diff --git "a/data/dm_maths/full_data_1/1641_11255.jsonl" "b/data/dm_maths/full_data_1/1641_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1641_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -1 + 28 + (-35 - (-76 + 44))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 511380 by -3788.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1217, -4, 2\/15, -2\/15, -5 in increasing order.\nAnswer: -5, -4, -2\/15, -2\/1217, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8392 + 31?\nAnswer: 8413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60749 divided by 1.\nAnswer: -60749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + f**2 - f. Let a(u) = -27*u**3 - 2*u**2 + 2*u. Let z(t) = -34*t - 2852. Let p be z(-84). Give p*i(l) + 2*a(l).\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r**3 - 3*r**2 - 150*r + 304. What is the lowest common multiple of d(2) and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -5*p**4\/4 + 130*p**3\/3 + 1405*p**2\/2 - 1530*p - 2516. Factor t(w).\nAnswer: -5*(w - 34)*(w - 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 14*f + 6 = 4*v, -4*f + 12 = v. Solve -2*m - 50 + 44 = v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 12:18 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 416009\/44 + (-3)\/4. Let m = r - 188971\/20. Let i = -5103 - -336835\/66. What is the common denominator of m and i?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.1 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/7)\/((-144768)\/51968)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62281604.\nAnswer: 2, 7, 11, 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1244624754*i**4 - 64*i**2 - 11126305*i wrt i?\nAnswer: 29870994096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:46 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34165\/8772 + -16\/731. Calculate the common denominator of 3111\/(-756) + (-126)\/(-882) and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2966*g**3 - 5931*g**3 + 2967*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 270 + 42. Let x = s + 82. What is the remainder when 57 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -1958636?\nAnswer: -59\/1958636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:54 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**4 - 5*j**4 - 2*j**4)*(-4 + 0 + 3).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 7.8 (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f - 22*f - 151*f**3.\nAnswer: -151*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191320227.\nAnswer: 3, 7, 17, 41, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 - 278*s + 159. Calculate v(-70).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1 + 1324\/8 + 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 11*o**2 + 26*o - 9. Calculate the remainder when s(9) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 14*o + 12. Suppose -o*y - 41 - 7 = 0. Let v(i) = i**3 + 7*i**2 + 4*i - 7. Let q be v(-6). Put q, y, -3 in increasing order.\nAnswer: y, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 7\/(14\/6). Let k(d) = d**3 + 6*d**2 - d - 5. Let i be k(-6). What is the second derivative of -1 + i + 3*n - 4*n**4 + u*n wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h. Let w(z) be the second derivative of -z**3\/3 + 7*z. Determine n(w(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c38e7 - 86?\nAnswer: -1c397d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/17)*l)\/(l*l**(2\/7))*(l\/((l*l\/l**1*l)\/l)*l)\/l*l**(-6)*l assuming l is positive.\nAnswer: l**(-615\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**3 + 18*k**2 + 25*k + 75. Suppose -8*d + 3*d - 5*b - 95 = 0, 0 = d - 3*b + 3. Let u be z(d). Round u to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 692133*j - 6921630.\nAnswer: 3*(j - 10)*(j + 230721)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t - 31*t = -230. Suppose 13*j = t*j - 4070. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 13. Let v be o(-8). Suppose -c + 0*c + 4*x = -27, 3*c = -5*x - 4. Let p = c + v. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1057304 and 67\/298.\nAnswer: 1057304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 + 9 = 0. Let m(v) = -v**3 + 11*v**2 - v + 15. What is the units digit of m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -5*b - 44, 0 = -5*y + 5*b + 80. Let d be (-147)\/(-9) + (-4)\/(-6). Suppose d - 45 = -a. What is the least common multiple of a and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -1. Let n be (-8)\/(-10) + 8\/(-10). Put 3\/4, n, j in ascending order.\nAnswer: j, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 375 + -375.2. Let f = -20 + 12. Let l = -3 - f. Which is the second smallest value? (a) p (b) 2\/7 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -51*g. Let q(o) = -71*o. Let p(t) = -2618*t. Let y(w) = 6*p(w) - 221*q(w). Calculate 3*l(c) - 8*y(c).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let a = i - 0. Let s = 1 - a. Solve -2*p + s = -0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -68, -150, -262, -404, -576, -778?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 557735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-480)\/82080)\/(3\/(-18))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 5*c**2 - 5*c + 7. Let q be k(-6). Suppose -4*z + 11 = -q. Suppose z*d = -5*m + 35, -4*d - m - 2*m + 32 = 0. Solve d*t = t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let q(g) = 1041*g**2. Give q(b(z)).\nAnswer: 1041*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 + 1 = 0. Calculate the least common multiple of ((644\/w)\/(-7))\/(4\/6) and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504086647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2990222180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/4 - 2*a**3 - 4*a**2 + 3*a + 1. Let m be w(7). Let z(n) = 6*n + 12. Let s be z(m). Is s at most -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695*h**2 + 5*h - 7 + 9*h - 5*h + 286*h**2.\nAnswer: 981*h**2 + 9*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.343059 micrometers in meters?\nAnswer: 0.000000343059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170606957.\nAnswer: 7103, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -267351, -534705, -802061, -1069419, -1336779, -1604141, -1871505?\n\"Answer: -t**2 - 267351*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 1791557.\nAnswer: 107493.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6) - 1)*-2. Let j(b) = 2 - w + 2 + b. Let k(p) = 2*p + 1. Let y(f) = -j(f) + k(f). What is the derivative of y(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/12 - r. Let k(g) = g**3 + 5*g**2 + 3. Let t be k(-5). Let b(q) = -t + 3*q + 0 + 3. Calculate y(b(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2519.11 and 0.9.\nAnswer: 2267.199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 125*j**2 - 186*j - 1225. Determine y(61).\nAnswer: -1408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 106. Suppose -2*q - 2*b - 104 = 0, b = 3*q + 74 + 94. Let a = f - q. Solve -u - 6 = a*t + 1, t + 14 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217051937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g. Let c(v) = 6*v. Let a(h) = 4*c(h) - 5*t(h). Suppose 3*b - 13 = 20. Let m(r) = b*r - 21090 + 21090. Give m(a(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-49)\/7 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -5. Let p be ((m - -1) + -51)*1. Round p to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29762 - 12853. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/25740 and 161\/53460.\nAnswer: 694980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -235953.514 to the nearest 10.\nAnswer: -235950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 21*k + 94. Let i be v(-27). Let t = i - 251. Solve 16 + 2 = 3*q - b, -t*b = -2*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 8. Let o(a) = -a**3 - 3*a**2 - a. Let w be 6*3\/(-4 + -2). Let y be o(w). Let h(j) = -j + 3. Let i be h(y). Give l(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-17 + 49 - -11).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 470, 466, 466, 470, 478?\n\"Answer: 2*b**2 - 10*b + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 5*q - 2. Let j be v(7). Let s be -3 - 5\/((-20)\/28). Calculate the highest common factor of s and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422542 (base 6) to base 3\nAnswer: -1202002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 11*i**2 + 0*i - 1\/40*i**5 + 0 + 1\/16*i**4 + 0*i**3. Determine t so that u(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1504364 + 1038913 = 16*o + 17*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16868, -134950, -455460, -1079612, -2108620?\nAnswer: -3643698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 12 = 3*i, 43 = -4*b - 2*i + 35. Let v = 9 - 4. Suppose -8 = -v*q + 7. Sort -5, b, 2, q in ascending order.\nAnswer: -5, b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 29772106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6468 - 159. Suppose o = 5*w - a + 1968, -2*w + 4*a + 1740 = 0. Suppose -12*f - 2*f + w = 0. Round f to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-136)\/32)\/((-3)\/1824)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 444*d**2 + 6661*d - 3291. Give x(15).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92252 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*x - 196 - 133, 5*c - x = 541. Find the common denominator of -69\/22 and ((-250)\/c)\/(1\/(-3)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**3 - 2*x**2 + 13*x - 11. Let f be y(-8). Suppose f = -4*l - 1843. Round l to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -53.63. Let h = -367 - -366.453. Let o = h + y. Round o to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 60\/41, 2, 60.55?\nAnswer: 60\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, -97, -122, -147?\n\"Answer: -25*i - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36256 and 217948.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-37905)\/42)\/19)\/((-70)\/28)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - 19. Let v = j - -49. Suppose 0 = -0*m - m - 2. Is m > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tll when three letters picked without replacement from lltllahhl?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10362, 19496, 28624, 37740, 46838, 55912, 64956, 73964?\nAnswer: 82930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/(-4 - (-187)\/51).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195715277.\nAnswer: 109, 457, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2\/5 + 1852*x\/5 = 0?\nAnswer: -463, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3 + 3. Which is the second biggest value? (a) 13 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/4 + q**3\/3 - 7*q**2\/2 - 3*q + 33. Let h be o(-3). Factor 2\/7*g - 2\/7*g**3 - 2\/7*g**2 + h + 2\/7*g**4.\nAnswer: 2*g*(g - 1)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 1\/1)*1*(2 + -8). Solve -5 = x*u - 25*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*k = 84, 2*q = k + 39 - 5. Let u = q + 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 13*x**2 + 14*x - 18. Suppose -5*h = k - 6, 4*k - 3*h = -0*h - 45. Let m be k*(8\/(-6) - 0). Does 6 divide g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b4 (base 13) to base 3.\nAnswer: -1121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/12 + (-27)\/(-20). Factor 3\/5*m**2 + 3\/5*m - 3\/5*m**3 - a.\nAnswer: -3*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6888)\/(-369)*(1*-3 + 14\/(490\/165)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8526 divided by 14?\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 * 0.2560882.\nAnswer: -0.081948224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 s when four letters picked without replacement from rsrrrrsrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q. Let c(g) = 2*g**2 + 963. What is c(a(z))?\nAnswer: 32*z**2 + 963","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7624 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1675\/68333?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0*c**2 - 1\/4*c**4 - 7*c + 0*c**3 + 0. Let t(v) = -2*v - v + 4*v - 5*v. What is t(z(r))?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((5*sqrt(39)\/sqrt(3))**2 + sqrt(26)\/sqrt(2)*-6 + 4 + 0 + sqrt(325))*5 + 4)*4.\nAnswer: -20*sqrt(13) + 6600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26\/15, -3\/5, 0.4, 7368.\nAnswer: -26\/15, -3\/5, 0.4, 2, 7368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1559465 and 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1686 = 2862. Let s be (12\/15)\/(d\/(-285) + 4). Let x(g) = -4*g + 3*g + s - 76. What is x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + 0.1. Let x = -1 - -0.4. Let z = r + x. Which is the closest to 0.1? (a) -4 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 * -0.1195\nAnswer: 9.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 5238227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 17*c**2 + 8*c - 13. What is the lowest common multiple of 140 and o(9)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 48587, 97172, 145757, 194342?\n\"Answer: 48585*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 118, 0, -0.2, -2\/9, 352\/7?\nAnswer: 352\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.05, -11\/3, -2, 2 in ascending order.\nAnswer: -11\/3, -2, 0.05, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 4. Suppose 6 = m + 3*c, -5*c = -2*m - 0*c - 32. Calculate f(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164 - -1309\/8. Let p = 2 - 14. Let s be (((-3)\/(-2))\/((-9)\/p))\/(-5). Which is the third biggest value? (a) -2 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.225261 to 1 decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142856 - 71999353\/504. Find the common denominator of k and -137\/140.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.19678 nanometers to centimeters.\nAnswer: 0.000000419678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 4*h**3 + 1 + 9*h + 11*h - 10*h - h**3 - 14*h in the form m + t*h**3 + b*h**4 + p*h + v*h**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {h: 1, c: 9, n: 4, o: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 19392671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/33)*v*v\/(v*((v*v\/(v*v**(1\/16)*v))\/v)\/v))\/((v**(-1\/19)*v)\/(v**(-18\/7)*v*v)))**(-12\/11) assuming v is positive.\nAnswer: v**(-104149\/64372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 11*f + 15. What is the remainder when m(15) is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88339918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5795759 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (28 - (85 - 28)) + 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-812)\/(36\/(-8)*20\/45).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -122*l**2 - 3. Let v(s) = 119*s**2 + 4. Let g(q) = -4*a(q) - 3*v(q). Let x(w) = -2*w**2. Determine g(x(r)).\nAnswer: 524*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*x + 57*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c050e + 6?\nAnswer: -8c0508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z + 1765 - 540 = -275 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -966 + 89d1?\nAnswer: 806b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-165)*18\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4903*y**6 + 7*y**2 + 44*y - 4?\nAnswer: -588360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8473 = -4*c + p, -28*p + 6345 = 3*c - 32*p. Calculate the highest common factor of 815 and c.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 29*y**2 + 9*y + 265. Let b be p(-29). Let q = -1 - 2. Put b, -1, q in increasing order.\nAnswer: q, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 580*t**2 + 40746*t - 127512.\nAnswer: 2*(t - 3)*(t + 132)*(t + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/4*(-5 + 2 + 2). Is (1\/2)\/((-4)\/(y + -3207)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10778.6906 to the nearest ten.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.338 and -0.4?\nAnswer: 0.1352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 6233?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Let z be 3\/2 + (-19)\/2. Is (s*2)\/(z\/(-84)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -44*c - 284. Let u(s) = -11*s - 63. Let q(d) = -2*b(d) + 9*u(d). Calculate q(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Let p(y) = y**2. Let m(n) = -n**3 - 20*n**2 - 20*n - 15. Let u be m(-19). Let k(c) = -4*c**2 + 6*c**2 - c**2. Give h*p(l) + u*k(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 37750.\nAnswer: 151000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325199780, -325199783, -325199786?\nAnswer: -325199789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -331*a**3 - 238*a**3 + 16*a**2 - 37*a**2 + 19*a**2 to the form d*a**3 + p + o*a**2 + t*a and give d.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -3\/5 (b) -2\/3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 461, 457, 451, 443, 433, 421?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10332964081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**13)**(-42)*(f*f**(1\/6))**(-34))**(1\/25) assuming f is positive.\nAnswer: f**(-1757\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3913*x - 3913*x - 118*x**5 + 0*x**5 - 3*x**5 + x**5 + (2*x**4 - x**4 - 3*x**4)*(-x + x + x).\nAnswer: -122*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.239498 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/38696 and 29\/1008.\nAnswer: 696528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 630558.\nAnswer: 189167.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ayyyyayaaaayya.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2165 + -1484. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6391 + 12276. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 15 + 40 - 25.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = 0, -4*i - 5*q + 18 = -0*q. Let b(g) = 182*g - 39. Let r be b(-2). Let n = r + 407. Solve -3*s + n*f = -0*s - 32, -i*s = 2*f + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34*w**3 - w**2 + 4*w - 2. Determine g(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)\/l**(-7))\/(l**(-1))**(-4\/9))\/((l\/(l*l**0)*l*l**(-2\/21))\/(((((l*l*l\/(l*l**(-1\/4)*l*l*l)*l*l)\/l)\/l)\/l)\/(l*l**(-5)))) assuming l is positive.\nAnswer: l**(731\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -54412662 times -4\nAnswer: 217650648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x - 10. Determine q(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**6 + 353*k - 353*k - 183*k**2 - 2*k**5 wrt k.\nAnswer: -240*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9*j + 12 = 0. Let q(v) = 6 - 9 - v + j*v**2 + 5*v + v. Let k(l) = -2*l + 0*l + 2*l - l. Determine -3*k(s) - q(s).\nAnswer: -2*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6 - 29*b**2 + 1 + 5 + 20*b**2. Let c(a) = -a. What is c(r(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**4\/6 - 2*k**3\/3 + 2*k**2. Let j be u(4). Does 15 divide (5 + -1)\/(1\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 8*c + 255. Let y = -48 - c. Sort -3, 1, 4, y in descending order.\nAnswer: 4, y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 658 + -1 + -2 + 2. Let q = 2\/137783 - 729836567\/1102264. Let o = d + q. Calculate the common denominator of o and -109\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 942 + -658. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q**3 + 2 - 2*q**3 + (-3*q**2 + 0*q**2 + 5*q**2)*(-10*q - 2*q + q))*(64*q + 45*q - 142*q).\nAnswer: 759*q**4 + 33*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Let o(g) = -v + g**2 + g + 3 - 1. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*d - 17720 + 6407 = -42299 - 30004 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47073544.16 rounded to the nearest 100000?\nAnswer: -47100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67227 - 8 - (8 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f = 9*d + 100*f + 37, -5*d = 5*f + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 = 5*g, 5 - 6 = f + g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1475 + -1473. Solve 19 - 13 = -t*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 635825932 divided by 158956483\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 140.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-9\/4)*w**(-17))\/((w\/((w\/(w\/(w\/(w\/((w*w\/w**(6\/5))\/w)))))\/w))\/(((w*(w**16\/w)\/w)\/w)\/w)) assuming w is positive.\nAnswer: w**(-149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7191 is divided by 7069?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)*h*(h*h\/(h**(2\/5)\/h))\/h*h\/(h**(-1)*h)*h*h**(4\/5)*((h*h\/(h*h**3)*h)**(1\/53))**19 assuming h is positive.\nAnswer: h**(11\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -4\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 + 9 - -1) + 9 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 7653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 5*t - 35, -3*u - 34 + 13 = 2*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11176622 and -0.14.\nAnswer: 1564727.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -305?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-414)\/621*(-5)\/((-70)\/12)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 11*r**2 - 28*r - 295. What is the remainder when i(-11) is divided by 668?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 + 104704*w**3 - 6059372*w**2 - 104704*w + 6059376 = 0. What is w?\nAnswer: -1, 1, 58, 26118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 554*i.\nAnswer: -i*(i + 554)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q**2 - 16*q. Let p(c) = -5*c**2 + 3*c. Let y(v) = -3*b(v) - 16*p(v). Let g(f) be the third derivative of f**4\/8 - f**2. What is y(g(t))?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -k + 8, 3*r - 14 = -3*k - 2. Let a be r\/2 + (-6)\/12. Let f(o) = -4*o + 4*o**2 + 1 + 2*o + 3*o + 0. Give f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3*v - 3*v**3 - 9*v + 9*v**3 + 12*v.\nAnswer: 6*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 3:34 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 50 = -y, o + y = -y - 1. Calculate the lowest common multiple of 6 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31466 + -1?\nAnswer: 31465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m - 38*m - 14*m - 3815 = 0 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -18) + (-2 - (4 - -1)) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500985 is divided by 2479.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -4*m - 10. Let a(g) = -14 + 10*g - 14 - g - 5*g. Let c be a(12). Solve -4*n + 2*u + 18 - 2 = 0, 2*n - c = -m*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1740 and 275890920.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + -1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 2*q - 11. Let d be v(5). Calculate the remainder when 106 is divided by 1\/d - 3289\/(-92).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -10. What is the least common multiple of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 19*z**2 - 14*z + 10. Let n(d) = -d**3 - 10*d**2 + 7*d - 5. Let q(j) = 7*n(j) + 4*s(j). What is the tens digit of q(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6960 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x = 0. What is the derivative of -4 + x*f**3 + 3*f**3 + f**3 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*g + 810, 2*g + 5*f - 186 = 237. Solve 34 + g = -34*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/60 + d**5\/30 - d**4\/24 + 3*d**3\/2 - 21*d**2. Let o be q(0). Solve -r + 5 + 11 = -3*l, 2*l = -r - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/4 (b) -3\/59 (c) 1 (d) -362 (e) 0.66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 w when four letters picked without replacement from wywywwwwwwwyywyw?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7055946.\nAnswer: 2, 3, 113, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4201 or 4202?\nAnswer: 4202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -223.5203112 and 0.2.\nAnswer: -44.70406224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145725 is divided by 288.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*t + 3*v - 9 = 0, 5*t - 3*v - 3 = 0. Suppose -5*a + 2 = -t. What is the units digit of (0 - -1)*(a - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - 189\/28)*6*2. Suppose 0*f - g - 34 = -f, 0 = o*f + 2*g - 107. Calculate the least common multiple of 35 and f.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -688, -1003, -1318, -1633?\nAnswer: -1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 4*h**2 + 2*h**3 + 1000*h + 2551*h.\nAnswer: 2*h**3 + 2*h**2 + 3551*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 10*c + 11. Let t be f(9). Solve -3*w = -t*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -18. Let n be (2\/g)\/((-1)\/3). Put -0.3, 0.5, n in descending order.\nAnswer: n, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 69*j + 1590895 - 4751503. List the prime factors of j.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 14. Let v be r(-21). Calculate the highest common divisor of v and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 - -223. Suppose -3*a - 11*f + 16 = -12*f, 4*a - f - 21 = r. What is the lowest common multiple of a and (-1 - -1*2)*7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 1) + 111 + -104 - 33.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:55 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3036 + 5282 - 29*z**2 - 2246.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgzz. What is prob of sequence mg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r**3 - 85*r**3 + 50*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h + 1 - h**3 - 4*h - h**4 - h - 24*h**2 + 0*h**4 - 2*h to the form l + g*h**2 + a*h**4 + r*h**3 + b*h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89064032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:05 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25716 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022110112201 (base 3) to base 16.\nAnswer: 22fa95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Suppose -g = -4*w - 23, 0 = 3*g - t*w - 0*w - 109. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/4 + 47\/12. Factor -16\/3*p**2 - 2\/3 - g*p**3 - 10\/3*p.\nAnswer: -2*(p + 1)*(2*p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**6\/120 + p**5\/40 - p**4\/48 + 3*p + 5. Factor b(m).\nAnswer: -m**2*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 - 18*q - 5. Let p(j) = j**2 + 6*j + 2. Suppose -6*v - 2*l + 34 = 0, 0 = 10*v - 9*v + l - 9. Determine v*d(g) + 11*p(g).\nAnswer: -g**2 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 2890*r + 17349\/2.\nAnswer: -(r - 3)*(r + 5783)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1890 - -30173\/16. Let z = 810\/7 + -6333\/56. What is the common denominator of r and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 21*h**2 - 6*h + 119. Let u be b(21). Put -3, u, 22, 0 in ascending order.\nAnswer: u, -3, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 19*h**2 - 17*h + 21. Let x be d(20). Is x not equal to 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1173.945?\nAnswer: -234.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 42 = -0. Let a = y + 32. Calculate the highest common divisor of a and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 23*w + 130 - 130 in the form s + f*w and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3520, 4896, 6258, 7600, 8916, 10200, 11446, 12648?\n\"Answer: -q**3 - q**2 + 1386*q + 2136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {d: 1, i: 2, f: 1, q: 1, t: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49485?\nAnswer: 3, 5, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 169, 179, 189?\n\"Answer: 10*q + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 15)*(-10)\/(-25). Sort 2, -1, c.\nAnswer: c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 8, -3*l + 6450 = 3*i - 5319. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 1 + 1)*(0*a + 0*a - a**2) + 38*a**2 - 38*a**2 + 19*a**3 - a**3 + 0*a**3 + 3*a**3.\nAnswer: 19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -59950 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/2 + 4874089*r + 23756743579921\/2.\nAnswer: (r + 4874089)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23, -14, -3, 10, 25, 42?\n\"Answer: s**2 + 6*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 729106.6 litres?\nAnswer: 729106600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*g**2 - 5021532*b*g + 3*b - 63214*g**2 + 2062 wrt b.\nAnswer: 4*g**2 - 5021532*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (8 + -17)) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let r be h\/2*1*4. Suppose -9 = -l - 2*l. Solve 0 = t - l, r = q + 2*t - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3 - 9. Suppose -4*u + g*u = -152. Let o = u + -49. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 7. Calculate c(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 1. Let g be w(-4). Let a be -1 + 1 - (0 - g). Suppose -4*d + 43 = a*l - 0, 0 = 3*l - d - 19. Solve -3 = -2*y - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.9 and -19688?\nAnswer: 19696.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2496, -2485, -2474, -2463, -2452?\n\"Answer: 11*p - 2507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 16. Let x be (-18)\/(-42) - (-39)\/i. Put x, -1, 1 in decreasing order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t*t\/t**(4\/11))))\/t*t\/t**(-3\/5))\/((((t\/(t*t*t**(2\/19)))\/t*t)\/t)\/(t**(-8)*t)) assuming t is positive.\nAnswer: t**(-2778\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 47950177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 520 - 866. Let i = w - -344. Which is the biggest value? (a) -4 (b) i (c) 0.1 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.8 (c) -10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 14. Suppose -1 = -l*r - 3. Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laaydalqiaid. What is prob of picking 1 a and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 - 11*m - 3*m**5 + 5*m**5 + (8*m**4 - 1673*m**2 + 1669*m**2 - 3*m**4)*(-m + 0*m + 0*m).\nAnswer: -7*m**5 + 4*m**3 - 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.618*-49425.\nAnswer: 129394.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 - 7*k**4 - 3*k**4 + (0*k - 3*k + 5*k)*(3*k**3 - 3*k**3 - 2*k**3) + 0*k**4 - k**4 + 0*k**4 + (-6*k**3 - 2*k**3 + 3*k**3)*(-1 + 3*k + 1).\nAnswer: -25*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/260652 and -143\/32100?\nAnswer: 6516300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1\/(-3))\/(-1))\/((-54)\/243). Suppose -4*v = 16, u = -v - 9 + 1. Let j be -3*(4\/9)\/u. Does l = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 679740624 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -73*g + 9. Let f(l) = 75*l - 10. What is 3*f(j) + 4*p(j)?\nAnswer: -67*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + -bb?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/1698 and 11\/3849882.\nAnswer: 1089516606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and -48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -598 (b) -0.1 (c) -4 (d) -0.18 (e) -0.2 (f) -20\/7 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 37*v + v + 880. Let o(h) = 16*h**3 + 11*h**2 + 4*h - 11. Let r(w) = 3*w**3 + 2*w**2 + w - 2. What is v*r(d) + 4*o(d)?\nAnswer: -2*d**3 - 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -38?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4*8 + 12 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 334 - 338. Which is the closest to 0? (a) 0.3 (b) v (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1185820154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and -592 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -5.03. Let h = o - -5.000002. What is h rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 2910*r + 705675.\nAnswer: 3*(r + 485)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 5) in base 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11659169 - 2*j**2 - 11659169.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 557 - 258*t + 11 + 416 + 163*t + 97*t.\nAnswer: 2*t + 801","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*s - 412*s = -14. Sort -1, -2, 4, s.\nAnswer: -2, -1, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27010055725 and 19805.\nAnswer: -27010035920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31847, 127106, 285773, 507842, 793307, 1142162, 1554401?\n\"Answer: -a**3 + 31710*a**2 + 136*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.349 + 0.051. Which is the biggest value? (a) -0.1 (b) l (c) 0.1 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 2*i - 11*i.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 9*u + 4*u + u)*(-3 + 2 - 1) + 4*u + 14 - 14 as l + q*u and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 46344.\nAnswer: 324408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u)*(-3*u**2 - 2*u**2 + 6*u**2)*(46 - 192 + 29).\nAnswer: 117*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*k**2 + 2)*(3 - 30*k + 0 - 198*k).\nAnswer: -456*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 minus -3.6?\nAnswer: -203.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -8*n**3 + 0*n**3 - 4*n**3 - 2*n**2 + 4*n**3 + 2 - n. Let k be l(-2). Suppose -12*b + 10*b + k = 0. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -747\/2560 + 47\/512. Let r = -1 - -1. Sort r, 5\/6, w, -1 in ascending order.\nAnswer: -1, w, r, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-1714*v - 464*v + 694*v).\nAnswer: -2968*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/80*95 + (-2)\/(-8). Suppose -3*d + x*d - 171 = 3*k, 4*d - 2*k - 338 = 0. Suppose 2*j - 14 + 2 = 0. Calculate the lowest common multiple of j and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 140. Let m(x) be the third derivative of x**5\/30 + x**4\/8 - 2*x**3\/3 + 2*x**2. What is m(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -955 (base 10) to base 7\nAnswer: -2533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 4, -0.690452, 2?\nAnswer: -0.690452","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8967983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 103254*d - 1032480. Give a(10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12232032 and 896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26260 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -9, -37, -97, -201, -361, -589?\n\"Answer: -2*p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**3 - 2*j**2 + 6*j. Suppose -2*i = -3*v - 5*i, -5*i = -2*v + 21. Let b(p) = 5*p**3 - 2*p**2 + 5*p. Give v*m(y) - 4*b(y).\nAnswer: -2*y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/7582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Let b(g) be the first derivative of 3*g**2\/2 + 42. Give x(b(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 1)*(0*v**3 + v**3 - 2*v**3)*(-3 + 3 + 2*v) as t*v**4 + q*v**3 + h*v**2 + g*v + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93450 and 65415.\nAnswer: 654150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peiif. What is prob of sequence ip?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1367706 (base 8) to base 11.\nAnswer: 246343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**2 + 16*d + 11. Let i be 5\/(4 - 5)*6\/(-10). Suppose i*w + 18 = -6*w. Let y(n) = n**2 - 3*n - 2. Let a = -21 + 10. Give a*y(j) + w*u(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 - 7*q - 3. Suppose -w + 5 + 1 = 0. Suppose w*j + 9 = 3*j. Let p be o(j). Is -17 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j + 10. Let p(m) = -3*m + 10. Let i(w) = 4*c(w) - 3*p(w). Differentiate i(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/8)\/j*j)\/(j*j**7))**(1\/19)\/(((j\/(j\/j**5))\/j*j**(1\/9))\/(j**(1\/4))**(-24\/5)) assuming j is positive.\nAnswer: j**(-39253\/6840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*16\/(-264)*3\/2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 11*m - 23. Let g be d(13). Let u = 3 - g. Sort -3, 5, u in descending order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.39275 rounded to 2 decimal places?\nAnswer: -12.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 - (-10 - (9 + -38) - 8)) + -2 + -4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3590485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0354096 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 26*q**2 + 7*q. Let m(g) = 39*g**2 + 11*g. Let t(w) = 5*m(w) - 7*z(w). What is the second derivative of t(b) wrt b?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 46516515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.4988\nAnswer: 2.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -0.96?\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j. Let d(n) = 5*n**2 - n + 728. Give d(o(r)).\nAnswer: 500*r**2 - 10*r + 728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10934729831.04 plus 33?\nAnswer: -10934729798.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1130, -1798, -1276, 1030, 5714?\nAnswer: 13370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 5, -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2361405958 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 973 = 12*r. What are the prime factors of r?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2219060.19 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 384\/(-3)*7\/14. Let p be (-16)\/g - 2\/8. Let c(n) = n**3 + n**2 - n + 18. Determine c(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7950 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 31. List the prime factors of m(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271337172 to the nearest integer?\nAnswer: 16472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwdddwhdpwdww. Give prob of picking 3 w and 1 p.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (128\/24)\/((-4)\/(-6)). Suppose o*i - 3*i = -4*p + 23, 14 = p + 4*i. Suppose s + 15 = m, 42 = -p*m + 4*m + 2*s. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -533575\/19 + 28083. Sort z, -2, -1\/25, -0.1, 3 in descending order.\nAnswer: 3, z, -1\/25, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944106.2 months in decades?\nAnswer: 16200.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 0.2 (c) -1044 (d) -0.3 (e) 0 (f) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 6*t - 10. Give z(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 7. Determine c(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(125))**2*6 + sqrt(25)\/((sqrt(5) - (sqrt(20) - (sqrt(180)\/sqrt(9) + sqrt(20)))) + sqrt(5)).\nAnswer: sqrt(5)\/4 + 6750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 8*k = -540. Calculate the greatest common divisor of 54 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1 - (17 + -24). Suppose -3*o - 15 = -c*o - 3*y, -8 = 4*o - 3*y. Solve z - o = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255.614 - 0.614. Let p = -255.3 + s. Which is the biggest value? (a) -13 (b) 0 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(2 + 2*s - 2) - 1 + 1 - 2*s - 8*s - 36 + 36 + 2*s - 2 + 2)*(-s - 3 + 3 + s**2).\nAnswer: -12*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-3\/28)*o)\/o)*o*o**33 assuming o is positive.\nAnswer: o**(983\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 1 - 1 + (2 - 2 - 2*r)*(44*r - 161 + 161)*(0*r**3 + r - 4*r**3 + 2*r**3).\nAnswer: 174*r**5 - 88*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.2 and -68.\nAnswer: 353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6391.\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14.47 - 40779618114\nAnswer: -40779618099.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.323 - -1.313. Let n = b + -1.7. What is n rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4439489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037756 to 5 dps.\nAnswer: 0.00378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(2 + (-1350)\/669). Suppose 4*n - l = -3*p - 0*p, 4*n - 203 = p. What is the greatest common factor of n and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9510 = 20*o + 10430. Let r = o + 1726. Is 81 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 5*t + 6*t.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 20, 30, 40, 50?\n\"Answer: 10*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/20 - c**4 - 11*c**3\/6 - 15*c**2\/2 + 423*c - 1. Give y(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 12\/773, 0.7, 2\/7, 1?\nAnswer: 12\/773","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141841301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4573409?\nAnswer: 4573409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 117*y**2 + 241*y - 96. Give p(119).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 2\/15 (c) 3 (d) -0.02 (e) 4.49 (f) 202\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 112 = 3*q + x, -2*q + 62 = -5*x. Let r = q + -32. Solve 8*i = r*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.2 - -901204909.\nAnswer: 901204926.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.43 and 782.\nAnswer: 336.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3318 is divided by 414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 1636 = n + 1652, -38 = 5*h + n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 24 = -2*m, m + 4*t - 3 = -t. What is the common denominator of 12\/m*(-87)\/20 and (-87)\/(-30) + (0 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from {d: 2, f: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 21. Let n(b) = 5*b**2 - 2. Suppose -l = -3 + 1. What is the smallest common multiple of j and n(l)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42073?\nAnswer: 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (636\/(-54) - -8) + (-2)\/9 - -151553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**7\/105 - 19*q**5\/10 + 3137*q**4\/24 - 1700*q**2. Find the second derivative of k(b) wrt b.\nAnswer: -24*b**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168597834 and 388?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20a (base 12) to base 16\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628421213.\nAnswer: 3, 542807071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 28*u**3 - 284*u**2 - 6*u. Let g(c) = -c**4 + 3*c**3 + c**2 + 3*c. Let t(w) = -2*g(w) - h(w). What is the third derivative of t(j) wrt j?\nAnswer: 48*j - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -1.25.\nAnswer: -11.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -290*m + 870. Let x be b(3). Solve x = -9*v + 5*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)*d**1*(((d\/d**(-3))\/d)\/d)\/(d\/d**2) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {l: 1, f: 6, a: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3*q = -14, -4*a + 5*q - 1132 + 1112 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = -19*f - 5*f + 68*f - 4*y, -f - 2*y + 22 = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 23 = -2*r, -4*x + 2*r + 652 = 634 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 133770 divided by -3822\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 780206?\nAnswer: 780203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15+-82\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4411062 divided by -490118?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(-5 + sqrt(2736) + 0 + 5 + 4*(sqrt(2736) + -1))*-4)**2.\nAnswer: -1966080*sqrt(19) + 280231936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28996 + -11339. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184 take away -86573.6?\nAnswer: 86573.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**5\/60 - 3*t**4\/8 - 7*t**3\/6 - 12*t**2. What is the tens digit of j(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -563851.600069 + 563844. Let j = z + 7.6. Round j to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/(750\/(-126) + 6). Let x be (-128)\/(-56) + -2 + (-292)\/a. Calculate the greatest common divisor of x and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56556, 112224, 167892, 223560, 279228, 334896?\n\"Answer: 55668*n + 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 1 e when three letters picked without replacement from ehswwsexwhhz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 494 = 1534. Suppose -2*i + 69 = 17. What is the greatest common factor of i and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*h**3 + 508*h**2 - 33 - 508*h**2 wrt h.\nAnswer: -171*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzbzzzzqbqqqz. Give prob of sequence qqbz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-315))\/(4\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4 - -7) - 15\/(-3). Suppose 0 = -s - 2*s + x*d + 3624, 3*d = -2*s + 2433. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -5*n - 10*o - 17, 0 = 5*n + 2*o + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32d7b (base 14) in base 3?\nAnswer: -20021021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 2*k**5 + k**3 - 2*k**5 + (k + 1 - 1)*(0*k**4 + 2*k**4 - 4*k**4) - k**5 + 7*k**5 + 2*k**5.\nAnswer: 5*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13943, 28411, 42879, 57347, 71815, 86283?\nAnswer: 100751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 62521\nAnswer: -43764.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 11:38 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 5*g. Let k(o) = -o**2 - 18*o - 38. Let y be k(-8). Let s(x) = y + 2*x + 1 + 35 - 21. What is v(s(r))?\nAnswer: 10*r + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5631, 5586, 5509, 5400, 5259?\nAnswer: 5086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/633 + -16739\/27852. Is u at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x**2 + 10477*x**3 - 2*x + 0*x - 10 - 20960*x**3 + 10482*x**3. Suppose 6*t = 3*t - 18. What is the least common multiple of 2 and r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 5 + -154 + 78\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 + 20 = 5*g. Suppose -3*n = -4*n - q + 51, -4*q = -2*n + g. Is 20 a factor of (5 + n\/(-6))*200\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 310?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -18, -47, -94, -165, -266, -403, -582, -809?\n\"Answer: -o**3 - 3*o**2 - 13*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47985 is divided by 893?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from gpnpgnngnnpg.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -3110220?\nAnswer: -3110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5480 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836880178 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1906162339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299 + -303. Sort q, 3, 4 in descending order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from {h: 3, k: 4, o: 1, b: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1118*f + 781?\nAnswer: 1118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 176 - 3*a**3 + 172 + 0*a**2 + 0*a**2 as d*a**2 + q*a**3 + j + f*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -127*v + 1144. Let z be w(9). Solve -5*a + 2*x - z = 0, -a + 5 - 16 = 5*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/216255 and -121\/156?\nAnswer: 865020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 148 = 4*v + 5*w, -v - w = -2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 17*r**4\/36 - 154*r**3\/9 + 6*r**2 - 19*r + 1. Factor b(f).\nAnswer: (f - 18)*(17*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 10 = -3*q - 19*g, 4*q + 3*g = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(n**22*n)*n))\/n)\/n*n**(-7\/3)\/n)\/(n**(-20)*n*n**(7\/4)))**(2\/17) assuming n is positive.\nAnswer: n**(407\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-135)\/(-48)*2 + -2 and 1006\/80 - (-3)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020 + 204?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 34.78189 years?\nAnswer: 0.3478189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3710 = 3*n - 2*g, 21*n - 17*n - 2*g - 4946 = 0. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.3999666 - 30.4. Round s to six decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aca when three letters picked without replacement from acca?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 48089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 747\/2 + -355. Find the common denominator of y and -17\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -2c?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/22*231\/42?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 + -96. Suppose -15 = -3*b, n*b = -2*q - q + 168. Calculate the remainder when q is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 225 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 2*u**2 + u - 5. Suppose 5*m - t - 27 = 0, 5*m - 3*m + 4*t - 2 = 0. Let q(x) = 2*x**3 - 3*x**2 + x - 7. Determine m*q(v) - 7*a(v).\nAnswer: 3*v**3 - v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:44 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 2*a - 3*a - 3*a + 3*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/59 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 855291977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p**3 + 853*p**2 + 687*p + 1372. What is b(51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (sqrt(84) + sqrt(84)*-4 - sqrt(84)) - sqrt(84))*-6 - sqrt(84) - sqrt(84)) + (sqrt(84) - (1*-2*sqrt(84) + sqrt(84))))\/(-3*sqrt(108)*6*-6).\nAnswer: -2*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21498.6 - 21499. Let q = 0.3 - 0.3. What is the closest to q in 5, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1028*b**3*x**2 + 589*b**3*x + b**3 + 165*b**2*x**2 + 2*b**2 - 7*b - 220*x**2 - x wrt b?\nAnswer: -6168*x**2 + 3534*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 37281.7 and 0.4.\nAnswer: 14912.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -212, -296, -380, -464?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -1 in descending order.\nAnswer: 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000099451287 rounded to 7 dps?\nAnswer: 0.0000995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:46 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvpy when four letters picked without replacement from {y: 2, p: 3, r: 6, k: 4, v: 1}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/23400 and 43\/2325.\nAnswer: 725400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21760*g**3*r**2 - 113617*g**3*r - g*r**5 wrt r.\nAnswer: 43520*g**3 - 20*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -5*h**3\/3 + h**2 + 72. Calculate x(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -372\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -185*q - 2218. What is u(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, h: 5, i: 2}. Give prob of sequence ihh.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 6:23 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167123\/48 - 3482. Let q = 1\/48 + r. Which is the biggest value? (a) 1\/4 (b) -4\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -62, -81, -118, -179, -270, -397, -566?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15299070 and -61201.7.\nAnswer: 15237868.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9255, 37513, 84623, 150579, 235375, 339005, 461463, 602743?\n\"Answer: -m**3 + 9432*m**2 - 31*m - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196811001*n**2 + 50476127*n?\nAnswer: 393622002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 41 = -7. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 519*t**3 - 7*t**2 + 7*t - 7. Let p(h) = -173*h**3 + 2*h**2 - 2*h + 2. Calculate 7*p(q) + 2*r(q).\nAnswer: -173*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 195 = -20*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.4, 1, -3\/2, 1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**3 - 647*z - 11*z**4 + 2 + 337*z + 308*z in the form d*z**4 + v*z**3 + t*z + j + c*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 73*89929\nAnswer: 6564817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - 5*sqrt(4896))*5)\/((sqrt(720) - -5*sqrt(720) - sqrt(720) - sqrt(720))\/sqrt(10)).\nAnswer: -295*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 16*m - 14. Let i be h(-20). Suppose -3*u + 6*u = i. Solve -24*j**3 + u*j**4 + 16*j**2 - 4*j - 2*j**4 - 4*j**5 - 4*j**4 = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/11)*w*w*w\/(w\/w**(1\/10)))\/(w**(-2\/53)*w**(-13)*w) assuming w is positive.\nAnswer: w**(84543\/5830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 2 w when four letters picked without replacement from {l: 2, w: 6, p: 4}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2647\/113520 + 29\/1232. Let v = 2309\/6020 - l. Let u = -1\/4 + v. Which is the closest to 0? (a) -2\/7 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/3 + 60*g**2 + 900*g + 4500.\nAnswer: 4*(g + 15)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 67761 = a - 197745, -4*m + 519984 = 4*a. Round a to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.1 - 126.1. Let n = y - -102. Suppose 5*g + 17 = -3. Which is the closest to 1? (a) g (b) 4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177 and 533?\nAnswer: 94341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k = -19*k + 16*k - 1785 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/3))\/u)**(16\/3)\/(((u*u*u\/(u**(3\/2)\/u))\/u)\/(u**(1\/5)*u)) assuming u is positive.\nAnswer: u**(293\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/88*(-12)\/30\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.230001426 - -7.23. Round l to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/7 + 2*y**3 + 54*y**2\/7 + 58*y\/7 + 20\/7.\nAnswer: -2*(y - 10)*(y + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 21 + 125)*(-531*v - 794*v - 180*v)*(-2*v + 6*v - 2*v).\nAnswer: -343140*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 108\/26 + 7\/91*-2. Suppose -4*j + 26 = -0*g + 5*g, g - 2 = -a*j. Let s be (g\/(-8))\/(4 + -1). What is the nearest to -1 in 3\/7, 0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6064*y**3 - 1 + 1 + 6072*y**3 + 6067*y**3 - 18205*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3 = 2*k + 7, n + 4*k = 10. Let v = -3 + -6. Let p = -7 - v. Which is the nearest to n? (a) -2 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(6\/13)\/(v*v*v*(v*v*v*v\/(v**(-5\/2)\/v)*v*v)\/v))**24)**(-3\/22) assuming v is positive.\nAnswer: v**(5166\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(30)\/sqrt(5)) - (sqrt(363) + -1) - (2*sqrt(144))\/((sqrt(48)\/sqrt(2))\/sqrt(8)).\nAnswer: -18*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-70)\/(-140)*28*-1?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 216\/60*(-10)\/(-6). Suppose -4*q + 9 = -7. Suppose q*k - 72 + 8 = 0. Solve k = -5*g + d, -3*g - c*d = 23 - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-28)\/(-4))*2\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -200*r. Let d be j(-1). Let f = d + -1403\/7. Which is the closest to -0.1? (a) 0.1 (b) f (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51.2 + -51. What is the closest to -0.2 in -0.2, 1\/4, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4559, 5167, 5775, 6383, 6991, 7599?\nAnswer: 8207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2509438.\nAnswer: 2, 17, 23, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7))**(3\/4)\/(n\/(n*n**10*n)*n**4) assuming n is positive.\nAnswer: n**(211\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 2, j: 7}. Give prob of sequence qh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Is (y - 1273\/(-1))\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/9575103 or 1?\nAnswer: -5\/9575103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.47341744 rounded to 3 decimal places?\nAnswer: 5.473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:46 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (5 - (8 + 7)) - 30.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 153*w**2. Let r(f) = 3*f - 17. What is o(r(b))?\nAnswer: 1377*b**2 - 15606*b + 44217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a - 18. Let i be d(-4). Suppose -8 = i*y, 11*c + 4 = 12*c - y. Solve -5*t + 26 = 3*l - l, 5*t - 20 = c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 - 952 + 439 + 8*w**2 - 2*w**2.\nAnswer: 2*w**2 - 513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u - 8. Suppose w = 4*r - 38, 0 = 2*r + 3*w - 28 + 2. What is the lowest common multiple of r and (-144)\/(-14) - u\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 9 - 21. Suppose -2 = v + 4*y + b, 0 = 2*v - 5*y - 10. Solve 0 = -4*a - 0*h + 3*h - 9, v = -2*a - 2*h - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b = 373. Suppose 3*r + 103 = b. Calculate the remainder when r is divided by ((-2)\/(-2))\/(2\/46).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -b + 3*b - 16, -4*m - 5*b - 77 = 0. Let c be (-3)\/m - 70\/(-12). What is the greatest common divisor of 54 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17174206 and -17174205 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 581.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -0.3, -13076, 889 in increasing order.\nAnswer: -13076, -0.3, 0.1, 5, 889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 30 = 4*k, 0 = 5*h - 2*h - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 130.53 - 130.19. Which is the nearest to -3? (a) 0 (b) -5\/2 (c) -2 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 73. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 11:35 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**5 + 5*z**5 - 8*z**2 + 18*z**5 - 21*z**5 - 5*z + 6*z**3 + 16*z**4 = 0. What is z?\nAnswer: -1, 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 6*k**2 + 6*k + 1. Let w be j(-5). Calculate the common denominator of (-4)\/(-6)*(-78)\/40 and (w*(-3)\/18)\/((-170)\/285).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(-2*g - 2*g + 3*g)*(-25497 + 25497 + 17*g**3) to v*g + s*g**3 + j + u*g**2 + h*g**4 and give h.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -19. Let q be 1\/(2 + (-21)\/c). Let t(m) = m - 4. Let y be t(q). Round y to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*o + 2954 = 338*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265023693\/2 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.8 - -11. Let t = 0.8 - z. What is the third biggest value in t, 0, 2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmzzmmmpmzmm. Give prob of picking 2 z and 1 p.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 0*b**3 + b**3 + (3 + 2 - 3)*(-2*b + b - 5*b)*(8*b**2 - 6*b**2 - 31*b**2) to w*b**3 + g + u*b**2 + h*b and give w.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -10 - (51 - 104).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h + 1. Let d be 0\/(1\/1) - 4. Let z(b) = 4*b - 8. Let r(w) = d*c(w) + z(w). Factor r(s).\nAnswer: 4*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1. Let l be -3 - (-8 - (1 - -1)). Suppose 5*p + 2 = l*p. Suppose p = -s - h, 35 = -5*s - 0*h + h. Let j(v) = v**2 - 6. What is s*x(d) - j(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143\/14 - -2173\/210. What is the closest to 0.5 in 1\/2, 6\/11, 3\/13, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 15*y\/2 + 29\/4.\nAnswer: (y + 1)*(y + 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 482477, -5, 3 in decreasing order.\nAnswer: 482477, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h + 3. Let t be g(2). Solve 4*j + 2 - 3 = l, j = t*l + 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*2\/(-8))\/((-1)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4831 is divided by 773?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g**4 - 42565 + 2*g + g**2 + 42565 to a*g + c*g**4 + h*g**3 + s*g**2 + v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k**2 + 46*k - 7. List the prime factors of v(7).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -188, -988, -2404, -4436, -7084?\n\"Answer: -308*f**2 + 124*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q + 97 + 61 = 26. Let z(r) = -5*r. Let g be z(1). List the prime factors of (q + 104\/(-20))*g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, 69, 178, 341, 564, 853, 1214, 1653?\n\"Answer: a**3 + 18*a**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/360)\/((-1)\/(-2))*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + g - 1)*(-5*g - g**2 + 5*g) + 6*g**3 + 0*g**3 - 3*g**3 + (g - 2*g + 0*g)*(1 - 1 + g**2).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*i = 112*i + 295. Put i, 4, -109, -5 in decreasing order.\nAnswer: i, 4, -5, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2471, 2471, 2479, 2501, 2543, 2611?\nAnswer: 2711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 118.9 and 25962716?\nAnswer: 25962597.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 14. What is the lowest common multiple of h and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3428*l - 3422*l + 68 - 182 = 0 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12))\/((-285)\/(-247)) + -1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-21)\/(-12))\/((-4)\/144). What is the third derivative of l*j**2 + 14*j**2 + 18*j**5 - 9*j**2 wrt j?\nAnswer: 1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 2. Let v be 3\/9 + (-2)\/(-3). What is the closest to -1\/4 in v, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 75 (b) 13 (c) 0.1 (d) 177 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19989 - -40939. Calculate the highest common factor of u and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5210521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen quarters of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 3. Let q be n(5). Let l = 0 - q. Suppose -3*t = 2*s - 18, 3*t - 6 = -0*s + l*s. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, 1, -0.2, -0.01 in ascending order.\nAnswer: -0.2, -0.01, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22179, -44356, -66533, -88710, -110887?\nAnswer: -133064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54400523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -354?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/8446 + 220087\/(-11845) + 11?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93034 + -93032. Suppose 0 + 1\/2*a**y + a - 1\/2*a**3 = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*j**3 - 35*j wrt j.\nAnswer: 348*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 - 3*n + 8. Let m be k(7). Suppose -41 = -2*c - 141. Does 10 divide (m\/15)\/((-3)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = -7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/21)\/((-5)\/((-35)\/(-2)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.98 + -0.02. Let a = -3 + b. Let n = -3.2 + 3. Put a, -3, n in descending order.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 (base 11) in base 6?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -485*n**2 + 974*n**2 - 483*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + -6 + 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.749 + 0.251. Which is the smallest value? (a) m (b) 0.42 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2. Let u be (2 + -3)\/(3\/6). Let d(x) = x. Let o(c) = -2*c. Let n(a) = u*o(a) - 5*d(a). Determine l(n(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = 34. Let u be 0*(5 - (n - 5)). Suppose u = -5*h + 11*w - 6*w + 30, w - 3 = -2*h. Solve l - 4*l - 6 = 0, p + 8 = -h*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 80 (b) 0.4 (c) 1\/7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*c + 140 - 69 - 71 - 116*c - 119*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(252\/408)*(-5403)\/6. What is q rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from xkztt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-2)*100\/1800\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/2 + -9\/10. Suppose 2*h + 14 = -4*r, -5*r + h = -r + 5. Let n = r - -1. Is q > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11903*u**3 + 0 + 0 + 11411*u**3.\nAnswer: -492*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*r + 264. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -22. Let i be 4\/f - (-7 - -7). Which is the biggest value? (a) i (b) -1\/3 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5 + 7*o**4\/5 + 2*o**3\/5 = 0?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 17 = 2*h + 4*v, 2*h + 21 = 3*v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13039*n - 977896. Determine p(75).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**4 - 23*x**3 + 232*x**2 - 28*x - 1124096.\nAnswer: -4*x**3 - 69*x**2 + 464*x - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/19, -4, 5, 1 in descending order.\nAnswer: 5, 4, 1, 2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 389 (c) 2\/13 (d) 0.4 (e) 39 (f) -4 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/2 + 268514*x**3 - 2416599*x**2 + 7249770*x - 14499513\/2.\nAnswer: -(x - 537019)*(x - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-413)\/26 + (-234)\/2028?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**5\/60 + y**4\/4 + y**3\/2 + y**2. Let r be o(-6). Find the first derivative of -4 - 7 + 8 - 20*m**r wrt m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 98 + 21 + (-14 - 25) + 18.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 4*k**2 + 4*k + 2. Let r be o(-2). Suppose -3*h = -2*l + 25, -59 = -2*l - r*l + 3*h. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010000 (base 3) in base 8?\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -0.8\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, k: 11}. What is prob of picking 2 k?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/11, -73.946, 12, -5 in increasing order.\nAnswer: -73.946, -5, -8\/11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -100458?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 19 - 12)*(3 - 7 - 1)*(3 - 3 - 1)*(0*i + 4*i + 2*i).\nAnswer: -450*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 75 = 85 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -763, -1015, -1267?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = 6. What is the lowest common multiple of 2 and 0 + 1 + d + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Solve c + 1 + 1 = 0, h - 3*c - 4 = v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/2 + (-1 - 3))\/(-1). Let k be (l - 0)*(-1 + 8 - 0). Let p(n) = -n**3 + 7*n**2 - 2*n + 8. What is p(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkd when three letters picked without replacement from qfkzqqyqqfdkdqk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*z + 48, 3*z + 2*d - 78 = -z. Let y = 40 + z. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -478*g. Let n(o) = -2*o**2. Calculate n(d(l)).\nAnswer: -456968*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -206, 6\/5, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-7) - (-7183)\/308 and 101\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 10*r\/7 - 4.\nAnswer: 2*(r - 7)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = 3*u - 18, -3*u = -2*w - 9. Suppose 0 = k + 1, -4*y + u*y + 5*k = -2. Suppose -52 = y*f - 7*f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79\/2 + -40. Which is the closest to 1\/3? (a) -12 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390280 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5904\/19? (a) -2\/9 (b) 1\/4 (c) 4\/591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 5164656.\nAnswer: 5164656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z - 3. List the prime factors of o(10).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117 and 22.\nAnswer: -2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 856\/(-10)) + (-2)\/(-5). Let l = v + -82. Calculate the least common multiple of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28451.11t in kilograms?\nAnswer: 28451110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3)\/x**(-1))\/((x*x**(-2)*x)\/x)**(-9\/10) assuming x is positive.\nAnswer: x**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36839 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4309*j + 38966 = -3360*j + 923*j + 200870 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.532 - -0.5. Let r = -0.0319893 - h. What is r rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 = -3*f - f, -4*f - 4*k - 24 = 0. Let q(p) = p**2 - 3*p + 4. Let t be q(4). Is (-39)\/(-2) + f\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/340*(-10)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 11 - 5. Suppose -665 = -13*n + s*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 121*p**3 - 6 - 116*p**3.\nAnswer: 5*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvv when three letters picked without replacement from vvfm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 34, 32 in descending order.\nAnswer: 34, 32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 24642729.5 to the nearest 1000.\nAnswer: 24643000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + (-3 - (-16 + 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 870069811?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {b: 1, l: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + x = -3, -x = c - 3*x - 2. Suppose 0 = -4*b - 2*r + 2 - 0, 21 = 3*b - 5*r. Factor 6*t**5 - b*t**3 + t**3 + t**c - 4*t**5.\nAnswer: t**3*(t + 1)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -5)\/(6\/2).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 + 9*i + 12. Let s(q) = -q**2 + 3*q + 4. Let d(z) = 11*s(z) - 4*x(z). Let h be 3\/(-2)*32\/12. Does 6 divide d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/12 + 40*j**2. Let k(g) = g**2. Let c(a) = -2*a**2 - 28*a - 69. Let p be c(-11). Give p*k(d) - z(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6149489445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1661\/95 - -336\/19. Let g = 490.7 - 491. Let z = -82 - -55. What is the fourth biggest value in z, g, -5, m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 412670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, 0, 3, 44\/3 in increasing order.\nAnswer: -13, -1, 0, 3, 44\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {o: 2, q: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 861 - 227. Let p = 229 - u. Which is bigger: p or -404?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 47, 22, -43, -154?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-96)*-2)\/((-7)\/(-21)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d + 12*d + 15*d**2)*(2*d - 3*d - 5*d)*(0 + 0 + 1)*(-2 + 1 + 2).\nAnswer: -90*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*j - 4 - 13, 5*l = -3*j + 27. What is the highest common divisor of l and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 21. Let n = k + -4. Solve -4*t + 6 = -2*a - 0, -9 = n*a - 5*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12153810?\nAnswer: 2, 3, 5, 17, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 428*l**2 - 6882*l - 239. Give q(16).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 515.4975 nanoseconds?\nAnswer: 0.00000000014319375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 46. Suppose -14*d = -m*d - 21. Let u be (2 + d + -31)\/(1 - 2). What is the highest common divisor of 48 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1233232221?\nAnswer: -1233232221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(45))**2 + 4 + 5 + -1*(-1*sqrt(5))**2 + (sqrt(180) + (0 + sqrt(180) + -2 - sqrt(180))**2 - -3*sqrt(180)*1)*3.\nAnswer: 61 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxcv when four letters picked without replacement from {x: 2, v: 1, c: 2, d: 1, u: 6, z: 3}?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7713004*w**4 - 5483997 wrt w.\nAnswer: 30852016*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2240 = -107*c - 33*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*z - 4*i, 2*z = -0*z - 3*i + 25. Let d be (z\/(-3))\/(((-8)\/(-36))\/(-2)). What is the greatest common factor of d and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 8:04 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152565583?\nAnswer: 283, 539101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 27*v + 28. Let r be c(-26). Find the third derivative of -2362*n + 2362*n - 103*n**3 + 54*n**r wrt n.