -910 - -916. Let x = -3 - -5. Solve -x - t = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2 = -h + h - 11 + 3, 6*h + 38 = 10*h - 9*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 2 w when four letters picked without replacement from iiiiiiiiwuupwp?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1879471856 minus 0.7672?\nAnswer: -1879471856.7672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -205.406?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 13 = -2*p, -4*p - 4*z + 7*z = 17 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21357, -42718, -64079, -85440, -106801, -128162?\n\"Answer: -21361*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 16 + 25 - 11 - 661*m + 81*m. Let l be x(12). Round l to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*138 + (2 - 3). What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21468*r - 2*r**2 - 21468*r - 148)*(-2*r - 2*r + 2*r) to the form j*r**3 + f*r + q + b*r**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 7:18 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/23 + 246*c\/23 + 484\/23.\nAnswer: 2*(c + 2)*(c + 121)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 - w**2 + 3*w**2 - w**2 + w**2 + 2*w. Let k be d(-6). Calculate the greatest common factor of 228 and k.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = 16*r - 25*r. Put r, -3, -4, 5 in ascending order.\nAnswer: -4, -3, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 56*k + 52.\nAnswer: 4*(k + 1)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 315223896 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-2) - -2)*8. Let n(y) = -y**2 - 3*y - 2. Let u(h) = h**2 - 1. Let f(a) = -n(a) + 5*u(a). Let g(i) = -i**2 - i + 1. Determine l*g(o) - f(o).\nAnswer: -2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 14 - (1 - (5 - 2)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 7*a**2 - 6*a + 2. Let o(p) = p**2 + 3. Let k be o(0). Suppose -5*j + 2*j - i = -10, 3*j = k*i - 6. Suppose -z - j = 4. Determine h(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258986520 divided by 5.\nAnswer: 51797304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -165201.9 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018438 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.7 (b) -0.4 (c) 5.1177 (d) 2 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 3*w + 5. Suppose -5*p + 88 - 123 = 0. What is y(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15a9b - 8?\nAnswer: -15aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 4533499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/6 + -2 + (-5)\/15. Suppose 0 = -v - 3*v. What is the smallest value in -1\/6, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - -1.81. Let v = 1.70000128 - q. Round v to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 221135 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189.521 - 188.6. Let x = 0.93 - i. Let a = x + -26.609. Round a to zero dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 843484, 1686971, 2530458, 3373945, 4217432?\nAnswer: 5060919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 6\/5, 4, -5\/48, 0.5, -8, 4\/5?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13))**(1\/5))**(-5\/16) assuming p is positive.\nAnswer: p**(1\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340 - 340. Let o be 48\/3*(-1 + 0). Sort -5, -2, j, o in ascending order.\nAnswer: o, -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -148, 3, -4, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77318 and 0.0366.\nAnswer: -2829.8388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 239540 plus -25?\nAnswer: 239515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1003113 + -22?\nAnswer: -1003135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4321*f + 5020*f = -8388 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-7)\/q)\/q)\/q*q\/((q**(5\/3)*q)\/q)*q**(1\/3)\/(q*q**(1\/8)))**(8\/13) assuming q is positive.\nAnswer: q**(-275\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 - 3*c - 2. Let v be h(3). Suppose 0 = -t + 2*n + 6, 2 = -5*t - 0*n + 2*n. Let w = v - t. Sort w, -4, -2 in ascending order.\nAnswer: -4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5094\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/131, 0.4, -4, 4, -41?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-75)\/(-21) - -7.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/14)\/(((-1)\/5)\/(252\/70)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71131906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5179 - 5215 - 19*k + 10394.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 3:33 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3607.861 kilometers to meters.\nAnswer: 3607861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*l + 4*s + 75, l - 38 = -4*s. Suppose y + 112 = 32. Calculate the smallest common multiple of 2\/(2\/y*-4) and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) 1\/381 (c) 3 (d) 146\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136998*g**4 + 39*g**2 + 17*g + 210936 wrt g.\nAnswer: -1643976*g**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/4329413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 201806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (6 - (-1 + 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*c - 2*c - 19, s = -2*c - 10. Let x be (-54)\/(-3)*(-4)\/6. What is the tens digit of 0\/(c - -2) - x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4*19\/6*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121231 - -3?\nAnswer: 121234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 5*c**2 + 24*c - 41. Calculate the remainder when 387 is divided by l(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 9*u + 1. Determine y(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 1. Let x be -1 + 1 + w + -23. Solve s + 1 = 0, 4*p + x*s = 5*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 3:15 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 33*z**2 + 30*z + 31. What is k(-32)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + -710?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/3125*(-4)\/((-12)\/(-3))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n. Let w(i) be the second derivative of 4*i + 0 + 0*i**2 - 5\/6*i**3. Calculate w(b(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 26*x**3 - 15*x**3 - 13*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2))*-4 - (-1*sqrt(2) + -1).\nAnswer: -3*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p + 176. Determine j(-24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 7*n**2 - 9*n - 3. Let b be a(5). Suppose i = -b + 11. Calculate the highest common divisor of i and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7602000 to the nearest 100000.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2574)\/(-33))\/(-78)*34\/6*9\/(-15).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -427 less than -427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-4)\/3)*18. Let b(o) = -5*o**2 - 7*o - 12 - 2*o + n*o**2. Calculate the smallest common multiple of 8 and b(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2 + 3*g + 15. Let r be k(5). Let m = r + 120. Solve -2*y + 5*y + o + 10 = 0, m = 2*y + 2*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 34 + 42. What is the greatest common factor of 95 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let l(f) = -4*f + 80. Let b be l(18). Suppose 30 = -3*i + b*i. Let j(w) = w + i*w - 4*w. What is j(m(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 50. Let p = i + -4. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 8*q**2 + 6*q - 7. Let c(b) = b**2 + 6*b + 2. Let d be c(-4). What is the remainder when 83 is divided by f(d)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 6*w - a + 2, 5*w - 5*a = -100 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 162*q + 3 - 326*q + 175*q. Let p be k(-11). Solve -1 = p*w - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4718055 is divided by 674006.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -471, -1026, -1799, -2784, -3975, -5366, -6951?\nAnswer: -8724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 523*i**2 + 72*i - 71. Calculate z(1).\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31391.28 and -70181723.\nAnswer: -70150331.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**2. Let n(y) = 9*y**2 - 1. Let g(d) = -2*d**2 + 1. Let t be (-2)\/2 + 1 + (-5)\/(-5). Let l(v) = t*n(v) + g(v). Give l(q(w)).\nAnswer: 1008*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/(5\/3*41283\/(-16680))\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3283 - 3283. Which is the third biggest value? (a) -5\/2 (b) g (c) 28 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 7*k**2 + k + 6. Let d be r(7). Solve 4*b + d = -3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62243 less than -2031602.44?\nAnswer: -2031603.06243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -25992, -28, 2, 4 in ascending order.\nAnswer: -25992, -28, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6841 = -112. Let n = w - -4036. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*k + 2*h - 56*k**2 + 67 wrt k.\nAnswer: -h - 112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 27*n + 43 = 5*m, 5*n - 2*m + 41 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 4 = -2*j - 3*s, 1962 = 12*j + 3*s + 953 + 940 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/42936 and 77\/10734.\nAnswer: 42936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 770\/(-66)*(-4)\/(40\/42).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 14 - 9 - 6957*z)*(-2*z + 7*z - z)*(z**2 - z**2 + z**2).\nAnswer: -27828*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.192 - 0.192. Let q = 0 + 21.5. Let g = r - q. What is g rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2611 + 5229 - 2618 + 34*y. Let f(d) = 5*d. Let t(x) = -x. Let b(n) = -f(n) - 6*t(n). Calculate l(b(k)).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16133 and 207831.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -y + h, 6*h - h + 190 = 3*y. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l - 7. Let w be h(9). Suppose 0 = -5*o + 3*n - 74, 0 = -0*o - o - n - 18. Let u be o\/(-9) + w\/9. Solve -d - u = 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2. Let v be (-3)\/2 + 3 - 28\/24. Let q(t) be the first derivative of -1 + 0*t**2 + v*t**3 + 0*t. Give q(x(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 7. Let f be c(7). Let t(o) = -o**2 + 6*o - 3. Let h be t(2). Let b = h + f. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1796*-0.2.\nAnswer: -359.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 11, p: 2}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-92)\/(-8)*(-1 + 3) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -876*d. Let j(o) = -11*o**2. Determine n(j(k)).\nAnswer: 9636*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/2887?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 44. Let d = -17 - f. Let w(u) = -u - 1 + 3*u**3 + d*u**2 - 2*u**3 - 5*u**2. Determine w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 + 2*w + 11. Does 17 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*((2*sqrt(56))\/sqrt(8) - (3*(sqrt(7) + sqrt(112)))**2) - (sqrt(21) + (2*sqrt(210))\/sqrt(10))\/(5*sqrt(27))).\nAnswer: -21*sqrt(7)\/5 + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0, -3, -0.027?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19449?\nAnswer: 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*d*z**2 + 3340*d*z - 70843*d - z**3 + 19325024*z**2 wrt z.\nAnswer: 14*d - 6*z + 38650048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g - 18. Let s(y) = -22*y - 51. Let l(v) = -17*c(v) + 6*s(v). Let b(i) = -178*i. Determine b(l(m)).\nAnswer: -712*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -83, -111, 0.5, -1 in descending order.\nAnswer: 0.5, 0.1, -1, -83, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 2. Let c(x) = -4*x - 42. Let w(g) = g**2 - 6*g - 37. Let h be w(9). Let i be c(h). Let k(s) = s + 1. Let m = -7 - -2. Calculate i*p(n) + m*k(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b - 2*b**3 + 5*b + 8*b + 7*b + 0*b + 2 as r*b + y*b**2 + m + f*b**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -387 (base 10) to base 5\nAnswer: -3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*y**2 + 3*y**2 + 44*y + 7*y**2)*(3*y**2 - 9*y**2 + 0*y**2) + 1 - 1 - y**4 to u + t*y**2 + j*y + a*y**4 + x*y**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.5, -2\/105, -233, -5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1180, -1948, -3104, -4648, -6580, -8900?\n\"Answer: -194*g**2 - 186*g - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*k**3 - 36*k**2 + 17*k**4 + 4*k**4 + 98*k - 86*k.\nAnswer: 3*k*(k - 2)*(k + 1)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -698 + 8\/((-8)\/2). Let n = -412 - a. Suppose 2*i = 4*k + i - 556, n = 2*k + 2*i. Calculate the greatest common divisor of k and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649975 = 5*s - 5*o, -o = -6*o - 25. What is s rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 + 7*v - 163.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8953388877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 655\/78 - 107\/13. Which is smaller: z or 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0 - (-1 - 1 - (-368 + 349))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433357920?\nAnswer: 2, 3, 5, 151, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102727588*r + 88152244?\nAnswer: 102727588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g + 5*o - 33, 5*g + 2*o = 20. Let d(w) = 2*w**2 - w - 2 + 2*w - w**2. Calculate d(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -1030, -2332, -4160, -6514, -9394, -12800?\nAnswer: -16732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(15\/(-135)). Solve 3*f + 4*l - 17 = 0, j*f + 4*l = f + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 14 = 68 + 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 67595.\nAnswer: -1149115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035033453 (base 6) in base 2?\nAnswer: 101010100011100000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*j**2*m + 146*h**2*j*r + 5*h**2 + 2*h*j**2*m + 16*h*j**2*r - 7*h*j**2 + j**2*m*r + 3*m*r wrt h?\nAnswer: -4*j**2*m + 292*j*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.011 and 273.\nAnswer: 272.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0 - 1\/2*y**3 - 1\/60*y**5 - 1\/3*y**4 + 0*y + 7*y**2. Is 9 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/50)\/(4\/(-10)). Let i be (1 - 0) + 2\/(-4). What is the third biggest value in i, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4733*j + 4738*j - 29, -12*j + 22 = -g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13687 + -13685. Let f(c) be the first derivative of 33 + 2*c - 5\/9*c**3 - 1\/6*c**4 + 1\/6*c**a. Suppose f(q) = 0. What is q?\nAnswer: -2, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -609 - -634 - (5 + 3 + 18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 53 = 3*x - v - 13, 3*x - 16*v = -124 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32345005 (base 7) to base 10.\nAnswer: 2767672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 19 + -26 + 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92287, 92320, 92353, 92386, 92419, 92452?\nAnswer: 92485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 19*g + 1. Let y be o(-9). Let m be (-6)\/(-2)*(-4)\/(-24)*y. Put -5, 5, m, 2 in descending order.\nAnswer: 5, 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/48*-18\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**4 + 18*o**3 - 153*o wrt o?\nAnswer: -108*o**2 + 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9610 and 620.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - p - 3012. Let q be d(0). Let n = -2101 - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.04 (b) -0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -2217, -2, 5 in decreasing order.\nAnswer: 42, 5, -2, -2217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31282 divided by 3\nAnswer: 31282\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/5))**(-21)*v**(-2\/9)*v*v\/(v**(2\/9)\/v) assuming v is positive.\nAnswer: v**(-452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -301 (c) 3 (d) 0.1 (e) -66\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c744 (base 14) in base 11?\nAnswer: -4a750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 7*l - 2*l)*(0 + 97*l - 2 - 93*l) + 3*l**2 + l**2 - 6*l**2.\nAnswer: 34*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 11 - (-4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 224484 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82, -855, -2964, -7075, -13854?\n\"Answer: -111*u**3 - 2*u**2 + 10*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6954434 is divided by 228.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -26 - -32) + (-11 - (-3 - -3)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 2:32 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 18280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1253*s**5*x + 11*s**4*x - 47*s**2 - 6*s - 5*x wrt s.\nAnswer: -75180*s**2*x + 264*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456\/95*2\/(-7)*(-25)\/20?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m - l - 27, -5*l = -m + 9. Sort -1, m, 1\/2 in decreasing order.\nAnswer: 1\/2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*n + 6 = 0, 2*r + 9 + 0 = -3*n. Suppose r*p + 11 = -w - 0, 3*w = 4*p - 46. Let j be (-5)\/(-5) + 6\/(4\/(-24)*-9). Sort j, 1, w, -4.\nAnswer: w, -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37600 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utubxtxxnt. What is prob of sequence xbn?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 518*s + 3294. What is the units digit of w(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015024979 rounded to 7 decimal places?\nAnswer: -0.0001502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.117 - 0.917. What is the fourth smallest value in 30, 0.5, 1\/6, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266992189021202*f**3 + 2135937650818228*f**2 + 1109188914*f + 144 = 0. What is f?\nAnswer: -8, -3\/11554051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -628, -2505, -5634, -10015, -15648, -22533, -30670?\n\"Answer: -626*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626335.\nAnswer: 5, 37, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8402 - 8210. What is the greatest common divisor of 1392 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 425783426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2768*i + 2. Give w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99850, -99877, -99936, -100039, -100198?\nAnswer: -100425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 10. Let q = n + -10.1. Sort -0.5, 2\/3, q in descending order.\nAnswer: 2\/3, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2334, -2293, -2254, -2217?\n\"Answer: -j**2 + 44*j - 2377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 74906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2\/9 - 11734*p\/9 - 50960\/3 = 0.\nAnswer: -13, 5880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206 and 10506?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 + 2*s + 3. Let m be d(0). Suppose m*t - 112 = -t. Suppose -8*w - 4 = -t. Solve 16 = -3*u + x, -3*u = -w*x + 6*x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - (30\/168)\/5. Let k(p) be the first derivative of -3\/2*p**2 + 0*p**3 - z*p**4 + 0*p + 5. Find the second derivative of k(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688561813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 24. Let n(x) = 7*x**3 - 10*x**2 - 21*x + 18. Let y(a) = -3*a**3 + 5*a**2 + 10*a - 9. Let q(f) = -2*n(f) - 5*y(f). What is q(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 2*g**2 - 2*g**2 + (82 - 31 + 55)*(0*g**2 + 4*g**2 - 2*g**2).\nAnswer: 210*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42501973, 85003950, 127505927, 170007904, 212509881?\nAnswer: 255011858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2695627434.49999841 - -2695627452. Let u = a - 17.5. What is u rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.73, -3\/5, 0.4, -140?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*w + 29 = 0, -2*f + 4*w - 28 = 2*f. Let p = 3 - 2.6. Which is the nearest to -1\/4? (a) f (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -665453 - 560352. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15664613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252947\/4 - -2 - (-116)\/464 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 183738332474*h - 183738332474*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-307*i + 158*i + 23*i**2 - 2 + 151*i)*(i**2 + i**2 - 5*i**2 + (2*i - 2*i**2 - 2*i)*(1 - 1 + 1)) to o*i + y*i**2 + w + c*i**3 + g*i**4 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + (-6 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 37 - 6*k**2 + 9*k**2 - k**2 + 1 + 0 + (1 - 2 + 5)*(-k**2 + 0*k + 0*k) to m*k**2 + p + a*k and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2133 = a, -5*a + b + 797 + 9838 = 0. Calculate the remainder when a is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36060423131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from zzztzezzrtsozzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -680059 + 443589. What is i rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 941 divide 343465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 216?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**7\/21 + z**5\/5 - z**3\/3 + 5*z. Factor v(n).\nAnswer: -2*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnx when three letters picked without replacement from {k: 2, n: 10, x: 2}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 105 = -20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwujrlwl. What is prob of sequence jl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9130*y - 9130*y + 18255*y. Let c(p) = -55*p**2 + 5. What is u(c(s))?\nAnswer: 275*s**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(117\/(-18))\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - 0.19. Sort -1\/2, -4\/3, l.\nAnswer: -4\/3, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 - (-110)\/(-8). Let p = -17 - z. What is the units digit of 8\/3 + (-1)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -170, -207, -280, -407, -606?\n\"Answer: -3*q**3 - 16*q - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4 - 180*l**3 - 348*l**2 + 43732*l = 0. Calculate l.\nAnswer: -29, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjuzzu. Give prob of picking 1 z and 1 u.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1200 smaller than -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from {d: 1, l: 2, v: 2, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -5936621\/32 and -185519 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2595\/2*a**4 + 1575\/2*a**5 + 1041\/2*a**3 - 6 - 48*a - 63\/2*a**2 = 0.\nAnswer: -1, -2\/5, -1\/3, -1\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -155.23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + y - 3*y)*(-17 + 52 - 33 + 474*y).\nAnswer: 948*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -34*v + 11. Let t(i) = -11*i + 4. Calculate -3*s(u) + 8*t(u).\nAnswer: 14*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = -212 + 383 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10220112 - -10?\nAnswer: -10220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2) + 4 + -2.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.105\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 47*c + 152. Let o be r(50). Suppose o*h + k - 217 = -53, 4*k + 352 = 4*h. Calculate the remainder when h is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -960442 divided by -4?\nAnswer: 480221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31859149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/30*(-7)\/(-2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/19323 and -44\/3.\nAnswer: 19323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 19*n - 69 = 0. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246081*w + 2*w**6 - 246089*w - 91*w**3 - 85 - w**2 + 2*w**2 wrt w.\nAnswer: 240*w**3 - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (-2 - -7) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2 = 5*x, -30*i + 35*i - 110 = -5*x. Suppose -570 = -i*z - 20*z. What is the remainder when 56 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 1969?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, -0.4, 3\/2, -0.5, 0.48, 0.232?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, -3, 0, 74290533?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -719, -657, -589, -515?\n\"Answer: 3*j**2 + 53*j - 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -31) + (-21)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -x - 2, -5*u - 8*x - 5 = -4*x. Suppose 0 = -c - u*c + 236. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/24 - (-6)\/(-9). What is the remainder when (21\/9)\/(s\/(-252)) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 12*h + 1. Let i be j(-12). Let s = -5 + i. Let z be s\/12 + (-12960002)\/(-6). Round z to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220\/7 bigger than 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 435*k - k**3 + 1 - 875*k - k**2 + 442*k. Let x(l) = -7*l**2 + l + 3. Let z be x(2). Let b = -25 - z. Determine j(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2276109.\nAnswer: 3, 11, 83, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(11) + 3 - sqrt(11) - (1 + sqrt(539))))**2.\nAnswer: -12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 18894, -11, -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10113414202 (base 5) to base 3.\nAnswer: -201101000222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288807372.\nAnswer: 2, 3, 7, 19, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12090\/7254*8\/15?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 20*r**2 + 29*r - 5. List the prime factors of h(4).\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*(-4)\/18. Suppose 5*g + 9 = -3*r, g - 3*g + 6 = -2*r. Which is the nearest to g? (a) n (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*x + 52 = 0, -3*v - 4345*x + 4349*x - 48 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 5*j**3 - 6*j**3 + j. Let w(z) = -5*z**3 + 15*z. What is 15*r(f) - 4*w(f)?\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004977 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17183986?\nAnswer: 2, 59, 107, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 946551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 - 120.2. Let t = 198 + -202. Which is the nearest to -1? (a) -3 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*x + 10 = 0, -5*y = -y + x + 8. Suppose w - 12 = 4*t, -5*w + 2*t = -w - 20. Let m = w + y. Which is greater: 2\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190889144, 190889142, 190889140, 190889138, 190889136, 190889134?\nAnswer: 190889132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1511, 3014, 4517, 6020?\nAnswer: 7523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 184*x - 188*x - 3.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 112283?\nAnswer: 336849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(68) - 4*sqrt(68))\/sqrt(4))**2*-2 - (3*(1*sqrt(153) + sqrt(153)))\/(sqrt(9) + (sqrt(9) - ((sqrt(9) - sqrt(144)\/sqrt(4)) + sqrt(9)))).\nAnswer: -3*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 14. Let z be q(-13). Let f be z\/(-8)*23 + -1. Which is smaller: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3074196809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 265, 251, 231, 205?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -23232?\nAnswer: 23242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 238321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*m + k - 5*k, -5*k - 5 = 0. Calculate the highest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 5) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4043 (base 5) to base 11.\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 13815.9528.\nAnswer: 4144.78584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -9. Which is the second smallest value? (a) d (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, t: 8, x: 2, r: 2}. What is prob of sequence xii?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6840 - 4429. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 521378 and 118495?\nAnswer: 2606890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(1\/7)\/c))\/c*c\/c**(-5\/9)*c)\/(c**(-5)*c)**(-14) assuming c is positive.\nAnswer: c**(-3313\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 1024*b**3 + 65520*b**2 + 4096*b - 262144.\nAnswer: 4*(b - 128)**2*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 7:11 PM?\nAnswer: 717","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1025, -28, 1, 4.\nAnswer: -28, 1, 4, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:51 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (1 + sqrt(448))*3)**2.\nAnswer: 336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 1) + 2 + -2 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3322528322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + 20 - 34?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74669692*q**6 - 570*q**2 - 41297*q + 1.\nAnswer: -8960363040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -357566*o**2 + 246*o + 69 wrt o.\nAnswer: -715132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d**2 - d**3 - 2 - 13 + 15 - 25*d in the form s*d**2 + w*d + n + v*d**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 <= -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 5*f + 66. Suppose 2 - f = -4*b + 4*x, -9 = -b + 3*x. Factor 0 + 0*t - 3\/5*t**2 + 3\/5*t**b.\nAnswer: 3*t**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024378117 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 61 = -25 - 15, 4*p = 7*o - 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z. Let w(l) = -24*l + 72*l - 8 + 19 - 11. Give w(u(b)).\nAnswer: -384*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(-1 + sqrt(288) + -3 + sqrt(288) + ((sqrt(288) - (1 + sqrt(288)))*1 - sqrt(288) - sqrt(288)) + sqrt(288) + -4) + -5 + -5))**2.\nAnswer: -165000*sqrt(2) + 255625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**2 - 6742515*a - 4495014.\nAnswer: 3*(a - 749169)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.4188l to millilitres.\nAnswer: 792418.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 + 25 = 0. What is the lowest common multiple of 2 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1*-6)\/(sqrt(216) + -1*sqrt(216) + sqrt(216)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 + 165*r**2 + 324822*r - 3261720 = 0?\nAnswer: -308, 10, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468739 is divided by 3266?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -14.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 29*c**3 - 17. Let j(f) = -10*f**3 + 6. Determine 17*j(l) + 6*k(l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 4*n**2 - 3*n + 1. Let f be t(3). Let o(a) = a + 1. Let d(c) = -c**2 - 4*c - 7. Let m(j) = f*d(j) - 2*o(j). Solve m(q) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3225 + 0)\/((-5)\/(-4000)). What is i rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/12 - z**3 - z**2\/2 + 34*z. Suppose 42*u = 40*u - 112. Let n = u - -53. What is p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:26 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21960108323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 50, 1, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 11, n: 5}. Give prob of picking 1 d and 1 n.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -446 + -5.1271726051\nAnswer: -451.1271726051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23893*u - 71578*u + 23840*u + 23878*u.\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 7. Let i(l) = 1. Suppose -6*c + 2*c = -2*b - 26, -3*b = -4*c + 25. Let x = 2 - c. Determine x*i(d) - o(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4 (c) 443\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 304*p**3 - 30234*p**2 - 953064*p + 3139587.\nAnswer: -(p - 3)*(p + 93)**2*(p + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*u - 3*u**2 - u**3 + 4 - 77*u - 3*u**2 in the form b*u**2 + n*u + d*u**3 + r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163571342, -163571343, -163571344, -163571345, -163571346?\nAnswer: -163571347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -24. Let g = -4 + p. Suppose 29 = 3*b - g*u - 2*u, 0 = 3*b - 2*u - 37. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-3 + -1 - -366). Does 36 divide u\/(-2) + 14\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**6\/540 - s**5\/135 + s**4\/108 - 2*s**2 - 3. Let w(t) be the second derivative of g(t). Factor w(u).\nAnswer: 2*u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373052.\nAnswer: 2, 3, 31, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*a - 966 = -175*a. Solve -72*c + a*c = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6718, 11454, 16190, 20926, 25662, 30398?\n\"Answer: 4736*b + 1982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 10898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-45)\/(-25))\/(36\/11640). Let f = a - 580. Solve -3*z = -3*y + f*y - 10, z = y + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80528620163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -155.28.\nAnswer: 5590.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 5\/1 + 0. Let n be (-663)\/(-12) + (-2)\/8. What is the highest common factor of h and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 0*l + 3*l**2 + 4*l. Let u = 60844 + -60848. Give g(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*l - 191, -6*l + 9*l = -3*y + 192. Suppose -5*f + 15 = -y. What is the greatest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1075 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 674648566 to the nearest integer?\nAnswer: 25974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)\/(1\/(-2)). Let w be (-64)\/(-46)*1\/r. Let z = w - -1785\/46. What is the common denominator of z and 26\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from {t: 2, x: 2, j: 1, r: 2, o: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6 + 20 + 19 - 19 + 8*n. Let w(p) = -1 + 0 + p + 4. Suppose -23*j = 1253 - 57. Give j*w(b) + 6*m(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*q - 126 = -74*q. Suppose 2*v + 2*h + 3*h = 32, -4*v + 28 = h. Suppose 0 = -2*c - 0*c + v. Solve 6*a - c*a = q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 8*t + 41, -2*t + 3*t = -2*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 6:37 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-12)\/(-28))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012 = -16*d - 1868 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayi when three letters picked without replacement from afyiygga?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 380 + -331267?\nAnswer: -330777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -99641, -199315, -298989, -398663?\n\"Answer: -99674*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 35 = 4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/8*((-146)\/30 + 16\/240)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36478 + 53?\nAnswer: 3650b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31552205 (base 6) to base 2\nAnswer: -11100011100111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 0 (b) 0.21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14917558 to the nearest integer?\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27783?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*y**2 - 36\/7*y + 108\/7 + 4\/7*y**3.\nAnswer: 4*(y - 3)**2*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90707711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*f + 200 - 144 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 54*v**2 - 4*v - 4. Let g be x(-1). Let f be 33\/(-22)*110\/g. Let c = 28\/9 + f. What is the closest to -2 in c, 2\/7, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3\/(-6))*-4. What is the units digit of 1*w - 0\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i + 5*x + 32, -4*i + 52 = -x. Let j be (6 - 4)\/(1\/6). Calculate the highest common factor of j and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -72\/5. Put j, 6, -1\/4 in descending order.\nAnswer: 6, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4, 2*p + 5*n = -19 + 21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -14*r + 10*r + 2*t, -4*r + 29 = -t for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -91. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2. Let r(m) = 8*m**2 + 22. Give l(r(t)).\nAnswer: -64*t**4 - 352*t**2 - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114209 to 6 dps.\nAnswer: -0.001142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*424\/(-265)*35\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 238*t - 4066 + 1448. Solve -22*h + 19*h + t = 2*r, 4*r = -4*h + 24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/4*(-104)\/(-78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47296 is divided by 1182?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -17. Suppose 2*s - q - f = -0*q, 2 = 3*s + 4*q. Suppose -4*y + 805 = -c - 268, -s*y + 539 = -c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/30 + 602*p**2. Let c(w) = -w**2 + w. Let v(b) = 6*b**2 - 8*b. Let i(t) = -8*c(t) - v(t). Give i(l(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 466416321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192139626.\nAnswer: 2, 3, 7, 4574753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5475 - -21895\/4. Which is the closest to 2? (a) 1 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9897487 a multiple of 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.3+-17182695\nAnswer: -17182696.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**5\/300 - d**4\/30 + d**3\/10 + 19*d**2 + 85*d. Let u(o) be the first derivative of z(o). Solve u(c) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 11*q**2 + 3*q**3 + 19*q**3 + 11*q**2.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r + 3. Let u be 1\/(2\/4*r). Let p be 2 + 1\/(1\/(-2)). Solve p = -3*l - f + 11, -25 = -3*l - u*l - 5*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2055)\/548*(-147)\/(-14)*((-32)\/(-36))\/(-2).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -344800 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**3 + 2*q**2 - 9*q - 49. What is the least common multiple of 3 and t(-4)?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l - 18. Let a be w(7). Let p = a + -3. Suppose 4*r = -3*h + p, -6*h - 65 = -11*h - 3*r. Solve 4*k - 19 = -g, -2*g - 2*g - k = -h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 71\/19883?\nAnswer: 71\/19883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**4 + m**3 + 279*m - 9*m**4 - 281*m + (1 + 2 - 4)*(2*m**4 - 3*m**2 + 3*m**2).\nAnswer: -18*m**4 + m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b - 1. Factor -6*g**2 - 3*g**3 - g - 2*g + b*g.\nAnswer: -3*g**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (34 + -2 - -6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 8*z**2 + 11*z - 5. Let y = -43 + 50. Suppose -2*f + 3*f = y. What is the units digit of a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 0.4, 4\/5, 0.1 in increasing order.\nAnswer: -72, 0.1, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o + 31 - 39 + 8 + 10*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 + 4*o**4 - 3*o**4 + (0*o**3 + 0*o**3 - 2*o**3)*(3*o - 2*o - 4*o) to m + k*o**4 + q*o**3 + t*o + i*o**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -778.45 - 4.55. Let f = o + 783.7. What is the fourth biggest value in -1, f, 0.3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1189, 2303, 3419, 4537, 5657, 6779?\n\"Answer: c**2 + 1111*c + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 0 (c) 0.2 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3432 + -17161\/5. Put -0.1, -28, -0.16, -4, r in decreasing order.\nAnswer: -0.1, -0.16, r, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 50020 = 4390. Suppose 31*y = 16*y + f. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 - 86 = 4*o. Suppose 720 = 10*t - 420. Calculate the remainder when t is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*h + 6 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 17*g - 184. What is p(0)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22030d5 (base 14) to base 5.\nAnswer: 13113040024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1021\/1000?\nAnswer: -1021\/1000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 368 - 831. Let k = q + 369. What is k rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -19. Suppose -170 = -1035*i + 1033*i. Calculate the highest common divisor of z and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -102.8 - -112. Let g = z - 5.2. Which is the nearest to 0? (a) 0.5 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykk when three letters picked without replacement from {k: 16, y: 4}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 377, 346, 315, 284?\n\"Answer: -31*p + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*b - 12 - 4\/3*b**3 - 28\/3*b**2.\nAnswer: -4*(b + 1)*(b + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + -2 - ((sqrt(104) + sqrt(104)*-2)\/sqrt(8) - sqrt(13)).\nAnswer: -2 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + q - 17, 0*u + 3*q + 125 = 5*u. Calculate the lowest common multiple of u and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -38*c + 244. Does 106 divide l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 17300*m**2 - 225595*m + 520950.\nAnswer: 5*(m - 10)*(m - 3)*(m + 3473)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148 divided by 4?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 - 5 = 0, 0 = 2*j + 3*x + 30. Let l = 16 + j. Suppose l - 15 = 2*c. Which is greater: -10\/3 or c?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27120, 27173, 27270, 27423, 27644?\n\"Answer: 2*m**3 + 10*m**2 + 9*m + 27099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -261920739?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5808475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 257162902 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -975*w - 8. Let t = -185 + 180. Is q(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28257048*m**5 + 24*m**2 - 7664441 wrt m.\nAnswer: 1695422880*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t - 17*t = -1 + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3693 + -3689.2. Put -5, 1, -2\/3, l in increasing order.\nAnswer: -5, -2\/3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -85415.68 - 10.3\nAnswer: -85425.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 30586\nAnswer: 83\/30586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4 + 348*w**3 + 531656*w**2 + 79300560*w - 160730496 = 0.\nAnswer: -246, 2, 664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 87*y**2 + 2959*y - 257440. Calculate s(87).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 38*c - 4. Let v(n) = 12*n - 1. Give 2*a(s) - 7*v(s).\nAnswer: -8*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, 4, 73, 226, 493, 904, 1489, 2278?\n\"Answer: 5*n**3 - 3*n**2 - 11*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 67\/5 - 198\/495. What is the highest common divisor of 10192 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/6 - (-24 + 34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 53*o**2 + 123*o + 58. Give c(28).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1681 times 0.096?\nAnswer: -161.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45977080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 2, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 2. Let o be n(-2). Suppose -2*w + o*w = -2. Let r be 1801 - (0 + 2 + w). Round r to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23407.9 + 23408. Let b = -2 + 3. What is the closest to b in -0.02, 4, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 6\/(1 - 7). Suppose 0 = -m + 4*p + 4 + 23, f*p = -5*m + 63. Calculate the greatest common factor of m and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k + 95 = 0. Let v = -17 - k. List the prime factors of 81 - (3 - v)*3.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jij when three letters picked without replacement from {j: 4, i: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.172 + 0.028. Let k = 8 - 6. Let b be (-4)\/k*(-4)\/60. Put s, -0.2, b in decreasing order.\nAnswer: s, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 3. Let k be d(3). Let g = 2 - k. Is g greater than or equal to -1\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4890 = 4*g - 2*b, -b + 4885 = 4*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 175776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 560 = 37*o. Let q be (-3)\/(45\/o) + 6. Suppose h - 2 = -0. Which is the biggest value? (a) -4 (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 225407.5 litres in millilitres?\nAnswer: 225407500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) -1 (c) -0.004 (d) 1\/8 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1620, -5147, -11024, -19251, -29828, -42755?\n\"Answer: -1175*o**2 - 2*o - 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) + (-330)\/(-77). Suppose m*i + 3*b - 3 = -0*b, -4*i = -5*b - 27. Let n be 38\/i - (-3)\/9. Solve 2 = g + t - 3, t - n = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 8*r + 8. Let h(c) = 2*c - 1. Let w(b) = -2*h(b) - x(b). What is w(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/37 (b) 3 (c) -29 (d) -3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284953 (base 14) to base 8.\nAnswer: -5246115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 7*h**2 + 8*h + 2. Let n be r(8). Let z = 4 - n. Suppose -2*b = -z - 6. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u + 3. Let f be k(0). Let y(w) be the first derivative of -1 - 1\/3*w**f - 1\/2*w**4 + 0*w + 0*w**2. Find the third derivative of y(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 71.1616 and 8.88.\nAnswer: 80.0416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 263, -4 in ascending order.\nAnswer: -4, 5, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) - 11\/(-4). Suppose 8*i - 10 = -5*s + f*i, 2*s = 5*i + 18. Suppose -27 = -s*a - b, a + 3*b = 5*a - 15. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1039*c - 780. Calculate the remainder when n(17) is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315 = 1094*c - 622*c + 6035 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -1. Let d be (9\/6)\/(l\/20). Let w be 26\/10 - 4\/(-10). Solve 0 = -w*z + d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 771, 1175?\nAnswer: 1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 6*m + 12. Let t be c(4). Suppose 3*y - 5 = -o + 2, -t*y = -4*o - 36. Solve 9 - 29 = y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/d**(2\/27)*(d\/d**(-3\/11))\/d*d\/d**(-7\/3) assuming d is positive.\nAnswer: d**(158\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7517, 15022, 22529, 30038, 37549?\nAnswer: 45062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.4509 + 8.57. Let g = n + 508.8809. Let j = g - 508.999751. Round j to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2\/7 (c) 1458\/25 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*x + 145 = 0, -77 = -v + 17*x - 14*x. Calculate the remainder when v is divided by 4\/(-18) - (-173)\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8180279.\nAnswer: 19, 41, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261975.6 milliseconds to days.\nAnswer: 0.003032125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 6. Suppose -x = -169 - 27. Let n = x + -136. What is the greatest common factor of n and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*b*m - 12*b + 152*m - 2 wrt b.\nAnswer: -17*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1811 - -0.36.\nAnswer: 2.5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71076442.\nAnswer: 2, 2221, 16001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 635 - 368. Suppose 5*o + 101 - g = 3*x, 56 = 2*o + 4*x. Solve -3*r + 2*k = -3*k - o, 5*r - 2*k = 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -251404.\nAnswer: 1\/251404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4745 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 230.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-6))\/(40\/(-72)). Let n = 0.3 + -1.3. What is the third smallest value in -5, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 9:54 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/(1\/8). Suppose 0 = -u + 4*x + 20, 0 = -3*u - 2*x - x. Solve g + 16 = 5*g - u*m, m = -k*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 - 0.6. Sort -0.4, b, 0.1.\nAnswer: b, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 728, 1401, 2074?\n\"Answer: 673*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/308332 and -33\/783001.\nAnswer: 59508076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b**2 - 4*b**2 - 2*b + 1 - 2*b**2 + 3. Let s be o(3). Let p(u) = -2*u + 17. List the prime factors of p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/40)\/(2\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -7. Suppose 1 = 4*z - 5*l, z + 3*z + 4*l + 44 = 0. Let x be ((-15)\/z)\/((-2)\/(-52)). Calculate the greatest common divisor of x and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 25*a**2\/2 + 807*a - 6960. Determine b(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/((sqrt(8) + (sqrt(8) - sqrt(32)\/sqrt(4)))*2))\/((sqrt(252)*2 + sqrt(252))\/sqrt(9)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(-90) + (3\/(-30) - 4\/(-10)). What is the third smallest value in y, 4, 0.5, -300?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-5)\/((-10)\/32). Let z(v) = -4*v + 2. Let t be z(-6). Let f = t - j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-32 - -3 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52872*n**5 + n**4 + 3006454*n**2 wrt n?\nAnswer: 3172320*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*c = -366 + 372, -4*c - 41 = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -33. Let l = r - 1. Sort l, -3\/5, 2\/15.\nAnswer: -3\/5, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.2 + 8. Let b = -58.7 + 59.7. What is the fourth biggest value in -0.1, f, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 2*c - 71, -231*c = -34*p - 467*c + 237*c + 70 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*(c\/c**(-2\/7))\/c)\/c)*c\/c**(-1\/4)*c*(c*c*c\/(c*c*c**0))**(-22\/7)*(c**(-2\/3))**(-1\/8)*(c\/(c*c**(-2)*c*c))\/c**(2\/27) assuming c is positive.\nAnswer: c**(-32\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 2*t - 5 + 9*t as b*t + h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 6786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0*a - 6*a - 6 + a**2 + 0 + 2. Let l be 2 + 23\/5 - 3\/5. Let v be m(l). Is v bigger than -19\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -67*k - 38*k + 81*k. Let i(t) = t**2 + 4. Determine r(i(y)).\nAnswer: -24*y**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 6:24 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -125, -95, -45, 25, 115?\n\"Answer: 10*s**2 - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231a (base 16) to base 13.\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13646505 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 170, 634, 1554, 3086?\nAnswer: 5386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11439402 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101120 + 110?\nAnswer: 1102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 842.141 + -842. Let o = -1.141 + m. Let q = -0.3 + 0.1. Put q, o, -0.4, -1\/11 in decreasing order.\nAnswer: -1\/11, q, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 15*r**2 + r + 2. Let u be s(2). Suppose 2*c - 24 = u. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468))**2 - sqrt(52) - sqrt(416)\/sqrt(2)) + (1*sqrt(1911))\/sqrt(3)*-3.\nAnswer: -27*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 0.3, 2\/3, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.3, 1057?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267 - -239. Let t(d) = 2. Let b(a) = a - 14. Let c(g) = f*t(g) - 4*b(g). Let s(i) = 7*i**2. Calculate c(s(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -452*d**2 + 25*d**3 - d + 452*d**2 + (d + 3 - 3)*(4*d - 4*d + 6*d**2).\nAnswer: 31*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = l + 2*r, -2*r + 2 = -2*l - 0*r. Let z be -1*(20\/(-12))\/(-5). Which is the third smallest value? (a) z (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1287, 5, 4, 3, -3, 17.\nAnswer: -3, 3, 4, 5, 17, 1287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -25*n**2\/2 - 116*n - 8299. Give s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -429225, -429179, -429129, -429075, -429017, -428955, -428889?\nAnswer: -428819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30247961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -551*k. Let r(f) = 24*f. Let l(y) = -5*n(y) - 114*r(y). Let x(d) be the second derivative of d**4\/12 - 5*d - 7. What is l(x(v))?\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2462760.\nAnswer: 2, 3, 5, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 6 = -5*h + 14, 4*r = 3*h + 8. Suppose x + 220 = 6*n - n, h = 2*x. Let j = 0.3 - 0.7. What is the biggest value in n, 0.4, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/4)\/((-1)\/1). Suppose p = -h + 11. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.48204788 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -522\/11*d - 1620\/11 - 2\/11*d**3 - 56\/11*d**2.\nAnswer: -2*(d + 9)**2*(d + 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9738, -19621, -29500, -39381, -49270?