\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 344 - 329 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 12:28 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*l - 2304*l - 1485 = -1137*l for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 4*d**4 - 6 + d**3 - 2*d**4 + 3*d**4 - 2*d**2 - 2*d as f*d**3 + q*d**2 + r + y*d + u*d**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/3, -0.06, 0.4, 141.4, -0.3 in increasing order.\nAnswer: -0.3, -0.06, 0.4, 55\/3, 141.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 33*r + 2*r**2 - 19*r - 24*r - 9. Let h be k(11). Solve -h*u = 0, -2*v = u - 12 + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3659 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1094, -1562, -2128, -2834, -3722?\n\"Answer: -7*o**3 - 7*o**2 - 398*o - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) + sqrt(104)*2)*3) + sqrt(104))\/(sqrt(128) + 2*sqrt(128) + sqrt(128)) - -4*4*sqrt(468)*-1)**2.\nAnswer: 30951037\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3156835a + -4?\nAnswer: -31568361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43b2 (base 14) to base 11\nAnswer: -8895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -0.018, -1?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + j + 2. Let h(y) = -y**2 + 9*y. Let z be h(9). Let f be a(z). Suppose f*r = 1 - 7. Let c(n) = n**2 + 5*n + 3. Determine c(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 243204914.3 to the nearest 1000000.\nAnswer: 243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42536 + -42536.00033447. Round j to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220222120 (base 3) to base 12\nAnswer: a659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -124 + 124 - o**2. Let y(t) = 8*t**2. Calculate d(y(z)).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 258*i + 51. Let y(q) = -129*q - 26. Let c(s) = -6*l(s) - 11*y(s). Is c(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {f: 3, x: 3, d: 1, l: 3, b: 7, o: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l**5*l))\/l))**(-11\/4)\/(l**(-7\/4)*l*(l\/((l*l**6)\/l))\/l) assuming l is positive.\nAnswer: l**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*k - 0*k - 32, -3*c - 4*k - 25 = 0. Let v(t) = -22*t**3 + 49*t**3 - 26*t**3 - 7 + t + 5*t**2. Is v(c) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5174 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 1. Let h(d) = 21*d**2 + 7*d - 4. Determine h(r) + 4*u(r).\nAnswer: 21*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -36*q**2 + 3*q + 1. Let l(f) = -37*f**2 + 4*f + 1. What is -3*l(h) + 4*u(h)?\nAnswer: -33*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*h + 3*h - h)*(0 + 0 + 1) + 3*h + 2*h + 3*h)*(-1 - 2*h + 1) to the form m*h + s + z*h**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v = 13*v - 27202 - 610. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476976 is divided by 4503?\nAnswer: 4161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*j + 144*j - 11002 + 4147 - 23133 = 0 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1166, 3 in decreasing order.\nAnswer: 1166, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 + 150. Suppose 0 = 2*z - 4*c - 16, -2*z + 3*c + 3 = -5*z. Does 13 divide 56\/2 + z + (j - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 77 + -14 + -3 + 23 + -20?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a week in hours?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(684)*-2 + sqrt(684)) + -2 + sqrt(684) + 1 + sqrt(684))*5.\nAnswer: -120*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.291026 - 14828.\nAnswer: -14828.291026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1191, -1185, -1179, -1173, -1167, -1161?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 6*m - 9*m)*(3 - 7 - 1)*(-2*m - m + 5*m) to the form o*m + x*m**2 + z and give x.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14288161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -58. Solve 0 = -5*n + 2*b - k, -b - 19 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7759985049 to three dps.\nAnswer: -0.776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 68*u + 10. What is c(-68)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7155\/5724*-8*1\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 509333120 divided by 162208.\nAnswer: 3140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2063700 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1289 + 1288.8. Which is the third smallest value? (a) -2.7 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80510709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6655020 and 111\/5545850.\nAnswer: 33275100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 74 = 14. Let r(s) = 6*s**2 + s + 2. Let c be r(-2). What is the greatest common divisor of c and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.653874 rounded to 2 decimal places?\nAnswer: -11.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4) + -7 + -5 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m + 2*m**5 + m + 4*m**5 - 2*m wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23436617.\nAnswer: 23436617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36351, 72711, 109071, 145431, 181791?\n\"Answer: 36360*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*d + 49 = -0*d, 71 = -4*j - d. Let c = j - -15. Let f be ((-32)\/40)\/(c\/5). Solve n + 2*b - 7 = 0, 2*n = -f*b - 2 + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**6\/60 + v**5\/10 - 3*v**3 - 2. Let l(j) be the third derivative of h(j). What is the second derivative of l(q) wrt q?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1199353603 + -13?\nAnswer: -1199353616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -333\/5 + 2341\/35. Let s be (-5)\/(-320)*-6*(-44)\/6. Is s at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3293777285 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f + 104*f = 139968. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91\/6 + -15. Let p be -7 + 5143\/695 + (-6)\/10. Sort p, 7, g in decreasing order.\nAnswer: 7, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/2 - 16070*k**3 - 129859554*k**2 - 11845261280*k - 271661153408 = 0. What is k?\nAnswer: -16024, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*v**2*w**2 - 18*v**2 - 2*v - w**2 - 354*w wrt v.\nAnswer: -106*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelcc. Give prob of sequence cc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 - 0.07. Let p = a + -0.3. What is the closest to 0.2 in p, 2, 5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*a - 2*v + 14, 32 = 4*a + 5*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/8 - 159*g**4\/8 + 1307*g**3\/2 - 10479*g**2\/2 + 4606*g = 0.\nAnswer: -188, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 5270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from awslx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6281*w**3 + 24396*w**3 + 12826*w**3.\nAnswer: 43503*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.75 - -3.5. Let p = 30.75 - j. Let b = p + -25. Which is smaller: b or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 435b39b - -4?\nAnswer: 435b3a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2. Let c(o) be the second derivative of 3*o + 0 + 0*o**2 + 1\/3*o**3. Give g(c(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b*b**2\/b*b*b)\/b)\/b)\/b)\/(b*(b**(-1)*b*b*b)\/b)*b**5*b*b*b*b\/((b\/b**(-2\/11)*b*b)\/b) assuming b is positive.\nAnswer: b**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 0. Let o be 3 + 0 + j + 3. Let s be o*2\/(-3)*-9. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 - 246*r + 1314. Give i(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:04 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*c - 2. Let g(s) = 3*s**2 + 19*s**c + 10*s - 16*s + 2*s**2. Let h be g(8). What is h rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 + -318. Let f be d\/(2 + (-8)\/12). Solve -3*o + 6 = f*z, -4*o - 3*z + 0*z + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 - 5*p. Let h(n) = -6*n**2 - 130*n - 6. Let u(t) = -5*t**2 - 86*t - 4. Let y(f) = 2*h(f) - 3*u(f). Determine -2*r(s) + 7*y(s).\nAnswer: 3*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 317686417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*u = -24, 3*u + 27 = -238*m + 241*m. Solve m*t = -115 + 175 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*g = 44, b + 5*g = 6*g + 15. Calculate the lowest common multiple of 10 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(10\/9)\/v)\/(v*v\/v**(-7\/2)))\/(v*v*v**(19\/3)*v**(1\/3)\/v) assuming v is positive.\nAnswer: v**(-235\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**2 - 11*i + 70. Determine r(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 3:06 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11*c**2 + 6*c - 14. Let u(r) = 5*r**2 - 3*r + 7. Let y(d) = -6*h(d) - 13*u(d). List the prime factors of y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/2 - 83*w**4\/2 + 1761*w**3\/2 - 1517*w**2\/2 - 1681*w = 0. What is w?\nAnswer: -1, 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3904493 to the power of 1\/2, to the nearest integer?\nAnswer: 1976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 74.\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -184, -174, -162, -148, -132?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9a7 (base 11) to base 4\nAnswer: -102312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2) + (-17 - 77). Let q = y + 306. Suppose -t + 4 = -q. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + 27908?\nAnswer: 28006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w = 37*w + 70 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12168 and 1170.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 717.\nAnswer: 30831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 36330205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2891590 and 1943435?\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281877*i**3 + 4006654 with respect to i.\nAnswer: 845631*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 + -286 - (6 - -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -457, -1794, -4001, -7060, -10953, -15662, -21169, -27456?\n\"Answer: 3*s**3 - 453*s**2 + s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0646 - 537.7646. Let x = s + 589. What is x rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 7656?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77370240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*o**2 - 3*o**5 - 26*o**2 + (-3*o**2 + 0*o**2 + 4*o**2)*(-5*o**3 + o**3 + 2*o**3).\nAnswer: -5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5156424 by -2361.\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -7. Let l(f) be the second derivative of 1\/4*f**4 - f**2 + 0 + 1\/6*f**3 + 1\/20*f**5 - 5*f. Determine l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3237 is divided by 116?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 w when four letters picked without replacement from {w: 5, c: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 716?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 8*l**2 - 7*l + 2. Let a be h(7). Suppose -32 + a = -3*c. Let g(r) = 8*r + 2. Let t be g(1). What is the greatest common factor of t and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 72. Suppose 2*s = -7 + 27. Suppose -d = -5*c - s. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + k)*(-k + 6*k - 4*k) + k**2 + 2 - 2 + 18*k**2 + 34*k**2 + 9*k**2 + (-1 + 1 + 1)*(2*k**2 - 4 + 4) in the form g*k**2 + j + t*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(2*d - 3*d + 3*d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 1. Let j(c) = 7*c**2 + 8*c + 2. Let p(r) = 12*r**2 + 15*r + 5. Let a(m) = 5*j(m) - 3*p(m). Suppose 0*h + 20 = -4*h. Calculate h*x(v) - a(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19848.843 minutes to weeks.\nAnswer: 1.96913125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 716800155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -78. Let y = -0.0427 + 0.1427. Sort -2, l, y, -1\/12 in decreasing order.\nAnswer: y, -1\/12, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -4*h**3\/3 - 3*h**2\/2 - h. Is 5 a factor of l(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 3*t - 7, 0 = 5*t - 5*p - 25. Suppose s = -u - t, -u - 1 = 3*s + 12. Let w = -1\/238 + 481\/1190. Which is the nearest to w? (a) s (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0858793808 rounded to 4 decimal places?\nAnswer: 0.0859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence httt when four letters picked without replacement from huuuuuttt?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6155608 is divided by 1479?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 239, -1509.\nAnswer: -1509, -3, 239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (470\/(-47))\/((-1)\/(-1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175956, -175958, -175960, -175962, -175964, -175966?\nAnswer: -175968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5520292\/3 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1333 - 9334\/7. Which is the second smallest value? (a) 2\/27 (b) p (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.95, -6\/5, -161\/10.\nAnswer: -161\/10, -6\/5, -0.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*l = 4432088 + 9115208. What are the prime factors of l?\nAnswer: 197, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21200022221 - 1102202?\nAnswer: -21201202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 19 + 143. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, 663, -7\/71, 4 in ascending order.\nAnswer: -7\/71, 4, 186, 663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 364*v**3 - 77 + 569*v + 573*v - 1142*v with respect to v.\nAnswer: 1092*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*v. Suppose -c - v*m - 822053 - 2077967 = 0, 3*m - 8699988 = 3*c. What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12076 (base 15) to base 8\nAnswer: 160216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23*q**3 + 4*q**2 - 3*q + 1. Let w(l) = l**3 + l**2. What is -4*w(o) + y(o)?\nAnswer: 19*o**3 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f + 4. Let v(j) = 2*j - 1. Calculate 2*l(c) + 9*v(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 (base 14) in base 12?\nAnswer: -42b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4, 3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410365245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51 and 8?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0*20557\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-14)\/8 - (-57)\/4. Suppose -x = m - b, x - 17 = m - 3. Suppose 2*f - x = -0*f. What is the least common multiple of 6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93781.45 centuries?\nAnswer: 9378145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3444035.\nAnswer: 5, 7, 19, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 2*c**3)*(-9*c + 9*c + 16*c**2) - 9*c + c**5 + 9*c + (c**4 + 0*c**4 + c**4)*(-c + 5*c - 3*c).\nAnswer: 35*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.4, -14\/89, 1.04, -2?\nAnswer: -14\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -26810 and -9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-52)\/(-195))\/(4\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20796*d + 2729*d + 9074*d.\nAnswer: 32599*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-13\/3)*v**(3\/4))\/(v**(-6)*v**19) assuming v is positive.\nAnswer: v**(-187\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 49*x + 49*x - 2568. Let v = 0 + 1. Let q = 5 + v. What is the greatest common divisor of q and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-634*c + 11*c**2 + 10*c**2 + 632*c)*(-3*c + 3*c + c) as b + a*c**2 + u*c**3 + o*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 7*p + 15. Let r be g(5). Suppose r*b - 609 = -2*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4 + 5*k + 6*k - 13*k - 18*k. Let q be w(-12). Suppose -q = -5*d + 334. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m - 36. Let d be k(15). Suppose 4*a - 7*a + d = 0. Solve -2*j = -f + j - 12, 4*f + 2*j = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*m = -3*m - 277, 0 = m - 5. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.05. Let s = 0.132 + 0.498. Let d = -0.37 - s. Which is greater: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, 28, 51, 76, 103, 132, 163?\n\"Answer: r**2 + 18*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-2)\/(-4) + -2. Let m(y) = 22*y + 115. Let o be m(-5). What is the smallest value in i, o, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-804)*(1 - -3). Let d = -83823\/36113 - -1004\/539. Let q = d - s. Which is greater: -0.1 or q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glnwlsgw. Give prob of sequence lw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -17.91. Let z = 0.013 + g. What is z rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g + 5*v = 31*g - 278, 183 = 3*g + 9*v. Is g greater than or equal to -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 8*v - 4*v**3 + 2*v**3 - 29*v + 29*v to b*v**3 + h + c*v + w*v**2 and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -1.8.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + u + 8 + 3, -40 = -5*l - 4*u. Let g(t) = -7*t + 6. What is g(l)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*h = -41657 - 42920 for h.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 14*h**3 - 3*h**2 + 3*h + 3. Let l(i) = -29*i**3 + 7*i**2 - 7*i - 7. Suppose -5*f - 1 = -4*p, -30 = -2*f - 40. Give p*l(w) - 14*x(w).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 - v + 1. Let t(i) = -13*i**3 + 3*i**2 + i + 3. What is -a(s) + t(s)?\nAnswer: -12*s**3 + 2*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/72 + 23*q**3\/36 + 2*q**2 - 164*q. Factor b(v).\nAnswer: -(v - 24)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1287478 less than -1287568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*b + 109 = 69, -p + b - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -597 + 991. Let i = 392 - w. Which is the second smallest value? (a) 4 (b) i (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200780 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - y - 11. Suppose -2*r - 30 = -5*r. Is l(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 + -95. Suppose -175 = -2*r + v. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991347493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -h - 4, 4*h = 3*m - 2 - 10. Suppose m*u - 15 - 5 = 0. Solve u*p = -10 - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 6) + 2 + 18. Solve 49 + 27*s + m*s - 7*s + 0*s**3 + s**3 - 13*s**2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 1 - (2 + (47 - 65))) + -49 + -1\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 2\/3 (b) 2\/11 (c) 9 (d) -0.07 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 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: Let j(t) = -t**2 + 6*t - 2. Let l(y) = -y**2 - 10*y + 2. Let u be l(-10). Suppose z + z + 5*w + 13 = 0, -u*w = 10. Give j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2\/8 + 514071*h\/8 + 514077\/4 = 0 for h.\nAnswer: -2, 171359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157166 <= 28929136\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 21193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4844816 is divided by 388?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 13*c**2 - 7*c**2. Let r(w) = 10179*w**2 - 10184*w**2 + 2*w - 2*w. Give r(j(b)).\nAnswer: -1280*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b - 15 = 3*k + 62*b, 5*b + 15 = 5*k. Which is greater: -7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 957*t + 92366. Calculate n(-313).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-50 + 83 + 36)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeqq when four letters picked without replacement from {o: 4, q: 9, e: 4}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*(sqrt(170) + sqrt(170)*1*5))\/((4*-2*sqrt(110))\/sqrt(11)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + 5 + -28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/64454 and -32\/3963921.\nAnswer: 7927842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let i(a) = 8*a**2 + 6*a. What is i(y(u))?\nAnswer: 8*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.5 (c) -0.4 (d) -15 (e) -46.561\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-745)\/(-7)*8\/260. Let a = k - 50\/13. Let d = 0.02 - -0.08. What is the biggest value in a, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*w**4 + 5*w**3 - 3*w**3 + 43*w**4 - 4*w**3 - 29*w**4 + 1 - 21*w**2 in the form t*w**3 + l + r*w**4 + m*w**2 + g*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 123542 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/147 and -47\/9.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/(-4) + 2\/(-8). Solve -5*p + 36 = 4*s, -s - 4 - 8 = -y*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 12:27 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 19*t**2 - 4 - 6 - 18*t**2 + 0*t. Let k be (-3 + 1)*-2 + 2. What is the units digit of x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*t + 2*z, 2*z + 46 = -5*t + 67 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 4*q - 2. Let v = 5 + -9. Let d = -382 + 383. Let r(h) = h + h**2 + 1 - 1. Determine d*z(m) + v*r(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -14. Let y(i) = 9*i - 9. Let c be y(z). Solve c = -0*d - 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (9*(-3)\/(-9) - -3). Suppose -i + 5*g + 2 - 1 = 0, -5*i - 5*g = 25. Let r be 206\/8 + 3\/i. What is the greatest common divisor of l and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3645 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*c = -528*c - 156*c + 41756 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 2*i - 3. Let k be l(3). What is the common denominator of 322\/483*32\/(-6) and (-5)\/(35\/k) + 0?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30120999578.274 - 40788204.274. Let x = b - 30080211512.99999791. Let d = x - -139. Round d to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 878 + -877. Let h(v) = -3*v**3 + v - 1. What is h(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 200?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -157*x. Let n(s) = -289*s**2. Give z(n(c)).\nAnswer: 45373*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 22. What is d(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 17 and 7.2014?\nAnswer: 9.7986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78248 (base 9) to base 5.\nAnswer: 3130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1873, -1210, -99, 1466, 3491, 5982?\nAnswer: 8945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from lglggggggglllggolggl.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:42 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*n + 291*n - 56*n**4 - 142*n + (3 - 4 + 2)*(-2*n**4 + 0*n**4 + n**4) + 0 + 2*n**4 + 0.\nAnswer: -55*n**4 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4) - (35\/(-50))\/(684\/2565)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3999, -4047, -4147, -4317, -4575, -4939?\n\"Answer: -3*l**3 - 8*l**2 - 3*l - 3985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m + m**2 + 0*m**3 + 3 - m**3 + 0*m. Let a be (86\/(-172))\/((-2)\/(-8)). Let r be t(a). Calculate the highest common divisor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*n + 330 = 486*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -317, -323, -329, -335?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 - s - 3. Let k(x) = -4*x**2 - 2*x - 4. Suppose 13*o + 19*o = -96. Determine o*k(y) + 4*z(y).\nAnswer: -8*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -876139, -876170, -876201, -876232?\nAnswer: -876263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 317?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 y, and 1 e when four letters picked without replacement from vvyowwjeowewjweyjw.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**0*t*t))**42\/((((t\/(t*t\/(t**1*t)))\/t)\/t)\/((t\/t**7)\/t)) assuming t is positive.\nAnswer: t**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 20*u - 41. Let x be w(-22). Let o(g) = 8*g**3 - 5*g**2 + 11*g - 5. What is the units digit of o(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 4342 + -4342.00002381. Round m to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65891 or -65873?\nAnswer: -65873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 4 = 4*m + y, 0 = m + 3*y + 5. Let s be 3 + (m - (-3 - 2)). Solve -3*t + t = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m + 1. Let u be k(5). Let s(b) = b**3 - 9*b**2 + 8*b - 6. Let f be s(8). Let a = u - f. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8379 by -1197.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -17. Let h(y) = 7*y - 5. Let x(s) = -8*s + 6. Let w(q) = t*h(q) + 5*x(q). Let a(g) = -10*g. Give a(w(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551.5 + -552.1. Which is the biggest value? (a) 2\/15 (b) -3 (c) q (d) 0.89 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -62*q - 547. Let d be t(-9). Solve d*p - 45 = -1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 996630.3 milliseconds?\nAnswer: 996630300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -1, -2 in descending order.\nAnswer: -1, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k + 28. Let r be l(-8). Suppose -6 = -3*h, 8 = -4*n + 2*h - r. Which is smaller: -68\/3 or n?\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 0*f**7 + 0*f + 0 + 1\/6*f**4 + 0*f**5 + 17*f**2 + 0*f**3 + 5\/21*f**8 + 0*f**6. What is the second derivative of s(r) wrt r?\nAnswer: 1600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, 0.4, 2231, 0.1 in decreasing order.\nAnswer: 2231, 5, 0.4, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4761098 and -230.\nAnswer: 4760868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 + 4*i + 2*i**2 + 413*i**3 + 0*i - 5*i - 411*i**3 to the form b + o*i + t*i**2 + q*i**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -476041 equal to -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11*v - 4 = -6*v, 2 = k - 3*v. Solve -36 = -10*d - k*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + y - 2. Let q be (7 - 3)*((-2)\/4 - -1). What is k(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 18*z + 12. Let u be d(17). Suppose -34*l - 1585 = -u*l. Let x = l - -560. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 4) in base 8?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 12*n**3 - 46*n**4 - 4*n**3 - 8*n + 42*n**4 + 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*t + 3*w + 12, 4*t + 9 = 5*w. Let u = -14 - -42. Calculate the highest common factor of t and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**5 + 587111*z**4 + 2*z**3 - 5*z**2 + 30115 wrt z?\nAnswer: -60*z**2 + 14090664*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70199547 is divided by 681549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*y = -302128 + 90826. Does 43 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = 3*j + 24, -37270*y + 37271*y + 4*j + 8 = j for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(35)\/(2*sqrt(5)).\nAnswer: sqrt(7)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.93775 millilitres to litres.\nAnswer: 0.06493775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2506735516 to the nearest integer?\nAnswer: 1358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -1176, -3826, -8956, -17394?\nAnswer: -29968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 704.4119 kilograms to micrograms.\nAnswer: 704411900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -90338*k. Let i(p) = p. Determine i(r(h)).\nAnswer: -90338*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) + 35\/(-20). Let w be m\/8 - (-70)\/(-8). Let r = w - -15. Solve r = -h + 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 19 + -18 - (0 - (1 + 365)). Let b = 206 + -427. Let s = w + b. Is 31 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -9, 2016, 1, -3, 4, -6 in increasing order.\nAnswer: -9, -6, -3, 1, 4, 124, 2016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0108 + -774.0108. Let w = f - -774.5. Let r = 34\/365 - -1\/146. Are w and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -132a?\nAnswer: 132a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 0. Let w be -44 - (-2)\/(c - -2). What is the units digit of -2*(w\/6)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -367011 and 84.744.\nAnswer: -366926.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6564 - -6592. Solve 10*x + 98 = t for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28940855023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -30 - (-56 - (-20 + -65)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18944221 and 7?\nAnswer: 132609547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w + 1. Let m = -2 + 5. Is 12 a factor of u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1 + -5*sqrt(180))**2)*3*3*6.\nAnswer: -3240*sqrt(5) + 243000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -498*a**2 - 45807*a + 835. Give p(-92).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120033201 (base 4) in base 2?\nAnswer: -1011000001111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387243, -1547451, -3481139, -6188313, -9668979?\nAnswer: -13923143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -467720 or -467737?\nAnswer: -467720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 35934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12222100102021 + -1?\nAnswer: 12222100102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.4, -5, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + 1 + 4)*-2)**2.\nAnswer: 160*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 294\/((-34986)\/2975)*2\/(-4)*-2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*r + 218*r + 33*r + 173*r + 178*r + 2 as i + d*r and give d.\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 4*m + 46, 4*f - 47 = -45307*m + 45310*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2142\/5 + -428. Suppose 13 + 11 = -2*v. Let r be 17\/(-3) + (-8)\/v. Sort m, 0, r in descending order.\nAnswer: m, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -573.150234 to 0 dps.\nAnswer: -573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.9786 - -1033\nAnswer: 1034.9786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by -7760216.\nAnswer: -91\/7760216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -7*h. Suppose 5*q = 3*v - 22, -v + h*v + 9 = -2*q. Suppose 0 = 2*j - 7 + 13, -3*p + 2*j + 6 = 0. Put p, v, 1 in decreasing order.\nAnswer: 1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 10976.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/306 or 241.4?\nAnswer: -11\/306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -7?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 + 141.9. Let q = 61 - w. Which is smaller: 0.29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875664 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*j - 226*j - 175 + 166 to y + a*j and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4402342104 (base 5) in base 12?\nAnswer: -31a2570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 10:26 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + 6*(5 + -2 + sqrt(1216) + -3 + sqrt(1216) + 1))**2.\nAnswer: 768*sqrt(19) + 175125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqz when three letters picked without replacement from vlqlzxxxsxxqsxxv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (-4 + 25 + -44 + 50)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(300) + 1 + (sqrt(3) - (1 + sqrt(3))*-5)).\nAnswer: -64*sqrt(3) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154308768.\nAnswer: 2, 3, 29, 43, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 4. Suppose 3 + 14 = -c. Let f = 17 + c. What is the smallest common multiple of n(f) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 0*o + 0*o)*(o**2 - o**2 - 3*o**2)*(-5626*o - 4486*o + 1517*o) + 2*o**4 - 2*o**4 + o**4 as d + n*o + c*o**3 + z*o**4 + m*o**2 and give z.\nAnswer: 25786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571230 equal to 1571217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/1889 - 1924\/13223. Sort -1.1, -2\/3, 0, l in descending order.\nAnswer: 0, l, -2\/3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.6*-1.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070827 rounded to six decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -893*d**2 - 899*d**2 + 1793*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2038*p - 1550*p - 475*p + 644*p to the form s + w*p and give w.\nAnswer: -3419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/6*9*6\/(-18). Suppose -v*f = -21*f. Solve 4*d + 3*t + 7 = f, 3*d + t = 7*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x**2)*(-3 + 17*x + 3)*(-3*x + 6 - 6).\nAnswer: -51*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5493.3 rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - 132. Let f = 169.999965 + z. Round f to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -22374, -44728, -67080, -89430, -111778, -134124, -156468?\n\"Answer: h**2 - 22357*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (8 + -1 - (3 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(65)\/(6*(sqrt(5) - sqrt(80))))**2).\nAnswer: -311\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79742, 79736, 79720, 79688, 79634, 79552?\nAnswer: 79436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 602 + -606.33. Let i = -0.33 - z. Sort 6\/7, i, -6 in decreasing order.\nAnswer: i, 6\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 86*g - 471. Is 45 a factor of z(-53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 22*q**3 + 11*q**2 - 11*q. Let s(f) = f**2 - f. Let y = 2406 - 2407. What is y*m(i) + 11*s(i)?\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/39 (b) -9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (9\/4)\/(18\/(-48)). Let z(x) = -x**2 + x + 10. Let n be z(0). Suppose -7*m = -2*m + n. Put h, m, -11 in decreasing order.\nAnswer: h, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228)*1 + sqrt(228))\/((sqrt(144) + (-3*sqrt(144) + sqrt(144) - sqrt(144)) - sqrt(144))\/sqrt(12)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -234\/541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 4 = -15*w - 2*n, 0 = -5*w - 5*n. Solve 2*l + 5 = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - -545?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*n + 803*n - 8725 = -3025 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let i = 49 + -35. Let b = i - l. Is 15 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 - 2 - (-1 - 1). Suppose -q = -m + 5*m. Is -19*((-3)\/m)\/(-1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 divided by -4.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 597145112*v**2*z**2 - 53393611*v - 4*z**2 - 2*z wrt v.\nAnswer: 1194290224*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*365934\nAnswer: -182967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 18, 3*o - 96*s = -103*s + 226872. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 45 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65572?\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(0 + sqrt(2057)) - (-4 + sqrt(2057) + 1)))**2.\nAnswer: -9900*sqrt(17) + 1851525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-5 - -4) + -34). Let t = v + -39. Is ((-53)\/4)\/(((-20)\/(-32))\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1157)\/(-104) - (-2)\/(-16). What is the highest common factor of 6369 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 0.26\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3 - 12. Let r be (1 - u)*5\/(-2). Let w be 2\/(4 - 2)*20. Solve -2*b - w = 2*x - 0*x, 5 = 4*b - r*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37510780 by -37510780.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 367020487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.74. Let y = z + 0.14. Let u(d) = d**3 - 7*d**2 + 8*d - 8. Let r be u(6). What is the nearest to 2 in 2, r, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p - 2*p - 4*p. Let q(o) = -3*o + 7*o + 7*o - 20*o + 7*o. What is n(q(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5980, 545\/3, 1?\nAnswer: 5980","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 2:25 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 1 - (-15)\/35. Let t = -0.56 + -0.54. Let d = t + -1.9. Which is the second smallest value? (a) f (b) -2\/15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 9, z: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f + 25. Let m(c) = -4*c - 26. Let a(r) = 6*i(r) + 5*m(r). Let g be a(8). Suppose -5*p - l + 424 = -5*l, -3*l = p - g. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + u + 956 + 2554 = 0, 2*r + 7016 = 2*u. What is r rounded to the nearest 100?\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1597, 1, 4, -1 in ascending order.\nAnswer: -1597, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**15*s)\/s))\/s*s*s**18)\/((s\/(s**(-13)*s))\/(s\/(s\/(s**(-17)*s)))))**(2\/69) assuming s is positive.\nAnswer: s**(-50\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 272178?\nAnswer: -81653.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 10:38 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5653, 5652, 5651, 5650, 5649?\n\"Answer: -o + 5654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Suppose 0 = -n*a - a + 11700. What is a rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 + (1 - 2 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100010101011010101110100 (base 2) to base 6.\nAnswer: 522501140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (320\/35)\/(62\/217)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 28 = 7*l. Suppose -3*x - 5*j - 10 = -41, 4*x - 13 = -j. Solve -3*k - 5*a + 25 = 0, 2*k - x*a - 20 = -l*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 14*l**2 + 3. Let k be z(-14). Suppose -k*i + 133 = -110. List the prime factors of i - (12 + -4 - 4).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -3\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1303.1 + 1303. Sort -1\/5, 8, k, 18.\nAnswer: -1\/5, k, 8, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5605 by 5.\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -3, -2\/11, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*u + 116*u + 9284 = 89*u for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 3*l - 13, -7*a - 26*l + 56*l = 26*l + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*j**4 + 4220*j**3 + 4235*j**2 + 1060*j.\nAnswer: -5*j*(j - 212)*(2*j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/14)\/(27\/243). Is -11 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-15)*30\/9. Suppose 1266 + 1073 = 3*r - 5*n, s*r - 1562 = 2*n. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:54 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 12*a**2 + a + 180. Let o be z(-11). What is the greatest common factor of 15 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 14. Let u(a) = 2*a - 13. Let m(j) = 3*f(j) + 2*u(j). Let k be m(-14). Suppose x = 5*x - 8, -16 = -2*v + k*x. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1103*i**3*k**3 - 48*i**3*k - 6*i**2*k**3 - 147*i - 3*k**3 + k**2 + 34*k wrt i?\nAnswer: 6618*k**3 - 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*p - 1, -4*o - 26 = -2*p + o. Let v = -8 + 8. Suppose 0 = -v*d - 4*d + 24. Solve p*u + 3*h = d, -2*h = h - 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, w: 3}. What is prob of sequence bbw?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640565261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -111 and 13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -102, -122, -144, -162, -170?\n\"Answer: p**3 - 7*p**2 - 6*p - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 69 + 25 + (1 - 56)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkvxkvvkvknkkvvk. What is prob of sequence vxv?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 377968*j**2 + 13*j + 377967*j**2 - 3 + 28 + 14*j.\nAnswer: -(j - 28)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78713539.9999857 + 78713270. Let g = z + 270. Round g to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -12. What are the prime factors of (87\/4)\/(l\/576)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 709744.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*d + 402 = 0, 4*q - 5*d + 7 = 389. Let t = -87 + q. Suppose -8 = t*a - 85. What is the remainder when 31 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1736\/237 + 2\/237. Is 6 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775154.\nAnswer: 2, 387577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + ((sqrt(132) - (sqrt(132) - 2*sqrt(132)))*6 - sqrt(132)))\/(sqrt(12) - sqrt(24)\/(2*sqrt(2))))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 24. Suppose -4*x = 2*w - 2, x = -4*w + w + v. Let k(j) = w + j - 2*j + 2 - 3. Calculate k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.39 + -0.11. Let u = p - -2. Let k = 0.6 + 1.4. Sort -4, u, k in decreasing order.\nAnswer: k, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -41*s**2 + 578*s - 31. Give k(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368863619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 6:39 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 22*r**2 + 65*r - 499. Determine b(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:44 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19469 + -19249. What is the nearest to 2 in 3, w, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/50 + (-54)\/(-10). Solve 29 = -w - 3*w + x*q, -2*w + 3*q - 17 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -16, -49, -100?\n\"Answer: -9*o**2 + 12*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/11 - 7) + 62\/22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*s**3 + 60 + 0*s**3 + 60*s**3 + 75*s**3 wrt s.\nAnswer: 375*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16428 and 99641?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345933 is divided by 171.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.08. Let w = p + 0.38. Put w, -1, 1 in decreasing order.\nAnswer: 1, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07996 + -0.075176. What is n rounded to 5 decimal places?\nAnswer: 0.00478","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*j + 76 = 0, 26*g - 6*j + 45 = 29*g. What is the remainder when 453 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29 and 5177529546?\nAnswer: 5177529575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 - 58. Let m(p) = 868*p. Determine m(a(x)).\nAnswer: 868*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 16\/5*f**5 - 46\/3*f**4 - 162*f**2 - 2\/15*f**6 - 96*f**3 - f + 4. Factor m(y).\nAnswer: -4*(y - 9)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 2*c**2 - 10*c - 47. Let o = -77 - -69. What are the prime factors of h(o)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455215 and 22635.\nAnswer: 2515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12925039 a multiple of 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = v + 4*g, -3*v + 6 = -2*g. Solve -l + 6*l = -4*s + 17, -s + 8 = v*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56548*h**3*i**2 - 2*h**3*i - 1292*h**2*i + 2*i - 1 wrt i?\nAnswer: -113096*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8714, -12900, -17086, -21272?\nAnswer: -25458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4\/5, 0.94, 2\/3?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**8\/6720 + l**7\/1260 + 7*l**6\/720 - l**5\/24 - 181*l**4\/12 - 68*l. Let w(h) be the third derivative of c(h). What is w(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q + 84*q = 4*d - 15146, 3803 = d + 2*q. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 22*h**2 + 7*h + 84. Determine u(-11).\nAnswer: 4000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*j = -r + 14, -3*j + 26 = 4*r. Let y = 27 - 30. Which is the nearest to -1? (a) y (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2\/15, -0.14 in ascending order.\nAnswer: -0.14, -2\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15544 and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218414\/17 - 12848. Let l be (-100)\/(-36) + 2\/9. Let q = 4 - l. What is the nearest to 0 in t, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Suppose 3*h + 35 = m*j, -5*h = j - 3*h + 5. Solve -q + 14 = -4*q - j*s, -s + 5 = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27036 and 8577?\nAnswer: 25765308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93371 - 45774. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Let j(u) be the third derivative of -u**4\/4 - 2*u**3\/3 - u**2 + 14. Let w(h) = 4*h + 5. Let a(r) = 6*j(r) + 5*w(r). Give y(a(b)).\nAnswer: 32*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -61*b**2 - 6*b + 6. Let y(q) = 61*q**2 + 5*q - 5. Determine -6*y(w) - 5*z(w).\nAnswer: -61*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 - -4748505.\nAnswer: 4748525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/46900 and -26\/3015.\nAnswer: 422100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*2*sqrt(44)*4 + ((sqrt(44) + sqrt(528)\/sqrt(192))\/((sqrt(32) + sqrt(512))\/sqrt(8) - sqrt(4)))**2)*-2.\nAnswer: -192*sqrt(11) - 787\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t. Let u(b) = b**2 + 6*b + 7. Let j be u(-6). Let v(m) = -10*m + j*m - 8*m. Calculate v(z(n)).\nAnswer: 77*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930.0433 meters to centimeters.\nAnswer: 93004.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 - 2*a**2 - 2*a - 767. Let g(z) = 4*z**3 + 2*z**2 + 2*z + 763. What is -5*g(j) - 6*w(j)?\nAnswer: -2*j**3 + 2*j**2 + 2*j + 787","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1110, 1156, 1202, 1248?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (2 + 4 + -33)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.886\nAnswer: -1.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (sqrt(144) - sqrt(144)*-1))*4)\/sqrt(12))\/(sqrt(324) + (3*-2*sqrt(324) - sqrt(324)) + sqrt(324)).\nAnswer: 4*sqrt(3)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let z(l) = 31*l**2 + 19*l - 3. Let u(a) = 154*a**2 + 102*a - 16. Let r(t) = 3*u(t) - 16*z(t). What is r(x(d))?\nAnswer: -34*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 5*i. Let b(n) = -4*n**2 - 6*n. Let z(g) = 5*b(g) + 6*x(g). Let o(l) = -2*l**2. Give 11*o(f) + 2*z(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a millimeter in micrometers?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, 293, 292, 291, 290, 289?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and -21\/4378?\nAnswer: 21890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 7*n**2 + 5*n + 6. Let k be o(-6). Suppose 4*l - k = -j, 4*j + 0*l - 2*l = 48. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172107227 rounded to 6 decimal places?\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/7 + 27*y**4 - 3531*y**3\/7 - 1305*y**2\/7 + 3672*y - 21060\/7 = 0. Calculate y.\nAnswer: -78, -3, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) -13\/4 (c) -2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.89, -2\/9, 1?\nAnswer: -1.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**2 + 4*f - 1. Let c(p) = -37*p**2 - 11*p + 2. Suppose 6*q = -5*u + 46 - 8, 3*u = 5*q - 3. Calculate q*c(g) + 8*a(g).\nAnswer: -15*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psv when three letters picked without replacement from {s: 1, v: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000246847 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/17, -3\/2, -0.1 in ascending order.\nAnswer: -3\/2, -1\/2, -0.1, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3 + t + t + t + 6*t**2 - t. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z - 2*z + 2*z + (z - z + z)*(-2 + 2 - 1) - z + 1 - 1 + 0*z - 3*z + z - 3*z - z - 4*z - 58*z - 10*z - 293*z.\nAnswer: -374*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Let m = 4.06 - 4.26. What is the third smallest value in -4, 0.1, r, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 + 16225592*g + 64902336 = 0 for g.\nAnswer: -8112792, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 7*n + 2421 - 2421 + 0*n**2.\nAnswer: -2*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 3. Let q be (3\/9)\/((-1)\/j). Let y = q + 1. Solve 2*i + 2*g = -6, -i + 11 = -3*i + y*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 45 = 47*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1000 and 875?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 6:49 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 4 + 4)*(56 + 68 - 1495)*(0 + 2 - 4) to i*b + z*b**2 + t and give z.\nAnswer: -5484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 3 = 2*p. Suppose 2*s = 2*q + 4, s - 3 + 1 = 3*q. Solve p = -s*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.2632 + 0.2678. Let y = -3 - c. Round y to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 + 173. Let s = 93 - m. Solve s*b = -3*j, -3*j = 2*j - 4*b + 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0.8, -144, 1\/4 in ascending order.\nAnswer: -144, 1\/4, 0.8, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (-4*sqrt(104) - sqrt(104)))\/sqrt(2)*-1 + (sqrt(13) - (sqrt(832) + 3*sqrt(832))) + -2 + sqrt(52))**2.\nAnswer: 164*sqrt(13) + 21857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((12\/34)\/((-298)\/149))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1216) + sqrt(1216))**2 + ((sqrt(114) + (sqrt(114) - sqrt(114)*-3))\/sqrt(6))**2.\nAnswer: 19931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808*j - 21546 = 628*j - 2770*j - 3846 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 14. Suppose 3*a = -2*a + x. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 223 - 287. Let a be 9 - (-824)\/i - 1. Which is smaller: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2621 = 4*x - 557. Round x to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*v + 23*v - 2533 = 62*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxuxxuxuuxxu. Give prob of picking 3 u.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q - 2. Let u be k(2). Suppose -8 + 16 = u*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-3\/5)))**(-2\/39))**11 assuming t is positive.\nAnswer: t**(-22\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 32.2. Which is the closest to -4? (a) 2\/3 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -936829.9 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, o: 5}. Give prob of picking 2 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75618097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*sqrt(44)*-1 - -2*sqrt(44)*-5)\/(sqrt(24)\/(sqrt(60)\/(sqrt(40)\/sqrt(4)))).\nAnswer: -16*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3 - a**2 + 5*a + 2. Let t(v) = 6*v**3 + 2*v**2 - 6*v - 3. What is -4*q(y) - 3*t(y)?\nAnswer: 2*y**3 - 2*y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -200 and 3.\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 125788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 3*k**2 - 3*k**2 - 7*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6*f + 1. Let p(s) = -s. Let g = -188 - -222. Determine g*p(j) + 6*m(j).\nAnswer: 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -5*h - 6, -h = 3*k + 2. Suppose k = -13*s + 27 + 12. Let g(o) = o**3 - 2*o**2 + 3*o - 4. Give g(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.062. Let d = 12083 - 12082.588. Let z = s - d. What is the third smallest value in -5, z, 5\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)*o*o*o**(-6)*o**4*o**(-2) assuming o is positive.\nAnswer: o**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -661, 3, 2025, 5411, 10167, 16299, 23813, 32715?\n\"Answer: i**3 + 673*i**2 - 1362*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s. Let q = 21 + -22. Give a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 2 - 2 + 4*x.\nAnswer: -3*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 131*h - 7736. Calculate k(59).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2656 (base 8) in base 3?\nAnswer: 1222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + 0)*4.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*p + 95*p + 2611. Let f = -366 - p. Solve -j - 2*v - v = 17, j + v + f = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*((j*((j\/(j*j**(-3\/4))*j*j)\/j)\/j*j)\/j)\/j*j**(-10)\/j*((j*j**(-1))\/j)\/j**(5\/6) assuming j is positive.\nAnswer: j**(-133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3, -1, 67, -2, 22 in increasing order.\nAnswer: -3, -2, -1, 0, 2, 22, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*4*93\/(-744). Factor 0*z + 0 - 6\/5*z**j + 0*z**2.\nAnswer: -6*z**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31021877 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrerrrrrrrrrrrr. What is prob of sequence rre?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5)*4 + 0 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 3*x**2 + 5*x + 8. What is w(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 1\/142, 2, 2\/7, 0 in ascending order.\nAnswer: -29, 0, 1\/142, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38239999*n**4 - 6337708 wrt n.\nAnswer: 152959996*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruc. Give prob of picking 1 r and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083785 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-2)\/(-9)*3)\/(150\/34425) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p. Let h(v) = 3*v**2 + 992*v. Give h(a(t)).\nAnswer: 147*t**2 + 6944*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - a**2 - 15*a**2 + 3*a**2.\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*l**4 - 55*l**2 + 1066*l?\nAnswer: 192*l**2 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -10 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nye when three letters picked without replacement from {v: 1, y: 2, n: 3, e: 1, m: 8, u: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*l**2 + 33226 + 3011*l**3 - 3009*l**3 + 2*l - 33224 to the form w*l + q*l**2 + a*l**3 + o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -15*v**2 - 9*v - 9. Suppose -5*k + 2*k + 12 = 0. Let j(q) = 7*q**2 + 4*q + 4. Let b be ((-36)\/8)\/(3\/(-6)). Determine b*j(i) + k*s(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -89431561 and -3.\nAnswer: -89431564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122849 and -0.171.\nAnswer: -21007.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.4*2.\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2 - g**2 + 3*g - 4*g**2 + g**3 - 2*g - 6. Suppose -5*c - 3*u - 6 = -37, 5*u = 5*c - 15. What is l(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - 0. Let t = n + 12. Solve 3*y**2 + 3*y + 3*y - 10*y - y**t + 2*y**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-33) + (-11)\/6. Suppose -2*l = 3*l + 5*n - 30, -20 = -5*n. Suppose -10 = -l*i - 4. What is the second smallest value in -0.1, i, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/9 + 26*j\/3 - 676\/9 = 0?\nAnswer: 13, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 0*z**2 + 0*z**2 + (-3 - 4 - 3)*(-3*z + 3*z**2 + 3*z) in the form m*z**2 + t + g*z and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 3, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 0.5 (b) -0.2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - 1000110110110011001111?\nAnswer: -1000110110110001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8575170 - 0?\nAnswer: 8575170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -57?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 17*i - 195. Let o be q(11). What is the units digit of (1 + -4)\/(o + (-28180)\/(-3524))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a8 + 39?\nAnswer: -16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 16 = 2*x, -5*n + 16 = -5*x + 3*x. Suppose -2*m - m = 3*r, -x*m = -4*r + 6. Let s = 46.58 - 35.58. What is the closest to -0.1 in s, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1278, -2\/11, -1, -1\/6, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/8 and -139\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -302*a - 195 + 195 + 90*a in the form h*a + f and give h.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112*u - 4*j + 28 = -1116*u, u + 4*j - 48 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4 - 189561*g**3 - 7208190*g**2 + 34139988*g + 95596200 = 0.\nAnswer: -42, -2, 6, 63225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-2)\/28). Let k(l) = 2*l - 8. What are the prime factors of k(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100606*j**2 + 201195*j**2 - 100596*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3 - 3)*(0*k**2 + 4*k**2 - 2*k**2) + 212*k**2 - 3*k**3 + 22*k**2 - 14*k**2.\nAnswer: -k**3 + 220*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103\/17 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 108064 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35f (base 16) to base 9.\nAnswer: -1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471179612 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100 + 111?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829010895?\nAnswer: 3, 5, 53, 1042781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857*k + 152 + 154 - 305.\nAnswer: -857*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -4*x + 45 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 21*r - 48 - 36*r**2 - 9*r + 16*r + 21*r + 21*r. Let c be p(34). Solve -c = 3*b - 8*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -38961, -77925, -116893, -155865, -194841?\n\"Answer: -2*v**2 - 38958*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42.067 and -694?\nAnswer: 29194.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:41 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*n**5 + 284*n**4 - 828*n**3 + 756*n**2 + 108*n.\nAnswer: -4*n*(n - 3)**3*(8*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkgn. Give prob of sequence kkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.66 and 16869720652.\nAnswer: 16869720652.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 - 1 + 1)*(-4*y**2 + 2*y**2 + 0*y**2) + 3*y**4 + y**4 - 2*y**4.\nAnswer: 10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 0*l + 2*l + (-2*l - 2*l + 5*l)*(3 + 4 - 5) - 12*l - l + 4*l to the form n + b*l and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011110101110000 - 1?\nAnswer: 11011110101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13066, -13088, -13174, -13324, -13538?\nAnswer: -13816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69.99 - -66. Let m = 0.01 - j. Let c be (-8 - 120\/(-12)) + (0 - 36\/20). Sort 3, c, m, 6 in increasing order.\nAnswer: c, 3, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c23 (base 13) to base 16\nAnswer: -2a5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 124424248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1139000 rounded to the nearest ten thousand?\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26908770*i**2*t**3 + 3*i*t**3 - 2*i*t**2 - 14*i*t - 1879*i + 31*t**3 wrt i.\nAnswer: -53817540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16794?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5*(872\/(-50) - -17)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-23)\/((-322)\/238)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.815574 seconds to hours.\nAnswer: 0.001893215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113512\/48 - ((-86)\/12 - -7).\nAnswer: 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*t + 12, t + 1 - 4 = -2*n. Let a(b) = -6*b + 15. Let v be a(n). Solve s = 2*s - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 7*k + 52 = 0. Let n be ((-5)\/2)\/(35\/10 - k). Find the second derivative of 9*c**n + 27*c + 5*c**5 + c wrt c.\nAnswer: 280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 295611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -733 or -735?\nAnswer: -733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.11, 981?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 + 17904*r**2 + 3679359*r + 14430780 = 0. What is r?\nAnswer: -195, -4, 6167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 107*a + 20 = 103*a, 0 = -9*y + 2*a + 10. Is y at least as big as 2\/2595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 123 + -116. Solve -4*c - f*o - 32 = -2*o, 5*c + 35 = -5*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7653760 is divided by 423.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 2*q**3 - 17*q + 2*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 37*q**2 + 103*q - 1159. Determine c(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7496, 8376, 10766, 15422, 23100, 34556, 50546, 71826?\n\"Answer: 126*s**3 - s**2 + s + 7370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 537\/7?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(192\/(-18)) - 106\/16. Let a(w) = -w**2 - 10*w - 8. Determine a(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1108961 divided by -158423?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10269, -10273, -10279, -10287, -10297, -10309?\n\"Answer: -h**2 - h - 10267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 22 = -i, -3*i - 3*w = i - 7. Let z(b) = -78*b - 1 + 4*b**2 + 25*b + 24*b + 0 + 27*b. What is the units digit of z(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.13 + 0.13. Let q = -85414 - -85414. Which is the nearest to 0? (a) -1\/3 (b) q (c) 0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3666 and 25121486.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234786296?\nAnswer: 2, 821, 35747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 405, 603, 797, 987?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -236279615 divided by 47255923?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 20 = -2*m - 5*b, -2*m - 2*b + 8 = 0. Suppose 5*h - 10 = 0, -m*h = 3*a - 7*a + 300. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297 (base 10) in base 14?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - i = -4*i - 52, 0 = -5*m + 4*i + 56. Let u = 13 - m. Let y(l) be the second derivative of -l**3\/3 + 3*l**2\/2 - l. Give y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.5 and 3?\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112970 is divided by 56463?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -7*r**4\/24 - 7*r**3\/6 + 2*r**2 - 270*r. Let z(s) = 7*s + 6. Give 4*d(l) + 5*z(l).\nAnswer: 7*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/1545939 and -127\/17749670.\nAnswer: 479241090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 99*v**5\/5 - 5*v**3\/6 + 15*v**2\/2 - 535*v. Find the second derivative of s(t) wrt t.\nAnswer: 2376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2163 - -4325\/2. What is the third smallest value in -454, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(891) - (1*sqrt(891) - sqrt(891))))**2 + 2)*-5 + ((sqrt(891) - (sqrt(891) - (-5 + sqrt(891)*-2))) + -2*sqrt(891)*-6)**2*6.\nAnswer: -5130*sqrt(11) + 530240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*h - 4 = -101*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81? (a) 0 (b) -3 (c) -78 (d) 114 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1, 4\/3, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 32 (b) -0.2 (c) -1\/4 (d) -155 (e) 0.172\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 - x. Let a be v(-2). Let l be (-93604)\/a + -1 + 27\/45. Round l to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475 divided by 95\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/108 in -4\/7, 2, 54, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/141 + 11\/94. Which is the nearest to -1\/3? (a) -1.8 (b) f (c) 4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 21*n**2 - 4*n + 879. Let q be o(-23). Put -1, -4, q, -13 in decreasing order.\nAnswer: -1, -4, -13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*-1 + 14 + -15 + 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m - 307343 = -307343. What is the nearest to m in 0.054, 4, 0.1?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**3 + 28*t**2 + 12*t + 10. Let n(m) = -11*m**3 - 65*m**2 - 26*m - 19. Let q(i) = -9*j(i) - 4*n(i). Calculate q(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minus 281?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 39 + 4*o - 33 + 5*o + 9*o**2 + 14*o - 14*o. Determine j(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 355842 and 7465968.\nAnswer: 395696304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196135.69 - 2152.2?\nAnswer: 2193983.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Suppose l*k - y + 2 = 0, -3*k - y = -5*y + 8. Let z(d) = -d + 3. Let t be z(k). Solve -1 = v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h + 3. Let g(j) = j - 7. Let c be g(9). Suppose 4*r + c = -14. Let t = r + 7. Determine b(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4474*s = 4466*s + 56 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60982 is divided by 231.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 9*s**3 - 2*s + 1. What is the remainder when u(1) is divided by (1 + (-40)\/16)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 9) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*b**3*n**2 - 42*b**3*r**2 + 31*b**2*n**2*r**2 + 3*b*r + n**2*r**2 - n*r**2 wrt b?\nAnswer: 810*n**2 - 252*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 17491 = -17056 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20365 - -20365. Let i be (0 - -3) + (-56)\/8. Sort i, k, -6.\nAnswer: -6, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svy when three letters picked without replacement from {l: 1, s: 1, y: 2, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 7. Let l be 144\/60*b\/4. Solve l*h = -4*j + h - 30, -5*h - 20 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2\/23, -7, -0.68, -2?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from sjjjsjjjjj.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-5 + 3)\/(-2). Let j be 2 - 1\/(0 - d). Solve -j*i + 7*i = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.21 (b) -710 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 9, -4, 169192 in increasing order.\nAnswer: -9, -4, 9, 169192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.364744 kilograms?\nAnswer: 6364744000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 - 4*a**2 + 22*a + 1. Let w(k) = 9*k**3 - 7*k**2 + 37*k + 2. What is 5*s(g) - 3*w(g)?\nAnswer: -2*g**3 + g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -176, -234, -256, -230, -144, 14?\n\"Answer: 2*j**3 - 96*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k - 2. Let p be i(-4). Let j be 2\/((-1)\/50*(2 + -4)). What is the greatest common factor of p and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from nlmlennlleeee?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6639 + 0\nAnswer: -6639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 140\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/2 - (0 + -3). Suppose -300 = 2*x - q*x. Calculate the remainder when x is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - z**3 - 3 + (5 - 3 + 0)*(4 - 4 - 2*z**3) - 1885*z**2 + 2*z**3 - 7 + 1863*z**2 + 7.\nAnswer: -3*z**3 - 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/(-132)*1\/(-13).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y + 23. Let f be v(3). Suppose -f*q - 2*c + 237 = -470, 4*q - 3*c - 561 = 0. List the prime factors of q.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000054133381 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((26 - 27)*17321)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138195370.\nAnswer: 2, 5, 37, 373501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-20)\/(-8)*-174?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqp when three letters picked without replacement from {p: 3, d: 1, q: 1, m: 5, j: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -164, -372, -664, -1040, -1500?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - f + 9. Let b = 0.18 - 0.31. Let h = b - -0.03. What is the second biggest value in -0.5, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.62271ns in days?\nAnswer: 0.000000000001778040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2330 + 1045. Does 27 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/40*(2\/72)\/((-4)\/(-12))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 22 - 34. Let h = -4 + 6. Solve 2*y - h*b - 6 = 0, y + b + o*b = -9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 36 + 3 = -3*a, -3*u + 39 = 2*a. Let m = -11 + u. Solve 5*r + 3*w = -14 - 2, -r + m*w = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k = 0. Let m = k - 20. Let v = m - -21. Put -9, 5, v in descending order.\nAnswer: 5, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 0 + 51\/7 - (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/9132 and -17\/9195?\nAnswer: 27989580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16 = -6*j. Suppose 6*r = j*r + 12. Suppose r*f = -6 - 9. Let o(w) = w**3 + 5*w**2 + w - 3. Give o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12417001 rounded to 4 decimal places?\nAnswer: -0.1242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -1 + 4)*246. Let v be (4\/(-6)*5)\/(164\/q). Solve 2 = o - 2*o - 3*m, v*m = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21923 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 26, 0, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 8. Let z be t(-10). Suppose -2*b = z*b. Does 1\/7 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -389*s - 85*s - 486*s - 87*s - 118*s to k + l*s and give l.\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -102552352 (base 6) to base 2\nAnswer: -110111100000011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23445 and 39?\nAnswer: 304785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*m + 14 + 11, -3*v + 5*m = -20. Sort -4, 2, 3, v in descending order.\nAnswer: v, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16400 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**4 + 3*b**3 - 922*b**2?\nAnswer: -264*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhthmt. Give prob of picking 1 x and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 2410072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5400 = 513*f - 463*f. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - d**2 - 4*d**2 - 743*d + 27 + 3*d**2 + 2*d**2.\nAnswer: -2*d**2 - 743*d + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*x + 8 = 0, 12*h - 11*h + 17 = -4*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3072\/10)\/(-96)*50\/(-5)*-1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-m - m + m)*(-4 - 1 + 3) + 101*m + 106*m + 276*m - m - 2*m + 5*m + (0 + 0 + 2*m)*(2 - 1 + 0))*(-4 - 1 + 3) to the form p + n*m and give n.\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3 - o**2 + 3. Let c(b) = -2*b + 15*b - 50*b. What is w(c(m))?\nAnswer: -1369*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/(4*(-5)\/120)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -7. Let h = -12 + x. Is h at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1629 - 768. Determine z, given that -801*z - 6*z**2 + 12 + x*z - 27*z**2 = 0.\nAnswer: -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19*u**3 + u - 1. Let h be l(1). Suppose 4 = -5*v + h. Calculate the greatest common factor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7097 + -4351. List the prime factors of l.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Suppose c*x - 2*x - 6 = 0. Suppose -1 - 8 = -x*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189876 by 6.\nAnswer: -31646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/9, -0.2, -84, -1, -2.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35334, 35338, 35344, 35352, 35362?\nAnswer: 35374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (4 - 4) + -72. Let x = d + 74. Put x, 2\/3, -2 in decreasing order.\nAnswer: x, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*d + 4 = -7, -o - d = 3. Suppose o*f = 2*c + 12, 5*c - 3 = 2*f - 15. Suppose h + 1 = f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(288)*1 - -1*sqrt(288)*-1)*5)**2*-3.\nAnswer: -194400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 5375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, f: 1, u: 5}. Give prob of picking 1 u and 1 f.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-48))\/((630\/(-120))\/21).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = 25. Suppose m - d*m + 1388 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151527889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 2386, 3997?\nAnswer: 5608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.234444 and -0.2.\nAnswer: 0.2468888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1133\/9 + 126. Sort 2, -4, 2\/5, j in decreasing order.\nAnswer: 2, 2\/5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2971 + 2976. Solve -5*m = -11*k - 13, 3*m - 20 - x = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and ((-1870)\/51)\/((-8)\/(-6) + -2).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 5, 180, -0.2?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482455\/25 - (610\/50 - 13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -17*x**3 + 13*x**2 - 3*x - 14. Let i(j) = -9*j**3 + 6*j**2 - j - 8. Let l(s) = 4*f(s) - 7*i(s). Factor l(z).\nAnswer: -5*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49731329.75 rounded to the nearest one hundred thousand?\nAnswer: -49700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -64*y + 39. Let a be q(-9). Suppose -37*c + a = -458. Solve 3*b - c + 17 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124 - -616\/5. Let i be -3*((-42)\/112 + 1\/4). Let l = 316 - 312. What is the nearest to p in l, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:50 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 1 - 2*h - 1 - 43*h**3 + h**2 + 42*h**3 to the form c*h**2 + r + j*h**4 + v*h + a*h**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.93?\nAnswer: 1.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 36\/33083?\nAnswer: 36\/33083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**4 - 59*r**3 + 229*r**2 wrt r?\nAnswer: 48*r - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/8 + 1)*-3*4. Suppose 5*x + 3*s = 206 + 162, -y*x + 216 = 3*s. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbt when four letters picked without replacement from bbbbbbbbtbbbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 58 - 487. What is the common denominator of -117\/14 and o\/(-24) + 2\/(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 782*25.4.\nAnswer: 19862.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r + 3. Suppose -56*n + 3*w - 8 = -52*n, -4*w + 20 = 4*n. Sort 5, 3, n, r in increasing order.\nAnswer: r, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 210. Let k(p) = 958*p**2. Give s(k(z)).\nAnswer: -958*z**2 + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11254 (base 7) in base 6?\nAnswer: -21201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 3. Let f be s(-4). What is the remainder when 16 is divided by f\/((-6)\/48*(-3 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -250*l + 3009. Give w(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**8\/2520 - c**7\/315 - c**6\/108 - c**5\/90 - c**3\/3 + 3*c. Let l(d) be the second derivative of p(d). Factor l(g).\nAnswer: -2*g*(g + 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + s - 2. Let v be m(-2). Suppose 4*y - 3*x - 16 = -5, -4*x = 4*y - v. Let c be y\/8 + 377999985\/60. What is c rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -453538, -453617, -453696?\n\"Answer: -79*l - 453459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -155*m + 20961. Give i(128).\nAnswer: 1121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/(-10) + (-10)\/25. Suppose r*w - 2*w = 18. Let v(k) = k**3 - 27*k**2 - 27*k - 4. Let u be v(28). What is the greatest common factor of w and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/18*-3*-1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 315*u**2 - 87*u + 9077792 wrt u?\nAnswer: 630*u - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*m + 5303 = 1987*m + 20543 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -2\/11 (c) -3 (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -65 + h + 63 + 0*h**2 - 4*h**2. Let p(n) = -21*n**2 + 6*n - 11. Give -11*b(c) + 2*p(c).\nAnswer: 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(11\/2)*d*(d\/(d**(-2\/13)*d))\/d assuming d is positive.\nAnswer: d**(-113\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 3*k**7\/14 - k**4\/3 + 6*k. Find the third derivative of q(j) wrt j.\nAnswer: 540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/7 + 80*z\/7 - 33.\nAnswer: -(z - 77)*(z - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -262775, -525552, -788329?\n\"Answer: -262777*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrnrnrrnrnrn. What is prob of sequence rnrr?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m - m - 2*m + m + 5. Let r be n(-5). Let p = -19 + r. Solve a - 3*b = -2, -4*a - 3*b = 2*b - p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.95 - 2.\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20621 + 20628. What is the nearest to 3 in b, 0.1, 15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 261, 238, 193, 120, 13, -134, -327?\n\"Answer: -d**3 - 5*d**2 - d + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7460518\/905 - -24731\/3. Let w = -64258\/8145 + y. What is the common denominator of (-70)\/(-11) + (-6 - -4) and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4910, 4914, 4920, 4928, 4938, 4950?\nAnswer: 4964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13778 + 13780. Solve -5*c + j = 7, -c + a*c - 9 = -5*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10734\/12781 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k + 8. Solve -3*t - k*z + 9 = -2*t, -3*t = 3*z - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, 32\/7, -3, 22?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24112459*a**3*c**3*h - 185008*a**3*c**2 + 3*a*c**3 wrt h?\nAnswer: -24112459*a**3*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a - 12. Let x be 30*a*15\/10. Suppose -5*k + x + 0 = 0. Sort 3, k, -5 in decreasing order.\nAnswer: k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*j**2 + (0*j + 4*j - j)*(3*j + 2*j - 3*j) to b*j**2 + g*j + n and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904052458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 944327, -2, 5, -4 in descending order.\nAnswer: 944327, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 13. Suppose 2*h - 12 = -h. Suppose 0 = -3*v - 5*o - 28, v = -h*v + 3*o - 58. Let c be m(v). Solve 6 = -2*n + 4, -5*q - c*n - 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012592955.\nAnswer: 5, 19, 59, 131, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**2. Suppose 2*n = 1 - 3. Determine s(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6230560, 6230565, 6230574, 6230587, 6230604?\n\"Answer: 2*t**2 - t + 6230559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 380 divide 491340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 49, 74, 69, 10, -127?\n\"Answer: -4*j**3 + 21*j**2 - 4*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24153 and 1164.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.47 >= -39293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/5)\/h*h*(h*h**(1\/9)*h)\/h)**(-2\/33) assuming h is positive.\nAnswer: h**(-208\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3368 + -3376. Sort h, 5, 0, 1.\nAnswer: h, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbsb when four letters picked without replacement from ccgobgglbsgog.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1956 + -976. Suppose -3*b + i = 113. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o. Let l be (o\/4 - 1) + 3. Suppose f = -s + 14, 4*s - l*f - 5 = 3*s. What is the remainder when 21 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veneneneenvev. Give prob of picking 2 n and 1 e.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 937973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2461213 and 4319.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Let p be ((-10)\/3)\/((-2)\/12). Suppose 0 = -m*j - j + p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0.5, 0.3, 0.2 in decreasing order.\nAnswer: 20, 0.5, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5 = -4*n. Suppose 4*v = 0, n*k - v = 25 + 125. Suppose 4*u = -u + k. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 313?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5965109?\nAnswer: 929, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 2*a**2 - 51567022*a**3 + 51567020*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(14\/(-4) - -3). Let g(j) = -j**3 - 39*j**2 - 74*j - 5. Let m be g(-37). What is the biggest value in -2\/15, m, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20328 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243 (base 5) in base 12?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5188505 is divided by 437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052751 less than 2052750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4 + 585\/52. Let o = 4 + -1. Factor 3*j**2 - 38*j**4 + 36*j**o - x*j**2 + 10*j**4.\nAnswer: -4*j**2*(j - 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 27. Calculate the remainder when 32 is divided by q(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 - s - 3. Suppose 4*y - 22*y = 0. Give l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 2. Suppose 0*w + 5*u - 33 = -2*w, 4*u = 4. Let x = w - 9. Suppose 0 = 3*b + 5*q + 4, -5*b = x*q - 2 + 12. What is v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-6 + 4)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1732*h**3 - 1730*h**3 - 7 - 49 + 13*h.\nAnswer: 2*h**3 + 13*h - 56","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-16))\/(70\/(-560)). Let m(d) = -26*d**3 - d**2 + 6*d + 6. Let p(a) = 26*a**3 + a**2 - 5*a - 5. Calculate v*p(g) + 5*m(g).\nAnswer: 26*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 14*q**2 - 132*q + 59. What is u(21)?\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.352584 times -0.28\nAnswer: -0.09872352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*q + 28, 3*y + 2*y - q - 41 = 0. What is the smallest common multiple of (-7 - -6)*14*1\/(-2) and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2411570827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53372 - 106962 + 7*b + 53590 + 3*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 5*c - 12, 0 = 4*b + 5*c - 12. What is the lowest common multiple of b and 1650?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 17. Suppose 0 = -3*y - z + 5, 0 = -5*y - 5*z + 9*z + 14. Suppose -2*l - 10 = -b, 0 = -y*b - 8*l + 3*l - 16. Solve -k - v = b*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.363 + 11.363. Which is the nearest to -2\/3? (a) -2\/9 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (161\/(-28))\/23 - 15\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/20 + 169*m**4\/12 + m**3\/6 + 1190*m**2 - 656*m - 3. Differentiate p(s) wrt s.\nAnswer: -3*s**2 + 338*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.88, -2, -20\/3, 0.3, -1.4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.034, -2, -0.2, -0.5, -151\/2?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221 - -111130?\nAnswer: 113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432)*1 + 2 + sqrt(432) + -5)**2 + (-4 + 3*(sqrt(432) + 1))**2.\nAnswer: -264*sqrt(3) + 5633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2885*k + 510689 = 161604 for k.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3292.972023 - -3293. Let z = -0.0282 + q. What is z rounded to five dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 1562225*s + 3124430.\nAnswer: 5*(s + 2)*(s + 312443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 7:02 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0.4, 0.1, 2.\nAnswer: -33, 0.1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 13845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 - 2*c**2 + 2*c + 1. Let o = -6 + 4. Suppose -2*p - 23 = -3*i, 2*i = i + 5*p - 1. What is the remainder when i is divided by r(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 32*u**2 - 3*u - 41. Let m be l(-16). Let g(i) = 3*i - 4. Let k be ((-8)\/(-2))\/1 + -1. Let h be g(k). Which is greater: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l**2 + 4*l - 629. What is i(0)?\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/145 + 47\/145. What is the nearest to 29 in r, 13, -2\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6975955.27935 minus 4?\nAnswer: 6975951.27935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-10)*(-12)\/7.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b = -27*b + 5895. Find the common denominator of 8\/1 - b\/(-684) and 51\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8920 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 242026 + 72.\nAnswer: 242098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkpphvvhhqkhpok. What is prob of sequence ph?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from lhhccmtl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -2949.\nAnswer: -2949, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(684))**2 - (sqrt(19) + sqrt(19) + sqrt(1900)*-3)) + 1*1*sqrt(304) + (-3*(sqrt(304)*-1 - sqrt(304)))**2.\nAnswer: 32*sqrt(19) + 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 381724 divided by -95431?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-66)\/14) + 258\/(-21). Which is smaller: z or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/319823 and -85\/548268.\nAnswer: 3837876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i - 60 = 0. Let y = 238 - 130. Is 10 a factor of (y\/10)\/(12\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, 0.2, -17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.05 (b) -4 (c) -2158\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a57 - -2?\nAnswer: a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1320 + -1319.9. Which is the nearest to -3? (a) -0.3 (b) x (c) 13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -2583 - -4626. What is the remainder when a is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/12*((-484)\/84)\/11*-6.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 14, 17, 22?\n\"Answer: y**2 - 2*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -182 + q**2 + 358 - 180 + (-4*q**2 - 2*q**2 + 5*q**2)*(-3 - 1 + 3).\nAnswer: 2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3 - 22766072*d**2 - 171*d + 359862.\nAnswer: -12*d - 45532144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 + (-13)\/(-4)*98. Let v = b - 316. Solve q**2 + 1\/2*q**4 + 0*q + v*q**3 + 0 = 0 for q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -4951043?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1188, 5, 494, -6 in descending order.\nAnswer: 1188, 494, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2773858.2 rounded to the nearest one thousand?\nAnswer: -2774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1312232212 (base 4) to base 3\nAnswer: 220201002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 38. Suppose 2*d - 8 = -m. Let k be 27\/132*d - 1. What is the third smallest value in 12, k, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n + 100. Let j be (-68)\/n + 6\/10. Suppose j*a - a = 12. Solve -a*x - 14 = -2*q, 1 = -q + 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 9*m**2 + 13*m - 11. Let n = -11344 + 11352. Give o(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 1244326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030648923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1575000*v**2 + 3*v + 6. Let l be d(-2). Round l to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1024 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1776100 or 1776143?\nAnswer: 1776143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 20181056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26582993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 99. Let l(p) = -p. Let o(i) = 5*l(i) + n(i). Let d be o(-25). Is 9\/7 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 733*s - 358*s - 372*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -107227, -214456, -321685, -428914, -536143?\n\"Answer: -107229*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-5)*2\/(-3). Let q = 12.7 - -2.3. Let x = 16 - q. What is the closest to x in 0.2, b, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-12)*(-198900)\/97240.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -3*o**2 + o + 4. Calculate s(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 706626\/12*8\/4. Is (o\/148)\/(1\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 38723186.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 878773 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 419290208.\nAnswer: 5\/419290208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74100548, -148201090, -222301630, -296402168, -370502704, -444603238?\n\"Answer: i**2 - 74100545*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 16*y**2 + 3*y - 18. Let o be g(-17). Let r be (1 + o\/(-2))\/((-11)\/(-22)). Calculate the greatest common factor of r and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187*p - 230*p**2 + 187*p - 6.\nAnswer: -230*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*h - 192, -3*d + 5*h = 121 + 443. Is d not equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4696 + 54636*s + 4696.\nAnswer: 54636*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 4*m - 4*f, 3*m + 0 = -2*f + 140. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 83 + 25 = 0. Suppose -r + 4*q + 40 = r, -r + 15 = -q. Let b = i - r. What is the greatest common divisor of 104 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138.50962186 + 138.51. What is h rounded to 5 dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = h + 10. Let f = -36 - h. Let o be 7 + -10 - (-7)\/(1 + f). Solve -3*r + 7*r = -o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259907571.\nAnswer: 3, 7, 11, 113, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, q: 1, e: 2, c: 7, u: 1}. Give prob of picking 1 u and 3 c.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 57 - 57.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*b = -4 - 16, b = -2*q + 4. Let i be q - (-29)\/7 - (-113)\/(-791). What is x in 4\/3*x**2 - i + 2\/3*x**3 - 10\/3*x = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(0 + sqrt(11) + 1 + 0)**2 - ((sqrt(33) + 1*sqrt(33))*3 + sqrt(33))\/(sqrt(3) - (sqrt(432) + sqrt(432)*-1)).\nAnswer: -9*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 2\/7, 1.8, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*s*v - 8796*k**2*s - 2*k**2*v + 17*k**2 - 17942*k*s*v + 35698*k*v + 6*k + 2*v wrt s.\nAnswer: k**2*v - 8796*k**2 - 17942*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*t = -5*t. Suppose 56*i - 58*i + 112 = t. What is the greatest common divisor of i and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20859 and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*-1*(-6)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 670 = -y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 2*o - o)*(-4*o + 5*o + 0*o)*(o**2 + 2 - 1 - o**3 + 1).\nAnswer: 4*o**5 - 4*o**4 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-6) + -1)*7\/7.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/(sqrt(2)*-2) - -4*(sqrt(27)*-1 - sqrt(27)))*1)\/(-4*(sqrt(405) - sqrt(45))\/sqrt(5)*-5).\nAnswer: -17*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose 4*l = a*l + 30. Let u = 10 + l. What is the remainder when u is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 5715.\nAnswer: -7\/5715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-2 + 0)\/(-2). Let n = b + -3. Let h(y) = -2*y + 2. Let r = -16 - -9. Let a(l) = l**2 + 7*l - 6. Determine n*a(i) + r*h(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*v + 9, -3*v = -3*b + 2*v - 7. Let m be 1*(-4)\/1*-1. Sort m, 0, b in decreasing order.\nAnswer: m, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272218407 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137859694?\nAnswer: 2, 7, 1163, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243 - -245. Solve -5 = u - 5*d, 4*u + 2*d = 6*u + a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -29.1. Let z = 2 - n. Let m be (12\/(-32))\/(3\/2). What is the closest to z in -0.5, -2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 3 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y**3 - 1)*(-y - y + y) + 2080*y**4 + 1582*y**4 - 4071*y**4.\nAnswer: -410*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 101*f**6\/120 - f**5\/20 + 523*f**3\/6 + 62*f**2 + 7*f. What is the derivative of t(d) wrt d?\nAnswer: 303*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-5 - (-4 + 5)) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 6*x - 43. Let k = -14 + x. Let p(s) = 2*s**3 - s**2 + 4*s - 1. Calculate the remainder when p(k) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -151 (b) 2\/11 (c) -2.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70229?\nAnswer: 70229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 770, 772, 774, 776, 778, 780?\n\"Answer: 2*u + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6944 and -582075372.\nAnswer: -582068428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 3*o + 3498. What is the common denominator of 731\/60 - (-4)\/10 and 14\/(-105) + o\/(-240)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-57 + 8*v**2 + 53 - 2*v**3 + 0*v**3 + 2*v)*(-2*v + 3*v + 9*v) to the form x*v + h*v**4 + p + m*v**3 + q*v**2 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 393d + -1?\nAnswer: 393c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -966*d + 28. Let f(q) = -323*q + 10. Determine -11*f(n) + 4*h(n).\nAnswer: -311*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 6702 = 251*n + 1202 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54817, -109627, -164437?\nAnswer: -219247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u = -61*u - 3*u + 976 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*a - 5*p + 12, 5*a - 4 = 3*p. Let k be (226 + a)*(-2 + 1). Does 23 divide k\/(-5) + 24\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 9. Let a be b(6). Suppose 5*n = 3*r - 15, a*n - 44 = -5*r + 5*n. What are the prime factors of ((-64)\/(-20))\/(4\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/3 - -13\/21. Let u = k - -3\/14. What is the nearest to u in 2\/17, 0.5, -4\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.8 + -10. Let w = -793.0423587 - -762.242376. Let r = g + w. What is r rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -19 - -17 - 3005\/(-90). Let n = 1207\/72 - w. Is -14 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71019600 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/32 and -1\/149544.\nAnswer: 598176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 3*h - 4 - 3*h. Let c be o(6). Suppose s + 7 - 2 = 0, 0 = -u - c*s + 13. Solve -4*d = -5*f - u, 6*d = 2*f + d + 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2470 divided by -6765\nAnswer: 494\/1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 - f**2 - 33200*f + 309 - 616.\nAnswer: -f**2 - 33200*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*((-1344)\/34)\/6?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40, -0.4, -0.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -8*j + 1. What is o(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h = -3*n + 298, -2*n + 3*h = -200. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 3. Let d(g) = g - 4. Let f(p) = -5*a(p) + 4*d(p). Determine f(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 4?\nAnswer: -65\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose 0 = -9*l + 5*l - 2*a + 592, 592 = 4*l + 3*a. Suppose -47 - l = -5*r - 5*f, 31 = r - f. Solve 3*h - 4*x + 5 = x, z = -3*h - 5*x + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8690268 and 13880?\nAnswer: 86902680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6 = -24. Let k(j) = -j**2 + 6*j + 4. Let u be k(i). Solve -4*w - 4*n = u, -4*n + n + 1 = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + 10 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-29 + 109 - 62)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7 - (-506)\/1155.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35603176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:43 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 4*b - 1. Let n(x) be the first derivative of 4*x**3\/3 + 3*x**2\/2 + 3. Let s(j) = -4*n(j) + 3*w(j). Differentiate s(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:13 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 1069 + 1069. Let n(d) = 4*d + 19*d**2 + d**2 - 4*d. What is n(i(k))?\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -59*k**2. Let q(l) = -l + 16. Let p(x) = 2. Let c(o) = -1. Let n(f) = -10*c(f) - 6*p(f). Let t(u) = 24*n(u) + 3*q(u). Give z(t(w)).\nAnswer: -531*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -701 - 697. List the prime factors of o.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 8 + 2 + (2 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) + (-26)\/(-4). Suppose -9 = -3*k + 45. Suppose 3*r + k = d*r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 - 714.9652990188?\nAnswer: -722.8652990188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*b + 4, 4*b - 5 = -2*y + 9. Let h(x) = -3*x + 4*x - b*x. Let r(v) = v. Let q(n) = -2*n. Let g(a) = -q(a) - 3*r(a). Calculate g(h(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**6\/15 - 218*i**5\/5 - 11881*i**4 - 5180116*i**3\/3 - 141158161*i**2 + 284*i - 2. Determine z, given that o(z) = 0.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76823058 rounded to 3 decimal places?\nAnswer: 1.768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/119)\/((-1)\/2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -3*c + 51. Suppose 0*t - c = t. What is the units digit of t\/(-2) + 2 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 136 + 220. Let y(c) = c**3 + 13*c**2 - 18*c - 53. Calculate the remainder when 16 is divided by y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -889, -1840, -2795, -3754, -4717?\nAnswer: -5684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4) + 791\/(-28). Let d = q - -33. Solve 5*z + 9 = d*b, -b + 2*z - 14 = 4*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2747520 and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7414292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37114, -37116, -37118, -37120, -37122?\n\"Answer: -2*l - 37112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiixiiiiiiiiiiiiii. What is prob of picking 3 i?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2284071 is divided by 563.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + 656574?\nAnswer: 65655c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18 + 3*c**2 + 7 + 8 + c**3. Give h(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1050 - -130?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ac932 (base 15) in base 10?\nAnswer: 548822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -530*g. Let p(u) = -u. What is r(p(o))?\nAnswer: 530*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, w: 5, y: 5}. Give prob of picking 2 w and 2 y.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94.3 - 93.3. What is the nearest to m in -2\/5, 0.018, -3\/2?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.328 * 9.\nAnswer: 2.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3 - 15. Suppose -n = -10*u + 11. Solve -u*p - 2*p + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304200.3 weeks to nanoseconds.\nAnswer: 183980341440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1144 + 1106 = -279*x + 54*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 minutes after 5:40 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 1702 - g**2 + 5*g**3 - 1702 + (0*g**2 + g**2 + 0*g**2)*(2*g - 2 + 2).\nAnswer: 7*g**3 - g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 10. Let u(c) = -8*c - 6. Let z be u(-1). Solve -z*w - h = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 25 - -15 - (9 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112172647 a multiple of 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*g - 529 - 689 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666 divided by 6.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + 3*u**2 - 10*u - 30. Let c be l(-8). Calculate the remainder when ((-42)\/49)\/(18\/c) is divided by 52.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012157 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -573\/2*m + 0 - 1\/2*m**2.\nAnswer: -m*(m + 573)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddmdhrdrrdbn. What is prob of sequence hd?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*m + 77, 4*m - 3*m = 2*p - 17. Let b be (-10)\/m + (-106)\/(-3). Find the common denominator of 8\/11 and (-471)\/b - (-1)\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 2. Let k(d) = -d**3 - 10*d**2 - 20*d - 5. Let q be k(-4). Let g(h) = 19*h + 384. Let b be g(q). Let s(t) = 2*t + 5. What is b*y(p) + 6*s(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 3*v**2 - v - 1. Let x = -16 + 19. Calculate z(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 43 - 14 - 7*a**3 - 7.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.7069 and -42869767.\nAnswer: -42869759.2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*m**3 - 8*m + 8*m)*(-1 + 1 - 1)*(-1 - 2*m + 1).\nAnswer: 34*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + b + 2. Let y be i(0). Suppose 0 = 5*p - 3*p - 140. Suppose -y*g = 3*g - p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -22 - 14. Let t(x) = -x**2 - 13*x - 24. Let b be t(u). Let p be 1\/(-3) - b\/(-9)*-2. Solve p = 4*r - 3*a, -4*r = 2*a - 0*a - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100959, 100617, 100275?\nAnswer: 99933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, 1, -4, 0 in ascending order.\nAnswer: -4, 0, 1, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 5*b + 6. Suppose 4*x = 3*k + 11, x + k - 20 = -4*k. Determine n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 582\/(-679)*(-1323)\/42\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1011\/21596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + 3. Let g(b) = b - 1. Calculate 4*g(h) + r(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6308\/(-384) - (-3 - -4). Let x = 7\/96 - l. Calculate the common denominator of x and 23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.89 * -9\nAnswer: 17.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5 + 22*f**4 + 166*f**3 + 448*f**2 + 49*f - 686 = 0. What is f?\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (11 - 14)) + (-7 - 5 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2539, -21558, -73183, -173716, -339459, -586714, -931783?\n\"Answer: -2717*j**3 - j**2 + 3*j + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/903 and 15\/328.\nAnswer: 296184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*w + 3 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 72*m + 10. Let q be u(-36). Is ((-614)\/3)\/((-1)\/(75\/q)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11680 = 324*u + 41*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p. Suppose 0*i + 2*u + 4 = -2*i, p = -2*i + u - 13. Let n = -4 - i. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.982 - 0.018. Let o = -23 - y. What is the fourth smallest value in 5, -3\/4, o, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.74 + -9.26. Let v = 8.32 + 2.78. Let m = n + v. Which is smaller: m or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/4 - o**3\/2 - o**2\/2 - o. Does 6 divide n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2781 + -2778. Solve -4*x = -h - 8, 0 = 2*h - l*x - 1 + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-14)*76\/95 + 1*2. Find i, given that 24\/7*i**2 - b*i**3 + 5\/7*i**4 + 3\/7 - 2*i = 0.\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 631, 1241, 1851, 2461, 3071?\n\"Answer: 610*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1)\/1 - 0\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*b + 4572 = 256*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by 772855\nAnswer: 103\/772855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3201693 and 16\/15.\nAnswer: 16008465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5 + s**4 - 3*s**3 - s**2 + 2*s = 0. Calculate s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*l - 2*b, -2*l - 1114 = -4*b - 1102 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 15. What is the smallest value in 0, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssrssssssssrs. Give prob of sequence srs.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2198.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2\/3)\/(10\/1980) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:07 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23 - 3 - 188\/(-47)) + -24. What is g in c - 88\/9*g + 2\/9*g**2 = 0?\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5811734 and -73\/10?\nAnswer: 29058670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((((21\/7)\/1)\/(-1))\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 421433 (base 5) in base 9?\nAnswer: 21167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 13. Let h be u(10). Let n be 0\/(6\/3) - h. Suppose 0 = 2*c - 2*o - n*o - 30, -c - o + 15 = 0. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 71*f**2 + 147*f + 116. What is the units digit of z(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1\/8, 0.89.\nAnswer: -2, 0, 1\/8, 0.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4)\/(-6)*(-4 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/165 + (1 - 130\/(-11)). Let f = -8 - 22. Let h be (-14)\/(-5) - 6\/f. Solve -3*k - u = m, 4*u = h*k - u - 11 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 + 2348*n\/3 + 1378276\/3.\nAnswer: (n + 1174)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 4*b + 5, 3*b - 3*p - 3 = -0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = o - 440, 11*o - 6*o - 2207 = 3*z. Let h = o - 438. Solve -3*q + 6 = t, -6 = -2*q - h*t + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 25*z**2 - 66*z - 448. What is the tens digit of x(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 30*i + 5. Let o(n) = 7*n + 3. Let h(t) = -5*o(t) + 3*y(t). Let g(q) = 3*q**2. Give h(g(p)).\nAnswer: 165*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -39*z - 1385. Let v(r) = 31*r + 1386. Calculate 5*v(b) + 4*y(b).\nAnswer: -b + 1390","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:28 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1477 - (12 - 23))*2\/6. What is the highest common factor of 32 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 5*u - 3*t - 302, 5*t - 126 = -3*u. What is the second derivative of -u*g**3 + 47*g**3 - g - 3*g**4 wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/15*162\/2700?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*u + 16, -3*f - f + 5 = -5*u. What is the fourth biggest value in 0.5, u, -1\/4, 10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -46. Suppose 0 = -o*h - 27 + 47. What is the third smallest value in 0.5, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 3*u + 8, 0 = c + 4*u - 0 + 1. Solve -2*z + 4*x = -33 + c, -4*x = 3*z + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 15) to base 5.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -989269 - 0.018\nAnswer: -989269.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = k - 37036, 4*k - 5*v = 146325 + 1808. Suppose 0 = 9*p - 33*p + k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5132 is divided by 733.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618231 divided by -7.\nAnswer: -618231\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/19315 or 0?\nAnswer: 12\/19315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 - 515*i - 8305. Calculate w(-17).\nAnswer: 1606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40999358 or 40999366?\nAnswer: 40999358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 120. What is the greatest common factor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -169*z + 209*z - 3360. What is the greatest common divisor of 144 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.076. What is q rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4251 in 1, -0.2, -2\/5, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 25*h - 25. Let l be w(-19). Let u = l + -90. Is -0.11 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241 is divided by 152.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/24 + (-60)\/90. Sort g, -1\/2, -6, -0.1 in ascending order.\nAnswer: -6, -1\/2, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 29. Let b be k(-7). Suppose 4*a = -26 + b. Suppose -168 = a*h - 9*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1061.876 and 2?\nAnswer: -2123.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -226 (b) 0 (c) -0.1 (d) -0.14 (e) -11 (f) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -69\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*w**2 - 4 + w**3 + w**3 - 50*w**2 - 3*w**3 as k + i*w**3 + p*w + j*w**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -50*r**2 + 1586*r - 409. Let o(q) = 12*q**2 + 3*q. Let x(a) = -n(a) - 4*o(a). What is the first derivative of x(w) wrt w?\nAnswer: 4*w - 1598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*8*1\/(-20)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, b: 1, m: 2, j: 1, t: 1}. Give prob of picking 1 j, 1 b, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2136)\/(-54) - (-16)\/36. What is the greatest common divisor of 40 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -6\/7, 5\/6, 0.5, -2\/5, 0.3, -1.12?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48bba (base 16) to base 13.\nAnswer: -a57a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4 + 0*n + 5 - 2*n + 2*n**2. Let u be q(1). What is the greatest common divisor of u and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + w - 11. Let p(j) = -4*j**2 - j + 8. Calculate 4*p(d) + 3*y(d).\nAnswer: -7*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/7 + 26*l**2\/7 - 46*l + 42 = 0. What is l?\nAnswer: -21, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -165, -342, -593, -924, -1341, -1850?\nAnswer: -2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 4*h + 8. Let q be d(-6). Let x be q\/51 - (-1 + 3). Let t = -3833\/204 + x. Find the common denominator of 67\/16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) 5 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = 6*z - 65. Let y be 5\/(-3) + (5 - z\/(-9)). Let v be (-3 - -1)*(-2 + y - 117). Calculate the highest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340610 rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25201 to 3 decimal places.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g**3 + 13*g**2 + 13*g - 17. Let k be a(-5). Let m = k - -11431\/10. Find the common denominator of m and -15\/13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h - h + 9*h)*(-19*h**3 - 267*h**2 + 126*h**2 + 121*h**2) as p + u*h**2 + j*h + q*h**4 + t*h**3 and give q.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 - 16978*b\/5 - 234508\/3.\nAnswer: 2*(b - 25490)*(b + 23)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2674 - 236?\nAnswer: 2436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 2*o**2 + 86*o + 53. What is the least common multiple of k(-8) and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*g - 8. Let v = -5 - -89. What is the greatest common divisor of g and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((1 - 2) + (2 - 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 143*o**2 - 12. Let a(w) = -572*w**2 - w + 52. What is -2*a(r) - 9*p(r)?\nAnswer: -143*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1855*q**3 + 31*q + 31. Is k(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c25cb (base 14) in base 11?\nAnswer: -627468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y**4\/5 - 2062*y**3\/5 - 6664*y**2\/5 - 5768*y\/5 - 1152\/5 = 0 for y.\nAnswer: -144, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnzzn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86596 is divided by 639?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 5, -5, 2, 4.2, -0.2, 1.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2034507.513 to the nearest 1000.\nAnswer: 2035000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -2. Suppose 19*l = 21*l + 4, -4*l - 6 = 2*h. Calculate the greatest common divisor of w and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2126?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -12. Suppose -z*y + 14 + 16 = 0. Does 5 divide ((-4)\/y)\/((-2)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2659203 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*r - 30 = -7*r, 3*o - 4*r + 14 = 0. Suppose o*h = u - h - 8, 10 = -5*h. What is the derivative of 4*x - x - 2*x + u wrt x?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 3. Let q(h) = h - 2. Let y = 81 - 77. What is y*q(i) - 3*t(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 3. Let q(d) = -3*d**2 + 5*d - 6. Let c(g) = -7*j(g) + 3*q(g). What is the second derivative of c(m) wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 + 10426032*d**3 - 9058543216794*d**2 + 54350977798224*d - 81526325946147.\nAnswer: -3*(d - 1737669)**2*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-2)))**(2\/95) assuming n is positive.\nAnswer: n**(4\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 54\/5 of a microsecond?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 38*y**2 + 18*y + 13. Let q be j(15). Let z be (-4)\/(-14) - q\/(-14). Let b = z - 134. Which is greater: -3\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25920, 25933, 25946?\nAnswer: 25959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-2*v - 3*v + 0*v) + (0 - 3 + 2)*(v - 5*v - 4*v) to the form s*v + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 3:01 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 2 + 3*b - 3*b - 3*b. Let m(q) = 8*q + 66. Calculate the lowest common multiple of t(-2) and m(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 7*b**2 + 7*b + 3. Let l be a(-6). Let y(p) = -p - 1. Let f(u) = 16*u - 12. Let v(c) = -f(c) + 4*y(c). What is the units digit of v(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -5*t**7 - 27*t**4\/4 + 2209*t**3\/3 + 14398. What is the third derivative of v(p) wrt p?\nAnswer: -4200*p**3 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*w + 11, 111*m = 113*m + 3*w - 5. Which is the fourth biggest value? (a) 4.5 (b) -1\/2 (c) 0.5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 89*y**2 + 202*y - 2498. Calculate r(87).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 115*(-7)\/(-175) - 3\/5. Solve -4*c + 41 = -5*t, c - 3 = 3*t + x*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 3*z - 3840 - 8*z - z**2 + 0*z**2 + 3842 to the form o*z**2 + r*z**3 + v*z + h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkky. Give prob of picking 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*u - 83 + 76 = 0, 2*p = -5*u - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w\/(w\/((w\/((w*w*w**(-23))\/w))\/w)))*w)\/w**(-28))\/(w**30\/w)**(-20\/9) assuming w is positive.\nAnswer: w**(670\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -3)*(-7)\/5. Suppose -q + h = 5. Factor 2*l**q + 10\/3*l - 4\/3.\nAnswer: 2*(l + 2)*(3*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43563960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-57)*(4557\/(-49))\/279?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 410 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, -68\/5, 2, 1.09, 4\/7 in descending order.\nAnswer: 2, 1.09, 1, 4\/7, 0.2, -68\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 9*f - 10*f. Sort -3, 2, f.\nAnswer: f, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16942537.6 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h**2 + h - 10. Let k be c(0). Let w be (-6)\/k + 5*(-12)\/(-25). Suppose -2*j + 11603 = w*p, 5*p - j - 19330 = 4*j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 5*k**2 + 2*k - 11. Let q be v(5). Put 65, q, 1, 3 in descending order.\nAnswer: 65, 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntnnnntxnnnen. What is prob of picking 2 t and 2 n?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(504)*3)\/sqrt(9))\/((sqrt(2560)\/sqrt(5) - sqrt(8) - sqrt(8))*-5).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*d = 222691 + 248218 + 1447693. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**4\/8 + 19*i**2. Let q be 6\/4*16\/12. Let u(o) = -o**q - o + o. Determine h(u(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -0.052?\nAnswer: -0.00312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 1961 + 151. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 + -10?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5870258ml in litres?\nAnswer: 0.0005870258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*r - 35 = 0, 14*s + 5*r - 11*r + 5 = 12*s - 13 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*p = 2, 5152*p - 10 = g + 5149*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a micrometer in nanometers?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q**2 + 86*q + 7. Determine v(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j*t**3 - 2*j*t**2 + j*t - j + 309*t**3 + 130*t**2 wrt t?\nAnswer: 18*j + 1854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/9)*j**(-12\/5) assuming j is positive.\nAnswer: j**(-103\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211120 - 110?\nAnswer: 211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 2177*m - 2735*m + 3 as v + t*m and give t.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 12*l**2 - 12*l + 149. Let u be w(12). Factor 0 - 5\/3*o**2 + 0*o + u*o**3 + 5\/3*o**5 - 5*o**4.\nAnswer: 5*o**2*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 n when three letters picked without replacement from ffnnp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -m. What is the second derivative of 2*l**3 + 5*l - 4*l - 2*l**3 + 4*l**m wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298488 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 15, 1 in decreasing order.\nAnswer: 15, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 9*k + 14. Calculate the lowest common multiple of f(-8) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljmmdljmmll. What is prob of picking 1 l and 1 m?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*t + 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8867985 is divided by 278?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 10. Calculate i(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -92, -85, -74, -59, -40, -17, 10?\n\"Answer: 2*h**2 + h - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (((-1*sqrt(126) - sqrt(126)) + sqrt(126))*-3 - sqrt(126)))\/sqrt(7))\/(sqrt(441)*3*-6).\nAnswer: sqrt(2)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2189 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*v + 12196 = -29420 for v.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and -65\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/10)\/((-1131)\/4524). Which is the closest to -25? (a) -0.02 (b) v (c) -1\/2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1216) + 2 + -1 - -1*-1*sqrt(1216)) + -3))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 7. Let t(p) be the second derivative of -p**5\/20 - 11*p**4\/12 - p**3\/6 - 9*p**2\/2 - p. What is the remainder when 2 is divided by t(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 4*o - 40. Let a(z) = 2*z**2 - 5*z + 41. Calculate 2*a(c) + 3*b(c).\nAnswer: -2*c**2 + 2*c - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 379 or 25342\/67?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3240) - sqrt(3240)*1)*1)\/((-2*sqrt(16))\/sqrt(2) - (sqrt(8) + -2*sqrt(288) - sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, m: 3, t: 4, u: 1}. What is prob of picking 1 t and 1 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3150 and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118 or 0?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*h - 3055 = 0, 20*y + 4*h = 23*y - 4548. What is the remainder when y is divided by 489?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14308722 to the nearest integer?\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104148, -417085, -938646, -1668831, -2607640?\n\"Answer: -104312*m**2 - m + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.0875, -0.1, 0.4 in decreasing order.\nAnswer: 0.4, -0.0875, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/14*(0 - 16\/(-44)). Put x, 2, -1.7 in ascending order.\nAnswer: -1.7, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 894498*s**2 - 66721925067*s - 6663250526700.\nAnswer: -3*(s + 100)*(s + 149033)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y + 3 - 6*y + y**2 - 4 - 2. Let k be q(-5). Suppose -2*j - 232000 = k*c, -4*c - 3*j - 464000 = -2*j. Round c to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 + 12*t - 8. What is the remainder when w(8) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.2 in 0.4, -0.05, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 166 in 2\/3, -5, -7.729?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197848.5ms to minutes.\nAnswer: 3.297475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -214, -317, -294, -49, 514, 1491?\nAnswer: 2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*c + 990 = 0, -5*z - 2*c = -1075 - 560. Does 70 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.8 and 0.4.\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.13 and 0.1.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (837 - 845) + (-12 - -1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d**2 + 16*d**2 + 22*d**2)*(-d + 2 - 2)*(-3 + 2 - 1).\nAnswer: 50*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-6)\/(-10) - 243\/180). Solve w + 8 = z*d, 10*d = 5*d + w + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410151 (base 7) in base 16?\nAnswer: -11052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3455.\nAnswer: 4\/3455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11792315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 9. Let h be p(-12). Let v be h + (-38)\/3 + (-2)\/6. Is 2236\/10 - (-6)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - 80?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4280524187 and -0.02.\nAnswer: -4280524187.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1142699, 2285408, 3428117?\nAnswer: 4570826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-3 + 4*p + 3) + 0*p + 3*p - 4*p + ((-3 + 0 + 5)*(-4 + 5 + 0) - 2 + 0 + 4)*(2*p + 2 - 2).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2207333084?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t**3 + 3*t**2 - 8*t - 18. Suppose 4*j - 61 = -69. Is i(j) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s**2 - 16*s. Suppose -5*w = -v - 3, w - 10 + 1 = -4*v. Let f(l) = -l + 2*l**2 - v*l + l**2. Determine 2*d(p) - 11*f(p).\nAnswer: -3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-2))\/(3\/1 + -1). Suppose -11*t + 14*t - 33 = f. Let i = t - -57. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 1\/5, 2\/31 in descending order.\nAnswer: 4, 0.5, 1\/5, 2\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l - 67*l**3 - 6*l + 0*l + 4*l**4 - 3*l + 6*l**2 + 66*l**3 - 2 to k*l**3 + v*l**4 + m*l**2 + y + n*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeesss. What is prob of picking 3 s and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 36049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 1 = -8*p. Suppose 5 = p*f - 3. Suppose 4*k - 14 = -f*g, -k + g + 2*g = 0. Solve 4*n - 5 = -k*u + 11, -2*u = -3*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, q: 1, x: 1, k: 5}. Give prob of picking 1 x and 1 f.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3 - 22*k**2 - k + 22 = 0?\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573912445?\nAnswer: 5, 23, 4990543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10\/33 (b) 175 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23172 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2549 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90138 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 0*t - 3*t - t**2 - 4*t + 2. Let x be b(-7). Suppose -h = x, 3*h + 14 = 3*l - 55. What is the greatest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*0 - 1. Let g(r) = 3*r - 5. Let t be g(5). Put 4, v, t in descending order.\nAnswer: t, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -14. Let z = -11 + c. Find the common denominator of (6\/z)\/((-9)\/12) and -99\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6075459547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -9. Let o = 11 + p. Solve o - 1 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13490000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + ((-32)\/20)\/(-2*10\/75). Factor 0 + 6\/5*b + 2\/5*b**3 - 8\/5*b**g.\nAnswer: 2*b*(b - 3)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55402.52 rounded to the nearest 100?\nAnswer: -55400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 26270, 26278, 26286?\n\"Answer: 8*c + 26262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 + -585\nAnswer: -585.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10532645 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 558 minutes before 1:14 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5 + 0 = 3*o, 4*w - 20 = 2*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + 1*2*sqrt(540))\/sqrt(12))\/(5*-3*((sqrt(9) - sqrt(81)) + sqrt(9))).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oror when four letters picked without replacement from {r: 4, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*-3 - (-8 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-58)\/87*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 1228*i + 43392 = 0.\nAnswer: -32, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 + 286*a - 72. Let y be i(-36). Let o(s) = -s**3 + 3*s**2 + s - 25. Give o(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5620, 11218, 16854, 22534, 28264, 34050, 39898?\n\"Answer: p**3 + 13*p**2 + 5552*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 25*a - 27. Let v be d(-24). Let r be v*(-1 - 62*(-1)\/(-6)). Let q(n) = 2 - 2 + 14*n - r*n. Let s(y) = -3*y. What is q(s(p))?\nAnswer: 60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33\/4 in 73.6, 1\/2, -29?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**2 + 28*w**2 - 69*w**2 + 22*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1841 and -66029.\nAnswer: 121559389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 382\/1 - 265\/(-53). Let r = x - 384. Solve r*y - 3*c = 0, 21 = 5*y + 5*c - 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28080 and 35802.\nAnswer: 1432080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-9))\/(6\/(-54)). Let d be k*25\/6*2. Calculate the smallest common multiple of 6 and (-16)\/(-24) + d\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 5) to base 6.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 - z + 7. Let y(a) = -7*a**2 + 9. Determine -4*f(j) + 3*y(j).\nAnswer: 3*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q + 2. Let y be i(0). Suppose 0 = -2*s - 4*r + 40, 3*s + 5*r = y*s + 20. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrm when three letters picked without replacement from {j: 1, r: 7, m: 5}.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210) - (sqrt(210)*1 - sqrt(210)))*3)\/(1*sqrt(7)*-2))\/(-4*(sqrt(160) - sqrt(160)*2) - 5*(sqrt(160) - (sqrt(160)*1 + sqrt(160) + sqrt(160)))).\nAnswer: -3*sqrt(3)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267415672 to the nearest integer?\nAnswer: 16353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9284, -9285, -9280, -9263, -9228, -9169?\nAnswer: -9080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3723*w + 1630666. What is n(-438)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3)*(-14 - -2). What is the second derivative of 79*i**x + 73*i**4 - 4*i**2 - 125*i - 147*i**4 wrt i?\nAnswer: 60*i**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -916*h + 24742. Calculate x(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4\/4 - 193*o**3\/4 + 1225*o**2\/2 + 2602*o - 17184 = 0.\nAnswer: -6, 4, 16, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 2*k**2 - 2*k + 2. What is the remainder when f(-4) is divided by 4 + (-845)\/(-117) + (-4)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*w**3)*(2 + 0 - 1) + 4*w**3 - 2*w**3 + 2*w**3.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121169137?\nAnswer: 19, 6377323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 1650, -2, -5 in increasing order.\nAnswer: -14, -5, -2, 4, 1650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143)*3*-1)\/(4*sqrt(396)*2).\nAnswer: 3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18317602 (base 9) in base 12?\nAnswer: -3109a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 327*f + 887. Let a(i) = 165*i + 444. Let c(k) = 5*a(k) - 3*y(k). Factor c(j).\nAnswer: -3*(j + 3)*(j + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 56.19567 minutes?\nAnswer: 0.9365945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -3*p**4\/4 - p**3\/3 + p**2 + 3*p - 5. Calculate i(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -451 + 469. Let j be (-30)\/(-9)*(h\/12 + 0). Suppose -d = 3*a - 10 - 53, -4*a + 2*d + 74 = 0. Solve -j*t - a = -0*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b + 18*b = 33*b + 185 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-8 + 8 - 5*y)*(1 - 4 + 0).\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.66 - -441108.\nAnswer: 441103.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 18.642 (b) 33 (c) 1081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10599431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5696 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 20*s**2 - 18*s**2 + 8 - 6 + s**2 - 2*s to the form o*s + l*s**2 + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 301. What is the remainder when y is divided by 101?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1008 - 1003. Which is the second biggest value? (a) -126 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-2\/15))**(-12)\/((d\/(d*d\/((d**(1\/2)\/d*d*d)\/d)))**12)**(-1) assuming d is positive.\nAnswer: d**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 47*o + 246 = 0. Calculate o.\nAnswer: -41, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*a, 3*f + 5*a - 1359 = -1106. Solve -90 = -62*x + f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7004 times -7805\nAnswer: 54666220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 + -272. Solve -2*k - 3 = v + t, -k + 3*v + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = f. Let i(c) = -7. Let o(p) = 1 + p + p + 6*p - 7*p. Let g(r) = f*o(r) + i(r). What is the first derivative of g(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326 + -291. Suppose 4*p + 6*n - h = n, 4*n - 17 = -p. Solve 6 = 4*o - 3*i, p*o + 3*i - 4 = 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -653 - -654. Which is the second biggest value? (a) -4 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100221 - 0?\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + (1 + 1 - 4). Let l = 40 + -25. Calculate the greatest common divisor of h and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s. Let i(v) = -2*v + 52209. What is i(h(q))?\nAnswer: 4*q + 52209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490\/(-21))\/(-7)*3\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -89 + 4*p - 3*p - 2726 + 5302 + 3*p**2 + 6628. Is k(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 36\/(-1*(-4)\/100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 378*c**2 - 2. Let r(q) = -12*q. Calculate r(l(x)).\nAnswer: -4536*x**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**4\/4 + 3*j**3 + 14*j. Factor q(l).\nAnswer: 3*l*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -232489?\nAnswer: 232487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 118*g**2 - 13*g + 13. Let b(q) = -59*q**2 + 6*q - 6. Suppose 7 = -10*h - 123. Let l(c) = h*b(c) - 6*u(c). Let y(t) = -2*t. Give y(l(r)).\nAnswer: -118*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6147, 6215, 6273, 6315, 6335, 6327, 6285?\nAnswer: 6203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63907845 minus -30.04?\nAnswer: 63907875.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 0.2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.3231754994?\nAnswer: -0.4231754994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 90*b + 18 = 88*b, -o + 3*b + 1 = 0. Find the second derivative of o + 9 + 10 - 214*n**5 - 76*n - 32 wrt n.\nAnswer: -4280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-13)\/(z**(-2\/17)\/z)*z**6*z\/(z*z*(z\/z**(2\/21))\/z) assuming z is positive.\nAnswer: z**(-2423\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 493 divided by 1\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (23 - (-5 + 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101263 and 917?\nAnswer: 708841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 2:15 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63056.15 millilitres in litres?\nAnswer: 63.05615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 80. Suppose -2*b - 210 = -5*o, 0*o + s = o - 4*b. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*v**2 + 11*v + 23\/2.\nAnswer: -(v - 23)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - q**5 - 4*q**5 + (4*q**5 + 17*q - 17*q)*(1 - 6 + 26) + 3*q**5 + q - q.\nAnswer: 86*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/8 in -312, 1\/4, -6.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 58*r**2 - 111*r - 2. Let a(w) = 58*w - 56. Let f(c) = -7*a(c) + 4*m(c). Differentiate f(t) with respect to t.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 minus 355?\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 + 12*o - 4*o - 7*o + 2*o**3 to p*o**3 + z*o**2 + c + l*o and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8564 + -8564.3. Let d = 3 + 0. Which is the closest to -0.1? (a) u (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2004, 4010, 6016?\n\"Answer: 2006*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*n - 1 + 14*n + 2*n)*(-6 + 7 + 7)*(0*n + 3*n + n).\nAnswer: -1248*n**2 - 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -41*a + 89. Solve -a*u - 5*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 27 - 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(16)\/sqrt(2) - sqrt(8)))\/(-1*sqrt(4)*1) + (-1*sqrt(768))\/(sqrt(486)\/sqrt(9) + sqrt(6)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8210.2 + 8210. Which is the closest to -2? (a) l (b) -17\/2 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 2. Let v be u(-7). Suppose v*a - 50 = 7*a. Suppose 3*x + 3*q = 2 + 10, -4*q - 8 = -4*x. Calculate the smallest common multiple of a and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5))\/(z**(-12)*z*z)*z**(-4\/9)\/(z*((z*(z**(-3\/2)\/z)\/z*z)\/z)\/z*z) assuming z is positive.\nAnswer: z**(127\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 844426 by 5.\nAnswer: 844426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8406986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-8036))\/((-68)\/272)?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375\/(-72) + (-9 - -11)*-1 + (-15)\/(-8)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -134 - d52?\nAnswer: -e86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 15, 0 = -7*g + 2*g - 4*p + 1185. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 2*h**3 + 3. Let y(o) = -6*o**2 - 5. Let b(k) = 5*k**2 + 4. Let g(c) = -5*b(c) - 4*y(c). Give s(g(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -207*d**6 + d**3 - 5*d**2 - 18*d + 1. Let l(g) = -2*g**6 - g**3 + g**2 - 1. Let i(j) = l(j) + s(j). What is the third derivative of i(y) wrt y?\nAnswer: -25080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-46)\/(b**(-6)\/b*(((b\/(b**(12\/11)\/b))\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-1418\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 29491317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 1. What are the prime factors of s(10)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l)*(-3 + 0 + 1) - 2*l - 3*l + 4*l - 358 - 194*l - 177*l + 358.\nAnswer: -368*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1747 + 98.2987. Let y = -122.85 + v. Let h = y - -0.126. What is h rounded to 0 decimal places?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, l: 5, t: 7, m: 3}. What is prob of sequence mtmk?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*8\/504)\/((-120)\/(-70))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9505 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 3*y + 5 + (0*y - 3*y + 7*y)*(-1 + 2 + 1) + 0*y + 2*y - y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 14 - 7) + -6 + -14 + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**9\/189 - t**5\/24 - t**3\/2 - 15*t. Let r(z) be the second derivative of f(z). Find the second derivative of r(s) wrt s.\nAnswer: 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.6 - -3. Let t = 20 + -342\/17. Which is the nearest to -0.1? (a) -1 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 10*t + 12. Let n be m(-9). Differentiate -140 + 128 - 9*h**n - 7*h**3 with respect to h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-8 + 4)) + 4 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1233 - -1858. Let d = 597 - q. What is the nearest to d in -5, 0.1, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -6353063?\nAnswer: 6353064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7193 + -4104. Suppose 10879 = 19*r + w. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 3*n**3 - 2*n**3 + (-2 - 18 + 2)*(-4*n**3 + 4*n**3 - n**3).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**2 + 3*j**3 + 9 - 2*j**3 - 2*j + 2*j**2. Is h(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -21*g**3 + g**2 + 2*g + 1. Let x be c(-1). Suppose 950 = -16*a + x*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -116144611?\nAnswer: 116144613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 141*o**5\/10 - 37*o**3\/3 - o**2\/2 - o + 64. Find the second derivative of a(n) wrt n.\nAnswer: 1692*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmxx when four letters picked without replacement from {x: 3, m: 12}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(468)*-1 + 0)**2.\nAnswer: -36*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.2946 micrometers in meters?\nAnswer: 0.0000062946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 7*h - 1. Let i be 1 + 12\/4 + 0 - 0. Give x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -8. Let c(b) = b**3 - 3*b**2 - 3*b - 2. Let r be c(4). Let o = r + 1. Calculate the highest common factor of o and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.07 (b) 5\/4 (c) -1\/5 (d) -2 (e) -122.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1.8, 1, 0.04, -4\/3, 1.929?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 4*g - 7. Let s be (4\/6)\/(9\/(-81)). Let w be j(s). Let m = 0.8 - 0.5. What is the third biggest value in m, w, 4\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341.2792nm in centimeters?\nAnswer: 0.00003412792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*j - 120, 5*j - 5*u - 145 = -0*u. Solve 0*z + 5*z + j = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millennium in decades?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 8*m**3)*((-3 + 2 + 0)*(1 + 3 - 2) + 2 + 3 - 4 - 16 - 6 - 1 + (-7 + 2 + 3)*(-3 - 1 + 2) - 2 + 6 - 2).\nAnswer: 144*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/8 - 9*i\/4.\nAnswer: -i*(i + 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22923 - -37039. List the prime factors of m.\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2768*u**3*w + 3*u*w + 34*w wrt u.\nAnswer: -16608*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-55)*(-2)\/12. Let h = 1.87 - 0.87. Which is smaller: h or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1834, 5, -3, -2 in increasing order.\nAnswer: -3, -2, 4, 5, 1834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 8*x - 2. Let v be w(-6). What is the remainder when ((-14)\/5)\/((-1)\/v) is divided by 8\/20 - (-31)\/((-2170)\/(-672))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/217, -1\/7, 0.06, -0.4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 570a - -1?\nAnswer: 570b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 21*g + 74 + 78 - 309 + 76.\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = 5*w - 332. What is the remainder when w is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + (-2 - 3 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 223 = -71. Is ((-1)\/(5\/n))\/((-26)\/65) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 13*h - 13. Let s be p(-1). Let x = 3 - 0. Solve x*k = s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(756)*1)\/sqrt(3))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1087 + 8156?\nAnswer: 9243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 11. Let z be c(0). What is the highest common divisor of 33 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24753318.1 - -169427.\nAnswer: -24583891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = 3*m + 3*d, 2*m - 510 = -9*d + 11*d. Let p = m - -3675. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -113*j**3 + 8*j**2 + 6*j - 2. Let q(h) = 228*h**3 - 15*h**2 - 11*h + 4. What is -6*q(m) - 11*x(m)?\nAnswer: -125*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 7. Let p be r(-10). Suppose -2 = -24*u + p*u. Suppose 2*a = -3*n - 18006, -2*n - u*n - a - 24003 = 0. Round n to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.4. Suppose -t + 3*w + 6 = 2*t, 0 = 4*w - 8. Suppose -t*u = 5*b + 5, -3*b - b + 7 = u. What is the second smallest value in -3, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6222, -12393, -18514, -24585, -30606?\n\"Answer: 25*h**2 - 6246*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 10*o - 17. Calculate i(-5).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 a, and 1 e when four letters picked without replacement from {e: 8, a: 2, t: 5}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.2. Let s = -0.4 - l. Let c = 5 - 8. Is s at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8397649.\nAnswer: 13, 645973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - -45 - (8 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -30*k. Let h(y) = 22*y**2 - 12*y + 46. Let c(w) = -22*w**2 + 10*w - 38. Let s(q) = -6*c(q) - 5*h(q). What is s(n(b))?\nAnswer: 19800*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - 590?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3055 + 3055. Is u bigger than -2\/11021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2542 and 2540 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + -17252)*(8 + (-119)\/14).\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (sqrt(637) + 2 - sqrt(637)))**2 - (((sqrt(325) - (sqrt(325) + -1) - sqrt(325))**2 - sqrt(52)\/sqrt(4)*-1) + 0).\nAnswer: -374 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155 = 60*b + 145 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 2, -3\/2, -0.226, -0.01?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 2. Let o be k(10). Let d = o - 5. Suppose -d*y + 5 - 2 = 0. What is the remainder when 1 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + (-4)\/3)\/((-6)\/(-18)). What is the remainder when 2 is divided by (-3)\/c - (-2)\/(3 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v - 5. Calculate n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22173637*d - 32995072 wrt d.\nAnswer: 22173637","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278081 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 266 or 27946\/105?\nAnswer: 27946\/105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 6. Let u be o(3). Solve -f + u*f - 2*d + 7 = 0, 5*f - 5*d = -10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211.9 + -212. What is the nearest to -1 in a, 2\/5, 69?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14 + (-936)\/168?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.034 in 0.4, -2\/9, 51, 5, -1\/5, 113?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 0)\/(6\/(-30)). Let i(y) = -4*y**2 - y - 15. Let w(g) = -9*g**2 - 2*g - 30. Let r(j) = 5*i(j) - 3*w(j). Is r(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 21*t + 122. Let k be b(10). Suppose -2230 = -k*r + 7*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*b = 15, 5*q = -3*b + 7 + 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*v + 5*v - 213, -4*w = 4. Suppose -m + v = 2*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:08 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-96)*22 - -9*1\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or -220\/9?