\nAnswer: -59173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-4 - (4 + -9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -10 (b) 6 (c) -3\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 100. Let k(u) = u**2 - 7*u + 4. Let x be k(7). Solve -m = -t - x*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2. Suppose 9 = -3*o + 27. Suppose 3*i - 9 - o = 0. What is the smallest common multiple of i and a(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -3, 4, 23 in increasing order.\nAnswer: -10, -3, -2, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12.981*-700\nAnswer: -9086.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*h - 378 = 62*h. Sort -34, h, -10 in ascending order.\nAnswer: -34, -10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017247 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -13, 26, -1 in decreasing order.\nAnswer: 26, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 91681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 < -25913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in 0.05, 4, 0.2, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 - 23*b + 39. Let n be l(-13). Suppose v + v - 2402 = n. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -22*a. Let t(i) = 283*i - 2. What is t(r(l))?\nAnswer: -6226*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -1\/8*m**4 + 8 - 2*m**2 + 0*m - 1\/120*m**6 + 1\/3*m**3 + 0*m**5. Determine a(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 1\/615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*r = 0, 51*w + 2*r = 29*w + 27*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 8*j - 11. Let x be m(-7). Let y be 5*(-5)\/20*x. Which is greater: -4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*i**4 + 17*i - 10*i**4 - 17*i - 12 - 154 wrt i?\nAnswer: -180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*y - 2*y + 12 = 0, -28 = -2*d - 5*y. Let m(x) = -x**2 + 6*x - 4. Let o be m(d). Solve -4*w = -3*n - 2, -14 = -5*w - o*n + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.8 in -5, 0.1, -2992.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502966467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ana when three letters picked without replacement from {u: 1, e: 1, n: 1, a: 2, m: 1, f: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(2\/3))\/((j\/(j\/j**(2\/9)))\/j))\/(j*j*j\/j**(-1))**49)**(-26))**43 assuming j is positive.\nAnswer: j**(1960972\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 0*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 175\/(((-1)\/3*-3)\/(-800)). What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6093855 hours in weeks?\nAnswer: 0.0214844375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -160 (c) -1\/13 (d) -3\/10 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 683798 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (16 - (5 + (-4 - 6) + 19 + -11))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70734357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 784, 1944, 3568, 5656, 8208, 11224?\nAnswer: 14704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2828 + 762. What is h rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * 2\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70, 284, 644, 1150, 1802, 2600?\n\"Answer: 73*d**2 - 5*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**20*g*g**(-1\/29)*((g*g\/((g**20\/g)\/g)*g)\/g)**48 assuming g is positive.\nAnswer: g**(-21664\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let s(b) = -10*b + 83*b**2 - 77*b**2 - 7*b**2 - 10*b. Determine s(l(c)).\nAnswer: -c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 4*z - 6, 4*m = -z - 10. Which is the second smallest value? (a) 2\/67 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 27*v + 10. Does 4 divide m(-31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 50, -2\/15, -53?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -46466113600*m**2\/7 - 50872160*m\/7 - 13924\/7 = 0.\nAnswer: -59\/107780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 336*t + 3354. Give w(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 153*a\/2 + 310.\nAnswer: -(a - 310)*(a + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + sqrt(539)*2)\/sqrt(11))\/(sqrt(700)*1).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*z**4 - 2028070*z**3 - 149*z**2 - 3*z + 11003 wrt z?\nAnswer: 312*z - 12168420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - 2.75. Let v = 0.6 + w. Suppose 3*t = 8*t + 2*p - 10, 0 = -5*t + 3*p - 15. What is the second smallest value in -5, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 11*x**2 - 14*x - 22. Let z be w(7). Let k = -83 + 121. What is the highest common divisor of z and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6545 divide 663390290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 + 6*p + 8. Let s be b(7). Let o(y) = 19*y**3 - y + 1. What are the prime factors of o(s)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -0.5. Let n = 3.5 - 5. Let g = 1.1 + n. What is the third smallest value in a, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p. Let h(w) = 2*w**2 + w. Let t(u) = -4*u**2 - 9*u. Let i(a) = 4*h(a) + t(a). Give i(x) - 3*o(x).\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1112122221?\nAnswer: 1112200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -220 smaller than -488\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/1021 + 23395\/44924. Calculate the common denominator of -97\/20 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 448*v - 444*v = 19, 3*v - 10 = v - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 14*t**3 + 17*t**3 + 4 + t + 11*t - 2*t**4 - 2 to i*t**3 + y*t**2 + x*t**4 + g + q*t and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwgywywwwyywywyw. What is prob of sequence wg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s + 211. Let f be y(-26). List the prime factors of 5583\/9 + f + 7\/(-21).\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(2*sqrt(60)\/sqrt(3) + sqrt(20)))\/(((-1*sqrt(90) - sqrt(90))*2)\/(sqrt(567)\/sqrt(7))).\nAnswer: -27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**2 - 17*c - 7. Suppose 226 = 59*d - 69. Let m(f) = -5*f**2 - 9*f - 4. Determine d*m(o) - 3*t(o).\nAnswer: 2*o**2 + 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 97180 (b) 0.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-8) - 1)*2\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**2 - 352*b + 18. Give f(44).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117811 * 6.\nAnswer: -706866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -93504, -186701, -279898, -373095, -466292?\n\"Answer: -93197*t - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10032773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 2\/(-4))*(0 + -4). Let u(y) = -y**3 - 18*y**2 + y + 22. Let h be u(v). Is (h\/(-2))\/(10\/(-5185)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y + 4. Let g be p(3). Let x = -0.4 - 0. Let s = -59.8 + 60. Which is the biggest value? (a) s (b) x (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + ((sqrt(1100) - -3*sqrt(1100)) + sqrt(1100) + sqrt(1100))**2)) + 1.\nAnswer: -39599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r = 2. Sort -4, -6, r in decreasing order.\nAnswer: r, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4300964817.\nAnswer: 3, 5231, 274069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*u + 127, -r = 3*u + 116 - 26. Let h = u + 72. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 311418818*g**3 + g**2 + g - 76134215 wrt g.\nAnswer: 1868512908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65419 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 110\/33 - 3\/9. Suppose z*o = -5*o + 2200. Does 25 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 173*s + 5. What is the units digit of x(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41732993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - r**3 - r - r**2 - r**3 + r**2 + (-3*r - 5*r + 4*r)*(5*r**2 - 4*r**2 - 2*r**2))*(-1 - 2 + 2) to the form q*r**3 + j*r**2 + z*r + n and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (5 + -1)\/(-2). Let a(t) = -311*t**2 + 8*t - 4. Let u be a(j). Let o = u + 183475\/12. Find the common denominator of -31\/2 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssoooooooooosso. Give prob of sequence ssss.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69744152 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: Does 13 divide 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03669 from -0.46646.\nAnswer: -0.42977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134322, 268645, 402968, 537291, 671614, 805937?\nAnswer: 940260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33474 + 23337.\nAnswer: -10137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxw when three letters picked without replacement from opopgowgxp.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c + 4000 = -3705 + 12848 for c.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5656603121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191*b**3*g - 18*b**2*g**2 - 1106*g**2 + g wrt b.\nAnswer: 573*b**2*g - 36*b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 1267656460218?\nAnswer: -1267656460217.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 - -1 - 1425008\/(-26364).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + d, -5*d + 10 = -10. Let h(t) = 5*t - 6. Let z(r) = -r + 1. Let o(a) = k*h(a) - 6*z(a). Let b(x) = -x**2. Determine b(o(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*(-3)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 divided by 173?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13344, 13261, 13112, 12891, 12592, 12209?\nAnswer: 11736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11*d - 2. Let j be r(3). What is the hundreds digit of 140*(j\/(-20) + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 23\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = -0*j. Let l be (-60)\/(-25) - (-6)\/j. Suppose -3*o - 2*z + 61 = 0, -4*o + l*o = z - 20. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 20. Let m = 24 + v. Let a(u) = -65*u + 344. Let k be a(5). Solve -4*s - 5*q = -21, -5*s - 5*q + k + 1 = m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h**3 - h - 1. Let w be q(-1). Which is greater: 5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -24 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -275393 and 1.5?\nAnswer: 275394.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1.4, -4, 9, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -8*j - 25. Solve 0 = -0*r + 5*r - j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/530821671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9631 - -12713. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o = -0*o - 13340. Let n = -285 + o. Solve -6*q - 35 = -n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*j + 6 = -5, -2*j = 3*k + 1. Suppose 0 = -r + 2 + k. Solve 3*u = -5*l - 1 + r, u - 2*l + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/10, 12, -0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100001110101010011111 (base 2) to base 12.\nAnswer: 10a7253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 247628, 990804, 2229440, 3963536, 6193092?\n\"Answer: 247730*v**2 - 14*v - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -74\/3. Let d = 1 - 3. Let x be -1*0*2\/d. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(48\/5280*77)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -531529\/70 - -7593. Find the common denominator of s and -161\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12239800*k**4 + 28557007 with respect to k.\nAnswer: -48959200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172.37 + -2.37. Let g = l - 310. Let c = 135 + g. Sort 0, 4, c.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n + 4*k - 18 = 0, -22 = 5*n - 4*k. Which is the nearest to n? (a) 1\/5 (b) -5 (c) -0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 2. Let u(j) = 2*j - 5. Let n(f) = 5*p(f) + 2*u(f). Let i be n(-2). Let x(y) = 15*y**2 + y. Is x(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.45. What is the second biggest value in -0.3, 0.3, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6915*r - 54856 - 74565 = -25696 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a - 45. Suppose -5*d = 262 - 237, -4*n = -5*d - 121. Let l be 6*3\/a + n. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 3*r**2 + 2*r - 2. Let b be q(3). Suppose b*a - f - 8 = 0, 4*f = -a - 3*a - 12. Is a < 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3010 and 268320.\nAnswer: 1878240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -134, -146, -162, -182?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + (-17 - -24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 1. What are the prime factors of z(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31\/(-248))\/(38\/(-24)))\/((-3)\/4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.11 (b) -11 (c) -2\/13 (d) -2\/3 (e) 1 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10679636968734 + -0.04.\nAnswer: -10679636968734.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, g: 4, j: 6, m: 2, d: 1}. What is prob of sequence jjw?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6014897 divided by -49?\nAnswer: 122753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 595 = 2*q - 417, -5*q = 5*b - 1260. Let m be (-16)\/40 - b\/(-10). Let i = m - 20. Solve 3*t = i*v - 2*t - 5, 0 = 3*v - 4*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8718.737kg to micrograms.\nAnswer: 8718737000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t - 5. Let f(g) = g - 2 - 4 + 7*g. Let h(a) = -5*f(a) + 6*q(a). Let l(o) = 10798*o**2 - 3*o - 10799*o**2 + 3*o. Give l(h(d)).\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0\/n)**(5\/2)\/((n*n\/n**(-1\/13))\/(n**(1\/6)*n)) assuming n is positive.\nAnswer: n**(-133\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 7\/20*d**5 - 17*d + 0*d**4 - 33\/2*d**2 + 1\/6*d**3 + 0. Let p(y) be the first derivative of a(y). Differentiate p(w) wrt w.\nAnswer: 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 9*o + 70 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(833))**2 + 2.\nAnswer: 70*sqrt(17) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let v(m) = -2015*m - 1794*m + 1087*m. What is v(b(c))?\nAnswer: 2722*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*d**2 + 96*d**2 + 636 + 483 - 292*d**2 + 100*d**2.\nAnswer: d**2 + 1119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a factor of 9682412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -33130161*s**2 - 17031*s + 698271. Let v(p) = 9727*p**2 + 5*p - 205. Determine 17031*v(z) + 5*y(z).\nAnswer: 9732*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 - 176976*w - 176978 = 0.\nAnswer: -1, 88489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 32 - (-4 - -1) - -8\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*t - 6, t + 2*z - 5 = 8. Suppose 5*s + 3*x - 95664 = 283830, t*x = -6. What is s rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -7*r**4\/18 - 187*r**3\/9 + 18*r**2 - 3*r + 4. Let y(d) = 0. Calculate d.\nAnswer: -27, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308a7 (base 16) to base 6\nAnswer: -4132251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/24)\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**3 + x**2 - 2*x + 2. Let h be n(1). Suppose 275 + 283 = h*j. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7748 + 2073 = -5*o. Suppose -o = -5*t - 5*a, 0*t + 4*a + 948 = 4*t. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-216)\/(-162))\/(2*(-2)\/(-7698))?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -163, -2, -2\/5?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 - 359. Let j = t - -105.8. Let s = -12.39 + j. What is s rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1624499 or 11371499\/7?\nAnswer: 11371499\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 4 - (14 + (31 - 32))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 2*n**2 + 5. Let w be j(0). What is the nearest to w in -2, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68679 + -33910. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**3 - 535 + r**3 + 626 to p + g*r**3 + l*r**2 + v*r and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5993488.\nAnswer: 2, 29, 12917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-80 + 72 + 14 + (-3 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20638 is divided by 459.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (339\/630 + (-4)\/7)*4. Let w be (-7)\/(-28) + 18\/(-8). Which is the nearest to w? (a) -0.04 (b) 1\/8 (c) -1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*x - 20 - 63 = 0, 0 = -3*f + 5*x - 97. What is the units digit of 145\/f*704\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 781 = 4*k + 277. Let c = -73 + k. Is c + 2 + (-5 - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwhjssrrhh. What is prob of picking 2 h and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.61 - -1.12. Let j = 0.51 - q. Let p = -25.99922 + j. What is p rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78013\/13 - (-3 + 5 - 0)?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -254, -19380, -5, -2 in increasing order.\nAnswer: -19380, -254, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 2*s - 2. List the prime factors of d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus 15875.36116905?\nAnswer: 15875.38116905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -666*n*v**6 - 5639*n*v**3 - n - v**2 - 1130669 wrt v.\nAnswer: -79920*n*v**3 - 33834*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -144*m - 101 with respect to m.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 146741869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -255, 2\/13, 99?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 98 = -746. Let c = k + -254. Let f be (-3)\/(-8) + 3465\/c. What is the greatest common factor of 84 and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 2752, -3\/265?\nAnswer: 2752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:42 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/8)\/1)\/((-5)\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2\/3 + 1344460*r - 4033385\/3 = 0. What is r?\nAnswer: -806677, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.13 - 0.13. Suppose -s = 2*s - 3*b - 27, 4*b = -s - 6. What is the closest to w in 0.04, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -7, 1 in decreasing order.\nAnswer: 1, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1011100 (base 2) to base 15\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let p = -31 - -28.9. Let z = p - s. What is z rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 709*r**2. Let g(n) = 38*n**2. Give g(b(a)).\nAnswer: 19101878*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2647, -1768, -889, -10?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (190*z - 190*z + 68*z**2)*(66*z + 84*z + 37*z) to q*z**2 + g*z + d*z**3 + j and give d.\nAnswer: 12716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 15 + 4*a**2 - 30 - 37 + 23 in the form z*a**2 + t*a + d and give d.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*t - 45*t + 960 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176508.3 kilometers in centimeters?\nAnswer: 17650830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 422787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(3\/6 + -1). Let y = -114 + 111. Sort -1, s, 1, y.\nAnswer: y, s, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*d + 65 = 0, 10617*k + 17 = 10616*k - 3*d for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/16, -1, -4, 2.099?\nAnswer: 2.099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 25 = 2*a. Suppose 2*k - 8 = 0, 4*k = 6*m - m - 59. Solve 0*z - a*z = m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - a = 60. Let z(i) = -2955*i + 50. Let c be z(a). Round c to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/21 bigger than -267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/(-48)*-42*(-2)\/2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/3 - 182308*z\/3 + 182312\/3.\nAnswer: -4*(z - 1)*(z + 45578)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002878905389 to 7 decimal places.\nAnswer: 0.0002879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333540)\/(-10395) - (-4)\/42) + (-2)\/11.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 5*d + 1. Suppose -246 = 4*h + 2*u, 9 = -h - 5*u - 48. Let i = 64 + h. Let j(n) = -n**i - 2*n**2 - 80*n + 3 + 69*n. Give 3*j(b) - 7*t(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 57.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8ab + 7?\nAnswer: -8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, v: 6}. What is prob of picking 2 e?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:53 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 + 1 + 0 - 17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2456*h**2 - 1222*h**2 - 1240*h**2 - 21.\nAnswer: -6*h**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 26 = -2*i + 13*n, 3*i - 2*n - 23 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000143646 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*i = 1844*i - 82 - 5644 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llsfgfwfsfssgsgfls. What is prob of picking 2 f and 2 g?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 12*q = 16*q - 4, 4*q + 4 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - -1.3. Let n be (-6 - (-9 + 0)) + (-87)\/30. What is the closest to n in i, -3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((49\/2)\/7). Suppose -2*s + 6*s + 3*g - 11 = 0, 0 = 4*g - 20. Which is the closest to 1\/7? (a) -2\/5 (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(108)*1)*2*-6 + -2)**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/((803\/(-1606))\/(2*2\/(-16)*-2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 4\/15*r**6 + 2*r**2 - 7*r + 0*r**4 + 0*r**3 + 0*r**5 + 0. What is the derivative of t(n) wrt n?\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d + 22. Let n(x) = -7*x + 11. Let y(i) = 5*n(i) - 3*t(i). Let u be y(4). Solve 0 = -5*f + 4*g - 21, 11 + 4 = 5*f + u*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20, -30, -34, -32, -24?\n\"Answer: 3*w**2 - 19*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4770924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcgc when four letters picked without replacement from {s: 3, g: 3, u: 3, c: 3, b: 1, a: 1}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -53 (b) -0.39 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -1\/6*o**3 - 1\/12*o**4 + o + 3*o**2 + 2. Let k(d) be the first derivative of z(d). Calculate k(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -587 + 585. Sort -8\/7, a, -0.3, 2\/7.\nAnswer: a, -8\/7, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1605 - 2.1625. Let u = 0.002 + d. Let j = -2.6 - -2.9. Which is the closest to -0.1? (a) j (b) -4\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6514?\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 203126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 308. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147841 - -837\nAnswer: -147004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -903*q**2 - 7*q - 13*q - 9*q - 9*q + 0*q + 39*q.\nAnswer: -903*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-13 + (-44 - -57) + (6 - 1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 2 - y**2 + y + 4 - y. Let o be l(-3). What is the third derivative of -x**2 + o*x**2 - 2*x**6 + x**2 + 0*x**6 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0076265 rounded to 3 dps?\nAnswer: 1.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -146, -128, -92, -32, 58, 184?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwkp when four letters picked without replacement from {k: 2, w: 2, l: 2, m: 5, p: 2, e: 3}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzxzzx. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201867 + 94063. What is p rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = 4*m - 112, -m - 3*n = -39. Factor 8*s**2 + 29 - 56 - 2*s**3 + 10*s + m.\nAnswer: -2*s*(s - 5)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 + -74. Let q(f) = -f**2 + r - 3*f - 30 + 2*f. Let o(x) = 2*x**3 - x**2 - 2*x + 2. Determine -o(t) + 2*q(t).\nAnswer: -2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/11 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 15*g + 56 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 25*q = -1568. Does 46 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 51535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*j = 4*x - 696, 3*j + 3 = 0. Suppose 3*l = -d + 172, d - 4*l + x = 2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30ac014 + -2?\nAnswer: 30ac012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -169, -253, -339, -427?\n\"Answer: -i**2 - 79*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:40 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.057 (b) 0.3 (c) 3.1 (d) -6 (e) -2.5 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/16899 and -55\/84.\nAnswer: 473172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 2:32 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 - 43*s**2 - 159*s - 117 = 0. Calculate s.\nAnswer: -39, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbxbbbbbbxbbbbb. What is prob of sequence xbx?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 + 4*q**2 - 9*q + 7. Let a = 418 - 416. Let m be o(a). Calculate the highest common factor of 427 and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2976899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/120 - j**5\/6 + j**4\/3 + 5*j**3\/3 - 19*j**2 - 2*j - 2. Let s(n) be the first derivative of p(n). Give s(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y + 53*y + 1101*y**2 - 26*y.\nAnswer: 1101*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 263797751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*w + 10 = 0, 25*d - 22*d + 25 = -5*w. Which is smaller: -1\/1248 or d?\nAnswer: -1\/1248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 14 = 3*i - 13, 0 = -4*q + 4*i + 28. Suppose 0 = 2*y - 5*y + q. Put 5, y, -4, 1 in increasing order.\nAnswer: -4, 1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-916*o**3 - 49*o**3 - 20*o**3)*(-6*o + o + 3*o) to v*o**2 + m + t*o + a*o**3 + d*o**4 and give d.\nAnswer: 1970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 - v**2. Let f be (5\/(-10))\/((-1)\/10). Suppose 0 = -f*p + 201 + 24. Let g = -40 + p. Let s(u) = -6*u**3 - u**2. Give g*k(m) - 4*s(m).\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -30052072 (base 8) in base 16?\nAnswer: -60543a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 4*v - 3. Let u be (-30)\/(-2)*(-7)\/(-21). Suppose -u*d - 26 - 19 = 0. Let w(x) = -2*x**2 - 9*x - 7. Determine d*k(r) + 4*w(r).\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 141212085 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: Simplify (x\/x**(-4\/9)*x\/(x*x**(-11))*x**(-7)\/x*x**(-1\/7)*x)**25 assuming x is positive.\nAnswer: x**(8350\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhhdhddddddjddsjjdj. What is prob of sequence sh?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001715478 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -9. Calculate the greatest common factor of j and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 4*c)*(-50 - 35*c**2 + 50).\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 14*s + 104. What are the prime factors of v(13)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - -1123202112?\nAnswer: 1123203000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 167*i**6\/10 + 5*i**4 + i**2 - 301*i. What is the third derivative of n(t) wrt t?\nAnswer: 12024*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 4. Let a be l(4). Let b(f) = f**2 - 9*f + 11. Let u be b(a). Suppose -n - 3 - 132 = -5*g, 3*g - 81 = -u*n. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4536 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20713 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 31. Let s(n) = 3*n + 32. Determine -3*i(c) - 2*s(c).\nAnswer: 3*c + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585086 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104216*o + 104308*o + 828 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2032\/(-635))\/((-8)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 0*i**2 + i**2 + 11*i - 11*i in the form w + k*i**2 + b*i + l*i**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -42. Let k = f - 9. Which is the smallest value? (a) k (b) -2 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*n - 16, 4*y - 3*y = 4*n + 10. Suppose -53 = -5*m + y. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465382\/511 - 566281189\/194180. Let w = 3827 + y. Let o = -18439\/3420 + w. Find the common denominator of o and 77\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -7*a**3\/6 - 3*a**2\/2 + 2*a. Calculate the remainder when 53 is divided by g(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -38*v + 708. Let i(r) = -5*r + 101. What is 3*c(q) - 22*i(q)?\nAnswer: -4*q - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*t + 102 = 0, -67 = -4*x + 3*t + 17. What is the least common multiple of x and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 0 + 0*t**4 - 1\/60*t**5 + 71*t**2 + 0*t + 0*t**3. Let z(j) = -28*j**2. What is q(z(n))?\nAnswer: -784*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/(-16) + (-10)\/2)*35\/((-12075)\/30)\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454114383 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by 583.\nAnswer: 43\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3 = -u, 4*u = -3*x - u + 15. Let b(m) = -m + 9 - 1 - 3 + 10. Is b(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1153940 divided by -4\nAnswer: 288485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506*p + 508*p + 487*p + 510*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*t**2 + 81*t**2 - 9*t - 4*t**4 - 51*t**2 + 3 + ((4 + 0 - 3)*(-3 + 1 - 2) - 1 - 2 + 9)*(3*t**4 - 2*t**4 - 2*t**4).\nAnswer: -6*t**4 + 2*t**2 - 9*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuuk when four letters picked without replacement from ukkmuquuumuumkq.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -467 + 245. Let c = -212.1 - d. What is c rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + 158042*t**4 - 158113*t**4 + 0*t + 3 to c*t + u*t**4 + f + l*t**2 + j*t**3 and give u.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 0.3, 4.361737?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 605*b - 490*b + 1610 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 <= -36\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**3 + 750*h**2 + 7*h + 50731 wrt h?\nAnswer: 9*h**2 + 1500*h + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5537 plus 11618473?\nAnswer: 11618470.4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:32 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or -22\/7?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2303 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-26)*g*g*g**15*g)**(-2\/11))**48)**(-22\/9) assuming g is positive.\nAnswer: g**(-512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 13*a**2 + a**2 - 42*a + 46*a to u*a**2 + q + h*a and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3476 (base 14) to base 7\nAnswer: 35406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Let m be 13 + -7 - (v - -2). Let b(z) = z**2 - 5*z - 10. Let y be b(7). Put -4, m, y in descending order.\nAnswer: y, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/156 and 71\/21.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.87 and -71.\nAnswer: -71.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 72185\nAnswer: -12\/72185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 9:37 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -90 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q. Let g(h) = 22*h. Calculate g(k(c)).\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1008) + -3)**2 + -4.\nAnswer: -360*sqrt(7) + 5081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 238\/(-4). Suppose 235 = n + x. Suppose 0*s = -9*s + 144. What is the greatest common factor of s and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 42. Let k be m + (13 - 15 - (-3)\/(-4)). Put k, 1, 2\/81 in decreasing order.\nAnswer: 1, k, 2\/81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from qynnnnyqyyynq.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*s - 308 = 64. Let y(n) be the first derivative of -9 + 4\/9*n**s - 5\/3*n**2 - 8\/15*n**5 + 1\/9*n**6 + 4\/3*n + 2\/3*n**4. Factor y(o).\nAnswer: 2*(o - 2)*(o - 1)**3*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 71 (c) -3\/16 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -18. Let x be 12*-1*(-5)\/z. What is the third derivative of 0*p**4 + p**x - 2*p**2 - 3*p**4 wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 < 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 206623491 and -0.5.\nAnswer: -103311745.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6520\/52160*(-232)\/1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1697 (base 11) to base 5.\nAnswer: 32123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(4\/(-12)). What is the second derivative of 2*g**2 + 8*g**2 + n*g + 0*g wrt g?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and -585.\nAnswer: -585.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37481 is divided by 559.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 6. Let c be h(-6). Suppose -3*a + 126 = -c*a. Let n be (-6)\/9 + a\/9. Put 3\/2, -2\/17, n in increasing order.\nAnswer: -2\/17, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 - 3. Let g be 14\/12 + 9\/6*-1. Which is the nearest to f? (a) 0.1 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43032264 take away -0.056?\nAnswer: 43032264.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from xypckkyg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4)\/p)\/p*p*p**1*p*p*(p*(p\/(p*(p\/p**2)\/p))\/p*p)**(-33) assuming p is positive.\nAnswer: p**(-387\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 - 3*v**3 + 5*v**3 + (-2*v + 0 + 0)*(-4 + 4 + 5*v**2) in the form t*v + q + y*v**2 + g*v**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 100.3. Let g = 1.99 + 0.01. Which is the third biggest value? (a) g (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -916200*x**3 - 24676148 wrt x?\nAnswer: -2748600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 59*m - 128. Determine k(30).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2586057?\nAnswer: 3, 17, 50707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + 153?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5483.25 + -5483. Put 5\/6, 2\/19, -9\/7, i, -0.2 in decreasing order.\nAnswer: 5\/6, i, 2\/19, -0.2, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 52.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/1540 and 13\/560.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:38 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 7*z**2 + z + 9. Determine u(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3149 + -16.3679. What is g rounded to one decimal place?\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**8\/448 - 3*l**7\/280 - 3*l**6\/160 - l**5\/80 + l**2. Factor v(f).\nAnswer: -3*f**2*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jygfgtw. What is prob of sequence gf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 8:59 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 + -381. Which is bigger: -105\/17 or i?\nAnswer: -105\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 7*k. Let p be g(-8). Let n = p - 10. Is n at most -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 5*q. Suppose q*y + 2 = 82. Calculate the remainder when 58 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 14968*l\/3 + 39872.\nAnswer: 2*(l + 8)*(l + 7476)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/15 + (-5)\/(-3). Let n(p) = -2*p + 5. Let m be n(-8). Let i = m - o. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a - 1836. Give n(119).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 2. Let x = -30 + 25. Calculate w(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 24 - 19*n - 4*n. Let u(h) be the second derivative of -h**3\/6 + h**2\/2 + 4*h. What is l(c) - 24*u(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.049 - -0.049. Let h = v + 48.0073. Round h to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155358.3 centuries to years.\nAnswer: 15535830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2227 - 14*32\/56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - k. Suppose -967*i = -977*i + 60. Let p(a) = -3*a**2 - 2*a. Determine i*p(v) - 11*z(v).\nAnswer: 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:34 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.056087?\nAnswer: 0.0224348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-3) + 4)*3. Solve 6*o - k*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3738*f**3 + 2*f**2 - 31*f + 9. Let u(z) = -2*z**3 - 11*z. Let h(t) = 2*u(t) - v(t). Find the third derivative of h(g) wrt g.\nAnswer: -22452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948627?\nAnswer: 3, 1316209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39094602 and 2212902?\nAnswer: 117283806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.379 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4057102*y**2 + 236*y + 26015 wrt y?\nAnswer: 8114204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*i**2*p**2 + 1068*i**2 + 4*i*p**2 + 57*p**2 - p - 426 with respect to i.\nAnswer: -6*i*p**2 + 2136*i + 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361979 is divided by 180972?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m - 12*m + 18*m + 22*m. Let z(o) = o + 10. Let d(a) = -a - 4. Let j(t) = 5*d(t) + 2*z(t). Calculate j(n(c)).\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - -16. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -640*c**2 - 1254*c - 522.\nAnswer: -2*(5*c + 3)*(64*c + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*x - 57*x - 2959. Suppose u + 126 = 4*z + 396, -u + 3*z = -x. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282.32 - -285. Let h = -2.78 + f. Which is the closest to 3\/7? (a) h (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-94 - (-61 - -16)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -1, 3, 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262 (base 8) to base 14.\nAnswer: ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76 times -15?\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247489?\nAnswer: 11, 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, 2\/3, 28, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(315\/(-10)))\/((-5)\/((-675)\/63))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 45 = 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b (base 12) to base 3.\nAnswer: -12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10560050 (base 7) in base 5?\nAnswer: 214001034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(51)\/sqrt(3)*-4 + 3 - (sqrt(204)\/(sqrt(24)\/sqrt(2)) + (sqrt(17) - sqrt(272))**2*-3 - ((-5*sqrt(17)*-1)**2 + -2)).\nAnswer: -5*sqrt(17) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-20372)\/(-6792) + -3). Let g = j + 40883\/6. Calculate the common denominator of g and -97\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + -101. Let w be -7*(-1)\/((-21)\/108). Let p = w - t. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 2, f: 8, h: 2}. What is prob of picking 2 h and 2 g?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 9*g + 4*g + 772*g**3 - 27*g - 6999*g**3 + 12*g.\nAnswer: -6227*g**3 - g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 8*w - 3*w**2 + 19*w)*(-2*w**2 + w**2 - 2*w**2).\nAnswer: -6*w**4 - 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 84*n**2 - 10854*n + 1988. What is j(129)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2) + -8 + 3. Let y be 9\/((-18)\/(-12488)) + k. Suppose -3*b + 4*b = -r + 1561, y = 4*r + 2*b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511*w + 512*w - 211 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319152 divided by -366?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.102967535 to 5 decimal places.\nAnswer: -0.10297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t + 22 + t - 9 - 49 to m*t + p and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -2. Let m be (-2)\/(j*-2)*2. Suppose m + 0 = n. Solve 3*c = 8 - n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191252 = 20*c - 438218 - 482894. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831803339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10813 - 5727. Let q(f) = 57*f**2 - 5*f + 2. Let d be q(6). Let s = c - d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(4*(-4*sqrt(10) + sqrt(10))) + -2.\nAnswer: -2 - sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*a - 13 = 10, 17 = b - 3*a. Calculate the smallest common multiple of b and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 8*z + 8. Suppose 9*s - 50 = 5*f + 7*s, -5*s = 0. Give p(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 284, 478, 670, 860, 1048?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17944.7322051 - -18045.73219. Let d = 101 - m. Round d to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46248 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1171376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**5 - 4652*g**4 + 23348*g**3 - 14052*g**2 - 42048*g = 0.\nAnswer: -1168, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Let r(k) = 4*k - 23. Let i be r(8). Let d(f) = -11*f - 1. Determine i*a(m) + 4*d(m).\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.06221l?\nAnswer: 55062.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 11. Let w be v(9). Let m(y) = -y**3 - 4*y**2 - 2*y - 6. Let b be m(-4). Let i = w + b. Solve -2*g = -4*q - 22, -g = -4*q - i*q - 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -39, -5, -38181, -2.\nAnswer: -38181, -39, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/3 + 65*r**4\/3 + 1150*r**3\/3 + 3070*r**2\/3 + 2945*r\/3 + 961\/3 = 0.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g. Let a(j) = 4*j - 26. Let i be a(7). Let l(t) be the first derivative of 3\/2*t**i + 0*t - 12. What is n(l(o))?\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 20 + 60. Suppose -2*h = y - 674, -g*y + 0*h = -3*h - 3435. Round y to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*t + 79*t = 5*h + 20, -5*h + 15 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.02, 0, 16 in decreasing order.\nAnswer: 16, 0.02, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j + 4*j. Suppose -10 = 5*y, -2*y = -3*b + 3*y + 22. Let d = b - j. Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose -4*r + 2*r + 10 = l, 4*l = -y*r + 36. Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 + o**2 - 3*o + 3. Let v(g) = 14*g**3 - 3*g**2 + 8*g - 8. Let t(f) = f**3 - 13*f**2 - 11*f - 34. Let r be t(14). What is r*l(c) + 3*v(c)?\nAnswer: 2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 2*h**2 + 5. Let x(y) be the first derivative of y - 69. Give -2*a(s) + 10*x(s).\nAnswer: 2*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -2\/3 (b) -14 (c) 14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 113. Let b(o) = -6*o - 111. Determine -3*b(s) + 4*f(s).\nAnswer: -2*s - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/30*(-3870)\/516.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 116. Let c = 79 - o. Suppose -5*n - 10 + 0 = 0, -5*k + 60 = -5*n. Calculate the greatest common factor of c and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/8 - 11*v**3\/3 + 8*v**2 - 5. Let z be o(-4). Let q(d) = -d - 6. What is q(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1286, 2194, 2922, 3464, 3814?\n\"Answer: -m**3 - 84*m**2 + 1167*m + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 8*y - 203 = -15*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntt when three letters picked without replacement from {t: 2, d: 5, n: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-304.9.\nAnswer: -60.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbqttdptqtdqtq. What is prob of sequence tq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*v + 16 = -6, v = 5*x + 20. Let w = 4\/39 - -2\/65. Which is the fourth smallest value? (a) -0.3 (b) -1\/2 (c) x (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Suppose j*p = -0*p + 72. Suppose p = 4*u + 2. Solve -4*v = 4*y - 4, 2*v = -0*v + u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -13*z**4\/24 + z**2 + 14. Let j(a) = 3*a. What is j(g(r))?\nAnswer: -39*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 24*g = 0. Let i be 1*(-11 + g)*1. What is the remainder when 51 is divided by (-6)\/(-2)*(-2 - i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:07 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -11 + (10 - ((-13 - 0) + -20)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*r**4\/9 + 4*r**3\/3 - 16*r**2\/9 - 4*r\/3 + 8\/9 = 0. What is r?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x. Let y(j) = -12*j**2 - 3968*j + 6. Give g(y(a)).\nAnswer: 36*a**2 + 11904*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 16*d**2 - 7*d - 329. Give w(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:31 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -775, -617, 1397, 6197, 14713, 27875?\n\"Answer: 155*g**3 - 2*g**2 - 921*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Suppose 4*m = 6*m - 6. Let j = -3404.2 - -3404. What is the closest to 5 in m, j, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*l**4 - 2*g**3*l**2 + 2735*g**2*l**2 - 506*g*l**4 wrt l?\nAnswer: 96*g**3*l - 12144*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**3 - 4*s**2 + 55*s + 190. Give o(-3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 13 = -2*x, 2*x - 4*z + 4 = -10. Let f be 3 + (-129)\/3*x. Suppose 0 = -y - y + f. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030943 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000127752 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 331890563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 21*r**3 - 13*r**2 + 8*r + 2. Let v(f) = 49*f**3 - 26*f**2 + 17*f + 5. Let o(h) = -5*n(h) + 2*v(h). Factor o(w).\nAnswer: -w*(w - 1)*(7*w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 27*n + 367. Give m(12).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 22*s + 19. Calculate h(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffxf when four letters picked without replacement from ffxxfffxfxxfx?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 2 + 98. Let g be (6\/(-4))\/(6\/f). Solve -g*o = 24 - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 831418 divided by -4\nAnswer: -415709\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/985 in 3\/2, -3, -4, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256 - 176. Suppose -3*f - 2*c - 25 = 42, -4*f = -2*c + k. Is f <= -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*h + 894, 2*x - 2*h + 890 = 4*x. Calculate the common denominator of (x\/30)\/((-6)\/5) and 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 17 + 19. Suppose -2*z + a = -4. Suppose -2*f = f + 3*d - 3, z*f - 11 = 5*d. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 13 + 18 + -2 + -1 + -5.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*t - 670, 11*w = 10*w + 5*t + 202. Calculate the least common multiple of 16 and w.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 989, 1966, 3335?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 107*a - 276. Let g be p(56). Calculate the highest common factor of 462 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 7*i**2 - 5*i - 2. Let k be s(6). Let a = -21 + 3. Let c be (-10)\/(-45) + k\/a. Solve -7 = c*j + 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -15, 21, 93, 213?\n\"Answer: 2*s**3 - 2*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4553116 (base 7) in base 13?\nAnswer: -16b544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((671\/(-231))\/(-61))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -296, -439, -582, -725, -868?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:21 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/140 and 69\/2072?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from ppgascscgggglcgggal.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + 100 + -45 - 45.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -25*q + 2. Let i be ((15 - 6) + -13)\/2. What is j(i)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (7 - (2 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from intiiininntni. Give prob of picking 2 t and 2 i.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8631932, -1, 5 in descending order.\nAnswer: 8631932, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6888 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - -8. What is the highest common factor of b and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23493.6 less than -94.41?\nAnswer: 23399.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 45. Let c = -8 - a. What is the highest common factor of c and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, and 2 u when four letters picked without replacement from uvvsususussu?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 693, 1421, 2429, 3711?\nAnswer: 5261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n - 12. Give m(-13).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 159. Let u = h + -22. Suppose -a = -0*r + 2*r - 17, -3*r + 4*a + u = 0. Calculate the highest common factor of 45 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t**2. Let o(z) = -29*z**2 - 5*z. Determine o(v(s)).\nAnswer: -6525*s**4 - 75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = -4*m, 2*q + 5*m - 10*m = 20. Let s = -3 - -6. Solve s*c + c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - 7 - -3) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30f - -16ae?\nAnswer: 19bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/7 (b) -5586 (c) 0.29 (d) 8\/15 (e) -3 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sht when three letters picked without replacement from mushmthhss.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 145 - 226. Calculate the common denominator of (l\/(-30))\/((-6)\/(-9)) and -11\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10788*x - 35 = 10795*x, -3*x = 2*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41343563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x - 1. Let z be u(-1). Let j be 9\/(-10 + 1) - -2. Let q(o) = -2*o - 8. Let l(i) = i. Let y(d) = j*q(d) + z*l(d). What is y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340818?\nAnswer: 2, 3, 43, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9810.539ug?\nAnswer: 0.000009810539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*8\/15. Let v = -4.94 - -2.04. Let h = v - 3.1. Which is the fourth biggest value? (a) h (b) o (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*k**2 - 13*k + 13*k)*(-5*k**2 - 6 + 6) as b + i*k**3 + q*k + t*k**2 + u*k**4 and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6591 = 11*k + 79. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 236964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.316 - 82.316. Which is the fourth smallest value? (a) -0.3 (b) 3 (c) -1\/5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2\/9 + 316*w\/9 + 12482\/9 = 0.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/1759 + -1579\/52770. Calculate the common denominator of 67\/345 and y.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - 5*w - 1, 4*i - w = -22. Let y = 6 + i. Let v = 4832\/15 - 322. Which is the third biggest value? (a) v (b) -5 (c) 6 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + 1. Let o be k(-2). Let h = o - -25. Solve p + 2*u = -15, -4*p - 22 = h*u + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-41)\/(-2))\/((-4)\/8). Let f = 43 + b. Solve 24 = 5*l + m, -f*m + 1 - 3 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:01 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 31*z + 86. Let u be x(-28). Suppose -5*l - 3 = -5*o + u*o, -3*o + 3 = -2*l. Which is smaller: 54 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 153797, 153796, 153795, 153794, 153793, 153792?\n\"Answer: -u + 153798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -9*x**2\/2 - 2*x - 1. Let o(l) = -3 + 4 - 2 - 4*l. Calculate 2*m(p) - 5*o(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*k - 16516, 3*k = 73*u - 72*u + 12377. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.738460763 rounded to two dps?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5\/2 - 1185*q**4 - 283205*q**3\/2 - 279660*q**2 - 139240*q.\nAnswer: -5*q*(q + 1)**2*(q + 236)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/((g\/(g*g**2))\/g)*g))\/g)**(-21)*(g*(g*g\/g**(-19\/5)*g*g*g)\/g)**(-3\/23) assuming g is positive.\nAnswer: g**(11943\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 4*u - 32. Let i be m(-8). Let a = 40 + -21. Suppose -11 = -5*x + a. Solve i = 2*z - x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -19. Let m = 41 + v. Suppose -m*y + 15*y + 36 = 0. Calculate the remainder when 56 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*c - 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.1. Let w = y + 2. Let i = w + -2.3. What is the biggest value in 3, i, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/8 + a**3\/3 + a**2. Let x(n) = n**3 + 17*n**2 + 18*n + 36. Let i be x(-16). Determine m(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 644 = 55*h. Let t(g) be the first derivative of 1\/2*g**4 + 0*g**2 + h + 4*g**3 + 0*g. Find the third derivative of t(i) wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 6*n)*((3 + 4 - 5)*(2*n + 5 - 5) + 0*n - 2*n - 5*n - 2*n + 0*n + n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/7, 3\/8, 20, 4.6, -9\/5, 52?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00364104449 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 121 + 279 = 0. What is y rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110833, 221666, 332495, 443320, 554141, 664958?