\nAnswer: -220\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from sbbbssbsbs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130085 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1214 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-3)\/(-24)*(77\/33 - 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -21.46133260809.\nAnswer: -21.96133260809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9302551 is divided by 351?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j + 20*j = 228. Let q(s) = -5*s**2 + 5*s + 9. Let x(h) = h**2 - 1. Let i(g) = q(g) + 6*x(g). Is i(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a + 477*a + 580*a - 8*a - 84*a)*(4 - 4 + 6).\nAnswer: 5838*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 293 - 290. Which is the second biggest value? (a) 5\/2 (b) z (c) 5 (d) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3020838276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 14*y**2 - 139*y - 4. Let k be c(10). Solve 4*z = 6 + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7899*r - 152. Is p(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 17 + 22. Suppose g + 55 = 2. Let j = g - -90. Calculate the remainder when j is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178982179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 + 753045*r**2 - 4518405*r + 6777675 = 0.\nAnswer: -150615, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 11*h + 19. Let b be n(-8). Is -3 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5 - 54*p**4 - 300*p**3 - 450*p**2 + 303*p + 504 = 0?\nAnswer: -8, -7, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 10*k + 14. Calculate the remainder when 4 is divided by m(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 51. Let f = z + 7. Is f > -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(38)*5)\/(sqrt(16)\/(sqrt(8)*3) - sqrt(2) - sqrt(2)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2951, -5931, -8911, -11891?\nAnswer: -14871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12231230.\nAnswer: 2, 5, 11, 251, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 9*k**2 + 7*k + 33. Let y be i(10). Solve -y*c = 6 - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {e: 1, n: 1, q: 2, y: 1, z: 2, l: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6684 - 6670. Calculate the remainder when 75 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59440 > -59439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g - 4 + g + 4*g. Let c be q(4). Suppose 0*s + 4*s - 88 = c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 5*l + 66. Let n be j(-6). Solve -4*c - 12 = 3*r - n*r, -3*r - 3*c - 9 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 124 = -5*x, x = -2*x - 3*j + 66. Suppose -2*t + 2*r = t - x, 36 = 4*t - 4*r. Factor -9*h**2 - t*h**2 - 2*h**2 - 3*h**3 + 11*h**2.\nAnswer: -3*h**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 - 4. Let s(o) = 16*o. Calculate d(s(r)).\nAnswer: 256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*f + 2*h + 3*h, 3*f + 2*h - 38 = 0. Solve f*j - 25*j = -45 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 - 4*u**3 + 2*u**3 + (u**2 + 5*u - 5*u)*(2*u + 3 - 3) + 0*u**3 + 15*u**3 + 7*u**3.\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64892 is divided by 624.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -557, -4495, -15187, -36011, -70345, -121567?\n\"Answer: -563*r**3 + r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*o**3 - 12\/5*o**2 - 64\/5 - 48\/5*o.\nAnswer: -(o + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/120 - p**5\/60 + p**4\/24 - p**3\/6 + 373*p**2. Let c(f) = -6*f**3 - 3*f**2 + 3*f - 3. What is 3*b(t) - c(t)?\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 8. Let y be m(6). Suppose 5*l + y*a + 2*a + 8 = 0, 3*l = -a - 2. Let x(w) = -3 - 3*w**2 + l + 1 + 1. What is x(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78690 divided by 430?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q**2. Let x(n) = 495*n**2. Determine x(t(m)).\nAnswer: 40095*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1601 - -1887. Are -1 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26414069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.02 + 0.72. Put 3, p, 0, 1\/3 in descending order.\nAnswer: 3, 1\/3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {m: 2, k: 1, d: 4, f: 1, h: 1, q: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/159 and -50\/93.\nAnswer: 4929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, -1, -2, 6, -5 in decreasing order.\nAnswer: 6, 2, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b - 23. Suppose -4*y - i - 1 - 6 = 0, 2 = -2*y - 2*i. Let g(j) = -4*j + 11. What is y*r(c) - 5*g(c)?\nAnswer: 2*c - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 4, a: 6, m: 3, u: 1, l: 1}. Give prob of sequence aaaa.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5016 - -0.1.\nAnswer: -5015.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3296*f**2 - 9*f. Let q(x) = -9889*x**2 + 24*x. Determine 3*q(g) + 8*s(g).\nAnswer: -3299*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h*h**(-5)))*h**(7\/4))\/((h**(-7)*h)\/(h*(h**10\/h)\/h*h*h)) assuming h is positive.\nAnswer: h**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 292.278 + -292. Let a = d - 0.678. Suppose t + 2*t + 12 = 2*w, 3*t + 12 = -3*w. What is the nearest to 1 in w, -1, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -982, -5 in increasing order.\nAnswer: -982, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -8899 + 0*d + 2*d**2 - 2*d + 8917 in the form h*d**2 + t*d + m and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0 + (0 + 2 + 0)*(4 - 3 + 0))*(4 - 2 + 0)*(2*g + 2*g + 0*g).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103375\/922636 - -1\/6452. Find the common denominator of -40\/143 and b.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1366, -1365, -1364, -1363, -1362?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 15*y. Does 21 divide z(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.9 + 0.9. Suppose 1215 = -0*p + 45*p. Let w be (p\/(-72))\/((-1)\/6) - 3. Which is the biggest value? (a) w (b) -3 (c) 0.2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 51*n + 2. Let m(x) = -x. Let a be (-11)\/(-9) - (-2)\/(-9). Let k(p) = a*w(p) + 3*m(p). What are the prime factors of k(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*h + 94*h = -171*h - 121 + 715 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198696.\nAnswer: 2, 3, 17, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5292 or -5305?\nAnswer: -5292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31236\/12859 + -1\/1837. Let r = 44\/21 - g. What is the nearest to -2\/3 in 0, -3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 23*h**2 - 76*h + 52. Let d = -294 - -268. Let n be r(d). Let f = -30 - -63\/2. What is the closest to n in 4, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttvvbcviitt. What is prob of sequence cvvi?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3776 - 3692. Solve 6*t = -96 + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 4*i + 420 = 0, -420 = -3*t + 2*i. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/533045 and -38\/7?\nAnswer: 3731315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15314938 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200212122222 - -11?\nAnswer: -1200212122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 64. Solve -n = x*g, 2*g - 2*n - 11 = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 6*g - 8*g - g**2 + 40*g + 25 - 8*g to a*g**2 + w*g + b and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 37 - 107 + 33 - 1138*c**3.\nAnswer: -1138*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/97)\/h)\/h)\/h*h\/((h**(-26)*h)\/h))\/((h*h**(2\/25))\/(h\/h**(-45))) assuming h is positive.\nAnswer: h**(167181\/2425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 - 6 = -2*o, 5*b = 0. Suppose q + 19 = -5*a, 0 = 4*q + 4*a + 1 - o. Calculate the least common multiple of 31 and q.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-124)\/(-10))\/(149\/((-26820)\/(-72)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k\/(k**(1\/2)*k))\/k))**35\/(k**1\/k**(1\/4))*(k*k*k\/(k**(-6)\/k)*k*k**2*k)\/((k\/(k\/(k\/k**(2\/3))))\/k*k*k**(-6)) assuming k is positive.\nAnswer: k**(857\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w - 25. Let a be z(-2). Let r be a + 6 + (1 - (-48)\/(-10)). Let b = -0.9 - -4.9. Sort b, r, 2\/43 in decreasing order.\nAnswer: b, 2\/43, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {c: 1, d: 2, a: 2, p: 8, n: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*o + 10, -2*q - 5*o - 10 = -4*q. Solve -q*n - 5 = 3*z, 3*n = -n - 4*z - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/8 - 69*c**4\/8 - 147*c**3\/8 - 75*c**2\/8 = 0.\nAnswer: -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4470*v + 6293808. Give y(1408).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002692 to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 5*a - 14931 - 8*a**2 + 14888 in the form d*a + q + x*a**2 and give q.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12179 + 0.22179. Put -5, u, 0, -896 in decreasing order.\nAnswer: u, 0, -5, -896","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-70) + 17\/(-35). What is the third biggest value in -2, -2\/17, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296*(-6)\/30*-10?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 22*k**3 - 28*k**2 - 113*k - 18. Let t be r(-4). Is -1422 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2286893?\nAnswer: 7, 383, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*g = 66, 4*k + g - 401 = -98. Suppose k = -o + 4*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/7 and -32\/153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 975498 and 44118?\nAnswer: 8779482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-3) + (1 - 1). Let v(a) be the second derivative of -a**4\/6 + a**2 + 129*a. Determine v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -7 + 4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4350, 17296, 38880, 69108, 107986, 155520, 211716?\n\"Answer: s**3 + 4313*s**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 498970000 to the nearest 1000000.\nAnswer: 499000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3536*g + 3542. Calculate w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1234.8 + -1233.109725. Let s = 1.69 - r. What is s rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18 + -16)\/(14\/16) - 2. Sort 0.5, -1.29, -4\/3, t in increasing order.\nAnswer: -4\/3, -1.29, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 2*v**2 - 2*v - 4. Let o be j(3). Put -4, o, -9 in increasing order.\nAnswer: -9, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 254\/91 + -40\/13. Which is smaller: 1\/10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5018400.8 rounded to the nearest 1000?\nAnswer: 5018000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 b, and 1 j when three letters picked without replacement from {p: 5, j: 1, m: 1, e: 2, c: 3, b: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + ((-237)\/231 - -1). Let r = 949780879\/1155 + -822321. Let x = r - z. Which is greater: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*y + 2 + y**2 + 0*y**2 + y to q*y**2 + n + f*y and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 8*f**2 - 4. Let h be d(7). Let k = 168 + h. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (2 - -16)*(2 - 2 - -1) and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4520*s - 3941*s + 3726*s**4 + 10009*s wrt s.\nAnswer: 44712*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3630)\/(-5) - 4) + 4. Suppose -1210 = -5*a - 4*x, x - 2*x = -3*a + o. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2. Let o(r) = -4*r**2 + 103612. Give o(q(p)).\nAnswer: -16*p**4 + 103612","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.19 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**5\/20 + 11*f**4\/12 + 5*f**3\/6 + 25*f**2\/2 + 18*f. Is b(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(-18)\/(-4). Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/7 + (-2)\/(-7). Suppose d*l - 61 = 87. Suppose 69 + l = 2*z. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -43 + r**3 + 4*r**2 + 20 - 4*r + 18. Let g = 41 + -11. What is the remainder when g is divided by h(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1310391574187\/39186390 - 40\/1306213. Let x = k + 33444. Calculate the common denominator of x and -2 - (2 - (-2)\/(-20)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7750 + 29*y - y**2 - 10*y - 22*y + 3*y to z + m*y + t*y**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 862442, 1724887, 2587330, 3449771, 4312210?\n\"Answer: -x**2 + 862448*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -0.28?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 7 - 11 + 7*z - 6*z**2 - 89*z in the form u + m*z**2 + k*z and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 120 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 60*k**2 - 262*k - 300.\nAnswer: -2*(k + 2)*(k + 3)*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 20 = 28*x. Sort 2, 8, x, 0.5 in decreasing order.\nAnswer: 8, 2, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -48. Suppose 0 = 3*r + n - 22, 0*r - 2*r + 5*n = 8. Suppose -2*c = -r, -c - 24 = s - 107. Calculate the highest common factor of m and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11092 + 9284 = 8*g. What is the common denominator of 1\/6 - g\/540 and -43\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 758*h = 760*h - 7, -25 = 9*j - 4*h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*(-3)\/(-3). Does c = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*i - 147 - 268, -4*a = 3*i - 535. What is the first derivative of 17 + 8*u**4 - 130*u**2 + a*u**2 wrt u?\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29752135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-29 - 6 - (-41 - -19))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 48*j**2 - 24*j**2 - 28*j**2. Let s(x) = -7*x. Give s(q(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 9:33 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4201*y + 4207*y - 8399*y - 5. What is d(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17477?\nAnswer: 17477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 25 = 9*h. Solve k = -4*w, h*w = -3*k - 4 + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 71. Suppose -4098 = -n + v, v + o*v + 4118 = n. Let i = n - 106435\/26. What is the common denominator of 79\/6 and i?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485995398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*u + 5*t + 66, 4*u - t = 169. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-10 - -5 - 22)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - 20*t + (-t - 3 + 3)*(0 + 1 + 2))*(-t + t - 2*t).\nAnswer: 46*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, -122 in ascending order.\nAnswer: -122, -0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-26)\/8 - -3)*-1. Suppose -2*v = -2*i - 4, v - 10 = 2*v - 5*i. What is the third smallest value in r, -0.01, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpx when three letters picked without replacement from lxfxffflfxpplfllxpf?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21112220 (base 3) to base 12\nAnswer: -3229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7765 + 12217. List the prime factors of f.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/6 - 17*t**2\/2 + 202*t. Calculate v(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381834071 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165227.\nAnswer: 127, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6 = -3. Let j(n) = n**3 + 10*n**2 + 4*n + 11. Let p be j(r). What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -362 - -364. List the prime factors of (-4)\/(16\/(-674)) + b\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211410 (base 5) in base 16?\nAnswer: -1bc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = 3. Let b be 3 + 3\/(3\/(-1 + c)). Suppose 4*o - 38 = 2*o + g, b = -4*o + 4*g + 72. What is the highest common divisor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + j**2 - j + 7. Let d be r(0). Let s = d + -15. List the prime factors of (-58)\/s + 9\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2308*m + 9*m**3 - 27*m**3 - 2308*m.\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2538772 (base 9) to base 11\nAnswer: 866031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1 - 141407915849.\nAnswer: -141407915853.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158176.\nAnswer: 2, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(5*1\/(-4) + 13\/52)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 20. Is (1011\/9)\/(b\/(-75)*-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*t - 11, j + 0*j + 11 = 5*t. Let z(s) = -13*s**2 - 2. Let f(y) = 1. Let r(l) = -3*f(l) - z(l). What are the prime factors of r(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 10 + 4*q**2 + 18)*(37*q**2 + 25*q**2 - 113*q**2).\nAnswer: -204*q**4 + 102*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01141972 rounded to 5 decimal places?\nAnswer: -0.01142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z\/z**8)\/(z**(-4\/5)\/(z**(2\/43)*z)) assuming z is positive.\nAnswer: z**(-2431\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 56.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + p**2 + 1. Let h(f) = -27*f**3 + 6*f**2 + 26. Suppose -5*b + 12 = -7*b. Let a(v) = b*s(v) + h(v). Find the first derivative of a(g) wrt g.\nAnswer: -99*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 147*m**5 - 798*m**4 - 6372*m**3 - 3432*m**2 - 480*m = 0.\nAnswer: -4, -2\/7, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-30) - 34\/(-5). Let i be (-2)\/x - (-316380)\/36. Let z = -5217 + i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202509*o - 202509*o - 2*o**2 + 0*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**8\/2520 + y**7\/252 + y**6\/90 + 7*y**5\/30 - 20*y**2. Let r(k) be the third derivative of f(k). Factor r(a).\nAnswer: 4*(a + 2)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:03 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -10. What is the third derivative of -g**4 + 2*g**2 - 2*g**4 + 4*g**2 - g**h wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -131, -103, -77, -53, -31, -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6237 + -1363?\nAnswer: 4764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = 9*g - 195. Let f be (-8)\/(-52) + 84\/g. Let d(l) = l**3 + 2*l**2 + 2*l + 2. Determine d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53576258?\nAnswer: 2, 41, 101, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1527, -3070, -4615, -6162?\n\"Answer: -k**2 - 1540*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 360 - 360.05. What is the nearest to 2 in -0.3, 2, 0.1, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119 and -1.1?\nAnswer: 130.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2229 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqkqqkqkqqq. Give prob of picking 1 k and 1 q.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + (-7)\/(-3) + 12\/18. Suppose 0 = -8*j + 3*j + 30. Let q be j\/7 + -2 + 1. What is the closest to 8 in q, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242 in 11\/8, -0.5, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + 16 - 15*-184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 4*i + 3. Let t be l(4). Suppose -x - 10 = -2*x. Let c = 12 - x. Solve 3*h = -5*p - 5, -9 = -h + t*p - c*p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 23. Let d = 65 - k. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 103 = 3*q, -12*t = -123*q + 125*q + 242 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8470)\/280 - -47 - (12 + 4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 16*h - 2. Let u be p(7). Let f be u + -4 - 8\/2. Suppose 0 = 2*i - 4*i + f. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3750*o**3 + 3675*o**2 - 1116*o + 108 = 0. Calculate o.\nAnswer: 6\/25, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1311666015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 11 = -3*h, 3*h = 3*u - 8 - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-204))\/((2\/(-4))\/(2023\/(-238))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbp when three letters picked without replacement from pnpsppbispnp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/13300 and -17\/25700.\nAnswer: 3418100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29799, 28310, 26821?\n\"Answer: -1489*m + 31288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 33*w**2 - 245*w - 334. Give m(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j = 7*j - 25*j + 9 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (324 + 22*n - 324 - 2*n - 4*n + 4*n + (4 + 1 - 4)*(4 - n - 4))*(n**4 + n**2 - n**2).\nAnswer: 19*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/2 - 52444654*a - 1375220866589858 = 0 for a.\nAnswer: -52444654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356 - 356 - 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2327 + -2467 - (-3 - 119)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.747543 centuries to decades.\nAnswer: 17.47543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 127*u - 1 + 784*u - 62*u - 1560*u to b*u + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 3\/4, 0.2, 5, 90\/37, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/141*((-3069)\/(-132))\/31.\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 162, -0.066, 2\/7, 1\/3?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2690814 and -59\/378.\nAnswer: 24217326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 24 = -58*w + 55*w, -10 = w + 5*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351 + -332. Suppose 3*m - 16*r + t*r = 0, 0 = 4*m - 5*r - 36. Solve 2*y = m*g + 6, 1 - 17 = -4*y + 4*g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53621120507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**2\/2 - g - 3. Let y be w(-6). Suppose -y*f - 100 = -5*h, -2*h - 6*f + f + 75 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - 31\/(-3). Let t = -6 + c. Suppose t*u + 42 - 142 = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 8*f + 16. Let m(a) = -a**2 + 5*a + 11. Determine -8*m(z) + 5*u(z).\nAnswer: 3*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 + 2. Let a be k(7). Suppose -a*h + 33 = -41. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.5. Let x(j) = j**3 - 7*j**2 - j + 10. Let p be x(7). Let w be 4 - (6\/(-3))\/2. Which is the closest to p? (a) o (b) w (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:11 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, r: 10, m: 2, w: 3}. What is prob of sequence rir?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -64375*x**2. Let z be k(4). What is z rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275 + -275. Suppose -85*s + 83*s + 8 = q. Solve -2*y + 1 = 5*a, -s = -2*a - 3*y + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 2. Let i(b) = -545*b - 5. Let s be i(w). What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 3)*(-3 + 2 + 3) + 2 + 0 + 6)*(-2*z**4 + 4*z**3 - 4*z**3).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - -1093955?\nAnswer: 1093948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.025524 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 19*c = -17*c - 20, -4 = -y + 4*c. Solve -4*z + 2 + 6 = 4*w, 2*w = -y*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8.7, -61.858, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j - 2*d - 24, 2*j = d + 15. Let w be 7\/(-105) + j\/(-10). Which is the second biggest value? (a) -1\/9 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kykyykykkkyyykkyyk.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1985337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.7 + -13.7. Which is smaller: -21 or h?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 19*o**2 + 4*o - 5. Let s be y(-3). What is the third derivative of 5*i**2 + 80 - s - 130*i**4 + 76 wrt i?\nAnswer: -3120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -3, 2\/9, 3, -17, 17 in decreasing order.\nAnswer: 17, 3, 2\/9, 0.02, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 859 - 856. Suppose -5*d + 3*d - v = -5*h, -4 = -d - 3*h. Solve 11*z - 12*z = d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 0.039, 0, -0.3, 27, 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630059011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.311925 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 25, -1\/13, -0.5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 10:35 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 61 + 2402*v + 2455*v + 2687*v - 8486*v.\nAnswer: -942*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 13 = 6. Suppose 0 = -2*j - 5 - l. Let y(k) = 5*k + 4. Let w(n) = 12*n - 3 - 10*n + 4 + 1. What is j*y(t) + 13*w(t)?\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 16. Suppose 3*v = -2*t - 0*t + u, 0 = -t - v + 10. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m - 125*m = -562492. List the prime factors of m.\nAnswer: 2, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1756.\nAnswer: -702.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v**2. Let g(a) = 74*a**2 - 15*a. Let t(x) = -37*x**2 + 9*x. Let u(f) = -3*g(f) - 5*t(f). What is z(u(y))?\nAnswer: -17797*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + k, 0 = -3*c - 2*k + 4 + 6. Suppose -4 = -4*l + 8*l, -c*l - 6 = -2*a. Is (-3 + a)\/(4\/(-3508)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*h + 42 - 11, 6*h = 3*j + 51 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13 - 4 - (-1 + 2). Calculate the greatest common divisor of t and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -293*m**3*o**2 + m**2*o**2 + 106*m**2*o wrt m.\nAnswer: -1758*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = 3. Let f be 10*(o - -4)*-1. Let a = f - -33. Solve 0 = -4*k + 3*k + a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1 = 21. Is ((-14)\/21)\/(o\/(-138)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -12*n**2 + 3*n. Let o(c) = 2*c**2. Calculate 3*i(z) + 12*o(z).\nAnswer: -12*z**2 + 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436812?\nAnswer: 2, 7, 29, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m - 73. Let p = 291 - 305. Let r be w(p). Solve -4*z = -9 - r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 + 52*x**2 - 112*x = 0?\nAnswer: -28, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1520, 3, -65, 0, -2, 1, 11 in decreasing order.\nAnswer: 1520, 11, 3, 1, 0, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 2*j**3\/3 - 285. Let b(u) = -5*u - 10. Let d(i) = 1. Let p(h) = 5*b(h) + 50*d(h). Give r(p(f)).\nAnswer: 1250*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**3 + 41*z**2 - 27*z + 8. What is c(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58.05 + 60. Let x = -0.05 - p. Let r = -1610.98 - -1611.98. What is the smallest value in -6\/11, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d - 448 = -49*d. Let a(p) = -p + 126. What is the remainder when a(0) is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -670*k**5 + 139*k**3 - 137236*k.\nAnswer: -13400*k**3 + 834*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51\/(-102))\/((-2)\/(-12)). What is the units digit of (-11)\/o + -3 - (-1336)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(100\/(-30) + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -11*q**2\/2 + 5*q + 14. Let v be o(-1). What is the highest common factor of 112 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-54))\/((-1)\/3). Suppose 0 = -2*d + 3*q + 12, 3*q + 4 + 8 = -3*d. Let f be (d - (-5)\/(-2))*190\/475. Are f and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 128220?\nAnswer: 128220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 400559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from sgoussqgoosoosggos?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8616666 and 7180555?\nAnswer: 43083330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*p + 2, -2*o - p - 10 = -6*o. Suppose o*z - 93 = -33. Suppose 21*t = z*t + 132. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 888\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3141.8224 rounded to the nearest 10?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4659 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4\/4 - 81375*y**3 + 4411825749*y**2\/2 + 75092449653*y + 291545821611\/4 = 0 for y.\nAnswer: -33, -1, 54267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**4 + 6*w**3 + 9*w**2 + 6. Let y(n) = -6*n**4 - 7*n**3 - 10*n**2 - 7. Let o(c) = 7*b(c) + 6*y(c). Find the third derivative of o(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3943 is divided by 120.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 51*g**2 + 276*g + 172. Let y be u(56). Are 32 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**17\/i*i)**10)**44 assuming i is positive.\nAnswer: i**7920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + -6)*3\/(-3). Let i = -5 + m. What is the first derivative of f - 3 + 5 - f + i*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.85 - 0.45. Let x be 3\/(-57)*(-4)\/2. Sort x, b, -5.\nAnswer: -5, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - 13\/(-3). Suppose -3*u = -4*n + 95, -2*u - a = 2*n - 35. Let s = n + -9. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 1. Let m(h) = h. Suppose y + l = -2*l + 12, 3*y + l = 20. Calculate y*m(i) + s(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 226\/(-42) + 2618\/561.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s. Suppose -4*o - 14 = y, 0 = 4*o + 15 - 3. Let l be (y + 2)*1\/2. Solve 5*q + n + 2*n = l, s = -4*q + 2*n + 22 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*m = -31, 0 = -4*l + 19*m - 241 + 362 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8157605 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5.577*-13.3\nAnswer: 74.1741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 31\/62*((2 - 1) + -1). Put 3, v, 13 in decreasing order.\nAnswer: 13, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w**2 + 4*w + 4. Let b be m(-3). Let z(k) = k**2 - 11. Let c be z(-4). Solve -c*g + 0 = -b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8322.011km to millimeters.\nAnswer: 8322011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*r + 4, 4*r + 3*h - 3 = 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -15. Let v = -11.02511 - -0.01871. Let w = d + v. What is w rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 3 + sqrt(68) - sqrt(68)) + 1*(sqrt(68) + sqrt(68) + sqrt(68)*-2 - sqrt(68) - sqrt(68) - sqrt(68))*-1)**2 + 3.\nAnswer: -48*sqrt(17) + 631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -672.38 + 417534.\nAnswer: 416861.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224*g**2*p*q**2 + 33850*g**2*p - 162*g**2*q**2 with respect to q.\nAnswer: 448*g**2*p*q - 324*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761 = 6*v + 713 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 65?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 134*t**2 + 19*t - 2613. Give n(134).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llaggggraagag.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 10 - (0 - -3). Let f = -8 - m. Is (-903)\/(-14)*f\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1) + 3\/(-3). Let d(t) = -t**3 - 3*t**2 - 5*t - 4. What are the prime factors of d(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7952802 divided by -3976401.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 20 - (4 - (51 - 41)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 22748340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - m + 2*b + 7*b - 54 = 0, 3*b - 139 = 16*m + 104 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4012*w + 7 - 551*w**2 - 6 - 1 - 4008*w in the form c + i*w**2 + l*w and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2*(-3 - -5). Suppose 20 = -a*j, -5*k + 0 = -2*j - 23. Solve -k*y + 4*y = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81019, 82706, 84379, 86032, 87659?\nAnswer: 89254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*i**3 + 71*i**3 - i - 6 - 3 - 35*i**3 to the form k*i**3 + c + a*i + j*i**2 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - x - 8, -2*b - 5*x + 2 + 4 = 0. Let g(y) = 2 - 3*y + y - 1. Calculate g(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105256 is divided by 26307.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 - -0.84. What is the nearest to g in 4, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*z - 4*z. Let h(f) = -f**3 - 5*f**2 + 0*f**2 - 11 - 2*f**2 + 8*f. Is h(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 124545916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*u + 9, 0 = 4*j + 7*u - 2*u - 15. Suppose -2*o = -j*o - 30. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-75)\/(-3)*-2)\/(-2). Which is bigger: a or 2\/29?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + ((1*sqrt(960))\/sqrt(3))\/(((sqrt(576) - 1*sqrt(576)) + sqrt(576))\/sqrt(9))))**2.\nAnswer: -96*sqrt(5) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (99\/3)\/((-9)\/(-12)*-2). Let q be 12\/(-66) + (-114)\/o. Let i be q\/25*(-2)\/1. Which is greater: -12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let n(g) = g + 2. Let f(h) = -4*h - 17. Let b(y) = 19*y + 86. Let d(j) = 2*b(j) + 11*f(j). Let i(k) = -2*d(k) - 15*n(k). Calculate z(i(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from wwwmwmwmmwmmmwmwmwm?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*b + 366*b + 62*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 + 1.152.\nAnswer: 40.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-22))\/(1\/337). Let p = n + 360. Calculate the highest common factor of 161 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -404227, 2, 9 in decreasing order.\nAnswer: 9, 2, -404227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 + 35909728*o**3 - 35909724*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -23*t - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 74945585?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b88 - -37?\nAnswer: -b51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 1358268.\nAnswer: 27165360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*r - 152, 160 = 4*r + g - 6*g. Calculate the remainder when r is divided by ((-9)\/27)\/(4\/(-108)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1688200 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -497\/90 + 1\/45. What is the common denominator of (11\/(-44))\/(0 - 11\/(-12)) and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = -5*b - 5, 2*b - 21 = -5*d. Solve 3*f = 5*a - 0 - 14, 3*f + 4 = -d*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11 + -7 + 2*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -219?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -333 - -42b6?\nAnswer: 3d83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35\/78 + -3\/26. Let q be (8\/(-6))\/(11\/(-33)). Put 2\/17, q, -2\/5, s in descending order.\nAnswer: q, s, 2\/17, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:34 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -59.1. Put -0.09, m, 0.5 in ascending order.\nAnswer: m, -0.09, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/294462 and 131\/220.\nAnswer: 32390820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 10. Let f be o(8). Suppose -28 - f = -k. What is the greatest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 48*s. Let g(x) = -760*x**2 - 100*x - 200. Let z(h) = 23*h**2 + 3*h + 6. Let f(m) = -3*g(m) - 100*z(m). What is f(k(a))?\nAnswer: -46080*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94635*b**3 + 2901*b**2 + 11*b?\nAnswer: 567810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11578369\/78 + 148447. Let w = n + 6\/13. Is 6 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314151 is divided by 979.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*539\nAnswer: 107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 4*p**2 + 4*p - 22. Let d be k(3). Is d greater than -1\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.14 + -14.14. Let x = 11.2 - 11. Let t = 0.3 + 0.2. What is the second biggest value in m, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1236, -5, 3, -3.\nAnswer: -5, -3, 3, 1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35166 - 35137. Let k(x) = -84*x**3 + 2*x**2 - 1. Calculate the remainder when k(-1) is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 41109.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 104, 431, 976, 1739, 2720?\n\"Answer: 109*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 10, 6, 100, 15 in decreasing order.\nAnswer: 100, 15, 10, 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5559113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1144.88 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-636)\/(-72) - (380\/(-19) + 19)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - 3*q - 2. Suppose -10*j + 2 = -11*j. Let p be k(j). Solve 2*n = -n + 9, 4*n - p = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -784 + 783.9. Suppose 353 + 165 = -14*k. What is the closest to 1 in k, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 37.34.\nAnswer: 933.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v + 20. Let r(w) = 3*w + 4. Let k(t) = -o(t) - 8*r(t). Calculate k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 24 = 8*f. Let t = 13 - f. Let r be (-232)\/216 - t*-1. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103*4.\nAnswer: -412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0*g**3 + 0 + 2*g**2 + 13\/120*g**6 + g**4 + 0*g + 0*g**5. Find the second derivative of k(a) wrt a.\nAnswer: 78*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 4*x - 6. Let m be u(-6). Let y(q) = 2*q**2 - 10*q + 8. Calculate the remainder when y(m) is divided by 20\/(-50) - (1 - (-124)\/(-10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/27 - (-4)\/18. Suppose -k = -2*k - c*r + 25, 4*r - 60 = -3*k. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 112, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.02 + 0.03. Let f = l - 0.23. Round f to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by 28.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/6)\/((-12)\/(-90)). Let g(t) = t**3 - 11*t**2 + 13*t - 7. Does 8 divide g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22890, 45417, 67944?\nAnswer: 90471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = -3*d + 9, -4*n + d = -37 + 22. Solve -y - 6*l = -n*l - 12, -2*y - 5*l = -21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*k - 31 = -64, 0 = -3*h + 3*h - 3*k - 22 + 16 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21116342.3 rounded to the nearest one hundred thousand?\nAnswer: 21100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 s, and 1 z when four letters picked without replacement from szzwwzwzzzwwmwszszz?\nAnswer: 135\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {f: 2, p: 1, l: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + -104 + 36 - -106) + -1 + 1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwz. What is prob of picking 1 z and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5438635*c + 8312699 wrt c?\nAnswer: 5438635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124 is divided by 360?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456\/(-567) + (-15)\/(-9) + 72\/(-126)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = -q. Let r(b) be the first derivative of 5*b**3\/3 + 7*b**2\/2 + 4*b + 14. What are the prime factors of r(q)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4972, 15071, 31904, 55471, 85772, 122807?\n\"Answer: 3367*z**2 - 2*z + 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2417 + 6179. Is t a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*i - 38, 2*i - 3 = i + 4*x. Let n(p) = -19*p + 10*p + i*p. Let a(t) = 6*t**2. Give a(n(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3162802905 and -1.18.\nAnswer: -3162802906.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, g: 6, y: 4}. What is prob of picking 1 d and 1 y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 155631, 311259, 466885, 622509, 778131, 933751?\n\"Answer: -r**2 + 155631*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055516 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30 from 5.84.\nAnswer: -24.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((-385)\/75 - 26)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 4*j**2 - 3*j + 6. Let x be i(-5). Let y(q) = -q**2 - 5*q - 4. Let o be y(x). Let r = 0 - o. Sort -5, 1, r in descending order.\nAnswer: 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 w when three letters picked without replacement from {w: 8, l: 8, e: 4}.\nAnswer: 56\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2192396 and -40589038?\nAnswer: 42781434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 14 = -18. Let h(k) = 7*k**n + k**2 - 7*k**2. Let i(b) = -1. Let z(x) = -12*x - 16. Let q(d) = -16*i(d) + z(d). Calculate h(q(p)).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**3 - 21*j**2 + 21*j**2)*(-4*j + 3*j + 2*j - 2*j - 3*j + 4*j + (-2*j - 2*j + 2*j)*(-1 + 4 - 4) - j - 1 + 1 - 2*j + 0*j + 4*j + 2 - j - 2).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 352, 351, 352, 355?\n\"Answer: x**2 - 4*x + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 11) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 286*q**4 + 78948*q**3 + 5449896*q**2 + 228528*q = 0. What is q?\nAnswer: -138, -6\/143, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/62 - (0 - (-27)\/(-2)). Solve -9*s = -o*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*470\/(-141).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (75 - 57) + -29 + -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -7*o**5\/12 - 7*o**4\/24 + 34*o**2. Find the second derivative of s(i) wrt i.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4)*v*v**(-2\/13)*v**(-3\/14)\/v*v*v\/((v*(v\/v**(-13\/2)*v)\/v)\/v*v)*v assuming v is positive.\nAnswer: v**(-898\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1684 is divided by 52?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22567 or -919?\nAnswer: 22567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80856606.\nAnswer: 2, 3, 131, 102871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 24*g**5 + 29476*g**4 + 34346*g**3 - 12289*g**2 - 23318*g - 6135 = 0.\nAnswer: -1227, -1, -1\/2, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:22 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from fumuumfuuifuf?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v + 0*v - v**2 + (-v + 2*v - 3*v)*(2 - 2 + 2*v) + (0*v - 2*v + v)*(2*v - 3 + 3) - 42*v**2 - 15*v**2 + 86*v**2.\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -148\/2369, 11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:24 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 0)*(-8)\/(-24). Let v(o) = -2*o - o**2 + 2 + 4*o**t + 2 - o**3 + 0*o**2. Let z be -2*(-3)\/6 - -2. Give v(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -86, 1\/6, -0.5, -2\/17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 32*h + 17. Let n(s) = s**2 + 11*s - 6. Let z(w) = -6*f(w) - 17*n(w). Give z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -642.3595 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121200 - 22001?\nAnswer: -220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**5\/5 - 212*p**4 - 12828*p**3\/5 - 38592*p**2\/5 = 0.\nAnswer: -6, 0, 1072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 691*j + 6472*j + 1728*j + 2826*j + 528*j as f*j + g and give f.\nAnswer: 12245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393642 is divided by 464534.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqoqqzoqq. Give prob of picking 1 z and 1 o.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 92336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 0*i + 4*b - 12 = 0, 0 = -12*b - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 6, s: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 105 - 75. Let v be 26 - 1\/(2\/(-6)*1). Is v greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2198\/(-10990) + 6\/(-5)*-11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098298143 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -29*t + 102. List the prime factors of j(-17).\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*x - 4 - 37, -7 = d + 2*x. Suppose 4*g + 3*w = 30, 10 + 1 = g - w. Let z = d + g. Is -4\/9 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084793 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32037982 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12543 and 173975591?\nAnswer: 4181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*g - 1360 = -100*g. Let c = 75 + g. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.99934 - -0.04534. Let z = 0.759 + t. Let d = z + -0.005. Round d to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965438 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*l**2 + 831*l**2 - 121*l**2 - 362*l**2 - 109*l**2 - 120*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6550362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 10*o**2 - 8*o - 7. Let y(p) = -p**2 + p - 1. Let z(s) = c(s) + 2*y(s). Determine z(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5 - 0. Let y be (1 - 1)\/(j\/1). Solve y*g - 4*g - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-502)\/(-100) - 5)\/((-52)\/7345) and -33\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/4 - (-1)\/(-2). Let f(c) = -4*c**3 + 5*c**3 - c**2 - 1 + 3 - 4. Calculate f(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let a be t(5). Find the third derivative of -j**6 - j**6 + 4*j**a + 3*j**2 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdxbbbdbrxbrb. Give prob of sequence rr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -148, 56.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)*m*m)\/(m\/(m*m**(9\/2)*m*m)*m)*(m*m\/m**(-1\/7))\/(m\/m**2))**(1\/37))**1 assuming m is positive.\nAnswer: m**(93\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2688) - 1*sqrt(2688) - 1*sqrt(126)\/sqrt(3)))\/(sqrt(60)\/(3*(sqrt(90) + sqrt(10)))*6).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.4, -1\/4, 3419, 4\/5, 1 in ascending order.\nAnswer: -1\/4, 2\/13, 0.4, 4\/5, 1, 3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 439755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 1087*c\/3 - 2520.\nAnswer: -(c + 7)*(c + 1080)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3364*g + 73. Is k(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*n + 11850 - 2159 = 154*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*k + 37, -b - 22 = 2*k - 74. Suppose 182 + 163 = 5*h. Suppose b = 3*d + f, -5*d - f + h = -35. Solve -15 = -3*x + n + n, 4*x - d = 3*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -12. Let z = -2.2 + -0.3. Let s = z - -3. What is the biggest value in 1\/7, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0175448 + -476.6702652. Let m = c + 476.68781015. Let r = m + 1. Round r to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*155\/31?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 4*s**2 - 7. Let o = 13 - 10. Let m be k(o). Solve c = m*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 23 - (-4 + -1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -20\/9, 2, -76.906 in increasing order.\nAnswer: -76.906, -20\/9, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/12*1)*-2)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 191817850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 673662167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 416777, 416549, 416321, 416093, 415865, 415637?\n\"Answer: -228*p + 417005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*l + 120*l - 1367523. What are the prime factors of l?\nAnswer: 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1513 and 2567?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*n = 5 - 41, 0 = 3*a + n + 15. Which is bigger: -144\/37 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7040 + 7135. What is the greatest common factor of i and 5415?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527464 divided by -14.\nAnswer: 37676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 897390?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -107579\nAnswer: 1075.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 441343 (base 6) to base 3\nAnswer: 1212021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 0*k + 0*k)*(43*k - 6 - 8 - 120*k - 27*k).\nAnswer: 104*k**3 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/12 + 407\/88 - 1. Let h(u) be the third derivative of 0*u + 0*u**3 - 17*u**2 + 0 - 1\/4*u**5 - n*u**4. Find the second derivative of h(l) wrt l.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585669, 585653, 585639, 585627, 585617, 585609, 585603?\nAnswer: 585599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*o - 0*d - 190, 4*o = 4*d + 196. What is the greatest common factor of o and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from mpuymtymooy?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106.23 in 0.4, -60, 3, 7, -3, -2\/13?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9504)\/1536*(-24)\/54\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 14*v**2 + 450*v + 6324. Determine z(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -259, -170, -35, 152, 397, 706, 1085?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 143*z**2 + 53*z + 216. What are the prime factors of f(-43)?\nAnswer: 2, 3, 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, y: 3}. Give prob of picking 2 p.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -36.2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -12*a + 440. Suppose k - a = -0*k. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-46)*(s*(((s*s*s**0*s)\/s)\/s)\/s)\/s*s**(2\/5))\/(s**(-3)*s*s\/s**5)**(14\/9) assuming s is positive.\nAnswer: s**(146\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -708 - -1180. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 20. Is 10 a factor of (-80)\/s*6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from ppr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 5 - 12 + 6*a to the form f*a + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 divided by 10?\nAnswer: -193\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*u - 13, 2*u - 11 = u - 2*r. Let m be 6 + 13\/(-3) + (-8)\/6. What is the closest to m in u, 2\/7, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 46*c**2 - 1336*c + 7562. What is j(6)?\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.607ml in litres?\nAnswer: 0.033607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -37 + (-1 - -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 11:25 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11559*d = -6734*d + 328100 for d.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 281.\nAnswer: 3\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14955 by -7.\nAnswer: 14955\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6351\/22106 - 5\/3158. Which is the biggest value? (a) s (b) 4 (c) -1\/5 (d) 5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/(((j*j*j**6)\/j)\/j)*j**4*j**(-3)*j)**(-32) assuming j is positive.\nAnswer: j**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-42)*o)**(-11\/3)\/(o**(-28)*o**(7\/5)) assuming o is positive.\nAnswer: o**(2654\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002401144005 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 200639?\nAnswer: 200639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((182\/(-3))\/7)\/((-29)\/1044*24).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103703\/(-103703)*(1\/(-1)*2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -322*y**2 - 25*y**4 + 322*y**2 + (-3*y**3 - 5*y**3 - y**3)*(4*y + 0*y - 3*y).\nAnswer: -34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 73\/(-7) + 3\/7. Does 12 divide (-909)\/(-15) - (-6)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -374*x**4*z**2 + 32*x**2*z**2 - 6*x*z**2 + x*z + 1611*x wrt x?\nAnswer: -4488*x**2*z**2 + 64*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*d + s - 9, -4*d + 12 = -s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 48 + 41 = 4*m + 85, 5*v = -7*m + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 4*m**3\/9 + 256*m**2\/3 - 172*m + 716. Determine j so that r(j) = 0.\nAnswer: -129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 61*w + 1 + 66*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcsru. What is prob of picking 1 c, 1 r, 1 s, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 9:03 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 19.5609.\nAnswer: 195.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.277 - 0.177. Let t = 9 - -2. What is the third biggest value in t, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -538288, -1076578, -1614868, -2153158?\n\"Answer: -538290*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/((sqrt(80) + sqrt(80) + -1*sqrt(80) + sqrt(80))\/sqrt(10)))\/(sqrt(27)*3 + (sqrt(363) - (sqrt(363)*2 + sqrt(363)) - sqrt(3))).\nAnswer: -sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -2*(4*sqrt(108) + 4 - -1*(3 + sqrt(108))) + -3)**2.\nAnswer: -33267 - 6120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 895.179 nanoseconds?\nAnswer: 0.00000001491965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = 3*k + k - q, -q - 106 = -k. Let m = 12\/59 + 2371\/236. What is the common denominator of k\/(-2)*(-1)\/(-11) and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/3)\/((-2)\/(-3)). Suppose -3*b = 5*a + 1, 2*b - 11 = -0*a - a. Let u be 30\/18 - b\/12. What is the highest common factor of u and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w + 16 = 0. Is (-1)\/w - (-2205)\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45428475, 45428476, 45428477?\n\"Answer: j + 45428474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 17*y = 98*y + 580 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o - 9*o + 0*o + (3*o + 0*o - 5*o)*(0 + 1 - 3).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 66\/11 - (-3890)\/2*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72537947 equal to -72537947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006912300301 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8552, 17121, 25690, 34259, 42828, 51397?\n\"Answer: 8569*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/50 + j**3\/15 + 6*j. Factor b(x).\nAnswer: -2*x*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**3 + 2*l + 2*l**2 - 6*l**3 + 16*l**3 - 15*l**3 as p*l**2 + y + o*l**3 + h*l and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)\/b*b**(-12)*(b\/b**3)\/(b\/(b*b\/((b\/(b*b**20*b))\/b))) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 8382, -5.\nAnswer: -7, -5, 0, 8382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:19 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s**2 + 7 - 4 - s**2 + 1 - 6*s. Let a = -30 + 34. Suppose -a*g = 4 + 20. What is z(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*l**2 - 822*l**2 - 1602*l**2 - 1145*l**2.\nAnswer: -4233*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1080 and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q - 7. Let u be k(-7). Suppose 2*n = -35 + 25. Let w = n - u. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 3287597?\nAnswer: 3287597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 9254394?\nAnswer: 9254394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 382086065 to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1020203 (base 4) to base 7\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121582?\nAnswer: 2, 7, 11, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -203\/3 (b) 5 (c) 1.8353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016 + 1992 = 6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y + 4. Let l be i(-3). Let q be (-32)\/2 + (0 - -3). Let g be 2\/q + 67\/13. Solve m + l*x = -x - 24, -x = g*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)\/((b**(-22)\/b)\/b) assuming b is positive.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 532636349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -2*n + 5*v, -n = 4*n - 5*v - 720. Let a = n + -94. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03553395 rounded to 3 dps?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -3, 5, 76, -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2598663 > -2598725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -13*u**2 - 5*u**2 + 2*u + 14*u**2 + 5*u**2 + 3*u**2. Let b(t) = -t. What is -3*a(g) - 6*b(g)?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 1. Let o(g) = 10*g**2 - 4*g**2 - 349 + 2*g**3 + 353 + 0*g - 4*g + 5*g. Determine -o(w) - 6*x(w).\nAnswer: -2*w**3 - w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.761 + 0.639. Round m to one dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539) + (sqrt(539) + (sqrt(539) - (2 + sqrt(539))) - sqrt(539))))**2 + -6*sqrt(1100)*2.\nAnswer: -148*sqrt(11) + 543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -189, -53, -8, 3, 0.3 in descending order.\nAnswer: 3, 0.3, -8, -53, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*g + 10, 6*g - 76*g - 393 = -3*l - 11*g + 67*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 = -18. Suppose -b = 3*u - 37. What is the remainder when 18 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/3)\/r)**(-37))**(-29)*(r*r*r**(1\/5)*r)\/r*r**(-6)*(r\/r**(-2\/7)*r)\/(r**0\/r) assuming r is positive.\nAnswer: r**(37501\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + 0 + (3 - -13) + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 16) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 5*j. Let d(s) be the third derivative of 0*s**3 + 1\/24*s**4 - s**j + 0*s + 0. Let w(g) = -3*g. Calculate d(w(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9\/94, -7, 1, 4\/3, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*p = -27, -3*p = -5*t + 3*t + 18. Let u = 279683 - 279678. Factor -2\/3*l**t - 1\/9*l**u - 2\/9*l**2 - 1\/3 + 5\/9*l**4 + 7\/9*l.\nAnswer: -(l - 3)*(l - 1)**3*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-27)\/9*(0 + -1). Let f be 1\/(r\/(-63)*-3). Solve 5*n + f = d - 16, n + d + 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70164 divided by 17541\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 8:24 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13852 - -26273. Let k = i + 19085. Suppose a - 31510 = 4*a - 5*t, 3*t = 3*a + k. Round a to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/6 + 1 - -2. Let w = 0.2 + 0.8. Which is the third biggest value? (a) -0.1 (b) s (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 88. Suppose -5*n - 2*a + 90 = 0, 22 = 3*n - a - q. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217329041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(27\/2) + (-169858)\/(-1251). Calculate the highest common factor of 425 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*t**3 - 14470*d*t - 24238*t**3 wrt t?\nAnswer: -12*d*t - 145428*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 10*l + m - 13 = 0, 0 = -l + m - 1. Sort -1, -222, l in ascending order.\nAnswer: -222, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*g + 186*g - 384*g to the form m + l*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 151 = -21*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*y - 5504000 = -259*y. What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/41 or 31853?\nAnswer: 31853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 2*w + 2. Let j be u(1). Factor -5502*s**j + 5498*s**2 - 168 + 20*s + 72*s.\nAnswer: -4*(s - 21)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/5 + 5*z**3\/6 + 255*z**2\/2 + 204*z. What is the first derivative of u(h) wrt h?\nAnswer: -12*h**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2950 by -71475.\nAnswer: -118\/2859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2494 - 1097. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -0.1. Let m = -209\/1755 - 5\/351. What is the nearest to 1 in j, m, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 3\/7, -22979, 11?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(484\/(-176)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 5*a)*(0*a + a - 6*a)*(185*a - 245*a + 117*a).\nAnswer: -570*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 3*p**2 + 3*p - 16. Is n(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27533299003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7746511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.8 + -8.8. Let h be 1\/14*(-5 - -1). What is the third biggest value in 1\/11, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004431748 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -191*g**4\/4 - 397*g - 435. What is the first derivative of w(p) wrt p?\nAnswer: -573*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 q when four letters picked without replacement from {p: 1, q: 3, y: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 2*d**5 - 3*d**5 + (-3*d**4 + 5*d**4 - 3*d**4)*(2*d + 2*d - 6*d) - 4*d**5 - 3*d**5 + 5*d**5 + (-16*d - 21*d + 16*d)*(-5*d**4 + 4*d**4 + 2*d**4).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f**3\/3 - 670*f**2\/3 - 1488*f - 2040 = 0 for f.\nAnswer: -34, -6, -15\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000100011111101 (base 2) to base 7.\nAnswer: -204146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23202 + 1?\nAnswer: 23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1 rounded to 1 dp?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 9*k - 9. Let m(g) = 3*g**k + 5*g**2 - 15 + 4 - 9*g**2 + 28*g. What are the prime factors of m(19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11776 is divided by 740?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 c, and 1 x when three letters picked without replacement from wcdzwxwccwzd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 8 = 2. Suppose c*q - 20 - 20 = 0. Solve -q = 4*p - 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*n - 8*c**2*n**3 - 4*c**2*n + 103*c*n**3 wrt c.\nAnswer: -18*c*n - 16*n**3 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -60*x - 75. Let k(j) = -5*j - 6. Let z(b) = -4*g(b) + 50*k(b). Give z(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -616 + 644. Suppose s + 8*s = 693. What is the smallest common multiple of a and s?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 2*i**2 + 3*i**2 + (-1 - 1 + 1)*(-3*i**2 + i**2 - 2*i**2) + (i - i + 2*i)*(-2*i + 2*i - i) to p + n*i + t*i**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 4, o: 3, a: 2, x: 10}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/14 + 2\/(-7). Suppose 9*s - 7*s = 0. Let z be 3 - (-2 + s + x). Calculate the highest common factor of z and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/3)*u)\/u**8)**(1\/12)*(u**(2\/5)*u*u\/(u*u**(-1\/5)*u))\/(u**8\/((u*u\/u**2*u*u)\/u)) assuming u is positive.\nAnswer: u**(-1237\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/6, 384, -4, 5, 4918?\nAnswer: 4918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11) + -3 - ((sqrt(121)*1)\/sqrt(11) - sqrt(11)).\nAnswer: -sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**17)**(-6)\/(t**(-2\/67))**14)**(4\/5) assuming t is positive.\nAnswer: t**(-27224\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -61787, -0.4, 0.1 in descending order.\nAnswer: 0.1, -0.4, -61787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 14*h - 6. Let r = -12 + -18. What are the prime factors of ((-154)\/35)\/(h\/r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535 + 11161 = 141*t + 31*t for t.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p - 6. Let x be o(0). Let h(d) = d + 1. Let g be h(x). Sort 4, -4, g in ascending order.\nAnswer: g, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from {o: 2, s: 2, l: 1, f: 1, e: 12}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -344*l - 890 wrt l.\nAnswer: -344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let w be i(-5). Suppose 5*r = 5*l + 75, 58 = 4*r - w*l + 2*l. Calculate the remainder when 26 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) -4\/395 (c) 5 (d) -0.1 (e) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470\/5320*-4 + -1*4*3\/(-12)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8\/w)\/w**16)\/(((w*w**(-14)*w*w*w*w)\/w)\/w*w\/(w*w\/w**(2\/27)*w)*w) assuming w is positive.\nAnswer: w**(79\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*f + 21*f - 52 + 54 - 34*f - 30*f.\nAnswer: -68*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 divided by 585541?\nAnswer: -17\/53231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(16\/(-128)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101294?\nAnswer: 2, 50647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/5*(-21 + 11). Let c(q) = -83748*q - 16. Let i be c(j). Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + 17 + -55 + 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 - (72 - -98) - (-3 + -17).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4443 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyyy when four letters picked without replacement from {k: 1, o: 6, f: 1, u: 2, y: 3}.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 372866485.5106 and -24.\nAnswer: 372866461.5106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1770374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*m + 781*m - 5655 = 250*m + 6501 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00972 rounded to 4 dps?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578501 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1190, 5, 68 in descending order.\nAnswer: 68, 5, -1190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -3237?\nAnswer: -3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -10 - (24 - 2) - 38?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d + 58 = 766 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220110112 (base 3) in base 4?\nAnswer: -21022031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:30 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 + 53*v + 64. Give u(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 5 - 3 + 0 + 2 + 1 - 3 - 1 + 0 + 1 - 3 + (-2 + 0 + 3)*(3 - 4 + 2))*(-2*q**2 - 3*q**2 + 6*q**2).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 76*y**2 + 8*y**2.\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1307 + 1297 - r**2 - 2604 - 692*r in the form i + y*r + k*r**2 and give y.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 35 = 3*i, 3*o - 114*i + 60 = -123*i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559078987?\nAnswer: 859, 1814993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4896 - -192. List the prime factors of a.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, y: 1, k: 1}. What is prob of sequence koy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -6256810.\nAnswer: -11\/3128405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5535 divide 202331925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1 - (-98)\/96). Suppose 0 = -2*s - 4*x + 130, -3*s - 6*x + x = -195. List the prime factors of (u\/20)\/(-3)*s\/(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17606 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8125.7 and 0.08.\nAnswer: -8125.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 f when four letters picked without replacement from lhpeeeeffehefe.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, t: 2, m: 1, n: 1}. What is prob of sequence dddt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9068027 to the power of 1\/2, to the nearest integer?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**4\/8 - 7*p**2. Calculate w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37384351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*g*k*r**2*v - 51*g*k*r - 251*g*k*v - 2*g - k*r**2 + 9*r**2*v - 43*r**2 wrt v?\nAnswer: 3*g*k*r**2 - 251*g*k + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/(-95)*155\/186.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*u - 26. Let d = -1 - -6. Sort d, u, 1.\nAnswer: u, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-125))\/(20\/(-200)))\/(2\/(-30)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2074 - -2083. Calculate the lowest common multiple of 571 and l.\nAnswer: 5139","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(128) + sqrt(128) + sqrt(128) + -1*sqrt(128) + sqrt(128) + 2 - (1 + 1 + sqrt(128)))*-3*4 + 4 + -5)**2.\nAnswer: 1152*sqrt(2) + 663553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 196 (b) -1\/2 (c) 1\/3 (d) -1\/5 (e) 0.1 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 729000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41656 is divided by 38004?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50629924 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9289, 9056, 8823, 8590, 8357?\nAnswer: 8124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 23*k + 14 - 14 + 86*k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275571 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362738*f**2 - 49331*f**2 + 43772*f**2.\nAnswer: 357179*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44488\/27 - 1647. Calculate the common denominator of p and 5\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 1, -5.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/15 - 17*z**5\/10 + 289*z**4\/24 + 12*z - 2. Factor m(t).\nAnswer: t**2*(2*t - 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**2 + 3*m**2 + 3*m**2)*((-3 + 121 + 40)*(-5*m**2 + 2*m**2 + 5*m**2) - m**2 + 5*m**2 - 3*m**2 + (-m**2 - m**2 + 4*m**2)*(2 + 0 - 1) - 3 + 3 + m**2).\nAnswer: -320*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -356\/3 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + 2 - 2 + (-3*w**2 + 4*w**2 + w**2)*(w**3 + w**3 - w**3) + 2*w**5 + 0*w**3 + 0*w**3 + 2*w**3 - 5*w.\nAnswer: 7*w**5 + 2*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1835 + -1.094.\nAnswer: -1836.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 11 - (-8 - (10 + -27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**9\/12096 - i**8\/2240 - i**7\/1120 - i**6\/1440 + i**3 + 8*i**2. Let w(h) be the first derivative of g(h). Factor w(s).\nAnswer: -s**2*(s + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10213 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4742 = -4*m - 4758, -2*w = -5*m - 52 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 1:51 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 23\/3)\/((-19)\/(-285))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-4)\/(4\/5). Let c(p) = 7*p**2 - 11*p + 11*p**3 - 6 - 10*p**3 - 3. Does 11 divide c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 22*i - 2*z + 100436 = 0, 0 = 5*z + 10. Calculate the highest common divisor of 120 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 f, and 1 k when four letters picked without replacement from zbfkbkkkkkkffkfbfkzk.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i + 11. Suppose 20 = 3*v + 2. Calculate the remainder when v is divided by s(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*m - 4, 3*m - 2*m = -2*x + 1. Let j = 1\/2 - x. Are -2 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393323 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 27*b**2 + 62*b - 6. What is u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 1376 = 567 + 55 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 1)*(2*y + 0*y - 1 - y).\nAnswer: -8*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 9) in base 10?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.88739 weeks?\nAnswer: 2351093.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536 minus 0?\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(7 - (-3 - 0)). Let q = 21.63 + 0.37. Let b = 21.5 - q. What is the second smallest value in -2, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-1978)*43)\/(-2*36\/3216).\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.5, 2\/9, -3, -236?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*a + 764008 = 7*a, 0 = 3*d - 5*a + 2292020. Round d to the nearest 10000.\nAnswer: -760000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -72*s**2 - 23826*s + 19905 = 0.\nAnswer: -1327\/4, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -13, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 5\/(-2))*2. Suppose 3*b = 4*b - q*r - 20, 0 = 2*r + 10. Let v(c) = c**2 - 3*c + 7. Let f be v(6). Solve -2*w = -o + 10, 5*o - 4*o - b*w = f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, -2\/23, 2\/63 in decreasing order.\nAnswer: 2\/63, -2\/23, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1065 - -3589. List the prime factors of x.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -174 + -1?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43694 + -453?\nAnswer: -43b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/405)\/(-1))\/(100\/(-48) - -2)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -716, -1425, -2132, -2837?\n\"Answer: g**2 - 712*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172072701 to the nearest integer?\nAnswer: 13118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -468814*h + 468719*h - 8265 for h.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**28*(k\/(k**(2\/7)\/k))**(-17) assuming k is positive.\nAnswer: k**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 34, 2*g + 1513*i - 45 + 7 = 1512*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(110) + sqrt(110)*1*1 + sqrt(110))\/(sqrt(176)*-1))\/((-2*sqrt(30))\/sqrt(6) + 4*(sqrt(20) - sqrt(5))).\nAnswer: -3*sqrt(2)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 2*w**3 + 4*w**3)*(3 - w**2 - 3) + 0*w + 0*w - 2*w**5 + (5 + 5*w**3 - 5)*(5*w**2 - w**2 - w**2).\nAnswer: 11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122054739.\nAnswer: 3, 40684913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 124292091 to the power of 1\/3, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -144 (c) -152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65025313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/55 or -657514?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 24*p + j + 36, 2*p - 37 = 5*j. Solve -p + 23 = 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -127, -205, -299, -415?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Let x(f) = -f - 2. Let r be x(0). Let y be r\/(-10) - 64\/20. Sort 3, y, i in increasing order.\nAnswer: y, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -0.18.\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/9 - 454217456*x\/9 + 25789187166888992\/9 = 0.\nAnswer: 113554364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 + -8 + -2*(-2 + (-27294)\/12) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 2*l - 34 = 0. Suppose -7 = -i - l. Put 3, i, 2, -10 in increasing order.\nAnswer: -10, 2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.158*1238.\nAnswer: 1433.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 541, 572, 603, 634?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12*1)\/((-14)\/14). What is the highest common factor of 564 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22020 (base 3) to base 8\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 11*t + 2. Determine u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10657 + -143262190.4\nAnswer: -143272847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 24*r**2 + 3828*r + 43507. Give u(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 9*l**2 - 19*l - 38. Let h be v(13). Put -5, -2, h in descending order.\nAnswer: h, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*h = -101, -271*a + 3*h = -269*a - 48. Suppose 2 = r, 9*w + 5*r = 4*w - 145. What is the remainder when a is divided by w\/(-4) + 2\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7050 + m**2 + 2*m**5 - 7054 - 7*m**5 - 2*m**3 wrt m?\nAnswer: -300*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -64, -1\/2, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 3*q + 0*q**2 + 4\/3*q**3 - 1\/4*q**4 + 9. Determine u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = c - 5*z, -2*z - 3 = 3. Calculate the smallest common multiple of c and -2*1*10\/(-25)*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 1 + 4*c + 6 - 2*c. Give d(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -0.0057.\nAnswer: -0.4057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/58)\/(o*o**(-6))*(o**(4\/29)\/o)**(13\/3))**(-40) assuming o is positive.\nAnswer: o**(-4340\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 14 - 1\/60*i**5 + 0*i + 1\/6*i**3 - i**2 - 1\/4*i**4. Determine v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2029825, -2029837, -2029849, -2029861?\n\"Answer: -12*b - 2029813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17929.\nAnswer: 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/42 and -41\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*w + 812, 3*i - 2*i = -5*w + 180. Let m = -160 + i. Solve 0 = -m*h + h + 5*g - 15, -h + 3 = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*(y\/y**0)\/y*y))\/y*y**(3\/20)*y\/y**2*y\/(y\/(y**(-1\/17)\/y)*y))**44 assuming y is positive.\nAnswer: y**(-14619\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.285 + 11.715. Which is the second smallest value? (a) 0 (b) y (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1571 - 672 - 581)*(-k**3 - 2*k**2 + 2*k**2) as o*k**3 + d*k**2 + x*k + s and give o.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146064.\nAnswer: 2, 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1372)\/280)\/(-7)*(6\/(-5))\/((-126)\/(-20))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588000?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:58 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 3*n - n, 3*g - 10 = 4*n. Let h be g + (-1)\/((-3)\/9). Let a be (-3)\/h - (-7)\/39. Put -4\/5, a, 3 in ascending order.\nAnswer: -4\/5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2962b - 2086?\nAnswer: 27565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3 - 3) + 1 - 1) + 1087. Suppose p + 169 - 443 = -b, -b = 4*p - m. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -n + 9, -5*n - 5*u = 6 - 11. Sort -3, n, -4, 7.\nAnswer: -4, -3, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3702 + -644. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101166 to the nearest 1000.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 + 0 - 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2563 + 12166. Suppose -6*g + 2*g - k = j, 0 = j + 3. Round g to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*k + 61, -10*k = -5*g - 9*k + 53. Calculate the common denominator of (g\/(1672\/(-400)))\/1 and 27.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 9142 = -7371. What is the highest common divisor of 297 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1231107943 rounded to four decimal places?\nAnswer: -0.1231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**3 + 54*q**3 + 9 - 37*q**3 - 2 - 14*q**3.\nAnswer: -9*q**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1 - 2) + 2 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -1)*(-12 + (42 - 37))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 312?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (57\/12)\/(4\/16). Solve -3*i + 3 = -2*l + 5*l, i + m = 4*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234594?\nAnswer: 2, 3, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6*1)\/(-21*(-11)\/3696)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a. Let i(o) = 10*o - 1. Let d = 291540 - 291547. Suppose 0 = -3*n - 4 - 2. Give d*u(k) + n*i(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kftkokftovffffkt. What is prob of sequence vk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 24640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 60\/(-50)*(3 + 44\/(-8)). Suppose -y - 2*y + 4*t = -26, -y + 3*t = -2. Suppose y*b = 11*b + j. Which is smaller: 5\/21 or b?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209) - (sqrt(209) - ((-3*sqrt(209) - sqrt(209)) + sqrt(209)))*-6))\/((-3*sqrt(132))\/sqrt(12)).\nAnswer: -26*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (sqrt(133) - sqrt(133)*2)*4)\/sqrt(7).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 209 + 209. Let h(o) be the third derivative of 6*o**4 + o**3\/2 - 27*o**2 + 2. Determine h(y(c)).\nAnswer: -288*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30*-4)\/4*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -50*v + 6*v**2 + 49*v - 3 + 20*v**2 + 0*v**2 - 6*v**2. Give n(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*g*h**2 - 3*g + h**2 - 11836*h - 3939 wrt h?\nAnswer: 14*g*h + 2*h - 11836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/620)\/(276\/111228).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 17*m - 14. Let d be k(1). What is the second derivative of -21*a**d + 169*a**2 + 310*a - 173*a wrt a?\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 18 = 2*b, 65*b - 10 = 63*b + 2*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-0.1.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3229\/167 or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*59703.94.\nAnswer: -4179.2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3805, 0, 5, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, 0, -3805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2*(-824)\/(-80). Let z = 3 + -28. Let m = h + z. What is the biggest value in m, -0.4, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.6 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.615191ng to tonnes.\nAnswer: 0.000000000000000615191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 165553*b**5 - 269*b**3 + 23666332*b + 2.\nAnswer: 3311060*b**3 - 1614*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*v**4 - 13\/3*v**3 + 0*v + 0 + v**2.\nAnswer: v**2*(v - 3)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 3. Let j = 1.33 + -1.03. Put 2\/3, j, m in decreasing order.\nAnswer: m, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 17 = t, -4*t + 5*s + 245 = 213 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -4. Let h(s) = -12*s. Let g be h(i). 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: Put 3, -3, -4, -462, -6 in ascending order.\nAnswer: -462, -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -23)\/(-1) - (170 + -192)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -232.06 + 229. Let c = -3.3 - z. Let h = -0.04 - c. What is the smallest value in h, -3\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u - 18. Let o(j) = -j**2 + 7*j + 14. Let k(m) = 7*i(m) + 9*o(m). Let c(b) = -6*b**2 + 2*b. Calculate c(k(h)).\nAnswer: -486*h**4 - 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11522450?\nAnswer: 2, 5, 230449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2314117058?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -141544, -283084, -424624, -566164?\n\"Answer: -141540*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25252301 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 401282 - 267381. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -316, -445, -556, -643, -700?\n\"Answer: r**3 - 148*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.74 and 2?\nAnswer: 7.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/14)\/((-1)\/(-1)). Suppose -u - 2*b - 3*b = 18, -u - 4*b - 14 = s. Let d(f) = 10*f - 6. Let r be d(u). What is the greatest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(196\/(-42))*-341*152\/(-1254).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**5 - 1912*d**4 - 303616*d**3 - 18505728*d**2 - 481296384*d - 4529848320 = 0.\nAnswer: -192, -32, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/185 (b) -4 (c) 4\/9 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbubbbbubbbbbbbb. What is prob of sequence bbb?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164656254 by 7.\nAnswer: 23522322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3459143 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 4) in base 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 2 = -9*o, -2*s + 90 = -5*o. What is the smallest common multiple of s and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-6)*(-25)\/(750\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 23*m**2 - 18*m + 14. What are the prime factors of h(10)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 - -1)) + (-61 - -75) + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 2. Suppose 0 = -u - 1 + 3. Suppose 2*f + 7 = -3*j, 0*f - u*f - 9 = 5*j. Let q be (-5)\/2*(4 + f). What is y(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -39.7. Let m = 0.21 - -3.79. Let z = m - 1. Which is the third smallest value? (a) z (b) k (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2744 divided by 1\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -309, -936, 2\/29 in decreasing order.\nAnswer: 2\/29, -309, -936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 2*u + 3. Let f be k(-3). Let i be (-2)\/(-6) - f\/18. Put i, -4, -2 in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:26 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-630)\/(-133)) + (-4)\/(-20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2. Let w(x) = 2*x**2 - 3*x - 3. Let y(v) = -1 - 3*v - 2*v + 4*v + 0*v. Let i(l) = -w(l) + 3*y(l). Calculate h(i(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8078583 decades in centuries?\nAnswer: 0.08078583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131034103 (base 5) to base 6.\nAnswer: 21440552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 1\/2*b**2 + 1\/6*b**3 + 6*b - 5. Let y be (-8)\/6 + 1\/3. Give f(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let m = 8 + -13. Let v = -3 - m. Let l(s) = -2*s + v*s - s. What is l(h(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1279854?\nAnswer: -1\/639927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*q - 148*q + 267*q = 0. Solve q = 28*t + 23 - 219 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148967940, -297935878, -446903816, -595871754, -744839692, -893807630?\nAnswer: -1042775568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 8 + 11\/3*x**3 - 3\/4*x**4 + 0*x**2 + 0*x. What is the third derivative of t(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.4. Let g be 54\/108*-52 + 184\/7. Which is the closest to g? (a) m (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from xhhdhxdd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3653382 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/28036?\nAnswer: 1\/28036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 50, -9, -43 in descending order.\nAnswer: 50, 5, -3, -9, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.3 + -23.3. What is the nearest to -0.1 in 0.2, 13, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3554 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526872787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*d**3 - 5*d - 4*d**2 + 132*d**3 + 4*d**2 wrt d.\nAnswer: 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/10))\/k**(5\/7))**25 assuming k is positive.\nAnswer: k**(205\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 13) in base 16?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*l**2 + a*l - 2274*a - 7*l**2 - 457954*l + 85 wrt l.\nAnswer: -4*a*l + a - 14*l - 457954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -22) + 0 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 322\/70 - (-2)\/5. Suppose p*t - 73973 = -833973. What is t rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5867273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4\/3, -8\/89, -0.3, 9?\nAnswer: -8\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**3 + 3*u**2 - 2*u - 14. What is v(5)?\nAnswer: -699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2539 + 5546. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*s - 2146 = -181*s + 385*s for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -309.3\nAnswer: 123.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33381730?\nAnswer: 2, 5, 31, 257, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53645 is divided by 10663?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnkkkkyjkj. Give prob of picking 1 n, 1 j, and 1 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*p**4 + 4*p**4 - 11*p**4 - p**4 + p**4 - p**4 + (0*p + 0*p - 2*p)*(-3*p**2 - 2*p**3 + 3*p**2) + 2*p**4 + 4*p**4 - 4*p**4 + 2*p**4 + 2 - 2.\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1410434 divided by 4733\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*t - 17, -77*m - 32 = -81*m - 3*t. Solve -m = -3*a - 2*j, a - 7 = 2*j + 8 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(66\/(-36))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9344 and 1752.\nAnswer: 28032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + -4*(0 + sqrt(448) - (-2 + sqrt(7))*-4))**2.\nAnswer: -34994 + 7104*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025799 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36064 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/h**(11\/3))\/h)\/h**(-32))**0)**(-15) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7710407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnbbronbzznzoznngbon. What is prob of sequence rnzb?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116727246*h**3*k**2 + 72*h**3*k + h**3 - 9*h*k - 2*h - 11240*k wrt k.\nAnswer: 233454492*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006972 to 5 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -12 + 3 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/15*63\/56. What is the nearest to 2\/5 in -0.2, -1.6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 + 2)*-1)\/(12\/(-18)). Let o(n) be the second derivative of -1\/12*n**4 + 0 + 0*n**2 - 2*n - 5\/6*n**d. Find the second derivative of o(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.83 + -0.43. What is the second smallest value in -5\/7, i, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7518, -30051, -67600, -120165?\nAnswer: -187746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440109 is divided by 9757?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 11. Let j = 1 - -2. Let l be f(j). Let g(z) = -38*z - 2*z**2 - l + 28*z + z**2. Calculate g(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = 2*b - 3*b, -l + 4 = 0. Let g(y) = 8*y**2 - b*y**2 + 0*y**2. Let m(p) = 31*p. Calculate m(g(n)).\nAnswer: -93*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -779967 + 779967 + 2*g. Let j(y) = -50*y + 4. Determine k(j(w)).\nAnswer: -100*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/4 + (-638)\/264 + (-4)\/(-2). Let h(l) be the second derivative of 0 - 19*l - w*l**3 + 0*l**2. Let c(j) = 4*j - 10. Give h(c(p)).\nAnswer: -8*p + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 8) in base 13?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:26 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*w = -9926. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48724 and 6188?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -284, -288, -292, -296, -300?\n\"Answer: -4*a - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 187. Let w be q\/6 - 4\/(-6). Let h be w\/(-66) + 18\/22. Solve -3*k - 5*p = -1, k - h = p + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15818668 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 634 + -43113?\nAnswer: -42146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 2*h**6\/15 - 17*h**2 + 14*h + 12. Let f(l) be the first derivative of g(l). Differentiate f(r) wrt r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5029 to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/75 - (-88)\/210. Which is the third smallest value? (a) 0 (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29.8314 and 0.3.\nAnswer: -8.94942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*j = -7*j - 10, 5*j - 33 + 8 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.1 - -42.07. What is the nearest to 6 in -5, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2)*l))**(-24)*l**(-1\/17)\/l*(l\/l**(1\/6))\/l*l*((l**(1\/3))**(14\/9))**10 assuming l is positive.\nAnswer: l**(70649\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021203 (base 4) in base 9?\nAnswer: -31834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 + -0.13. Put 9, w, 2\/5 in decreasing order.\nAnswer: 9, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247964 divided by -2.\nAnswer: 123982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -267695 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:36 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66163 - 41558. Let s = f - 17166. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**2 + 12*t + 18. Let i(o) be the first derivative of -o**3\/3 - o + 2. Let h(q) = -5*i(q) - x(q). Is 7 a factor of h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from {w: 1, v: 9, x: 8, u: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*f. Suppose -3*d + 2*d + 32 = f. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1610154 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3143300 (base 5) to base 12\nAnswer: -26786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p - 547 + 522 = -1033 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -17*m. Let a(g) = -63*g**2. Let d(y) = -7752*y**2. Let u(o) = 247*a(o) - 2*d(o). Give i(u(k)).\nAnswer: 969*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*o - 11*o - 7*o**2 in the form k*o + v + j*o**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212665 is divided by 1890?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - w - 2*w**3 + 29 - 56 + 34 + 2*w**4 to the form c*w**2 + r*w + f + b*w**3 + i*w**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10323?\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i = 78*i - 778698. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280138 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - u + 1. Let m(h) = 2*h**2 + 3*h - 8. Let d(i) = -m(i) - 5*s(i). Let n(r) = -r**2. What is d(t) + 6*n(t)?\nAnswer: 2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 21*j**2 + 8*j + 2. Let c be g(-21). Let r = -55 - c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 12*p - 4. Let l(z) = 7*z - 13. Let g(f) = -f + 3. Let b(h) = -4*g(h) - l(h). What is -18*b(c) - 4*v(c)?\nAnswer: 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 2:42 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + 36\/(-6). Let g be k\/(-4)*(-16)\/(-12). Solve -3*s = g*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 30. What are the prime factors of n\/5 - 48\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 45 = 6*v. Let p be (-5)\/v - (-72001)\/3. Round p to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9220 - -9220.0000018491. What is r rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -258?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(660)\/(sqrt(11) - -4*sqrt(11)))\/sqrt(12) - -3*(sqrt(180)*-4 + 2)**2.\nAnswer: -1439*sqrt(5)\/5 + 8649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 29603*d - 325607. Calculate k(11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18736 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (13 + -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + 0 + sqrt(68) - (-4 + sqrt(68)*-3)) + 1)**2.\nAnswer: 144*sqrt(17) + 1169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b**4*q**2 - 125333*b**4*q + 762*q**2 + q - 115 with respect to b.\nAnswer: -40*b**3*q**2 - 501332*b**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 1. Let y(l) = 2*l + 21. Let u be y(-9). Let b be 8 - 3*(u - 2). What is p(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1643*z + 886*z = 2155*z - 332*z - 147060 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -314 + 325. Let z = -6 + s. Let r = -2 - -3. Which is the closest to r? (a) -0.1 (b) z (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven fifths of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 3*sqrt(65)*2 - sqrt(65))\/(sqrt(5) + sqrt(320)*-2).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c**2 - 4*c**2 - 3*c**2)*(3*c + 11*c - 3*c + (-5 + 2 + 1)*(-c + 2*c + c) + 3*c + c - 3*c) to r*c + w*c**3 + g*c**2 + m and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 4*f**2 - 3*f - 1. Let k be c(-3). Is k less than 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9979 is divided by 1110.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3\/6 + r**2\/2 + 3*r. Let p(y) = 8*y + 2. Let c(o) = p(o) - 2*x(o). Let j(q) = 2*q**2. Give c(j(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967261?\nAnswer: 967261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 91. Let w be c(-7). Let t = w + 74. Let f(u) = u**3 + 4*u**2 + 4*u + 1. Determine f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000010011010111 (base 2) in base 3?\nAnswer: 10101121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m = -49 + 127. Solve -10 = m*y - 2*v, -6*v = -y - 2*v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 935 = -9*x + 4*x, 5*p = -x + 171. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 8*m**3 - 21*m**3 + 2.\nAnswer: -27*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563696 is divided by 80528.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 1:22 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2 = -2*p, 4*k + p + 2 = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**4\/7 + 22*h**3\/21 + 13*h**2\/7 + 8*h\/7 - 49. Find b, given that p(b) = 0.\nAnswer: -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.0091.\nAnswer: 0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*(-3)\/6)\/((-1)\/29). Let c = i - 24. Suppose 2*u + 4*b - 31 + 9 = 0, 0 = -c*u + 5*b + 100. Solve 0 = 5*v - 3 - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63313239?\nAnswer: 3, 11, 197, 9739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 2*w + 1. Let p be -6 - (-2 + (2 - 0)). Let n be q(p). Let a = -2653 + 2658. Sort a, -2, n.\nAnswer: -2, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = 4*c - 19. Let w = 191 + c. Suppose g + 5*s - w = -4*g, -2*g = s - 41. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.1 - 0.1. Let p = -18 + d. What is the closest to -0.2 in 3, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1186, -1126, 176, 2720?\n\"Answer: 621*b**2 - 1803*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1144)\/715)\/(4\/10))\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/12*6\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.246 + 4.614. Let w = n - 6.86. Which is the fourth smallest value? (a) w (b) 2.5 (c) -5\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 12c?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 1. Let u(y) = -58*y**3 + y - 1. Let x be u(1). Let b be x\/(-18) - (-6)\/(-27). Solve -b*p - 2*p = -v for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -418 - 58?\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113 + -166. Let l = 63 + s. Let g(f) = -f**2 + 6*f - 2. Let j be g(4). Solve -j*p + p = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let f = 343 + -341. Let w(g) = -84*g**2 - 213*g**2 + 44*g**f - 30*g**2. Calculate c(w(d)).\nAnswer: 566*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 4*a - 140. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/123 and -63\/82.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -12.99999993. Round d to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/6 and -131\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 2\/2061 (c) 154 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 3*t**2 + 3*t. Let f be s(2). Suppose 0 = 5*r - 8 - f. Calculate the remainder when 8 is divided by (-1)\/r*24\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -28*l + 2. Let d(t) = 9*t**2. Determine z(d(u)).\nAnswer: -252*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-6)*(-5 + 4) + -2)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 66.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from bvbvbvdfybtbbtvt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34\/3 + 29\/3. What is the biggest value in 2, -4, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((sqrt(224)*4)\/sqrt(4))\/(sqrt(84)\/(2*-2*sqrt(12))).\nAnswer: -256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 59, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901352949 to the power of 1\/3, to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + -2*sqrt(5)*4 + 0 + -5.\nAnswer: -8*sqrt(5) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329 - -353. Suppose -w - 21 + n = 0. Solve -w*z = 2*c + 1 - 0, 4*z - 4*c = 32 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 6884073?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2838.91 + 2839. Which is the closest to -0.1? (a) 0.04 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2*1)\/((-6)\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (3 - 6) - 8. Let k = -7 - u. Suppose 0*w = -w + k*f + 14, -f + 5 = w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -3\/5399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c**2 + 102*c + 950. Is 5 a factor of k(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14*4\/((-24)\/(-9)). Let b(g) = 2 - 18*g + o*g - 4. Determine b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(75) - sqrt(3)))\/sqrt(8).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 5. Let k be n(0). Let l = -2 - k. Is 19\/(l - (-10)\/(-4)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15) - 62\/(-10). Let l(b) = -27950*b**3 + 55904*b**3 - 27956*b**3 - 5*b**2. Let n(z) = -3*z**3 - 6*z**2. What is x*l(w) - 5*n(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(2*sqrt(448))*3)\/(2*sqrt(242) + sqrt(22)\/(sqrt(55)\/sqrt(5))).\nAnswer: 3*sqrt(2)\/368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -2\/17 (c) 3 (d) 1 (e) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -53*v + 4. Let r(x) = 104*x - 7. Calculate 11*m(j) + 6*r(j).\nAnswer: 41*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35948132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(sqrt(24)\/(sqrt(8)*1) + 2)*-3)**2.\nAnswer: 900*sqrt(3) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3987913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 190404412 and -155865.5.\nAnswer: 190248546.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -21. Is n at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31837535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from 84286818572.04.\nAnswer: 84286818571.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -377 (b) 2 (c) -4 (d) 2\/15 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4776023 = -8*u + 15463977. Round u to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/45 + -10*18\/270?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from xlalallalalallx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.999786 - 63. Round f to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 12*p = -3*i - 69, -7 = p - 3*i for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1278 and 75.\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllllllllm. Give prob of sequence lml.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) - (-2)\/((-10)\/(-103)). Let o be (4\/(-5))\/((-8)\/y). Suppose -4*f + 12 = 0, n - 13 = -o*f - 1. What is the smallest common multiple of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13818 and 24.\nAnswer: 55272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 16*s + 55. Let n = -72 - -62. Let z be r(n). Which is the closest to -0.1? (a) -2.2 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 119, -5, -147, 1 in decreasing order.\nAnswer: 119, 1, -2, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*m - 2*y, 7*m - 3*y - 18 = 4*m. Suppose f + 3*f + 4663990 = -m*h, 4*f = -4*h - 4663992. What is f rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 4:55 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by 54\nAnswer: 71\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 6 + 27 - 17 + 6*p.\nAnswer: 6*p + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k. Let f(x) = 47*x**2. Determine f(i(d)).\nAnswer: 188*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11 + 12)\/(3\/(-6)). Let v be (-1 + r)\/(-1) - (-3 - -4). Solve v*h = -2*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 45\/4 of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 5\/12*p**4 - p**2 + 0*p + 1\/3*p**3 + 0. Is w(4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 33 = -2*d - 4*r, -4*d - 26 = -3*r. What is the remainder when -11*(1 + d) + 1 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8596 is divided by 128.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - -0.3. Let i = 2 - 8\/5. Which is the nearest to 1\/2? (a) i (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/120 - s**5\/30 + s**4\/24 - s**3\/2 - 2*s**2. Let w(m) = -m**2 - 200*m - 4962. Let v be w(-29). Give g(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b4 (base 13) in base 16?\nAnswer: 13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -15*h**2 + 110*h + 55. Let s(x) = x**2 - 8*x - 4. Let d(t) = 55*s(t) + 4*z(t). Let o(k) = 7*k**2. What is d(o(v))?\nAnswer: -245*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 12) in base 15?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(k + k + 0*k) - 1 + 17*k**2 - 18*k**2 + 13*k**2.\nAnswer: 8*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -851.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14353.\nAnswer: 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0) + -13 + 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644762.4 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 61*s + 915. Let o be h(-15). Solve o = 31*l - 119 + 26 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 3*d**2 + 3. Let q be j(-2). Suppose -q*w + 20 = -10. Solve 0 = 3*f - w - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 27 - 5 - 19 - 3*t + 3*t + 3*t**2 + (-2*t + 2 - 2)*(t - 4*t + 2*t).\nAnswer: -t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*5\/20*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-3))\/((-16)\/(-24)). Suppose 7*n - 1020 = v*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(63) + -3)**2)*6 - (-4 + (sqrt(175) - sqrt(175)*1*5)**2).\nAnswer: -2364 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752684438?\nAnswer: 2, 3, 1129, 258737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2338575 (base 10) to base 13.\nAnswer: 63b595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = -10*o + 5*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {p: 3, l: 3, s: 1, v: 1, r: 6, q: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 0.49, 10\/9, 2, 2\/41, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd1 - 2b?\nAnswer: da4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 354, 554, 790, 1074, 1418, 1834?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/(-2)*2\/(-3). Let t(s) = -7*s**2 + 6*s - 1. Let u be t(4). Let i = 189 + u. Calculate the greatest common factor of h and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11454514, 22909000, 34363486, 45817972, 57272458?\n\"Answer: 11454486*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 331812 and 1142908?\nAnswer: 10286172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n + 5. Let y be t(-4). Suppose 5*s + 2*z - 390 = 0, 5*s + y*z = 4*z + 390. Let m = 136 - s. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18305.30948 to the nearest one hundred.\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36092621927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7057644739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13166 divided by 12.\nAnswer: 6583\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f - 2*r, 3*r = 2*f + 2*r - 13. Calculate the remainder when 138\/10 - (14\/(-35))\/2 is divided by ((-70)\/15)\/((-4)\/f).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205335 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 3 (b) 16229 (c) -7 (d) -0.1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.333211 in ascending order.\nAnswer: -3, -0.333211, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 85, 10, 5, 0.\nAnswer: 0, 3, 5, 10, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4890680 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 less than 0.2?\nAnswer: -271.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041666888?\nAnswer: 2, 3, 4397, 9871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:52 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293?\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.021, -3\/2, -0.2.\nAnswer: -3\/2, -0.2, -0.021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.75 and 4442?\nAnswer: -3331.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 + 2 + 831*p - p**3 - 2444*p + 841*p + 802*p as v*p + m*p**3 + b*p**2 + n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a470 (base 11) to base 10.\nAnswer: -13871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/4 + 2*h**3 + 3*h**2 + 10*h + 1. Let i be (-99)\/(-15) - 2\/(-5). List the prime factors of u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 - -2. Let b = -0.1 + -0.3. Let p = 16\/33 - 34\/55. What is the nearest to 1 in b, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose -l + 4 + 3 = m, 5*m = 4*l + 17. Suppose l = 2*c - a. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4422, 4423, 4424, 4425, 4426, 4427?\n\"Answer: l + 4421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*d - 253*d + 48 = 0. Solve -4*u + d = -i, -i + 0*u - 4*u = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.9 + -0.9. Let w = 14 - i. Which is greater: w or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620551 is divided by 77162.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.90801 - -0.00801. Is f equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*h - 57, -5*h - 4*z = -173 - 2. Let x = -254 - -398. Let c = x - h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xxpopxoxopo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 2*n - 3*n - 20, -2*o + n + 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**1)**(-24)\/((j**(3\/10)*j)\/(j*j**(-1)*j*j)))**(-7\/10))**(12\/17) assuming j is positive.\nAnswer: j**(9933\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*s**2 + 39 + 2*s**3 - 31*s**2 + 21 - 62 + 2*s - 4*s as l + o*s**2 + g*s + a*s**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:06 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 - 14*z + 67. Let g be r(6). Calculate the highest common divisor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -47 in increasing order.\nAnswer: -47, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let m(t) = t**2 + 6*t - 1. Let u = 6 + -13. Let o be m(u). Solve -4*c + h*c = o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-24))\/((-665)\/(-23940))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) 0.5 (c) 1540\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**2*m)**(-6\/5))**(4\/37)*(m*m\/(m\/m**(3\/5))*m**3)\/((m\/m**(-1\/4))\/(m\/m**(2\/5))) assuming m is positive.\nAnswer: m**(2539\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 times 22.554?\nAnswer: -65.4066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 76*f**2 + 26*f - 4. List the prime factors of a(3).\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 30 = -92*y. Let z(a) = -5 + 10 - 8 + y + 8*a. Let g(m) = 29*m + 9. Let q(l) = 44*l + 14. Let b(f) = -7*g(f) + 5*q(f). What is -3*b(v) + 7*z(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 13 = v, -9*b - 4*v - 65 = -5*v - 34 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e + 64e?\nAnswer: 69d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*208\/(-780)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let t be q(-1). Suppose -m - t = 3*z - 0*z, -8 = -4*m - 4*z. Solve o = -m*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1161844 - -1841844. Round s to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 4*x**2 + 5*x + 1. Let g be b(5). Let u = g + 8. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/286 and 137\/48.\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17877 = 50*x + 164*x - 11371 + 3568 for x.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*d + 42 = 1077 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*d + 1124 = 0, -4*c + 2*c = 3*d + 584. Let i = 1446 + -841. Let n = i + c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 6\/5, 1, 4\/7, -2\/17?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 5*a**4 + 2205*a**3 + 284275*a**2 + 7070655*a - 472327380 = 0.\nAnswer: -223, -123, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184288068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 269369923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-939 + 939 - 187*t)*(-t**2 - t**2 - 5*t**2).\nAnswer: 1309*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 282257, 564505, 846753, 1129001, 1411249?\n\"Answer: 282248*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.19 + 0.19. Let d = 0.08 + 0.72. Let m = 4.8 - d. Does z = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 + 3*o**4 - 2*o**4 + o**4 + 4*o**4 - 4*o**4 + (0*o + 0*o + 2*o**4)*(-1 + 2 - 2) + 0*o**4 + 5*o**4 - 6*o**4.\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238998967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6518, 26100, 58736, 104426?\nAnswer: 163170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7018 and 1210?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p + 1. Let o be z(-1). Let u = o + 7. Let g be 4\/10 + 54\/15. Solve -g*m - m + u = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -44*p - 57*p + p**2 + 105*p - 6. Suppose -3*a = 3*i - 2*i - 8, -2*a = 5*i - 1. Let o be (i + -1)\/((-6)\/(-15)). Give n(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5\/7 + 2*b**4 + 6*b**3\/7.\nAnswer: 2*b**3*(b + 3)*(2*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjlj when four letters picked without replacement from tljtjtttjjjjtjjtt.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 - 4 = -8*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6476 - 6351. What is the remainder when 882 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 11*g + 3. Let v be y(12). Let t = -4.4 - -3.1. Let i = 1.8 + t. Which is the closest to 2\/3? (a) v (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 + b**2 - 6*b**2)*(-41*b - 38*b + 54*b)*(0 + 4 - 3).\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9662.3 millennia to years.\nAnswer: 9662300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1231711793 greater than or equal to -1231711793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r)**(2\/23)\/(r**2\/r)**(-41))**(-14) assuming r is positive.\nAnswer: r**(-13258\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/4 + 122036*m + 1464441\/4 = 0. Calculate m.\nAnswer: -3, 488147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2665, 2598, 2457, 2206, 1809, 1230, 433?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 14*j + 0*j. Let z(r) = r. Give g(z(b)).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -186*g + 85*g + 76*g + 76 + 1199 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 55010001.9 to the nearest one million.\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, c: 1, a: 1}. What is prob of picking 2 l and 1 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 - 12*i - 7. Let d(g) be the third derivative of g**5\/60 - g**4\/6 - g**3\/3 - 58*g**2. Determine -2*b(o) + 7*d(o).\nAnswer: -o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 909773 and -0.5.\nAnswer: -454886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/28)\/(978\/71883)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-633)\/(-2) - 2*(-6)\/(-8). Let q = c + 2504. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -107, -182, -257?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - (48 - (-101 - -103))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2 + 6*a + 2. Give l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/9 (b) -3\/4 (c) 2\/11 (d) -20\/31 (e) 6 (f) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-30))\/(6\/(-20))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 - j - 2. Let h be c(-2). Let i = -2 + h. What is y in 2*y - i*y**3 + 3*y**3 + 3*y**3 - 6*y**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*f - 3*f. Let i(c) = -c**3 + 8*c**2 + 11*c + 6. Let k be i(f). Suppose r - k = -r. Calculate the lowest common multiple of r and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 37*q**4 + 5*q**3 - 7*q - 25. Let f(o) = 56*o**4 + 7*o**3 - 10*o - 37. Let b(h) = -5*f(h) + 7*w(h). What is the second derivative of b(a) wrt a?\nAnswer: -252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -316.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 96475*y - 1 + 1 - 5*y**2 - 96475*y. Let u(c) = 2*c - 66. What is u(w(r))?\nAnswer: -10*r**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11029935 to the power of 1\/2, to the nearest integer?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*a - 88, 2*f + 5*a - 109 = -28. Suppose w = -b + 8, 0 = -5*w + 4*b - 3 + f. Calculate the remainder when 27 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000897 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 40*s**2 - 13 - 14*s + 77*s**2 - 57*s**2. Calculate the remainder when j(-3) is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 599?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24465 (base 7) in base 6?\nAnswer: -45413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-12)\/k*k**8*(k**(-2)*k)**(3\/13) assuming k is positive.\nAnswer: k**(-68\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 507 + -500. Solve -a = -2*d + z, 0*d + 5*z + 29 = 4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 752 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (50 + -50) - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:08 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 11:04 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1346509.\nAnswer: 3\/1346509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g. Let y(z) = -2*z - 3. Let f(s) = 12*s + 24. Let j(n) = -f(n) - 8*y(n). Give d(j(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 96 = b. Let w be 4 + 28\/(-6) + b\/12. Factor -5*n**5 - 22*n**4 + n**5 - 4*n - 6*n**2 - 12*n**w - 30*n**3 - 2*n**5.\nAnswer: -2*n*(n + 1)**3*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.043, 0.1, 2, -21?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 9*v = -4*v + 25 + 55, 168*v = 2*x - 2024 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4410 = 30*x - 332278 + 70738. List the prime factors of x.\nAnswer: 3, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 73. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -5. Let w = -2 + s. What is the third biggest value in 3, w, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/(76\/(-18) + 4). Let r(n) = n**3 + 4*n**2 - 7*n - 6. Let f be r(-5). Suppose -w*z = -155 - f. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057247\/43 smaller than 24587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(3584) - (-3*sqrt(3584) - sqrt(3584)) - sqrt(56)))\/(-4*-2*sqrt(128)).\nAnswer: 195*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**4 - 21*k**3 - 412*k**2 - 13057*k - 5?\nAnswer: -72*k**2 - 126*k - 824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 take away 34891940393?\nAnswer: -34891940846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/(12\/4)*29\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 354, 706, 1064, 1428, 1798?\n\"Answer: 3*d**2 + 343*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 515 + 14 + 104*b - 73*b**4 - 104*b wrt b?\nAnswer: -292*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34580 + 34580 + 468*x**3.\nAnswer: 468*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u)*(29*u**4 + 25*u**4 + 14*u**4) - 3*u**5 - 9*u**3 + 9*u**3.\nAnswer: 133*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2308838900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 4:24 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + -1 + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 138 - 51 = 0. Suppose g = -2*y + 5*w - 1, -2*y - 64 = w. Calculate the common denominator of -113\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j - 5*j**4 + 0*j + 0*j + 16837*j**3 - 3 - 16834*j**3 as k*j**3 + m + c*j + f*j**2 + z*j**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w - 19 - 5 - 207 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s + 2*s)*(-s**4 + 4*s**4 - 4*s**4) + (-4 + 4 + 4*s**2)*(2*s**2 + 2*s**3 - 2*s**2).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38183.\nAnswer: 38183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5155753 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 47\/5, 0.2 in decreasing order.\nAnswer: 47\/5, 2, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.16645 times 0.13?\nAnswer: 4.1816385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 84, 127?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**3 + 5*h**2 - 5*h**2 + 1)*((-h - 3*h - 6*h)*(5*h - 5*h + 4*h) - 5*h**2 + 4*h**2 + 3*h**2).\nAnswer: -456*h**5 - 38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -290 (base 14) to base 11\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1213937\/6993 + -4694\/27. Let q = 1\/37 - v. What is the third smallest value in 0, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*62\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 95*h**2. Let a(j) = 611*j - 141. Let l(b) = 103*b - 24. Let g(y) = 8*a(y) - 47*l(y). What is g(f(v))?\nAnswer: 4465*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 49. Let f be (8 + 2 + -2)*p\/4. What is the highest common divisor of f and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1763 (base 12) to base 6.\nAnswer: 21003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4790 = 5*q - 5*r, 950*q + 4*r - 2867 = 947*q. What is the greatest common factor of 66 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.5, 0.9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - 1. Let r(f) = 5*f**3 - 4*f**2 - 7*f - 1. Let o(w) = 6*k(w) - r(w). Is 13 a factor of o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -x - 4, -36*x = -40*x - 6*n - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111491 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 3*i - 6. Suppose 5*p + h = 38, -5*p - 2*h + 5*h + 46 = 0. What is the remainder when j(3) is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*p - 2 = -5*a, -12 = -4*p. Suppose 0 = z + a*z. Solve u - 4 = z, 5*x - 3*u + 15 = 2*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 111. Suppose -3*k + u = 2*l, 2*k + 3*l = -17 + 49. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0 + (-2 + 0 + 3)*(0 + 3 - 1) + 1 - 2 + 2 - 5 - 2 + 3)*(-u**2 + 5*u**3 + u**2) - u**2 + u**3 + u**2 + (u**2 + 0*u**2 - 2*u**2)*(0 - u + 0).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2262*a**3 + 575 + 2*a**2 - 279 - 293.\nAnswer: 2262*a**3 + 2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 7*v**5 - 28*v**3\/3 - v**2 - 96*v. Find the second derivative of h(i) wrt i.\nAnswer: 840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-15))\/((-1)\/10). Let q(y) = -y. Let m be q(g). Let d = -3.1 - -3. Which is the closest to 1? (a) m (b) d (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-2 - 4743\/(-2379)))\/(201\/(-670)). What is the greatest common factor of 416 and d?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22\/(-2) - (71 - 169) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7 - 14 + 7 - 2*o. Let v(l) = -14*l. Give v(g(b)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -4. Let f(a) = -2*a**2 + a + 5. Let g be f(0). Let q(c) = 12*c - 23. Let t be q(2). Sort g, h, t.\nAnswer: h, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1200 = -3*f. Suppose 0 = -3*x - 3*m + 15, 4*x + m - 12 = 5*m. Suppose x*k - f = -2*k. Calculate the greatest common divisor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487405.626 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004429947764 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r = -2*d + 16, -d = 2*r - 10. Solve -4*n + z - 1 + 10 = 0, 5*z = -d*n - 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = q, -2*m = -2*q + 3*m + 49. Suppose -q = -5*a + 2*a. What is the third derivative of -a*x**5 + 2*x**2 + 0*x**2 - 4*x**2 wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3543, -3535, -3551, -3591, -3655, -3743?\nAnswer: -3855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 258\/78 + 2 + -1. Determine y so that -2\/13*y**4 - 4\/13*y**3 + i*y**2 - 2\/13 + 2\/13*y + 2\/13*y**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/((36\/(-16))\/9) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95934 by -15989.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/5031416 and 46\/1886781.\nAnswer: 15094248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 1 - 6*n**2 + 18*n - 11*n**2 - 5 + 4. Let f be m(-18). Which is the closest to -0.1? (a) -0.5 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4021238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1851 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 162*v**2 - 314*v + 256. Calculate m(-79).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9872 divided by -1234?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(4*h - h - h)*(-3 + 0 - 2).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99761538 + 4?\nAnswer: -99761534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 842701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 975, 3452, 7581, 13362, 20795, 29880, 40617?\nAnswer: 53006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 12*g**2 - 12*g - 7. Let t(l) = 7*l**3 - 47*l**2 - 40*l - 28. Let m(a) = 3*t(a) - 11*z(a). What is m(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24606161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-26))\/(-17*(-18)\/(-3978)*-106).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 25*s - 1260 = 0. What is the greatest common divisor of 42 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(3\/(-5) - 32\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**2 + 29*o + 50. Let d(p) = -2*p**2 + 10*p + 17. Let x(f) = -8*d(f) + 3*z(f). What is the smallest common multiple of 28 and x(-6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1516661020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -444, -33, -109, -2\/9?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -968, -3429, -7446, -13013, -20124?\nAnswer: -28773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139889187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -154, -478, -1108, -2146, -3694, -5854, -8728?\nAnswer: -12418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*r*u**2 + 12990*n*r - 16*n*u**2 + 1346*n wrt r.\nAnswer: n*u**2 + 12990*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18040*w**2 - 5*w - 1. Let l = 26 - 31. Let m be g(l). Let i = 790976 + m. Round i to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.0287 (b) 0.3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/21 - 0)*(-19)\/76.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 146 + -155. Sort 6, 5, d in ascending order.\nAnswer: d, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*b + 322*b = -250 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -64 (c) -103620 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 30 = 4*f. Suppose 2*u = -3*p + f, -3*p - p = -4*u. Solve -6*x + u*x - 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/3 and -11\/293.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(44)\/sqrt(4) + sqrt(11) + -2 - sqrt(11)) + sqrt(55)\/sqrt(5)*6)**2 + -1 + (sqrt(110) - (-3*sqrt(110) - sqrt(110)))\/sqrt(10).\nAnswer: -27*sqrt(11) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*g - 62. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276 = 5*n + 2*r + 255, n + 468 = 157*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 - 347100*h\/7 + 14236143\/7.\nAnswer: -3*(h - 41)*(h + 115741)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/5 + 314124\/(-15). Round c to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -123\/2. Let o = 229 - 96. Let z = 136 - o. Which is the nearest to 0? (a) g (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4094685808.\nAnswer: 2, 37, 1721, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255624.\nAnswer: 2, 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12050.892433 rounded to the nearest one hundred?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 - 92 + 5*p - 107 - 88.\nAnswer: 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17740 + -4?\nAnswer: 17734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95377 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -26*d + 20. Let v be 4\/(d\/(-3)*(-64)\/(-80)). Factor 4\/11 + 2\/11*u - 2\/11*u**v - 4\/11*u**2.\nAnswer: -2*(u - 1)*(u + 1)*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**8\/588 - 16*l**7\/735 - l**6\/14 + 10*l**5\/21 + 22*l**4\/21 - 48*l**3\/7 - l**2 + 24. Let s(h) = 0. What is h?\nAnswer: -2, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 154 = -22. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 51)*18\/(-36). Solve 2*z - v + 21 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*w + 6*w - 24, -4*w = 4*a + 8. Solve -12 = 2*t + w*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94214 + -13?\nAnswer: 94201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 260 = -21*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 5. Let f be ((-15)\/4)\/(-5)*g\/9. Which is the nearest to 1\/4? (a) 1 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11690, 23311, 34930, 46547, 58162, 69775, 81386?\nAnswer: 92995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11574388 is divided by 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12309 + 0.02.\nAnswer: -12308.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let y = -11 + 13. List the prime factors of v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1467 or -1513?\nAnswer: -1513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/2, 4, 1.11.\nAnswer: 1.11, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -766 + 292.5. Round n to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 84. Let g be s\/(-2) - (-2)\/(-4). Let p = -5 - g. Solve -d - p = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23276 + 13*v**2 + 2677 + 10528 - 11*v**2 - 763*v**3 wrt v.\nAnswer: -2289*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 484103, 484303, 484635, 485099, 485695?\n\"Answer: 66*z**2 + 2*z + 484035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*q, -f + 5*q + 12 = -0*f. Let p = f - 3. Let d(v) = -8*v + 1. Let u(l) = -16*l + 2. Let m(z) = -5*d(z) + 2*u(z). Give m(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107713?\nAnswer: 107713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 89630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 + 77152\/7920 + -10\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a decade in years?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 7306*c - 224564.\nAnswer: -2*(c - 3622)*(c - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-1\/4))\/w)\/w*(w\/(w*w**(12\/7))*w)\/w*w**(-1\/9)*w\/(w\/w**(-2\/19)) assuming w is positive.\nAnswer: w**(-8047\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 2, 0 = r + 3*h - 101. Suppose 7*p = 2 + r. Suppose 28*q - 27*q - 4 = 0. Sort 3, q, -3, p in ascending order.\nAnswer: -3, 3, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 5*i + 90. What is the remainder when 124 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - 2*z)*((-3 - 1 + 5)*(2 - 3 + 0) - 3 + 4 + 0 - 2 + 1 + 4).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10532 - -10526. Let o = -3.8 + 4. Which is the biggest value? (a) o (b) 3 (c) u (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -17?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -629 and 187135446811?\nAnswer: 187135447440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z**(2\/7)*((z\/(z\/((z*z**(1\/7)*z)\/z)*z))\/z)\/(z*z**(1\/23)*z*z*z))**48 assuming z is positive.\nAnswer: z**(-33732\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1174 - 1173.99997302. Round s to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -3.2. Let p(t) = -3*t**2 - 737*t + 1483. Let x be p(2). What is the closest to -1\/4 in x, 1.3, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(2 - 1))\/(51\/((-204)\/(-8)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17138 is divided by 2443?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3485 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7712730.\nAnswer: 2, 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128270.\nAnswer: 2, 5, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + z - 20 = 0, -3*h + 4*h + 2*z - 7 = 0. Let s(d) = 2*d**3 + 4*d**2 - d - 1. Let m be s(h). Let p = 6 + m. Is -10 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 75312\nAnswer: -1\/18828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**2\/2 + 9. Let w(y) = 3*y**2 + 6*y - 3. Let j(u) = 6*u**2 + 14*u - 7. Let f(k) = 3*j(k) - 7*w(k). What is f(s(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5 - 7*z**2 + 6*z + 4 - 2. Let q = -5 + 6. Let n(g) = g**2 - g - 1. Determine q*u(c) + 5*n(c).\nAnswer: -2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*v + 504. Calculate the remainder when 213 is divided by v.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 32 = 7, 5*y - 3*x + 85 = 0. Let v = 56 + y. Suppose 3*f = z + 2*z - v, -f = 3*z - 26. Solve -2*l = z - 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1522 + 1295 = -91*q + 269 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58478 is divided by 162.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*w - 1147*w - 29 + 376*w + 3*w**3 + 385*w.\nAnswer: 3*w**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 3, 11?\n\"Answer: 8*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52 - 86 - 7*u**4 + 13*u + 19 + 163 + 155 with respect to u.\nAnswer: -28*u**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 3*u - 5*u + 0*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -535*v**2 - 2*v + 3. Let f be p(1). Is f\/(-4)*(-2 + 0 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518 and 28?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3501 in -1.39, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -129574, 1298 in ascending order.\nAnswer: -129574, 0.5, 1298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(76) + 0)*4*5.\nAnswer: -200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251648133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -78293*g - 181. Let p be i(27). Let f = 245908 - p. What is f rounded to the nearest 100000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/((-6)\/(-16)). Find the second derivative of -y*x**3 + 3*x + 5*x**3 - 8*x**3 wrt x.\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146\/3 + 49. Is 0.06 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 35*x - 62. Let n be m(-33). Suppose 0 = 4*s + n*u, 3*u - 12 = -4*s - 8. Sort -1\/7, s, 7\/2, -4 in increasing order.\nAnswer: -4, -1\/7, 7\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -169707666.4 to the nearest 1000000.\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*h - 1. Calculate the remainder when 55 is divided by ((-2)\/h)\/((-1)\/42).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9446 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1, 0.4, -17, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, -5, -2 in decreasing order.\nAnswer: 0.4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -196766\/11 or -17888?\nAnswer: -196766\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45070331.\nAnswer: 45070331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, t: 2}. What is prob of sequence twtw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 - 9708*b + 1246304 = 0. Calculate b.\nAnswer: 136, 2291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r - 10. Let l be p(-4). Let q(d) = d**2 + d - 4*d + l + 2*d. What is the units digit of q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*j - 8 = 227*j. Let m(n) = -7*n**3 + 3*n**2 - 2*n + 1. Give m(j).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79220191 * -0.4\nAnswer: -31688076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 - 64674*t + 5518965 = 0.\nAnswer: -21643, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -9. Let q be r\/3 - (-26)\/6. Suppose -q*v + v + 6 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -2.187\nAnswer: -0.4374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Suppose -m*f + 34 = -0*f. Suppose -3*z - 2 = -f. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*h = -64*h - 0 + 68 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**5\/5 + 1098*y**4\/5 - 20484*y**3\/5 + 96312*y**2\/5 - 174816*y\/5 + 110592\/5 = 0?\nAnswer: -384, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 0*g - 3*g**4 + 2*g**4 - g + g + (223 + 166*g - 223)*(g**2 - g**2 - g**3).\nAnswer: -167*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60697*f**4 - 4*f - 459 wrt f?\nAnswer: -728364*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29769529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 69. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75245588?\nAnswer: 2, 11, 1117, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) 144\/5 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900900 is divided by 36554.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.7 - -6.6. Let p = -1.3 + 0.3. Let d = p - -0.6. Which is the smallest value? (a) 5 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 291 - 295. Suppose 2*d - 1 = 3*v, -6*v = -v - 3*d + 1. Is 28 a factor of v\/2 + -1*558\/u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 201*o - 597*o + 24 + 193*o + 200*o. What is c(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -7*t + 2*v, 3*v = 0. Solve -15 = -t*j + 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*t + 2*i, i = 3*t - 20 + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-1081)\/94)\/(7\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -358*q - 19*q - 166*q + 8145 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - q**2 + q - 2. Let n be (-6)\/9*(-1 - 2). Let s be f(n). Solve -4*l - s = -4*y, -5*y + 12 = 4*l - y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - p - 5*s - 16 = 0, 8 = -4*s. Let n = 1 - p. Is 12 a factor of n\/(-3) + (-68)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2937 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9 - 8 + 7*p - 8*p. Let u(k) = k - 1. Give -3*m(i) - 2*u(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-3))\/(7\/(-21)). Sort -4, -5, o.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 214*w**3 + 2*w**2 + 4*w + 3. Let c be b(-1). Let j = -94 - c. Calculate the greatest common factor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582 = 177*q - 468*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 23*b + 2. Give n(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 23186 = -11542. List the prime factors of f.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3612 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.4 (c) 1 (d) 0 (e) 465 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:46 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/7 - 9148*o**2\/7 + 45664*o\/7 - 7824.\nAnswer: 4*(o - 2282)*(o - 3)*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -339.1015 - -2.2815. What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b71a89 (base 12) to base 4.\nAnswer: -231023133021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1410 + -3499. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {s: 1, n: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x + 88. Let n(d) = -d**3 + 5*d**2 - 6*d + 40. Let a be n(5). What is the units digit of v(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73665 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 11243 + 1237 = 0. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54 - 0.06. Let z = h - -9.6. Let t = -6 + z. What is the nearest to -2\/5 in 0.2, 1\/9, t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75.922*0.008\nAnswer: -0.607376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1722451 and 844?\nAnswer: 1723295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 - 0.04. Let t = -0.001 - 0.999. What is the second biggest value in t, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20529 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/sqrt(24) - (sqrt(143)\/(-1*sqrt(11)))**2 - ((sqrt(13) - (sqrt(13) + -2 + -4 + sqrt(13)))**2 + (sqrt(104) + sqrt(26) + sqrt(26))\/sqrt(2)).\nAnswer: -62 + 17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -1991.72.\nAnswer: -1989.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 576114 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85338297 to the nearest integer?\nAnswer: 9238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1150774572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 180. Calculate the highest common factor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**5 - 16*i**4 + 302*i**2 - 2007*i - 1?\nAnswer: 20*i**3 - 192*i**2 + 604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/4 + 2*a**2 + 2*a - 2. Let b(w) = -4*w - 2 + 2 + 2 - 1. Let c be b(1). Give h(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z + 13. What are the prime factors of h(8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(27) + sqrt(27)*2*-5)\/(sqrt(225)*2 - sqrt(225)).\nAnswer: -8*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*y + 4, 0 = -4*x + y + 2. Suppose x*k + 3*k - 12 = 0. Let h(b) = -2*b**2 + 3*b + 4. Give h(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*k + 323, -7*k = 4*d - 4*k - 1154. Calculate the remainder when 355 is divided by d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -17\/7*k**2 - 60 - 1\/21*k**3 - 289\/7*k. Factor l(g).\nAnswer: -(g + 17)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {t: 6, k: 4, w: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -118071, -472231, -1062477, -1888803, -2951203, -4249671?\n\"Answer: c**3 - 118049*c**2 - 20*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c + 13. Let a(n) = 4*n + 4. Let z be ((-6)\/4)\/(54\/288). What is z*a(g) + 3*h(g)?\nAnswer: g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 86, 92, 98, 104, 110, 116?\n\"Answer: 6*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15)*(-10)\/154. Is 0 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 0)*(-7 - -8). Find the second derivative of -m*f - 2*f**5 + 3*f**5 + 3*f**5 + 0*f wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*u**2 - 25*u**3 - 28*u**3 + 2*u + 74*u**3 - 20*u**3 to o*u + b*u**3 + k*u**2 + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = l - 3*r, 5*l - 3*l - 46 = 4*r. Solve 4*u + 5*a = 2*u - l, 3*u - 25 = 5*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -13*s**5\/60 - s**4\/24 + 3*s**2. Determine d(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -18, -1, 24, 57?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - 55\/(-5) - -3014*207\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2347 - -1557. Let b be (1\/(-2))\/(12\/(-19476)). Let c = i + b. Calculate the common denominator of 77\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*u - 7*u - 156774. Does 53 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7783 (b) 0.2 (c) 9 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 5*c + 2. Let m(b) = -b**2 - 8*b + 13. Let v be m(-10). Let f = v - -1. Let u be (12\/10)\/(f\/15). Determine j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2041*o = -1208*o - 444798 + 116649 for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:06 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 4*a**2 + 566*a - 4032. Give b(7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - -3. Let s = 0.14 - 0.04. Let h = s + -2.1. Which is the smallest value? (a) 1\/11 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {a: 1, h: 1, c: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -228983978 and 0.017.\nAnswer: -228983977.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 2 = -1334. Calculate the remainder when p is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3 + 2 + 1 + 1. Let f(h) = -5*h - 5. Let r(w) = f(w) + 5*z(w). Let a(g) be the second derivative of g**3\/6 + 8*g. What is r(a(n))?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i**3 - 413*i**2 - 7*i - 71 + 413*i**2 - 25*i**3 in the form h*i**2 + t + x*i + u*i**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.07 (b) -3\/8 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) - (-14)\/10. Let g be s*11 - (9 + -13). Let b be g\/25 + (-741)\/(-15). Calculate the greatest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*h, -38*p - 8*h + 13 = -37*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -69. Suppose 5*g = -4 - 1. Let l be 9 + -1 + g\/(-1). Solve -4*d = -l + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28862430089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 837294.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**4\/54 + 140*y**3\/27 - 47*y**2\/3 - 2571*y. What is v in o(v) = 0?