\nAnswer: 775771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2781+-0.81457\nAnswer: -2781.81457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35360\/(-3400) + (-3)\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i*q**3*w + 12*i*q**3 + i*q**2 - i*q*w**2 + i*w**2 + 2*q**3*w**2 + q**2*w wrt w.\nAnswer: -2*i*q + 2*i + 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(12) + sqrt(24)\/sqrt(2))\/sqrt(4) + (sqrt(3) + 1)*1 - (sqrt(75) + 0)*1)**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((((t**(-1\/6)\/t*t)\/t)\/t*t)\/t))**(-25))**(-2\/83))**(1\/2) assuming t is positive.\nAnswer: t**(475\/498)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -504.6, 0.\nAnswer: -504.6, 0, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (10 - 5) + -18 + 12.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 510000 = 0. What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 m when two letters picked without replacement from {m: 1, i: 1, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-75))\/(2\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -5621, -14652, -27305, -43586, -63501, -87056?\nAnswer: -114257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 + 100*s - 524. What is h(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 237, 647, 1369, 2487, 4085, 6247, 9057?\nAnswer: 12599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*l**2 + 219*h**3*l - h**2*l**2 - 25*h**2 - l**2 wrt h?\nAnswer: -6*l**2 + 1314*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 96 - 91. Let a(v) be the second derivative of -3\/70*v**j + v + 0 - 1\/105*v**6 + 0*v**2 + 0*v**3 - 1\/21*v**4. Determine g so that a(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*j = 1 + 7, -5*n + 2*j + 4 = 0. Suppose n = 4*z - 2*z - 54. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/(7\/28). Let v = 177 - 176.7. Sort v, -5, s, -2\/3 in decreasing order.\nAnswer: s, v, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23233*j + 11165*j + 10574*j as i*j + b and give i.\nAnswer: -1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-8)*(-216)\/90. Suppose -i*b - 27 = -18*b. Solve -10 = f - b*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + -5) - (-6 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n**3 + 41*n - 29*n**3 - 31*n - 20*n**4 - 25*n**2 = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 433*y**2 + 23026*y - 8909. Give c(371).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, 4, 0.1, -0.025, 10, -13?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88.4 + 88.6. Let q = -0.05 + 0.1. Let x = q - -0.45. Which is the closest to 0? (a) d (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5014 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3 - 3*s**2 + 2*s**2 - 17 as l*s + u*s**2 + a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/14)\/((-246)\/(-42) - 6). Let m(n) be the second derivative of 1\/42*n**w + 0 - 1\/7*n**3 + n + 0*n**2. Factor m(p).\nAnswer: 2*p*(p - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1885 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 21. Let d(r) = r**3 - 7*r**2 + 11*r - 5. Let x be d(5). Let c(j) = x*j**2 - j**2 + 6*j**2 - 3*j**2. Calculate c(h(f)).\nAnswer: 18*f**2 + 252*f + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) -5 (c) -4 (d) 641\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2844 = 3*l, -5*m - 29*l + 26*l + 7119 = 0. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 + 120012222101?\nAnswer: 120020000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7 + 6)*(-2 + 0 + 5)*(c**2 - c + c).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 + -0.18. Let w = k - -0.01. Let z = 2\/127 - -244\/635. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eweeeewwweweeeww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from {r: 1, i: 2, o: 1, p: 2, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/50148 and 49\/198.\nAnswer: 551628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376.055583 rounded to the nearest integer?\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-5)\/10*-2. Is l*(-3 - 128) + -3 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011967 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 35. Suppose -2*h - u*z + 7*z + 2970 = 0, -2*h = 2*z - 2946. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 5, -0.2, 0.29041?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 2*g**2 - 2*g. Let p be f(2). Let l(m) = 15*m - 265. Let z be l(21). What is the greatest common divisor of p and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -14*w**2 - 220*w - 160. Let i be o(-8). Solve i*r - 12 = -28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(50) + 5))**2 + -3 - (-1 + sqrt(72) + -3 - (-1*sqrt(18) + sqrt(24)\/(sqrt(36)\/sqrt(3))))**2.\nAnswer: 2553 + 1864*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d*d**(1\/2)*d*d))**24*d**(-5\/7)\/((d\/(d\/d**1))\/d))\/((d**(-1))**(-36)*(d*d**(3\/4))\/(d**(-1)\/d)) assuming d is positive.\nAnswer: d**(-2813\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 7*l**2 - 2*l + 7. Suppose -4*w = 7*w - 22. Suppose -4*p + 5*p + 3 = w*u, 53 = 4*p + 5*u. Determine z(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 + x**3 - 5 - 4*x**4 + 7851*x**2 - 7928*x**2 to i*x**4 + c*x + d + j*x**3 + q*x**2 and give q.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 8*k**6\/15 - 41*k**3\/6 - k**2 - 15*k. What is the second derivative of y(d) wrt d?\nAnswer: 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 536750 is divided by 3649?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.083 (c) -3 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:03 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2*s + 1. Let p(x) = -3*x - 34. What is -2*o(d) - p(d)?\nAnswer: 2*d**2 - d + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/3 - 12. Let p = -2\/103 + 109\/309. Solve -p - z*a - 1\/3*a**2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1874, 5, 0 in increasing order.\nAnswer: 0, 5, 1874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50885, 50888, 50893, 50900?\n\"Answer: c**2 + 50884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p**3 + 13*p**2 - 13*p - 17. Let v(y) = -3*y**2 - 6*y + 10*y + y**3 + 4 - y. Give -6*i(s) - 26*v(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**5\/20 - m**4\/12 + 37*m**2\/2 + 30*m + 20. Let n(h) be the first derivative of q(h). Differentiate n(o) wrt o.\nAnswer: 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -13. Let i(x) = 3*x + x**2 + 4 - 3*x**2 + z*x**2. What is the units digit of i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3541.99991432 + 3542. What is n rounded to six dps?\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 1506855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1084 - 1087. Which is the closest to -0.1? (a) 40 (b) 2\/3 (c) m (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/29))**48\/(w\/(w*w*((w*(w*(((((w\/w**18)\/w)\/w)\/w)\/w)\/w)\/w)\/w)\/w))**(-1\/22) assuming w is positive.\nAnswer: w**(1325\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**2 - 5*p + 1. Suppose 2*f + 3*n + 5 = 0, -3*f + 7*n - 2*n = 17. Let x be h(f). Find the common denominator of -95\/16 and (-7 + 3 - x)\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12150c (base 14) to base 5.\nAnswer: -124242032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1\/6*g**6 + 1\/5*g**5 - 1\/4*g**4 - 1\/3*g**3 + 0*g**2 - 3 + 0*g. Suppose y(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8846*r - 9105*r + 6993 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-15) - 1\/(-5). Put l, -1, 4, 1 in decreasing order.\nAnswer: 4, 1, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 314 = -5*g - 4*l, 2*l = -2*g + 120. Suppose 17 = -5*a + g. Suppose f - 5*f + 16 = 0. Solve 3*x + a = -2*q + 5*q, f*q - 3 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-22))\/(2\/(-11))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47924 + -31011. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 4*k)*(-14 + 19 + 15) + (7*k + 0*k + 2*k)*(-1 - 7 + 3).\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8493 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/5)\/((-2)\/10). Suppose -5*r = 4 - 29. Suppose -33 = -r*l - t. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 95276.6401 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**22)**(-2\/49) assuming z is positive.\nAnswer: z**(-46\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/60 - 2*x**3\/15 - 2*x**2\/5 + x - 3. Let b(a) be the first derivative of n(a). Factor b(h).\nAnswer: -(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -602 - -122?\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 7 - 3*j + 4*j - 53 - 37 as a + k*j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2703 = -603. Suppose 14*g - 7*g + d = 0. What is the lowest common multiple of 14 and (-1)\/(3\/g*2)?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 416300.1 centuries?\nAnswer: 41630010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 3*r - 4. Let k be f(-1). Suppose 3*m + z - 3 = 0, 0 = 4*m + 2*z - k - 0. Solve -2*u = m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3664 + 3632. What is the closest to 0.1 in s, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -53*y**5\/5 - 177*y - 331. What is the first derivative of t(g) wrt g?\nAnswer: -212*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63793021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*v + 8, 17 = 5*j - 2*v. Suppose 9 = -2*o + j*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**2\/2 - 62*b + 685. What is c(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -922.7 + 922. Which is the nearest to v? (a) -0.3 (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**8*a*a*a**6*(a*a**(2\/7))**(-19) assuming a is positive.\nAnswer: a**(-157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289218455.\nAnswer: 3, 5, 7, 4092757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 4 (c) -3 (d) -2 (e) -4767\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + 5.08. Let b = -23 + 23. Let j be 2*(9\/(-30) + b). Sort o, 2, j in descending order.\nAnswer: o, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 131*y**3\/6 + 2*y**2 - 6*y - 2. Let n(a) be the first derivative of g(a). Is n(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -481 - -483. Solve -f*s - u = 2 + 4, 17 = -s + 3*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 205409, 2.6, -5?\nAnswer: 205409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**3*v)\/v)\/v)**(-29))**(-2\/7)*v**8\/(v**7\/v)*v**(-2\/7)*v\/(v**(-8\/3)\/v) assuming v is positive.\nAnswer: v**(-388\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-2*h**4 + 3*h**4 - 2*h**4)*(-84 + 185 - 74).\nAnswer: -27*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41361296*f**4 + 8080661*f**2 - 5?\nAnswer: 992671104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/126 + (-220)\/(-105). Let a be 1*(0\/((-9)\/3))\/j. Solve a*r = 2*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 6 + 4)*(-1 + 4 - 5) - 1 - 2 + 0)*(13 - 3 + 2)*(-9 + 9 + z + (1 + 1 - 1)*(4 - 4 - 2*z) + 1 - z - 1)*(-3*z + 2*z + 0*z).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 19108*x - 19112*x = -18, -2*h + 3*x + 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 47\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012.51 rounded to the nearest integer?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.1. Let j = -1 + -28. Let r = j + 29. Which is the nearest to o? (a) 0.1 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/10)\/(-14 - (-18090)\/1275) and -47\/6492?\nAnswer: 25968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1025579 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 6. Let u be ((-48)\/(-10))\/l + 2. Which is the smallest value? (a) 0 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011011100111 (base 2) to base 14.\nAnswer: 8171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16267885 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-550)*160\/(-107120)*-103?\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2 - sqrt(143))*-3 - -1*sqrt(143)*-3)\/(sqrt(132)\/(sqrt(12) + sqrt(60)\/(sqrt(20) + sqrt(5)))*2).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + -8) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 a when four letters picked without replacement from awacwlowowaaawwaww?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 k when four letters picked without replacement from {c: 1, k: 2, e: 10, x: 3, p: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -28 + 26 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:25 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -9*d + 34. Let q(p) = -2*p - 2. Calculate 5*q(u) - r(u).\nAnswer: -u - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-504)\/49 - (-2)\/7. Let v be 15\/(-6)*32\/z. Let y = v + -10. Which is greater: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r + 7. Let o(w) = -4*w - 4. What is 3*d(n) + 5*o(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.52 (b) -0.264 (c) 0.5 (d) 1\/3 (e) 3 (f) 0.07 (g) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 8. Suppose 3*p - 1 = o. Is p less than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2350053 and 23940?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 6 + 150*j**2 - 172*j**2 + 5.\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 5. Let b be c(0). Let k = 25 - b. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*k - 9, 4*g - 36 + 33 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*s + s + 13*s - 32*s.\nAnswer: 58*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o - 100. Let u be 1\/(-4) + 17\/o. Let z = 0.002 - 1.002. Which is the nearest to z? (a) 1 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105569585169471 less than 0.3?\nAnswer: 105569585169471.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1*6 + 4*(-2*sqrt(91) - sqrt(91)))\/(-5*(sqrt(7) + sqrt(42)\/sqrt(6) + sqrt(7)) - sqrt(42)\/(sqrt(48)\/sqrt(8))))**2.\nAnswer: 1053\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2 - -5) - -2. Suppose 4*a - 50 = 2*r, 2*r - r = y*a - 49. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.309 - 1.309. Put -2\/19, -4, t, -1\/4 in decreasing order.\nAnswer: t, -2\/19, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2598501*a**3 - a**2 + 516553*a wrt a?\nAnswer: 15591006*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89912 + -60741. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.8, 189, -3\/10, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 858 - 1833 = 0. Let a = w - -452. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3500 + -2?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -218750?\nAnswer: 1\/43750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(3\/(-351))\/(3\/(-18))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 8. Let t = 16.86 + -20.86. What is the second smallest value in g, -1\/2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7033*b**2 + 19 - 4 - 7040*b**2 - 15.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 39867 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 2, l: 3, s: 1, r: 2, k: 3}. What is prob of picking 1 s and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 52*d**2 + 145*d + 7. Let w be y(3). Solve 0 = 1181*t - 1182*t - w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 13*d - 29)*(23*d - 12*d + 11*d + (0 + 0 + 2*d)*(2 - 4 + 0)) to the form p*d + w*d**2 + t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.52 times 6?\nAnswer: -9.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/14, -6\/17, 3271 in increasing order.\nAnswer: -15\/14, -6\/17, 3271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(0 - 3\/3) - (-2490)\/2158.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -367, 1, -10, -5 in decreasing order.\nAnswer: 1, -5, -10, -367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*d - 131*d + 3920. What is the remainder when 1399 is divided by d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 7*z**2 - 7. Let j be n(-7). Let h = -13 + 1. Let c = j - h. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28*5\/(-20))\/((-2)\/(-302)). Is 6\/(-4)*(-52)\/(-39) + w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -3, 12\/4961, -38, 0.06 in descending order.\nAnswer: 0.06, 12\/4961, -6\/7, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3520 + -10558\/3. Which is the smallest value? (a) 0.4 (b) 3 (c) -4 (d) o (e) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.126 - -0.126. Let x(u) = u**3 - 6*u**2 + 7*u - 7. Let o be x(5). Let g = 5 + -8. What is the biggest value in o, g, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -43. Let l = c + 29. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -1\/3*d**3 + 2 + 0*d - 5\/2*d**2. Let t be q(-4). Solve -t = 2*u + 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s - 2 = 0. Let z be 1 + 4*(-1)\/s. What is the units digit of (-4)\/2 + 3*z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4) - -1)\/(1\/10). Suppose -4*z = i*v - 101 - 59, z + 41 = v. Suppose 0 = -p + v - 11. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/(-12) - 3\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 47. Let p be n(-25). Let d(s) be the second derivative of -1\/12*s**4 + 0 + 1\/2*s**3 - 3\/2*s**2 + s. Determine d(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 6*x + 22. Give h(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w + 78. Let l(h) = -5*h + 78. Let c(o) = -4*a(o) + 5*l(o). What are the prime factors of c(-14)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*f - 11 - 1, -12 = 5*v - 3*f. Let s be v + 3 + 0\/1. Let l(n) = n**3 + n**2 - n + 1. Determine l(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 37 (b) 2\/7 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:11 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 18 - 22 = 3*n + 6, 4*k = -5*n - 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7757 - 7755. Let m(s) be the second derivative of 0 - 11*s**n + 31\/30*s**6 - 28*s + 0*s**4 + 0*s**3 + 0*s**5. Differentiate m(w) with respect to w.\nAnswer: 124*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1159\/278 + -1\/417. Suppose c*g - 1 + 27\/2*g**2 - 52*g**3 - 56\/3*g**4 = 0. Calculate g.\nAnswer: -3, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -53. Which is the nearest to -0.5? (a) 0.1 (b) s (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/2, -15, 0.3, 30?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 3*w - 3*w)*(0*w - 4*w + 5*w + (0 - 9 + 1)*(-3*w + 2*w - 2*w)).\nAnswer: 50*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1638*-26239\nAnswer: 42979482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8 = -2*d, 2*l + 4 + 4 = 2*d. Suppose 9 = -3*p, 3*p = -5*i - l*p + 1. Suppose 0 = 37*o - 6*o. Put i, o, -3 in ascending order.\nAnswer: -3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339612805 to the power of 1\/3, to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.2 (b) -4 (c) -0.034 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175886*m + y = -175896*m + 52, 9 + 3 = -3*m + 2*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -195627 divided by 1\nAnswer: -195627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 13540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 4*f = 32, 6*h - 227 = 2*f - 253 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -7*d**3\/6 + d**2 - 7*d. Calculate the remainder when r(-4) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -438.05 + 438.1. What is the closest to -15 in 2, 3\/2, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16070 - -15961 - (-22 + 0).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:02 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 508232 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4103883*f**2*h**2 + 2*f*h**2 - 4723*f*h - f - 38 wrt f.\nAnswer: 8207766*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -90, -321, -696, -1209, -1854, -2625, -3516?\n\"Answer: t**3 - 78*t**2 - 4*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2)*0\/1. Let z(j) = j**2 + 14. Let h be z(r). What is the highest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**(-1)*v**(-1\/9)*(v**4)**(-2\/53))**(-24) assuming v is positive.\nAnswer: v**(-14264\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21173510*p**3 - 349*p**2 + 768*p + 1 wrt p.\nAnswer: 127041060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 452*q - 52. Let g be j(-2). Let v = g - -1356. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 - 11*p**2 + 7*p + 10. Let o(k) = 21*k**3 - 57*k**2 + 37*k + 55. Let h(i) = 16*f(i) - 3*o(i). Suppose -2*b = -b - 4. What is h(b)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*g + 5*w - 401, g - 2*w - 124 = 0. Let m = -11 - -16. Suppose y = m*y - g. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 18, 26, 34, 42, 50?\n\"Answer: 8*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**5 + 2*i**5 - 2*i**5)*(-4 + 13 + 2).\nAnswer: 33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-4)*b*b)**(-24)\/(b**8\/b*b*b**(-4)) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -10*188\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.2, -6, 4, 0.1544.\nAnswer: -6, -0.2, 0.1544, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**4 + 2060*j**3 + 33730*j**2 + 61300*j + 29625 = 0.\nAnswer: -395, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 7. Suppose -4*u + 3*g = 7, 16 = 3*u + 3*g - 5. Let z = h - u. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3117 + 3151. Is -9 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*s + 6, -750*w - 2*s = -747*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(770\/72) - 6\/(-21)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24c7 + 37b?\nAnswer: -214a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 5*s - 8. Let c(v) = -v**2 - 1. Let l(f) = 4*c(f) - n(f). Let o be l(-5). Solve x + o*t = 10, 2*x + 2*x + 5*t - 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1268 equal to -379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22405421 (base 6) to base 12.\nAnswer: -290871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/j**(-2\/5)))\/j**(-3))\/(j**(-1))**(-1\/67) assuming j is positive.\nAnswer: j**(866\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2708330 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 + 8*h**2 + 10 + h**3 - 7*h - h**2. Let i be w(-8). Which is the nearest to -1? (a) 3\/5 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:43 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*p**4\/11 - 19808*p**3\/11 + 14754*p**2\/11 + 4618*p\/11 + 28 = 0 for p.\nAnswer: -1\/8, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by -34.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (62 - 86) - 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 7 - -5 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*4*((-477)\/(-81) + -6). Let z be (-2)\/(-16) - 6\/12. What is the third biggest value in -1\/3, z, -1\/6, m?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((8\/(-12))\/((-2)\/6)). Suppose -4*y - 5*s + 97 = u, 16*y = 12*y + 2*s + 62. Calculate the remainder when 175 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*u**2*y - 17558*u**2 + 94962694*y wrt u?\nAnswer: -116*u*y - 35116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38.78 + -19.78. Which is the nearest to m? (a) 17 (b) 2\/17 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r + 4. Let u(k) = -15*k + 8. Let z(b) = 13*s(b) - 6*u(b). Let d be z(-6). Is d at least as big as 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**3 + 38*h**2 - 50*h - 11. Let x(b) = -5*b**3 + 21*b**2 - 25*b - 6. Calculate 6*o(u) - 11*x(u).\nAnswer: u**3 - 3*u**2 - 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9048 * -2.\nAnswer: 5.8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29121636 is divided by 54?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(792) + (-1*sqrt(792) + sqrt(792) - sqrt(792)))*-1)\/((sqrt(165)\/sqrt(3)*-1)\/sqrt(5))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.185 rounded to 1 dp?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004719 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075921473 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + 0.6. Let y = -3 + x. What is the third smallest value in y, -3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 0 = 11*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t + 2017 = -2687. List the prime factors of (-96)\/t - 3798\/(-7).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 41*i**2 - 37*i**2 - 1 as x*i**2 + s + w*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17250179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - 4*t**3 - t**3)*(-2*t + 3*t - 3*t + 0 - 2*t + 0 + (1 + 1 - 4)*(5*t - 2*t - 2*t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2754 + 2853. Let b be -1*(2 + 16)\/(-6). Suppose -s = b*c - 6*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6975, 27901, 62777, 111603, 174379, 251105, 341781?\n\"Answer: 6975*t**2 + t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -842363 by 44.\nAnswer: -842363\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001416 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 30*v - 29. Calculate the remainder when 107 is divided by a(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/15*m + 0 + 2\/15*m**3 + 4\/15*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/144)\/(10\/24)*5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 8:39 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 40*y**2 - 180*y + 1081. What is v(-32)?\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 3*f**2 + 10*f + 9. Let p be m(-5). Suppose p*i - 64 = -28. Sort 1, i, 2.\nAnswer: 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/29)*g)**(1\/12) assuming g is positive.\nAnswer: g**(14\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978390403?\nAnswer: 97, 10086499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 992 by -16.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 - t**2 + 5. Let q(w) = 6*w**3 - 3*w**2 + 4. Let h(v) = 19*v**3 - 10*v**2 + 12. Let m(i) = -2*h(i) + 7*q(i). What is -3*b(l) + 4*m(l)?\nAnswer: l**3 - l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*d - 2*d - 44, -4*a - 2*d = 106. Let m be 4*21\/a*14. Let b = -23 - m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let g(p) = -2*p**2 + p - 2. Let z(y) = -13*y**2 + y - 6. Let m(w) = 6*g(w) - 2*z(w). Calculate q(m(t)).\nAnswer: 28*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = w - 20, 4*w - 2 = 2*f - 10. Let b(y) = 2*y**3 + 35*y**2 - 17*y + 22. Let u be b(-18). What is the highest common divisor of u and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -517*l + 519*l + 8 - 4 to d + g*l and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 y when three letters picked without replacement from ktktttkkytkttttb.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 86 = -39*l. Let h be (4\/l)\/(5 - (-143)\/(-33)). Sort h, 2, -6, 11 in ascending order.\nAnswer: -6, h, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 12*v**2 - 2*v - 12. Let o be u(-12). Let q be (-8)\/(-12) + 412\/o. Let g = q + -33. Put -5, g, 4 in decreasing order.\nAnswer: 4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11\/10 - -63\/55. Let g(o) be the first derivative of 10 + 0*o + 0*o**2 - 6\/55*o**5 + 0*o**3 - f*o**4. Factor g(d).\nAnswer: -2*d**3*(3*d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8792887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/18394 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 21. Let f = -2 - n. Let m = -8 + f. Which is smaller: m or 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*s + 2*t - 58, -537*s + 22 = -535*s + 2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*b + 31 - 47, 0 = -12*y - 5*b + 58 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9785 times 0.2?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/9583 and -31\/8.\nAnswer: 76664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3469712 times 0.5\nAnswer: 1734856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbq when three letters picked without replacement from llsbqqep?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 5*v**2 - 5*v - 2. Suppose 5*o + 3*p + 17 + 18 = 0, -4*p = 20. What is the smallest common multiple of m(o) and 11?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*k = 45, 4*o - k - 25 = -0*k. Let l = -4 + o. Put 3, l, -0.3 in increasing order.\nAnswer: -0.3, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3*h + 2. Let r be q(3). Suppose -7*m = -77 + 70. Let p be r\/(-2) - (-4200000 - m). Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11377704 is divided by 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 56, 52, 48?\n\"Answer: -4*g + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*c + 39 = -125*c - 45 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -b1 (base 14) to base 16\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 u when three letters picked without replacement from tmmktyukkkuqqtu.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -100, -71, -22, 53, 160, 305?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5820 and 5238.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*k + 14*k = 262 + 798. Solve 22*q + 72 = k*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 14*i + 84. Let t be f(-6). Sort -5, 4, t, -6 in increasing order.\nAnswer: -6, -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*t - t. What is the tens digit of (t\/10)\/((-16)\/920)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000540700338 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(1\/3)\/(2\/(-3)). Let l = 112 + t. Let m be 18*((-11)\/(-3) + -3). Calculate the greatest common factor of m and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-15))\/(3*8\/36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = 3*d. Let p = 41595\/22 - 1886. What is the common denominator of p and d*((-249)\/96)\/(-1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-9) - 7\/9)*(-41)\/((-1230)\/(-144)). Solve u*c**4 - 56*c**2 + 188\/3*c - 56\/3 + 28\/3*c**3 = 0 for c.\nAnswer: -7, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-15))\/((-6)\/81). Let k be ((-287)\/(-21))\/(2\/q). Suppose 3*c - k = -3*r, -r + 46 = c + r. Which is smaller: c or 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23989\/(-1341) + 10\/(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*k - 2 = 126, 242 = 2*g + 3*k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s**2 - 7*s. Let w(l) = 36*l**2 - 41*l + 11. Let x(f) = -7*f**2 + 8*f - 2. Let n(z) = -2*w(z) - 11*x(z). Determine -7*n(y) + 6*r(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4731879.4 minus -3977?\nAnswer: -4727902.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*f**3 - 90*f**4 + 2*f + f**3 + 6 - 10*f**3 - 3 in the form q*f**2 + c*f**3 + w*f + g + y*f**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - k + 14. Determine z(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2 - 93. Suppose 5 - c = -2*f. Let q(d) = -d**3 + 6*d**2 + 6*d + 8. Let w be q(f). What is the highest common factor of w and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in centuries?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -108\/7, -1, 3\/2, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -632, -1244, -1848, -2450, -3056, -3672?\n\"Answer: -j**3 + 10*j**2 - 635*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 2. Calculate z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/30000 and -149\/18000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7172073763 from 2.\nAnswer: -7172073761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 440830?\nAnswer: 14106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -45. Let c = -348 - -823. Suppose 5*x = m - 107, 5*m + x = 8 + c. Calculate the remainder when m is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60955287 is divided by 1518.\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 - 80. Solve -5*r + 3*x = 12, 3*x - v*x = -r + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -h - 12, -3*h - 4 = 5*f + 16. Let x = -3 + 0. Let t = x + 4. Which is the closest to h? (a) t (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 1282*f**5\/5 + 126*f - 1540. What is the first derivative of u(p) wrt p?\nAnswer: 5128*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111101 (base 3) to base 14.\nAnswer: 12a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:22 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/7 - 200440*d**3\/7 - 28099500*d**2 - 64063675000*d\/7 - 6947669218750\/7.\nAnswer: 2*(d - 101195)*(d + 325)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from usomu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1966 by -983.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1602*v = 86*v + 78*v + 81236 for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 12:48 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3))**(-2\/73)*r**(-4\/3)*r**(-1\/3)*r assuming r is positive.\nAnswer: r**(-148\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(15) + (sqrt(15) - -2*sqrt(60)\/sqrt(4)) - sqrt(15)))\/sqrt(3) + 3*(sqrt(5) + 1) + -3 + sqrt(10)\/sqrt(2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62502549 and 843.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**4*t - f**4 + 4304*f*t + 31*t + 70 wrt f.\nAnswer: 16*f**3*t - 4*f**3 + 4304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - g)*(-g**2 - 3*g + 3*g) + 3 + 2*g**3 - 3 + 4*g**3 - g**3 - 2*g**3 + g**3 + 3*g**2 - 3*g**2 - 4*g**3 + 53*g**3 + 65*g**3.\nAnswer: 119*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1722.071+-28.543\nAnswer: -1750.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 32 = 8*z - 4*t, 2*z - 23 = 5*t. Solve 0 = 3*r - 5*r + 4*j, 6 = -r - z*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1057.132?\nAnswer: -5285.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -489 * -11.\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**4 + 0*s**4 - 6*s**4 + (4*s**3 - 4*s**3 + s**3)*(2*s + s - 4*s) in the form j + n*s**2 + l*s**3 + i*s + t*s**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 2. Let s(c) = 0*c + 3 - 2*c + 1 - c**w + 5*c. Determine s(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/64, 1\/8, -14, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (11 - (-1 + -12 + 20)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*g = 23, -2*a + 14 = -4*a - 3*g. Let q be 1 - 0 - (a - -2). Suppose q*j = j. Solve j = 2*z + 3*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 8. Let l be -1 + -26 + (4 - p). List the prime factors of (10\/l)\/(2\/(-70)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 89*w - 324. What is h(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15245.\nAnswer: 5, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 4*g**2 - 10*g - 2*g + 0*g**2.\nAnswer: -2*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 less than -83858?\nAnswer: -83778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/3)\/q)*q**5\/q)\/(q\/(q\/(q\/(q*q**(-1\/7))))*q*q\/(q\/q**(6\/5)*q)))\/(q**1\/((q*q*(q*q**(2\/3))\/q*q*q)\/q*q))**(-45) assuming q is positive.\nAnswer: q**(-16766\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2411\/37 or 0.2?\nAnswer: 2411\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12696 - 66.3569?\nAnswer: -12762.3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 209\/4 - 52. Let f = 1627 - 1627.1. Which is the closest to f? (a) 1 (b) u (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11. Let s be 1 + 2 + p\/(-1). Suppose 0 = -s*t + 49 - 1. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.6 - -5. Let h(k) = -4*k**2 - 32*k + 31. Let a be h(-9). What is the closest to u in 2\/11, -3\/2, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*b*f**3 + 887*b*f + 51*f**5 + 4 wrt f?\nAnswer: 144*b*f + 1020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/783 and 1\/94743?\nAnswer: 94743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 404 + -403.7. Let w = -425 + 430. Put w, f, 0.26 in decreasing order.\nAnswer: w, f, 0.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 929400 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1210)\/60 - (-1 - 15\/(-18)). Calculate the common denominator of i\/(-50)*(122\/(-16) - -1) and -5\/336.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 28 = 14*g. Let z = g - -32. Solve -4*y + y + 12 = 0, 3*y + 4 = z*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 2 + ((-5616)\/(-104) - 36).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 84*a**2 - 4*a - 1. Let b(t) = 253*t**2 - 14*t - 3. What is -2*b(j) + 7*d(j)?\nAnswer: 82*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 0, 3\/4, -3\/5.\nAnswer: -3\/5, 0, 3\/4, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10427 divided by 1996.\nAnswer: 10427\/1996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -637, -1\/3, 1, 0.1, -2, -4\/7?\nAnswer: -637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-1)*o**19\/o assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50009 is divided by 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 11:18 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 42 + 28 = 3*s, -5*k = 4*s + 19. Sort -0.6, k, 0, 290.\nAnswer: -0.6, 0, k, 290","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 68*k**2. Let a(l) = -1 + 1 + 40597*l - 40579*l + 0. Determine c(a(m)).\nAnswer: 22032*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.63 - -6.62997341. What is w rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 7 = 7*u. Is 1078 - (4\/(-12))\/(u\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-532)\/209*(-88)\/(-48)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + (sqrt(63) - sqrt(63)*-2)*5 - sqrt(63))*-4)\/(sqrt(90)\/(sqrt(120)\/(-3*sqrt(12) - sqrt(12)))).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 37\/222 + ((-47)\/30 - -1). Let n = 137 - 687\/5. Is m greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, j: 4, v: 9}. What is prob of sequence jk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187248441.\nAnswer: 3, 227, 274961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -34*q**2 - 37*q - 1. Calculate d(-2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -2*j**3 - 3213. Let i(c) = 2*c - 2*c - c. What is u(i(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + -4*((1 + sqrt(76) - sqrt(76))*4 - (sqrt(76) - (sqrt(76) - (sqrt(76) + 2*(sqrt(76) + 3))**2))) + -4).\nAnswer: -8586 - 864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/10 and (-426)\/48 + (-1 - (-4 + 1)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 1, a: 8, k: 3, q: 1, g: 2}. What is prob of picking 1 g and 1 a?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 191 - 107. Calculate the lowest common multiple of 66 and u.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16 = -5*j, 4*j - 4 = -3*d + 5*d. Suppose 6*s = 7*s - j. Let g be (-5)\/((-15)\/191994) + s. Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 0*i**3 - 3\/2*i**4 + 6 + 13*i. Differentiate l(x) wrt x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 232 and 1450?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 3) to base 2.\nAnswer: 1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170855827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 176295877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -54. Let c = q + -17.5. Put 5, -0.4, c in decreasing order.\nAnswer: 5, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c*c**(-7\/5)*c)\/(c**5\/c*(c\/c**(1\/4))\/c)*((c\/c**(2\/9))\/(c\/((c\/c**(-5\/3))\/c)*c))\/(c\/c**0)**16 assuming c is positive.\nAnswer: c**(-23209\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 101100, 1\/3, -179?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/22, -5, 3\/8, -0.014?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 + (-3 - -1 - (-6 - -6)). Solve 16 = -s*k + 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d + 492 = -89*d - 13*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19416406 and -0.1?\nAnswer: 1941640.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -13*z + 32. Let h = -24 + z. What is the units digit of ((h - -4) + -4)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-8)\/(-32)*(-8)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1680\/126)\/(-40)*(-126)\/(4\/2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/8 - r**3\/4 - r**2\/8.\nAnswer: -r**2*(r + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htcrrtr. What is prob of picking 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 3*d**2 + 3*d**2 - 4*d - 35038613 + 4*d + 35038613.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(2400\/(-1380))\/40?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.009*-8444\nAnswer: -75.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r - j - 6, 0 = 4*j + 20. Suppose 13*m - 8*m + 35 = r. Sort 2, m, -1, 1 in descending order.\nAnswer: 2, 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -414208 by 5.\nAnswer: -414208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 7*l**2 - 16. Let i(n) = -13 - n**3 - n**3 + 37 - 10*n**2. Let y(c) = -8*h(c) - 5*i(c). Let y(o) = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 6487*b**2 - 1622*b.\nAnswer: b*(b + 1622)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 17 - 15 = 0. Let h(f) = -4*f**3 + 4*f**2 + 5*f. What are the prime factors of h(s)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (-7 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s. Let q(a) = -7*a**2. Let o = -6 - -11. Let i(u) = 8*u**2. Let f(j) = o*q(j) + 4*i(j). Calculate c(f(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 7*t + 2. Suppose -3*b - 4*o = -70, 4*b - 2*o = -o + 87. What is the remainder when b is divided by y(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18 - -2)\/4*1. Suppose l + 15 = f*r, -r - 5*l + 9 = -5*r. Suppose 0*q - 184 = -r*q. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*h + 332 = 273*h - 1216 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 3, c: 10, d: 1, x: 1, h: 2}. Give prob of sequence du.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -22, 0, -17\/105, 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283007\/4028 + -10\/1007. Is 69 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -9. Let p = 23 - h. What is the units digit of (3 - 4)\/((-2)\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -956045 (base 10) to base 12\nAnswer: -3a1325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470583, -470604, -470639, -470688?\nAnswer: -470751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12421\/350 + 764\/25. Calculate the common denominator of (-13)\/(-2)*60\/200 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48605+0.4\nAnswer: 48605.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a0 (base 11) to base 6.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412420141 - -3?\nAnswer: -1412420133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -456633 < -458649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10100*r + 17238*r - 8943*r as w + i*r and give i.\nAnswer: -1805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 487910.9 decades?\nAnswer: 4879.109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -254*z + 14456. What is k(57)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 185744 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, 33, -2\/3, 0.04, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b*b**(-2)\/b)\/(b\/(b*b**(3\/7))*b*b**(-1\/7))*(b**(1\/2)*b*b*b**(3\/8)*b)**(-11\/6) assuming b is positive.\nAnswer: b**(-3371\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:24 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -295 - -300. Solve -z + k = -t*z - 15, -3*z = 2*k + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59138843226+-0.5\nAnswer: -59138843226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p - 420 - 416 + 4*p + 41.\nAnswer: p - 795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2016 and 125496.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/(-715))\/1)\/((-378)\/(-252))?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/44, -2\/17, -8, -2\/3?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/80*140\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 + 38 + 310*m - 307*m)*(0*m + 9*m - 5*m) as g*m**2 + l + d*m and give d.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f + 8*f - 40*f + 6*f + 8*f + 5*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -90, 431, 986, 1575?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((25\/((-2875)\/92))\/(-38)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2474319 and 345.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-1)\/(-2)) + 12. Suppose -x = -s + 9. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, -5 in descending order.\nAnswer: -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - b**3\/3 + 4*b. Suppose -5*i + 5*y - 50 = 0, 20 = -3*i - i - y. Let c be 0\/2 - i\/3. Give t(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -17*q + 7. Solve q*g = 6*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.8. What is the closest to 0.2 in k, -5, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 - 10*j - 13. Let n(z) = z**3 + 18*z**2 + 17*z - 7. Let l be n(-17). Let f be k(l). What is the highest common factor of 12 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fllxnxlflnnxlnylnxlj. Give prob of picking 2 f, 1 l, and 1 n.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = 31*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 2 (c) 11\/226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teaataeeeet. What is prob of picking 1 a and 1 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 12*s**2 + s - 9. Let a be k(12). Solve -c + 7 = -5*q, a*q - 3 = 4*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -36 - (14 + -13 + (-2 - -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 766.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.0941059 + 269.\nAnswer: 274.0941059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -97, -164, -58 in ascending order.\nAnswer: -164, -97, -58, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**2 + 2*p**2 - 3*p**2 + 1 - p**2 - 1 + p**2 + 3*p**2 - 6*p**2 + (2*p + 0 + 0)*(4 - p - 4) - 2*p - 2*p**2 + 2*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/7 - 2*r**4\/7 - 6*r**3\/7 + 2*r**2\/7 + 4*r\/7 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*u - 43 - 46*u - 50*u - 6 + 188*u - 40*u.\nAnswer: 6*u - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106097 - 106117. Let d = 155 - 617\/4. What is the closest to s in d, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/45 (b) 0.099 (c) -4 (d) -21890 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863834600?\nAnswer: 2, 5, 17, 29, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 1. Let i be u(1). Let f be (-4 - -3) + 1 - -3. Let m = -1154 + 1169. Solve -5*r = k - f*k - i, r = 5*k + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192156, -384310, -576464, -768618, -960772, -1152926?\nAnswer: -1345080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u**2 + 744*u - 1822. What is j(89)?\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 427 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. What is l(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 342.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289692504 to the nearest integer?\nAnswer: 17020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 11*i**2 + 10*i + 3. Let d be t(-10). Suppose 2*n = -4*c, -n - 3*n + d*c = -44. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 4*c + 12, 5*o = 4*c - 6*c - 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(187) - 3*sqrt(187)*-1 - (-6*1*sqrt(187) + sqrt(187))))\/((sqrt(132)*2*4)\/(sqrt(48)\/sqrt(4)*-6)*-6))**2.\nAnswer: 12393\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*t - 234 = -w, 3*w + 2*t = 364. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56444466 or 56444467?\nAnswer: 56444467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u - 8. Let v(c) = -5*c - 8. Determine -3*r(o) + 2*v(o).\nAnswer: 8*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-41)\/(1107\/(-396)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l - 10 - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + -5 + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 1462 + 4686*x**2 + 2319 - 4685*x**2 in the form o*x**2 + v + h*x and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34580?\nAnswer: 2, 5, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54.35 + 0.35. Let w = s + 48. Which is the nearest to 2\/5? (a) -0.4 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 297.\nAnswer: 20790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 10*g - 8. Let s be p(-8). Let v be ((-12)\/s)\/(-3) + 0. Let o = -4.29 - -0.29. Which is the second biggest value? (a) 3\/4 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3 - 50070490*v**2 - 50070487*v + 100140978 = 0?\nAnswer: -50070489, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and 4350?\nAnswer: -1000.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 9*i**2 + 4. What are the prime factors of a(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1675000 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 3*f**3 + 4*f**3 + (4*f + 5*f + 0*f)*(7*f**2 - 3*f**2 + 10*f**2).\nAnswer: 128*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 10*a - 10. List the prime factors of c(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 - 133*q - 134 = 0 for q.\nAnswer: -1, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 64 + 64 + (2 - 2 - y)*(-104 + 1 + 43) - 2*y + 0 + 0 - 1 - 2 + 3*y + 1 as m + d*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-nine halves of a millennium?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -18, -9 in increasing order.\nAnswer: -18, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 9*u**2 - 14*u - 1. Let l be m(-7). What is the units digit of (0 + 2)*l*6\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/96)\/(-7)*2976\/(-2480)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2)\/((-27)\/54)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 8*g + 250 = 3*g, 2*o + 103 = -5*g. Let u be (-2 - -1 - o)*1. Suppose -z = 3*z - u. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3115 - 3106. What is the remainder when 638 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/3, -4, -1, -496, 1\/10.\nAnswer: -496, -4, -1, 1\/10, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/2, -0.34, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/35)\/(-3*(-3)\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704991 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: What is the greatest common factor of 5628386 and 8128?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**2 - 347 - 253 - 2*y + 43 + 0*y - 1439*y**4 + 551*y**4 wrt y.\nAnswer: -21312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/104)\/(2\/16*10). Let 16\/5*a - m*a**2 - 32\/5 = 0. What is a?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-12)*(-3 - (0\/(-5) - 0))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 84*h**4 + 498*h**3 + 1260*h**2 + 675*h = 0. What is h?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5, -218 = 4*s - 5*s - 4*a. Suppose x - s = -0*x + 4*i, 3*x - 714 = 4*i. Let m(r) = -238*r + 4*r**2 + x*r. Let p(l) = -l. What is m(p(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319 - -330. What is the second biggest value in 5, -1, f, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 4:07 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 27*z**2 - 2*z - 1. Let i be q(-1). Suppose 127 - 124 = l. Suppose -117 = -l*s - 5*b, s + 2*b + i = 2*s. Does 30 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -254 by -20.\nAnswer: 127\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/g**(-6)*(g*g\/((g\/(g*g*g\/g**1*g*g))\/g*g))**(-30))\/((g**(-2\/3))**(-4\/3)\/(g*g**6*g\/(g*g*g\/(g*g*(g\/((g**5\/g)\/g)*g)\/g)*g))) assuming g is positive.\nAnswer: g**(-1241\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 218 = -4*o, 0 = -5*o + 5*w - 165 + 460. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17020 + -17184.33. Let y = 12 + 153. Let l = p + y. What is l rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/5 - 2535\/4225?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -206*n + 201*n - y - 37, -y = 2*n + 16 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 2 - 2 + (0*v + v + v)*(4 + 2*v - v + 14).\nAnswer: v**2 + 36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*i - 647 - 541. Suppose 0 = 4*n - 2*p - 648, 2*p - 157 = -45*n + i*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-42)*((-200)\/300 + (-85)\/(-60))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-2))\/(1\/(-2)))\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 692699 = -5*m, d = 2*m + m - 415613. Let y = m - 73539. What is y rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21)*(-56)\/120. Let f = -11\/4 + 9\/4. What is the closest to -0.1 in f, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4102, -2.\nAnswer: -4102, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-6) + (-344)\/(-2064)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:21 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2759.1 times 0.1?\nAnswer: -275.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 12:53 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447058631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tddnatdanttnt.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7\/3. Let o = 12.5 - 12.1. Let r = -1.33 + 0.33. What is the second smallest value in h, r, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4154.\nAnswer: 2\/2077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Let w = -141 - -565\/4. Which is the closest to -5? (a) u (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.92 - 19.22. Let o = z - -17.30000103. What is o rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 32*l**4\/9 + 340528*l**3\/9 - 56762*l**2\/3 - 148990*l\/9 - 21284\/9 = 0?\nAnswer: -10642, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 823717 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 122, -31, -184?\n\"Answer: -153*y + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -97400?