\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*v + 0 + 1\/7*v**2.\nAnswer: v*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-4)*(24\/(-15))\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -174 + 81. Let x = -84 - i. Solve x + 6 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214630.47 months in years?\nAnswer: 17885.8725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -3 - -53) + (-40 - -32) + -1\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19594613?\nAnswer: 19594613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -2057, -6689, -15699, -30539?\nAnswer: -52661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 - 14*v + 20. What is l(12)?\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1993 + 2005. Solve -11*u - o = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 15*j = -245. What is the hundreds digit of 126\/(-6)*1020\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 + 2372*o**2 - 1368502*o + 1366128 = 0.\nAnswer: -1611, 1, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*d**2 + 164*d**2 + 93*d**2 - 145*d**2 + 237*d**2.\nAnswer: 528*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from footttttoocfobooot. Give prob of sequence fcto.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(15\/30 - 34\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.73 + -3.73. Let s be 3 - (0 + -1 + -1). What is the third smallest value in s, q, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**6\/v*v)*v*(v**(-1\/4)\/v)\/v)**(26\/7))**(3\/34))**48 assuming v is positive.\nAnswer: v**(-11700\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:48 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -4)*(-22 - -21). Suppose 8680 = x*h - 3*o, 4*o - 8690 = -5*h + 5*o. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from eprvbjp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + (sqrt(120) - sqrt(120)*-2))*-2)\/(sqrt(10)*-2*2))\/((sqrt(768) + sqrt(768)*-3 + sqrt(768))\/(-3*sqrt(768) - sqrt(12))).\nAnswer: 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -1155714*m. Let u(n) = 24*n**2. Calculate u(l(i)).\nAnswer: 32056196395104*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2. Let z(k) be the second derivative of -9*k**4\/4 - 16*k. Determine q(z(x)).\nAnswer: 2916*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-4)*o)\/o*o)\/(o*o\/(o*o**6))*(o*o**(-17))\/(o*o**17) assuming o is positive.\nAnswer: o**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 n when four letters picked without replacement from ccfnfnfffccn?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 13*z + 16. Let q = -10 - 2. List the prime factors of n(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -2 - (36 - (154 + -121))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/(-81) - (-34)\/(-12)*-76. Let x = -213 + c. Solve a + 2*j + x*j = 18, j = -5*a + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2941 - -2937. Is s at most as big as 11.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:38 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 510509551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 6. Let m(k) = -k**2. Let n(r) = 11*r**2 + 11. Let b(l) = -4*m(l) - n(l). Determine 6*b(y) - 11*x(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 12*h - 5*h**2 - 3*h + 0*h**2 + 5*h + 32. Does 40 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 432 = 3*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -50 - 67. Let x(i) = -i**3 - 14*i**2 - 9*i + 56. Let d be x(y). Solve z + 4*c - 5 = 0, 0*z + 2 = d*z - 2*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q + 11 = -48*q - p, -13 = 5*q - p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 1 - (13 - 8)) + -5 - -45.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-4*g + 4*g - g)*(3*g - 2*g + 539*g**3 - 575*g**3).\nAnswer: 108*g**4 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 405 = 3*b, -3*b + 0*h - 3*h + 429 = 0. List the prime factors of -141*(b\/(-15) - -7).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -326 + 0.13.\nAnswer: -325.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + (sqrt(76) - (1*sqrt(76) + sqrt(76))))*2 + sqrt(76) - (sqrt(76)*-1 + sqrt(76))*6)\/(sqrt(2304) + sqrt(2304)*-2).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33052)\/16*(-10 + 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 53. Let s(l) = -4. Calculate 2*s(b) + t(b).\nAnswer: 6*b + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/(j\/(j\/((j*j*j*(j**(2\/17)\/j)\/j*j*j)\/j))))\/j))\/(j\/(j**(-24)\/j))*j**(-11\/6)\/(j*j\/(j*j**(-15\/4))) assuming j is positive.\nAnswer: j**(-6011\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*7*(-840)\/31605.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 5465\/8 + -683. Which is the closest to 0.7? (a) -1\/5 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -23, -45, -79?\n\"Answer: -6*x**2 + 8*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 5. Let a be h(3). Let z be a\/12*(-3)\/(-1). Suppose 0 = 5*y - z*f - 36, -3*y + f - 6 = -28. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**2 + 7*d + 21. Let l be n(-3). Let m = -72 + l. Calculate the highest common divisor of 105 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3 + 2 + 0 + p. Let w(d) be the second derivative of d**3 - d**2 - 22*d. Give -4*j(b) + w(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2281 = 4*f + 653. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 3006164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 491047. Let t(i) = 7*i. Determine u(t(b)).\nAnswer: -7*b + 491047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l**2. Let m(q) = -3675*q. Give g(m(i)).\nAnswer: -229595625*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i + 3. Determine x(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-3)\/(-2))\/(-3))\/((-12)\/(-24)). Let q(r) = r - 1. Let w(f) = -f - 2. Give i*w(h) + q(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33695 and -32.\nAnswer: -33727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/1 + 0 - (-11 + 11). Suppose t = -z + 22. Solve v - 9 = -t*m + 5*v, -4*v = -2*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -3*s, -2*c - 5*s - 17 = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222 + z**3 - 54*z + 138*z + 168*z**4 - 2*z**5 + 239*z - 227 wrt z.\nAnswer: -40*z**3 + 2016*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 1139?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 250*c - c**2 - 26*c.\nAnswer: -c**2 - 274*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 16 = -4*f + 2*p, 4*p - 12 = 3*f. Let k be 28\/(-42)*18\/f. Let x be 9\/((-3)\/(-1)) + -4 + k. What is the greatest common divisor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*o - 2 = -2*o, 0 = -q - 5*o - 7. Which is smaller: q or -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(40\/(-25))*-2. Let f(s) = -7*s + 10. Let k(d) = -8*d + 9. Let p(q) = c*f(q) - 4*k(q). What is the derivative of p(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2656 + 3941. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*o**3\/3 - 546155*o**2\/3 + 1297084*o\/3 - 750937\/3 = 0. What is o?\nAnswer: 1, 11\/8, 68267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 710\/49 = 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -41, -71, -123, -203, -317, -471?\n\"Answer: -x**3 - 2*x**2 - x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 2. What is x(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/33 + 725\/1287. Find the common denominator of p and -41\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 454 in -4, -3.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(416) + sqrt(416) + 3*sqrt(416)*-4)\/sqrt(8) + -4) + -3.\nAnswer: -80*sqrt(13) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11859749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13744141\/140 + 98173. Find the common denominator of r and 29\/350.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 less than 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2. Suppose -3*w + 6*w = -3*c + 72, 5*w = 5. Let i(r) be the first derivative of 7*r**2 - 1382*r + 1382*r - c. Calculate b(i(o)).\nAnswer: 784*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7231332 + 0.723. What is h rounded to six dps?\nAnswer: -0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -4, -3, -5 in decreasing order.\nAnswer: -0.05, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1928404539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Suppose -4*w + 3*x + 286 = 0, -j*w - w + 223 = 2*x. What is w rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 12, 5*t - 21 + 6 = j. Let m = 4210 + -4215. Which is the second biggest value? (a) 2\/19 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00602485409 to 4 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78*p**3 + 16 + 19 + 0*p - 89*p**3 - p - 246 wrt p?\nAnswer: -501*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30230 - 66?\nAnswer: -30326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/163 in -0.08, -1\/77, 0.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/2)\/((-75)\/(-20) + -3). Suppose -f = -0*w - 2*w. Let j(m) = -25*m + 1. Calculate j(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.5 + 11. Let p = f + 3.5. What is the nearest to 1\/2 in p, 2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-495)\/66*4312\/(-330).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 11*f - 7*f. Let x(d) = -1 + f*d**2 + 27*d**2 - 54*d**2. Let r(j) = -j**3 + 13*j**2 - 5*j - 7. Let n(s) = r(s) - 5*x(s). Calculate n(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -1\/10*h**5 + 1\/2*h**2 - 2\/3*h**3 + 17\/2*h**4 + 108*h + 0. Find the second derivative of v(m) wrt m.\nAnswer: -12*m + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2887 or 2211065\/766?\nAnswer: 2887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > -19660349\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from {n: 4, p: 1, w: 6, z: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -26*q**3 - 17*q**2 - 8*q - 17. Let z(d) = 3*d**3 + 6*d**2 + 9*d + 12. Let w(r) = -r**3 + r + 1. Let y(m) = 6*w(m) - z(m). Determine 6*s(b) - 17*y(b).\nAnswer: -3*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002114 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -408, -2104 in decreasing order.\nAnswer: -3, -408, -2104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5298 (base 14) to base 15.\nAnswer: -434b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 250*f**2 - 14656*f + 743. Give g(-94).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 53. Calculate the remainder when z is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-60)\/9)*(-225)\/162.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*p + 764, 4*l - 1256 = -l + p. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13001 - -9831. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 33*n**5\/20 - 9*n**4 - 7*n - 3. Find the third derivative of l(d) wrt d.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r - 246260 = -5*p - 37*r, -2*p + r = -98505. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55692, -55729, -55760, -55785, -55804, -55817?\nAnswer: -55824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1763450 and 249596.\nAnswer: 81118700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-1)\/4*-2. Suppose 4*g + 5 = -k - g, 0 = q*k - g - 1. Let z = 6 - 11\/2. Do z and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/8 and -45\/1228.\nAnswer: 2456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606244?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 8*q**2 + 9*q + 5. Let h be g(7). Suppose 0*y - y = 2*n - h, -3*n + 30 = y. Solve -7*p - 10 = -3*p - 2*x, 5*x = 3*p + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 6:40 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 4. Let z be x(-2). Let h be 10*(z + 24\/2). What is the units digit of h\/(-15)*12\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 13. Suppose -6 = 3*m, 18 = -2*s - m + 2. Let z(c) = c**3 + 8*c**2 + 7*c + 4. Calculate the smallest common multiple of q and z(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 38 + -17 - (1 - -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14292 - 17412 = 208*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81692 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = 4*s - 3*n, -2*s + 3*n = 3*s + 275. Let m = s - -43. Find the common denominator of 68\/3 and (0 - (-186)\/(-27))\/((-8)\/m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(28\/(-16))*(80\/(-128))\/(325\/(-420))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -353 - -688. Suppose 6*l - 1313 = -n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168700042 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71\/4 - 24. Let l = v + 6. Let j be 0*(-1 + 9\/6). Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 16*l - 18*l. Let r(h) = 4*h + 0*h + 4 - 5*h. Let t be 0 - ((0 - 1) + 10). Let b(g) = 4*g - 17. What is l*b(y) + t*r(y)?\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b - 8696 = -9736 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001204 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/13500 and -77\/1080.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (184\/32 - 5) + (-17)\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 41 + 15)*(23 + 34 - 8)*(-1 + t + 1).\nAnswer: -1862*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4182 - -15578. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*b*g - 11433*b - 41569*g + 74 wrt g.\nAnswer: 13*b - 41569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*o - 150 = -270*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-17)\/((-1)\/1))\/1. Let c be ((-7)\/(-3))\/(2\/102). Calculate the greatest common divisor of m and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 4844?\nAnswer: 43596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 91*b**2 - 1136*b - 11905. Calculate x(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 15*w - 1507 + 5719. Sort w, -2, -3 in increasing order.\nAnswer: w, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40226 is divided by 1003.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + -3 + -4)*-2 + 0.\nAnswer: -2*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -790 or -3.84786?\nAnswer: -3.84786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3*2\/3. Let y = -2 + v. Solve -a = -y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1823518 is divided by 162.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 87\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 2*m**3 + 14\/5*m**5 + 2*m**2 + 1 - 6*m**4 + 0*m. Factor w(i).\nAnswer: 2*i*(i - 1)**2*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b + 10. Let s(y) = -y + 1. Let o(g) = q(g) - 5*s(g). What is the first derivative of o(v) wrt v?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*k - 65992 = 65*k - 258*k. Solve -223*n + k*n = -21 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.059, 1, -0.26, 2\/21, 20, 10?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147 + 279. Let p = w - 127. Solve -p*d = -10*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 28. Let m be c(11). Sort 1, 2, m in increasing order.\nAnswer: 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 24450*m + 8589645.\nAnswer: 5*(m - 4509)*(m - 381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50904\/(-505) - -104 - -4.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 15*u + 78 = 0, 2*v - v + 3*v + 23 - 39 = -4*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 - -9. Let p be (-2)\/2 - 430\/(-2 + -3). Let q = g - p. Calculate the least common multiple of 19 and q.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 16*q**2 + 4*q**2 - q**3 - 323 + 346 + 20*q. Let n be k(21). Which is the second smallest value? (a) n (b) 3 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.204804 to three decimal places.\nAnswer: -0.205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/671 + -28861\/5368. Find the common denominator of -107\/56 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -151*j**2 + j + 51. Let k(g) = -151*g**2 + 5*g + 52. Let r(l) = -5*a(l) + 4*k(l). Is r(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87720500 rounded to the nearest 1000000?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngdegfdndddffdldlln. Give prob of sequence efdg.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10137 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 393335*c - 15. Let w be z(9). Suppose 3*u = -0*u - w. What is u rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 3\/23 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/702690 and -95\/168.\nAnswer: 19675320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10}. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 3*g, 4*z + 4*g + 3 + 5 = 0. Suppose -y = -3*b + 222, z*b = y + 102 + 45. Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1140 or -67224\/59?\nAnswer: -1140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 2 o when four letters picked without replacement from {v: 1, r: 1, o: 6, f: 1, z: 1, d: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -8. Suppose -3*c - 4*p = 0, 0 + 4 = -2*c - n*p. Solve 12 = -c*s, 4*s + 13 = u - s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p + 4. Suppose -36 = -2*m - 0*m. Let y = -9 + m. List the prime factors of j(y).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-5)\/(-80))\/(458\/(-916)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/((-4)\/20). Let g(w) be the third derivative of 0 + 0*w - w**2 - 1\/24*w**4 + 1\/6*w**3. Give g(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*r - 40, 4*r + 8 - 50 = -3*v. Let k be ((18\/(-10))\/(-1))\/(r\/200). Let u = -13 - -19. Calculate the greatest common factor of k and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -95.6. Let x(s) = s**3 - 12*s**2 + 2*s + 1. Let q be x(7). Let u = q - -2528\/11. What is the smallest value in u, 0, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16897, -16890, -16879, -16864, -16845, -16822, -16795?\n\"Answer: 2*g**2 + g - 16900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*p*p*((p\/(p*((p\/p**(1\/4))\/p)\/p))\/p)\/p)\/p)\/p)\/(p\/p**(3\/2))*(p**(1\/4))**(-5))\/(p**(-3\/2)\/p*(p**(-6)*p)\/p*p)**45 assuming p is positive.\nAnswer: p**338","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2*n*n**(1\/6))\/(n\/(n**(-2\/5)*n)*n**(3\/5)))**20 assuming n is positive.\nAnswer: n**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 170\/765 - (-1616)\/18. Calculate the highest common divisor of z and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426414881?\nAnswer: 426414881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28476 or -28477?\nAnswer: -28477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxhxxxxxxxxhh.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 + 23 = -d, 2*d + o + 2 = 0. Solve 5*x = -d - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 15*h + 3. Let z be g(15). Suppose -5*a - 39 - 60 = -z*p, 96 = -5*a + 2*p. Is 622\/8 - a\/(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 68.\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 m when four letters picked without replacement from {e: 11, m: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 267958\/40 + 4\/5. Let m = u + -562525\/84. Calculate the common denominator of m and -32\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2019, 2358, 2699, 3042, 3387?\n\"Answer: q**2 + 336*q + 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 678 = 2. Suppose 1 = 10*o - i. Calculate the remainder when 184 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000031986 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let m be (-6)\/2 - 58\/(-5). Let k = m + -8. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 0 - (12 + (-7)\/(35\/(-145))).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(325)*-3 - sqrt(325)) + (sqrt(325) - (-4 + -3*sqrt(325) + sqrt(325))))**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in -1\/13, 1\/4, -0.5, 6, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124131745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, g: 1, h: 1, t: 1, b: 1}. What is prob of sequence bw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 42.\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*j + 76*j - 52. Suppose -2*t + j*t + 27 = v, 0 = -2*t - 2. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1617 and 0.13.\nAnswer: 1617.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 13. Let r(x) = -1. Let k(n) = -4*r(n) + w(n). Let a be k(9). Let y = a + 5. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -3, 65 in ascending order.\nAnswer: -3, 1, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*t - 9 + 15, t - 4*j - 11 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -121 and 297512809?\nAnswer: 297512930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**4)*f)\/f**(-1\/3)*(f\/f**0)**39 assuming f is positive.\nAnswer: f**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 30. Let q be 18*(t\/6 - 2). Do q and 9 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*w**3 - 142*w**3 - w**3)*(-2*w + 2 - 2) to the form g*w**4 + v*w**3 + u*w**2 + a*w + b and give g.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.5, -3\/2, -532.34, 7?\nAnswer: -532.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -10. Suppose -w*x - 60 = -9*x. What are the prime factors of 4\/x*0 - -18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:55 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5 - 6*r - 8*r**2 + 2*r - r**3 - 4*r. Is d(-7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393145491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61117\/9 - 6784. Find the common denominator of 73\/3 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21724 + -2.\nAnswer: 21722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3690 >= -3687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7606152.\nAnswer: 2, 3, 149, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-7)\/(-126)). Suppose -10 = -3*m - 0*m + l, -5*m - 3*l + c = 0. Solve -m*b = -3 - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.45 or -10093?\nAnswer: 3.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -74*y**2 + 9038*y. Let k(p) = 3*p. Calculate g(k(r)).\nAnswer: -666*r**2 + 27114*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90965 divided by -18193.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 7.8?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12250 and 3150?\nAnswer: 110250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30, 0.5, -2, 1\/13, 8.3, -3 in decreasing order.\nAnswer: 8.3, 4, 0.5, 1\/13, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + -4 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 11404430?\nAnswer: -11410002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 114506?\nAnswer: -114546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 83*y**2 - 5*y + 3. Let h(g) = g**2 + g - 1. Let r(d) = 6*h(d) + v(d). What is the second derivative of r(m) wrt m?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8476 - -8480. Let h = -10.1 + 9. Is f at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -217 * -12.\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4009, -16401, -37053, -65965, -103137, -148569, -202261?\nAnswer: -264213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + h + 12 = 0, -2*h - 18 = -6*s - 0*h. Solve 7 + 2 = -s*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 2*y**2 - 28*y + 65. Let u be r(5). Solve u = 60*p - 78 - 222 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**2. Let i(c) = c - 4*c - 3 + 14 - 13 + 10*c. What is y(i(o))?\nAnswer: 392*o**2 - 224*o + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2192 and -85\/2466?\nAnswer: 19728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.4 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -76461984724719 and 1?\nAnswer: 76461984724720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 8:37 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**2 + 1498*o**3 + 4*o - 3*o**2 - 4*o - o + 12*o**2 in the form x*o**2 + w*o + d + m*o**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20332303 (base 6) in base 7?\nAnswer: -4665132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(4\/(26 - 2)). Let i be (-266)\/2 - (1 - (2 + k)). Let l = -65 - i. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.56 (b) -3\/4 (c) 1\/50 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.5 - -1.5. Let j = 9.904 + 0.096. Let u = y - j. What is the nearest to -0.2 in 5, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-15) - (4 + 44\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 24*i + 1\/3*i**3 + 0 + 0*i**2. Let p(y) = 6*y - 4 + 4. Determine -3*p(h) + 8*q(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {l: 2, d: 1, k: 6, y: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0288091379 rounded to 5 decimal places?\nAnswer: -0.02881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t + 0*q = -7*q + 8*q + 66, 4*q = -5*t + 81 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/14 and 57\/56072?\nAnswer: 392504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5512 and 1060.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 210777.907 - 210874. Let o = 96 + y. What is o rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let p = h - -4. Suppose 3*s - p = 8. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*c**2\/3 + 157*c.\nAnswer: -c*(17*c - 471)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/1675 and 43\/78650965?\nAnswer: 393254825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -166. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10486734?\nAnswer: 2, 3, 41, 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202222010 - 12?\nAnswer: -1202222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 602.1*30\nAnswer: 18063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2198?\nAnswer: 24178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) -228 (c) 0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**4*x + 7502957*g**2*x - 5*g*x + 313003578*x with respect to g.\nAnswer: -4*g**3*x + 15005914*g*x - 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 181055 - 181055 + 10088*n + 1482*n as f + p*n and give p.\nAnswer: 11570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (-238)\/85*220\/2. Which is greater: m or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - n**3 + 9*n - 21*n + 5*n**3 - 12*n.\nAnswer: 4*n*(n - 3)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 6*q**2 + q + 23. Let s be l(-6). Find the first derivative of 39 - 20 - 9*r**4 - 4*r + 25 + s wrt r.\nAnswer: -36*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z**2 + 4*z**2 - 2*z**2)*(0 + 2 - 3) + 249*z**2 - 51*z**2 + 50*z**2 + (0*z - 20*z - 13*z)*(-5*z + 3*z + 0*z) as k*z + s + c*z**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztj when three letters picked without replacement from {t: 1, j: 3, z: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2514 + -1200?\nAnswer: -4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5416*u + 7. Let j(y) = -71*y + 1. What is j(h(q))?\nAnswer: 384536*q - 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -422, -1715, -3874, -6893, -10766, -15487, -21050, -27449?\n\"Answer: r**3 - 439*r**2 + 17*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840*j - 19516 = 812*j. Which is smaller: 696 or j?\nAnswer: 696","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-12))\/(-4*3\/(-8))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3006)\/502 - (-98 + 92). Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 928\/696*10\/(-16).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3312104 (base 6) in base 13?\nAnswer: -5a193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3299394 to the power of 1\/2, to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 1985\nAnswer: 29775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18267958 to the power of 1\/2, to the nearest integer?\nAnswer: 4274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 54663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2070053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -24*l - 1. Let g = 0 - 6. Let h be r(g). Suppose -4*d = -0*x - 3*x + h, -50 = -x - d. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*b + b - 42 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6791\/5 > -1358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201a02 (base 12) to base 8.\nAnswer: 1722142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97200 and 297621.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 2*m**2 + 2*m**2 + (-2 + m + 2)*(2040*m - 1007*m + 290*m + 873*m + 1673*m) to the form d*m + k + t*m**2 and give t.\nAnswer: 3870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 - 5. Let p = 1 + -2. Let t = 0.2 + 1.8. What is the nearest to t in q, p, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5605 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85987269 to the power of 1\/2, to the nearest integer?\nAnswer: 9273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -12. Let r be 8\/3 - 6250\/1500. Which is the third smallest value? (a) r (b) y (c) 0 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/6 + 2*m**2 + 63*m + 37. Let d(p) be the first derivative of k(p). Determine d(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -5*h**4 - 1675*h**3 - 11535*h**2 - 18065*h - 8200 = 0.\nAnswer: -328, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68872 is divided by 1193.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/41, 50, 1 in ascending order.\nAnswer: -4, 3\/41, 1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -20. Suppose a*z - 16*z + 100 = 0. Let v = -68 - -141. Calculate the remainder when v is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226967 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 39695 at most as big as 357266\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 897985.\nAnswer: -2\/897985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.646004 - -16?\nAnswer: 14.353996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 378511191 - 4?\nAnswer: 378511188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*l - 1 + (3 - 3 + 3)*(0*l - 5*l + l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*y - 2*p + 3*p, 3*y = -2*p + 20. Solve 5 = 2*w + 3*s, y*s - 29 = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, h: 1, x: 2, g: 1}. Give prob of sequence hrg.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46721*n**4 - 62*n**3 + 12*n**2 + 207*n + 1.\nAnswer: 1121304*n - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -4 (b) -3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, l: 1, m: 2}. What is prob of sequence luh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlqqzl. What is prob of sequence qql?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42185980 and 37984.\nAnswer: 337487840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 4 - -2 - -52 - -31\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.849366 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2115142 + -4115?\nAnswer: -2123301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 + 11. Let i(z) = -3*z**2 - 5. Let p = 34 + -7. Let n be (6\/2)\/(p\/18). Calculate n*b(w) + 5*i(w).\nAnswer: -w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/9 - 0) + (-2)\/(-5)*(-1390)\/(-278)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a factor of 226256503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.71 - 24.01. What is the second smallest value in 7, -4, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -113, -228, -367, -518, -669, -808, -923?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -25\/4*m**3 - 11 - 3\/4*m - 15\/4*m**2. Let d(p) = 0. Calculate p.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 3*i - 3*i)*(-i - 21*i - 3*i) + 2*i**2 - 2 + 2 + 0*i**2 - 5*i**2 - 7*i**2 to j + g*i**2 + o*i and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5278 - -5281. What is the nearest to -2\/5 in 0.01, 5, 9, z?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(891)*1 - (1 + sqrt(891) + 3))**2 - (-2 + -1*sqrt(99) + -5 + sqrt(99)).\nAnswer: 360*sqrt(11) + 22298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.43794ug in milligrams?\nAnswer: 0.01243794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from araaaaaaarraatarrrr. What is prob of sequence aar?\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*(sqrt(5) + 1)**2 - 4*sqrt(30)\/sqrt(6)).\nAnswer: -8*sqrt(5) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*t + 25 = 0, -3*t + 0 = 3*f + 9. Let z be 1\/(f + 39\/9). What is the biggest value in 2\/13, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*p**3*u**2 + 52*p**3 + 1119*p*u**3 - 8565*p with respect to u.\nAnswer: -152*p**3*u + 3357*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 12:57 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 2056 - 6\/12*-8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cazul. What is prob of picking 1 c and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-1)\/(0 - 1). Suppose 4*c = -16 + 32. Suppose 4*j + n*m = j + 310, m = -c*j + 422. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 4*y**2 - 8*y - 4. Let z be v(-5). Suppose 9*g + 202 = z*g. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 1 v when three letters picked without replacement from vsuffhvhvffvufvsskf?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1220 in 30, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let x(a) = 8*a**2 - 6*a + 1. Let d(c) = -6*w(c) - x(c). Determine d(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 31. Let p = -7 - -7.5. Let j = 1.5 - p. Put j, 0.3, o in ascending order.\nAnswer: 0.3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 divided by 34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650*h - 1620*h + 112 = -4*f, -4*f - 61 = -2*h + f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4998 divide 85265880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 406?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Suppose 0 = -r - 2*f + f + 43, t*f = 2*r - 70. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9. Let g = 6 - h. Suppose 0 = -5*j + 3*j. Sort -0.1, g, j in descending order.\nAnswer: g, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**3 + 4251*a**2 - 4489992*a - 59090512 = 0.\nAnswer: -13, 2132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339054.\nAnswer: 2, 3, 56509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 9. Suppose -2*z = -3*w + 625, -a*w - 3*z + 822 = -3*w. What is the highest common factor of w and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3) + 0 + 12 - (-1350)\/(-90).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 41, 43, 45, 47?\n\"Answer: 2*z + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(3 - (-3 + 5)). Suppose -2*g - 2 + 68 = z. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 0*h)*(1 + 1 - 4) + h - 4*h + 2*h + 2*h - 3*h - h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 11102332033?\nAnswer: 11102332033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -5.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328836?\nAnswer: 2, 71, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/2 (c) 21 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2827 times 1078\nAnswer: -3047506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(700) - (-1 + (sqrt(700) - -2*sqrt(700)))) - (3*sqrt(700)*1 + sqrt(700))*3)*-6)**2.\nAnswer: -10080*sqrt(7) + 4939236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*m + 7, 0*b + 12 = 3*m - b. Suppose 3*q - 21 = -4*q. Suppose -3*f - 4 = 4*h - 0*f, 0 = -3*h - 4*f - q. Put m, -9, h in ascending order.\nAnswer: -9, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5674620 and -5674586 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from yglolllk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 11 = -4. Let q(t) = t**2 - 5*t - 5. Let h be q(f). What are the prime factors of ((-2)\/(-3))\/(3\/h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22580 less than -22580?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -311, -308, -303, -296, -287?\n\"Answer: x**2 - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t)**(3\/14)\/(t*t**24\/t*t\/((((t\/t**(-2\/9))\/t*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-1516\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 17*v**2 - 195*v - 125. Determine i(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759470885?\nAnswer: 5, 47, 3231791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-15) + 1 + (-28)\/10. Does 14 divide (-1545)\/(-30) + (r - (-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1127283763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10*25\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -410*n + 31. Let k(u) = -7788*u + 588. Let a(c) = 96*f(c) - 5*k(c). Differentiate a(v) wrt v.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 21572?\nAnswer: -21574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 304776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 + 40 = 0. Let j be (6\/(-27)*3)\/(q\/(-21)). Is 3 a factor of (j - -16 - 3) + 3 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*3\/18*712\/712\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-17)\/((-714)\/(-36)))\/((-3)\/14))\/62. Let p = -4 - 1. Which is the closest to 0? (a) x (b) -3\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1\/u)**(-2)\/(u*u**(1\/2)\/u)**(1\/2))\/((u\/(u*u**(-1\/3)))**(-26))**(8\/3) assuming u is positive.\nAnswer: u**(751\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 195*k**4 + 4742*k**3 - 4742*k**3 + 3*k**4 + k**4 - 2*k**4 + (0*k**2 + 0*k**2 + 2*k**3)*(-k + 2*k - 3*k).\nAnswer: 193*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 6. Let l(o) = 3*o + 5. Let w(m) = -4*c(m) + 3*l(m). Let s be w(11). Let n(d) = -2*d - s*d + 5*d. Determine n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/4 - d**3\/3 - d**2\/2 - 7*d + 96. Calculate m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*h*n + 265478*a**2*h*n + 2*a*h*n - 3*a*n + 7*h - 2412*n - 1 wrt a.\nAnswer: -18*a*h*n + 530956*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4597.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3387.\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -18, -117, -268, -477, -750, -1093, -1512?\nAnswer: -2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:16 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 757, 1511, 2263, 3013, 3761, 4507, 5251?\nAnswer: 5993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(209) + sqrt(209)*-2)*4 + sqrt(209))\/sqrt(11).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -328464 divided by 109488\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3568 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 379891 and 966?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 4529.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40143006 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3422*c - 3461*c = -117, 2*x + 4*c = 34 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 40, 62, 92, 130?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + 1 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 f, and 1 b when four letters picked without replacement from fbfxfxbfx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 1. Let y be p(1). Suppose -4*z - 21 = 2*s - 5, 5*s = 0. Let k(j) = -4*j**2 + 4*j + 7. Let b(i) = 3*i**2 - 3*i - 6. What is y*b(h) + z*k(h)?\nAnswer: h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24803 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/2 - 95*v**2\/2 + 1451*v\/2 - 473\/2.\nAnswer: -(v - 11)*(v + 43)*(3*v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*x**2 - 173*x**2 + 355*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2112023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**3\/5 - 216*m**2\/5 + 15552*m\/5 + 421. Factor n(p).\nAnswer: 3*(p - 72)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 121 - 76. Suppose 13 = 2*v + 2*p - 3*p, -p - b = 0. Suppose -t - 4*t + 145 = 0. Solve -3*r - v*d = d - t, -2*r - 14 = -5*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -726 = -52*c - 28*c - 71*c + 29. Let s = -4 + -6. Let q be (-4)\/10 - 64\/s. Which is smaller: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960087545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*u*v*x - 7441*u*v + 6389*u*x + 12*u + 7*v*x + 123*x wrt v?\nAnswer: -64*u*x - 7441*u + 7*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22021222 (base 3) to base 8.\nAnswer: 13637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 6*s**2 + 0*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 4 - 1)\/1. Let n = -2 + 18. Suppose -r = -4*u + 8*u - 52, -4*r = -n. What is the greatest common factor of g and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 207 = 347. Let u(v) = 65*v**2 + 35*v - 35. Let p(o) = -11*o**2 - 6*o + 6. What is c*p(x) + 6*u(x)?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 2*y + 2. Let l be p(2). Let x = -0.9 + 1. Let z = 2\/13 + -27\/91. Which is the nearest to x? (a) l (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2766 + 4.2766. Put -1\/4, 0.3, 37, u in increasing order.\nAnswer: -1\/4, 0.3, u, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2904 and 216392.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*b - 116*b + 163*b - 95*b**2 + 2.\nAnswer: -95*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 + 30 = -8*h. Let l = h - -32. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9)*1 + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272186\/145 at most as big as 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1521 in 1, 206, 0.2?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -1313454?\nAnswer: -1313505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 708?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.1607 to one decimal place.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11027329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*y + 6, -4*y = 4*j - 7*j + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 26239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:45 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (430*q + 128*q - 287*q)*(-2*q**3 + q**3 + 6*q**3)*(q + q - q).\nAnswer: 1355*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3744 and 18.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148821166*l**3*y**3 - 2*l**3*y - 2*l**3 - 14*l**2*y + 2*l*y - 20*l + 1 wrt y?\nAnswer: 892926996*l**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4066135253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:22 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = -52. Let c(p) = -p**2. Let j(n) = 5*n**2 + 7*n - 2. Let i(z) = -4*c(z) - j(z). Calculate i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*z + 3 + 2, -2*j - z - 54 = 0. Let w = 44 + j. What is the greatest common divisor of 171 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612108?\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and -3.01.\nAnswer: -8.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*i**3 + 70*i**3 + 185 + 37 + 142*i**3 + 0 wrt i.\nAnswer: 687*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3973\/4 or -994?\nAnswer: -3973\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120b307 (base 13) to base 5.\nAnswer: -2413002301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57766, 57762, 57756, 57748?\nAnswer: 57738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 39*h - 28. Let c(j) = -45*j + 25. Determine 5*c(q) + 6*p(q).\nAnswer: 9*q - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4, -5 in decreasing order.\nAnswer: 4, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29425778 by 59.\nAnswer: -498742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 172 + 18*n - 165 - 163 - 123 + 629.\nAnswer: 15*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697 = -274*m + 111*m - 5149 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 + k + 11. Let z(s) = 34*s**2 - 6*s - 54. Let h(t) = -14*p(t) - 3*z(t). Find v, given that h(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 11*r + 32. Let b(n) = n - 5. What is the remainder when q(10) is divided by b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**(-4))\/m*m*m))**(2\/7))**(-2\/41)\/(m*m\/(m\/(m*m\/(m*m*m**(-3\/2)\/m)))*m**(-2\/19)*m**(9\/4)*m\/m**2) assuming m is positive.\nAnswer: m**(-102527\/21812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -30, -30, -32, -36?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1052057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 582?\nAnswer: -116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3\/3 - 12*v - 7. Calculate y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.4743397 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4388 = 2*r + 5*t - 256, 5*t + 4604 = 2*r. What is the least common multiple of r and 6?\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooqqoooo. What is prob of picking 2 q and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Suppose j*a = 20, 5*v - 2*v - 5*a - 152 = 0. Suppose -5*n + 283 = -3*f, -n = -f - 2*f - v. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544 = -780*c + 796 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583060655 a multiple of 3042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22027893 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, -9, 0.2, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7cd - -59?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490471.\nAnswer: 313, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 3 = 0. Suppose -4*j + 0 = 3*b - 2, -8 = -j + l*b. Factor -4\/3*o**j - 2\/3 - 2*o.\nAnswer: -2*(o + 1)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (sqrt(65) - (sqrt(65) + sqrt(65)*-2*-2 + sqrt(65))))\/(sqrt(405)*2).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.826 - 0.426. What is the third smallest value in -2\/3, -0.1, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 21419*b + 24467*b)*((-4*b + 4*b + b)*(2 - 3 - 1) + 2*b + 2*b - 3*b + 2*b + 0*b - 3*b) as u + t*b + p*b**2 and give p.\nAnswer: -6096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p + 2. Let y(t) = 15*t - 3487. Give n(c) + y(c).\nAnswer: 2*c - 3485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39 and -23028.\nAnswer: -22989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 35. Determine y(0).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 3*v**2 - 2*v + 3. Let n be u(2). Let s(z) = -n + 19 - 4*z. Let q(o) be the first derivative of -o**2\/2 + 1. What is s(q(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -254435176 - 3?\nAnswer: -254435201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*r - 2*r - 52, -2*s - 4*r = -98. Let b = 53 + s. Let i = 98 - 86. Calculate the greatest common factor of b and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 4 (c) 0.1 (d) -0.2 (e) -0.1 (f) -37 (g) -43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 68\/(-20) + (4 - (-36)\/(-10)). Let s be ((-36)\/14)\/((-18)\/(-252)). Let g = -37 - s. Put g, o, -8 in descending order.\nAnswer: g, o, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1271 - -0.020180401.\nAnswer: 1271.020180401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (485485\/582)\/91*6\/1?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 15) to base 3\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90242?\nAnswer: 2, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and -59\/13020?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.5 - 20.9. What is the third smallest value in n, -15, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:42 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27903 is divided by 13946.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 + 1537*t - 1500*t + (0 + 2 - 1)*(-t + 5*t - 2*t).\nAnswer: 39*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*d = -108, -5*d = -52*m + 56*m - 96. Solve 0 = -32*t + m*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429857 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -32. Suppose -35 = -6*u + 1. Calculate the remainder when m is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -3 (b) 0.3 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = 8. Let k be 18\/8 - w\/12. Suppose 3*v + 4 = v + 4*m, -k*v - 3*m = -10. Solve -6 = -t - v*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11995.73 rounded to the nearest ten?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -81.4. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 488*n + 0 + 2866*n + 1434*n.\nAnswer: 4788*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1377) - (3 + sqrt(1377)))**2*-6*2*-3*-3*3*-2.\nAnswer: -5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*o + 9303 - 51432 = 0. Calculate the greatest common factor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314402, 1257626, 2829668, 5030528?\nAnswer: 7860206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -570\/221 + 32\/13. Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3 + 3)*(0*b + 2*b + b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72) + sqrt(72) + (sqrt(72) + sqrt(72) + -2 - sqrt(72)) + -1 + 0 + -2*sqrt(72))**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -45?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. Let t = 8 + k. Suppose -3*g = -20 + t. Solve -g*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -2b8dd84?\nAnswer: -2b8dd86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 34. Let g be i(-17). Let j = -15 - g. Is 11 a factor of ((-105)\/(-75))\/(j\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 9*c - 2. Let w(u) = -3 + 0*u - 6*u + 2*u**2 + 2 + 10*u. Calculate 3*l(t) - 7*w(t).\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**9\/126 - b**6\/24 + 29*b**5\/60 - b**4\/12 + 212*b**2. Find the third derivative of s(g) wrt g.\nAnswer: -480*g**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 621 - -41. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*x + 159*x - 302*x - 77*x.\nAnswer: -544*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 88, 151, 234, 343, 484, 663, 886?\n\"Answer: k**3 + k**2 + 39*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*-1*160\/200. Calculate the smallest common multiple of (1 + 9 + w)\/(-4 - -5) and (1 + (-1)\/2)*24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 5*o**2 - 19*o + 17. What is l(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1738852, 1738846, 1738840, 1738834, 1738828?\n\"Answer: -6*w + 1738858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 3*f + 548047 - 274016 - 274031.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 147, 2, -1 in increasing order.\nAnswer: -11, -3, -1, 2, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(-78)\/4. Let z = -10 + d. Let k be ((-45)\/(-6) - z)*4. What is the highest common divisor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 + 0*g**2 + 4*g**2. Let p(k) = -3*k - 17. Calculate p(f(r)).\nAnswer: 3*r**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85077 = 13*u + 14*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2254 + -20288\/9. Which is the nearest to -7? (a) -0.2 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v + 24*v + 192 = 62*v. Solve 0 = b - v + 36 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**6\/18 + 5*t**5\/24 + 5*t**4\/24 + t**3\/2 + 33*t. Let u(k) be the second derivative of n(k). Solve u(q) = 0 for q.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/8)*i**(-3)*(i**(-1\/12)*i*i)**(2\/45))**(-27\/5) assuming i is positive.\nAnswer: i**(4093\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -6. Is 3*(-3)\/(-9) - p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*i = 72 + 32, 15 = 3*i. What is x rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, g: 4, k: 3}. What is prob of picking 1 g and 2 s?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {q: 1, c: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -493, -739, -985, -1231?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*a - 3*l - 28, a + 6 = -3*l. Suppose s = a*s - 30. Suppose 10763*t + 62 = 10794*t. Solve -s - 4 = -t*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 19*n**2 + 20*n + 14. Let v be l(20). Let y be (-1534)\/(-320) - (v + -10). Let r = 1\/160 + y. What is the common denominator of -51\/50 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(4*n**2 - 4 + 4)*(-2*n + 8*n - 5*n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 18 = -12*j. Suppose 158 = j*h - i, 0 = 5*h - 3*i - 211 - 55. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 305100.9768 to the nearest 1000.\nAnswer: 305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.81 + 10.8. Let y = -0.005 - 0.245. Let u = y + v. What is u rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 486*j**3 - 7353*j**2 + 6864*j.\nAnswer: 3*j*(j - 13)*(j - 1)*(j + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26959783?\nAnswer: 26959783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 27*k**2 - k**4 - 17 + 21*k**2 + 4*k**3 as h*k**2 + n + v*k**4 + w*k**3 + p*k and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/14 and 1\/6746936.\nAnswer: 6746936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 27*w**2 + 6*w + 7. Let c(h) = -26*h**2 - 5*h - 6. Let r be 4 + (-1 - -3) - (21 + -21). Determine r*c(m) + 5*g(m).\nAnswer: -21*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 3\/25, 37, 11\/2, 22, -2\/9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11))**(-27) assuming b is positive.\nAnswer: b**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15133*q**3*x**2 + 29675*q**3 + 2*x**3 wrt x?\nAnswer: 30266*q**3*x + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001602868 to seven decimal places.\nAnswer: -0.0001603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11848792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m - 10. Let b be ((-1)\/3)\/((-9)\/(-81)). Let j be n(b). Suppose 3*y + 8 + 19 = h, -235 = -5*h - j*y. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(539))*-5 + (0 + sqrt(539))*-3 + 5)*-3 + 3)**2.\nAnswer: -9072*sqrt(11) + 311193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4*a - 5*c, 61*a = 65*a - 4*c - 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43\/6 in 3\/2, 12, 0, 1\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33795188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/165424 and -1\/378770.\nAnswer: 639363760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 525 and -3.84742193?\nAnswer: 528.84742193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 7, -750 in descending order.\nAnswer: 7, -51, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3506, 3513, 3520, 3527, 3534, 3541?\nAnswer: 3548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-1365)*(-12)\/(-14).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q - 6. Let i(j) = -3*j**2. Calculate u(i(o)).\nAnswer: -33*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)*(-1 - -2). Let h be (-2*1)\/(k\/(-6)). Let q be 2\/(-12) + 2\/h. Which is the second smallest value? (a) 1 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = u + 24, -37 = -0*q - 5*q + 3*u. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - t + 1. Let z be a(1). Suppose 18 - 2 = -4*v, s + 27 = -5*v. Let l = z - s. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -377, -14, 3 in increasing order.\nAnswer: -377, -14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 2*b - 3*b - 10 + 5 - b + 2*b + (3*b - 3*b + 2*b)*(-4 - 1 + 4) in the form f + y*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -59*h**3 + h. Let j be k(1). Let a = j - -84. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10770, -42405, -95130, -168945, -263850, -379845?\n\"Answer: -10545*r**2 - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2309*j**3 - 1601*j**3 - 4852*j**3 - 4567*j**3 + 1203*j**3.\nAnswer: -7508*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37971, -38304, -38645, -39000, -39375, -39776?\nAnswer: -40209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23370196 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 8, 0*g + 400 = 3*g - 5*u. Suppose 0 = -0*s + 10*s - 260. Suppose 0 = 3*z - 58 - s. What is the highest common factor of z and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -385, -1847, -4239, -7561, -11813, -16995, -23107?\n\"Answer: -465*r**2 - 67*r + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 585585, 1171258, 1756931, 2342604, 2928277, 3513950?\n\"Answer: 585673*o - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*g - 34, -5*g - 5*m + 24 = -8 + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:50 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9590 - -9602. Which is the closest to 467? (a) 0.1 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-8)\/528*(-3)\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(8\/3)*i*i**(-31))\/((i*i**18)\/(i**(-1\/34)\/i)))**(-10) assuming i is positive.\nAnswer: i**(24155\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwfbbwrvrvvbbrbbvwr. Give prob of sequence bwr.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p**2 - 7*p + 7. Let o(g) = -5 + 3 - g**2 + 2*g + 0*g**2 + 4*g**2. What is -4*j(i) - 14*o(i)?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 635 = -596 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/21 - -2\/21. Let o = 3.3 - 0.3. Which is the closest to j? (a) -2 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from yvyvyoyyyyyyyoyyyyvy.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19657364?\nAnswer: 2, 23, 43, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 45?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w - 1469*w**3 - 28*w**2 + 1469*w**3 + 2 + 94*w**4 to y*w**3 + r*w**4 + b + a*w + j*w**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 - 18 - 8 - 5 + 31.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, k: 7, w: 1}. Give prob of sequence pkw.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 18 (b) -2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 7*d**2 - 5*d + 12. What is f(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/56 + 132\/(-252).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44939827 to the power of 1\/2, to the nearest integer?\nAnswer: 6704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.3 + 5.3. Which is the third smallest value? (a) 2\/3 (b) u (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let z(x) = 5*x - 2. Let c(j) = -52*j + 6. Let k(d) = 30*d - 3. Let o(q) = 3*c(q) + 5*k(q). Calculate y*o(p) - 3*z(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 980 * -0.143877.\nAnswer: -140.99946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 58*a - 63*a - 339, 4*c = 5*a + 447. Let r be (-1 - 22)*(-27)\/(c\/(-8)). Which is smaller: r or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**6 - 2180140*d**5 + 4103570*d**2.\nAnswer: -360*d**3 - 130808400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 35\/2556303 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -230\/7, -91?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39955 divided by 5?\nAnswer: -7991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/29049 and 125\/32838.\nAnswer: 755274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l = -3*i + 42, -2*i - 5*l + 63 = 0. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050581 rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:23 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5.678328 months?\nAnswer: 0.00473194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*-1) + -1*sqrt(3) + sqrt(3) + 1 + -3*(sqrt(12)\/sqrt(4) + sqrt(3)) + sqrt(3) + sqrt(48)*5 + 2)**2.\nAnswer: 84*sqrt(3) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*z - 21. Let f = 7 - 10. Let c = f - -1. Which is bigger: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -998\/3 - -2921\/9. Calculate the common denominator of r and -44\/129.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12 - -2)*(-27)\/90. Suppose -2*n - 12 = n. Let c(o) = o**2 + 4*o + 3. Let q be c(n). Solve -2*a + 6 = a - q*v, 4*a - m*v - 11 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 477364.8 months?\nAnswer: 39.7804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1137653698 + -86.\nAnswer: 1137653612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)\/w*w)**20\/(w\/(w\/((w**(2\/19)\/w)\/w))*w*w\/(w*w**(2\/7))))\/((w*w**4)\/w**1*(w**(-2\/7))**(1\/17)) assuming w is positive.\nAnswer: w**(16273\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -1164\/7. Let a = 1.91 + 0.09. Let g = a + -2.4. What is the biggest value in m, -4, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 449 = 5*n, -2*t + 382 + 91 = 5*n. List the prime factors of n.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 2.5. Suppose -101*y + 24*y + 154 = 0. Which is the closest to y? (a) 0.4 (b) -0.37 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 138637 + -1586?\nAnswer: 137051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*-1261.2723\nAnswer: 2648.67183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2 + 3*n - 24. Let i(s) = 2*s**2 - 2*s + 23. Let g(t) = 6*i(t) + 5*x(t). Find j, given that g(j) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 630888466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*2 + sqrt(77))\/(sqrt(88)\/(sqrt(8)*2)).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2723*p**2*x**2 + 3*p**2 + 686*p*x wrt x?\nAnswer: 5446*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 - -3 - -6). Suppose 0 = -4*b + u - 6*u + 16, 3*b - 12 = -4*u. Let o(d) = d**3 + 0*d - 12 - d + n - b*d**2. What is o(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:35 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 30 = 42. Suppose 16 + h = 2*g - 4*s, 4*g = 5*s + 53. What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1798*t - 13347 + 13347 + 1778*t.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170.07 - 140.07. Is -1 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -17*x**2 + 22404*x - 7474*x - 7472*x - 7463*x. Let o(i) = -33*i**2 - 9*i. Give 11*b(q) - 6*o(q).\nAnswer: 11*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4794 divided by 1358.\nAnswer: -2397\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l - 88*l - 3*p - 3 = 0, 3*p = -15. Suppose 4*m + 3*c - 3547 = 5637, 4*m = l*c + 9156. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 21*h + 7*h.\nAnswer: 33*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 4:42 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2434, -2504, -2620, -2782, -2990, -3244, -3544?\n\"Answer: -23*d**2 - d - 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4472393 and 1433?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/54*2)\/((-29)\/(-174))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 7*q + 12. Let m = 4967 + -4965. What is b(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1020\/(-153))\/((-2)\/27). Suppose -8 = -4*k, -3*r - 2*k = -n - 7. What is the remainder when -1 - 2 - (-124 + -1) is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u + 620. What is the hundreds digit of t(28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 108.9720827 and 8776?\nAnswer: 8667.0279173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 + (-1120)\/90 + 5\/(-9). Let d be (-4)\/6 + 4\/3. Let z = 0.06 + -0.46. What is the closest to s in d, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-423)\/141 - (-1)\/(2\/726). Calculate the highest common factor of b and 336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2829 + -2830. Sort -23, k, 3, 1 in increasing order.\nAnswer: -23, k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33 + 21*r**3 - 33 + (-2*r + 0*r + 4*r)*(-7*r + 7*r - 2*r**2).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43833687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 155 = t, -5*t - 4*z = -2*z + 709. Let h be (89 + t)*4\/(-6). Suppose 2*v - 108 = -0*v. What is the greatest common divisor of h and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 0*r - 3*r**2 + 6*r + 3. Let h be v(6). Solve -7*l + 4*l = -h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 0)*(-14)\/21. Suppose 1 = -r*k - 11. Suppose 83*a = -128*a + 1055. Put a, 3, -12, k in descending order.\nAnswer: a, 3, k, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/15)\/((-108)\/(-2160)))\/((-1)\/4).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46410*x - 45813*x + 78804 for x.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 1. Let s(k) = -4*k - 2. Let c(d) = -2*s(d) + 3*x(d). Let u = 6 + -3. Suppose -2*h - 5 + u = 0. Let i(b) = -6*b + 3. Determine h*i(y) + 4*c(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/(h*((h**(2\/61)*h)\/h*h)\/h)))\/h*h**(-17\/3)\/h*h*h**21*h*h*h*h**(8\/9) assuming h is positive.\nAnswer: h**(10022\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/7643 and 37\/5174311.\nAnswer: 5174311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2806762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10449*q - 125448. Determine r(12).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**2 + 334*l + 453. Calculate g(57).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6292184689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 4 + 7)*(0*f**2 - f**2 + 0*f**2) - 6*f**2 + 6*f - 6*f + f**2 - 2*f**2 + 2*f**2 - 3*f**2 - f**2 + 3*f**2 as u*f + o + w*f**2 and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 50*o + 1583. Calculate y(-18).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -5*h - 105. Let w(g) = g - 3*g**2 + 7*g**2 - 4 + g**2 - 3*g. Let o be w(2). What is the highest common factor of o and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2448 and 544884.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-12)*6\/(-3). Suppose 12 = p*b - 13. What is the third derivative of -11*r**5 + 4*r**b - 21*r**2 + 62*r**2 - 17*r**5 wrt r?\nAnswer: -1440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 1 (c) -0.156\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/13, 43, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 3:03 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*o - 17*o + 3*o to the form i + g*o and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -127*n**2 - 26*n + 133. Let b be r(-1). Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-16) + 30\/8. Let l be -3 + q + 2 + -7. Let b(n) = -6*n - 1 + n + 4*n. Calculate b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 + 7*d**4\/24 + d**3\/3 - 3*d**2. What is the remainder when k(7) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*c - 189*c + 1136966. Calculate the remainder when c is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35455*z**4 - 11387 wrt z.\nAnswer: -141820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - (0\/1 - 4*(-45)\/30). Solve v*y = -5*d + 8*y + 12, -5*y - 5 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86095856 divided by -847?\nAnswer: -101648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3 = -18. Let k = 1.88 - -0.12. Let n = k + -6. What is the third smallest value in 3, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:46 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 23*j - 15*j. Sort j, 1, -2, 4 in decreasing order.\nAnswer: 4, 1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406066 is divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -478 + 2915\/6. Let q = 1072851\/4 - 269894. Let z = 1672 + q. What is the common denominator of z and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -24*m + 99. Let l be n(4). Let y(r) = 0*r**3 + 26 - r**l - 22 - 5*r**2 - 4*r + 2*r. What is y(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 + 5*n**2 + 4*n + 2. What is p(-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 4*i + 6, i = 38*t - 43*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*(-33)\/99*(-4)\/40.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {k: 7, n: 4, m: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.478562t?\nAnswer: 8478562000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddjjjd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*q + 4*h, -31 = -0*q + q - h. Let b(u) = -u**2 - 39*u - 13. Is b(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 15252?\nAnswer: 15222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60106 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 34 + 11 - 5)*(-5*l + 2*l + 2*l).\nAnswer: 2*l**2 + 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 3\/4 (b) -1 (c) -2 (d) 21 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -389, -1468, -3267, -5786, -9025?\n\"Answer: -360*z**2 + z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 4. Let b(u) = -u + 3. Let a = 42 + -46. Let p(f) = a*b(f) + 3*d(f). Let z(s) = 17*s. Give p(z(n)).\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 - 6)*(w + 3 - 3)*(-w**2 - 2*w + 2*w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 42. Let l(t) = 232 + 227 + 221 - 677. Determine 3*k(h) - 42*l(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p + p, -4*p = -v - 15. Suppose w + 2*c - 3*c - 9 = 0, 0 = -v*w + 3*c + 47. Calculate the remainder when 38 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -853, -1135, -1513, -1993, -2581?\n\"Answer: -t**3 - 42*t**2 - 149*t - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 2. Suppose a = 6*a. Suppose -16 - 4 = 10*f. Let u = f + a. Let w(g) = -7*g + 5. Give u*w(b) + 5*c(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10244 - 9894. What is the greatest common factor of l and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169660968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(1*sqrt(153) - sqrt(153)) + 6*sqrt(153)*1)\/((sqrt(108) - -3*(sqrt(108) - -2*sqrt(108) - sqrt(108) - sqrt(108)))\/sqrt(12))*-3.\nAnswer: -27*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 33. Determine j(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217*1*938\/67*3\/147.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (165\/(-44))\/((-35)\/14). What is the closest to -53 in -4, 2, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/5))**(21\/8))**24 assuming w is positive.\nAnswer: w**(441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 25*t**2 - 17*t. Let x(f) = 3*f**2 - 2*f. Let g = 1512 - 1461. Suppose 2*d = -0*d - 12. Give d*r(q) + g*x(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.25606 and -82.\nAnswer: -85.25606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = b - 88, -4*i + 2*b = -0*b - 176. Let a = 74 - i. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -16*b + 12*b + 281, -1359 = -5*s + 3*b. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-385))\/2*5915\/2535.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -410 and 9.6523.\nAnswer: -3957.443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 4 + -4 + 45804\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339298703 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuhfnqx. Give prob of picking 1 h and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2 + 18. Let a be (-12)\/(-16) - 13\/u. Solve 4*k + 0 = a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(1 + 83) - 0*(-1)\/(-4). What is the nearest to 4\/31 in t, -0.3, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*w. Let g = 3 + w. Solve v = -5*l - 1 + 15, -g*l + 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10459449 by 8127.\nAnswer: -1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z + 9. Suppose 0 = c - 6*c - 20. Let k(t) = -2*t - 5. Let x(p) = c*i(p) - 7*k(p). Is x(5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = v + 7, 4*v = 2*b + 3*v - 5. Suppose 0 = -b*a + 3*g - 14, -35 = 2*a + 3*a - 4*g. Is (-12)\/(-42) + (-1097)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 1. Let k(m) = 4*m + 2. Let r(p) = -3*k(p) + 6*w(p). Let v be (-2*(-1)\/2)\/(-1). Give r(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 2 + (3 - 1). Suppose k + x = -1. Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (4 + -4 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -737.8 - -853. Let l = m + -137. What is l rounded to 0 dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**4\/4 - 10*a**3\/3 + 6*a**2 + 12*a - 1. Let o be i(6). Solve -2 = -4*v + 2*h - o*h, 4 = v - 4*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1336, -2676, -4016?\n\"Answer: -1340*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -2. Let a = w - 18. Suppose 3*d = -a*l, l = 5*d - 4*l - 40. What is the remainder when 11 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 10\/(-26))\/(4*3\/48). Let z(p) be the first derivative of s*p - 2\/13*p**4 - 20 - 56\/13*p**2 - 62\/39*p**3. Factor z(m).\nAnswer: -2*(m + 4)**2*(4*m - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 51.92970325\nAnswer: 52.22970325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 15, 2 in increasing order.\nAnswer: -2, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002998219 rounded to 7 decimal places?