\nAnswer: 973b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*o + 2 - 3, 0 = -5*i - 5*o. Let x be (-93)\/124*(-133 - i). What is the greatest common divisor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1373*i + 1323*i - 2708*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 33*q - 86 + 36.\nAnswer: 33*q + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 6*q. Suppose q = 4*z - 47 - 33. Solve -c = 3*c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -5484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -d**3\/3 - 17*d**2\/2 - 11*d - 2. Suppose -80 = 4*y + y. What is the units digit of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Let o(z) = -6*z + 1. Let t(w) = -5*h(w) + o(w). Let x(n) be the first derivative of -n + 1. Calculate -2*t(l) - 14*x(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -160875 divided by -32175?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2\/7*n**2 + 32\/7 + 16\/7*n = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 110*m - 29 - 97*m + 65.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 411*k - 8. Let y(d) = -49*d + 10598*d**2 - 10600*d**2 + 49*d. Determine w(y(z)).\nAnswer: -4*z**4 + 822*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -19*f - 2. Let w(p) = -19*p - 1. Let y(u) = 2*a(u) - 3*w(u). Let i be y(1). What is the highest common divisor of 72 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 30 = 3*z, -5*q - 389 = -4*z - 297 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -488*j**2 + 156*j**2 + 183*j**2 to s*j**2 + h*j + p and give s.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 9*u**2 - 4*u**2)*(-2*u**2 + 4*u**2 + u**3 + u**3).\nAnswer: -20*u**5 - 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/12 - (-468)\/(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 522407 by 197.\nAnswer: 522407\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 110*f**3 - 6*f**2 - 5*f - 6. Let c(o) = -222*o**3 + 11*o**2 + 9*o + 11. Calculate 6*c(u) + 11*k(u).\nAnswer: -122*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8.79 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122047*z + 27*z**2 - 122047*z + 63*z**2 + 63*z**2 + 48*z**2.\nAnswer: 201*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asa when three letters picked without replacement from {a: 6, b: 1, o: 3, s: 1, v: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*u - 287 + 73, 0 = -4*b - 12. Calculate the remainder when u is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119976 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = -4. Suppose -2*y = 129 + 25. Let f = -386\/5 - y. Which is the third biggest value? (a) -5 (b) f (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27534, -110031, -247524, -440013, -687498?\n\"Answer: -27498*v**2 - 3*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 2133.\nAnswer: -2132.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*26\/65)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n + 30736257*n**2 + 22*n + 22*n - 30736059*n**2.\nAnswer: 198*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 11*k - 21. Is 14 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1472.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 3:36 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 2 = -4*i, -5*v = -4*i - 10. Let w(m) = 2*m + 0*m + v + 0*m**2 + 2*m**2. Suppose -3*s = 2*s + 3*q - 5, -5*q = 5*s - 15. Give w(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01613843427 to 6 dps.\nAnswer: 0.016138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmm when three letters picked without replacement from omoohooolppomomoooh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 5*o**2)*(-2*o + 2 - 2) - 3*o**3 + o**3 + 0*o**3 - o**2 - o**3 + o**2 + (0 - 2*o + 0)*(-o**2 - 3*o**2 + 6*o**2) - o**3 - o + o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1827 (base 9) to base 15.\nAnswer: -637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 38 + 2. Suppose -117 = -4*o + o - 3*i, 5*o + 4*i - 200 = 0. Let s = o - 26. Calculate the least common multiple of k and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Let k be z\/(-5) - (-26)\/22. Suppose 4*l = l. Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 6268.4?\nAnswer: 6268.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(84\/(-14211)) + (-2)\/8. Let d = z + -519. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*(-2)\/2*(-7)\/(-21). Let w be (12\/(-21))\/(74\/q*3). Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6*c**3 - 6*c**2 + 22*c - 7. Let a(n) = -2*n**3 - 2*n**2 + 7*n - 2. Determine 7*a(k) - 2*b(k).\nAnswer: -2*k**3 - 2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 640135 and 42085.\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 890 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15680\/(-21))\/7*525. Round x to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4705*p + 400239 = -1660*p + 3308*p for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -11. Suppose x*l - 7 - 25 = 0. Suppose -8*n + l = -4*n. Solve n*t = 2*y + 10, 2*t - 7*t + 20 = -4*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19314891437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-12))\/(-1))\/(1 + 425\/(-459))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(f**3 + 52*f**2 - 1 + 80*f**2 - 73*f**2).\nAnswer: -f**3 - 59*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - 664 = -634 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((3\/(-45))\/1)*4\/18.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d. Let m(r) = r**3 - 7*r**2 + 9*r + 8. Let c be m(2). Let q(i) be the second derivative of 1\/6*i**4 + 0 + 0*i**3 + c*i + 0*i**2. What is w(q(n))?\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -41637413?\nAnswer: -41637406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1717 + 40782?\nAnswer: 39065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7887.\nAnswer: 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-3)\/g)*g**(3\/5))**48\/((g**(2\/7)\/g)\/(g*g**(-1)*g*g)*(g\/(g**(-6)*g))\/g**(4\/3)) assuming g is positive.\nAnswer: g**(33059\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -2*z. Suppose 3*h = -2*q - 2 - 3, z = -4*q + 5*h + 45. Suppose 19 = 5*y - 0*w - 3*w, q*y - 13 = w. Solve 0 = -p + 7 - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyvvviidiiigwiwiwii. Give prob of sequence wdi.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.9. Let q = -6 - 0. Let h = 6.2 + q. Which is the smallest value? (a) 0.3 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from {r: 4, d: 2, u: 1, k: 4, v: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 209485.9 and 12.\nAnswer: 2513830.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 8*s**2 + s - 6. Let q be u(8). Find the third derivative of -q*o**3 - 16*o**2 + 6*o**2 + o**3 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r + 1. Suppose -4*g = -v - 18, -5*v = 2*g - 4*g. Suppose v*t = 11 + 7. Calculate the smallest common multiple of j(-1) and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 103623584?\nAnswer: 103623567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1078 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/17 (b) 0.1 (c) -0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + -1 + (-140)\/35. What is the nearest to -3.3 in -4, w, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + -8. Let k = -35 - x. Solve b - 3*d + 5 = 0, -4 - 3 = 5*b + k*d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11980*f - 11667*f + 4604 = -22001 for f.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3520)*1)\/(sqrt(60)\/(sqrt(12)*-1) - (sqrt(45) + sqrt(45)*1)).\nAnswer: -32*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 10*u**4 - 24*u**3 + 88*u**2 + 160*u = 0. What is u?\nAnswer: -2, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 52 + 48)*(1 + 0 + 1)*(-l**4 - 4*l**4 + 3*l**4).\nAnswer: -228*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q - 74. What is f(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*j + 84 = -202*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -46 + (0 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 200 = -3*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 23. Let x = 15 + j. Solve -3*w - t + x = 17, -2*w - 2*t - 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a factor of 744876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1166.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t**(-4))*t\/t**(2\/23)*(t**24)**10 assuming t is positive.\nAnswer: t**(5656\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-570)\/(-60)*(6\/3)\/1. Let o be ((-18)\/(-5))\/((-1)\/(-5)). Suppose 0 = -q*l + o*l + 77. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = -c + 9*c. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5 - 343*a**3 + 1666*a**2 wrt a.\nAnswer: 180*a**2 - 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 2*u - 1807626 = 0, -4*u - 1260589 = -4*r - 55505. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.1. Let q = -15 + 17. Let c = -0.31 - -0.01. What is the nearest to o in -5, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/63)\/((-2)\/(6\/23))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3840 and 83\/32?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*2\/(-3). Let y = d - -3. Solve 3*f - 7 = y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 39032256.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2043 + -101134?\nAnswer: -44041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/1620 - 7*o**5\/270 + 49*o**4\/108 + 7*o**3\/3 - 2*o - 18. Let s(y) be the second derivative of p(y). Factor s(h).\nAnswer: 2*(h - 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148392 and 10763?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from vssssssv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 11 - 83 = 0. Suppose -5*z - 4*c = -29, -3*z - 3*c + 0 = -b. Solve p + 16 = z*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 903.9*-0.2\nAnswer: -180.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121311 + -3441?\nAnswer: -125152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 14, q: 4}. What is prob of picking 2 q and 1 f?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (50 - (58 + 4)) + (1 - -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -720 - -723. What is the hundreds digit of (f\/((-18)\/4))\/((-216)\/132516)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281376 - 96690 = 10183*w - 548490 for w.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 309571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 16*u - 125. What is the remainder when 67 is divided by d(10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*l - 51208, -244*l + 249*l + 76808 = 3*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 8:02 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37230 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + y = 46, 3*y = 2*i + 21 - 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-2920)\/1152 - 25\/(-1350)*12)?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from eooeeoreooa?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 28, 63, 110, 169?\n\"Answer: 6*p**2 + 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 249*q + 54 + 248*q + (-1 + 4 - 1)*(-4*q - 3*q + 5*q) to h*q + k and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159488 divided by 4.\nAnswer: -39872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(28) - sqrt(84)\/sqrt(3)) + sqrt(28) + (2 + sqrt(7)*1)**2.\nAnswer: 9 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1957276580 divided by -489319145?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 6*p - 9. Determine d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985, -992, -1011, -1048, -1109, -1200, -1327, -1496?\nAnswer: -1713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twt when three letters picked without replacement from ttttwekvtkkkttk.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-6)\/(-2) - (1 + -16). Suppose -274 = -v*a + 446. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuqvzqvvkuuuzzqvzz. Give prob of picking 2 z and 1 v.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34306737 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 85 = -167. Let m be ((-4)\/1)\/(10\/(-110)). Let q = f - m. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*a**5 + a**4 + 1274*a**3 - a**2 - 14*a + 11.\nAnswer: -300*a**2 + 24*a + 7644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184728319?\nAnswer: 59, 79, 254179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 9 - 9 + 3*v**2 as w + u*v + x*v**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201 - -209. Let i(a) = -a**3 + 8*a**2 - a + 10. Determine i(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**7\/210 + l**6\/30 - l**5\/10 + l**4\/6 - l**3\/6 - 21*l**2. Determine o so that j(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 - 28*t + 37*t - 27 - 27 - 4.\nAnswer: 9*t + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 1 + 48\/2. Let s(j) = j**2 + 6*j + 3. Let u be s(-5). Let v = m + u. Solve -w = -h + 3, 4*h + 0*w + 5*w = v for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -19 + 54 - 4*w - 29. Let l(m) be the third derivative of m**4\/12 - m**3\/2 - 13*m**2 - 2. Calculate -7*l(t) - 4*n(t).\nAnswer: 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -28*a**2 - 3*a + 4. Let i be u(3). Let v be (-4 + 2)\/((-2)\/i). Is 2*2\/(-4)*v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -22 - 5*w**2 + 22. Let z(d) = -d**2. Give g(z(k)).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 1 + 1)*(2 - 5 + 5) - 5*s + 1 - 1 - s + 0*s - 3*s + (5 + 11 + 12)*(s + 0*s - 2*s).\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1334, 1326, 1318, 1310, 1302?\n\"Answer: -8*q + 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i + 416 = -144 + 150 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1 = 3*m - 2, 0 = m + v - 11. Let n = 8 - m. Suppose -13 = -3*y + n*y. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 16*h + 15, -3*t + h = -1007405. Round t to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2*2 - -2). Let i be -4*(h - (-2 - -3)). Suppose 2*z + 2*g + 6 = 0, 5*z - 4 = i*g + 17. Calculate the greatest common factor of z and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(11) + 2)*3)**2.\nAnswer: 72*sqrt(11) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8*8\/192*15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - -50 - ((0 - -3) + 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 39. Suppose 6*i - 2*i = g. Suppose 0 = -8*q + 45 + i. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240577063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/24 + 0 + 5\/30. Let o be (-4)\/(-6) + 14\/6. Find the second derivative of -h*f**3 + 5*f**3 - o*f**3 + f + f wrt f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34223, 34222, 34221?\n\"Answer: -s + 34224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 15*q**2 + 8*q - 11*q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 10*m - 19. What is f(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -49*m**4\/2 - 9418577*m**3\/2 - 13454960*m**2 - 9610650*m = 0. Calculate m.\nAnswer: -192213, -10\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 - 4*x + 17. Suppose 2*t + 20 = -2*t. What is the hundreds digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 2366 - 4522 = 0. Let h = l + -387. List the prime factors of h.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 12\nAnswer: -13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5509080 divided by 180?\nAnswer: -30606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 - l + 1. Let r(q) = -571*q**3 + 10*q**2 - 5*q + 494. Let c(f) = 5*n(f) - r(f). What is the derivative of c(z) wrt z?\nAnswer: 1698*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 - 64. Solve 0 = i + 5*c - 2, -6 = -0*i + i - g*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2*w - 3*w - 2*w)*(-2*w**2 + 3*w**2 + w**2).\nAnswer: 4*w**4 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261572?\nAnswer: 2, 65393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4627 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {b: 3, z: 1, c: 3, l: 7, i: 3, n: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 27 - (8 - (-1 + 10)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143761, 143759, 143753, 143749, 143753, 143771?\nAnswer: 143809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 16*r - 1. Let q be n(-1). Let o = q - -19. Let j(x) = -o*x + 10 + 12 - 22. Let v(u) = 8*u**2. Calculate v(j(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 + -182. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 20 = 9*f. Suppose -5*b - 2*y = -6799, f*y + 8 = -4. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (16 - 12))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33672 and 216?\nAnswer: 303048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*y**4 + 5036*y**3 + y**2 - 966259*y.\nAnswer: 348*y**2 + 30216*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -387 - 1099.7044276?\nAnswer: -1486.7044276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13674 divided by 5\nAnswer: -13674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136556.2 and 1.2.\nAnswer: -163867.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, -4, 4 in descending order.\nAnswer: 14, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 5. Let n = -9 - -6. Put n, a, 1 in descending order.\nAnswer: 1, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. Suppose -60750 = -8*u + a*u. Let b be (1618\/6 + -3)*u. What is b rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/((-18)\/(-45)). Let l be (-4 + 1 - f)*-3. Sort 0, l, 4.\nAnswer: 0, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 - l - 1. Suppose -11 = 173*o - 162*o. Let s(p) = -8*p**3 + 12*p**2 - 14*p - 12. Give o*s(n) + 12*j(n).\nAnswer: -4*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10559 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 163ab (base 16) to base 10\nAnswer: 91051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v + 183. Let n(b) = 3*b - 51. Let r(l) = 18*n(l) + 5*z(l). Suppose -5*i = 2 - 12. Let u(y) = -1 - 5*y + 4 - 2 + i. Give -4*r(o) - 3*u(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5139.8 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 5*r + 3*r)*(3*r - 2 + 3 + 1) + (-8 + 7*r + 8)*(0 + 0 - 3*r) + 5*r - 5*r - 4*r**2.\nAnswer: -31*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 34. Let q be r\/(-10) + 19\/(-35). Is q > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-12))\/((-5)\/(-40)). Suppose 138 = s + l. Let g be 3*((-22)\/(-3) + -2). What is the highest common divisor of s and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(7 + (-198)\/30)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48860 is divided by 4886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711.\nAnswer: 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1099 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezvlvvvzs. Give prob of sequence zel.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (292 - 298)\/(8\/16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y**2 - 5*y + 2. Let n = 22 - 19. Calculate d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03318927978 to 4 dps.\nAnswer: 0.0332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -230 - 5755a?\nAnswer: -5778a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -629726.9478 + 630041. Let k = -0.00555 + 314.00555. Let a = k - p. What is a rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 18*r**2 + 20*r - 57. Let i be o(23). Suppose i = 5*c + 7*c. Calculate the remainder when c is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698*u - 55*u**2 - 122*u + 3*u**2 + 820*u - 8*u**2.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + 7*h + 7. Let p(v) = -3*v**2 - 2*v - 2. Let c(o) = -4*a(o) - 14*p(o). Let j(x) = -2*x + 42. What is j(c(y))?\nAnswer: -4*y**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 0)*(0 + 2*n + 0).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:37 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(12*4\/(-40))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(4\/7)\/u)\/u)*u\/u**(-2\/33))**45 assuming u is positive.\nAnswer: u**(12090\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a5a8 (base 11) in base 4?\nAnswer: 13000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 181876*m - 63. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 p when four letters picked without replacement from lppplppplppppppppp.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v**3 + 43*v**3 + 13*v - 240*v**3 + 81*v**3 - 14*v.\nAnswer: -71*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 3. Let b(d) = -3*d + 7. Let a(n) = -3*b(n) - 5*z(n). Let j be a(-6). Suppose j*l + 2*l - 24 = 0. Solve -h - l = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 25. Is 5 a factor of 4\/g - (1392\/(-14))\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 12, 44, 92?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18b - 1973?\nAnswer: -1b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/107 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0383 * 0.13969.\nAnswer: -0.005350127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448*y**3 + 1675*y?\nAnswer: -2688*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1056785, 2113589, 3170405, 4227239, 5284097, 6340985, 7397909, 8454875?\n\"Answer: n**3 + 1056797*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 193 - 751 = 0. What is the remainder when k is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4684797 litres?\nAnswer: 468.4797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216884384?\nAnswer: 2, 6777637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 452*k**2 - 266*k - 2. Is 143 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - -67 - (97 + -1 + (4 - -3)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172*q**4 + 2 + 5*q**2 + 169*q**4 - 2*q**5 - 335*q**4 + 9 wrt q?\nAnswer: -120*q**2 + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:57 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 8:19 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = -0*n. Suppose 0 = -100*p + 11*p - 24*p + 339. Suppose 0*y = n*y - 4*w - 34, w - p = 0. Calculate the highest common factor of y and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3081, 6795, 10463, 14079, 17637?\nAnswer: 21131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*-1*4. Let j(d) = -d - 4. Let n be j(-5). Factor 0*l**g - 6*l + n - 2 + 3*l**2 + 4.\nAnswer: 3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690991028?\nAnswer: 2, 7, 13, 71, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2425 + -76?\nAnswer: -2523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, 16, 75, 188, 373?\n\"Answer: 3*u**3 + 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7 + 1. List the prime factors of t - (582 - -2)\/(-4) - 3.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = 2*h, 10*o - 5*o = -5*h - 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -204*o**2 - 212*o**2 - 204*o**2 + 622*o**2. Let d(x) be the third derivative of -x**5\/20 + x**2. Give d(f(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abqcbbcbbbacaqqmbbc. What is prob of picking 1 b and 2 q?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/37, -67, -8\/7, 0.5?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152 - (-51 - -208)) + 0 + -3 + 63 + -2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 12. Let n be r(-8). Let k(u) = -4 - 1 - n*u + 0 + 4 - u**2. What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63864800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((88\/121)\/(2\/(-11)))\/((-20)\/(-420)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004274045 rounded to 6 dps?\nAnswer: -0.000427","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 36 - 122 = -4*t, o = 5*t + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 35889236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4618 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -2*o. Let b be (-6)\/o - (-1)\/(-5). What is the remainder when (12\/30)\/(b\/60) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*x, -x - 176 = 3*m + x. Let t = m + 21. Let k be 4*(-2 + t\/(-18)). Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.048792 - -2.0097. Round y to 4 dps.\nAnswer: -0.0391","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = w - 12. Let h(z) = -w - 1 + 7 + 6*z + 2*z**2. Does 4 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*c - 48*c - 55*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631114775 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*f - 143 + 145 = 0, -f + 5 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50875257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 109770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 4*a - 8671 = 2*h, 4*h - 8683 = -5*a. Calculate the remainder when a is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4\/6 + 11*o**3\/2 - 11*o**2\/2 + 5*o. Suppose 6*d - 19*d - 221 = 0. List the prime factors of y(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1160 and 18?\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c - 1\/12*c**4 + 104 + 5\/6*c**3 + 11\/2*c**2. Calculate v(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvpvvvvppvvvpvvpvv. What is prob of picking 1 v and 2 p?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 1673 + 3298 + 0*j - 1625 + 84*j**2.\nAnswer: 84*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750226, 1500181, 2250136, 3000091, 3750046?\nAnswer: 4500001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, 8, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {o: 4, j: 7}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67631424 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-19))\/((-25)\/25*(-2)\/4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 568 - 313. Let j = 30 - 15. What is the greatest common divisor of i and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3683 - 3682.998191. What is l rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 4 - 1 + 0 + 1. Let n be u(2). Let d(x) = x + 14700000. Let y be d(n). What is y rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 524 and 17354487.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*p = 405, 4*p - 90 = -c + 6*p. What is the remainder when 232 is divided by c?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0*c**4 + 0 + 0*c + 0*c**3 - 9\/8*c**6 + 44*c**2 - c**5. Find the third derivative of x(d) wrt d.\nAnswer: -810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07896877 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j + 77*j - 20*j + 49*j.\nAnswer: 92*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -280 + 283. What is the lowest common multiple of 88 and (17\/(-2) + p)*-2?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 4 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1700)*1 - sqrt(1700)) - -4*(sqrt(1700) - sqrt(1700)*-2) - (2 + (sqrt(1700)*-1 - sqrt(1700)) + -3*sqrt(1700)*-1))**2*-1.\nAnswer: -205701 + 220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.3 - -0.2. Let q = -6 - u. Which is the second smallest value? (a) -2 (b) -2\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.9\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56181151.001723 + 56177756. Let t = 3395 + m. What is t rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 284.\nAnswer: 5\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -2 + 0 + sqrt(425) + 2)*4*-1)**2.\nAnswer: -480*sqrt(17) + 6944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 15701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:29 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-16*n + 16*n - 4*n**5).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -12*m + 56. What are the prime factors of x(-9)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 164 = -64. Let s be 38\/y*(-2 + 1). What is the closest to -1 in -0.6, -33, 2\/5, s?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-204)\/306)\/((-4)\/17274)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -25, 3301, -2 in decreasing order.\nAnswer: 3301, 7, 4, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 9430332*l + 7410930135852.\nAnswer: 3*(l - 1571722)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 0, -8*y + 5*b = -4*y - 20. Suppose y*k - 5 = 15. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/10)\/(1194\/(-240) + 5). Suppose -b - 4*b = 3*v + 512, -j = 2*v - 2*b. Let n = v - -238. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + v + 4752 - 423 = 0, v = 3*d - 6494. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/17000 and -93\/588200.\nAnswer: 2941000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11407757?\nAnswer: 281, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ial when three letters picked without replacement from {i: 2, g: 2, l: 3, a: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -104622.48 minus -0.4?\nAnswer: -104622.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6174 and 5138.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -49*o - 192 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**2 - 1. Let u(c) = -c. Let b = 20 + -12. Suppose 4*h + 4*d = -28, -5*h = -d + 2*d + 19. Give b*u(a) + h*j(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let q(f) = -6*f**2 - 2. Let v(h) = 6*h**2 + 1. Let a(l) = 2*q(l) + 3*v(l). Let d be a(-1). Suppose -4 - 1 = -5*r, 0 = u + 4*r - d. Give o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = h + 15, -h = 962*o + 958*o - 1921*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92503 + 92503 + 573*t)*(-3 + 2 + 2).\nAnswer: 573*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-2255)\/750)\/(-4*(-8)\/128).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 27 + 70 = -47 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 19. Let h = 1\/38 - 87\/418. What is the closest to 3 in i, -2\/5, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60\/91 + 16\/13. Suppose -5*b = n - 4*n - 13, -n + 19 = 3*b. Let h = 6 - n. Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2120 and 29135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13961 and -4.58.\nAnswer: -4.44039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193*v**4 - 24*v**3 + v**2 - 10*v + 8288.\nAnswer: -2316*v**2 - 144*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -160370.\nAnswer: -160373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z - 129 + 169. Find v, given that -1\/3 + 1\/3*v**z + 1\/3*v + 2\/3*v**2 - 1\/3*v**4 - 2\/3*v**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*f - 917 - 3331 = 125 + 2107 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 2 + 10 + 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2163470323876*a**4 - 2163458556884*a**3 - 11766976*a**2 - 16*a.\nAnswer: 4*a*(a - 1)*(735437*a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8828*r**5 + 586*r**2 + 15186058*r.\nAnswer: 176560*r**3 + 1172","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 2*w + 1. Let i be c(-1). Suppose 18*y - 60 = 8*y. Factor -4*q**2 + 2*q**2 - y*q + 0*q**2 + i*q.\nAnswer: -2*q*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217045.7 rounded to the nearest one thousand?\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((12\/(-10))\/(-3)). Suppose 5*v + 5*b = 90, -3*b = 4*v - 0*v - 67. Let s = v + a. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r - 23. Let j = 10 - r. Let p be 1*2\/(-1) + j. Sort -7, p, -4 in decreasing order.\nAnswer: p, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-3) + (-16)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 292, 591, 916, 1279, 1692, 2167, 2716?\n\"Answer: 2*b**3 + b**2 + 282*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -487*x**3\/6 - 1507*x. Let a(i) = -4*i. Determine v(a(k)).\nAnswer: 1948*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 12:22 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 - 2*u - 2. Let i be 18\/(-3) - (-43 - -3). Suppose 40*x - 23*x = i. What is o(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*t - 976*t = 29619 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -189, -292, -395, -498?\n\"Answer: -103*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-91))\/(3\/21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, a: 5, d: 1}. Give prob of sequence dm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4370*k**2 - 66170*k - 883606550 wrt k?\nAnswer: 8740*k - 66170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - b + 4*x = -14, -4*b = -2*x + 18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.044075 months to centuries.\nAnswer: 0.0108700625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 - 45 + 20)*((-2*n - n + 6*n)*(-4 - 2 + 4) + 419 - 212 + 4*n - 211) to the form m + a*n and give m.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*d**3 + 6*d**3 - 70*d**3.\nAnswer: -127*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95923695, 191847390, 287771085, 383694780, 479618475, 575542170?\nAnswer: 671465865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*h + 7, 5*h - 3*h = g + 5. Let y(t) = 3*t. Let n be y(g). Let z = n + 35. Solve m + 4 = -2*q, 4*m - 5*q = -q + z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-261 - 432 + 36)*(4 + 0*b - 2 - 3*b)*(2 - 1 + 0).\nAnswer: 1971*b - 1314","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -39169\nAnswer: 120\/39169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -1)*152\/(-16) + 2. Calculate the greatest common factor of p and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l. Let f(s) = -594*s. What is r(f(b))?\nAnswer: -1188*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, 3\/7, -1\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d**2 - 5*d - 20. Give i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428922 by -23829.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 5*t**4 + t**4 + 4*t - 4*t**4 - 4*t + (-3*t**2 - 5*t**2 - 2*t**2)*(3*t**2 - 2*t**2 + 0*t**2) as j*t + s + a*t**3 + q*t**4 + f*t**2 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4 - (6 - 12)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-20)\/21)*(-20)\/15\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -2.7. Let d = y + -2.26. Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**3 - 15*b + 15. Let w be a(1). Solve -3*z - 37 = -0*n + w*n, 15 = -3*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/8)\/(2\/48). Let h be o\/(-10)*(-6)\/(-4). Is 78\/4*(-18)\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/9163*7 - ((-3615)\/51 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(351)*2*5)\/sqrt(9))\/(sqrt(243) + 6*(sqrt(243) + sqrt(243) + 2*sqrt(243) + sqrt(243)) + sqrt(243) + sqrt(243)).\nAnswer: 10*sqrt(13)\/297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-4 - 3)*3\/(-4). Suppose 4*d - 140 = 4*p, 0 = n*d + 3*p - 92 + 5. Solve 3*b = -3*i + 6, 3*i - 4*b = -i - d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(8\/9)\/h*h**(-13))**(2\/37) assuming h is positive.\nAnswer: h**(-218\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -3*j, -4*j - i + 3 = 0. Let t be 21\/(-6) - 4\/8. Put 5, j, t in descending order.\nAnswer: 5, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 < 418912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:00 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304440 and 9675?\nAnswer: 4566600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 take away -304381?\nAnswer: 304380.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2 - t - 1 + 3*t. Let x be n(3). Suppose x*c = -q + 16, -2*q = 3*c - 0*c - 20. What is the remainder when 5 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**2 - 2*b + 2*b - 3*b**2 - 2*b**2 + b**2 + (2*b - b - 2*b)*(3*b + 3*b - 4*b) - 2*b**2 + 0*b**2 - b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:21 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6802514*g**3 + 0*g + 1468068*g**3 + 0*g.\nAnswer: -5334446*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (14 - 13) - 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21834 - 21815. Let k(i) = -i**3 + 21*i**2 - 38*i + 10. Determine k(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a. Let v be 1 + (-2 - (0 + 0)). Let o be g(v). List the prime factors of -1*24*4\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((6 - 3) + -2)*-3. Let u be -10*(12\/8)\/o. Let m(w) = -w**3 + 6*w**2 - 3*w - 6. Determine m(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 601 and 158339?\nAnswer: 157738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4507*h - 7916*h + 3408*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17081610 to the nearest 100000.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 25. Let i be j(5). Suppose 0 = -i*f + 18*f - 24. Solve -4*l = f*m + 2*m - 17, -2*l = -4*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 17, -5\/4, 6\/23 in descending order.\nAnswer: 17, 6\/23, -5\/4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**9\/168 + 3*s**5\/20 + 3*s**2. What is the third derivative of p(l) wrt l?\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85162.\nAnswer: 2, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m + 0*m**4 - m**2 + 2 - 1\/120*m**6 + 0*m**3 + 3\/20*m**5. Factor s(l).\nAnswer: -l**2*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73765297?\nAnswer: 173, 426389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.33630153 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -12*r - 117. Put r, 0, -5, -3 in decreasing order.\nAnswer: r, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988994965 to the power of 1\/4, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25405534 or 25405541?\nAnswer: 25405541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-156)\/27 + 6\/(-27). Let n(x) = -x + 5. Let g be n(m). Let s = g - 15. Sort -2, s, 0 in ascending order.\nAnswer: s, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2\/7 - 2742*b\/7.\nAnswer: 6*b*(b - 457)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + 403\/(-780). Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.36 and 282.\nAnswer: -101.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46319907 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -3*i. Suppose 4*a + i*j = 91, 3*j = -0*j - 3. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*l + 109288 = 1850*l + 1115*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5*g - 6 = 0, 2*b - 57 = g + 4*g. Let i be (-3)\/(-2)*28\/b. Suppose -4*n = i - 10. Solve n*y + 4 = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4048308979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31436869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 9. Suppose 9 = -4*q + 2*t - 9, 5*q - 5*t = -15. Calculate d(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1373207 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 1 + 4)*(3*q - 2*q + q) + (3 + 21 + 41)*(0 + q + 0)*(-3 - 2 + 4) as r + v*q and give v.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -12 - -8) + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 121*r**2 - 627*r - 61596. Give c(-122).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0.6. Let q = -0.2 + 0.1. Let v = q + y. What is the closest to -1 in v, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 46 = -4*v, -2*p - 35 = 5*v - 114. What is the greatest common factor of 24 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 15*f - 27. What is o(-18)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (25\/((-150)\/(-4)))\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 9:25 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**3 + 409*u**2 + 173*u - 311. Give y(-45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 12 - (-9)\/(-12)*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*u. Let f(b) = -4*b + 3*b + u*b + 6. Suppose -a + 4*a - 15 = -4*r, 5*r - 18 = -3*a. Determine f(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3266 - 2414244?\nAnswer: -2420543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944916551?\nAnswer: 3, 19, 11373781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, -837, -2101, -3349, -4575, -5773?\nAnswer: -6937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 70. Solve f = -3*a, -h - 2 = -a - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:54 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = j + 2062, -5*u + 4*j = -76 - 1992. Solve -3*k**4 + 9*k**3 + 12*k - 415*k**2 + 881*k**2 - 72 - u*k**2 = 0 for k.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12553 is divided by 6253.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/7 + 232*o**2\/7 + 452*o\/7 + 32.\nAnswer: 4*(o + 1)**2*(o + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1 - -5) - (-5 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99 - 108. Let i(q) = -q**3 - 7*q**2 - 7*q + 12. Let z be i(k). Let h = 1090 - z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3631\/7 + 519. Let g = 1 - 0. Which is the nearest to 0.06? (a) g (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68567 = -5*x + 4*t, 0 = 4*x - 2*x - 3*t - 27431. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -17) + 4 + -14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 152 = 23. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 7*p**2 + 12*p**2 - 2*p**2.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1146569344 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(16\/(-15) + 1). Let f be (s\/(-7))\/3 - -1. Let u be (-15)\/(-36) + (-2)\/12. What is the closest to -1\/2 in f, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7325*b**3*w + 42*b**3 - b**2*w + 6*b with respect to w.\nAnswer: 7325*b**3 - b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7687260 from -0.17.\nAnswer: -7687260.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 43.4667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-547.\nAnswer: -9846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 456. Suppose 354 = 2*d - f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/2)\/((-10)\/110*-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 2*4\/(-8). Suppose 1021 = -m*v + 3363. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q = 121*q - 6900. Solve -q = h - 72 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 66930174 and 59980.\nAnswer: 66990154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123233046 - -4?\nAnswer: 123233052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 121815204 a multiple of 2253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**3 + 18*k - 4*k**2 - 18*k)*(-5*k + 4*k - k)*(0 + 1 - 5) as u*k + b*k**2 + s*k**3 + p*k**4 + d and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1782350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1581 and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1675411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12511160 is divided by 241.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 15*z + 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6 and -41\/405?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 2. Let q(y) = -9*y - 7. Let t(z) = 2*q(z) + 7*u(z). Let a(r) = -2*r**2 - 3 + 3. Give a(t(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -5, -16\/9, 1\/8, -1\/4?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3\/2, -0.6, 4, -30?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 7. Let h be 0 + z\/(-4)*2. Let x(k) = 41*k**2 + 1. Does 14 divide x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = z + z. Let o = 36 - z. Let q = -128329 - -128353. Is q < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3704 divide 147722928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 136.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d. Suppose d = -2*f - u + 10, 3*u + 7 = 2*f - 3. Suppose -f*c + 4*s - 6 = 0, 3*c + 4*s - 3*s = 10. Is 4 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*u = 3, -2*m = 2*m + 2*u - 2. Suppose 0 = -4*a + 5*q - 5, q - 1 = m. Let v(n) = 2 - 4 + a*n - n. What is v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/14))*z*z**(-15)*z)\/(z\/(z**(-4)\/z))**(1\/17) assuming z is positive.\nAnswer: z**(-3229\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/2)*s)\/s*s*s**20 assuming s is positive.\nAnswer: s**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z - 1. Let g be j(-2). Let c be (g\/(-2))\/((-1)\/4). Let t(i) = c + 4*i - 1 + 1. What is t(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3562.5999 take away -150440?\nAnswer: 146877.4001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - 7. Let z be 8\/14 + i\/(-7). Find the common denominator of -51\/4 and z*2\/(-8)*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-2\/3)\/y)*y)\/y)\/(y**(-14)*y))\/(y**4)**(-2\/13) assuming y is positive.\nAnswer: y**(635\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 56 - 39. Suppose -2*t = 3*t - y. Let p(c) = c**2 + 2*c - 15. Let l be p(-16). Calculate the highest common divisor of t and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*b - 4*a, 3*b - b - 3*a = 4. Suppose -3*c + 0 = 9. Put c, b, 3 in ascending order.\nAnswer: c, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42164 and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.39 + -14.39. Which is the nearest to -0.12? (a) v (b) 0.2 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21240)\/(-1475))\/(54\/(-120))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = -8*r + 231 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + 5 + (-1 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0*y**3 - 384*y**2 + 340*y**2)*(2 - 2*y - 2).\nAnswer: 4*y**4 + 88*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 3. Let a be n(-2). Suppose -a*g = -7*g + 3800000. Round g to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 687*l - 72 = 678*l. Solve 8 = h + l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1599939 by -145449.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45473?\nAnswer: 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -87\/54997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/11)*(k*k*k**(-5))\/k*(k**(10\/13)\/k)\/k**(-22\/3) assuming k is positive.\nAnswer: k**(1136\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*i + 5*r - 62, 2*i - 34 = r. Suppose -3*k = 4*n - 65, -3*k = -k - 5*n - 74. What is the highest common divisor of i and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 + 2*x**2 - 5*x**3 + x + 0*x. Suppose 0 = 4*l - 2 + 6. Let g be y(l). Sort 3, -5, g.\nAnswer: -5, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -9. Suppose 8*t - p = -4. Solve 3*d + 7 - t = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1346910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3049451, -3049456, -3049463, -3049472, -3049483, -3049496, -3049511?\n\"Answer: -m**2 - 2*m - 3049448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {r: 2, m: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 1.8. Let x be (8 - 2 - 1) + -2. Which is the closest to q? (a) -2\/17 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*414.8.\nAnswer: 414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 45, 132, 307, 600?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 3*g + 1 + 0*g + 2*g + g**3. Determine z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53773 (b) -9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m + 2*o, 4*m + 3 = -4*o + 39. Let n(b) = 2*b**2 + 8*b + 1. Let p(r) = -2*r**2 - 7*r - 1. What is m*n(y) + 6*p(y)?\nAnswer: -2*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36933011 is divided by 189400?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*k = -20, 2*y = 5*k + 266 - 274. Let x = 49 - 28. Let f be (20\/(-35))\/((24\/x)\/y). Solve 0*j = -j - f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1391 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, o: 2, q: 1, g: 1, m: 2, d: 4}. Give prob of sequence demo.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000845 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 14*p**2 + 2651*p + 15624. Give q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-4)\/112*-2). Let u = r + -10. Suppose -5 = -g - u. What is the remainder when 2 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 3*b + 873. Let u = b + -110. Suppose -3*y - 19 + u = 0. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.058 - -2.058. Is c at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-5)*(-2)\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**8\/84 + p**6\/24 - 3*p**4\/2 + 5*p**2 - p. What is the second derivative of i(a) wrt a?\nAnswer: -80*a**3 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 - 29)*(-230)\/40 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -11. Let k = -7 - x. Let h = -48 + 48.11. Which is the second smallest value? (a) -0.4 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 p when three letters picked without replacement from tztztpbzttttzztzpbt.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + -0.78. Let b = a - -1. Put 1\/6, 0.2, b in ascending order.\nAnswer: 1\/6, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56845, 113718, 170591, 227464, 284337?\n\"Answer: 56873*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2573215.52 to the nearest 1000.\nAnswer: 2573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20 + -1 - ((-35 - -34) + -4 + 2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 6. Let y be f(4). Let d be 3 + (y - 68\/20). Let g = 26\/15 + d. Which is the third biggest value? (a) g (b) 1\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 84*n + 80*n - 1 = 0, 4*n + 35 = 3*y. Let m(r) = -r**2 + 19*r - 9. What is m(y)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/45)\/(-12)*20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -58\/61707?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(143)\/(sqrt(11) - (-1*sqrt(99))\/sqrt(9)))**2.\nAnswer: -3*sqrt(13) + 49\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = i - 54, 0 = 3*i + 2*d - 112. Solve 2*h = 19*h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -438850, -2\/5, -0.041?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -67?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78c5 + -663?\nAnswer: 7262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183.171 + -180. What is o rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6. Let y = 1.4 - j. Suppose p + 1 = 2*p, p + 8 = 3*g. What is the closest to 0 in -0.3, g, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 + -152. Suppose 54 = 5*b - n. Let c be 2\/(b\/(-10) - -4). Solve 0 = 3*t + c*x + 26, -x = -5*t + 4*x + 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -s + 5, -3*d - 7*s + 3*s = -20. Suppose 4*n + d + 4 = 0. Let r = n + 5. Solve r*g - 7 = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = k + 1, -4*p - 14 = -4*k - k. Let d be 1113\/(-9) - k\/(-3). Let q = 211 + d. Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k - 88 = -7*a + 5*a - 3*k, -72*a + 20*k - 17*k = -24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 9\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 76. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -5 (c) 517617\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -185*b + 146*b - 8775 + 20631. Calculate the highest common divisor of b and 1102.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -4*l + y, 3*y = 2*y + 2. Let n = -179 + 262. What is the remainder when n is divided by l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433109563 less than -127.1519?\nAnswer: 433109435.8481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 22 = 4*b + 17*a, 3*b + 565*a - 282*a + 22 = 288*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**2 - 4 - 2*q**3 + 10 - 113*q**4 + 0*q**3 + 115*q**4 as p + r*q**3 + y*q + t*q**4 + f*q**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 100. Let a = l - 12. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11992649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-9 + -13 - -23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -206409.\nAnswer: -206409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 5*c**2 - 6*c - 2. What is l(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -154\/17.\nAnswer: -154\/17, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 156 = 5*c - 4*p, 2*c + 4*p = -78. Let k = c + 42. Suppose k*z - 3 = 24. Solve 5*f = 8*f + z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {q: 3, z: 5, i: 1, p: 4, r: 1}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-2*sqrt(11)*1)*3.\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -4, -24, 2\/7, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-405)\/(-10))*24\/52?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**2)**(-14) assuming c is positive.\nAnswer: c**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -385527283466.2 plus -0.06?\nAnswer: -385527283466.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 412995476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*t + 3*o - 236, 2*t - 234 = -4*o. Suppose z + 148 = 391. Suppose 4*u - t = z. What are the prime factors of u?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32377, -32380, -32393, -32422, -32473?\n\"Answer: -b**3 + b**2 + b - 32378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-14)*(-2 + 3). Let x(c) = 16*c**3 + c**2 - 2*c + 1. What is the remainder when x(i) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -16. Suppose p = -x*p + 108. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1352\/72 - (-4)\/18. Calculate the highest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 7*j**2 - 4*j + 14. Let f be t(-6). Let d = 24 - f. Let g(l) = l + d*l**2 + l - 2*l. Let c(k) = k**2. What is g(c(p))?\nAnswer: 22*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3227311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 105?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104064912*w**3*z**2 - w**3*z - w**3 - 9*w**2*z + 3*w**2 - 444*w*z - 18*w + 2*z**2 wrt z.\nAnswer: -208129824*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:03 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(3)*2 + sqrt(3))*-5 - (5*(sqrt(3) - sqrt(27)))**2) + (-2*sqrt(12) - (-2 + sqrt(75))))*-4 + 2.\nAnswer: 96*sqrt(3) + 1194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255583*o**2*z**2 + o*z**2 - 1054*o*z + 7*z**2 - 2 wrt o?\nAnswer: 511166*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2663 - 0.2363. What is the second biggest value in m, 96, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {l: 18, m: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (0 + 0\/(-4)). Suppose b - y*l = 7 + 9, 0 = -4*l - 8. Solve j = -b + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Suppose 9*p - 6*p - 9 = s. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119920234 to the nearest integer?\nAnswer: 10951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.73? (a) -3 (b) -2 (c) -37.11 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 599\/10987?\nAnswer: 599\/10987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491a9 (base 13) to base 15.\nAnswer: 29c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1\/37 (c) 31 (d) 16 (e) -2 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**24)\/l**(-16)*l**(-7)\/l**(-24))**(-19\/7) assuming l is positive.\nAnswer: l**(-209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**5\/60 + 77*b**4\/24 - 17*b**3\/2 + 6*b**2 + 9. What is the hundreds digit of s(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 7, 3 in decreasing order.\nAnswer: 7, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - q**2 + 2*q**3 + 2*q - 2*q**3 - 2*q + (3*q + 4*q - 5*q)*(0*q + 0*q - 2*q**2) - 2*q**3 + 2*q - 2*q - 9*q**3 - 46 + 46 - 2*q**3 + 2*q + 4*q**3 + 0*q.\nAnswer: -13*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 7*t**2 - t + 3. Let l be w(-7). Solve 7*s - 2*s - 18 = -3*g, l = g + 3*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 363 - 389)*(4 + 1 - 3)*(-2*r**4 - r**4 + 7*r**4).\nAnswer: -3968*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1872*o**3 - o**2 - 5*o - 2 - 1873*o**3 + 1. Suppose 0 = -g + 5*g + g. Let y be z(g). Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00042009099 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 9:10 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-364)\/(-120) - 1) + -2. Let d = 2077\/10 - 208. Let w = d - u. What is the closest to w in -5, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*t + 114350 = 1354*t + 696*t + 24273 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 862\nAnswer: 3\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 16. Let k be v(-11). Let p be (72\/30)\/(1\/k). Let w be (-15)\/p - 60\/(-16). What is the greatest common divisor of w and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-11 + 19 + -10 + (-12 - 2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 1 = -h, 3*h - 4 = 3*y + 11. Is 291 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19469.06 + -19302. What is z rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9433 = -53*t - 2543. What is the remainder when t is divided by 30 - -2 - (-1)\/1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 - -2.92. Let n = -3.5 + s. Let h be (-5)\/(-4) - 15\/(-20). Which is the biggest value? (a) h (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 4:49 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5321393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, z: 4, c: 5}. What is prob of picking 4 z?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2090901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -100.4, -3\/2 in increasing order.\nAnswer: -100.4, -3\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 674004597 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 3\/9*-3. Calculate the greatest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005187707 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5*(sqrt(19) + 1) + (1 + sqrt(19))*-6 + 1 - (2*4*(sqrt(95)\/sqrt(5)*-4 + sqrt(19)))**2).\nAnswer: -10949 - 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/((-18)\/(-243)). Let o be 6 + -6*6\/q. Suppose 2*i**2 + 2*i + i**o + i = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**6\/120 + y**3\/6 + y**2 - 2. Let l(m) be the second derivative of v(m). Find the first derivative of l(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -y + 51. Calculate the least common multiple of (-12093)\/(-203) + (y\/(-14) - -2) and 25.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:59 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 392*t - 101170. Determine c(258).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -15*c**2\/4 - 13779489*c\/4 + 2755899\/2 = 0.\nAnswer: -918633, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfkcccfycff. What is prob of picking 2 c and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times 0.04?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 5*c - 2*c)*(1 - 4 + 5)*(-4*c**2 + 3*c**2 + 2*c**2) + 2*c**3 - 5*c**3 + 4*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + l**2 + 3. Let o(k) = 2*k**2 + 2*k - 6. Give -o(m) - p(m).\nAnswer: -3*m**3 - 3*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141 + 328. Let d(f) = -19*f**3 + f**2 - 1. Let j be d(-1). Let t = 36 - j. Calculate the greatest common factor of a and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -6, -4.\nAnswer: -7, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 10*h + 6. What is the units digit of 14\/(-6) + h - 242\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 346920 and 4290?\nAnswer: 49609560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94991204 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44578 = -m - 3*f + f, -m - 3*f = 44583. Let l be (-2)\/(-7) - m\/28. Suppose 4*v + 2862 = -5*y, 3*y + v = -l - 121. Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((52\/182)\/(9\/(-126)))\/(50\/1).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*a**2 + 414*a**2 + 2 + 423*a**2 - 2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -x - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-17)*m)\/(m**(2\/41)\/m))\/(m\/((m*(m\/(m\/m**(-1)))\/m)\/m)*m)**(-19) assuming m is positive.\nAnswer: m**(2540\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11860*c - 107. Is l(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -356\/7 (c) 3 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**2. Let n(y) = -35051 + 6*y**2 + 35051. Give n(o(m)).\nAnswer: 600*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/14*-3*(-8)\/(-5). Factor 4\/7 - 30\/7*h - 100\/7*h**3 + t*h**4 - 2*h**5 + 80\/7*h**2.\nAnswer: -2*(h - 1)**4*(7*h - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 1111293*p.\nAnswer: -p*(p - 1111293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 16*v + 10. What is the units digit of t(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-8))\/((-15)\/(-5720)). Let n = x + -541. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -50*m**2 - 90*m - 15. Let y(v) = -1 - 1 + 7*v**2 + 3 + 1 + 13*v. Let j(q) = 2*u(q) + 15*y(q). Find the second derivative of j(s) wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/((-4)\/(-640)). What is the remainder when 46 is divided by ((-8)\/10)\/(4\/h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277622420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23918, -48702, -73484, -98264, -123042, -147818, -172592?\nAnswer: -197364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/20 + 17*l**5\/60 - 17*l**3\/6 - 7*l**2. Let a(t) = -2*t**3 - 6*t**2 + 6. Give 17*a(r) + 6*y(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 72998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.04291 litres to millilitres.\nAnswer: 25042.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*c = -3*c + 20, -5*j - 3*c = -30. Let n(h) = -13*h**2. Suppose 13*m = 10*m + 9. Let b(d) = -4*d**2 + m*d**2 - d**2 - d**2. Give j*b(f) - 2*n(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14952 + 15139. Suppose 0*x - 1 = -x. What is the remainder when f is divided by -6*(x + 3)*-2?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 + 70*y**2 + 9*y + 58. Calculate m(11).\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 7*w**2 - 25*w + 4. Let q be x(7). Suppose -p + q - 58 = 0. List the prime factors of p.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:36 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, -3\/5, -4, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 77688.44ng?\nAnswer: 0.00000000007768844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.9 - -10. Let s = 497 + -495. Which is the nearest to s? (a) q (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 5*l - 3. What is the tens digit of d(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -56, -3\/7, 1\/4, -3, -0.4 in descending order.\nAnswer: 1\/4, 0.2, -0.4, -3\/7, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 214 = 4*y, -458 = -3*y - 446. Calculate the least common multiple of 385 and c.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.12887 days in microseconds?\nAnswer: 270334368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30628.64 rounded to the nearest 100?\nAnswer: -30600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-8)\/20*10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*d + 6*d - 1, 6 = 2*d - 2*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 - 23370*k**2\/11 - 93216*k - 1024408.\nAnswer: -2*(k + 22)**2*(k + 11641)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -159, -252, -355, -468, -591, -724?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 + 6)) + 1 + 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:34 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87945\/3549 - 26 - (0 + 1\/(-13))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 159 (c) 391 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*h = -20*h - 148*h - 3419. Let l = 0.1 - 0.1. Which is the nearest to h? (a) 3\/5 (b) 1 (c) l (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, i: 5, g: 2, h: 2}. What is prob of picking 1 o and 1 g?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13027888 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863362182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**32*(u**15*u*u)\/(u**3*u*u) assuming u is positive.\nAnswer: u**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 180276a0?\nAnswer: 18027697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(2\/17)*a\/(a*a**(-1\/7))*a**(-13)*a\/(a*(((a\/(a*a\/(a*a*a**(4\/5))))\/a)\/a)\/a)*a assuming a is positive.\nAnswer: a**(-5816\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6300858 by -1174.\nAnswer: -5367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 5*n - 3*n + 10*n - n**4 - 2 + 3 in the form g*n**4 + t*n**2 + j*n + f*n**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 192\/864 + (-1678)\/180. Let g = f - -283\/30. Factor 16\/3*n + 0 + 3*n**3 - 8*n**2 - g*n**4.\nAnswer: -n*(n - 4)**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38538.36 millilitres to litres.\nAnswer: 38.53836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from {j: 4, b: 2, y: 10}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11906\/7 + 130602\/77. Which is the smallest value? (a) -1\/6 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 591\/10 - 699\/10. Let o = g - -2307\/215. Is 0 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(1300) + 4 - 5*((sqrt(156)\/sqrt(4))\/sqrt(3) + sqrt(208))) + 0.\nAnswer: -45*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**9\/90720 - j**8\/3780 + 7*j**5\/60 + 25*j**2. Let h(k) be the third derivative of b(k). Find z, given that h(z) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 divided by -2?\nAnswer: -187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -6*y + 8, 4*l = y + 47 - 35 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 - 2459\/13. Let f(k) = k**2 + 2*k - 4. Let l be f(-3). Let x = 1 + l. Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*b = -8898, -103*f + 108*f - 4*b = 8922. Calculate the greatest common divisor of 110 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 849228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14, -33, -56, -83, -114?\n\"Answer: -2*a**2 - 13*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 60 = -16*o. Let x = 64 + o. Let l = -45 + x. Which is the closest to -2? (a) -4 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Let w(l) = -2*l + l - 10 + l**2 - 4*l. Let z be w(7). Put p, 3, z in descending order.\nAnswer: p, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -3 - 19. Which is the nearest to -1? (a) m (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1 - 5*l + 11 + 3 + 8*l**2. Let r = 3248 + -3243. Does 13 divide h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 divided by -6?\nAnswer: -817\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.03417796 rounded to 2 decimal places?\nAnswer: 6.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 9318864?\nAnswer: 9318864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (-312 + 296 - (-2 + -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-1*11*-1. Suppose 0*b + z = b. Suppose 2 = i - b. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189\/2 - 95. Are -15 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 7 + -51)\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95775 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -4 - 16 - (5 + 4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2 + 5468*b - 3737378 = 0.\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6544550 is divided by 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*u - u - 12, -3*u + 3 = n. Suppose n*h + 5*a - 191 - 49 = 0, a = 0. Calculate the remainder when h is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u = -13*u - 168 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 168, 198, 264, 378, 552, 798, 1128?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 16*p**2 - 7*p - 14. Let w(q) = 9*q**2 - 3*q - 6. Let r(d) = 3*c(d) - 7*w(d). Let j(x) = -17*x**2. Determine j(r(m)).\nAnswer: -3825*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -1\/6*c**4 + 0 + 0*c + 3*c**2 + 0*c**3. Let q(a) be the second derivative of -a**4\/12 - a. What is u(q(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51\/13 + -1619\/416. Let u be (-4)\/(-6)*3\/6*3. Let n be -5 + u - -1*(2 - 1). Which is the second smallest value? (a) n (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 1:23 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-15))\/(((-56)\/21)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 2218666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 9.8 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011101111111110110 - 11?\nAnswer: -110011101111111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 + 8*r - 8. Let a(i) = -4*i**2 - 5*i + 5. Let g(p) = 5*p**2. Let u(y) = y - 6. Let j be u(7). Let w be g(j). Determine w*f(s) + 8*a(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -32.8 times 0.3\nAnswer: -9.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u**2. Let r(l) = -229930*l**2. Give z(r(h)).\nAnswer: 687281463700*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 29*k**2 + k + 44. What is the units digit of w(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + 2*x**3 + x**3)*(5*x - 3*x - 4*x) - 2*x**4 + x**4 - x**4 + 25 - 5846*x**4 + 10 - 35.\nAnswer: -5850*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 11*v**2 + 13*v + 15. Let g be b(-12). Suppose g*s - 33 + 9 = 0. Let q be (-2)\/2 + s\/2. Solve q*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 429.992 to 0 decimal places.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w - 436 = 0. Suppose b + b = -3*k - 144, -4*k = 3*b + w. Is ((-8)\/12)\/(4\/b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -558 - -557. Let g be (5*(-3)\/6 + 2)*v. What is the closest to 47 in 0, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53*656.9.\nAnswer: 34815.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-112 + -68 + 180)*(-1)\/2*(-2)\/4. Let f be (0\/(-1) + -1)*-4. Solve -4*u + r - 2 = x, 4*u = -f*r - 0*r - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from agmywwyww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-35)\/(-15) + 1\/(-3) and (-14)\/56 + (-1)\/(8\/(-178))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 9*g**2 - 4*g + 8. What is the tens digit of s(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 7*o - 18 = 0. Let z be -5 + (3 - o) - -61. Let q = z + -45. Solve 3*b - q = 6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4)*-2*5. Suppose -3*j = -5*j + 10. Let n = -43 + 63. Solve 0 = -j*d - n + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 14, 4 in increasing order.\nAnswer: -0.07, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3 = u + 8*i, -3*u - 4*i = 9. Let h(c) = -c - 11. Let l(w) = 2*w + 21. Calculate u*l(v) - 5*h(v).\nAnswer: -v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 less than 249095036954?\nAnswer: 249095037277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 15 = -15 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/14 and -22\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*s**3 - 2*b**3*s*v - 1383*b**3 + 3189786*b**2*s**2*v - 26*b**2*v - 2*b*s + 23*s*v wrt s?\nAnswer: -6*b**3*s + 6379572*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0182992741 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/6 - (-2)\/6. Suppose -n - 3*w + 4 = 0, -5*n = 8*w - 3*w - 10. Sort 3, n, r in decreasing order.\nAnswer: r, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (0 - 4)*((-82)\/4 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*g + 3 - 2 - 9 - 6*g**2.\nAnswer: -2*(g - 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/(-230)*56\/168.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4292 (base 11) to base 16.\nAnswer: -1623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c**5 - 1394*c**4 + 10790*c**3 + 4420*c**2 - 6784*c + 1024 = 0 for c.\nAnswer: -1, 2\/11, 1\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * -490\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 396*g + 3103. Let o be d(-8). Put 4, -72, o in decreasing order.\nAnswer: 4, o, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l + 418 - 18. Calculate the least common multiple of 14 and -5 - l*(-2)\/(-4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -570.1049 + 0.1049. Let m = p + 568.982. Let k = -0.072 + m. Round k to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00966363 rounded to 4 decimal places?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 338454742, 338454744, 338454746, 338454748?\n\"Answer: 2*n + 338454740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minus 143.3050197333?\nAnswer: -52.3050197333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 8*u**2 - 2 + 6 - 4*u + 6*u**2. Let a(b) = b**2 - b + 1. Give 4*a(w) - x(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 40. Let s(p) = 101 - 101 + j*p**2. Let a(h) = 5*h**2 - 12*h**2 - 10*h**2. Calculate a(s(w)).\nAnswer: -68*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -31 + 2176\/476\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 6 = -12*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-4))\/((-145)\/232)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 2*y**2 + 8*y - 11. Let t be o(5). Let d be ((-99)\/15)\/(-1) - t\/115. Which is smaller: d or 74\/13?\nAnswer: 74\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-154)\/66 + (1 - 0))*-6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12e - c?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**2 + 2*k**2 + k**3)*(-48*k - 75*k - 6*k) to the form w*k**4 + a*k + j*k**2 + q + b*k**3 and give w.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -5*p + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 7*s**2 + 4*s + 7 - 4*s**2. Suppose u - 5*r + 4*r + 3 = 0, 5*r = 2*u. Is d(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 1\/16, 4\/7, -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 3*f - 25, o - 41 = -163*f + 167*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7224\/3311)\/(10\/(-6)*17\/(340\/(-8))).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.3, 1, 187, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10*g + 5*g = 0, -16 = -4*n - 4*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/5 - 5112*y**3\/5 + 3485666*y**2\/5 - 632890512*y\/5 - 650446767 = 0.\nAnswer: -5, 387, 4343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*f - 1074 = -1218*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:16 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqrziti. What is prob of sequence iz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2 - 2)*(-14 - 1 + 7)*(2 + 0 - 3).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 150*d - 2400. What is h(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -0*x - 21*x. Let s = x + 106. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72.856 - -0.144. Let v = z + -73.00006. What is v rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + 122?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 47 (b) 2\/11 (c) 1686 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d270b (base 14) to base 3.\nAnswer: 2222100222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = -3916. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407*h - 404*h - 12549 = 0. Calculate the greatest common factor of h and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:10 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*y - 26*y - 9*y)*(-3 + 7 + 4).\nAnswer: -464*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 72*q**2 + 144*q + 330. Determine w(-70).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(45) + 4 - (-2*sqrt(180))**2) - (3 + 2*-2*sqrt(500)).\nAnswer: 25*sqrt(5) + 3577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.82 - -17.92. What is the closest to -24 in g, 5, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 u when three letters picked without replacement from susnzszsuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*o + 2*s, -3*o + 0*o = -4*s + 19. Let q = -59 - -69. Suppose q*l + 4 = 11*l. Sort o, l, -3 in increasing order.\nAnswer: o, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - 3*x**2 - 3*x. Let k be (2 - 3)\/(1\/26). Let i(f) = 9*f**3 - 13*f**2 - 13*f. Calculate k*c(g) + 6*i(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.09 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((-6)\/(-4) - 195\/130)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {s: 9, q: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36797, 3, -4, 0 in ascending order.\nAnswer: -36797, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -50\/127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 41. Let c be z(-5). Is 9*-1*8\/c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 0. Let c = -415 + 2906\/7. What is the nearest to 0.1 in c, 4, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -131241967384 and 10.9.\nAnswer: -131241967373.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*(l**(3\/2)\/l)\/l*l)**(-14) assuming l is positive.\nAnswer: l**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 2, -4, 2\/11 in increasing order.\nAnswer: -4, 0.09, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/22)\/((85\/10)\/17) and -46\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/j**(-18))*j\/(j\/(j*j\/j**(-10)*j))*j assuming j is positive.\nAnswer: j**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:02 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 80. Let w be (-120)\/(-70)*(-28)\/16*-54. What is the highest common factor of r and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 15*l + 53. What is the units digit of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 15, -b - 3*s = b - 181. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 - 2685*z**4 - 16149*z**3 + 8057*z**2 + 43068*z - 32292 = 0.\nAnswer: -6, -2, 1, 2691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132 - 3020021?\nAnswer: -3020213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2390 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 1)*(0*c + c - 5*c)*(1 - 1 + 2*c**2) as i + b*c**2 + d*c + q*c**3 and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -5 (c) -1\/10 (d) -92 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -500.4? (a) 0.7 (b) 3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.342 + 1.142. Let c(y) = y**2 + 10*y + 8. Let w be c(-8). Let x be (2\/(-6))\/(w\/(-6)). What is the closest to -1\/3 in x, v, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98358415 - 69627589 = -163*i + 52606623. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -302*v**3 + 8*v**2 - 13*v - 25. What is the thousands digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j + 34 = 5*h, h - 4*j - 2 = 0. Is 8 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 8*k**2 - 11*k - 19. Let i be w(-9). Is 11 a factor of (-4)\/(-1) - (i - 14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(57\/270)\/19.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**3\/3 + t**2\/2 - 7*t. Let b be u(-7). Let d = b + -11. Solve -n - 3*h - 6 + 14 = 0, 2*n = d*h - 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4580132537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 97, 98, 97, 94, 89?\n\"Answer: -u**2 + 4*u + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 - 544. Let o = -278 - j. Solve g - n = -0 + 1, 4*n = g - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*l + 2869, 5*x - 4747 = 4*l - 2*l. What are the prime factors of x?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 7. Let k(w) = -w**2 - 7*w + 1. Let y be k(-5). Let t = y + a. Solve t = 2*h + 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n - 4*n - 3*n - 16*n as y*n + h and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -8*m**3 - 320*m**2 - 2301*m - 77568. Give f(-39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -702*a**2. Let v(i) = -5*i**2. Determine u(v(j)).\nAnswer: -17550*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.398071 kilograms in tonnes?\nAnswer: 0.001398071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, 7, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52867, -211469, -475803, -845869, -1321667?\n\"Answer: -52866*t**2 - 4*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 16 = -5*k - 2*h, -3*h + 26 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 4 + (-1 + sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931))**2.\nAnswer: 210*sqrt(19) + 23284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (sqrt(800)*2)**2 + 3 + 0 + sqrt(72)*2 + sqrt(72)).\nAnswer: 72*sqrt(2) + 12824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5081 + -5256?\nAnswer: -11347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41913914 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*8)\/(7 - 5). Suppose -r*u + 8*u = 0. Let w be 4\/(-3) - ((-54)\/(-117) - 192\/78). Sort u, w, -2\/3, 2\/7 in increasing order.\nAnswer: -2\/3, u, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1676*b. Let a(o) = 24*o + 1265. Calculate d(a(m)).\nAnswer: 40224*m + 2120140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*j*o**4 + 3770*j + 339484*o**4 - 1443 wrt o?\nAnswer: 152*j*o**3 + 1357936*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 14. Let x(s) = 7*s. Let h be x(0). Suppose 0 = -j + 3*v + u, h = j - 2*j + 5*v + 21. Let w(k) = 2*k - 3. Determine w(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u = 16*u - 104544. Is 44 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from uuuuouooououu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/3 + 17. Let b(y) = -y**3 - 24*y**2 + 23*y - 50. Let a be b(-25). Let z(w) = -39 + w + 34 + a*w. Give h(z(i)).\nAnswer: -i**2 + 10*i - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, 2, -5, -3.\nAnswer: -5, -4, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5\/3)*x**7)\/(x**(1\/3))**21 assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbvs when four letters picked without replacement from {v: 1, s: 4, b: 1, l: 1, o: 4}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 393.69 - 399. Let a = -5.4 - f. Let c = -0.09 - a. Which is smaller: 8\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.08318667 rounded to three dps?\nAnswer: -3.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46426156*i**4 + 1160375*i**2 wrt i?\nAnswer: -1114227744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -176 - -2286\/13. Is 1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 2*a**2 + 2*a**3 + 6*a**3 - 8*a**3 + a**3 - 11 to the form x*a**3 + z*a + b*a**2 + g and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - p - 5 + 2*p + 2*p. Suppose 16*u = 15*u - 3. Let a be (27\/(-15) - u)\/(21\/70). What is d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 34*r + 4 - 10*r - r**2 + 3 - 11*r + 0*r**2. Let h be (1\/2)\/(1\/26). Let o be u(h). Let v(w) = w - 3. Give v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378 + 404. Let h = s + -9. Calculate the greatest common factor of h and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*t**3 + 27*t - 3.\nAnswer: -852*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -901*g**5 + 85*g**6 + 442*g**5 - 25 + 80 - 246*g**6 + 453*g**5 + 2*g**2 wrt g?\nAnswer: -19320*g**3 - 360*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**4 - 15*r**3 - 3*r**2 + 17*r - 3. Let d(z) = -15*z**4 + 105*z**3 + 20*z**2 - 120*z + 20. Let p(x) = 3*d(x) + 20*u(x). Factor p(g).\nAnswer: -5*g*(g - 2)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7800*i**2 - 7783*i**2 - 2*i**3 + 23386*i**2 - 7799*i**2 - 2*i + 2*i.\nAnswer: -2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y + y + 5*s - 29 = 0, 400*y + 23*s = 402*y + 119 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 + 110*u - 18*u - 23*u - 28*u - 15*u**2 - 41*u.\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 30*n**2 + 87*n. What is j(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**2 - 1\/120*n**6 - n + 0*n**3 + 0 - 1\/180*n**5 + 0*n**4. Let x(w) be the first derivative of y(w). Factor x(q).\nAnswer: -q**2*(3*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (3 + -21)) + -4 + 6 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let f(y) = 300*y - 1. Give f(i) + 5*j(i).\nAnswer: 295*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18658500 divided by 177700?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 16763 + 2644 = 0. List the prime factors of t.\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 2. Let v be t(3). Suppose -v*i = -8*i - 60. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 210?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-14))\/(3\/(-21)). Let y(k) = 5 - 7 + 3*k - 620*k**2 + 2064*k**z. Let q be y(6). What is q rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 9\/(-15))*35\/28. Solve -5*v - 5*u + 2*u = -13, h*u + 3 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1534089 and 606?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-64)\/(-12))\/(3\/(-9)). Is (2\/5)\/(w\/(-92360)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1120438, -2240869, -3361286, -4481683, -5602054, -6722393, -7842694, -8962951?\n\"Answer: a**3 + a**2 - 1120441*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 125, 185, 245?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 21*u - 5*x - 32453 = 0, -2*u + 16246 = 4*x. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let r = -21.6 - -22. Which is the closest to -1? (a) r (b) -3\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6\/(-60)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7*y. Let o(s) be the second derivative of -1\/2*s**2 + 0 + 5*s - 1\/20*s**5 + y*s**4 + 1\/3*s**3. Calculate o(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 154*a**2 + 2*a - 1. Let d be f(1). Let n(k) = -k**3 + 12*k**2 - 14*k - 6. Let s be n(11). Let g = s + d. Round g to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3609*d**2 - 906 - 2117 - 1705 wrt d?\nAnswer: 7218*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -6*(0 + -1) + (21 + -20 - -2) and 259.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**3 - 16*a**3 + 34*a**2 + 35*a**2 + 39*a**3 - 69*a**2.\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5343662 (base 7) in base 2?\nAnswer: -10011110100110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6885 and 84660.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -394, -892, -1592?\n\"Answer: -101*m**2 + 7*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 120739 times -557\nAnswer: -67251623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/9*d - 11\/9*d**3 + 0 - 1\/9*d**2 + 1\/9*d**4.\nAnswer: d*(d - 11)*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, l: 5, s: 3}. Give prob of picking 1 m and 2 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*u**2 - 146*u + 146*u + (-3*u + 18 - 18)*(1 - 3 + u - 5*u).\nAnswer: 94*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-8))\/(-525*120\/(-2448000)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in milliseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48a - -5?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1142*j**3 + 1 + j - 3 + j**4 - 570*j**3 - 568*j**3 + 2*j**4 to v*j**3 + g + d*j**2 + s*j**4 + z*j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - ((sqrt(1539) - (sqrt(1539) + 1*sqrt(1539))) + sqrt(1539)))**2 + -1 + 3.\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -23990 and -1.12?\nAnswer: 23988.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - u**2 + 1. Let b(y) = -8*y**3 - 6*y**2 + 51*y + 6. Give -b(p) + 6*w(p).\nAnswer: 2*p**3 - 51*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t**5 + 813*t**4 + 8553*t**3 - 24753*t**2 - 46512*t + 61884 = 0.\nAnswer: -191\/5, -18, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 647738*x + 3026598 wrt x?\nAnswer: 647738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45, 166, 369, 654, 1021, 1470, 2001?\n\"Answer: 41*i**2 - 2*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by (-5)\/((-20)\/(-56)*-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/15 + 17944*i**2\/5 + 43072*i\/3.\nAnswer: -2*i*(i - 26920)*(i + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*p - 22 + 45 - 23 + p**2.\nAnswer: p**2 - 42*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -13*q**3\/3 - 13*q**2 - 8*q. What is the derivative of d(v) wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 3*f - 74)*((-1 + 4 - 5)*(-5*f + 3*f + 3*f) + 2*f - 3*f + 2*f + 0*f + f - 2*f + (3*f - 4*f - 4*f)*(-3 + 4 - 2)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18251 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 28. Let r be z(19). Differentiate 10 + 5*c - 3*c - 5*c + r*c with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, 0.7 in decreasing order.\nAnswer: 0.7, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(70))\/sqrt(10) - (sqrt(700)*-6)**2*-3.\nAnswer: 25*sqrt(7) + 75600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8734 - 4732. What is the greatest common divisor of d and 348?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 31. Let d = z + -48.00067. Round d to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11. Suppose u + c*l = -l + 9, -5*u + 30 = 2*l. Sort -5, 0, -4, u in decreasing order.\nAnswer: u, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 t when three letters picked without replacement from yetdttdydllyytdytl?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -0.7. Let u = g + -0.8. Which is the third biggest value? (a) -2\/11 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 4. Let n be c(8). Suppose -n*t - 12 = -3*r + 8, 4*r - t = 18. Calculate the greatest common factor of 68 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {r: 2, p: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 4 + 2 + 2*x - 6.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148633 is divided by 11895?\nAnswer: 5893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v + 276 = 4*y, y + 5*v - 39 = 0. Let g = y + -37. Calculate the common denominator of -1\/3 and -11*(-12)\/g - -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(((-7360)\/(-220) - 34) + -289*(-6)\/33).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 757 divide 951549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (5 - -2) - -7) + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 66.6. Let i = q + -5.6004. Round i to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -224, -3, -1 in ascending order.\nAnswer: -224, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 2*g)*(-2 + 0 + 0) + g - 2 + 2 + (4 + 0 - 5)*(-4 + 8 + 0)*(147 - 105*g - 147).\nAnswer: 419*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*o - o - 12*o**2 + 15*o**2 + o**3 + 0*o**3 to the form d*o**3 + y + a*o**2 + i*o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 30*w**2 - 4*w - 6. Let q(s) = 31*s**2 - 5*s - 8. Calculate 4*h(j) - 3*q(j).\nAnswer: 27*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263*p - 1463 - 1167 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*g + 1, 409*n - 3*g + 32 = 413*n. Put n, -21, -2, 2 in increasing order.\nAnswer: -21, -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 425 + 7 + -3. Suppose -9*q + n = 90. Let f = -19 + 32. What is the remainder when q is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*h + 45*h + 52*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/2, -52145, -3, -60, 1\/4?\nAnswer: -52145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1922274*b**2. Let p(h) = 25*h. Determine d(p(f)).\nAnswer: -1201421250*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -46363*y + 46360*y - 4 + 2. Let w(i) be the first derivative of 5 - 1 - 2*i**2 - 3*i - 6. Calculate 8*o(a) - 5*w(a).\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 - 156059850*g - 1217733839101125 = 0?\nAnswer: -15605985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j**2 - 10*j**2 - 24*j**2)*(-97*j**2 + 82*j**2 - 2*j + j).\nAnswer: 255*j**4 + 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11626 - -53?\nAnswer: -11593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -187.1 - -178. Let n = -9 - 0. Let x = n - o. Which is smaller: x or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f*f\/(f**(3\/5)\/f))\/f)\/f)\/(f\/(f\/f**(-1\/4))*f)*(f**(2\/17)\/f)\/(f\/f**3))**(-50) assuming f is positive.\nAnswer: f**(-3005\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2*z**3 + 0*z**3)*(-3*z**2 + 3*z**2 - z + 2*z**2).\nAnswer: 6*z**5 - 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 101789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1192*r**4 - 33*r**3 - 452*r**2 + 14618601 wrt r.\nAnswer: -4768*r**3 - 99*r**2 - 904*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 0 + 3 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110557 - -23880271\/216. Find the common denominator of t and 4\/3.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-2 - (-4 - -2 - 10))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*c = 137*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, 36, -1\/10, 3, -116?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (87\/(-18) + 5)\/(5\/(-15))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**2 - 611*f - 773. Determine k(-86).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 518 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17177 + 10930. List the prime factors of p.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.3, -17, 0.06, 5\/6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z - 5*z - 1 - z + 1 + (1 + 0 - 2)*(3*z - 3*z + z) + 5*z - 4*z - 3*z)*(2688 - 2688 + 57*z).\nAnswer: -342*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90956\/7 - 12994. What is the second smallest value in -0.4, 68, -2\/3, 4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v + 5*q, 5*v = v + 4*q - 4. Let p be (-4)\/24*v*-2. Is 18 a factor of 0 - (-16 + -1 + p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -85037.\nAnswer: 425185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 7*o - 5. Let p be n(5). Is 13 a factor of 195\/(-6)*(-6)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/16)\/((-65)\/(-208)) - 13\/20. Let j = 73 + -78. What is the closest to -1\/3 in -4, -2, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(48)\/sqrt(4) + sqrt(12))*5 - ((sqrt(7) + sqrt(7) + -2 + sqrt(7) + sqrt(7) + 0)*6)**2.\nAnswer: -4176 + 1157*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1658 divide 56497218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 10*c**2 + 6*c + 18. Is y(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 63*d**2 - 4*d + 53 - 49 + 2*d.\nAnswer: -52*d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**3\/3 - n + 2. Let y(k) be the first derivative of g(k). Let l(q) be the second derivative of q**3\/3 - 12*q. Give l(y(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**6\/4 - 21*s**5\/10 + 57*s**4\/4 - 31*s**3 + 129*s**2\/4 - 33*s\/2 - 1839. Factor a(m).\nAnswer: -3*(m - 1)**4*(m + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9697016 <= -9697016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7035\/181 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201113 + -31222131?\nAnswer: -32023310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6136236*b**3*v**2 - 2*b**3*v + 2*b**2*v**3 + 2078*b**2 + 124*b*v wrt v.\nAnswer: -12272472*b**3 + 12*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + h**2 - 2*h**2 + 3*h**2 in the form p*h**2 + c + i*h and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 70.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -207+-511.14\nAnswer: -718.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/21 - 2\/105. Put 6, 2, v in ascending order.\nAnswer: v, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38 + -22 - (0 - 0). Let g be (s\/20)\/(2\/10). Solve g*w = 6*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*x + 65, 2*p - 2*x - 4 = 6. Let g be (2 - p\/4)\/(210\/(-60)). Which is the third biggest value? (a) g (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 greater than or equal to -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**2 - 20*p - 24 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*o + 53 = 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 16*c + 12*c - 15, 12 = -4*w - 4*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1252*x - 18751. Give b(-15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + 128*o**2 + 64*o - 908. Let s be n(43). What is the second smallest value in -4, s, 67\/3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 55. Let x = 2115 - 2048. Let r = x - z. Calculate the remainder when 53 is divided by r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 3 + 75\/(-3). Let y be (x + 9)*4\/(-10). Let j(c) = -3 + y - 1 - 1 - 5*c. Give j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i + 73 = 42 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*8\/24 - (1 - -1). Let q be ((d - 1)*5)\/((-11)\/55). What is the greatest common divisor of 275 and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = m - 0*m - k, m - 23 = 5*k. What is the common denominator of 77\/(-15) + (-2)\/(-6) and (m\/10)\/1 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 - 16*y + 4. Let b(t) = -5*t + 0 + 174*t**2 - 82*t**2 - 93*t**2 + 1. Determine -7*b(x) + 2*q(x).\nAnswer: x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, c: 2}. Give prob of picking 3 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/97)*m**(-1\/4))**20 assuming m is positive.\nAnswer: m**(-525\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z + 7. Let u(m) = -m**2 - 3*m + 6. Let c(k) = 4*h(k) - 5*u(k). Calculate c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**3 + a + 1. Let p be (-6)\/1 + 2 + 0. Let c(t) be the first derivative of -t**4\/4 - 4*t**3\/3 - t**2\/2 - 5*t - 2. Let d be c(p). Determine s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from pkxxxrpcrpkqppccprrr.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5278 + 2629 - n**2 + 2649. Let f = -2 - -2. Let u(m) = 2*m**2 + 4*m**2 + f*m**2. Give q(u(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 22*f**2 - 23*f - 41. Let w be u(-21). What is the biggest value in w, 31.2, -2\/7?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(95) + (sqrt(95) - 4*sqrt(95)*2))\/(-6*(-1*sqrt(405) + sqrt(405)) + sqrt(405)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, 4 in increasing order.\nAnswer: -12, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17 (b) 5 (c) -3\/2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*b + 139, -3*m - 2*m + 169 = -4*b. Let d = 36 + b. Let s = 1 - d. Solve -2*t + 5*n - s - 6 = 0, -3*n = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166954068 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1691\/88 + -210\/11. Let g be (-1)\/(-1 + 2)*-5. Sort -1, g, p in descending order.\nAnswer: g, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466 divided by -1.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39624 is divided by 19798.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133\/360 - -3\/40. Let h = 255 - 255.2. Sort 0.1, -1\/2, a, h in descending order.\nAnswer: a, 0.1, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 47 + 47 + 4*t + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 + 3. Let o = -23 - -27. Which is the biggest value? (a) h (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((352\/(-24))\/11)\/(3\/3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 8*d**2 - 11*d + 7. Let f be s(-9). Suppose 3*w + b = -2*w + 47, 3*w = b + f. Does 6 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 + 123*v**4 + 1371*v**3 + 2385*v**2 + 1134*v = 0. What is v?\nAnswer: -21, -18, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30290584?\nAnswer: 2, 373, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1920\/(-7))\/((-2)\/17500). Round x to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182164218671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/120 - n**5\/10 - 3*n**2. What is the third derivative of x(u) wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3) - (-220)\/(-42)) + 5. Is -7\/5 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4425194825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1604675 or 1604677?\nAnswer: 1604677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 159, 346, 597, 906?\nAnswer: 1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -39*p - 16. Give w(-9).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let l(c) = -15*c**2 + 21*c**2 - 13*c**2. What is l(a(r))?\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24329575 a multiple of 1934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 - 201*k**2 + 51522*k + 103824 = 0. Calculate k.\nAnswer: -168, -2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26890, 1.\nAnswer: 0, 1, 26890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 611 + -346. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b - 5*f = -28, -3*b + 16 = 5*f. Solve 0 = 10*u - b*u, -2*c - 4*u + 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1723*s**4 - s + 1066?\nAnswer: -6892*s**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (19245\/(-2))\/3*(-24)\/20 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u - 4. Let a(t) = 2*t**2 - 10*t - 6. Suppose -5*x = -40 + 10. Let f be a(x). Calculate o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-1)\/(-8)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07262421 rounded to 3 dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -57 (c) 4 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793.\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f. Let i(m) be the first derivative of -47*m**2\/2 - m - 4. Let x(n) = 3*i(n) - 8*u(n). Is x(-2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 + -246. Solve 9 = -0*t + 4*t - s, -t - 4*s = k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/(104\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 387849*u - 2714952. What is s(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104399?\nAnswer: 104399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 44*i + 217. Calculate r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*t - 146, 2*t + 2*t - 140 = -4*c. What is the remainder when c is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*n - 2*n. Suppose 4*p - n = 40. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -6. Let v(w) = 4*w - 1. Let y be v(-4). Let k be (-9)\/(-15) - y\/5. Sort k, p, -3 in increasing order.\nAnswer: -3, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0909 + -1096431\nAnswer: -1096429.9091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.059 times -4\nAnswer: 0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29396 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 443*j**4 + 36913*j**2*z**2 + 7061*z**2 - 269*z - 1 wrt j.\nAnswer: 1772*j**3 + 73826*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 135.62, 2655, -7?\nAnswer: 135.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -1\/60*k**5 - 1\/6*k**3 - k**2 + 3 - 1\/3*k**4 + 0*k. Let j(r) be the second derivative of w(r). Determine j(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 392*n**2 + 1 + 2*n - 3 - 3*n.\nAnswer: 392*n**2 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -24.31162851?\nAnswer: -26.31162851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*w**4 - 8952553*k*w**3 - 564*k*w - 8925*w wrt w.\nAnswer: -36*k*w**2 - 53715318*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -768*i + 2311. Let u be m(3). Solve 5*a = -10, -8*b - 5 = -u*b + 5*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*o = -0*s + 8, -5*s + 12 = -o. Let g(d) = 3*d**3 - 6*d**2 + 7*d - 1. Let t be g(s). Let l(m) = -m + 12. Calculate l(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t + 6*t + 383100 - 383099.\nAnswer: 21*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) + 0)**2 - 6*sqrt(76)) + (5 + (sqrt(304))**2 - (sqrt(19) + sqrt(76)\/sqrt(4)*-3)).\nAnswer: -10*sqrt(19) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 572, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/9, 20673, 12, 4 in descending order.\nAnswer: 20673, 12, 4, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*l + 1, -l - 3*l = -h + 16. Let w be 2824\/32 + 1\/h. Let j be (1 - 4)\/(6\/(-22)). What is the greatest common divisor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 5*m - 28, 5*v - 2 = -2*m + 4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*-4*(sqrt(5) - -5*sqrt(5)))**2.\nAnswer: 25917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -807*q**2 + 813*q - 12. Give d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-15)\/(-10) + 18\/4. Solve 0 = -3*c + 2*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -6*l**3 - 33*l**2 - 51*l - 18 = 0.\nAnswer: -3, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -372, -369, -362?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28388455729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrp when three letters picked without replacement from pmrrrerppipippm?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0*s + 0*s - 17*s**2 + 0*s + 3. Let h(k) = k**2. What is n(h(w))?\nAnswer: -17*w**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124849408 divided by -8.\nAnswer: 15606176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 7. Let f(v) = -v**3 + 5*v**2 + 4*v + 8. Let o be f(6). Let k(y) be the second derivative of -y**3\/6 - 4*y**2 - 801*y. Determine o*k(p) + 5*z(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 320256691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5 + 165*u**3 - 140*u**2 - 300*u = 0.\nAnswer: -6, -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -k + 5. Let w(p) = p**2 - p - 1. Let h(l) = 7*l**2 + 2*l + 5. Let u(c) = h(c) + 4*w(c). What is the tens digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6731341073 from 0.2.\nAnswer: -6731341072.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-2911 - (-1 - 6))*4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/6)\/(-1))\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 1. Let s be g(5). Let p(o) = o**3 + 5*o**2 - 6*o + 7. Suppose -b + 40 = b. What is the remainder when b is divided by p(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -19, -39, -77, -139, -231?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*l + 0 - 2*l + (-3 + 4 + 0)*(3 + 2*l - 3).\nAnswer: 4*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 4 = 35. Let z = 0.4 - -0.1. Let n = 22 - 87\/4. Sort a, n, z.\nAnswer: a, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwiwwii. Give prob of sequence iwi.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 6*d - 6*d)*(-23 + 5*d + 23) - 3 + 3 + 2*d + 2*d**2.\nAnswer: -33*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2177 = 2*y, -2*y - 6531 = -3*m - 5*y. Let t = -1297 + m. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -2)\/(0 - (-2)\/(-982)).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 11) + 8 + 48 + -52?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let d(w) = 40*w**2 - 4*w - 2 + 2*w - 38*w**2 - w. Let u be d(-1). Let j(o) = -48 + 48 - u*o. Determine a(j(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -4. Calculate the common denominator of 159*2\/(264\/4) and 3\/9*s\/(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*u - 14 + 10, 5*t + 5*u - 40 = 0. Suppose -t = -0*s - 4*s + b, 0 = 2*s - 2*b. Sort s, -4, 0.8, 0.3 in descending order.\nAnswer: s, 0.8, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/174957425 and 41\/384906335.\nAnswer: 1924531675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1432992, 1433058, 1433126, 1433196, 1433268, 1433342, 1433418?\nAnswer: 1433496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 768317746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33*(-2)\/(-6) + 1. Suppose 5*r + z - p = 20, 4*r - 22 = z. What are the prime factors of (-234)\/(-14) + r\/21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38293610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 5*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3402) - (-2*(2*sqrt(3402) + sqrt(3402)) - sqrt(3402)))\/(sqrt(384) - (-5*sqrt(384)*1 + sqrt(384) + sqrt(384))).\nAnswer: 3 + 9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16304, 32608, 48912, 65216?\n\"Answer: 16304*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/8 + 164*g**2. Let x(s) be the third derivative of 7*s**5\/60 + s**2. Give h(x(a)).\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g + 3. Let a(r) = 3*r + 1. Let u(d) = 5*a(d) - 2*w(d). Determine u(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -1 (c) -4.137 (d) 0.02 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (-1*sqrt(245))**2 + 5).\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.8852km to millimeters.\nAnswer: 218885200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:14 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6176 - -5105. Let y be 12\/2*(2 - -312). Let r = x + y. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4295*o - 76381. What is n(18)?\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 450968942*d*s + 4479*s + 34425 with respect to d.\nAnswer: 450968942*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 9*a + 15. Let h(q) = -q**2 - 5*q + 8. Let p(n) = 7*h(n) - 4*w(n). Is p(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**4\/7 + 15790*g**3\/7 - 2809799*g**2\/7 - 15790*g\/7 + 401400 = 0.\nAnswer: -1, 1, 180, 15610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -356.8 + 357. Let j be ((-8)\/(-15))\/((-1)\/(-10)). Let t = 17\/3 - j. Which is the closest to 2\/9? (a) v (b) -1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (12 + -6) - -4 - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 340758171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 22 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p = 44*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/((-3483)\/3645) + -19.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.4 (c) -960.6 (d) -2\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 4\/7, 830, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101396 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -845, -847, -851, -857?\n\"Answer: -y**2 + y - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177101*z**2 - 354114 wrt z.\nAnswer: -354202*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18006 + -17636. What is the remainder when m is divided by 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-18)*r\/(r\/((r*r**(-5\/6)*r)\/r)) assuming r is positive.\nAnswer: r**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/5 of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 + 8*i**2 - 9*i - 38. Let m be y(-3). Let r(g) = -g**3 + 6*g**2 + 10*g - 12. What is r(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 8*d**2 + 11*d - 11. Let b be n(9). Let t = b - 8. Let y(m) = -9*m**3 + m**2 + m. What is y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -5 (c) 0.2 (d) 0.08 (e) -0.5 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/5 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12523456, -12523450, -12523444, -12523438, -12523432?\n\"Answer: 6*d - 12523462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 2*q + 3. Let b be k(-3). Suppose 4*o = -i + 11, 5*i = o + 8*i. Sort -4, b, 2, o.\nAnswer: -4, b, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -9*y + 14*y. Let f(x) = -x**3 + 15*x**2 - 12*x - 20. Let d be (-1)\/(-2)*2*14. What is the remainder when y is divided by f(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962062 is divided by 31029?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 + -195. Suppose 5*y + 15 = m, -6097 = -5*q - y + 1820. What are the prime factors of q?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4185 and 26\/33.\nAnswer: 46035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1694 (b) 1792 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18875748 and 10.\nAnswer: 94378740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 221312202 (base 4) in base 8?\nAnswer: 516642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*m - 6*z - 27, 2*z = -6. Let c(l) = -l**3 - 2*l**2 + 3*l - 5. What is the units digit of c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -27. Let l = 4 - 4. Put 4, k, l in increasing order.\nAnswer: l, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.08 + 0.08. Let x = o + 4.2. Let y = 0.2 - x. What is the closest to y in 2\/15, -0.2, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -315510 (base 6) to base 5.\nAnswer: -1312030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*q + 2*m, -q = -0*m + 5*m - 9. Suppose 0 = 8*c - q*c - 6. Let a(o) = o + 13. Calculate a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 134, 283, 432?\n\"Answer: 149*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16243?\nAnswer: 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + c - 1. Let k = -132 - -126. Let y(q) = q**2 - 2*q + 2. Let p(m) = k*u(m) - 3*y(m). Let w(o) = o. What is w(p(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/549 and 65\/30518422.\nAnswer: 274665798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p**2 - 7*p**2 + 3*p**2 + 4*p**2 to f + q*p**2 + s*p and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29\/4758 + -130249\/487695. Find the common denominator of c and 61\/8.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 341668 + -2404768\/7. Let f = m + 1875. Find the common denominator of f and 2\/125.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4*13)\/((-24)\/36). Let g = k + 126. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -28*a**3 - 3*a + 2. Let n be g(1). Let z = -24 - n. Suppose 18 = 2*o + z*b, -3*o - 3*b + 34 - 7 = 0. Solve j + d - 4 = -3, -o = -j + d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25903505.5 rounded to the nearest 100000?\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 43 - 121. What is the remainder when y is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k**2)*(k - k**2 - k)*(-2 + 2 - k + (-1 + 1 + 2*k)*(4 + 0 - 2) + 1 + k - 1 + 0*k - 2*k + k).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -5, -82, -207?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-3*sqrt(99) + -5 - sqrt(99)) + -3 + -2)*4)**2.\nAnswer: 1920*sqrt(11) + 25744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 + 1289*r**3 + 86869*r**2 - 374441*r - 460020 = 0. What is r?\nAnswer: -68, -1, 5, 1353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 + 1 - ((-8)\/(-1) - 2)). Let i = 4 + -2. Let y = i - 1. Solve 0 = -v - l - y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10\/45633 - 2639815\/1734054. Let q = 9\/38 + h. Let m = -6 + 5. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 10800.831 months?\nAnswer: 90.006925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3530*l - 245 = -3537*l. Let h(n) = -n**2 - 4*n - 3. Let w be h(-2). Let p be (w - -1) + 276 + 2. What is the greatest common factor of p and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/42 and (494\/665)\/((-6)\/10).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 3. Let k be z(6). Let f be 9 - 22 - -11 - (9 - 1). Let b(g) = 26*g + 265. Let w be b(f). Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2251044 (base 7) to base 15.\nAnswer: -5852c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:47 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25886, -25890, -25894, -25898, -25902, -25906?\nAnswer: -25910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2678*i. Let b(o) = -79096*o. Calculate x(b(l)).\nAnswer: -211819088*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3858973?\nAnswer: 31, 281, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -299*c**2 + 1270*c**4 + 229*c**3 + 44*c**3 + 788*c**2 - 1270*c**4 + c**6 wrt c.\nAnswer: 120*c**3 + 1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*f = 86, w = f - 3*f + 44. Let z be ((-5)\/10)\/(3 + 412\/(-136)). Suppose -25*q + z*q = -192. What is the highest common divisor of q and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6677479 and 88645815?\nAnswer: 81968336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 465 and -21775706?\nAnswer: 21776171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 13, -0.9, 0.4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 5*b = 2726, -b = -1. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:51 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o. Suppose -x - 3*d + 2 = -30, 0 = -4*x + 3*d + 113. Suppose -1 + x = -4*t. Sort -5, 3, o, t.\nAnswer: t, -5, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 5:43 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5082) + (sqrt(5082) - 1*sqrt(5082)))\/sqrt(6) - (sqrt(56) - sqrt(392)\/sqrt(7))\/sqrt(8)*-2.\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/12 + 2*b**3\/3 - b**2 + 4*b. What is the units digit of y(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 3. What is the smallest common multiple of q(3) and 0 - 4 - 1*-11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - 0.053. Let z = -35.987 + d. Let m = 35.999989 + z. Round m to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let f(a) = -10*a**2 - 438. Determine f(c(g)).\nAnswer: -40*g**2 - 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33908688 divided by -16954344.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 9 + (-3 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1305356 and -49\/40466036?\nAnswer: 40466036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -1.84.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86163 and 39165?\nAnswer: 430815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2974 + 2973. Are j and 3\/511 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 16 - 24 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 63865 * -4\nAnswer: -255460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4752) - sqrt(4752)*2) + sqrt(4752))\/(sqrt(275)*-2 - sqrt(275) - sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 - 11*r**5\/30 - r**4\/4 + 7*r**3\/3 + 2*r**2 - 86*r. What are the prime factors of k(23)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 16 - 52 = 0. Solve -s + i*s = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -411267 in -1\/4, -0.04, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -676 + 1297. Let b = f + -742.3. Round b to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 3*d**4\/4 + 4*d**3 - 1713. Let g(k) = 0. What is k?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 442 + -246. Let i = j - 105. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 19. Let r(k) = k - 4. Let b(n) = 2*c(n) + 9*r(n). Determine b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 13 - 4 + 3123*t**3 - 6217*t**3 - 5*t**2 + 3132*t**3 as p*t + c*t**3 + a + w*t**2 and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:47 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -0*g - 2*g + h, -4*h = -4*g + 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**3 + 193*k**2 - 196*k - 256. Determine h(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1436241666*f - 171899176929537963.\nAnswer: -3*(f + 239373611)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2, 0.1, 5853?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7424\/9 - -5766\/7. Calculate the common denominator of -173\/2520 and n.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:27 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - 2*h**3 + 7*h + 43 - 8*h to the form d + f*h + z*h**2 + n*h**3 and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34198 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -7, 0, 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t - 4*y - 26, 5*t = -5*y - 10. Is (2\/t)\/((-54)\/(-101979)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 128*g - 135. Determine p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 20 = -5*c, -768*c - 37 = -772*c + 5*r. Let m(w) = w**3 + 19*w**2 + 3. Let s be m(-19). Solve 0 = 16*d + c - s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -48*n**2 + 4459*n + 434. Calculate c(93).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*p + 21*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, q: 4, n: 2, a: 2, g: 1, w: 9}. What is prob of sequence aa?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31578 and 26771.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by (366\/(-9))\/((-319)\/33 + 9).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -193555 by -1.\nAnswer: 193555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 134, 202, 270?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1109 - 5731 = 0. Suppose 0 = 5*y - 4*h + 8*h - 2312, -3*y + 4*h + o = 0. Let b = y - 303. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*x + 10*x - 8 = 0, 0 = 4*g + 4*x - 28 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -3 - 1) + 8. Suppose -f*t + 3*t - 5*s - 5 = 0, -4*s = 0. Let y = t + 11. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o + 214 = 56 - 147. Let l(s) be the first derivative of 7*s**2\/2 + 39*s - 1. Let h be l(o). What is the greatest common factor of 28 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9416770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9496078 is divided by 899.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + d0dd9c?\nAnswer: d0ddb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = v + 6*v. Suppose 0 = 5*c + 4*d - 30, 0 = -c + 3*c + 4*d - v. Solve -5*b - c = -26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.62? (a) -21 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 6*i - 6*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 582921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*o - 8, 4*x - 3*o = 12 - 28. Let c = -2 - x. What is the third derivative of 2*f**4 + 3*f**c - 6*f**4 - f**4 wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9330.5 + 9330. Let h be 0 + (-3 - 18\/(-7)). What is the third biggest value in -0.8, w, h, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**7))**(-13\/6)*(z**(-7))**14 assuming z is positive.\nAnswer: z**(-679\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + -3 + 14 + (-14 - 9). Suppose -3\/10*n + v - 1\/10*n**2 = 0. What is n?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -661*c**2 - 8*c - 4147. Let t(r) = -651*r**2 - 7*r - 4144. Let q(z) = 5*t(z) - 4*v(z). What is the first derivative of q(s) wrt s?\nAnswer: -1222*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let d(a) = 20*a**2 - 25*a + 35. Let o(b) = d(b) - 6*r(b). What is the units digit of o(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let c(u) = -24*u. Let q(r) = 385*r. Let t(o) = 49*c(o) + 3*q(o). Calculate t(z(v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21395, -21581, -21693, -21695, -21551, -21225, -20681?\nAnswer: -19883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.25079 * -1.01.\nAnswer: -1.2632979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -142644 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16016, -3399, 17630, 47071, 84924?\n\"Answer: 4206*d**2 - d - 20221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 - 14*a - 9. What is p(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1959 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-476.6698.\nAnswer: 5720.0376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/35, 0.08, 75?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/72 and 121\/36566136.\nAnswer: 36566136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (7 + 515\/15)*(-468)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 2*d**2 + 17 + 15*d**3 - 44*d**3 + d + 25 to b*d**2 + x*d + y*d**3 + z and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.345 + -0.845. Which is the second biggest value? (a) d (b) -0.1 (c) -2\/139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 - 2*i + 7*i**2 + 4*i + i**2 to the form o + d*i + p*i**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -4 - (7 + -15). Suppose 0 = 2*f + 6*y - 4*y - 4, -f - 10 = s*y. Suppose 0 = -5*v - 5 + 15. Calculate the greatest common divisor of v and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 541 and -0.518258118691?\nAnswer: 541.518258118691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zmmmmmzzmzzmmzmmmm.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y*y\/(((y\/(y\/(y*y*(y*y*y**(14\/5)*y)\/y)))\/y)\/y))\/y*y))\/(y*y**(2\/5))*(y**(-3\/23)\/y)**(-8) assuming y is positive.\nAnswer: y**(1431\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9739549*l*o - 2*l*u + 183285304*l + 6*o*u + u wrt o.\nAnswer: 9739549*l + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202533 (base 7) in base 3?\nAnswer: 1202102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469728 or 2\/9?\nAnswer: -469728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) - ((sqrt(1000) - (sqrt(1000) - sqrt(1000)*-2)) + sqrt(1000)) - sqrt(10))\/sqrt(5).\nAnswer: 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwwttpuuuutpmuut. What is prob of sequence uttp?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 7.9. Let z = -1.96 - h. Round z to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 31 + t - 2*t + t**2 = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/4 of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -301*d - 2. Let t(b) be the third derivative of -b**5\/60 - 4*b**2 + 24*b - 9. Calculate t(p(r)).\nAnswer: -90601*r**2 - 1204*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:46 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3673.7?\nAnswer: 11021.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w**2 - 61*w**2 - 18*w - 6*w + 24*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*-51\nAnswer: 112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) 0.3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -372.3 + 366.098. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592869?\nAnswer: 3, 83, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21640, 413, 3 in decreasing order.\nAnswer: 21640, 413, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from iffiiffiihfiifh?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*c + 0 + 8*c**2 + 498*c - 2 - 17*c**2 + 8*c**2 in the form w*c + n + p*c**2 and give w.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1202 - -1229.032. Let x = m + -0.032. Let d = 27.000168 - x. What is d rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/2 + 31*k - 61\/2 = 0.\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(27) + 3 - sqrt(27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 63406*t. Let w(s) = -s**2. Determine r(w(v)).\nAnswer: -v**4 - 63406*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x. Let j be d(5). Let c = j - -73. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w - 5*w)*(-8*w**3 - 5*w**3 + 5*w**3).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 - 23 - 8*s**2 - 10*s**2 + 23*s**2. Let b be n(7). Does 10 divide b\/32*208\/(-6) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 12404144*l - 9616424273296.\nAnswer: -4*(l + 1550518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 2*a**2 - 3*a - 2. Suppose -5*y - 30 = -q, 3*q - 354*y + 352*y + 1 = 0. Let t(g) = 3*g**3 - 5*g**2 - 6*g - 5. What is q*s(o) + 2*t(o)?\nAnswer: o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5)\/(24\/48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8132912, -16265839, -24398766?\n\"Answer: -8132927*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5090508000 rounded to the nearest one million?\nAnswer: -5091000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50941084?\nAnswer: 2, 83, 153437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-3 - -3 - -4). Let v(o) be the second derivative of 1\/80*o**5 + y*o**3 + 4*o - 1\/24*o**4 + 0*o**2 + 0. Factor v(x).\nAnswer: x**2*(x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyyyt. What is prob of picking 2 y and 1 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 180557*-0.3\nAnswer: -54167.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/5)\/(c*c**(-2\/17)*c) assuming c is positive.\nAnswer: c**(-194\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -255.727573544.\nAnswer: 255.427573544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -33, 110, 1 in descending order.\nAnswer: 110, 3, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -9\/4, -2\/7, -2?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 16.06. Let j = 102.727 - 103.6. Let s = j - t. What is s rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**4 - 249*b**3 - 170*b**2 + 12*b. Let u(v) = -18*v**4 - 498*v**3 - 338*v**2 + 21*v. Let y(z) = 7*h(z) - 4*u(z). Factor y(p).\nAnswer: 3*p**2*(p + 27)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48268 + 188.25.\nAnswer: -48079.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 1218.\nAnswer: 19488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 5\/(-3))*(-6)\/14?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 16 = 15. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17958663 to the power of 1\/2, to the nearest integer?\nAnswer: 4238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/35 - 57\/455. What is the closest to 1\/2 in -2, q, 5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 6, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.01 and 979.\nAnswer: 979.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 + -0.8. Let l = 37 + -36. Which is the second smallest value? (a) g (b) -2\/13 (c) l (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/15506 and 13\/185265688?\nAnswer: 185265688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4\/5 - 4*y**3\/5 - y**2 = 0. What is y?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6388 + 55945. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366010 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29251864?\nAnswer: 2, 3656483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 6 - (-24 - -23)) + (0 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-13)\/(182\/6)). Solve 0 = -2*z - 4*a + 10, a - 1 = -o*z + 8*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1235 divided by -4.\nAnswer: -1235\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -11. Let x = 11.16 + q. Let i = x - 0.1599928. Round i to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -11. Let f = b - -4. Solve 21 - 7 = l + 5*v, -5*l = f*v - 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7569fb (base 16) to base 11.\nAnswer: -4386282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(119)\/sqrt(7)*-1 - sqrt(17)) + sqrt(51)\/(sqrt(9)\/sqrt(3)) + -1)**2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 2)*(-5 + 1 + 2)*(v - 3*v + 0*v).\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1157 + 1201. Let s = -18\/13 - -23\/26. Let j = s + p. Find the common denominator of -29\/14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, c: 6}. Give prob of picking 3 c and 1 u.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*a + 65*a = -52. Solve 0 = 3*c - a*x - 14, -3*c - 2*x + 0*x - 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*b = 375 + 157. Calculate the remainder when 622 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/3 - 4*y**2\/3 - 8*y\/3 + 16\/3 = 0. What is y?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/195 + 19\/((-1710)\/(-12)). Which is the biggest value? (a) w (b) 0.5 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 7*l - 4. Let h be x(5). Solve 3*a - h - 9 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -13*l**2 + 5\/4*l**4 + 0*l - 43\/6*l**3 + 0. Is u(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25099917 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -8*b - 25. What is the remainder when 74 is divided by 126\/b - (-4)\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 - 3*l**2 + 5*l - 10. Let s be i(2). Suppose 0 = -g - 13*k + 11*k - 12, -s*g + k - 48 = 0. Which is bigger: g or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(1210))\/sqrt(2))**2*-1 - ((sqrt(80) + -5 + 2*sqrt(80) + sqrt(80))*-4)**2)*1.\nAnswer: -23300 + 2560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 250769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 - -62 - (1 + (2 - -1) + -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 90*h = -60016. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + 8*d**2 - 7*d - 82. List the prime factors of c(-5).\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*g**6 + 118*g**2 + 81*g**6 + 32*g**3 - 36*g**6 wrt g?\nAnswer: 360*g**3 + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*d**5 + 4\/11*d + 18\/11*d**3 + 0 - 14\/11*d**2 - 10\/11*d**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11872, 23688, 35382, 46894, 58164, 69132?\nAnswer: 79738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*j. Let d = 14 - 10. Which is the nearest to j? (a) d (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -o - 3*n + 8, 0 = 2*o + 3*n - 4. Let h be 3\/(o - 2\/(-8)). Let t be (-146 + h)*20*35. What is t rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-38 + 26 + -17).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 1. Let o be j(1). Let n be o\/(-6) + (-28)\/(-12). Suppose n*q - 5*p - 9 = q, 0 = -3*q + p + 7. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*9\/(-252)*352\/(-6204).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 160064406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*l - 19 = 2*l, 4*m - 16 = l. Let d(i) = -i**2 + 6*i - 3. Let a be d(m). Let w(k) = k**3 + k**2 + 1. What is the tens digit of w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -0.09 (c) -9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13855760 to the power of 1\/2, to the nearest integer?\nAnswer: 3722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2 + (-187)\/44?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*sqrt(133)*-2)\/(-5*sqrt(7)*2))**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*(-6)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s - 3. Suppose -2 = r - 10. Suppose r*m = -42 + 114. Suppose 4*y - 13 = -o, 0 = -2*y + 2*o + m + 5. What is c(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -236 - -1186\/5. Let p be -27 + (0 - (1 - 2)). Let x = -26 - p. Which is greater: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0 + 7*z - 1\/20*z**6 + 1\/8*z**4 + 0*z**2 - 1\/84*z**7 - 1\/40*z**5 + 1\/6*z**3. Solve u(t) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3179, 3155, 3109, 3041, 2951, 2839?\nAnswer: 2705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -38, -11, 38, 115, 226, 377?\n\"Answer: m**3 + 2*m**2 - 2*m - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 476718?\nAnswer: 1430154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {m: 1, n: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -3*h**5\/140 - 13*h**4\/28 + 15*h**3\/7 + 64*h - 8. Factor s(l).\nAnswer: -3*l*(l - 2)*(l + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-129))\/(207\/81).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*r**3 - 167*r**3 + 2960*r**2 + 44*r**2.\nAnswer: 92*r**3 + 3004*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 3*f + 263 = 236, 17 = -3*j + f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-15) + 3)\/(-5 + 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1931.4562 - 0.05.\nAnswer: -1931.5062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -30?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 + 3*l**2 + 0*l**2)*(-893560*l + 1 - 1 + 899821*l) as a*l + n*l**2 + m + i*l**3 and give i.\nAnswer: 18783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k + 1798 - 7398. Let z = -245 - k. What is the highest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 8*r + 7. Let d = -91 - -87. What is the remainder when n(d) is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1822.0369 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1021 not equal to -1017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2077 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -19. Let m(k) = k**3 - 6*k - 8. Let s be m(4). Let p = s + a. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.644 - -9.444979752\nAnswer: 8.800979752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*3 - 4\/(-2). Suppose -5*f + 4*c = -38, t*f - 6*c + 3*c = 30. Solve -f*o = -2*r - o + 14, 0 = r - 2*o - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8138580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2737415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -22*c + 51. What are the prime factors of i(-8)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 124 = 152. Calculate the smallest common multiple of p and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(76) - (sqrt(76)*2*-1 + sqrt(76))) + 0)**2 - (1 + (sqrt(931) - (sqrt(931) + -1 + 3) - (5 + (sqrt(931) - 2*sqrt(931) - sqrt(931)))))**2.\nAnswer: -2544 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7903 and 167092.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -147?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -123, -219, -295, -345, -363, -343?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 5*t - 27, -5*t - 6*l = -9*l - 24 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**9\/2268 - t**8\/560 + t**7\/420 - t**6\/1080 + 2*t**3 - 5. Let f(u) be the third derivative of h(u). Solve f(d) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3734871*a = -3734877*a - 18, -a + 21 = 2*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 4, y: 6, j: 5}. Give prob of picking 4 y.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/21414 and -103\/24.\nAnswer: 85656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4 + 18932*q**3 + 360848*q**2 + 1444992*q - 1824768 = 0.\nAnswer: -12, -8, 1, 4752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.36. Let z be 35*1\/30 + (-8)\/16. What is the third biggest value in v, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u - 10. Let y = -4 + 5. Suppose b + y = -6. Let f(p) = 7*p - 7. Determine b*f(o) + 5*w(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3283 + 3270. Which is the closest to 0? (a) n (b) 5 (c) -0.3 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - -1) + 160\/(-260). Which is smaller: x or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-35)\/(a*a*a**(-27))*a*a*a**(7\/8)*a*a*a**43 assuming a is positive.\nAnswer: a**(303\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4 + 64*q**3 + 72*q**2 - 64*q - 68 = 0.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -464847 or -464845?\nAnswer: -464845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 4*s**2 - 6*s - 3. Let z be m(-5). Suppose z*r + 405 = 7*r. Let v = r - 44. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31823, -127361, -286589, -509507, -796115, -1146413?\n\"Answer: -31845*j**2 - 3*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.5 - -0.5. Let i(c) = 14*c**2 + 26*c + 14. Let j(r) = 5*r**2 + 9*r + 5. Let y(z) = -6*i(z) + 17*j(z). Let l be y(2). Sort 1, l, n in increasing order.\nAnswer: n, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91260 and 2535.\nAnswer: 91260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-162)*1*6\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -2\/3*r**4 + 0*r + 2\/105*r**7 + 0*r**3 + 0 - 1\/6*r**6 - 2*r**2 + 8\/15*r**5. Determine v so that w(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956910 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - l**2 - 3*l + 2. Let n be v(3). Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 + 6)*(2 - (-57)\/(-6)). Let z = f - 41. Solve 4*p + z*j = -4, -4*j = 3*p - 2*j + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 391476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8176.1 + -7410. Let k = b + -734. Round k to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 66, 150, 268, 420, 606?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/10 - (-144)\/(-30). Let g(u) = 2*u**2 + 2*u. Let m be g(l). Let b be -5*(9 - 10) + 11. Calculate the highest common divisor of m and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2496 and 19656?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9 - 56\/72 - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0124222 kilograms to tonnes.\nAnswer: 0.0000124222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = s + c, 31*c - 27*c = -3*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391313 and 13594.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-14)*(-14)\/4. Is 4417 + -1 + q + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/20*3*-5. Let d = 5 - 1. Sort d, 0, u in increasing order.\nAnswer: u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (220*o + 328*o + 399*o + 303*o - 239*o)*(7 + 4 + 8).\nAnswer: 19209*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + 1 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.5292 and 0.1.\nAnswer: 3.6292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r - 192 = 56*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 (base 16) in base 15?\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 37 = -4*n - 45, 0*h - 15 = -5*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 327, 702 in increasing order.\nAnswer: -44, 327, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1440)\/(-600))\/(33\/(-55))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*r**3 - 66*m**3*r**2 + 121978*m**3 - m**2*r**3 + 4*m**2*r**2 + 79*m**2 - m*r**3 - 1223 wrt m.\nAnswer: 6*r**3 - 396*r**2 + 731868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-4)))\/(d\/d**(3\/5)))**(7\/5)\/((d*(d*d\/d**(-6))\/d*d)\/d**(-7))**(-25) assuming d is positive.\nAnswer: d**(9846\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 135887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 18830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -6135\nAnswer: -7\/6135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/((-54)\/396) + -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496874879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1354\/3 - 9490\/21. Let z = -1 - -0.95. What is the third smallest value in 0.1, v, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3008 by 18.\nAnswer: -1504\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150.641 + 0.359. Which is smaller: c or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -121?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 4*q - 4*g, 4*g + 3 = q. Solve 0 = -4*u + 4*r + 19 - q, 6 = -3*r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i + 4. What is p(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 114. Suppose 6*j = 5*j + 3. Suppose j*c - 26 = c. What is the remainder when h is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4039*x + 141217. Give u(35).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**7\/6 - 10*z**3\/3 + 13*z. Find the second derivative of n(i) wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a54b (base 12) in base 4?\nAnswer: -230322023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6)*0 - 3) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -11*a**4\/18 + 34*a**3 + 56*a**2\/3 - a + 1644. What is c in h(c) = 0?\nAnswer: -2\/11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 7*w - 7. Suppose 0 = -b + 4*b + 24. Is q(b) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36261.\nAnswer: 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 81*p + 0*p**2 - p**2 - 88*p - 11. Let l be n(-4). Let g be 40\/15 - l\/(-3). Solve -g*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5358? (a) 2 (b) 55\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14419?\nAnswer: 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 3*o + 3. Let j be l(-4). Which is the nearest to 0.1? (a) j (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 98*i**2 + 21376*i + 2696. What is s(-218)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25754 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 9*y**2 - y - 6. Let o be m(-9). Suppose o*d - 49 = -2*s, 6 = 2*s + s. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977310.5 centuries in millennia?\nAnswer: 97731.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 0*x**2 - 8*x**3 + 2*x + 2*x**2 + 0*x**3 + 6*x**3. Give a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-20) - 16\/20)\/(-2). Suppose g = -5*f + 5*r + 15, r - 25 = -4*f - 3. Solve 9*u - f*u = 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764318998 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2062 + -2034. Solve d*z = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50388 + 5.\nAnswer: -50383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25798378 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*11 + (9 - 7) + 6. Suppose 4*a + 58 = j, 37*j - 5*a = r*j - 169. What is the remainder when j is divided by (17\/2)\/((-1)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (0 - (-7 - -22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-240)\/(-462) - ((-1)\/(-6) + (-372)\/504).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1292, 1369, 1446, 1523?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -43*i - 8. Let n = -122 - -119. List the prime factors of c(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -417 - -430. Suppose -1961 + 4990 = q*s. What are the prime factors of s?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**4\/4 + 5*l**3\/3 - l**2\/2 - 4*l + 3. Let z be v(2). Let u = -1 + 4. Is z less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 1267.\nAnswer: 27874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2267\/2697 + -25\/29. Is x < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/8)*d**(-1\/15))**(13\/3)\/(d**9\/d**8)**22 assuming d is positive.\nAnswer: d**(-5879\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u. Let k(f) = -3975*f**2 - 1. What is k(w(p))?\nAnswer: -254400*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26267588 and 57053?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132452585 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 833.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -p - p + 18, 4*a - 9 = -5*p. Suppose 4*n = a + 6. What is the second derivative of -y**5 + 3*y - n*y**5 + 20*y**5 wrt y?\nAnswer: 320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 4*i - 1. Let p be q(5). Let l = 21 + -11. Suppose 5*n = -5*d - 25, -d + 3*d + l = -5*n. Solve n = -h + 3*r - 7, -p*h = 3*r - 4 + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 take away -187534717202?\nAnswer: 187534717144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:15 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 23*n - 16. Is 23 a factor of c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 182, 274?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let n(d) = -3*d. Let b(c) = 2*n(c) - 5*v(c). Let g(r) be the third derivative of 31*r**5\/15 - 10331*r**2. Determine b(g(z)).\nAnswer: -124*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1738661? (a) 0.1 (b) 2.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z + 4. Let s(w) = 2*w**3 - 2*w**2 - 2*w - 5. Determine 4*m(u) + 3*s(u).\nAnswer: 6*u**3 - 2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3\/8, -2\/5, 0.5, 3, -13.4 in ascending order.\nAnswer: -13.4, -12, -2\/5, 3\/8, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h - 2. Suppose p + 4 = -4*c + 33, -3*p - 17 = -c. Let s be (c\/12)\/(4\/30). Let a(d) = d**3 - 6*d**2 + 6*d - 3. Let j be a(s). Determine i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49037254?\nAnswer: 2, 7, 113, 139, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000235940851 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.12, 36, -1\/4, 0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 35*k**3 - 90*k**2 - 100*k - 40.\nAnswer: -5*(k + 1)*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350751?\nAnswer: 3, 43, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 47*m + 247. Let r be f(-41). Suppose 0 = -5*a + h + 1864, -3*h = r + 11. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 455063417984 and -0.036.\nAnswer: 455063417983.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2 = -3*v, -25 = r - 5*r + 5*v. Solve -28*l = -29*l - r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 236*k**3 + 63 wrt k.\nAnswer: 708*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 + o - 2. Suppose 0 = 2*b + 12 - 4. Let v be f(b). Find the third derivative of 4*h**4 - 5*h**2 - 6 - 4 + v wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 49. Suppose g = 9 + p. Let j be (2\/(-1))\/(-4 + 2). Solve -3*t - 15 = 0, 4*v + g = -3*t - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 times -0.01\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.1 and 1.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 914253 to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(p**3 - 4 - 3*p**3 + 3).\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/4)\/(j*(j**(-4)\/j)\/j) assuming j is positive.\nAnswer: j**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1249.2.\nAnswer: -1249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4636667 milligrams to nanograms.\nAnswer: 463666.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5591 divided by -337\nAnswer: 5591\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**30*f)\/(f\/f**11*f)*(f*f*f**(-2\/7)*f)\/f**28 assuming f is positive.\nAnswer: f**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y - 9 = -62*y. Suppose 4*j = -3*f - 9, 7*f = 3*f - j + 1. Let b be (f\/(-15))\/(6\/(-18)). Is b <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 20. What is the remainder when 38 is divided by 10\/(-2 - u\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*x - 413*x = -753576. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-1*(-10)\/(-35))\/((-13560)\/14238).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5 + 14*i**3 - 15*i**3)*(-515*i + 11*i**2 + 515*i + (4*i**2 - i**2 - 2*i**2)*(-1 - 2 + 4) + 0*i**2 + i**2 - 3*i**2).\nAnswer: -10*i**5 - 110*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -36, -0.5, -2\/15, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 16. What is the third derivative of -10*q**3 - 15*q**3 + 18*q**3 - c*q**2 wrt q?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 0, -3, 4, -4, -1.\nAnswer: -4, -3, -1, 0, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-21) + 7\/3. Let a be 16\/(-20)*5\/(-2). Factor 8*u + x*u + 3*u**a + 0*u + 3 - 4*u.\nAnswer: 3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:05 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.065 and 5.93606.\nAnswer: -0.3858439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 2 - 2 + (-4*g + 5*g - 2*g)*(3*g - 3*g - g**2))*((-1 - 2 + 2)*(-6 + 2 + 2) + 2 + 3 - 2).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 - 2*r**2 + 0*r**2 + (-2 - 1 + 5)*(-r**2 - r**2 - 2*r**2) + (3*r - 4*r + 0*r)*(3*r - 3*r + r) to d + x*r**2 + w*r and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*m**5*n - 10*m**3*n**2 - m**2 - m*n - 5*m + n**2 wrt m?\nAnswer: 240*m**3*n - 60*m*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 30*n = -27*n - 36, -8*c + 5*n = 81 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -320, -754, -1374, -2180?\nAnswer: -3172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 275688923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/12 + (-122)\/(-8). Suppose 4*s - 2*d - 6 = 16, -5*s + 4*d = -29. Solve 10 = n + 3*p, 5*p + s - f = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(8\/12). Let j be -4 + -3 + 4 - f. What is the third biggest value in 2\/7, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485585727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4247 (base 15) in base 6?\nAnswer: -144521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 8 = 20*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3108 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -661 - -661. Suppose a = 2052*s - 2060*s + 128. Calculate the greatest common divisor of s and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17.7 in -3, 4, -36, -3\/7, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -171 + 155. Let t(x) = -6*x. Let h(b) = -2*b. Let p be 1*3 - (1 + -1 + -2). Give n*h(l) + p*t(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -6, 11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*g - 11*g + 11*g - 2*g - 2 + 2 + (-2 + 1 - 1)*(0 + 0 - g) - 4 + 2*g + 4 + 1 - 1 - 4*g + 0*g - g + 0*g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:18 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3380 = -5*b + 4*l, -5*l = b - l - 700. Suppose -5*t - 5*i + 3385 = 0, 4*i = 3*t - b - 1372. Is t a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l + 209 - 209.\nAnswer: 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -4.03. Let l be 0\/16 - -1*(-2)\/25. Which is the third smallest value? (a) 4\/3 (b) -3\/4 (c) l (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 576.315243 nanoseconds?\nAnswer: 0.0000000000009529021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 + 656. Let v = 1919\/5 - i. Let c = 1 + 0. Is c at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Suppose -3*a - 22800015 = -4*l, -h*l - 4*a = l - 17099980. What is l rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**3 + 12*b - 13. Calculate h(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -911, -3562, -7857, -13694, -20971, -29586?\nAnswer: -39437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + b + 9 - 59, -4*o + 62 = -b. What is the remainder when 109 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 3:06 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, u: 4, c: 9}. What is prob of sequence cca?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 7 + 176\/8 - -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -7910140\nAnswer: -1\/3955070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i - 5. Let m(l) = -16 + 3*l - i*l + 6*l - l**2 + 3*l. Let h be m(7). Which is the nearest to 1\/5? (a) 4 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2379?\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -782*y. Let s(a) = -12*a**2. Determine p(s(q)).\nAnswer: 9384*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.702938 rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -300 + 582. Suppose -m = -5, 2*m - 420 = -4*v + t. Suppose 5*u = -43 + v. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -81820, -163682, -245574, -327496, -409448?\n\"Answer: -15*d**2 - 81817*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**0\/h)*h)**(6\/13)*(h*h**4)\/h**(-3)*(h**6*h**4)\/((h*(h\/((h**(2\/11)\/h*h)\/h))\/h*h*h)\/(h\/(h\/(h\/h**(-4)*h))*h)) assuming h is positive.\nAnswer: h**(3227\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 680 by -4.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58957034?\nAnswer: 2, 29478517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 l when three letters picked without replacement from glltmlttoho.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:53 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*w**3 - w + 105*w**3 + 2*w - 1500*w**2.\nAnswer: -2*w**3 - 1500*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 118 - 22. Suppose -3*c - 4*m = c - 8, -10 = -5*c + 5*m. What is the lowest common multiple of c and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*u + 4 - 0, 0 = -2*z + 5*u + 39. Suppose 3*d - 3*j + 6 = 0, d + z = 2*j + 2. What is the nearest to d in 0, -1\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 43994026*z**2. Let p(x) = -2*x. Give t(p(v)).\nAnswer: 175976104*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*h**4\/7 + 2900*h**3\/7 + 6240*h**2\/7 + 5888*h\/7 + 2048\/7.\nAnswer: 4*(h + 1)*(5*h + 8)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 965180.3 rounded to the nearest 100?\nAnswer: 965200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -2 (c) 0.08 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350271 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**2 + 0*t**3 + 10 + t**3 - 2*t**3 - t. Let w = -46175 + 46182. Determine r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1231 = -3*o, -4*o - 5*x + 1805 = 151. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 868 divide 2954672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(-17))\/5*4\/(12\/9).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -1179 (c) 1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141423 is divided by 649.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 6 = -4*j. Let b(m) = 2*m**2 - 3*m + j + 3*m + 0*m - 6*m. Calculate b(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435507 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015 is divided by 1827.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 13. Let f be x(9). Let l(r) = r**3 - r**2 - 4*r + 6. What is the units digit of l(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12895 + -24048. Suppose 3*n = 5*b - 20049, 11*n - 9*n + b = -13366. Let r = z - n. Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17227776 times -0.1\nAnswer: 1722777.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3232\/(-12)*42\/(-28). Let k = -8482\/21 + u. Let o = -1.8 + 2. Which is the closest to 0.1? (a) o (b) 0.05 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1bf?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-5 - 0) + -3 + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 5, -2\/13.\nAnswer: -64, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-4))\/((-24)\/9 + 3). Suppose k = -5*z + 6*k + 240, 5*z = -4*k + 258. Let m = z + u. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-819)*((-2)\/(-20))\/((-62)\/465)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 4. Let s be m(1). Let p be (656\/(-12))\/(s\/81). Is (p\/4 - -5)*2\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3368547200 rounded to the nearest 1000000?\nAnswer: -3369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*(z*(z**(-4\/5)\/z)\/z)\/z)\/(z**(-21)\/(z**6\/z)) assuming z is positive.\nAnswer: z**(1266\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890*u**2 - 680*u**2 - 2 + 617*u**2 + 0.\nAnswer: -953*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 1254.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -162\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2169407.5 to the nearest ten thousand.\nAnswer: -2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 + 229. Solve -6*t + o = -8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oojj when four letters picked without replacement from {i: 1, o: 8, j: 11}.\nAnswer: 154\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 3*f + 1. What is the least common multiple of 5 and x(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 62 = -c. Suppose c*d = 40*d + 198. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - 21940\/(-560))*7\/20\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*i**3 - 2 + 2 + (3*i**2 - 5*i**2 + i**2)*(0*i + i + i) - 4*i**3 - 3*i**3 + 6*i**3.\nAnswer: -5*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**3 - 6*t**2 - 361 with respect to t.\nAnswer: -12*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.03965, 1\/4, 5, 1 in decreasing order.\nAnswer: 5, 1, 1\/4, 0.03965, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**5 - l**4 - l + 1. Let d(n) = 8*n**5 + 6*n**4 + n**2 + 6*n - 6. Let i(p) = -6*a(p) - d(p). Find the third derivative of i(v) wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {d: 5, z: 7}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 107359*k**2 - 117061. Let u(w) = -3579*w**2 + 3902. Let i(v) = 4*a(v) + 119*u(v). Differentiate i(c) with respect to c.\nAnswer: 7070*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 24 = 9*z. Suppose z*s + 51 = 2*a + 1, -3*s - 100 = -4*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 492497 - 254356. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 16\/3 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 + -128. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1457*h**2 + 667*h**2 + 743*h**2. Let s(f) = -35*f. Determine s(b(u)).\nAnswer: 1645*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118495.\nAnswer: 5, 7, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 - 3*c**2\/2 + 3*c.\nAnswer: -3*c*(c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2*-642796.\nAnswer: -3342539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -512 - 4*k + k - k + 259 + 299. Determine w(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 6237326964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 66360 divided by 3318?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 156*s**3 - 3*s**2 + 3*s - 2. Is 22 a factor of v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v = 62*v - 3239327. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -37. Factor -y**2 + 58*y**3 + y**2 - y**4 - 57*y**c.\nAnswer: -y**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 79 - 289. Suppose 342 + x = 5*v. Let h = 677 - v. Is h 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 11:51 PM and 2:07 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(153) - 1*sqrt(153)) - sqrt(153) - (-5 + (sqrt(17) - sqrt(1377))*4).\nAnswer: 3 + 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 4*h - 24, -4*s + 2*h - 4*h + 2 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) -259 (c) 0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n - 4. Let w be s(-5). Let a = -25 + w. Suppose 0 = -a*o + 6 - 6. Which is smaller: o or -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15125*o**2\/2 + 1633775*o - 176477405\/2.\nAnswer: -5*(55*o - 5941)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h**2 + 3*h - 2. Let z be g(-3). Let a(f) = -26*f - 32. List the prime factors of a(z).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -11*j + 3. Let q be f(-3). Let c = q - -4. Suppose -2*m = -64 - c. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 5, z: 3, h: 1, d: 6}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7. Let b be -52 + -5 + 2 + x. What is b rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (80\/(-60))\/((-12)\/9). Let k(d) = 8*d**3 - 3*d**2 - 3*d. Let u(a) = -a**3 + a**2 + a. Calculate f*k(n) + 3*u(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 0*t + 0*t)*(4*t**2 + t**2 - 2*t**2) - 4*t**5 + 2*t**5 + t**5.\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h + 11. Let m(q) = 7*q + 12. Let z(o) = -5*l(o) + 4*m(o). Let g be z(-6). Solve -5*u + 2 = 3*j + 14, -g*j - 20 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 1819314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzslwhd. Give prob of sequence hz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 8456\/3808*4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319624 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-7 - -8)*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5818 + -5770. Calculate the least common multiple of k and (6\/(-5))\/((-90)\/750).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54, 114, 180, 252, 330, 414?\n\"Answer: 3*t**2 + 51*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -686 + 340. Let o = u - -608. Let i = o + -157. Calculate the greatest common factor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -77. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*k + 18 - 3, -18 = -4*d - 2*k. Suppose -d*i = -4*f - 550, 3*f + 15 = -0*f. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 645 = 18*o - 381. Solve -8*l + 17 = o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 750\/77 or 10?\nAnswer: 750\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.2. Let g = y + -0.3. Let j = 0.09986 - g. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 45, 9, 1 in decreasing order.\nAnswer: 45, 9, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*1\/(0 + -1). Suppose -t = 3*r - 13. Calculate the lowest common multiple of (16\/(-28))\/(2\/(-7)) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-20))\/(-5*(-3)\/75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 3. Let g = 10 + 10. Let t be ((-4)\/g)\/(2\/4). Are p and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**3 + 209*h + 29221*h**2 - 29224*h**2 - 19*h**3 wrt h.\nAnswer: -138*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-244)\/2013*11)\/(-1)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-40)\/(-288))\/(84\/189).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 72 = -5*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 5*p - 4. Calculate d(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169662216*w**4 - 169457486*w wrt w.\nAnswer: 2035946592*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, j: 1, r: 1, m: 4, s: 1, w: 3}. What is prob of picking 1 m and 1 j?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037960 is divided by 937.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.069 + 0.369. Suppose 0 = 37*m - 43*m + 36. Which is the closest to -1? (a) m (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11152159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 35536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = -2*b, -b + 2*b + 5 = 2*u. Suppose 0*i + b*i = -9. Which is bigger: i or -7\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3143 - 13542 = -7*y, 4144 = 2*m - 5*y. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1422889.13 and 1.3.\nAnswer: -1422887.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314809 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.09 - 185.91. Let s = 187.8 + m. Which is the smallest value? (a) 35 (b) s (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 2 + 3)*(x - 3*x + 4*x).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -68, -71, -84, -113, -164, -243, -356, -509?\n\"Answer: -f**3 + f**2 + f - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -192, -187, -182, -177, -172?\n\"Answer: 5*r - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -5. Let r be 0 + 6*(-6)\/v. Let n be (-2)\/r - 15\/(-10). Solve -n*b = 3*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4056269.86233068 - 4056970.58. Let z = -702.01767 - q. Let v = z - -1.3. Round v to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 0, 0.3, 5, 0.09, 65?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/17 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 4*i**2 - 831*i + 35. Calculate h(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/2)\/((-8)\/6928). Let m = b - -839. Is 3\/18 + m\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*y + 8, -2*q + 4*y - 5 = 3. Suppose s = -q*s + 4. Calculate the least common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 9)*(-18)\/7 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/9776 and 17\/208.\nAnswer: 9776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = y + 21, 4*y + 100*d + 18 = 99*d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = 5. Let d(l) = 10*l - 6. Let m(c) = -57*c + 44. Let f(p) = 19*p - 15. Let h(s) = -11*f(s) - 4*m(s). Determine g*h(r) - 11*d(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/720 - 29*k**4\/6 - k**2\/2 + 3*k - 4. Let j(g) be the third derivative of u(g). Let i(f) = -195*f. Give i(j(x)).\nAnswer: -195*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*l - 8, -7*l = -11*l. Solve 5 - 6 = -2*t + 5*j, f*t + 4*j = 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + -3*(-2 + sqrt(1088)))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 69*a - 43*a - 163. Solve -103*v + a = -104*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + 9 + 1 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001111 + -100110000101?\nAnswer: -101101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118947 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-24))\/((-3)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -26.7. Which is the second biggest value? (a) -0.5 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262762?\nAnswer: 2, 131381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2637 - -87035\/33. Find the common denominator of 2\/121 and c.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -723 + 1152. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17730804 divided by -3?\nAnswer: -5910268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33489, -33504, -33519?\nAnswer: -33534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a + 5. Suppose 16 = 3*q + q. Suppose 0 = q*y - 8*y + 12. Let v(x) = -x - 3. What is y*s(j) + 5*v(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80745794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*sqrt(405)*-6 + 4.\nAnswer: -216*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, d: 7}. Give prob of picking 3 d and 1 s.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135401 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6235 - 6214.715. What is c rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584511 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -792964*t**3 - t**2 + 20*t + 41. Let s be h(-3). What is s rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10322233 - 2?\nAnswer: 10322231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -754 - 2?\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -0.4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13634 by 2.\nAnswer: -6817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06512424 + -16.5?\nAnswer: -16.43487576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3 + 103*o**2 + 299*o - 111 = 0.\nAnswer: -3, 1\/3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -3*q - 5, 0*c + c + 3*q - 19 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 (base 13) in base 14?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23289 divided by 7763\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 7188*t - 4305612.\nAnswer: -3*(t - 1198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in seconds?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (-1 + (4 - 4)). Suppose 3*c = 2*k - d*k + 2004, -c = -2*k + 1345. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -z + 9 = -a, -g*a - 7 = z + 9. Suppose 9 - 1 = z*b. Solve -i - b*s = -6, -i = -6*s + 3*s - 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230853, 230956, 231059?\nAnswer: 231162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**3 + u**3 + u**3)*(6 - 1 - 3) - 2*u**3 - u**3 + 2*u**3 in the form p*u**2 + g*u + t + q*u**3 and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -225250000 to the nearest one million.\nAnswer: -225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1722*i - 3825.\nAnswer: 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 0*c**2 - 4*c**2 + 2*c**2. Let s(h) = h + 6. Let p(x) = 2*x + 11. Let k(v) = -6*p(v) + 11*s(v). Give j(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -310450 divided by 310450?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -19*x + 449. Suppose -x = 2*n - 88. Suppose 2*u + 2*p = 180, -p = 4*u - 4*p - 332. Calculate the remainder when u is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 6*i**2 - 7*i + 1. Let y be o(-2). Let p(l) = -3*l**2 - l + 6. Let g(n) = -n**2 + n + 2. Let h(d) = y*p(d) + 4*g(d). Calculate h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p + 3822 + 859 + 341 = 0. What is the remainder when 280 is divided by p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 45\/10)*(13 + -13). Let h(r) = r**3 - 10*r**2 + 8*r + 13. Let f be h(9). Solve m*b + f = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2840293.\nAnswer: 23, 123491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 1\/(-2)*140\/(-5). Let b(f) = 10*f - 6 + 63*f - s - 2. Let j be b(3). Calculate the highest common factor of 40 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1. Let z(h) = -2. Let g(o) = 3*n(o) + z(o). Let q(y) = -y**3 - y**2 - y - 3. Give -3*g(v) - q(v).\nAnswer: v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -8777, -2 in ascending order.\nAnswer: -8777, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5\/5 - 28*y**4\/5 + 2*y**3 + 28*y**2 - 8*y\/5 - 112\/5 = 0?\nAnswer: -14, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*c = -87*c + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v)\/v*v**(-1\/4))**25*((v**2\/v)\/(((v**6\/v)\/v)\/v*v))**(-2) assuming v is positive.\nAnswer: v**(499\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Let f(z) = 7*z - 10679. Determine h(f(r)).\nAnswer: 28*r - 42716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 208*p - 205*p + 9 = 0, -2*p + 34 = 4*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let q = 125 + -379\/3. Which is the third biggest value? (a) o (b) 1\/12 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - -16) + 192 + -251?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12267\/(-5973))\/((-2)\/6*127). Let u = -48\/1397 - p. Calculate the common denominator of u and 4\/5.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 + 6. Let i = 0.38 - 14.38. Let j = i - -18. What is the biggest value in -4\/3, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 56*w + 10*w + 83*w.\nAnswer: 149*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-177429 + 177429 - 298*q) + 0*q - 4*q + 3*q.\nAnswer: 893*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + u**3 + 2*u**3 - 5005 + 5005.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1065a23?\nAnswer: -1065a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 5. Let q = 27 + -21. Calculate a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*g - 433 + 419 = 0, -5*l - 5*g + 35 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 33312924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, 5*j + 6 = 4*x - 90. Let s = 94051\/50490 - -2\/2295. What is the common denominator of 4 - 6 - (-135)\/x and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, -3324\/89, 9 in ascending order.\nAnswer: -3324\/89, -3, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 1:55 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6599.\nAnswer: 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*y + 160*y = 303*y + 605 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2442*j + 1080992 = 6639*j + 2968*j + 235*j for j.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 46, 118, 238, 418, 670?\nAnswer: 1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*a + 15, 59639*a - 4*j = 59637*a - 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yko when three letters picked without replacement from yokok.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17304817 a multiple of 3746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2493*z**3 + 2491*z**3 - 8*z + 10*z**2 - z**2 + 8. Let m be b(4). Let i be -3*(m\/(-6) + -2). Solve -2*a + 6 = -i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c**(-2\/13)\/c)\/c)\/c*c*c)\/c*c*c*c*c*c)**(-3\/4)\/((c*c**(-4))\/c)**(-15) assuming c is positive.\nAnswer: c**(-1635\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1499*g**4 - 12*g**3 - 88664*g**2 wrt g.\nAnswer: 35976*g - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 42*g**2 - 9*g + 1001. Let j(r) = -16*r**2 + 3*r - 333. What is -8*j(d) - 3*u(d)?\nAnswer: 2*d**2 + 3*d - 339","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 3*x**2 - 6*x + 6. Let r(y) = -y + 1. Let b(o) = p(o) - 2*r(o). Calculate b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7325 is divided by 731.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 283.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(20) + -4 - sqrt(20)) + -2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.482 to one decimal place.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = d - 5*r, 2*d = -2*d - r + 11. Factor a**2 + 2*a**2 - 7*a**2 - a**d.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a + 205. Let w be p(-20). Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 2012631.\nAnswer: 145\/2012631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.2 - 11. Let r be 8\/6 - (-3)\/(-9). What is the nearest to r in u, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/8 + (8 - -3). Solve -c*y - y - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10326 at most as big as 10295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.1, 17, 10, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1225 - 1224.77. Which is the closest to -2\/9? (a) -1\/4 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1360804529\nAnswer: -1360804529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24 + -0.27. Suppose 3*b = 6*b + j + 13, -3*j = -4*b - 13. Sort b, -5, y in ascending order.\nAnswer: -5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91 + 91 + 88*p as x + d*p and give d.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 37. Suppose -7*a - 3 = -4*a, 2*a = 2*x - 12. Suppose x*g - 36 = 2*g. Calculate the remainder when b is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 537306789 to the power of 1\/2, to the nearest integer?\nAnswer: 23180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 5*u**2 - 18*u + 8. Calculate t(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04138 plus 1?\nAnswer: 1.04138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9307832*a**3 + 12386664*a**2?\nAnswer: -55846992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12049, -11462, -10875, -10288, -9701, -9114?\nAnswer: -8527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n + 21. Let p be r(-9). Solve -l = 2*h - p - 1, 5*l = 5*h + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*i - 5*i + 7*i)*(3*i - i**3 - 3*i) - 6*i**4 + 6*i**4 + i**4 + 4*i.\nAnswer: -19*i**4 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.766 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/27)*y)\/(y**12*y)*y**4*(y*y\/y**9)\/y*y assuming y is positive.\nAnswer: y**(-407\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241086*b - b**3 - 60*b**2 + 241087*b + b**4 + 12*b**4 to the form d*b**4 + p*b**3 + n*b + h + o*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3923119 minus 0.11?\nAnswer: 3923118.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)*d**(2\/7)*(d**1*d)**3)\/(((d**(-6\/7)\/d)\/(d**(-1\/2)*d))\/((d*d**(-1\/4))\/d)**4) assuming d is positive.\nAnswer: d**(991\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 609900144.2 - 609900288.20000251. Let t = k + 144. What is t rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -20079*k**2. Let f(c) = c. What is x(f(l))?\nAnswer: -20079*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1260*q - 4*q**2 - 1260*q + 70*q**3 wrt q.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*p - 1058 - 472 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, g: 4}. What is prob of sequence gga?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82936?\nAnswer: 2, 7, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.031 - 3.031. Which is the fourth biggest value? (a) w (b) 1\/4 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1509939.4169562 + -1509454.417. Let t = u + -485. Round t to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 2*s, -5*d + 9*s = 4*s + 10. Is (d - 40)*(4 - 5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 15, r: 4}. What is prob of picking 2 r?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwxk. Give prob of picking 2 x and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 7. Suppose 41 = s - 2*f, -2*f = -2*s + 7*f + 87. Calculate the remainder when s is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from wbj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 10. Let h = 2.9 - l. Let j = -4 - -7. Which is the nearest to h? (a) -1\/4 (b) j (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67829482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 833447 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.39 + -9.19. Let t = d + 13.1. What is t rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - r + 0)*(-2*r**3 + 0*r**3 + 3*r**3) + 7*r**4 + 3*r**4 - 3*r**4.\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 483626501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 + 20*a**2 - 209*a - 2079. What is y(-9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-30)*(-11)\/((-33)\/6). Determine p so that 3\/5*p**2 + 0*p**4 - 12\/5*p**5 - b + 21\/5*p**3 - 9\/5*p = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, 0 = 4*o - 8*i + 4*i - 12. Suppose -3*v + 3 = 0, 0 = 2*b + 3*v - 4 - 3. Solve 3*h + b*n = -1, o*h + n = 4*h + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227 - -232. Solve 2*r + t = 2*z - 3, 0 = -3*r + 5*z - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*s - 3096 + 13834, -10748 = -g - 5*s. What are the prime factors of g?\nAnswer: 3, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28986 divided by -87?\nAnswer: 9662\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 157005 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*s + 849 = 0, -339 = 2*m - 4*m + s. Calculate the remainder when m is divided by 59.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 4*v)*(2*v - 2*v + 2*v**2)*(-v + 2*v + 0*v)*(-5 + 1 + 2).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70840, -70794, -70716, -70606, -70464, -70290?\nAnswer: -70084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 8. Let x be -42*(-24 - 8551\/(-357)). Solve 0*l = -s*l + 2, -5 = 3*h - x*l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -7, 1\/4, -23.\nAnswer: -23, -7, 1\/4, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7*p + 368. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962*n - 222226 = -69190 for n.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 12 = -j, 6*a = 10*a + 3*j - 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 26*a**3\/5 + 48314*a**2\/3 + 14457676*a\/15 + 246928\/5 = 0.\nAnswer: -3036, -61, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 2*u + 1. Let o(g) = -8*g**2 - 3*g - 2. Let w(a) = 3*o(a) + 5*p(a). Let l(h) = -7*h**2 - 5*h + 5. Determine l(b) + 5*w(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 38. Let x be j(19). Which is greater: x or -9\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40876 is divided by 112?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j. Let b = 0 + 9. Let l(k) = 7*k**2 + b*k**2 - 15*k**2. Give a(l(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 25832 = j, -w - 25836 = -2*w + 3*j. Let r = w + -9224. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000083674 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = t, 4*g = -4*t. Suppose -9*v + 44 + 28 = t. Let f be 12\/7*(-49)\/(-14). What is the greatest common divisor of f and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*v**2 + 426*v**2 - 92*v**2 - 89*v**2 - 55*v**2 - 100*v**2 - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*(sqrt(700) + 3) + 4 + sqrt(70)\/(sqrt(90)*-6).\nAnswer: 20 + 899*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -27*w**2 - 8. Let x(j) = 675*j**2 + 198. Let k(l) = -99*d(l) - 4*x(l). Let q(y) = 13*y**2. Give 6*k(z) + 13*q(z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 11*q**2 + 6*q**2 - 66 + 3*q**2.\nAnswer: -q**2 - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 3*y**2 - 3. Let z(n) = -4*n**2 + 154*n + 158*n - 312*n - 2*n**3 + 3. Give -5*a(b) - 4*z(b).\nAnswer: -2*b**3 + b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 32*y**6\/3 + 672*y**5\/5 + 481*y**4 + 280*y**3 + 50*y**2 + 864. Factor v(k).\nAnswer: 4*k*(k + 5)**2*(4*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2734 rounded to one dp?\nAnswer: -20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (399\/(-24))\/((-4326)\/9888)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 + -2.74. Let o = 2 - g. Let m = 14 + -13.9. What is the closest to m in 1, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/6 and (-93)\/(-10) + (3 + 6)\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/178200 and 43\/600.\nAnswer: 178200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 (base 15) in base 16?\nAnswer: 14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2085 and 7152245.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, s: 13}. What is prob of sequence uus?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -0.5. Let t = -0.62 + o. Round t to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 66, 74, 86, 102, 122?\n\"Answer: 2*z**2 - 2*z + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -5. Let k be 1\/(-4) + (-38)\/f. Factor -4*d - 11*d**2 - 1\/2 - k*d**4 - 12*d**3.\nAnswer: -(d + 1)**2*(3*d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 2*z**2 + 2*z - 1. Let k(d) = 4*d**3 - 29*d**2 - 5*d + 39. Let r(w) = -k(w) + 5*n(w). What is r(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117894 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 262*n + 12809. Calculate v(300).\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szzszszssgzzzzzzz. What is prob of sequence zzss?\nAnswer: 55\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 106 = 3*n - 190, -448 = -5*n - 3*t. Suppose -3*g = -6*g + 264. Calculate the remainder when (-1)\/(-1 + g\/n) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 5*s - 4 + 4 + s + (1 + 3 - 3)*(-2*s + 3*s + s) + 21 - 21 - 8*s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4675 - -4681. Let k(a) be the first derivative of 1\/4*a**4 - 9\/2*a**2 - 3*a**3 + 1 - b*a. What is k(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1098, -5, -10, 20 in descending order.\nAnswer: 1098, 20, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29925*w**3 - 5347*w.\nAnswer: -179550*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - ((-7 - 11) + -30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13*1702288.3\nAnswer: 22129747.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145*d**2 + 878*d**5 - 35*d**2 - 725*d**5 wrt d?\nAnswer: 9180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/78 and -27\/169?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 30 = 4*u. Suppose 2*k - 4*h = -h + u, -2*k = -5*h - 14. Solve -k*i - b + 5 = 0, -7 = -5*i + 5*b - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/30 + i**4\/24 - i**3\/2 - 2*i**2. Suppose -4*x + 12 = 3*b - 5*x, 0 = -b - 3*x + 4. Is z(b) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anqf when four letters picked without replacement from nfnfqqnqqqqqnnnqaqn?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 630\/9402371 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 94\/18 - (-8)\/(-36). Suppose -22 = -2*x + 3*f + n, 4*x - 5*f = 53. Calculate the highest common divisor of x and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -25*d**3 + 4*d - 3. Let r be l(1). What is the remainder when 46 is divided by ((-40)\/16)\/(5\/r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(272) + 1)**2 - ((sqrt(272) + 0)**2 + 3 + sqrt(272)).\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -10*i**2. Let f(v) = -2076*v**2. What is l(f(p))?\nAnswer: -43097760*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6)\/((-4)\/(-6)). Suppose -2*h = 2 - 0. Is j < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13581.038958 - -13581. Let h = x + 0.039. What is h rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*p + 170 = 501*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = -h - 3*t, -t = -3*h - 5*t - 1099. Let f = -181 - h. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46447364.4 rounded to the nearest 1000000?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/104, 1, -352\/15, 0.2?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 20*b - 30. Let f be 0 + 16\/(-15) + (-4)\/b. What is the nearest to -0.2 in f, 5, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2122 + -4033231?\nAnswer: -4031104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*u - 3012 = 4064 for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + t + 8. Let n = 12 + t. Suppose -5*y = -3*c - 35 - 63, -c + n = 0. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 4*u**2 - 13*u**2 as q + y*u + w*u**2 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**8\/10080 - l**7\/840 - l**6\/432 + 14*l**3\/3 + 6. Let x(a) be the third derivative of d(a). Factor x(i).\nAnswer: -i**2*(i + 1)*(i + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 20. Let j be f(-3). Suppose -j*k + 20 = h - 6, 0 = 2*h - 3*k + 13. Solve 0 = -v - h, -5*o + 0*v - 24 = -v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b + 16*b + 9*b + 900 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4123932 - -159169.65\nAnswer: 4283101.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11934311*m**2*p**3 + 5010*m**2*p**2 + 550*m**2*p wrt p?\nAnswer: -71605866*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2259911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 440 = 2*v, -580 = -4*v - 2*j + 294. Let y = -69 + v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2105867818 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5369159269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*p**2)*(4 - 4 + 4*p**2) + 5*p**3 - 5*p**3 + 7*p**4 in the form b + j*p**3 + u*p**4 + r*p**2 + k*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 - 120 = 26*g. Solve 9*u = g*u + 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13354, 5, 0.\nAnswer: 0, 2, 5, 13354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/((-7)\/21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 15\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -134, -331, -670, -1199, -1966, -3019?\nAnswer: -4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (24\/(-9) - (-14)\/(-42))*-13. What is the greatest common divisor of 3757 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 37, 24, 3, -32, -87, -168?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 24*v - 2*v + 184 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9700201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2003 or -2004?\nAnswer: -2004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -824 - -3987. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**6*t)\/t*t*t)*t**(-1)\/t)\/(t**(-2)\/t*t**(-6)\/t*t) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8133778*f*w**2 - f*w - 2834583*f - 2 wrt w.\nAnswer: -16267556*f*w - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -3 + sqrt(2448))**2*-1.\nAnswer: -9801 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 4976588.\nAnswer: 4976588.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(114) + (2*(sqrt(114) - sqrt(114)*1 - sqrt(114)) - sqrt(114)) - sqrt(114))\/sqrt(6))**2.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 312 and 34341996?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 374932769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94538 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30 - ((11 - (12 + -14)) + 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001504131532 rounded to 6 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/2, -0.0916, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -40075316\nAnswer: -3\/40075316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 306493 - 306469. Let k = -1 - -1. Sort -4, i, k, 4 in descending order.\nAnswer: i, 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*r**2 - 27997 - 27*r + 0*r**3 + 28025 - 2*r**3.\nAnswer: -(r + 1)*(r + 28)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34106.4 decades in millennia?\nAnswer: 341.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, p: 1, u: 9, v: 1}. Give prob of sequence hvh.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7637*t + 3689*t + 3948*t + 91*t**2.\nAnswer: 91*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.85896053 to three dps.\nAnswer: 8.859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o + 24. Let i = -17 + o. Calculate the least common multiple of i and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:19 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/7 - 129729*c**2\/7 - 74136*c - 518964\/7 = 0. What is c?\nAnswer: -2, 43247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19833 is divided by 8397.\nAnswer: 3039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 17*r - 3. Let s be k(2). Suppose -6 = -2*g + 5*g, 4*w = 2*g - 44. Let j = s - w. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 - -305. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 1 - 1.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*s + 34 + 5. Solve -5*q - 29 = 4*m, 11 = -2*q + s*m - 4*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -17. Let g = f - 2. Calculate the greatest common divisor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 18, -0.4, -0.5, -9, -0.425?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8475526 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d8b (base 14) in base 12?\nAnswer: -6387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((65\/(-10))\/13). Suppose -90 = -12*g + u*g. Solve 20 - g = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2550 and 1738.\nAnswer: 4431900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146.7 - -138. Let a = 6 + y. Round a to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 6*d**2 - 6*d + 5. Let h be o(-5). Suppose 3*x = 2*j - 48, -2 = 3*x + h. Calculate the lowest common multiple of j and 16*(-1)\/(1\/(-1)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1608*k**2 + 32*k - 3 - 3226*k**2 + 7*k + 1637*k**2 as g + m*k**2 + a*k and give a.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 109*d**2 - 3*d + 2. Determine c(1).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -20300?\nAnswer: -324800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 393 + -261. Suppose -13935*m + 904 = -13794*m - 1775. Calculate the remainder when u is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.955 and 0.1.\nAnswer: -0.1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.72965 rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13197 is divided by 104?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192.747 + 194.4. Let f = 0.615 + b. What is f rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 6*q**2 + 5*q - 3. Let r be z(5). Let a(w) = -2*w - 4. Let b be a(-5). Suppose -3*u = -5*c + 20 + 1, 2*c = b. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from giiigiiviiiiivv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1634363 - 12?\nAnswer: 1634351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*s - 18. What is the lowest common multiple of 2 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 524349494162 and -0.09.\nAnswer: 524349494161.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 781226 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -659, -658, -657, -656, -655?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 133 = 549. Suppose q = 14*q - n. Solve -3*k - q = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*r - 4. Differentiate r + 17*m**4 - 7 - 5*m**4 wrt m.\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*t + 802 - 2700 = 0, 0 = 3*p + 2*t - 1420. List the prime factors of p.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 9*k + 22. Let r be x(-6). What is the greatest common factor of r and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 0.13. Let p = 9.96 + c. Let k = p + -9.964. What is k rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s. Let a(z) = 9*z - 14. Let j be a(4). Suppose -113 = -15*m + j. Let f(b) = b - b + m*b. What is q(f(t))?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*t + 3*u, 22 = 5*t + 3*u - 6*u. Let g(a) = -5*a. Let h be g(-1). Suppose -h*o + 2 = -23. Calculate the lowest common multiple of o and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13316 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*62\/(-124)*(-18)\/4. What is the second smallest value in 2, y, 1.642?\nAnswer: 1.642","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -208.1119 and -54.33.\nAnswer: -262.4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1122?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1000000?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 18 + (36 - 23 - (-5 - -48)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5951 and -37998.\nAnswer: -43949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20794 + 18795.2. Round k to the nearest ten.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21135 is divided by 164.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 = -3*y - 4, d + 5*y = -27. Let f be d*(13\/(-2) - 0). Solve -j = -4*p - f, 0 = 4*j - 3*p - 20 - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 + u**5\/6 - u**4\/3 - 5*u**3\/6 - 2*u**2. Is y(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6) - (-20)\/(-6). Let l be (-30)\/(-7) - y\/(-14). Suppose 9*h - 4*h - 3*i = 22, 0 = 5*h - l*i - 26. Solve -h*v = v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051856 divided by -33?\nAnswer: -1051856\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*c - 2 = 0, -4*y - 7*c = -12*c - 2. Let q(k) = 0*k**2 + 2*k - k + 2*k**2 - 4. Let a be q(-4). What is the highest common factor of y and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 623. Let s(q) = -3*q**2 - q - 1243. Give 5*i(j) + 2*s(j).\nAnswer: -j**2 - 2*j + 629","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100561?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/12 - (-153)\/34. Solve 2*g - 6 = -4*p + r*g, -3*p - 9 = 3*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591, -592, -593, -594?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 252, 517, 788, 1065, 1348, 1637, 1932?\n\"Answer: 3*i**2 + 256*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - 1) + 497 + -450?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3684 is divided by 251.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:04 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 b, and 1 t when four letters picked without replacement from wbxwthtblxwt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.005282 litres in millilitres?\nAnswer: 8005.282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 596*c - 597*c, -11 = -4*b + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + (sqrt(5) - (sqrt(5) + 1)) + -5 - (sqrt(5) + sqrt(5) + sqrt(245)*-1 + sqrt(245) + sqrt(5))**2.\nAnswer: -51 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 2\/7, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10675 - 10738 + 7038)*(-c + 0 + 0).\nAnswer: -6975*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166438402?\nAnswer: 2, 13, 6401477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15790 and 68.23.\nAnswer: 1077351.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let m(c) = -18*c**2 - 13*c. Let h(k) = 9*k**2 + 6*k. Let q(n) = 13*h(n) + 6*m(n). Give q(z(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58979 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 409591081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 1730428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 != -6.68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 15 - (-1 - (1 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21146412 from -2.\nAnswer: -21146414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdpcpvvdvvvvvv. What is prob of picking 1 v, 1 c, and 1 p?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 101, 230, 411, 644, 929, 1266?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w + 136. Let j(d) = -9*d - 131. Let x(t) = -2*j(t) - 3*n(t). Let m be x(-12). Sort -5, m, -3 in descending order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*t**5 - 11*t**5 - 12*t**4 - 132*t - 11*t**2 + 49*t**2 + 72 + 33*t**3.\nAnswer: (t - 6)**2*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 125588*q + 125584.\nAnswer: 4*(q - 31396)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/((-4)\/((-24)\/(-9))). Suppose w = 2*v - 0*v. Let n = 1 + v. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 156*q - 2366.\nAnswer: 2*(q - 91)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11504251 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/((-3724)\/16))\/(20\/(-14)). What is the third biggest value in 8, o, 5\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 15 = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 7*i**2 - 9*i - 6. Let c be h(-8). What is the third smallest value in c, 1\/4, -23?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 15) in base 4?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-7 + (16 - 7) + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 5. Let i(y) = -y**3 - y**2 - 4. Let p be i(0). Let k = 0 - p. What is the units digit of v(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggw when four letters picked without replacement from {w: 3, g: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13767 and 175227?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 14. Let x be v(11). Suppose -2 + 0 = -q - x*b, 4 = -4*b. Let f(u) = -q*u**3 - 2 - 3*u**2 + 3 + u**3 - 3*u + 3*u**3. Calculate f(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 2)*(1 - 2). What are the prime factors of (1 + h - -13) + -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 11:45 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 19*c + 6. Let g(f) = f**2 + f - 1. Let m(p) = -6*g(p) - s(p). Find the second derivative of m(v) wrt v.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03989 less than -1101?\nAnswer: -1101.03989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10135540122 + 5?\nAnswer: 10135540131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4))**2*-4 + 3 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*p = 791*p + 1047*p + 25188 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 19*t + s = 12, -5*s = 4*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*s + 71 = 0, 5*o + 0*s - 103 = s. Let h(g) = -41*g - 2 + 0*g - g - o*g. List the prime factors of h(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 62202*x + 58199440\/9.\nAnswer: 2*(x - 279805)*(x - 104)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**2 + 278*q + 12. Give w(-33).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-9 + 6 + 0)*(-3 + 2 + 3) + (-1 + 1 + 2)*(-1 + 4 - 2))*(120*i**5 - 9106*i**3 + 9106*i**3).\nAnswer: -480*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/17 + 86350*g**2\/17 - 931910774*g\/17 - 2796509526\/17 = 0. Calculate g.\nAnswer: -3, 21589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*(-7)\/((-154)\/(-33))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 12310374*l + 12310406*l - 3*l**2 + 16.\nAnswer: -3*l**2 + 32*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, o: 1, j: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgiq when four letters picked without replacement from qgzdzvgqqzdi?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6))\/(-3 - (-43868)\/14622) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 47*t**2 - 332*t + 28. Let j be b(7). What is the nearest to j in -15, 2, -0.5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -5*u + 10*q, -3*q = -290*u + 287*u + 27 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1784*g = -1848*g + 156672. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -61\/9. Let c = 6681\/35 - 953\/5. What is the nearest to p in 0.1, -6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = -16*z. Let u(h) = 2*h**2 + 5*h + 40. Let t(q) = q + 1. Let y(j) = -4*t(j) + u(j). Calculate the remainder when y(z) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -9\/4 (b) -0.38 (c) 1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 16?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggaepvppgpgvgwv. Give prob of picking 3 p and 1 e.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2523 + 1065 + 1458 + 25*u**3.\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 6*l**2 - 7*l + 2. Let v be o(7). Let d be (v\/((-16)\/6))\/((-125)\/(-20)). Is d at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (25 - 13 - (2 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000336777 to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from nognotwyyotytyg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (3 - 0) + (18 - 17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/29583 - 2100029\/5384106. Find the common denominator of m and -21\/11.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -665.08457 + -0.53543. What is y rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47763\/22 - 2169. What is the common denominator of w and 39\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/60 and 97\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*w = 4*c + 119, c = -3*w + 109. Calculate the greatest common factor of c and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138206 and 146414.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5753237*u + 5753237*u + 16*u**2 + 31*u**2 - 39*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1497, 6002, 13511, 24024, 37541?\n\"Answer: 1502*g**2 - g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = -3*h. Let u be (12 + 720\/(-63))*(3\/(-6) - -1). What is the nearest to u in -0.1, h, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8543733, 17087510, 25631287, 34175064?\nAnswer: 42718841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 4301*n**3\/6 + 2788*n**2 - 1781*n - 1. Differentiate q(f) wrt f.\nAnswer: 4301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 6696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*-399*8\/(-60)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4228421, 8456843, 12685265, 16913687?\nAnswer: 21142109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -81\/2*g**2 - 3\/16*g**4 - 9\/2*g**3 - 132 - 162*g. Factor o(m).\nAnswer: -3*(m + 6)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*k + 16 - 16)*(4*k - 2*k - k + (-4 + 0 + 3)*(k + 0*k - 2*k)).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 653.8239 months?\nAnswer: 0.054485325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/20*12\/(-9))\/(10534\/(-1145)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 3:58 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**3 - 2*o**2 + 37*o + 5. Let u(n) = -24*n**3 - 6*n**2 + 106*n + 15. What is -4*u(h) + 11*z(h)?\nAnswer: 8*h**3 + 2*h**2 - 17*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5054035 and -1\/6498045?\nAnswer: 45486315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-330)\/(-4))\/3*36\/30. Let t = o - 28. Solve 4*g + g + 5 = -2*y, -t*g - 20 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfzsxsssxtxsjf. What is prob of sequence fts?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5191006 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63 less than 43617.9?\nAnswer: 43619.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 1 - (-9 + 126)\/9. Let s(u) = u**3 + 17*u**2 + 10*u - 19. Is s(x) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 3*c - 5*c + (-4 + 4 + 2)*(0*c - c + 2*c) - 5*c + 4*c - c to x*c + j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.051, -3847, -0.7, 4?\nAnswer: -3847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 12, 3*a + 20 = -4*p - 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -834926 or 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let w be (-4044)\/(-42) + (-6)\/21. Let d(l) = -w*l - 15*l**2 + 4 + 44*l + 52*l. Calculate d(p(i)).\nAnswer: -15*i**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 39 = 29. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 10 = -4*l - d, -8 = 5*l + 4*d. Let y(h) = h + 8. Let z be y(-5). Solve l = m + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 41 = -3*y - 4*i, 10*y - 3*i = 251. Let q be (-69)\/12*(3 - 155). Calculate the greatest common factor of q and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -549*g**2\/2 - 5655*g + 4081. Find the first derivative of p(x) wrt x.\nAnswer: -549","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 = -11. Suppose b*v = -1 + 17. Suppose 3*j + 2*j = -2*x + 74, -5*j - v*x = -78. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - -2) + -11 + 14 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-2)*-15*(-35)\/(-1050)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -32*h. Let j(w) = 112054*w + 2. What is j(z(v))?\nAnswer: -3585728*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4828693454.\nAnswer: 2, 13, 185718979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 142 = 2*x - 0*u, 0 = 3*u. Let w(k) = 39 + 36 - x + 2*k. Let b(h) = 2*h + 4. Give -5*b(y) + 4*w(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11820?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w - 33. Let f be p(-8). Let q be ((-78)\/(-9))\/(2\/6). Suppose -2*l = 3*t - q, 0 = l - 3*t + 5. What is the greatest common divisor of l and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -71, -5.\nAnswer: -71, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10439.74 times -0.04?\nAnswer: 417.5896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from zaaaazaaaaaa.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (0 + 2)) + -2. What is the units digit of (r\/(-5))\/((-3)\/(-105))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3680, -3690, -3700, -3710, -3720, -3730?\nAnswer: -3740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millennium in months?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.1177 decades in years?\nAnswer: 7981.177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/35271 and 7\/19595?\nAnswer: 176355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 12) in base 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 14*o**2 - o - 13. Let h be p(-14). Is h at most as big as 12\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 54, -4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 11) in base 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5\/7 - 282*z**4\/7 + 552*z**3\/7 = 0. What is z?\nAnswer: 0, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7391 (base 12) in base 9?\nAnswer: -18301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.15. Let p = 0.65 - 0.35. What is the third biggest value in z, 1\/9, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*j*u**2 + 106*j*u + 1687*j - 316*u**2 - 11*u + 2689 wrt j?\nAnswer: 31*u**2 + 106*u + 1687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029444 is divided by 108903.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 196*n**5\/3 - 3948*n**4 + 16508*n**3\/3 + 788*n**2\/3 - 1568*n - 944\/3 = 0.\nAnswer: -2\/7, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/880 and ((-1992)\/192)\/(-31 - -6).\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**5 + 9731*y**4 + 11671*y**3 + 1945*y**2 = 0. Calculate y.\nAnswer: -1945, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 49 (c) 7\/15 (d) 3\/7 (e) -2\/7 (f) -3 (g) 1\/15\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 21 - 34*n + 17 - 52*n.\nAnswer: -101*n - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.3. Suppose 5*q + 17 + 10 = n, -q = 5*n - 5. Let y = -10 - q. Which is the second smallest value? (a) h (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/30*(-18)\/694968. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2 + 2*l - 3*l - 19*l**3 + 6 - 6*l + 20*l**3. Let b be z(10). What is the greatest common factor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t**2 + 14*t + 14. Let r(p) = -2*p**2 + 3*p + 3. Let x(z) = -6*j(z) + 28*r(z). Let d(k) = -2*k**2. Give x(d(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((0 + (4 + sqrt(1300) - sqrt(1300)) - (4 + sqrt(1300))*4) + 3)*4)**2.\nAnswer: 12160*sqrt(13) + 334244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22\/3*j**3 + 8\/3*j**2 + 0 + 10\/3*j**4 + 4\/3*j**5 + 0*j = 0.\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523620?\nAnswer: 2, 3, 5, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2105*-0.01\nAnswer: -21.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 3*o**4 - 4*o**4)*(o - 2*o + 2*o)*(-5 - 1 + 3).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsooasvp. What is prob of picking 1 a and 1 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/(-19 - -9))\/(1925\/(-150) - -12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1229*b**2*k + 1492*b**2 wrt k.\nAnswer: -1229*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from nvcccvqvcvqvcvvqvv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let d(q) = 15522922*q. Give l(d(k)).\nAnswer: -15522922*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 390 = 386 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 18\/7*t**4 - 2\/7*t**5 + 0*t**2 + 0*t + 104\/7*t**3 = 0 for t.\nAnswer: -4, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(15 - 16))\/(((-3)\/(-20))\/(36\/(-105)))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*d + 14. Let y be (-3 - -1)\/((-3)\/6). Suppose -2*p - y*f - f = -10, -5*f + d = -p. Solve p = -3*u + u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-104) - -4)*(-12)\/(-15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 - x**5 + x**5)*(-4 - 3 + 5)*(74 - 107 - 366 - 379).\nAnswer: -3112*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2 - 14*z + 6. Let m(s) = -25*s**2 + 41*s - 18. Let h(p) = 4*m(p) + 11*r(p). Give h(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 220409 = -6*r + 9*r, -r = w + 220403. Round w to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3801904 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -67. Let h = 548 + -324. Calculate the least common multiple of d and h.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 6*t = -t, 14 = 2*p - 2*t. Suppose -5*z - 213 = -4*w, 0*w - 2*w + 109 = -p*z. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -900ac8 (base 13) to base 5.\nAnswer: -1323442431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7990702 by -33.\nAnswer: -7990702\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4091.461 centuries to millennia.\nAnswer: 409.1461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9521*0.09.\nAnswer: -856.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21*(-2)\/(-3))\/2. What is the first derivative of 363*a**2 - 183*a**2 - u*a**4 - 180*a**2 + 20 wrt a?\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 13 = 8*f - 3*f - f, 186 - 14 = 26*f - 2*j for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16468 and 231268.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22071067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose -3*y = -0*y + d*s - 20, -5*y = 5*s - 30. What is the third derivative of 7 - 7 + 19*r**3 - 10*r**2 - y*r**3 wrt r?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 + 8*v + 3*v to a*v + m and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2607654 and 103\/18?\nAnswer: 7822962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**2 - 96*z + 2. Determine o(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123240 and 1355640?\nAnswer: 1355640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555156230 and 17070?\nAnswer: 5690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.25 (b) -2.2 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 16*v + 28. Let x be u(0). Suppose 0 = 17*w - 13*w - 28. What is the highest common factor of w and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17500 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 2461\/25823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 659.8743ml?\nAnswer: 0.6598743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:03 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, 0, 1656, -4720?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -96*d**2 - 17282*d - 353. Give n(-180).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -75936695751 from -0.3.\nAnswer: 75936695750.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**2. Let m(k) = -18*k**2 - 10. Let d(s) = -s**2 - 1. Let g(w) = 20*d(w) - 2*m(w). Give g(y(i)).\nAnswer: 784*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 1 c when three letters picked without replacement from ddadslsdllldddsddc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2422\/(-6864) - (-46)\/(-759) and 97\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1896 divided by -112632?\nAnswer: -79\/4693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 277517?\nAnswer: 4\/277517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*j + 47 + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215168253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 695466769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:04 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -25. Suppose s*x + 175 = -5*x. Calculate the common denominator of (x\/(-63))\/(2\/3) and 34\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 974*g - 1556. List the prime factors of d(54).\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379067?\nAnswer: 13, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**6*k)\/k)\/k*(k**(2\/3)\/k)\/k*(k**(-1\/3))**(-41) assuming k is positive.\nAnswer: k**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -11848?\nAnswer: 3\/11848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324192 divided by -921.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1415*t - 3 - 2563*t + 5.\nAnswer: -1148*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 - 202*x + 1478. Is o(-75) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9070460 to the nearest 10000.\nAnswer: -9070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 11. Let m be 15\/(-45) - (-29)\/u. What is the units digit of 16\/40 - 296\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwmwxwkxckwxkkkkw. What is prob of sequence wkxw?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -804 - -799.67. What is k rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 17*m**2 - 5146841 + m + 5146836 as r*m**2 + t*m + s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 354, 3, 94, -3, 4, -8.\nAnswer: -8, -3, 3, 4, 94, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a**2 + 5. Let n = 3 - 5. Let i be n\/10 - (-63)\/15. What is the least common multiple of 8 and j(i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100111100001010100 (base 2) to base 15\nAnswer: -85980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3791 + 99*u - 280*u**3 + 141*u + 1894 + 1895 wrt u?\nAnswer: -1680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/135*(3 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199454369 - h + 199454369.