\nAnswer: -0.0002998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-121)\/(-44) - 1\/(-4). Let s(n) = 6 - 7*n - 4*n**2 + n**m + 3*n - 1. Determine s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.28 - 0.28. Let m = 194 - 204.9. Let q = t + m. Which is the closest to q? (a) -1 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1039*l**3*q**2 + l**3*q + 12*l*q + 4*l wrt q.\nAnswer: -2078*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from hrrhfhfhfqhhfvx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.829655ns in seconds?\nAnswer: 0.000000003829655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14346 - 123?\nAnswer: 14223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/10 - 639*h**2\/5 + 2553*h\/10 - 638\/5 = 0?\nAnswer: 1, 1276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 389, 831, 1439, 2213, 3153, 4259?\nAnswer: 5531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 - h. Let z(m) = 8*m**3 + 12*m**2 + 5*m - 3. Calculate 5*l(d) + z(d).\nAnswer: 3*d**3 + 7*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2 = 5*x - 3*x, 0 = 3*x + 5*u - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.095888 + -0.3\nAnswer: -0.204112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from vtddtvdddvvddddd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)\/(a*a**(-2\/17)*a)*(a\/a**1)**(-47))\/(a\/a**(-3)*a*a**(6\/5)*(a**(2\/3)*a)\/a**(-1\/3)) assuming a is positive.\nAnswer: a**(-1452\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 5028.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e667 (base 15) to base 7.\nAnswer: 562366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**6\/1140 - a**5\/114 + a**4\/57 - a**2 - 18. Let r(p) be the second derivative of h(p). Suppose r(j) = 0. Calculate j.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208)*2 + sqrt(208))**2 - (-5 + -1 + sqrt(13))*2)*-3 + -5.\nAnswer: -28121 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 808734271 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 + 0 + (-342)\/45).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1053 + 13583 = 5*a. Suppose -4*f = -6*f + a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18033618 a multiple of 303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((2*sqrt(11)*-2 - sqrt(11) - sqrt(1331)*2)*-6)**2 - (-2 + (-6*sqrt(99)*2 + sqrt(99))\/(-4*(sqrt(144) + sqrt(9)))).\nAnswer: -1732102 - 11*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 15*q**2 - 10*q**2 + 0*q**2)*(7 - 7 - 10*q)*(q + 3*q - 3*q)*(-1 + 1 + 2) to w*q + b*q**2 + v + p*q**4 + m*q**3 and give p.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150884 and 68686.\nAnswer: 9203924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**5 + 0*t**5 + t**5 + (-1 + 4 + 0)*(5 - 5 + t**5).\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l**2 - 3. Let m(k) be the third derivative of 0*k + 0 + 0*k**4 + 22\/15*k**5 + 88*k**2 - 16\/3*k**3. What is -32*h(t) + 3*m(t)?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 394\/3, 1, -4.\nAnswer: -4, -3, 1, 6, 394\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - g - 8 = 38*q, -q + 7 = g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -153. Which is smaller: 47 or c?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55224 and 1201122?\nAnswer: 4804488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-63)\/84*2\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1254\/36 - (-1)\/6?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 4) in base 11?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207 + -216149.9195.\nAnswer: -215942.9195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 10. Let t(a) = a + 9. Let l(o) = 3*t(o) + 2*u(o). Let x be l(-8). List the prime factors of x - 1 - 168\/(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s. Let h be (-7)\/14 + 2\/4. Suppose -2*y + 10 = -h*y. Solve o - y + 0 = s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 77, -1887 in decreasing order.\nAnswer: 77, 9, -1887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39480685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 119 - (-20 + 45) - 117\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -917597 and 5.\nAnswer: -4587985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/6)\/(3\/6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 13.612471\nAnswer: -1.3612471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-344)\/215)\/(6\/(-15)). Solve -j*w = 16*w + 100 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92683, 184938, 277183, 369412, 461619, 553798, 645943?\n\"Answer: -s**3 + s**2 + 92259*s + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7877 - -7882. Which is the smallest value? (a) p (b) -5.4 (c) -0.2 (d) 0.5 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. Suppose f = -0*o + 4*o - 112. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:38 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.06, -213, 0.03, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 3) to base 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10*4)\/(20\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f. Suppose -y + 4 + 2 = 0. Let m(b) be the second derivative of b**4 - b**3 + 7*b - 133. What is y*o(w) - m(w)?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110252 (base 6) to base 4.\nAnswer: 2033120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3829?\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 + 762483*x\/4 + 10292427\/2.\nAnswer: 3*(x + 27)*(x + 254134)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(-2*s**3 + 4 + 206*s**2 - 105*s**2 - 85*s**2) to l*s + j*s**3 + z*s**2 + f and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*r + 78 - 78 to t*r + c and give t.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -96*c**2 - 8*c. Let h(b) = -b. Let d(l) = -10*h(l) + y(l). Let o be d(-1). List the prime factors of 2\/(-8) - o\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:29 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s*s)**40*(s**(-2\/7)\/s)**(2\/11) assuming s is positive.\nAnswer: s**(3062\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5503368 and 109\/29760?\nAnswer: 220134720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.04 (b) -3\/5 (c) -2.818 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, l: 4, h: 7}. Give prob of picking 1 l and 2 h.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 4*d**3 + 0 + (-1 - 1 + 4)*(11 - d**3 - 11).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 5*d + 1. Let s be 0 + (-3)\/(-6)*12. Let l(a) = -a. Let c(n) = s*l(n) - r(n). Give c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, y: 1, e: 1, v: 5, t: 1}. Give prob of sequence yt.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/4, -6, -4, 1477, -5\/3, -2\/5, -0.2?\nAnswer: 1477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 7:35 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvwzzzzzzwvzzzzwzez. What is prob of sequence wz?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 15*r**2 + 2*r**2 - 4*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154\/13? (a) 0.4417 (b) 1 (c) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47205988*m**4 + 1215955*m**2 - 8*m?\nAnswer: -1132943712*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b - 1. Let g = -42 + 42. Suppose g = 19*u - 14 - 5. Determine x(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126328484539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/150? (a) -4.05 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s + 3. Let d be k(0). Let m = -52\/3 + 17. Which is bigger: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 82*r**2 + 4*r + 159. Calculate w(-41).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26.56 and -0.062?\nAnswer: 26.622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = 19. Let z be (-498)\/(-9) + (-3)\/(-18)*4. Suppose -49 = 3*f - 2*l - 0*l, -4*f - z = 2*l. Sort 0, f, b, 3.\nAnswer: f, b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49384, 98760, 148136, 197512?\n\"Answer: 49376*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4097738 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w - 2*o - 27, 4*o = -4*w + 56. Suppose -z = -w - 10. What is the highest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o + 33*o**4 - 2 + 19*o**4 - 42*o**4 as b*o + l*o**3 + m*o**4 + q + y*o**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 5*b. Find n, given that 2\/7*n + b + 2\/7*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 7*o**2 - 5. Let m(u) = 24*u**3 - 20*u**2 - 14. Determine -5*m(c) + 14*v(c).\nAnswer: -8*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 10:57 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59\/15 + -18\/5. Let k(f) be the first derivative of 1 + 2\/5*f**5 + f**2 - 4\/9*f**3 - o*f**4 - 2\/3*f - 1\/9*f**6. Factor k(z).\nAnswer: -2*(z - 1)**4*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101.0295 + 0.0295. Let n = -100.6 - o. What is the fourth smallest value in 0.5, n, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((231\/88)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -1929*t**4\/4 - t**3\/3 - 1184*t**2 + 5697*t. Find the second derivative of r(o) wrt o.\nAnswer: -11574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 31 - 1572*s**3 + 10 - 712*s**3.\nAnswer: -2284*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266.8485 + -2.\nAnswer: 264.8485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185018233, -370036466, -555054699, -740072932, -925091165, -1110109398?\nAnswer: -1295127631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 75 + -10 - -10 - (1 + (7 - 0)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64 * -0.72\nAnswer: -46.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34667, 69332, 103997, 138662, 173327?\n\"Answer: 34665*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53010010 (base 6) to base 4.\nAnswer: -11320031112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604249011.\nAnswer: 3, 22379593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 10*a = -4*q - 35, 0 = -4*q - 3*a - 29. Calculate the least common multiple of 1 + q + 0 + 76 and 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4093.000097026 - 4093. What is p rounded to 6 decimal places?\nAnswer: 0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21201433 (base 5) to base 8\nAnswer: -534300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.84 > 52.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 32. Suppose 4*p + 3*h = 3*p - 4, c*p + 2*h - 34 = 0. Calculate the highest common divisor of p and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 14*p + 31)*(-27 - 12 + 3).\nAnswer: 504*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -22*z**2. Let m(t) = 50*t. Give u(m(n)).\nAnswer: -55000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 3*q + 2*q - 149 + 71.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1880278 by -139.\nAnswer: -1880278\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 > 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4 = 0, 13210 = 189*m + 24*m + 4*y for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 199*r - 197*r - 50, -8*a + r = 36 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -1215*l**5 - 27000*l**4 + 55515*l**3 + 324440*l**2 - 151220*l + 17040 = 0.\nAnswer: -71\/3, -3, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*(1 + -7 - (-763265)\/125990)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 1. Let x(r) = -3*r**3 + r**2 - 24*r + 1. Let d(s) = f(s) - x(s). What is the second derivative of d(v) wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7473*k + 4835*k - 8768*k to f + r*k and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 + 6*f**3 + f - 3*f + 2*f.\nAnswer: 6*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 + 184 - 296 + b - 201.\nAnswer: b - 659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 g, and 1 r when three letters picked without replacement from {r: 7, g: 1, k: 1, b: 1, a: 5}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -15\/1079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2188 = 4*b, -b + 2*b - 542 = 2*s. What is b rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -13. Let m = s - 22. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6790 and 84.\nAnswer: 40740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -1) + (-151 - (171 + -345))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Solve -5*n - w*l = 3*l - 40, 3*n - 34 = -5*l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*(sqrt(117) - (4*sqrt(117) - sqrt(117) - sqrt(117))) + 1)*4)**2.\nAnswer: -384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3036, 1176, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 280*k - 1464. Calculate l(7).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66029 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2196396007.\nAnswer: 13, 168953539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13*l - 31*l + 25*l + 7 + 3*l**2. Let t(i) be the first derivative of -i**3\/3 - i**2\/2 + 1. Let n(a) = q(a) + 2*t(a). Calculate n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/221 - (291\/(-17) + 7). Let f be (1\/1)\/(2\/12). Let q(u) = 6*u + f*u + i*u. Let x(s) = -2*s**2. Give x(q(w)).\nAnswer: -968*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*x = -4, -c + 3*x = 4*c + 31. Let m be (20\/c)\/(2\/4). Let g = m - -19. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 14*t + 36. Let m(s) = -s**3 - 6*s**2 - 13*s - 9. Let k be m(t). Solve 0 = -3*y + 6, -5*f - k = -2*y + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3876692, 0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * -92.\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1027 divide 48521642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 80 = 2*q - 5*s, s - 399 = -4*q. Suppose 289*o - 264*o = 225. What is the highest common factor of o and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w**3 - 7*w + 9. Let z(i) be the first derivative of -3\/2*i**2 - 47 + 4*i + 0*i**3 - 3\/2*i**4. Give -4*d(c) + 9*z(c).\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**5\/60 + k**4\/2 + 17*k**3\/6 + k**2. Let l be r(13). Suppose -2*h = 2*n + l, 0*n = 5*h + n + 6. Is h at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from fuwhfvhwy.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1023 + -1020. Solve 2*g + 2 = d*p - 6, g = 5*p - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 649297 and 249307.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21844440.\nAnswer: 2, 3, 5, 60679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -10*v - 2. Let m be n(0). Let k(i) be the first derivative of -i**2 - 3*i - 3. Let p(o) = -o - 1. Give m*k(g) + 5*p(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06124 + 148.27476. What is r rounded to 0 dps?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = o + 264, 4*l - 2*o = 2*l + 176. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4927361 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 1 + 1. Let f(u) = -10*u - 2. Let b be f(-1). Let k = b + -60\/7. What is the second smallest value in -0.4, v, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*n**2 + 5*n + 4*n + 274*n**2 - 9*n - 10*n**3 - 132*n**2.\nAnswer: -10*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2. Let n(z) = -1 - 1 - 10 + 2*z**2 - 5 - 4*z**2. Calculate n(o(b)).\nAnswer: -8*b**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0297 or 28?\nAnswer: 0.0297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10012201121 (base 3) to base 7\nAnswer: -352216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 - 88*h + 157. Let q be v(4). Let p = 161\/2 + -82. Which is the fourth smallest value? (a) 4\/5 (b) p (c) -3\/7 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 - 2*s - 1. Let l be x(2). Let j = 4 - 7. Let v be ((-4)\/(-18))\/(13\/((-1638)\/(-98))). What is the nearest to l in v, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -161*g**3 - 17*g**2. Let m(w) = 54*w**3 + 6*w**2. Give -6*k(b) - 17*m(b).\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63803, -127594, -191387, -255182, -318979, -382778?\nAnswer: -446579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let z = 38 - 30. Suppose 2*i - 3 = -3*s + z, 0 = -2*i + c. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) + (sqrt(78) - sqrt(78)*1)))*3 + sqrt(78))\/sqrt(6) + (4 + (sqrt(208) - sqrt(13)))*-2)**2.\nAnswer: 80*sqrt(13) + 389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -v - 0 - 8, 0 = -3*v - 3*s - 12. Let i be (-1 - -2)*(8 + v). Suppose 0 = -0*p + i*p - 155. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2590 divide 1867674900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-9)\/((-18)\/(-8))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 4*t. Let g(f) be the first derivative of -f**2\/2 - 1600000*f + 7. Let u be g(t). What is u rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s*s)**(-8\/7)*s\/(s**(4\/7)*s*s*s)*s**(-7\/5)*s*(s*s\/((s**(-8)*s)\/s)*s**(2\/9)*s)**(-31) assuming s is positive.\nAnswer: s**(-110521\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/5)\/(6\/60) + -1. Is 254*(-4 + t + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.735808 tonnes?\nAnswer: 735808000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 - 176 + 20*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022021001 + 122?\nAnswer: -1022020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*p + 2 + 1, -2 = -3*p - 2*w. Solve -3*t - 7 = 2*u, p*u + u + 4*t = -11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1921851301 and 3909.\nAnswer: 1921855210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*c = -4, 0 = -5*c + 3 + 2. Let h be ((-6)\/3 - -4)*n. Differentiate -21*z**h + 48*z**2 + 7 - 14*z**2 with respect to z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + 1 + (-32)\/8. Suppose r*h - 29 - 25 = 0. Calculate the remainder when 10 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-270)\/9)\/5 + (-1996)\/(-330). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from opoopoo.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - d - 4*d - d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.43 + -1.93. Let n = 11.15 + -11.1. What is the biggest value in n, -2, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66653279983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (10 - (6 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010200 (base 3) to base 14.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.09 + -0.09. Let t = 61\/216 + 5\/54. Let s = t + -13\/56. Sort s, c, 0 in decreasing order.\nAnswer: c, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545\/((-392400)\/(-288)) - ((-876)\/(-45) + 4\/(-10))?\nAnswer: -56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 77*t + 883. Let n be c(-11). Solve -5*m = 4*f - 25, m - n + 10 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a factor of 381323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 192*x**2 - 4128*x - 1846. Determine l(63).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112300 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 6341\nAnswer: 22\/6341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2133383 and 1221.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 3*o + 36 - 47, l = -2*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -443 - -442. Which is the second biggest value? (a) w (b) 0.4 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:45 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 4*m**4 + m**3\/3 - 69*m**2\/2 - 12*m + 2. Differentiate k(c) wrt c.\nAnswer: 96*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 720 and 12.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*c - 2*b, 0 = -2*b + 6*b + 16. Let m be ((-12)\/9)\/(8\/c). Factor 802 - 2*x**m + 18*x - 802.\nAnswer: -2*x*(x - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1394 + 14*d**3 - 1394 + d**2 - d**2.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 20 = -10*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Let m be -11*b*(-3)\/6. Suppose 2*a + 2*c - 5 = c, -2*a + 5*c + m = 0. What is the highest common factor of a and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2036011.\nAnswer: -1\/2036011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 258.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68)*1)\/sqrt(4) - sqrt(17)) + sqrt(17) - sqrt(17)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2866 = -3*l + 9250. What are the prime factors of l?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 19*y + 4. Let f be g(-9). What is the greatest common divisor of 3713 and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5862 take away -295664.4?\nAnswer: 289802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 2)*(2*z**2 - 3 - z - 4*z + z) to s + o*z**2 + j*z and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 172655, 172656, 172657, 172658, 172659?\n\"Answer: k + 172654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14816401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*p = -1053*p + 31936 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2. Let p(v) be the second derivative of -v**3\/2 - 8*v**2 - 7*v - 4. What is p(o(d))?\nAnswer: -9*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104883089.\nAnswer: 2003, 52363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 6*c. Let t(k) = 3*k**2 + 5*k. Let m(g) = -2*g**2 + g. Let p be m(2). Let w(q) = p*t(q) - 5*x(q). Let b(r) = -4*r. What is b(w(u))?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hahjoj. What is prob of picking 2 j, 1 o, and 1 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 13*j - 15. Let b(z) = 3*z + 4. Determine -9*b(t) - 2*g(t).\nAnswer: 2*t**2 - t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 6*d. Let n be j(-5). Suppose 5*k = 5*m - 0*k - n, -41 = -4*m + k. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/1290304 and -1\/5161216.\nAnswer: 5161216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -43. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*w**3 + (-w - w + w)*(-2*w**2 - 4*w**2 + 5*w**2) + (2*w**3 - 4 + 4)*(8 + 8 + 6).\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + 0 - 1*2. What is the third derivative of -11*n**2 + 18*n**b + 14*n**3 - 14*n**2 - 54*n**3 wrt n?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n = 127*n + 415 - 582 + 5367 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5*s + 5)*(-14*s**2 + 21*s**2 + 19*s**2)*(-1 + 0 + 0).\nAnswer: 130*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58\/91 + -804\/1547. Factor -a*n**2 - 18\/17 - 12\/17*n.\nAnswer: -2*(n + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 = -0. Let v be (-3)\/(-4)*(g + 58\/(-33)). What is the nearest to -0.2 in v, 0.4, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1927845 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256554\/(-57012))\/((-3)\/22*1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-15))\/((-1)\/5). Put x, -4, 3, -1 in descending order.\nAnswer: 3, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20457 <= -20461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*m - 2093 = 178*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - -14. Let s = -17 + o. Which is the nearest to 0? (a) s (b) 2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 325472 (base 10) to base 8\nAnswer: 1173540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 32*d**2 + 5*d + 5. Let i be m(-5). Calculate the highest common divisor of 60 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-22) + (-1400)\/2618. Let s = 76\/119 + a. Factor s*i**2 - 6\/7*i**3 + 6\/7*i - 2\/7.\nAnswer: -2*(i - 1)*(i + 1)*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 1977656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*b + 0 = -14, -b = -w + 14. Calculate the highest common divisor of 154 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 - (0 - (0 + 3)). Suppose p = -4*o + 3*k - 3, 0 = -3*o + 4*k - 17. Is 14 a factor of 340\/8 - o\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.628047l?\nAnswer: 6628.047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -4934791.\nAnswer: -11\/4934791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0 + 0*o - 1\/8*o**4 - 1\/3*o**3 - 2*o**2. Find the first derivative of v(u) wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348857 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (8 - 9) - 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -926 + -5?\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/24 - 7*i**3\/6 + 2*i**2. Let t be m(-8). Let q be t\/3*3 + -2500001. What is q rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*3\/(-6))\/(-2 - 54\/(-30)). Let l = 1423\/3 - 470. What is the closest to 0 in n, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3568127 months in years?\nAnswer: 0.113067725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 46*g**2 - 394*g + 273. Calculate y(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69421769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 3169547481.9.\nAnswer: 3169547479.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 6 + 2)*(-5*x - 25*x - 15*x)*(10*x**3 + 0*x**3 + 4*x**3) as w*x**3 + j*x**2 + v*x + f*x**4 + n and give f.\nAnswer: 3780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -38, -2\/7, 64, -0.3, -3, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 70.348, 4, 1\/17, 0.4 in increasing order.\nAnswer: 1\/17, 0.4, 3, 4, 70.348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*o = -2*z + 62, 2*o + 68 = 4*z. Suppose z*a = 8*a + 1350. What is the remainder when a is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d = 18*d + 506. Let y = 8 + 821. Let i = y + d. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 9, 7845 in increasing order.\nAnswer: 9, 64, 7845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-2)\/(-2) - 13*-1. Solve r*l - 11*l = -10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -78*s - 35 - 2 + 11*s - 78. Is l(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 3*k + 32, -k - 84 = -4*r. Let x = r - 0. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c - 3*c)*(-3 + 1 - 5)*(0 - 3 + 1)*(-2*c**3 + c**3 + 3*c**3).\nAnswer: -140*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/396 and -113\/72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -5*l**4\/4 + 745*l. Let j(q) = 22*q. Give j(s(c)).\nAnswer: -330*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-1)\/(-7) - (-29716)\/238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6593, 6581, 6567, 6551, 6533?\nAnswer: 6513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g - 1. Let c be j(2). Let r = 235 + -126. Is -3 - 1*r\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81445 and 716.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16094.85 decades to centuries.\nAnswer: 1609.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -13*l + 1. Let z be c(-1). Let x = z - 2. What is the remainder when (-14 - -71) + (0 - 0) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -11*d + 8*d. What is the remainder when (-1 + d)\/((-4)\/(-26)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*s - 63 + 13 + 65 + 8.\nAnswer: -95*s + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Let p(n) = n**3 + 9. Calculate the remainder when p(0) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k**(-2\/9))\/((k**(-3)\/k)\/(k\/((((k*k*(k\/(k*k*k\/k**4))\/k*k*k)\/k)\/k)\/k))) assuming k is positive.\nAnswer: k**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 3:57 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 52. Give u(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b*q**2 - 15*b*q - 108*b - 382*q**2 wrt q?\nAnswer: -12*b - 764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 100.5. Suppose 0 = -r - 2*u - 5, -15 = 2*r + 3*u + 2*u. Let z = -6.4 + 6. Sort r, l, z in ascending order.\nAnswer: z, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -304025?\nAnswer: -1520125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 61*b**2 - 101*b + 125. Determine w(32).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + o**3 + 4*o**3 + 0 + 2*o**2 to i*o**2 + w*o**3 + l*o + q and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 214\/419, 2\/13?\nAnswer: 214\/419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*h - 0. Let l be 11\/(-3) - (-2)\/h. Suppose -a + 12 = m + 2*m, 5*m - 3*a = 20. Sort m, l, -1.\nAnswer: l, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c**2 + 21*c**2 + 290*c - 141*c + 511*c**2 + 241*c wrt c?\nAnswer: 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, q: 1, e: 1, l: 2, x: 1, n: 1}. What is prob of sequence jeq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 2*z**4 - z**5 + (-z**3 - 9 + 9)*(7*z**2 + 2*z**2 - 4*z**2).\nAnswer: -6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10158051\/152 + 66829. Let u be 54\/19 + -1 - 2. Let z = r - u. Which is the third smallest value? (a) -2\/5 (b) -2\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 98*j**3 - j**2 - j - 1. Determine k(-1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 178945996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**4\/4 + 61*n**3\/2 - 2048*n. Factor y(v).\nAnswer: -3*v*(v - 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 4) + (0 - 0). Let l be n + 4 + -1 + -4. What is the remainder when 62 is divided by (-7)\/l*3*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799625*h - 510 = -11*k - 799620*h - 118, 4*h + 99 = 3*k for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9*a + 524 = 0. Let r = 5894\/45 - a. Is r at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1331) + sqrt(1331) + 3 + -3)**2 + (5 + sqrt(1331) + 0)*2)*-3*4.\nAnswer: -64020 + 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**3\/6 - 8*c**2. Let g(z) = 3*z + 1. Let l(i) = i + 1. Let o(p) = g(p) - 2*l(p). Determine -o(u) + x(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 168 = -5*m + 144, -2*m = -4*z. Put -5, m, -23 in decreasing order.\nAnswer: m, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59150344 to four dps.\nAnswer: -0.5915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Put 1, m, -9 in ascending order.\nAnswer: -9, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11232331300 (base 4) in base 15?\nAnswer: -1ea55d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -277 (b) -26 (c) 108.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -725944*b + 7259446. Give z(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7 = 8. Suppose d = a + 5*d + 10, 0 = 5*a + l*d - 18. Let h = a + -1. Are h and 23\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*a - 78 - 359 - a**3 - 146*a + 2*a**2 as z*a + t + c*a**3 + s*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4755, 4624, 4447, 4200, 3859, 3400, 2799, 2032?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4351.675 to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.144 + 1.91. Let b = -0.034 - y. Is b greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0711035 * -0.4.\nAnswer: -0.4284414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, n: 1, h: 9, q: 1}. What is prob of picking 1 n and 3 h?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -5. Let o = w - 4. Solve 4 = -b + 2*i, 0 = -2*b - 2*i + 3 + o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31683 + 31695. Suppose 0 = -3*n - 6, -5*z + 0*n = 5*n - 355. Let d = -40 + z. Calculate the smallest common multiple of d and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -11. Which is the third smallest value? (a) t (b) -4 (c) -2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + 2137704?\nAnswer: 21376a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -7899\/51499 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t**(2\/3)*t*t)))\/t**7)**43\/((t**0\/(t*t**5))\/((t\/(t\/(t*t\/t**(5\/4)*t))*t)\/(t\/((t*t**(1\/3)*t)\/t)))) assuming t is positive.\nAnswer: t**(-537\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146313?\nAnswer: 3, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7134\/(-798) - -9) + (-24)\/(-42). What is the third smallest value in -0.1, 0.4, 0, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35778 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -497905958 - -30781?\nAnswer: -497875177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647725771.\nAnswer: 3, 882575257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**4 + 53*w**3 + 102*w**2 - 32*w - 128 = 0?\nAnswer: -8, -2, -8\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.4 + -5. Let n = k - -0.6. Let t = 0.11 + 4.89. What is the third smallest value in t, -2, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 10*j**2 - 2*j + 2. What is the least common multiple of 8 and r(-10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15003, -15005, -15007?\n\"Answer: -2*h - 15001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1855580 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*p**(1\/16))\/(p**(2\/17)*p*p\/p**(-1\/13)))\/(p**(-3\/2)*p**(-3\/4))**(3\/22) assuming p is positive.\nAnswer: p**(-419173\/272272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*p = -13*w - 59, 0*p + 5*w - 14 = -13*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -22. Let n = 1069 + -1065. Put t, -1, -3, n in ascending order.\nAnswer: t, -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 18*l**2 + 16*l + 22. Let h be d(17). Suppose 3*i - 782 = 2*f, 2*f - 467 + 1765 = h*i. List the prime factors of i.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 433632 = -4*p, 55179 = s - 2*p - 53229. Let y = 15408 - s. What is y rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaaaagagaaaaaa. What is prob of picking 2 a?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 + 8304 = -138*i - 488 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -348.\nAnswer: 25\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:51 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26638 - -13931670\/523. Let q = m - -39257\/4184. Find the common denominator of q and -73\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*m**2 + 2035*m**2 - 430*m**2.\nAnswer: 2269*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + 2 + 7 + -28.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 20, -p + 3*b - 10 = -0*b. Let u(k) = -7*k - 2. Let l be u(-1). Solve n + p*n + l = d, 5*n + d + 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -190, -0.4, 0.2, 1\/6?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/486*(-1 - 7) and -59\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5462*v - 2414216. Calculate m(442).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, y: 3, k: 5}. What is prob of picking 1 k and 3 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170 divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00950210112 to 4 decimal places.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 30806.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*w**2 - 573*w**2 + 5*w + 271*w**2 + 2 - 2.\nAnswer: -34*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -1, -959.\nAnswer: -959, -9, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2280009 is divided by 455994.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 10, 10*g - 11*g + 5*h = 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1371 (b) 5\/4 (c) -0.19 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(1 - 9530\/9535) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/(-8) - (6 - 29). Solve -11*z = -m*z + 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 412?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -121*f**7\/21 - f**6\/15 + 7*f**3\/3 + 6*f**2 + 41*f + 3. What is the second derivative of u(c) wrt c?\nAnswer: -4840*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(8\/(-16)))\/((-2)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/995413 or 1?\nAnswer: 1\/995413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 14*t**2 + 4. Let r be j(-14). Solve r*d = -16 + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*p = 25, 4*t - p - 20 = -5*p. Suppose -6*v - 54 + 114 = t. Calculate the smallest common multiple of v and 17.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 15. Let g(q) = -q - 7. Let v be g(j). Let n be ((-1)\/v + -1)*-10. Solve k + 0*k = 3*x + 9, 2*k = -n*x - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -49, 54, 3, -0.5, -3, 14\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 36. Let p be l(-27). Let g be 4\/(-12)*1 + (-3)\/p. What is the tens digit of 10 + -11 - (-150 - g) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyee when four letters picked without replacement from yeeedddyddydyyydeye.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46689048 and 30879?\nAnswer: 46689048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4685)\/(-4) + 4*(-5)\/80 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 3*c**2 + 2*c - 4. Let v be l(2). Suppose -4*p + 28 = -3*n, -4*n + 6 = -5*p + v*p. Solve 0 = 5*w + p + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 24684 = -124*n. Are n and 130 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 + -364. Let i be (-134)\/(-17) + (-2)\/m + 4. Solve 0*k + i = 6*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 3*a**2 - 4*a - 6. Let p be s(-1). Put 1, 8, p, -4 in ascending order.\nAnswer: -4, p, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125566*w - 389831.\nAnswer: -125566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58137, 57575, 57015, 56457, 55901?\nAnswer: 55347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(0 + sqrt(1584)) + sqrt(1584) + (-1*-1*sqrt(1584) - sqrt(1584))**2 + -4)*-5.\nAnswer: -20 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 7*f**2 + 60*f - 6. Determine u(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.18 + 0.18. Let y = 1657.5 - 1658. What is the nearest to y in g, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yii when three letters picked without replacement from {i: 7, q: 3, s: 4, y: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 7138569*b + 2*b**2 + 7138569*b - 71.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j - 48*j - 18 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-1))\/(-1) + (-9)\/(-3). Suppose 0 = -g*o - 306 + 1026. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 164374*k**2 + 2629600*k - 10517888.\nAnswer: 2*(k - 82171)*(k - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/(-10164))\/(5\/12).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmr when four letters picked without replacement from {r: 5, m: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:42 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-27 + 19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511798683.\nAnswer: 73, 20709571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d = -d. Suppose 3*v + v - 8 = 0. Suppose 0 = -v*y + 6 + 16. Solve 3*b - m = y, d*m + 6 = 4*b + 3*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 q, 1 j, and 1 l when four letters picked without replacement from jgqal.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 4. Suppose 81*l + 168 = 57*l. Is l smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 6 + 8. Let f(o) = -46*o**h + 15*o**2 - 25*o + 16*o**2 + 14*o**2 + 8. Is f(-20) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193535963 to the nearest integer?\nAnswer: 13912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqrq when four letters picked without replacement from {q: 5, r: 5, e: 2}.\nAnswer: 10\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/(28\/8) + -2)\/2. Let g(m) be the second derivative of f - 5*m + 3\/2*m**2 - 5\/6*m**3. Differentiate g(r) wrt r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30952673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/7 - 40*o**3\/21 + 8*o**2 - 96*o\/7 - 1475. Factor r(d).\nAnswer: 4*(d - 6)*(d - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.423543 rounded to 3 decimal places?\nAnswer: 5.424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20451 - 22627 = 3077*v for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*v**6 + 8*v**5 - 12*v**4 - 2*v**2 + 87*v + 4 wrt v?\nAnswer: 1800*v**3 + 480*v**2 - 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 9068*s**2 - 9066*s**2 - 2*s - 285 + 2*s.\nAnswer: 2*s**2 - 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8, -2*v = -v - 5*q + 17. Solve -3*z - 9 = 2*z - 4*b, -v*z - 31 = 4*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 12, 3*f = 4*r + 5*f - 26. Suppose r*t = 4*t + 136. Calculate the highest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -62.1\nAnswer: 6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 275163306 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479717739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-20) - 3)\/(((-56)\/110)\/14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 9, -49, 3287, -2 in decreasing order.\nAnswer: 3287, 9, 5, -1, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*q + 87*q + 406 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 126969?\nAnswer: 634845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(8\/21)*(-233)\/((-76191)\/436)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1928 + -1069. Suppose -2*k + 0*o + 4*o + 1718 = 0, k - y = 4*o. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(750\/225*36\/75).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - d + 3. Let y(b) = 22*b**2 - 16*b + 48. Let l(z) = 80*w(z) - 5*y(z). Let o(s) = -s**2. Determine o(l(q)).\nAnswer: -900*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 14*j**2 - 127*j + 41. Determine n(-21).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-8))\/((-12)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-2)\/24*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 2102012?\nAnswer: 2102004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -531240, 0, 5 in descending order.\nAnswer: 9, 5, 0, -531240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-3 - (-1 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -461 + 660. What is the thousands digit of 56 - 50 - -7*a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 19*k + 13. Let u be n(10). Suppose -4*t = -u*t + 1. Which is the fourth biggest value? (a) -4 (b) 2\/11 (c) 4 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 7) to base 4.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.12861 rounded to one decimal place?\nAnswer: -19.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019191 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 370325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 250985\/(-1515)*(6\/(-10))\/((-77)\/(-110))\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*o + 59. Suppose 0 = -o*z + 18*z - 1017. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-505)\/20 - (-2)\/8. Let g = a + 24. Let l(d) = -3*d**2 + d - 1. Let o(w) = -13*w**2 + w - 3. Let h(b) = -2*l(b) + o(b). Calculate h(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16657532 - 3?\nAnswer: -16657535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 88275052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/23)*z**14*z*z**(5\/6)\/(z**4*z))**(-1\/10) assuming z is positive.\nAnswer: z**(-1507\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*d - 31, 2*d + 2*j = 4*j - 2. Let t = d + 10. Suppose -7 = -4*s + t. Solve -4*u - n - 15 = 0, -2*u = s*u + 5*n + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {e: 1, u: 1, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14060 + 66\/11 + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 34955025\nAnswer: -1\/4993575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230110103 - 1?\nAnswer: 230110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/2 + 1939463*c**3\/4 + 727297*c**2 - 484865*c = 0. What is c?\nAnswer: -969730, -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 315117 to the nearest ten thousand.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 101*k**2 + 93*k - 913. Give m(-102).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*v**2 - 2*b**3*v + b**2*v**2 + 2*b*v + 17*b + v**2 wrt b.\nAnswer: -12*b*v**2 - 12*b*v + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*n + 37*n + 11602 = 270*n - 722 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256 and 5472?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/2))**(21\/8))**(-24\/5))**(28\/5) assuming p is positive.\nAnswer: p**(-2646\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 41*o**2 - 49*o + 368. Let t be a(42). Solve c + 75 - t = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21a + 218056?\nAnswer: 217c3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22141 (base 5) in base 9?\nAnswer: -2107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -75478*w - 1137. Is j(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35*(103 - (-18)\/9).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q**2 - 5*q**2 - 8*q**2 + 26*q**2. Let j(n) = -6*n. Determine v(j(l)).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 88 + 44. Calculate the common denominator of -101\/14 and ((-6)\/h)\/(4\/12).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 3*z - 4. Let y(n) = -5*n**2 + n - 2. Let s be y(1). Determine r(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4 + 3 + 2*g - 5*g**2 - 2*g - g**3. Let t be b(-5). Let j(u) = 84285*u + 5. Let x be j(t). What is x rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (0 + -3) - -5)\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 times 182012?\nAnswer: 46413060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*i**3 - 30*i + 21*i**3 + 32*i + (0*i**3 + i**3 + i**3)*(1 + 0 + 0) as d*i**2 + v*i + f + y*i**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 164 and 16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -15.9. Let v = d + 4.2. Which is the second smallest value? (a) v (b) 4\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 765 + -399. Suppose 4*t = 2*p - 0 + u, -4 = -4*p. What is the highest common divisor of t and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, k: 2, f: 4}. What is prob of sequence hk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= -367218.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 1509?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1643*c*k**2 - 124*c*k - 1180135*k**2 - k wrt c.\nAnswer: -1643*k**2 - 124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8431.561km in meters?\nAnswer: 8431561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48546 + -1 + 28*(-12)\/(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 177*q**2 + 159*q - 47*q**2 - 164*q to the form c*q + x + w*q**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o - 32. Let p be (9\/(-3) - -4)\/((-1)\/(-4)). Suppose 2*w + 27 = 3*k, -41 = w + 2*w - p*k. What are the prime factors of n(w)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 19*b - 8. What is the third derivative of 30*f**2 + 2*f**4 - 2*f**5 + 1 - 12*f**5 + f**b wrt f?\nAnswer: -840*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 92?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 8, 750390, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7897 and 318?\nAnswer: 47382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 + 2*l**4 + 5*l**2 + (-9*l**2 + 3*l**2 + 0*l**2)*(l + l**2 - l) + 662*l**4 - 115*l**4 + 82*l**4.\nAnswer: 625*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.657 and 0.6202?\nAnswer: 1.6478714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 10*o. Let n be t(7). Suppose -5*h + n = -2*h. Let x = 5 - h. Which is the nearest to -1? (a) 4 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2234 + 723. Suppose 0 = 2*v + 131 + m. Let c = -925 - v. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680267?\nAnswer: 7, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41208972 and 840.\nAnswer: 412089720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(2*b + 0 + 0) + (-75*b - 566*b - 23*b)*(1 + 0 + 2) as d + v*b and give v.\nAnswer: -1996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 9:25 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-247)\/209 + 1 + (-75)\/11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 4*a**2 + 4*a**2 - 2*a**3 - 27 + 5*a**2 + 4*a**2 - 18*a**2 to the form b*a + k + r*a**3 + u*a**2 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -q - 2. Suppose 0 = -y - 0*y + q. Solve -5*f = 5*v + 15, -3*f = -0*f + y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2\/8 + 6045*j\/4 + 12180675\/8.\nAnswer: 3*(j + 2015)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1109, 2216, 3323, 4430, 5537, 6644?\n\"Answer: 1107*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 1 + 40959*p**2 + 3 + 10436*p**2. Let y be o(-1). Suppose -l - i = -821399 + y, l - 769988 = 4*i. Round l to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.12 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 54083 + 37381. What are the prime factors of d?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5364? (a) -7 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 251*i + 6348. Determine r(-29).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 - 125*c - 42 as y*c + u and give y.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1345 = 4*u - 2*z, 4*z - 360 = -u. Calculate the greatest common divisor of u and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 7:52 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 11011?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 5*m - 7. Suppose -11*n + 49 + 39 = 0. What is the units digit of j(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) 0.9 (c) -9526 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38653670 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -71*a + 247. Let p(v) = 142*v - 492. Let r(f) = -13*j(f) - 6*p(f). Does 23 divide r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3391*-59\nAnswer: 200069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 3, x: 1, z: 1, c: 5, u: 1}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 970690000 to the nearest one million.\nAnswer: 971000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 3*x**2 + x)*(-1 + 1 - x**2) + (0*x - 4*x + 5*x)*(-5*x**3 + 2*x**3 - x**3) to m*x**3 + z + l*x**4 + w*x + u*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-120)*19\/(-152)*(-20)\/(-1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 4564?\nAnswer: -4624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 102 + 35 - 93 + 4*b. Let l(a) = -3*a**2. Calculate z(l(y)).\nAnswer: -12*y**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 55 = -19*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.44 + 0.56. Let h = -31.5 + g. Let w = 12 - 7. Sort -2, w, h in ascending order.\nAnswer: -2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilogram in grams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025 is divided by 337?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (2 + -4 + 2). Let y(t) = t**3 + 3*t**2 - t + 1. Let n be y(-3). Let o(m) = -m**2 + 6*m + 5. Let j be o(6). Put n, j, f in increasing order.\nAnswer: f, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 694\/6 - (-2)\/(-3). Suppose 3*m - o = -3*c + 125, 397 = 5*c + 4*m. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 101920*w**2 + 203843*w + 101922.\nAnswer: -(w - 101922)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*a - 133*a = 4. Let s(t) = -4*t**3 - 5*t**2 - 3*t + 2. What is the smallest common multiple of s(a) and 35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = -3*x - 6214262 + 6214287, 4*g + 0*x = -x - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let l be j(2). Suppose -3*h + 3*t - 2 = -11, -9 = 4*h + 3*t. Suppose 4*w - w = h. Solve w = -4*d - l*g - 4 - 0, 0 = -2*d + 2*g - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 - 22*b**2 - 4. Let c(o) = -2*o**3 + 20*o**2 + 3. Give -6*c(l) - 5*w(l).\nAnswer: 2*l**3 - 10*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -38.3. Let m = 0.7 - x. Let i be (3\/(-12))\/(6\/8). Sort i, -2, m in descending order.\nAnswer: i, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 12. Let d be m(-6). Let k(v) be the second derivative of -v**4\/12 - v**3 + 4*v**2 - v. Let r be k(d). Solve -r + 3 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 5*t - 0*t - 3, 5*a + t - 11 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.601628 hours to microseconds.\nAnswer: 27365860800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78639761\/18550 - 7026\/1325. Let g = -4248 - w. What is the common denominator of g and -17\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*s + 812595 - 774930 = 0 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 1, b: 1, r: 1, e: 2}. Give prob of picking 1 n and 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -394 + 397. Suppose b*o = -2*z + 53, 13*o = 8*o - z + 100. Let y(m) = -22*m. Let t be y(-1). Do o and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -15 + 33 + 0 + 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/7193675?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7 = -p, -p - 1 = -3*z + 8. Let d(i) = 4*i**3 + 2. Is d(z) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001196339 rounded to 5 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/5 + 302*u**4\/5 + 7668*u**3\/5 + 67554*u**2\/5 + 40095*u.\nAnswer: u*(u + 9)**3*(u + 275)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 224 = 13*f. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 30 - 34. Put 4, n, 13, 3 in decreasing order.\nAnswer: 13, 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 11*i**3 - 30)*(3*i**2 + 0*i**2 - 2*i**2).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100 - -10110111110?\nAnswer: 10001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2 + (-2 + 6)*-1. Suppose -251*s + 254*s - 666 = c. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u - 1. Let g(j) = -4*j**3 - j**2 + j. Let t be g(u). Sort -1, t, 1 in increasing order.\nAnswer: t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -2161*n**7\/14 + 5*n**4\/12 + 217*n**3\/3 + 111*n - 9. What is the third derivative of v(x) wrt x?\nAnswer: -388980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117*f**4 - 130*f**4 + 3 + 21*f**2 - 3 wrt f.\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 169*z**2 - 7*z + 1171. Determine i(169).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:01 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(832) + 1.\nAnswer: -2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3626)\/(-148)*88\/59290?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 10*v**2 - 36 in the form x + h*v + j*v**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180 - ((-44)\/(-11) - 4). Calculate the highest common factor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500 by 100.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**3 + 4*p**2 + 2*p - 25. Let u be -2*(-3)\/42 - (-243)\/63. What are the prime factors of n(u)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -17. Suppose -l*f = -13045 - 5116. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393596969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -1 - (2 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32241, -128964, -290169, -515856, -806025, -1160676?\n\"Answer: -32241*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + g + 5)*(-15 + 7 + 3 + 1 + 5 - 4 + 3 + 0 - 1 - 1 + 2 + 1 + (2 - 1 + 1)*(-1 - 2 + 1) - 5 + 2 + 1).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/(305\/(-366))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50926, 50062, 49190, 48304, 47398, 46466?\n\"Answer: -h**3 + 2*h**2 - 863*h + 51788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*p**3 + 49*p - 49*p + (-5*p + 18 - 18)*(-4*p**2 + 4*p**2 - 3*p**2) in the form v*p + r*p**3 + l + u*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -18\/40739581?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o - 45*o - 35*o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 231 + 18. Let p = 252 - d. Factor 8\/11*g - 2\/11*g**p + 0 + 0*g**2.\nAnswer: -2*g*(g - 2)*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24943 - -73536. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*y - 6 = 187*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2451988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316523 is divided by 424?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*v + 3122 + 1910 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 8, m: 9}. What is prob of picking 3 o?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1046003 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 65 = 2*v, -148 = -7*o + v. Calculate the greatest common factor of 33537 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.4? (a) -4 (b) -2\/11 (c) -0.1 (d) 1\/5 (e) -20\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4 - 20*b - 2 + 14*b + 9*b. Let n be (-3 + 0)*(1 + -2). Let w = -5 + n. What is t(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/((k*k*k\/k**(1\/4))\/k))\/(k**(-8)*((k**(1\/5)\/k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 21 = 10*a - 9*a, 3*a + 3 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11485.157 - -59885.\nAnswer: 71370.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k**3 - 3*k**2 - 8*k**3 + 0*k**3 + 9*k**2 - 8*k**2 - 4*k + 24. Let z be j(-6). What is z rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 72)*(1 - (-22)\/8). Suppose 5*r - j = -5*u, -9 = -2*r - 3. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 20)*(12 + 101*z - 12) + 2*z + 5*z - 5*z to q + i*z and give i.\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-4) - 5676\/(-528)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 81*s**2 + 17*s - 13. Is t(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4101695*g**3*v**3 + 13*g**3*v - 3716*g**3 + 39232*g wrt v.\nAnswer: -12305085*g**3*v**2 + 13*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -134, -150?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-12))\/((50\/(-15))\/10*-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93386 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*l + 19, -8*l + 3*l + 3*z = 50. What is the units digit of (-2 - l)\/(2\/274)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 0 + 2*c**2 + 30*c - 9*c**2 + 14*c**3 - 15*c**3 + 4. Let r be o(-10). Which is greater: r or 48\/11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(1900) + sqrt(1900)*-3 + -4 + sqrt(1900))**2 - (sqrt(1900)*1)**2*-5) + -4.\nAnswer: 80*sqrt(19) + 11412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/6 - 4652\/(-13956)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32 (b) 2\/9 (c) 12 (d) 0.5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10944 and 1472?\nAnswer: 251712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*a - 75*a - 311*a**3)*(12*a + 10*a - 14*a).\nAnswer: -2488*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629 is divided by 809?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z - 6*z)*(-2 + 2 + 1)*(-39 - 14 + 111).\nAnswer: -580*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.47 - -0.87. Let j = -2 + 6. Which is the smallest value? (a) -4\/7 (b) 0.3 (c) l (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7942195, 15884390, 23826585?\nAnswer: 31768780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7600 - -10766. List the prime factors of g.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 34*l + 1 - 86 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 9:50 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54789271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2192 is divided by 604.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-6)*i**(-14)*i**(-13)*i**(-7)*i assuming i is positive.\nAnswer: i**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {n: 4, x: 2, k: 1, d: 1, p: 5, g: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*x - 462*x - 385*x + 2014*x - 394*x + 1 - 400*x.\nAnswer: -10*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -32, 13, -278, -18 in descending order.\nAnswer: 13, -4, -18, -32, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q + 119 = -31 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 23685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*r + 688, c - 2*c + 226 = -4*r. Let k = -223 + c. What is the remainder when 33 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -6*s - 53. Let m(y) = -4*y**2 + y + 74. Let z(a) = 4*a**2 - 72. Let c(j) = s*z(j) + 4*m(j). Factor c(o).\nAnswer: -4*(o - 5)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 19 + 7)*(4458*k**2 + 66*k**3 - 4458*k**2) + k**2 + k**3 - k**3 + k**3.\nAnswer: -395*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4037882437 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/10 (b) 0.05985 (c) -3.5 (d) 1\/7 (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111101101001111111101101 - 10?\nAnswer: -1010111101101001111111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570235 is divided by 15002.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*8\/(-36)*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**3 - 3*i**3 + 4*i**3 + (-2*i - 2*i + 3*i)*(3 + i**2 - 3) - 4 + 4 + 4*i**3 in the form g*i**2 + n*i**3 + c*i + l and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1\/6*10\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 196.9*86\nAnswer: 16933.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190806 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -15*j**2 - 112*j. What is the smallest common multiple of 49 and i(-7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8)\/(10\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -156. Find w, given that -w**4 + w**2 + 12*w + 3*w**2 + 5*w**a + w**2 - w**5 - 320 + 316 - 16*w = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3955*b**2 + 4*b**3 + 3964*b**2 - 26*b**3 - 11889*b**2 + 3970*b**2.\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 10:42 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 14*x + 17 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/80762 and 11\/6.\nAnswer: 242286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1305 and 70\/99?\nAnswer: 14355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30012, -120037, -270074, -480123, -750184, -1080257, -1470342?\nAnswer: -1920439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1423 divided by -40232\nAnswer: 1423\/40232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 113448?\nAnswer: 567240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54514 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:23 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 1. What is k(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158420927 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7705 - 2?\nAnswer: -7707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 - 5*g**2 + 8*g - 6. What are the prime factors of x(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2\/8 - 299*c\/8 + 75\/2 = 0.\nAnswer: -300, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 5808 = -0*p. Suppose -p = -14*b + 3*b. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 2277344*c\/5 - 109307904\/5.\nAnswer: -2*(c - 1138624)*(c - 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/3 + 7*h**4\/3 - 7*h**3\/3 - 19*h**2\/3 + 16*h\/3 + 20\/3 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -79*f - 120. Let y(x) = -159*x - 240. Let k(b) = -6*y(b) + 13*z(b). Let g be k(-5). Calculate the highest common factor of 98 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 0. Let w(m) = -177*m**3 + 4*m + 169*m**3 + 1 - 2*m. Give w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 920843317*g**2*r**3 - 5*r**3 - 2*r**2 - 9769369 wrt g.\nAnswer: 1841686634*g*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20153*q**5 - 15*q**4 + q**3 + 4*q**2 + 85508*q + 4 wrt q.\nAnswer: -1209180*q**2 - 360*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -193, -191, -189, -187, -185?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -6925 in decreasing order.\nAnswer: 5, -3, -6925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 1169 + 98. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 0, -p + 5 = -3*k + 2*k. Suppose p*a + 420 = 9*a. Let u(b) = -3*b + 15*b**2 - a*b**2 + 3*b. Let w(z) = z**2. Determine w(u(r)).\nAnswer: 3025*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -22. Suppose -165*d + 170*d + 50 = 0. Let z = x + d. Solve 2*p + z*p = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 689 - 26?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15*g + 50 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 26*k**2 + 48*k - 7. Calculate m(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 - 142. Suppose -6 = -m - 5*y + 2, 4*m = -3*y + z. What is the greatest common divisor of 12 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(209)\/(sqrt(275)*-2 + sqrt(11)).\nAnswer: -1 - sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 236.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/2, 1\/14, -0.2, 5\/1588?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 33*t - 3*t + 140 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001262143 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-30)\/2 - (0 - (17 + -14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1 minus 78.814?\nAnswer: -72.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*s*s**(2\/9)*s*s**(-2)*s*(s**0*s*s)**(-3\/40))**16 assuming s is positive.\nAnswer: s**(2932\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2340 and 17550?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14053\/246 - -12\/41. Let f = r + 57. What is the smallest value in 0, f, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1325, -371 in descending order.\nAnswer: 1325, -2, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -8 - -8 - 21) + 10 + -114.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 2*g**2)*(3 - 1 - 4)*(-2 + 6 - 3).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.5 + -23. What is the third biggest value in -2, 0.2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1023136 divided by 5.\nAnswer: -1023136\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*-3*(sqrt(700) - (1 + (sqrt(700) - sqrt(700)*2)) - (4 + sqrt(700) + -4))**2.\nAnswer: -240*sqrt(7) + 8408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4042 - 3999. What is the highest common factor of 12169 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -312 and -0.004.\nAnswer: -312.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**4\/4 - 5*l**3 + 75*l**2\/2 + 9*l. Solve y(n) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*u - 4*k + 5*k, -u + 3*k = -10. What are the prime factors of 10*((-5)\/(-2) + u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*c - 6. Let p = 1 - c. Let s be 13\/(-84) - 2\/p. What is the third biggest value in s, 0.4, 12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2. Let c be (-79)\/30 + 2 - 8\/(-12). Let t(u) be the third derivative of 0 + 0*u**3 - 2*u**2 + c*u**5 + 0*u**4 + 0*u. What is h(t(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**2 - 11 - 209*d**2 + 11 + 0.\nAnswer: -239*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 - 2411*c\/7 + 96850.\nAnswer: (c - 2086)*(c - 325)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24514136 to the nearest integer?\nAnswer: 4951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 + 2*c**2. Let t be d(-1). Suppose -2*f = i - 15, -t*i + 1 = -6*i. Solve -5*x - 10 = 2*b, -2*x + f = 6*b - 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - -11) + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1224571 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209472545 divided by -41894509.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwlllw. What is prob of picking 1 w and 3 l?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.423 (b) 0.9 (c) -1 (d) 0.2 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 9. Let j be g(-6). Let u = -1 - -11. Let s(c) = 2*c. Let m be s(u). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 23?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + j**4 + 3 - 4*j**2 + 1 - 2 + j**2 in the form z + r*j + s*j**4 + x*j**3 + v*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2826388 to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 3 - (-5 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*k**3*l*o**3 - k**3*l + 7476*k**3*z + k**2*l*o**2*z + k**2*l*z + 7*k*o**2 - 393*l*o**3 wrt k?\nAnswer: -42*l*o**3 - 6*l + 44856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*u + 6*u - 2*u)*(-561 - 522 + 85)*(-u + 5*u - 2*u) in the form k*u**2 + d + z*u and give k.\nAnswer: 5988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-3)\/(-2) + -4 + 2620\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 - 79. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -9. Let q = m + 9.1. Sort -5, q, -1 in decreasing order.\nAnswer: q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/20 + (-218)\/(-72) and -99\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 6:56 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22903 is divided by 3814.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111000 - 10000100?\nAnswer: -111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:11 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31136709*b**4 - 27981991 wrt b.\nAnswer: -124546836*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 111, 259, 457, 699?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/r**4)\/(r**(1\/6)\/r**19) assuming r is positive.\nAnswer: r**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/740240 and -103\/480.\nAnswer: 4441440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 - 15*w**2\/7 + 3*w - 9\/7.\nAnswer: 3*(w - 3)*(w - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a day in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228245?\nAnswer: 5, 191, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 1\/2*p**2 + 1\/2*p + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -1\/3, 3, -1\/5, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/8 and -19\/165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (-60 - 34 - -89)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-673)\/9)\/(16\/(-48)). Let i = w + -222. Let b be (-1 - 1)*(2 + 28\/(-8)). Is b at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d*d**(-7)*d))\/(d\/(d*d*d**(-10)*d)*d))**(-44)*d**9\/(d*d**(-3)\/d)*((d**1*d*d)\/d)\/(d\/((d\/d**5)\/d)) assuming d is positive.\nAnswer: d**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/13 (b) 0 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*2\/(-15)*1740\/522. Let q be (10\/(-15))\/(1\/6). Let v = q - -6. Which is greater: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5\/7, -1, -6?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u. Let f(z) = 16601*z + 4. Calculate f(b(l)).\nAnswer: -33202*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:09 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0 + 7\/6*f**3 + f + 1\/12*f**4 + 5*f**2. Is s(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = 62. Let f = w + 77. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -32913125?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5149 is divided by 2551.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = 16. Suppose m*v = 3*v + 6. Solve -5*t - 2*x = 3*x, 5*x - 12 = -v*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 + 3) - -16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467 - -738. Suppose 435 = 5*y - 5*t, -2*y + l = y + 2*t. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1408)\/(-96)*(-150)\/(-40). Solve 0 = q*x + 7 + 213 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 380 and 380?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - x + 1. Let a(q) = -31*q**2 + 7*q - 6. Let g(z) = -a(z) - 6*r(z). Calculate g(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Simplify (l**(8\/5))**(-3\/38) assuming l is positive.\nAnswer: l**(-12\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5747294.\nAnswer: 2, 7, 43, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.07 (b) -360 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*-1*sqrt(1008) + -5)**2 - ((sqrt(1008) - (-1*sqrt(1008))**2) + -5 + (sqrt(1008) + (2*(0 + sqrt(1008)))**2 - sqrt(1008))).\nAnswer: 1788*sqrt(7) + 223806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7758 + -2638. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/60 - (-3866)\/30 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190654 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*q**3*x - 10*b*q + 205*b*x + 3*q**4*x + 2 wrt q?\nAnswer: 6*b*q**2*x - 10*b + 12*q**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80\/(-15) - -4)\/((-8)\/12). Let y(f) be the second derivative of -1\/4*f**p - 1\/80*f**5 - 3*f + 1\/24*f**3 + 1\/24*f**4 + 0. Let y(u) = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 + 1975*p**3 - 2155*p**2?\nAnswer: -48*p + 11850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4ba92?