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(9\/(-3) - 62692). Let h = p - -114695. Round h to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h. Suppose -2*u = x - 7, -2*u - 2*u + 5*x = -21. Let b(a) = -9*a + 3*a + u*a + 3*a. Calculate c(b(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13457029*g**4 - 16618934*g?\nAnswer: 161484348*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -870\/7 - -124. Let v be (13\/(-6))\/(2\/(-4)). Let x = v + -4. What is the closest to x in -0.5, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 - n**2 - 1 - 2*n**3 + 13*n**3 - 3*n**3 as y + l*n**2 + c*n**3 + m*n and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from izudeuzeipez?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2411287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - 2*i**2)*(49 + 61 - 11) + (-2*i - 1 + 1)*(0*i + i + i).\nAnswer: -202*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -308?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4\/8 - 2133*f**3\/2 - 34197*f**2\/8 + 29889*f\/4 + 10680 = 0.\nAnswer: -5, -1, 2, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**4 + 4969376*h**3 + 79509052*h**2 + 74539680*h = 0?\nAnswer: -1242328, -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(68) + 1*sqrt(68)) + sqrt(68))*-5)\/(-3*(sqrt(4) + sqrt(4)*2) + sqrt(4) + sqrt(484)*1).\nAnswer: 35*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4498 or 4499?\nAnswer: 4498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**3 - 5*d**2 - 5. Let z(s) = 6*s**3 - 4*s**2 - 4. Let p(n) = -1 + 597*n + 10 + 0 - 596*n. Let f be p(-4). What is f*z(l) - 4*q(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by (-5)\/15 + (-48)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n. Let d = -15 + 38. Let i(f) = -23*f + 2*f**2 + d*f. What is u(i(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {c: 2, d: 2, s: 4, e: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277 by 625.\nAnswer: 277\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27364)\/5*10\/4. Let b = -24132 - o. Round b to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53383 - 21\nAnswer: -53404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*(-256)\/(-40). Let x = m + -12. Suppose -x*y - 4 = -5*y. Solve -y*i - 9 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25358, -50775, -76184, -101579, -126954, -152303, -177620?\n\"Answer: m**3 - 2*m**2 - 25418*m + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -8326.97.\nAnswer: 33307.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(180)*-1))\/((-5*sqrt(36)\/sqrt(4))\/(sqrt(6)\/sqrt(2)*1))*-2.\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 44 = 4. Is (-12)\/60 - 22492\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -2*v**5\/5 + 6*v + 8. What is the derivative of c(n) wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.5 or 54?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/(2\/16*14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2 + 79280*y + 4584784 = 0 for y.\nAnswer: -19762, -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 1, j: 1, q: 3, c: 11}. What is prob of picking 1 c and 1 s?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007826492703 to four dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*t = 104*t - d - 13, -4*t + 4*d = 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/17)*t*t**3*t*t*(t\/(t*t*t**1)*t)**(-36))**45)**(-4\/15) assuming t is positive.\nAnswer: t**(-8544\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - 40?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 393*x + 386*x - 7*x**2 - 782*x in the form l*x**2 + j*x + q and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*d + 5 + 1)*(0 + 2 - 4)*(4 - 4 - 1)*(4 - 5 - 3) to the form l + m*d and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.522 - -0.122. Let z = -29 + 18. Let s = u - z. Sort -4, s, -0.5.\nAnswer: -4, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*-1*sqrt(84) - 1*sqrt(84)*-2)\/(sqrt(36)\/(-3*2*sqrt(3) + sqrt(3))))**2.\nAnswer: 300*sqrt(7) + 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + 46. Suppose 2*g = 601 - p. Is ((-2)\/3)\/((-4)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -378532, -1514143, -3406828, -6056587?\n\"Answer: -378537*x**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f = 368 - 1008. Calculate the highest common divisor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 36 = -5*o - 2*g, 0 = 4*o + 5*g - 76. Solve -2*c + 16 = 2*c + 2*v, -c + 4*v = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + 0*z - z - 4*z**2)*((-2 - 1 + 1)*(-3*z + 2*z + 0*z) + 2*z + 2 - 2 - z + 2 - 2 - 6*z - 4*z + 12*z).\nAnswer: 5*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b - -4?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0 - 1) + 4. Let s(g) = -g + 6. Let u be s(m). Suppose 0*k + 4*k - 56 = u. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1196*t + 123. Is h(-29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177016 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18*q + 83. Calculate a(-19).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 83*f - 83*f. Let n(g) = 3*g. Give n(a(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u + 493 = -19*u + 26*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203850678*r**5 + 1080441*r**2 + 6.\nAnswer: 12231040680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 17*v**3\/3 + 9*v**2 + 3*v - 43. Is 17 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -304, -303, -310, -331, -372?\n\"Answer: -r**3 + 2*r**2 + 2*r - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yykykyy. What is prob of picking 1 y and 1 k?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**3*q*(((q**(-14)\/q)\/q*q)\/q*q)\/q*q assuming q is positive.\nAnswer: q**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 53.86?\nAnswer: 107.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/28594 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 30. Suppose 5*c = 5 + r. Suppose 2*h = z - 133, -2*h - h - 396 = -c*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 23*h - 188. Calculate a(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (7 + -7)) + 8 - ((8 - 2) + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -1, -4, 3 in ascending order.\nAnswer: -4, -3, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444770*u**3 - 153 + 153 - 391417*u**3.\nAnswer: -836187*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 607*i + 646*i + 43*i**2 - 1252*i - 57*i**3 in the form k*i + s + w*i**3 + v*i**2 and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from {a: 1, h: 2, o: 4, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/3 + 13\/(-1). Let y(f) = f**3 - 10*f**2 + 4*f - 20. Let u be y(10). Let j = u + a. Solve -5*b - 7 = -2*q, -j*q - 19 = -2*q + b for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -2\/7, 2\/19 in descending order.\nAnswer: 64, 2\/19, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((108\/56)\/(-9))\/(22\/(-264)*12)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 688*y\/5 + 29584\/5.\nAnswer: 4*(y + 86)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 154?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1131*v**2 + 3*v + 6. Let t be h(-2). Suppose 5*a + 1906 = -t. Let x be (-5)\/(-15) + 3\/((-9)\/a). Calculate the highest common factor of 39 and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 51, -1, -17, 5.4, -15\/8?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)\/y)**(-32) assuming y is positive.\nAnswer: y**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*o**4 - 146*o**4 + 296*o**4 + 65 + 354 + 150*o**4 with respect to o.\nAnswer: 1636*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 2629893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8489, 16792, 25109, 33446, 41809, 50204, 58637, 67114?\n\"Answer: i**3 + i**2 + 8293*i + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6 = 12. Suppose 0 = -k*u + u + 1544. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 17. Suppose -4*o + 30 = -5*i, -3*o - 5*i + 1 = -4. Let n = -1 + 0. Put o, h, n in ascending order.\nAnswer: n, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 522 - 537.44. Let o = 16 + u. Round o to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*j**2 - 284\/11*j + 282\/11 = 0. Calculate j.\nAnswer: 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 3*f**8\/112 - 7*f**5\/30 + 24*f**2. What is the third derivative of c(b) wrt b?\nAnswer: 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -678*a + 179*a**2 + 678*a as x*a + u*a**2 + v and give u.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -142 times -5\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (201\/(-134)*24\/63)\/((-4)\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-7 + (11 - 6)) - -6) + (-8)\/32.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -429 - -429.000034. What is z rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -3.1. Let t be 2\/6*(-3)\/(-7). Which is bigger: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 25. Let o be (-384)\/84 - 4\/(-7). Does 9 divide i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*a = -3, 0*a = -4*f + 2*a - 66. Suppose -5*x - 3*k + 14 = 0, 4*x + 11 = -0*k + 5*k. Let o(y) = -19*y. Let u be o(x). Is f bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + -2 + 0 - (2*sqrt(245))**2.\nAnswer: -982 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, e: 9}. What is prob of picking 3 w and 1 e?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -35. Let i = 7 + u. Which is the third biggest value? (a) 0.4 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.07 (b) -3 (c) 171921\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 15*u = 30. Suppose -g + 5*n + 4 = -u, 0 = 3*g + 2*n - 47. What is the second derivative of 3*o + g*o**2 - 5*o + 2*o - 7*o wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88564087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**3 + 22*o - 4*o**2 - 72*o + 24*o**3 - 12 + 30*o.\nAnswer: 4*(o - 3)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10.14. Let a = -0.26 - y. What is the second smallest value in 4, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644455?\nAnswer: 5, 7, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (442*w + 75 + 46 - 444*w)*(-29*w**2 + 13*w**2 + 14*w**2).\nAnswer: 4*w**3 - 242*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14\/2*2\/(-7)*(-168)\/(-48)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.9 + 16. Let s = 0.1 - l. What is the nearest to s in -1\/4, 3, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1541899314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -152, 0, -4 in decreasing order.\nAnswer: 3, 0, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 39.3873 months?\nAnswer: 0.3282275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looo. What is prob of picking 2 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4124*d**2 + 5*d**4 + 0*d**3 - 1376*d**2 - d**3 - 5 - 1376*d**2 + d - 1376*d**2 to g*d**4 + a*d**2 + p*d**3 + r*d + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4560 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -324580*h**3 - h**2 + 7*h + 8*h**4 + 324580*h**3 to the form r*h**3 + b + l*h + p*h**4 + m*h**2 and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:37 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - 23*d + 40. What is n(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 3*f + f**2 + 2*f**4 + 56 to l*f**2 + i*f**4 + g*f**3 + u*f + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**2. Let b be w(-1). Let y(m) = 2*m - 1. Is y(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 99. Suppose -4*t - 5*f - r = 0, -4*t - 2*f = f + 23. Let g be (1 + 3\/t)*0\/(-9). What is g rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79465.64ng to micrograms.\nAnswer: 79.46564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -3, -18.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/7, -2, 5, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - -0.05. Let l = n - 0.06. Sort l, -3, 2\/11 in descending order.\nAnswer: 2\/11, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*i*t - 2156848*i + 20901*t wrt t.\nAnswer: -34*i + 20901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185.218 - 186.218. Let g(y) = -y**3 + 6*y**2 - 5*y - 5. Let l be g(5). Which is the closest to w? (a) l (b) 5 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 + 75*a**2 + 417*a - 33. Calculate m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*p**3 - 69*p**2 + 120*p + 48.\nAnswer: 3*(p - 4)**2*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - -4.02?\nAnswer: 37.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -1) + -11 + 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 2. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 25849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 9*w**2 - 16*w - 14. Let h be o(6). Let m(g) = 3*g**2 + 4*g. Let q(b) = -7*b**2 - 9*b. Calculate h*q(j) - 5*m(j).\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 10875.\nAnswer: 10876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9598344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + w - w**2 - 4*w**2 - w - 2*w**4 + 2 in the form q*w + d*w**2 + f*w**3 + g*w**4 + b and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 33, 105, 2, 1, 20.\nAnswer: -3, 0, 1, 2, 20, 33, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 6:33 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -419 - -3779\/9. Determine j so that 16\/9*j**3 + 2\/3*j**4 - 16\/9*j - o + 2\/9*j**2 = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Solve -g - 2*g = d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772988 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30 - -30 - -2 - -24\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3548.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1445418)\/(-22620)*20\/36?\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 1. Let w(z) = -3*z**2 - 10*z + 3. Let u(n) = -n - 6. Let b be u(-5). Let d(j) = b*w(j) - 6*r(j). What is the units digit of d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(2*h**3 + 2*h**3 - 3*h**3)*(-294*h + 2 - 320*h + 684*h) to the form w*h**2 + g + x*h**3 + y*h**4 + t*h and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-4)\/16)\/(3\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -530214 (base 12) to base 11\nAnswer: -8127a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 242899 = 243049 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221101022 (base 3) to base 2.\nAnswer: 100100001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j - 1. Let c be k(13). Suppose -r = -21*r + 60. Suppose 42 = r*q - c. Calculate the remainder when 92 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 2*p. Let t(b) = -b**2 + b - 90. Let l be t(p). Let o be ((-6)\/3)\/(-2)*l. What is o rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 4*x + 7. Let z be w(3). Let k be (4\/z)\/((-7)\/(7\/2)). Which is the closest to -3? (a) -4 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2174*l - 2179*l + 78*l**2 + 4353*l.\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/520 and -101\/1872?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = z - o, -3*o + 114 - 119 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2) + 0\/5. Suppose -2*a - 27 = 5*g + b*a, 2*g + a + 9 = 0. Is -491*(6 + g + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 7*d**2 + 4*d - 7. Give l(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -140*v**3 + 7*v**2 + 71*v**3 + 4*v + 0 + 70*v**3 - v**2 - 4. Suppose -25 = 5*s, 4 = 3*j + 2*s + 29. Determine k(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l**2 - 2*l - 7. Let r(a) = -11*a**2 - 2*a - 6. Let c(m) = 6*r(m) - 5*t(m). Suppose -6*j + 11*j = -5. Determine c(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6775178 months in decades?\nAnswer: 0.013979315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66761 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(20\/6)*(-52)\/78?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1091673577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**2 + 0 - 1\/6*q**3 + q. Calculate w(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3807*z**2 + 11203*z + 22. Calculate v(3).\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217.08 - -217. Which is the third smallest value? (a) 5 (b) -1 (c) 0.05 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 511\/137 or -1?\nAnswer: 511\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 4*a**2 - 8*a - 2. Let c be r(-7). Let g be (3 - 3) + (1 - -2). Suppose 0 = -4*f - 3*x + 296, -7*f + g*x + c = -4*f. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013232403 rounded to 6 decimal places?\nAnswer: 0.001323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)*x**13)**(2\/5))**(-42) assuming x is positive.\nAnswer: x**(-5544\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91) - sqrt(91)*1)*4 - sqrt(91)))\/(sqrt(28)*4 - -2*sqrt(1008)).\nAnswer: 5*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one quarters of a microsecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38817, -38838, -38871, -38922, -38997, -39102?\n\"Answer: -g**3 - 14*g - 38802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1994.018116 - -1994. What is o rounded to four dps?\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w**3 + 7*w - 8. Let y(z) = 7*z**3 + 6*z - 7. Let g(x) = 46*x + 270. Let t be g(-6). What is t*s(b) + 7*y(b)?\nAnswer: b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukuz when four letters picked without replacement from kzzsuuull?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 10452.6329.\nAnswer: -10452.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emm when three letters picked without replacement from beeebbebbemmebbmeb?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*1*(-5)\/(-20)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Let z = g - 0. Which is the nearest to 1? (a) z (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 19. Suppose -4*p + 100 = -2*v, -5*v - 333 + u = 2*p. Let n be v\/(-14) - (-8)\/28. What is the greatest common divisor of 10 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = 8. Suppose -x + 17 = 5*m - 0*x, 4*x = g*m + 2. Let a = 6 - m. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)*(-3 + 0). Suppose 0 = 2*n + 2*n + s - 16, -j*n - 5*s + 12 = 0. Find the second derivative of 0*r**2 + 2*r + 0*r**2 + r**n wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40612 (base 9) to base 8\nAnswer: -64165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-29)*1642518\/(-109872). Let q = -96\/763 + l. Calculate the common denominator of 119\/6 and q.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 5082*q**2.\nAnswer: 5082*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 + 52 + 4*c**2 - 4*c**2 + 2804*c**3 in the form o*c + u + n*c**3 + k*c**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330376725 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**2 + 56*t + 9. Does 6 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -197 - 221010?\nAnswer: -221207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9877720 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 344 + 394 = -271*t. Put 0, 5, t, -68, -1 in decreasing order.\nAnswer: 5, 0, -1, t, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 71620 = -52*n + 17293. What are the prime factors of n?\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -4*k - 2*a, -2*k - 58 = -3*a - 8. Let n(u) = 5*u**2 - 1. Let r be n(-1). Suppose -r*j - 16 - 64 = 0. Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236 - -233. Sort n, 3, -13, 2 in ascending order.\nAnswer: -13, n, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51572737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:24 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from {g: 2, m: 5, b: 1, i: 11, v: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3672126 and 6732231.\nAnswer: 40393386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4241067.\nAnswer: 3, 1413689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153145, 305413, 457681, 609949, 762217, 914485?\nAnswer: 1066753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605 and 3520.\nAnswer: 38720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 3*s**3 - 2*s**3)*(-5 + 5 + 3*s) + (3 + 0 - 1)*(-16*s**3 + 16*s**3 - 9 + s**4).\nAnswer: -7*s**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 + 147*o + 859. Calculate h(-35).\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1 + (1 - 2). Let k = 3 + -1. Suppose k*s + 3*g + 4 - m = 0, 0 = -3*g + 9. Let o(x) = -x**3 - 6*x**2 - 4*x + 4. Determine o(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 3 - 3)*(-21 + 1 + 126 + 6) to the form r + g*q and give g.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 87513 and 189.79.\nAnswer: 87702.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 3*t**2 + 7*t + 50. Let z be o(-4). Suppose -49*f**2 - 36*f**2 + 8*f**5 - z*f**4 + 28 + 122*f + 95*f**2 - 130*f**3 = 0. What is f?\nAnswer: -2, -1, -1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4475002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 2, -3, 0, 9, -14 in descending order.\nAnswer: 10, 9, 4, 2, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 6*j**2 - 3*j**2)*(-2*j**2 + 2*j - 2*j) + 13008 - 23*j**4 - 13008 - j**4 - 10*j**4 + 4*j**4.\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.2378 * -0.1.\nAnswer: -1.02378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:43 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 38. Suppose -3*c + 25 = -29. Suppose 5*b - 4 = -v - 10, c = 3*v + 3*b. Calculate the remainder when y is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4 = 13*a + 14*a - 23*a, -g = 7*a - 38 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 5 + 5. Let s be (5\/(-10)*-2)\/((-2)\/12). Let v be n\/(-8) + s\/(-24). Which is the nearest to 1? (a) v (b) 0.4 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/15 + 2\/(-15) + 0. Which is the nearest to 0.3? (a) -0.3 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 137 + y - 77 - 25*y - 62. Let f(o) = -24*o - 3. Determine -3*d(j) + 2*f(j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1297, -5, 10, -1970, -1 in decreasing order.\nAnswer: 10, -1, -5, -1297, -1970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4 = p, -2*t - 3*p + 7 = 2*t. Let a be 36\/(-27)*(-6)\/(-4). Let d be (-2)\/2*a\/(-34). Which is bigger: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 0\/1 + 3. Suppose -c*p - 7*h + 2*h - 16 = 0, -2*h - 16 = -2*p. Suppose 3*w - 19 = 2*f, 0*w + w - f = 8. Are p and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1 + u**2 + 1. Let q be 1\/4 - 6\/24. Let b(y) = 3*y + 4*y + q*y - 6*y. Calculate b(s(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5551160100 to the nearest one million.\nAnswer: 5551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -19, -33, -53?\n\"Answer: -3*t**2 + t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -6*i - 77. Let z(b) = -b - 7. Let n be z(i). Suppose n = -f - 4*v + 19, v = 2*f - 6*f + 46. Solve f = -3*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 304*a + 304*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k = -18 - 80 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 1. Let n(f) = -4*f**2 + 2*f + 2. Let v(m) = -5*h(m) - n(m). Factor v(c).\nAnswer: -(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*1 + sqrt(228) + sqrt(228) + sqrt(228) + (sqrt(228)*-1 + sqrt(228))*-5)\/(sqrt(108)\/(sqrt(72)\/sqrt(8))*4*3).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 8 = 2*c, 5*c = 4*j - 16 - 1. Let a = 7 + c. Suppose 2*p - 16 = -a*p. Solve -x = p*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 - 7. Let y(q) = 4*q**2 - 6. Let x = -44 + 51. Determine x*y(d) - 6*a(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 7369*b + 7379*b - 32 = 0, -10*k + 3*b + 11 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.055 + 0.055. Let r = -61 - s. Which is the second biggest value? (a) -36 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210363 rounded to the nearest 100?\nAnswer: 210400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 - 3*v. Let s = -4 + 6. Let n be k(s). Solve 2*u = 7*u + n*o + 21, 0 = -3*u + 5*o + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12777a - 990?\nAnswer: -12865a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 1. Let y be q(1). Let c = 6 + y. Let k be (1 + -1)\/(24\/(-12)). Solve k = -2*w + c + 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211201220122 (base 4) to base 6\nAnswer: -550502014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 15 + (21 - 17) - 12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2\/9)\/r)*r*r\/(r*r**7))\/(r**(2\/9))**(-7\/5) assuming r is positive.\nAnswer: r**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35\/24 + -4\/3. Let f = 1765\/9 - 149467\/765. Let o = 26\/17 - f. Sort i, o, -3 in increasing order.\nAnswer: -3, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 4*m + 13, -m - 9 = 3*v + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*k - 10 = 0, -7*y + 2*y + 4*k - 6 = 0. Let r = -1 - y. Solve 4*p - r = 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 55, 3, -4\/579, -0.1 in ascending order.\nAnswer: -1, -0.1, -4\/579, 3, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 26, 100, 200, 326, 478, 656?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099348.\nAnswer: 2, 19, 23, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(13 - (2 - 2))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -58248 divided by 1618\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -5 + sqrt(2)*-2)*2*6)**2.\nAnswer: 4608*sqrt(2) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -20500701?\nAnswer: 20500703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090142 = -450*p + 1639108. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2344413 - -3043?\nAnswer: -2341320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n - 47. Let i(s) = 3*s + 16. Let x(r) = -17*i(r) - 6*q(r). What is the derivative of x(t) wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16585 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1824 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292951 is divided by 10820?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)\/l)\/(l**(-2\/7)*l)*l**(-13)\/l**(-2) assuming l is positive.\nAnswer: l**(-1499\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + 30. What are the prime factors of u?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**3 - 14. Let l(i) = -i. What is m(l(t))?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.68 + -6.7. Round w to 1 decimal place.\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/243 + -253\/1215. Suppose 0 = -3*l - 2*l + 10. Let n = l + -4. Which is the third biggest value? (a) 0.3 (b) w (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3066473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5043*l**3 - 222876*l**2 - 43344*l - 2112 = 0.\nAnswer: -44, -4\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4927180, -4927179, -4927178, -4927177, -4927176, -4927175?\nAnswer: -4927174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 14 - 9. Which is greater: -1\/10 or t?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 3*m + 0 + 1\/6*m**3 - 2*m**2. Let q be t(7). Solve 2*x = q*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -29. Which is smaller: -14 or z?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*f - 50, 4*f = -4*q - f + 40. Find the common denominator of ((-110)\/(-9))\/(32\/(-24)) and 101\/q - (-1)\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 218 (b) 4 (c) 1004 (d) 3 (e) 2\/3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 491833437 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 67 = 7. Suppose 4*c - 42 + 8 = -5*f, -66 = -3*c + 3*f. What is the remainder when i\/(-4)*(-5 + 1) is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3\/5*n - 3\/5*n**3 + 11\/10*n**2 + 0 + 1\/10*n**4 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74 - -24. Let n be 8\/(-14) + 252\/w. Suppose m - 104 = n. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 21*v - 30. Let s = -11 - -35. Let r be x(s). Calculate the highest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41980498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 18*f**2 + 35*f - 305. Calculate s(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -21. Suppose 0*f - 20 = -k*i + 5*f, 4*i = -f + 84. Let q(y) = -y**2 + 8*y - 4. Calculate the remainder when i is divided by q(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:34 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -9. Suppose -69*k - 394 = -73*k - 5*j, 2*k - 152 = 5*j. Calculate the highest common factor of a and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6498629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31429 is divided by 1013.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -34 + -19 + (1 - 2) + -4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 52, -24.08 in decreasing order.\nAnswer: 52, 0, -0.5, -24.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q. Let s(l) = 7*l + 10. Let h(k) = 9*k + 20. Let c(x) = 35*x + 83. Let i(f) = 2*c(f) - 9*h(f). Let v(o) = 5*i(o) + 7*s(o). Calculate v(j(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25223415?\nAnswer: 3, 5, 7, 233, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1062126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.8 - 17. Let m = -0.13 - -0.33. Let b = m + c. What is the third biggest value in b, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79670351282 and 2.\nAnswer: 79670351284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**2 - 3*t + 3. Let z be r(-4). Suppose 8*s + 0 = 24. Sort s, -4, z in decreasing order.\nAnswer: z, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131593 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1*(-4)\/2). Let v = -125 - -127. Suppose -4*j = 2*m + 12, 0 = -m - 0*m - j - 5. Sort v, m, t in decreasing order.\nAnswer: v, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**2 + 50*n + 125 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8712*g + 4913. List the prime factors of a(-8).\nAnswer: 74609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1498, 1464, 1320, 1012, 486?\n\"Answer: -9*n**3 - n**2 + 32*n + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-14)\/(-12) + (-2583)\/(-54). Let j = 52 - a. Solve 0 = -0*o + j*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:39 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3) + 1\/3. Suppose 8*s - 24 = -0*s. Suppose 5*l - s*h - 20 = -h, 4*l + 4*h = -12. Which is greater: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - (-6 + 58\/18). Solve 2*z - g = -z + 5*u, -2*z + 1 = -3*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-5 - -1) + 18. Let k = -10 + u. Is k not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33666 by 120.\nAnswer: 5611\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -877*y**2 - 63*y + 79. Differentiate s(t) with respect to t.\nAnswer: -1754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5959, 5865, 5771, 5677, 5583, 5489?\n\"Answer: -94*s + 6053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*((56763\/(-85))\/(-53) + -21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.44 * 7.8\nAnswer: -34.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 500870.\nAnswer: -1001740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302 and 1386784.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/23070 and 25\/1068141.\nAnswer: 10681410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*2163\nAnswer: -3893.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -52*u**6\/15 - u**4\/3 + 2180*u**3\/3 + 3179*u. What is the second derivative of d(r) wrt r?\nAnswer: -1248*r**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = 14*d + 39 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2207?\nAnswer: 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 112 = 2*k. Suppose k - 44 = 5*d. List the prime factors of (d + 3 - 6\/(-1))*27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 3*r**2 - 2*r**2)*(-113*r + 142*r + 173*r) + r**3 - 2*r**3 - r**3.\nAnswer: 1412*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*2 - (-29)\/((-232)\/48). Let l(g) be the second derivative of 1\/168*g**7 - 1\/40*g**5 - 4*g + 0*g**4 + 0 + y*g**2 + 1\/24*g**3 + 0*g**6. Factor l(i).\nAnswer: i*(i - 1)**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 23*m**2. Let y(a) be the first derivative of -81*a**3 - 6825. What is g(y(b))?\nAnswer: 1358127*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -66.12 (c) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 113085 divided by -3231\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.066 in 1\/3, 2\/3, 26\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 10, m: 1, l: 1}. Give prob of sequence ngn.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n. Let o(p) = -4*p**2 + 21*p**2 - 10*p**2 + 26*p**2. Determine t(o(w)).\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + 0 - (8 + 5 + -8)) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 249, 251, 253, 255, 257?\n\"Answer: 2*j + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 130870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-6 - (-7 - (10 - 6))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 + 4 - 4 + (-2*s**3 + 3*s**3 - 3*s**3)*(0 - s + 0) - 3*s**4 + 7*s**2 - 7*s**2 - 5*s**4 - 549 + 1654*s**2 - 1654*s**2 + 7*s**4.\nAnswer: 5*s**4 - 549","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-1))*14\/(-161)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 17*n**2 - 19*n - 6. Let p be i(18). Let d = 26 + p. Suppose -d*f + 16 = -4. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120427*u**2 - 124*u - 270999286 wrt u.\nAnswer: -240854*u - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 600*x**3 - 30*x**2 - 6*x - 6. Let m(n) = 50399*n**3 - 2525*n**2 - 505*n - 505. Give -505*j(h) + 6*m(h).\nAnswer: -606*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696397, 1392838, 2089387, 2786098, 3483025?\nAnswer: 4180222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 6447?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87089 and 9563.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15845538 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 10*x - 6*x. Put -3, 3, x in increasing order.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4*n + 5*g - 11, -2*n = 4*g - 10. Suppose 4 = -2*f + 4*f. Find the third derivative of -3*m**f + n*m**2 - 4*m**2 - m**3 - m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a + (6 + 0 - 2)*(-a - 3*a + a))*(0*a**2 + 2*a**2 + 0*a**2).\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*l - 6 = -2*q, 0 = -3*q - 3*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 51, 271\/3, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/16 + (-458)\/8. Let x = 112 + u. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221.83616 rounded to 1 decimal place?\nAnswer: 1221.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 9*b**2 + 4*b. Let a(l) be the second derivative of -19*l**4\/12 - 3*l**3\/2 + 89*l. Calculate 4*a(r) + 9*m(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.3 (b) 73 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**2 + 10*k - 34. Let q be n(-8). Let d = 663 - q. Calculate the remainder when 19 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90429 divided by 30143?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004621 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2, t: 2, f: 4, j: 3, r: 3}. What is prob of sequence jt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvz when three letters picked without replacement from vvzvz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178\/3 or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.06 (c) 4 (d) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 4, 2, 0, -2, -4?\n\"Answer: -2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*z - 8, 2*z + 4 = -3*i - 0*z. Factor i*y + y**3 - 3*y + 3*y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 8. Let l be r(5). Let s(c) = -12*c - 1. What is the tens digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -222 in 0.2, -4\/7, 8, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(108)*-3 + 0 + (sqrt(108) + sqrt(108)*1)*3)**2 + -5.\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-v + 0*v - v) + (-1 + 0 + 2)*(3*v - 3*v + 2*v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-36)\/10*(-340)\/(-4692)*-23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -4 - -2) + 13 + -2 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (2\/6 - (-21)\/(-9)). Let x = 20.2 - 20. Which is the fourth biggest value? (a) -1 (b) 0.03 (c) n (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*i + 123 = 0, -50 = -5*r + 3*i + 163. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 1. Let a(b) = 484*b**2 + 175. Let d(w) = -a(w) + 4*o(w). Differentiate d(p) wrt p.\nAnswer: -976*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -6*r**2. Let i(t) = -2*t + 98762. What is i(b(m))?\nAnswer: 12*m**2 + 98762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/459 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 115.675 and -514763994.\nAnswer: -514763878.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**3 + 9*s + 3 - 14 - 3*s**3 + 9*s**2. Let b be q(-8). Let d = 30 - b. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-7) - (-27)\/(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*g - 4*a - 9, -g + 15 = 3*a. Suppose -v = 3*v + 3*f - 18, -2*v + 14 = 4*f. What is the highest common factor of v and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 2*r**2 - 2*r - 2. Let t be l(-1). Let o be 3\/(t - (-10)\/4). Solve -o*c - 2*y - 8 = 2*c, -5*y = 3*c + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3685*p - 1347*p + 194*p - 5702*p.\nAnswer: -10540*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 171716 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.021 + -0.121. What is the closest to 0 in -0.4, b, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.2. Let c = 0.5 - s. Let d = -174 - -867\/5. Sort -1, d, c in decreasing order.\nAnswer: c, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 4. Let o be y(-10). Let m be o\/(-4)*8\/6. Find the third derivative of -3*w**m - 3*w**6 - 3*w**6 + 7*w**6 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 580 - 216 = 0. Let c = -62 + q. What is the remainder when c is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and 2.26065?\nAnswer: 5.73935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2387.69 - -2240.611. Let c = -146.665 - 0.335. Let d = c - s. Round d to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*y = -3 - 3, -t - y + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -125?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:44 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/27)\/((-39)\/(1053\/18))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 + 5*o**4\/12 + o**3 - o**2\/2 - 4*o - 6. Let m = 10 - 6. Suppose -m*l + 4*c = -2*l - 28, -3*c = 2*l. Calculate t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - w - 52, -13 = -31*s + 30*s - 7*w for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 6*t + 78. List the prime factors of j(-23).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 7*s**4\/4 + s**2\/2 - 7. Find the second derivative of d(x) wrt x.\nAnswer: 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**6\/120 - 11*d**5\/30 + 2*d**4\/3 - 55*d**3\/6 + 30*d**2. Is a(-23) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 297, 603, 949, 1287?\nAnswer: 1569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1213 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -2, -4, 1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/8 and 51\/350.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/9 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2804698262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide ((-20)\/(-8) - 7)\/((-36)\/27840)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 1151, 3780, 8739, 16802, 28743, 45336, 67355?\nAnswer: 95574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -471\/4 - -118. Let v(c) be the first derivative of 1\/3*c**3 - o*c**4 - c + 1\/2*c**2 - 5. Factor v(p).\nAnswer: -(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -43796\nAnswer: 87592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = s - 11, 4*t - 27 = -5*s - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15586324 - 3?\nAnswer: -15586327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5*y + 12890812*v**4*y**3 + 117*v**2*y**2 + 3*v**2 - 506*v*y - v + y**3 wrt v?\nAnswer: 120*v**2*y + 309379488*v*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(832)*5 + ((sqrt(832) - (-2 + sqrt(832))) + sqrt(832))*-2 + 4*(-1 + sqrt(832)).\nAnswer: -104*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - (-2)\/(28\/(-66)). Find the common denominator of 332\/132 + -7 - g and 4\/93.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1047, -1048, -1049, -1050, -1051, -1052?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3368 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/10 - -4\/5. Which is the nearest to 0? (a) 2\/15 (b) x (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-147)\/(-98))\/(6\/(-4)*(-28)\/((-336)\/162))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 511246 (base 9) to base 12\nAnswer: 127243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-582)\/12*(3 - 1)*-1. Suppose -3*u = -2*m + j, -4*m = -2*u + 8 - 62. Let s = u - -42. Solve -d + 3*f - 4*f = -s, -3*f = -3*d + 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + s + 4 = 0, -75*t - 3*s = -78*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 886436 and 8?\nAnswer: 1772872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 28. Suppose -x = -3*p + 102. Suppose t + 13 = -5*n + p, -2*t - 20 = -2*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -11*s - 104. Let k be y(-10). Put -4, 3, -5, k in ascending order.\nAnswer: -5, -4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 31. What is the units digit of k(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 - (-3 - (-13 + 22))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 310426525*b**4 - 1042*b**2 + 11100 wrt b.\nAnswer: 7450236600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - -6515831833814?\nAnswer: 6515831833813.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 3223, 10822, 25621, 50020, 86419?\nAnswer: 137218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 59529*n + 59526.\nAnswer: 3*(n + 1)*(n + 19842)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v*(v**4\/v)\/v*v)\/((v\/(v\/v**(-2\/9)))\/v**5))\/(((v\/(v**6\/v))\/(v\/(v\/v**(-2\/7)*v)))\/(v**(-1\/5)*v**(-1\/3)*v)) assuming v is positive.\nAnswer: v**(3907\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -45 + 55 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -672 - -1736. Suppose 1448*j = 1444*j + l. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(6*sqrt(24)\/sqrt(3)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79371 divided by 9?\nAnswer: -8819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1960.74 and 0.103.\nAnswer: -201.95622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*g**3*t**2 + 21*g**2*t**2 - 418*t**2 wrt g.\nAnswer: -120*g**2*t**2 + 42*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*t - 345 = 0, -t = j + 3*j - 285. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467 - 3*b**3 - 37032 + 5*b**3.\nAnswer: 2*b**3 - 34565","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -21*k + 23*k. What is the remainder when k is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (12\/(-8))\/(45\/(-240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*p - 25722. Suppose -4*i + p = 5*d, 2*d - 5*i = -0*d + 1695. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {u: 12, z: 3, d: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-184) + (-35)\/(-8) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 47*r - 5. Let x be c(1). Calculate the greatest common divisor of 12 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 5, 101?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 + 8*n + 3. Let k(a) = -2*a**2 + 8*a + 2. Determine -2*g(p) + 3*k(p).\nAnswer: -2*p**3 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*w + 7, 4*t + 3*w - 140 + 117 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -248*w + 196*w + 1400932. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -1787 (c) -1 (d) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 853.9785 micrograms?\nAnswer: 0.0008539785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 33*r - 57. Suppose -69 = -18*b + 39. Let m be (62\/4)\/(((-3)\/b)\/(-1)). Let p be o(m). Put 6, -1\/3, p in descending order.\nAnswer: 6, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -54*q - 3446 + 84302. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -150, -394, -870, -1656?\nAnswer: -2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9338 = -1585*j + 1263*j for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619542?\nAnswer: 2, 3, 7, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2900640526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 4, -47024 in ascending order.\nAnswer: -47024, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.86232 tonnes to micrograms.\nAnswer: 6862320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277.4 - -299.9. Round x to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1) + 5 - 2. Let m be 3\/(-1 + s - -1). Suppose -4*p + 5 = 3*g, 3 = g + m*p - 2. What is the biggest value in 0.2, -2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - n + 32. Let t(w) = -10*w - 30. Let l be t(-3). What is the least common multiple of 32 and a(l)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 32 + 15)*(-2 - 8*c + 48*c + 73*c) to o + h*c and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74915357 is divided by 18728837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4\/4 - r**3 + 3*r + 5. Let l be d(3). Solve 0 = 2*j - 3*s - 3, -l*s + 0*s - 9 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from vppshsjfspf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 - 1225*c**3 - 24815*c**2 + 5500605*c = 0. What is c?\nAnswer: -187, -111, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*x - 9, 2*x = 5*z + 3 + 10. Suppose w + 0 = 5*i + 2, -4*i + 5 = -3*w. Put w, z, 2 in descending order.\nAnswer: 2, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8904 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*q, -5*t + q - 4*q = -73. Let v(m) = m**2 - 11*m - 74. List the prime factors of v(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195363)\/(-1827) - (-456)\/6612?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19867.216451 + -13872.861494. Let g = j + -5989.955. Let s = -4.4 + g. Round s to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 282227081 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2. Let j = 7 - 4. Let r(o) = -o - o + j*o. What is g(r(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:39 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -760 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -1.4 (c) 94 (d) 90 (e) -2 (f) -0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(1\/15)))\/x**(-2\/21)*(x**4*x*x)\/x**23 assuming x is positive.\nAnswer: x**(-1768\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4805 + -4804. What is the closest to n in -0.05, 54, -3\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + p + 9 - 2, -3*p = 3*q + 3. Let d be (-1)\/(-2) - (-21)\/42. Put 5, q, d in increasing order.\nAnswer: q, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-12)\/10)\/(14\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 35*r**2 + 102*r - 4412. What is t(34)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 831?\nAnswer: -831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 12*y**6 - y**3 + 30*y**2 - y + 1. Let j(a) = -a**3 - a**2 - a + 1. Let x(q) = d(q) - j(q). Find the third derivative of x(n) wrt n.\nAnswer: 1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2\/217386935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 34. Let g(f) = 3*f**2 + 1. Let j be g(4). Suppose 5*o - j = 4*u, -2*o - 32 = -6*o - w*u. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -5 (c) -1679 (d) 3 (e) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.6 and -20.36596415897.\nAnswer: -17.76596415897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3727853 to the power of 1\/2, to the nearest integer?\nAnswer: 1931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 54*i**2 - 51*i - 59. What is the remainder when 78 is divided by c(53)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.241 in -5, -4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -28*r + 2. Let p(o) = -3*o**2 + 1. Let q be p(-1). Let w be i(q). Let v = -32 + w. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1619*j**3 - j**2 + 4*j - 4. Let w be a(2). Let u = 22495 + w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/6)\/d*d**(2\/21)*d**(-8)\/(d*d\/(d\/d**(-3\/2))) assuming d is positive.\nAnswer: d**(-173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/9)\/d*d))**44\/(d**(-5\/3)\/d)**20 assuming d is positive.\nAnswer: d**(964\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (147 + -79)) + 175.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89156 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {z: 1, e: 2, j: 3, x: 5, f: 8}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 3, b: 1, p: 4, t: 2, w: 2}. Give prob of sequence xbw.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 153, 1, 1\/4, 1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1613666796?\nAnswer: 2, 3, 7, 19210319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from tcbcctkwwbwkcbcctkw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19634477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*w = 11, 5*k = 9*k - 5*w - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -336674265 rounded to the nearest 100000?\nAnswer: -336700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8735 - 8735 - 7*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/9*9\/(-2). Let p be (f + -2)*(-23)\/(-6). Let l = 30 + p. Is l less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-18))\/(3\/(-6)))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17014513+0.08287\nAnswer: -17014512.91713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -36164*v**2. Let x(f) = -4*f. What is x(h(c))?\nAnswer: 144656*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*8\/(-640)*8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18176248 smaller than 18176247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -w. Suppose m + w*i + 11 = -m, -5 = 2*m + 5*i. Calculate the common denominator of (-2)\/(-2) + 52\/m and -16\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/8020389 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 4, d: 2}. Give prob of sequence xd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2661 - -2664. Let x(u) = u**3 - u**2 - 11*u + 4. What is x(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*q + 163*q + 162*q + 158*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 6558 + 6558 - 2*s - 13*s**3. Let h(u) = -u**3 + u**2. Determine a(o) - 6*h(o).\nAnswer: -7*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2606*p = 18*p + 417*p - 47225 - 10554 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times 5?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p + 6. Let h = -51 - -36. Let w = h - -35. Solve 3*v = 5*b + w, -p*b - 12 = 3*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 197900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 6*p = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 2259082?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 + 109*k**2 - 18*k + 2. Determine v(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3541654 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49700 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1113?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-19)\/(-8)*4. Suppose -5*c = 4*s - b, s = -c - s + 9. Let u = c - 3. What is the remainder when 19 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/10 (b) 394043 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1810369 divided by -1\nAnswer: 1810369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/(2\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x = -53*x + 300. Let o be ((-24)\/9)\/(x\/(-9) + 6). Solve t + 2 = -3*w + 2*t, 5*w + 26 = -o*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.86377032 to two decimal places.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 150817 - 78629 = -23*y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, x: 2}. Give prob of sequence aa.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*x + 6, 4*k + 15*x = 20*x + 8. Solve 6*j - 2*j - 1 = -5*q, -2*j = 5*q + k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is adb0 - ba?\nAnswer: acf6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3224 and 2119?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -25) + (-2 - (-3 + 11)) - (-17 + 77)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -13) + 0 + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 6*s**2 - s - 4. Let y be u(-4). Suppose 3*q = -q + y. Let g = -5 + q. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16632155 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4*o - 95 = 5*x, -x = 3*o + 1. Let k = -13 - x. Suppose -2*t - 13 = k*r - 40, -5*t + 5*r + 130 = 0. Does 23 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -5 (c) 2\/3 (d) -49 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/14260 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 + 2796*a**3 - 664470*a**2 = 0?\nAnswer: -1605, 0, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5931 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 16*t - 5. Let w be q(5). Solve 2*j - j - 3 = w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from vxxxvxv.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 216 times -0.17\nAnswer: -36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 71*x = -42 - 1027 - 1277 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}