\nAnswer: 4ba8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from susuunnsssssesesuns. What is prob of sequence sun?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506 divided by -251?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 + -357. What is y rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323312 a multiple of 1741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 - 21*j**2\/2 + 33*j - 30.\nAnswer: 3*(j - 10)*(j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88))\/sqrt(2) - sqrt(352)\/(sqrt(8)*2))\/(-2*-1*sqrt(4) + sqrt(8)\/sqrt(2)*4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2033 - -2036. Solve -5*g - 6*d + 32 = -10*d, -j*d - 9 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/60 + 5*x**4\/8 + 6*x**3 - 28*x**2 + x. Let c be p(-12). Solve c = 7*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 151? (a) -3 (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*p**3 + 10*p**4 + 45*p**3 + (0*p**4 + 3*p**4 - 4*p**4)*(3 - 7 - 2).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63521 (base 7) to base 3.\nAnswer: -210112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-40)\/(-15))\/((-2)\/6). List the prime factors of m\/(-8)*(0 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 9.3?\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 29*l + 95. Suppose l*i = 4*o + 137, 5*o = i - 0*i - 40. Let h = 24 + -14. What is the greatest common divisor of i and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p = 142*p - 604*p - 4401. What is the closest to 0.056 in p, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*l + 8*l - 162 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-1*6)**2*-6.\nAnswer: -227448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let a = -1037\/2 + 481. Let u = a - -209\/6. Is c not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/3)*(d**2*d)\/d)**(-8) assuming d is positive.\nAnswer: d**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (2306031\/63 - (-4)\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/7 (b) -0.14 (c) -2\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100 - 30*i**2 + 2*i - 14*i**2 + 44*i**2 + 69*i**4 + 55*i**4 wrt i.\nAnswer: 1488*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -6 - 8) + (-102 - -123)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7570*t + 12317 - 6159 - 6158)*(-1 + 1 + 2*t)*(-5 + 2 + 1)*(1 + 5 - 3).\nAnswer: 90840*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*f**2 - 925851*f - 677430.\nAnswer: -(f + 22581)*(41*f + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 79698312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5188 and 32.\nAnswer: 41504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181771541 + -95873027. Let h = x + -85898518.7999979. Let l = h - -4.8. Round l to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.203 + -0.197. Let i = o + 1.4. Let j = -0.2 + 0. Which is the closest to j? (a) i (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-8096.\nAnswer: -40480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 2*z**2 + 3*z - 2. Let d be b(2). Let k be (-54)\/15 - (-8)\/d. Sort k, 5, -1, 3.\nAnswer: k, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 4)*(-34)\/(-6). Let b be -2*(2 + k\/2). Let p be 27\/(-36) - 107\/(-4). What is the greatest common divisor of p and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1580*x**5 + 4*x - 143.\nAnswer: -31600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.019 + 3.019. Let i = -0.3 + 2.3. Let w = 3 - i. Which is the nearest to w? (a) -3\/8 (b) -2\/17 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 7*y + 2. What is q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689459149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 61.64642kg?\nAnswer: 61646.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2. Let l(s) = 20*s**2. Let n(a) = -61*a**2. Let w(y) = 8*l(y) + 3*n(y). What is i(w(p))?\nAnswer: -1058*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 31 - 83 = -4*z, z = -3*m - 82. Suppose 0 = 2*a - f + 27, -2*a - 42 = 4*f - 0*f. Let i = a - m. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 10. Let v(w) = 7*w + 10. Let y(a) = 6*j(a) + 5*v(a). Let n be y(-20). Solve -8 = -4*k, -2*s - n = -6*k + 2*k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387 is divided by 15\/(-2)*(-1972)\/170?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + 13. Let j(n) = -18*n**3 - n + 2. Let g be j(2). Let r = g - -154. What is the least common multiple of k and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/5 of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 143*k**2 + 185*k + 15. What is the remainder when s(10) is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/96627292 and 41\/10.\nAnswer: 483136460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) 0.1066 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 15*b**2 + 20*b - 4. Let x be i(14). Differentiate 8*n**3 - 4*n**2 + x*n + 0*n**2 - 80*n + 277 - 14*n**3 wrt n.\nAnswer: -18*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Suppose -a - 4*q = r + 5, 13 = -4*a - q. Let n be ((-12)\/a - 3) + 0. What is the highest common factor of 4 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3172 is divided by 675?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - -1.9. Let k = -1.1 + 0.8. What is the nearest to 4 in -1\/3, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -4577.\nAnswer: 27\/4577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i**3 + 4*i)*(5*i + 2 - 2) - 1 + 1 + i**4 + 7*i**4 + 2*i**4 + 0*i**4.\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/5))**(3\/7))**(-34))**(-4\/7) assuming c is positive.\nAnswer: c**(2448\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-636)\/(-12) + (-7364)\/140)*(-7)\/(77\/240)?\nAnswer: -96\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:05 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 7 (b) -2\/15 (c) 1\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (-2 - (-10 - 16)) + -5\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a year in months?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*n = i - 6, 0 = 2*n + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + l - 62 + 20 = 0, 0 = 5*o + l - 52. Let w = -8 + o. Suppose 4 = -w*s - 4. Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/52? (a) -3 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29150, -53302, -77454, -101606, -125758?\n\"Answer: -24152*a - 4998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 117858*t + 117373. Calculate u(-1).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -995 = -6*i + i. Let b = 5599 - i. What is b rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:55 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -9. Let r = -6 - i. Solve 6 + 8 = -r*n - u, -4*n = -5*u + 26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjj when three letters picked without replacement from {g: 4, t: 1, j: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113230013121 + -10?\nAnswer: -1113230013131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 20*r**2 + 26*r - 51. Let t be q(21). Suppose 0*m - 3*m = -405. Calculate the highest common factor of t and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3491, 3458, 3425, 3392, 3359, 3326?\nAnswer: 3293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w - 2*w - 3*w + (2*w + 0*w + 0*w)*(22 + 43 - 3).\nAnswer: 125*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251193370?\nAnswer: 2, 5, 37, 678901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 16*o + 64. Let a be l(9). Let n(r) = r**3 - 1. Let p(i) = 4*i**3 - 2*i**2 - 5. Calculate a*p(d) - 6*n(d).\nAnswer: -2*d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -147707 + 2806497\/19. Determine w so that 30\/19*w**2 + 2\/19*w**3 - g - 36\/19*w = 0.\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**9\/60480 - h**8\/10080 - h**6\/180 + h**5\/12 - 4*h**2. Let m(j) be the third derivative of t(j). Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -112238, 4, 7, 2.\nAnswer: -112238, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 184\/3949 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -0.2?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:10 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 23*y**2 + 119*y + 1159. Give r(-26).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -424.65552 + 429.37019595. Let d = g - 4.314676. Let w = d + -0.4. Round w to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 18*i - 51856. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = -179*f + 90*f + 96*f for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -8, -7, -4?\n\"Answer: p**2 - 4*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 541 + -547 + 137 + -29?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2703? (a) -1\/5 (b) -3478 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 - 5*h**4\/6 - 4*h**3 - 66*h**2 - 10988*h. Give v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/2)\/3 - 4. Let c(t) = -t**2 + 6. Let s(w) = w**2 - 3*w + 3*w. Let l(u) = i*c(u) + 6*s(u). What is the first derivative of l(p) wrt p?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 + g - 2. Let b be x(5). Let s be 1*2\/(-2)*-2. Suppose -3*o + 9 = -s*f, 8*f - b*f + 2*o = 25. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/91 + 0 + 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -f + 149 + 24, -3*c + 736 = 4*f. Suppose -173*b = -f*b + 248. Let i(m) = m**2 - 6*m + 6. What is the remainder when i(-5) is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 - -162. Let n(b) be the second derivative of -m*b - 1\/6*b**3 - 2*b**2 + 0. Differentiate n(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21.8799cm?\nAnswer: 218799000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/27*(-7 - -4). Put 5, g, -1, 320 in decreasing order.\nAnswer: 320, 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150865*w**3 + 86*w**2 - 605259*w + 3?\nAnswer: 905190*w + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 12:06 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.01. Let r = 4\/4019 + -362074\/365729. Let m = r - -11\/13. What is the fourth biggest value in 5, m, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(84)*2*3 + (sqrt(84) - (sqrt(84) - (sqrt(84) - -2*(sqrt(84) + sqrt(84)*-2)))))\/(sqrt(972)*-4*2))**2.\nAnswer: -5*sqrt(7)\/36 + 5359\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.112 + 0.2?\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 62 - 15 = 0. Let c = g + 50. Suppose c*h - 353 = 145. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -q**4\/4 + 5*q**3\/3 - q**2\/2 - 4*q + 14. Let x be s(3). Suppose -8*z + x*z = 3. Put 2, 0, z in descending order.\nAnswer: 2, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3251109*h + 53633645.\nAnswer: 3251109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/4 + (-4)\/(-18 + 2). Suppose 5*r + 18 + 6 = 2*j, o*r = -4*j + 74. What is the highest common divisor of j and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/30 + n**5\/15 + n**4\/6 + n**3\/3 + 149*n**2. Give i(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/7 + 108*t**4\/7 + 950*t**3\/7 + 2560*t**2\/7 + 2712*t\/7 + 992\/7 = 0?\nAnswer: -4, -2, -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 31\/(-35))\/(4640\/(-11600))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.219 * 135033.\nAnswer: -29572.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.194 - -0.114. Which is the smallest value? (a) -1\/4 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:09 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-28))\/((-30)\/(-217)). Let h = f + -4\/15. Let d = -12466 + 12471. Put h, -4, d in decreasing order.\nAnswer: d, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**3 - 2*n**2 - 3*n - 1. Suppose 3*i - 23 = 5*p, 31*p - 30*p + 3*i + 19 = 0. Let v(s) = 13*s**3 - 7*s**2 - 10*s - 3. What is p*r(w) + 2*v(w)?\nAnswer: -2*w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 457*k**3 + 6*k**4 + 1 - 209*k**3 + 2*k**2 - 215*k**3 as x*k**2 + o*k**3 + z*k**4 + d + w*k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6145 + -0.7145. What is the third biggest value in -5, -471\/7, d?\nAnswer: -471\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2\/3))**(-2\/13)*s\/s**(5\/3)*s*s**15 assuming s is positive.\nAnswer: s**(596\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-1.2.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, -5\/6, 0.04165?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -85087 in increasing order.\nAnswer: -85087, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 - f**2 - 5. Let i(y) be the first derivative of 7*y**4\/4 - y**3\/3 - 9*y - 2244. What is -5*h(a) + 3*i(a)?\nAnswer: a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0558 + 1.4752. What is y rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 88. Let g = -38 + j. Suppose 3027 = g*x - 2881. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763459.\nAnswer: 101, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 35*q**2 - 3333*q + 10376. Determine k(92).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n**3 - n**2 + n + 231. Let u be t(0). Solve -10 = u*z - 221*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -56*i**6\/3 + 16*i**3\/3 - 4*i - 132. What is the third derivative of v(o) wrt o?\nAnswer: -6720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 10*i**2 + 7*i - 7. Let u be q(9). Let h = -14 - u. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, -3, -15, 8 in descending order.\nAnswer: 8, -1, -3, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 89 = -o, 62 + 21 = 2*j - 3*o. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*j - 162951 = 119975, 141450 = 2*n - 5*j. What is the ten thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*j*y - 2*b*x*y**2 + 9*b*y**2 - 40*j**2*x**2 - 2*j**2 + j*x*y**2 + 7*x**2 wrt j.\nAnswer: b*y - 80*j*x**2 - 4*j + x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(12) - sqrt(7) - sqrt(7))*2 + 4 + 6*(sqrt(700) + -3)**2.\nAnswer: -362*sqrt(7) + 4258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.3 - -55. Let w = 0.1203 - -26.4797. Let v = d + w. Round v to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*s + 76. Suppose -2*d + h + 4 = 1, -3*d + s*h - 13 = 0. Calculate the highest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1016*2.1.\nAnswer: -2133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of (-30)\/4*(-136)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 2*u - 13. Suppose -5*k - 3*t + 42 = 0, 0 = -5*t + 24 - 4. Calculate the remainder when b(k) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:26 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31054068.\nAnswer: 2, 3, 653, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 155 + 203 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 17 = 3*m. Let j(u) = u**2 + 2*u - 20. Let w be j(m). Solve -w*t - h = -14, -3*t - h + 8 = h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -20.2. Let i = 17 - 18. What is the second biggest value in -4, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8259\/5 + -1657. What is the common denominator of a and -113\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121 and 3553.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*16.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 16*z**2 - 6*z + 5. Let f be t(-16). Let y(u) = 11*u - 13. Let h be y(-8). Let l = h + f. Which is greater: l or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0\/(-5) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*t + 369 - 284. Which is smaller: 1\/17155 or t?\nAnswer: 1\/17155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4223, -8446, -12669?\nAnswer: -16892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v. Solve -2*a = -4*f - 6*a + 12, 2*f + a - 8 = v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142826687*s**3 + 413810*s**2 + 3*s + 9?\nAnswer: -856960122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*n**3 + 10*n**3 - 75 + 74 + 17*n**3 to c*n**2 + o*n**3 + z*n + d and give o.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 461580 and 81315010?\nAnswer: 487890060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14251949, 14251955, 14251965, 14251979, 14251997, 14252019, 14252045?\nAnswer: 14252075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 825665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -833395*y**5 - y**4 + 3*y**3 - 1263785*y**2 wrt y.\nAnswer: -50003700*y**2 - 24*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 21*s = 5*q + 7, 2*q + 23 = -19*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 + 1286*z**2 - 10342652*z\/5 + 20659592\/5.\nAnswer: -(z - 3214)**2*(z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -659711, -659709, -659705, -659699?\nAnswer: -659691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -5*t**2\/2 - 11*t - 14. Let m be c(-4). Calculate the greatest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**4\/4 - 17*t**3\/3 - 7*t**2 + 41*t - 757. Give o(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 65 + 0 = -5*c, -2*u + 52 = 4*c. Calculate the remainder when 15 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*a + 24 = 0, -4*s - 3*a + 2 = -24. Suppose -u - u + s*w + 25 = 0, 2*w + 10 = 3*u. Solve 2 = -2*d - u*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -196*x + 5*x**2 + 196*x. Let t(g) = -330*g + 11*g**2 + 645*g - 315*g. What is f(t(r))?\nAnswer: 605*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -9*m**3 - 2*m**2 - 7*m + 7. Let t(c) = 8*c**3 + c**2 + 6*c - 6. Let v(o) = 7*t(o) + 6*y(o). What is the third derivative of v(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 1.07 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -21 - 12\/7*o**7 + 0*o**6 + 0*o**2 + 0*o**4 + 0*o + 11\/3*o**3 + 0*o**5. Find the third derivative of s(t) wrt t.\nAnswer: -1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - u + 3. Suppose 0 = -5*y - 5*l + 2*l - 6, -10 = -y + 5*l. Let j be b(y). Suppose 3*q + 5*d = 18, -q + 56 = j*q - 4*d. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-11) + 8\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6898?\nAnswer: 2, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 4. Suppose 4*y - 18 = -u*z, -3 + 1 = 3*y - 4*z. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.559754 weeks to days.\nAnswer: 38.918278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - 6*(-5*sqrt(190) + sqrt(190)))\/sqrt(10).\nAnswer: 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 10*d + 190. Calculate the remainder when 35 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. Let h = 945.41 - 947.41. Which is the third biggest value? (a) h (b) 1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-28 - (3 - 15)) + -5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22) + 795\/561 + 131 + -72 + -62?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/388575 and -38\/529875.\nAnswer: 5828625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 3. Let m be g(-1). Put -7, m, 1 in descending order.\nAnswer: 1, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (2 + (-7 - -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140 - -127) + (-1 + 67 - 7 - (-1 + 9)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*l + 4. Let b(w) = w**2 + 8*w - 9. Let m be b(-9). Suppose o + o = x - 1, m = -o. Put l, x, 0 in increasing order.\nAnswer: 0, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 7*f - 4. Let w be v(-6). Calculate the highest common factor of w and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07813317 + -24.07807577. Let y = h - -24. What is y rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.995671 millilitres?\nAnswer: 0.000995671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303001312 - -11?\nAnswer: 303001323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.36 + -34.23. Which is the closest to -0.2? (a) m (b) 14 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:20 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6889 and 0.32.\nAnswer: -0.220448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100110010001010001 (base 2) to base 5\nAnswer: 20004003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:48 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 4*k + 2 - 3*k)*(7 + 1 - 53) to the form n + p*k and give n.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*c = 109*c + 80 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:04 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 10. Let k(v) = 2*v + 19. Let r(s) = 11*b(s) + 6*k(s). Let c = 20 + -15. Let q be r(c). Solve -o = -4 + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.6 and -18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40025787 is divided by 998.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 12 (c) 0.6 (d) 1872 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + (-22 - -5))*((-1143)\/180 + (-12)\/30).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**4 - 15*a**3 - 27*a**2 - 21*a - 6 = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05468 - -0.02532. Sort 0, b, -1 in decreasing order.\nAnswer: b, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121.35 - 41.04. What is m rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e4b (base 16) in base 12?\nAnswer: -6a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 262731 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1237\nAnswer: -1\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 7 + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9767404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 0. Let n(l) = 5*l**2 - 2*l - 4*l**2 + 7*l - 2*l. Let m be n(v). Which is the third smallest value? (a) -1 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24201 + 61918. Let i(j) = 2*j + 37717 - a. Let k(n) be the first derivative of -16*n**3\/3 + 1. Calculate i(k(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4395\/293)\/((-15)\/(-17))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {v: 2, z: 1, t: 2, g: 1, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -126, 1\/2, 433, -9?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 4:13 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -5a8?\nAnswer: 59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 17 = -4*w, 15*s - 12*s - 5*w = 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353 - 3*g**3 + 1059 + 3*g**3 - 2*g**3.\nAnswer: -2*g**3 + 706","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s + 3. Suppose 3*x = 2*d + 2, 0 = 63*d - 58*d - 5*x - 10. Calculate q(d).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 201 + 0 + 2. Suppose -5*u + f + c = 0, 5*u = -3*f + 221 - 30. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/120 + j**5\/30 - j**4\/24 + j**3\/6 + 7*j**2 - 5*j. Let i(y) be the first derivative of o(y). Calculate i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 68, 93, 118, 143?\n\"Answer: 25*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 50 - 10 = 0. Suppose 0*i = 2*i - 5*p - 75, 2*i - 4*p - 70 = 0. Calculate the remainder when i is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*(-42)\/(-140).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000872846042 to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 21*x + 37. Calculate t(15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 - 15*p - 24. Let s be d(-4). Sort 1\/5, 2\/3, s.\nAnswer: 1\/5, 2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + 7 + (-69)\/12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -413*o + 415*o + 4*q - 22, -o - 5*q + 104 = -5*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let p be r(1). Suppose 2*o = -o + 6. Suppose 3 = o*n - 5*n. Sort 1, p, n in decreasing order.\nAnswer: 1, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k - 2*k + 27*k - 14*k - 5. Let s(v) = -4*v + 16. Suppose 13 = -4*j - 5*g, 5*j + 4*g - 2*g = 5. Give j*s(x) + 10*h(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 13*f - 119. Solve -q = b + 1, -3 = f*q - 2*b + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3143122 (base 5) to base 6\nAnswer: -1044544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9557 and 171.\nAnswer: 86013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1631 (b) 2\/5 (c) -2 (d) 1 (e) 7\/8 (f) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -19\/6*k**3 - 27*k**2 + 0 - 1\/24*k**4 + 0*k - 1\/120*k**5. Let w(q) be the first derivative of l(q). What is w(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -8. Let x = 1.75 - 1.6. Let j = -0.15 - x. What is the closest to -1\/4 in 0.5, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1278630918.0773015562 - -0.0773015562. Let g = u - -1278630645.9999881. Let s = g + 272. Round s to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l = 6711593 - 6710282 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02273802004 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 1097?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101101012 + 102122?\nAnswer: 2101210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 262715 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17886848 = 2*m, 0 = b + 4*b. Let k = m + -4443424. What is k rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 11 = 5*w - n, 2*w + 4*n = -16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 7 + 21. Let v(z) = 5*z**o + 2*z - 7*z - 3 - 6*z**2 + 3*z. Calculate v(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12806 + (-1 - -7))*-175. Round i to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, -4, -2, 4, 1 in decreasing order.\nAnswer: 4, 1, -2, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*i + 2770 = 0, 0 = 5*x - i + 4788 + 2121. Let f = 1970 + x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54223, -108861, -163499, -218137?\nAnswer: -272775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -216, -319, -484, -705, -976, -1291, -1644?\n\"Answer: k**3 - 37*k**2 + k - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1 - 3 + 7*g**2 - g + 13*g + 0. What are the prime factors of z(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 76841, 305235, 685177, 1216667, 1899705, 2734291?\n\"Answer: 75774*z**2 + 1072*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-3)*(-30)\/16. Let i be -1 + ((-28)\/16 - -3). Put p, 0.1, i in descending order.\nAnswer: p, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 60, 69, 82, 99?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**3 - 32*p**2 - 28*p**2 + 59*p**2)*(2 + 5 - 4)*(89 + 8*p - 43 - 47).\nAnswer: 240*p**4 - 54*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(0 - 4 + 0*w - 2*w) - 2*w**2 + 3*w**2 + 2*w**2.\nAnswer: -w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 + 5)*1*-9. Suppose 6*s - 2*s - 14 = -2*f, -3*s + m = f. Suppose 102 = f*a - i, 6 = -i - i. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*r - 6*r**3 + 3*r - 17*r + 2*r**2 to l*r + o*r**2 + s + t*r**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10 - (0 - (-936)\/(-91)). Which is the third smallest value? (a) -0.07 (b) 3\/4 (c) s (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhgkhhhhkh. Give prob of picking 2 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/11 (b) -0.1 (c) -8 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 51*m**2 + 90*m + 352. What is g(49)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116720865 is divided by 148689.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from iiippiiipiiiiii?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5348, -5348, -5346, -5342, -5336, -5328?\nAnswer: -5318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 415469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 454541 + -3181785\/7. Solve -32\/7 - 64\/7*v + w*v**2 + 4\/7*v**3 = 0.\nAnswer: -4, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(8\/5))\/h**10 assuming h is positive.\nAnswer: h**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6039 by -99.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/4 - 20*j**3 - 1069*j**2\/4 - 1359*j\/2 + 2592.\nAnswer: -(j - 2)*(j + 9)**2*(j + 64)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -293*k + 3502. What is z(12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 100 = -45*s. What are the prime factors of (-3 - s\/(-2))\/(2\/4)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - z**2 + 6*z**2)*(2 - 2 - 1) + z**2 + 0*z**2 + 7*z**2 + 2*z**2 - 2 + 5*z**2 - z**2.\nAnswer: 11*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112885 is divided by 56441.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3337994900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llllllllglll.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -63*t + 565. Let n be s(9). Let l = -7 + 4. Which is the nearest to l? (a) -0.1 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*n**2*s**3 - 237*n**2*s + 765*n**2 - 340*n*s**3 - 2*n*s - 35*s**3 - 2*s**2 wrt s.\nAnswer: -54*n**2 - 2040*n - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(10\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7241 - 7171. What is the remainder when 74 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.249 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jolhhjib. What is prob of sequence il?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -206887113?\nAnswer: 206887117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 36644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20456 - -2?\nAnswer: -20454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35622951 * -0.4.\nAnswer: -14249180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 9\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -7\/24*c**4 + 0*c + 0 - 1\/6*c**3 - 4*c**2. Let d be w(-2). Calculate the highest common factor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1, -1\/5, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g + 3. Give c(11).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208183?\nAnswer: 19, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 3. Let v(g) = -2*g**2 + 2*g - 4. Let b(l) = -4*s(l) + 3*v(l). Let d(w) = -w**2 + w. Give b(n) + 2*d(n).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -18743466 to the nearest one hundred thousand.\nAnswer: -18700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 3, 0, -369?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 14. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {p: 2, g: 14, d: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85616, 86202, 87786, 90866, 95940?\n\"Answer: 83*r**3 + r**2 + 2*r + 85530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 23. Let b be j(-9). Suppose 6*f = -b - 17. Let n(q) = -2*q**3 - 15*q**2 - 3*q + 15. Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25611699 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + (-63)\/(-14))\/(12\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 - 3*f - 4. Let b = -5 + 2. Let t be g(b). Which is smaller: t or -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/7)\/(1\/(-6)). Let k be (7\/(56\/(-6)))\/((-2)\/8). Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56828.3*-1.\nAnswer: 56828.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 389191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1200124*i**2 - 22169*i + 12 wrt i.\nAnswer: -2400248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 7, -21, -69, -143?\n\"Answer: -c**3 - c**2 - 4*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - q - 3 + 14, c + 3*q = 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z\/(z\/(z**16*z)))\/z)\/z)*z**(-1\/32)*z assuming z is positive.\nAnswer: z**(-417\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 5*r**2 - 2*r + 7. Suppose -2*l - 64 = 2*h, 3*h + 0*h - 2*l = -116. Let y = h - -41. What is b(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2044, 4185, 6436, 8809, 11316, 13969, 16780, 19761?\nAnswer: 22924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 17 = 5*d, 0 = -3*d + 5*s - 21 + 4. Suppose -4 = -r + d. Solve 2*f - r = -9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 - 23. Solve 4*b + b + i = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427 times -13684?\nAnswer: 5843068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {x: 3, r: 6, a: 1, i: 1, z: 3, u: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 - -143.4. Let l = 1.2 + f. Let q = l + -16.60000127. Round q to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -474 - -492. Let h = -25 + 131. Calculate the remainder when h is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -5*z**8\/336 - z**7\/14 + z**5\/3 + z**2 + 96. Solve d(w) = 0 for w.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3822543690 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 37364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + d + 141 - 726, 0 = d + 5. Calculate the remainder when g is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(1\/6). Suppose -o = -2*d - 30 + 28, 8 = 4*o + d. Suppose 0*k - 4*v + 143 = m*k, o*k = -5*v + 93. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:32 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 124 + 96*l + 241.\nAnswer: 96*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9803995?\nAnswer: 5, 1960799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01662 + -2657.98338. Let s = -2657.998847 - z. Round s to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -12 - (-17 - (4 + 27))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4046\/45 < -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 192.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14294878 divided by -5\nAnswer: -14294878\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 23*v**3 + 6*v**2 + 6*v - 6. Let f(w) = w**3 + w**2 + w - 1. Determine 6*f(c) - u(c).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 9, b: 2}. Give prob of sequence svv.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2254)\/(-21))\/(-23)*1*-3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 1040 = -7661. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*(-2)\/(-3). Let u(w) = 16*w - 1. Let t be u(6). Suppose -s = -2*v - t. What is v rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) -3 (c) 2 (d) -0.2 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86945730*i + 291744448?\nAnswer: 86945730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Suppose 1 = 2*h + 7, -2*c - 15 = 5*h. Solve g*j - 4 = -c*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1337, 1345, 1351, 1355?\n\"Answer: -n**2 + 11*n + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 35603071.\nAnswer: 4\/35603071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17577, 18979, 20395, 21831, 23293?\nAnswer: 24787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 2*d**2 + 3*d**2 + (-3*d + 0*d + 5*d)*(0*d + 0*d + 2*d) + (3*d - 4*d - d)*(0 + 0 - 2*d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 6\/11, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -11 - 1. Suppose w*x - 13 = 2*x. Suppose o - 3*o + 286 = 0. Calculate the highest common divisor of o and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 110. Let g(x) be the second derivative of 1\/3*x**3 + 0 - x - 1\/2*x**2 + 1\/3*x**4. Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/7 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6 + 2*j + 3 - 1 + 4. Let u be y(-8). What is the smallest value in u, 1\/3, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.693 take away -0.5?\nAnswer: -69.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five quarters of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*s*y - 2*b*s - 15*b*y**3 - b*y**2 + 271*b*y - 3*s**2*y**3 - s**2 + 4*y**2 wrt y.\nAnswer: -90*b*y - 2*b - 18*s**2*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + -1 + sqrt(304))**2 - -2*(sqrt(304) + (sqrt(304) + -1 - sqrt(304))**2 - sqrt(304))) + ((sqrt(304) + 1*sqrt(304))*1 + -3)*-3.\nAnswer: -1526 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/14 + 3910\/476?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**6\/2 - 3*f**4\/2 + 3*f**2\/2 + 425. Factor t(q).\nAnswer: 3*q*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 + 3056*b\/11 - 6104\/11.\nAnswer: -2*(b - 1526)*(b - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 + (7 + -6 - -2) + 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756300.\nAnswer: 2, 5, 7, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 - 94 - k**2 + 2*k**2 + 7*k + 96 to r*k + m + j*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16494)\/(-13745)*25\/310?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*c - 3535 - 2152 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)*s**6*s\/s**(-3\/4)*s*s*s**(-5) assuming s is positive.\nAnswer: s**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**7\/42 + 5*u**6\/12 - 13*u**5\/12 - 5*u**4 - 31*u**2\/2 + 26*u + 2. Let d(x) be the first derivative of l(x). Factor d(s).\nAnswer: -5*s*(s - 8)*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 27. Let d be (9\/r)\/(9\/24). Solve z + 5 = d*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -13*x**3 + 53*x**2 - 4047*x + 16181. Calculate m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46836, -188988, -426444, -759198, -1187244, -1710576, -2329188?\n\"Answer: k**3 - 47658*k**2 + 815*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -70597548?\nAnswer: 70597542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 27*s. Let z(t) = 7*t**2 - t. What is z(f(x))?\nAnswer: 5103*x**2 - 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z + 31*z - 3 - 16*z**2 - 10 + 45*z**3 - 46*z**3. Let u be f(-18). Solve -2*b - u*h + 22 = 0, h + 7 = -5*b + 4*h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*u - 10, -7 = -p + 5*u + 3. Suppose p = -y - 2. Let w = 3 - y. Which is the closest to -1? (a) 2\/3 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = i - 176. Calculate the smallest common multiple of i and ((-130)\/(-30) - 5)*-6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - u)*(2*u + 0*u + 0*u) + 3*u - 3*u + u**2 + (-3*u + 2*u - 2*u)*(-u + 4*u - 2*u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/7911 and -1\/443895?\nAnswer: 3995055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1639, 432, -1573, -4382, -8001, -12436, -17693, -23778?\nAnswer: -30697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -30\/13 (b) -0.11 (c) 2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - ((-20 - -31) + -13) - 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbibbiiiibib. What is prob of sequence bi?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647505 a multiple of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -120. Is j <= -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 2*u**2 + u + 1. Let g be j(1). Which is the closest to -7? (a) 7 (b) g (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**7\/294 - 2*x**6\/35 + 29*x**5\/140 + x**4\/7 - 2*x**3\/3 + 159*x - 1. Suppose z(r) = 0. Calculate r.\nAnswer: -14, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.1 (b) -5\/4 (c) 2\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 22*u**2 - 47*u - 3. Let l be r(19). Suppose 79 + l = 7*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = 20. Which is the closest to -0.3? (a) x (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -693?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -56*z + 6. Let q = -49 - -44. What is the units digit of l(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((1 - 3) + (2 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, and 2 q when four letters picked without replacement from {v: 5, h: 2, n: 7, q: 3, o: 1}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 268290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Let l be x*1\/3*-1. What is the tens digit of 469\/21 + l\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**8)*q**(1\/3))\/(q**(1\/37)\/(q\/(q\/(q\/(q\/(q\/(q*(q**13\/q)\/q*q))*q))))) assuming q is positive.\nAnswer: q**(-521\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 9*l + 2. Suppose -2*a - 3*m - m = -18, -4*a + 36 = 3*m. Let w be k(a). Let q(n) = 0*n**3 + 3*n**3 - 2*n - w*n**3. What is q(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 17053\/2263?\nAnswer: 17053\/2263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -1145?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 237 and 153102?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 2*z + 345 = 0. Suppose -3*u - 1236 = -2*s, 19*s = z*s + 5*u + 2472. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15762387, 15762388, 15762389, 15762390, 15762391, 15762392?\nAnswer: 15762393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*u - 495 - 72. List the prime factors of (0 - 2989\/u)*9.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.015\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 5*r - 2*y, r - 3*r + 69 = 5*y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:37 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**45*k*k*k)**(-1\/37)*(k**19)**46 assuming k is positive.\nAnswer: k**(32287\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041352 rounded to three dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-170)\/45 + 3 + 1. Let p = -0.1 - 0.9. Which is the second smallest value? (a) p (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1)*v)**(-2\/3))**(-30) assuming v is positive.\nAnswer: v**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + k**2 + 5*k - 4. Let q be b(3). Let x = q + 10. Solve x*v + 12 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j - 164. Let y be q(-20). Put y, -1, 1, 3 in increasing order.\nAnswer: y, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-6*(sqrt(52) - (sqrt(52) + sqrt(52)*-4))*-4)\/((sqrt(432)*1)\/(sqrt(12) + (sqrt(1200) - (sqrt(1200) - sqrt(1200)*1 - sqrt(1200))))))**2.\nAnswer: 5870592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-33)\/15 - -2). What is the biggest value in h, 11, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4933 or -15634?\nAnswer: 0.4933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 43 + 168*g + 27)*(-3*g**2 + 3*g**2 - 2*g**3).\nAnswer: -336*g**4 + 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, h: 6}. Give prob of sequence ffhh.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(8\/(-12)) + -3 + 141. Let n = 141 + y. List the prime factors of n.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/3))*z*z)\/z**4)\/(z*z**(1\/4))**(-27) assuming z is positive.\nAnswer: z**(385\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 12*l + 10. Let m be b(-8). What is the units digit of m\/(-4)*(-6 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -149*t**3\/6 + t**2\/2 - 998*t. Let h(k) = 6*k**2. Calculate b(h(i)).\nAnswer: -894*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*a = -2*b + 12, -2*b - 5*a = -15. Suppose b = 4*i - 2 + 6. Let z = i - -10. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6564 + 6570. Calculate the smallest common multiple of 3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d + 15. Let g(z) = 33*z - 27. Let x(p) = 4*g(p) + 10*j(p). What is the first derivative of x(u) wrt u?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 + 2846*r\/3 - 2380.\nAnswer: 2*(r + 714)*(2*r - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17882477.8538 - -17880984. Let f = -1494 - k. Let j = f + 0.16. What is j rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144bb (base 12) in base 3?\nAnswer: -222201120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/139805 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**4 + 12*p**3 - 6*p**2 - 7*p + 7. Let u(o) = -o**4 - 6*o**3 + 3*o**2 + 4*o - 4. Let a(d) = -4*n(d) - 7*u(d). Factor a(k).\nAnswer: 3*k**2*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9bcc8 (base 15) to base 2.\nAnswer: -1111001000000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2007092508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r + 174. What is the remainder when 11 is divided by n(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b + 17080 = -76*b. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97557 * 4\nAnswer: -390228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*82)\/(-2) + 0. Suppose 0 = -2*r + 6, -4*g - 3*r = -5*r - a. Let y = g - 2. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 28*k**3 - 3*k**2 + 15*k - 1. Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 7*w**2 - 6*w + 2. Let c be q(-6). Let s(n) = 0 - 7*n**2 + 0 + 8*n**c. Let a(u) = 11*u. Calculate a(s(t)).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 16 = -4. Find the third derivative of -7*k**l + 422*k - 21*k**4 - 422*k wrt k.\nAnswer: -504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 593 + 860 - g + g - 14*g in the form z + j*g and give z.\nAnswer: 1453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 481703 or 481704?\nAnswer: 481704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 1340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 4)*(o + 2*o + o)*(2 - 2 + o) as u*o**2 + w*o + f and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 167 + 10*t**2 - 9*t**2 - 127 to g*t + x + p*t**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*j = 49*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -717456 less than or equal to -717467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*i + 3*k - 6, -12 = 4*k. Let t be (-3 - -3)\/i + (3 - 1). Solve 5*q + 22 = -n, -5*n + 20 = -t*q + q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28263\/8 or 3534?\nAnswer: 3534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79 and -89.\nAnswer: -7031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1526.2131 to the nearest integer.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(243) - -2*sqrt(243)) + sqrt(243) + (sqrt(243) - (sqrt(243) + -1)) + -5 + sqrt(243))*4)**2*1.\nAnswer: -8640*sqrt(3) + 97776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4235 + 3.11697\nAnswer: -4231.88303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(-1 + 2*(-4*sqrt(1331) + -1 + -1 + (sqrt(1331) - (sqrt(1331) + 3)))))**2.\nAnswer: 7744*sqrt(11) + 341216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.14, 0.06, 9, 421?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q, -20*b + 17*b + 10811 = 5*q. What are the prime factors of b?\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/10)*v)\/v**(-10))**(-21) assuming v is positive.\nAnswer: v**(-2289\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-12)\/7) + 18\/63. Suppose -5*h = 16*a - 13*a - 2344, -i*a - 4*h + 3128 = 0. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48851 to two dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7051257 rounded to the nearest 1000?\nAnswer: 7051000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.177118um?\nAnswer: 0.000002177118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 2029 + 1695 = 0. Let y be (-14)\/a - (-1 + (-114)\/14). Solve 0 = 3*s - 0 + y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(3\/16)*(q**2\/q)**(-3\/22)*(q**2\/q**(-6\/5))**0 assuming q is positive.\nAnswer: q**(-45\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 16, 21 = -5*q + g + 5. Let x be q\/20 + 12\/(-15). Suppose w - 81 = 4*s - 34, 2*s = -4*w - 10. Sort s, 0, x in descending order.\nAnswer: 0, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211195 is divided by 4137.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**2 + 31*j - 14. Determine h(-5).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = 5. Let j = 6 + o. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1211 + 0.0789. Is 0.014 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in 0.3, -1\/6, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13152 by -274.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 7*o - 14. Let k be r(-7). What is the units digit of ((-33)\/(-6))\/(6\/k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1753095?\nAnswer: 3, 5, 73, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-14)*k*k))\/(k**(-1\/9)\/k))\/(k*k\/((k\/k**(1\/3))\/k))**34 assuming k is positive.\nAnswer: k**(-848\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(78) - (sqrt(78) + (sqrt(78)*-1 - sqrt(78)) - sqrt(78))*-6 - sqrt(78))\/sqrt(6) - (sqrt(208) + -1 + -2 + 3))*5)**2.\nAnswer: -3200*sqrt(13) + 83600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -286 divided by 1\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43238218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1 + 2*f**2 - 7*f**2 - 2*f + 0*f**2. Let b = 6787 + -6785. Suppose 19 = -5*a + 4. Let o(y) = -6*y**2 - 3*y + 1. Determine a*m(l) + b*o(l).\nAnswer: 3*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d - 0*d. Let z be ((-10)\/(-15))\/(d\/(-6)). Solve -y = -0 - z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 76*c**4 + 9*c**3 - 213*c**2 - 5. Let f(y) = -38*y**4 - 4*y**3 + 107*y**2 + 2. Let n(s) = 5*f(s) + 2*h(s). What is the third derivative of n(o) wrt o?\nAnswer: -912*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 314*b**2*m**2 - 2*b**2*m + 8460*b**2 + 266*b*m**2 + 15*b*m - m**2 + m wrt b.\nAnswer: 628*m**2 - 4*m + 16920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 754, 1676, 2966, 4624?\nAnswer: 6650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 88 = 2*f + 4*j, 0 = 3*f + j - 136. What is the greatest common factor of f and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - u - 3*u + 3*u - 2. Let y be (11 + -2)\/(-3) - -10. Let l be -4 - (-8 - (3 - y)). Calculate w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-299649)\/9012*(72\/21)\/(-1).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/55 and 26\/755.\nAnswer: 8305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2352)*-2 + sqrt(48))**2 + sqrt(48) + -2 + sqrt(1728).\nAnswer: 28*sqrt(3) + 8110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let b(c) be the third derivative of c**5\/30 - c**4\/24 + c**2 + 17. Give b(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35982153.\nAnswer: 3, 59, 67763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-28)*(-12)\/(-1)*84\/(-72)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2*6\/(-5). Suppose -16 = -3*x + g, 4*x - 38 = c*g - 5*g. Suppose 5*z = -2 + x. Calculate the lowest common multiple of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 1919.5476.\nAnswer: 767.81904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/347 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 4) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrr when three letters picked without replacement from {x: 1, r: 2, s: 3, e: 8}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f**2 - 291*f + 1106. What is the tens digit of b(77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 42 + 2. Let o = 33 + s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/564 and 149\/76752?\nAnswer: 3607344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 838787581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 5*w - 2*w)*(-47 - 5 - 68) in the form n + p*w and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19390 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/175)\/(1 + 9\/(-10))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*j = -93, 2*t + 187 = 7*t - 3*j. Suppose -5*k + 3*p = 6*p - t, 0 = -5*p + 25. Calculate the remainder when 47 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d - 3. Let f be 2\/(-3) + (340\/(-30) - -8). What is s(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-104)\/16)\/13*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*q - 1194 - 810 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o = 48*o, b - 529 = -o. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 + 11*r - 9. Let j(o) = 15*o**2 + 23*o - 17. Let y(q) = 5*f(q) - 2*j(q). Let a be y(7). What is the highest common factor of 27 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - 2 + 4 + 2*s**4 + (-3*s**3 - 15*s + 15*s)*(-2 + 9*s + 2) - s**4 - s**3 + s**3 + (-2 + 2 - 1)*(-3 + 3 + s**4).\nAnswer: -27*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9934373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 4. Let n be k(-4). Let s(x) = 0*x + x + 6 - n + 0*x. Suppose 0 = 2*i + 3*w + 2*w + 10, -22 = -2*i + 3*w. Calculate s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from dijdzize?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - 0) + 4 + (-138)\/23. Let x(z) = 2*z**2 + 24*z - 60. Determine x(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 (base 13) in base 4?\nAnswer: 22301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1015741 is divided by 1878?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1 - 9 = 0. Suppose 10 = y*l - 75. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96424219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 32*x**2 + 105*x + 13. Let y be p(-35). Suppose -5*l = 5*r + y + 17, -4*r - 21 = 3*l. What is the third biggest value in 4, 0.28, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -25, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0*b + 0*b + 2*b. Let f(a) = 11*a - a + 0*a. Let h(j) = 4*j**2 - 523*j + 387. Let i be h(130). Give i*f(r) + 14*p(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-330) - -1*16\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*332\/2)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**3\/7 + 758976*c**2\/7 - 53133291*c\/7 - 53892266\/7 = 0?\nAnswer: -759046, -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j**3 - 7*j**2 - 7. Suppose -2*d = -3*d - 5*g + 20, -g = -4. Let r(i) = -2 - i + i + d*i - 2*i**2 - 3*i**3. Determine -2*q(k) + 7*r(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -20, -3 in ascending order.\nAnswer: -20, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + 1134\/(-36))*(-30)\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, g: 2, u: 4, f: 1, d: 1}. Give prob of sequence iuud.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 611599.\nAnswer: -1834797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbt when three letters picked without replacement from cccbtccccctcb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/15))\/r*r)**15\/(r\/(r**10*r))**(-4\/15) assuming r is positive.\nAnswer: r**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 - 30 = 0, -5*j - i + 15 = 0. Let x be ((-75)\/(-6))\/((-6)\/(-12)). Let m = x + -17. Solve 0 = 4*t + 5*f - 35, -2*f + 8 = j*t - m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c + 6. Let h(v) = 44 - 31*v + 5*v + 6*v - 48 + 14*v. Calculate h(g(j)).\nAnswer: 96*j - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k = 610. Suppose -l + 31 = -2*r, 3*l = 8*l + r - k. Differentiate -l - 2 + 9 + 14*h wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 101. Find the third derivative of -16*c**3 + 33*c**3 + 16*c**2 + 0*c**m + 22*c**3 wrt c.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 9:01 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 186495.\nAnswer: -3, -1, 186495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) - (-1 - 13806\/12) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + -1. Let a(c) be the first derivative of c**3\/2 - c**2\/2 - 38*c + 102. Let q(s) be the first derivative of a(s). Calculate q(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtkd when four letters picked without replacement from {t: 3, y: 2, w: 2, k: 3, d: 3}?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 147291375?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -16*w**2 + 15. Let l(i) = -2*i**2 - 2*i + 1. Let n(x) = -4*l(x) + o(x). Calculate n(-3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19257585 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1101817*b - 2203609. Calculate n(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64398 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -68040286.\nAnswer: 6\/34020143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n - 34. Let w be j(-14). Let t(h) = -8*h - 12. Calculate t(w).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -11. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-4)\/(8\/(-22)) + -5 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*d = -39, 0 = -5*z - 5*d - 16 - 19. Let x = 2 - z. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 7534036*n**2 - 30136132*n + 30136128 = 0. What is n?\nAnswer: 2, 7534032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -6*m**7\/7 + m**5\/5 - 50*m**3\/3 + 60. What is the third derivative of c(s) wrt s?\nAnswer: -720*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**5\/60 - v**4\/6 - 5*v**3\/6 + 3*v**2. Let w be c(5). Let s = 1129 + -1128. What is the closest to s in -13, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(128 - 30 + 66)*(2*p**3 - 14*p**3 - 3*p**3).\nAnswer: -2460*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 82543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 4*g = -20, -g - 165 + 173 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/2)\/((-220)\/330).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 567059377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + (sqrt(425) - sqrt(425)*2)*-6*1)**2.\nAnswer: -60*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1271*q - 41. Let u(y) = -61*y - 2. Calculate -4*n(j) + 82*u(j).\nAnswer: 82*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.1 (b) -1\/5 (c) -0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504\/(-90) + (-2)\/(-5)*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 27 + 23. Let i = c + 135. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*((-3 + 3 - i**2)*(i**2 + i**2 - i**2) - 2*i**4 + 0*i**4 + i**4 - 3*i**4 + 2*i**4 + 2*i**4).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**2 + 239*u**2 + 271*u**2.\nAnswer: 472*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 3 + s + s in the form d + b*s and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -8 - (-19 + -71 + 46)) + -13.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 2, n: 4, y: 2}. Give prob of sequence ww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18051, -0.4, 3, 0.5, -0.1, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 2*g**5\/5 - 2*g**3 - 5*g. Find the second derivative of p(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.5 - 2. Let f = 825520 + -825517. Which is the nearest to -0.1? (a) -5 (b) h (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 113 + 15 - (-22 - -21 - (4 - 0)).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2769.62 to the nearest ten.\nAnswer: -2770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-32)*2*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26147 + -2.923.\nAnswer: -26149.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 9:19 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(7) + sqrt(80)*-3.\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -589496 divided by -4.\nAnswer: 147374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63216*m**3 - 17935?\nAnswer: -189648*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*b + 2*b + 130 = 0, 0 = -x - 2*b + 125. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1179, -4677, -10501, -18651, -29127, -41929, -57057?\n\"Answer: -1163*q**2 - 9*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - 1. Is 9 a factor of (l\/(-9))\/((-1)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*l = 19*l + 8*l + 1044 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7385 - -7387. Solve 5*u = -4*b + 30, 18 - j = 2*b + 3*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4\/9, 12, 5.\nAnswer: 4\/9, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(10)*-2) + -2 + (sqrt(176))**2.\nAnswer: -sqrt(11)\/2 + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32120024 (base 6) to base 4.\nAnswer: 3212112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -143344110?\nAnswer: -143344104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 14) in base 2?\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r + 1. Let o = 7 + -7. Suppose 12*v - 7*v = o. What is j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 12. Suppose -4*s + 1 = -5*s. Let l be ((-2)\/4 + s)\/m. Which is greater: l or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*q + 136 - 46*q - 10*q - 2*q**2)*(4*q**2 - 2*q**2 - 3*q**2) to f*q**3 + r*q**2 + c + d*q + m*q**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - 9*d - 164. Let z(n) = -4*n**2 - 11*n - 163. Determine -5*t(q) + 4*z(q).\nAnswer: -q**2 + q + 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8239889, 8239891, 8239893, 8239895?\n\"Answer: 2*w + 8239887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 24. List the prime factors of (-8)\/(-1 + y) - -11.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -7*x**3 + x**2\/2 + 6*x. Is a(-1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + 1*sqrt(125) + sqrt(125) + 2)**2.\nAnswer: 40*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29961 = 25*d + 29836 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12) + (-1 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*c + 24, 2*c + 15 = 2*b + 5*c. Differentiate -5*r - 2 - 12 + r**b - 9 with respect to r.\nAnswer: 3*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1166 - -116223. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*(-728)\/12. Let a = -64 + z. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (-14 + -2 + 16 - (-1 + 2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -545.12?\nAnswer: 5451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1923, 1817, 1711, 1605, 1499, 1393?\n\"Answer: -106*v + 2029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.603 * -0.1.\nAnswer: 0.3603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1935981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4 = -2*q, 3*v = -5*q - v - 4. Solve n + 2 = -q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**4\/6 + 64*h**3\/3 + 66*h**2 + 784*h - 2. Give z(65).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p**2 + 3*p)*(p**3 - 1 + 1) + 4*p**5 - 3*p**5 - 5*p**2 + p**5.\nAnswer: 5*p**5 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(4) - sqrt(49))*-1 - ((sqrt(196)*1 + sqrt(196) - sqrt(196))\/sqrt(4) - sqrt(49)))\/(sqrt(252) + -3*3*sqrt(252) - sqrt(252)) + 4 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 152 - 136. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*i*j**5*p - i*j**2 + 8*i - j**4*p + 6*j**2*p + 5*j*p wrt j?\nAnswer: -12840*i*j**2*p - 24*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 + 7*a**2 - 686*a - 1382. Give j(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -1623*g**5\/10 + 1205*g**2\/2 + 3252*g. Differentiate w(m) wrt m.\nAnswer: -9738*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39457719 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 252*a.\nAnswer: a*(a - 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - y + 1. Let u be o(-2). Let x = 1 + u. Let b be 2\/1 + 2 + x. Solve -a = b*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 381 - 172614?\nAnswer: -172253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 95683.02um in kilometers?\nAnswer: 0.00009568302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/3 - (-6)\/3. Let b be 3 - 2 - (3 + x). Suppose -5*o + 2*m = 16, -78*o = -76*o + 3*m + 14. Sort o, -7, -3, b.\nAnswer: -7, b, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 e, and 1 y when four letters picked without replacement from xyxyymemimmyeiix.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*r**3*t**3 + 27*r**3 - 1412*r**2*t**3 wrt r.\nAnswer: -36*t**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 316 by 4.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 9*i**2 - 6*i - 12. What is the tens digit of y(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1089\/2 (b) -4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3426363 is divided by 669?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(200)*-4 - sqrt(200))**2 - sqrt(200))*2 + -1 + ((sqrt(200) - (-3 + sqrt(200))**2) + sqrt(200))*5 + (sqrt(200)*-4 + sqrt(200))**2 + 0.\nAnswer: 380*sqrt(2) + 4354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(-34)\/(-85) + ((-78)\/7)\/(-3). Which is the closest to 0? (a) 1\/7 (b) t (c) 16 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1.6 (b) 0.1 (c) 2.4 (d) -5\/3 (e) -83\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -3, 154 in increasing order.\nAnswer: -46, -3, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (350\/(-4))\/((-1)\/2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9)*2\/(4\/(-99)))\/(3\/(-4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(152)*6*-2)\/(2*-6*(sqrt(72) - sqrt(72)*5)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**4 + h**3 - 8*h**2 - h + 5*h**4 - 1 - 5*h**4 to the form n*h**4 + l + v*h**2 + p*h**3 + u*h and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = -14*g + 1008. Solve -g - 83 = 25*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 36241*p + 2785. Is r(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:14 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8320, -8331, -8344, -8359, -8376, -8395, -8416?\n\"Answer: -d**2 - 8*d - 8311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*p - 2278 = -433*p - 398*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*p + p + 6, -4*k - 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 - 13*n**5\/60 + 7*n**4\/12 - 3*n**3\/2 + 5*n**2. What is the remainder when 38 is divided by i(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j + 2*b + 16, 8 = -j + 2*b. Let m be ((-3)\/6)\/(1\/j). Suppose 1 = m*p - 11. Solve 0 = -2*l - p*r - 1 - 1, -5*l = r + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 + 18*x**2 - 49*x - 4. Let s be i(4). Which is bigger: -100 or s?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*d - 21, -3*q - d = -2*d - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 11\/2 (b) -102 (c) -2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4454 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:34 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5 - 0. Suppose 4*o - 3*i + 4*i = s, -o + 5*i = 4. Put o, 0, -5 in ascending order.\nAnswer: -5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -29*g + 18*g. Sort 0, 4, g in descending order.\nAnswer: g, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/6 + 24253*a**4 + 1764624027*a**3\/2.\nAnswer: a**3*(a + 72759)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*c - 60 - 11 = 0, 2*w - 3*c = -35. Let b be (-2)\/w + (-120)\/(-65). Suppose 2*x + 2 = -4*i, -b*i + 3 = 4*x - i. Let s(l) = 7*l. What is s(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43632 - 15283. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*l + 130, -4*q + l + 278 = 3*l. Suppose -39 = -2*b + q. Suppose 154 = -9*o + 20*o. What is the remainder when b is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + 6 + (11 - (3 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -548 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 3. Let m = 9 - 16. What is the units digit of q(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v + 8*v - 8 + 2*v. Let l be q(-11). Solve -4*x + l*x + 4*a + 2 = 0, -2*x = 4*a - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -41, -58, -75?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5*c - 3*c)*(7*c - 1013 + 1013).\nAnswer: 14*c**2 - 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 3) in base 10?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5550617 and 1?\nAnswer: 5550617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8718 and 66883043.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02638 - 46.97362. What is the closest to -0.1 in r, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -2 + sqrt(363))**2 - sqrt(363))*1 + 0 + sqrt(288)\/(sqrt(6)*-2).\nAnswer: -57*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3161760 - 0.107.\nAnswer: -3161760.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 460\/6*(15\/10 + 0). What is the greatest common divisor of s and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 4632?\nAnswer: 125064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*-1*((-54)\/3)\/(-36)*1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-10\/13)*y**18)\/(y*y*y\/y**(4\/3)*y)**(-2) assuming y is positive.\nAnswer: y**(880\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59096355.\nAnswer: 3, 5, 191, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 450 = -10*k. Let w be (1 + 0)*(-1 + 31). What is the greatest common divisor of w and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.046875 and 96.9?\nAnswer: 96.853125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**3\/6 + d**2 + 57628*d. Let v be (-1 + 3)*(2 - 4). Give h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.055815 millennia?\nAnswer: 90.55815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**10*q*q)\/(q**(-13)*q))\/(q**(-5\/4)*q\/q**(1\/4)) assuming q is positive.\nAnswer: q**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10148 (base 9) in base 16?\nAnswer: -1a1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.2, -64, 20\/7, 1\/32, -2.\nAnswer: -64, -2, 1\/32, 0.2, 20\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**2 + 3*c + 2094*c**4 - 58 - 2161*c**4 + c - 22 wrt c.\nAnswer: -804*c**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2430) - (sqrt(2430) + (sqrt(2430) - (sqrt(2430) + -3*sqrt(2430))))) + sqrt(2430))\/(sqrt(216)*-4*-2).\nAnswer: -21*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 4*y - 9. Calculate k(-8).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90661.\nAnswer: 17, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 995*i + 20891. Give o(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -122, -168, -204, -230, -246, -252?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let q(r) = 3*r. Let w(k) = 12 - 18 + 2*k - 135*k + 6. Let t(z) = -285*q(z) - 6*w(z). Calculate b(t(x)).\nAnswer: 114*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690, 532, 270, -96, -566, -1140?\nAnswer: -1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, h: 3, n: 4, d: 1, u: 4}. What is prob of sequence chd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -2. Let t = -6 + a. Let x = -3.99988 + t. Round x to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 10*c - 3. Let t be d(10). Let n be (8\/(-1 - t))\/1. Let o = -3 + n. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 14*m - 420. Let c be l(32). Solve 7*u = -7 - c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 12:07 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5023427378*r**4\/9 + 3348817940*r**3 - 35171208422*r**2\/9 + 2806696*r\/3 - 56 = 0.\nAnswer: -7, 6\/50117, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2649575*p. Let x(z) = 4*z**2. Give s(x(g)).\nAnswer: 10598300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -773937?\nAnswer: -773942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 2, 1\/3, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3722805 - -180.3823805. Let z = -180 + i. Round z to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(228) - sqrt(228)*1*-5) + sqrt(228) - (sqrt(228)*-1*6 + sqrt(228))))\/((sqrt(108)*-2*2)\/(sqrt(108)\/sqrt(3))))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.156 and 23991030.0147.\nAnswer: 23991030.1707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0*t**(-5))**(-18) assuming t is positive.\nAnswer: t**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*i + 133, -231 = -7*u + 5*u + i. Let t be 38\/12 - (-4)\/(-24). Let o = u + t. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49352 is divided by 11806.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*t - 2 = -16, -24 = -2*p - 3*t. Let a = 12 + -10. Let b(r) = 11*r + 0*r + 14*r - a*r. Let u(i) = -4*i. What is p*b(x) + 34*u(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 5*f - 4. Let v be j(-3). Suppose -1474*h = 2*r - 1473*h + 10, 35 = -3*r + h. Sort -1, r, v, -2 in increasing order.\nAnswer: r, -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12824, -25815, -38802, -51785?\nAnswer: -64764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1848 divided by -3.\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -5*u - 6, -a = 2*u. Calculate the least common multiple of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 times 51.92\nAnswer: -1090.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*s - 55*s - 437. Which is smaller: s or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -27*p + 0 - 1\/3*p**3 + 6*p**2 = 0?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -37651, -0.5 in decreasing order.\nAnswer: -0.5, -6\/5, -37651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -103?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 17*g + 1. Let h be n(17). Let u be h\/(1\/15*3). Let y be 2\/(-4)*(-1)\/(10\/40). Solve 3*r = u - y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fggzzgpgzgghfww. What is prob of sequence wh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/198099 and -101\/132066.\nAnswer: 396198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**25*g**(2\/9)*(g**(5\/7))**(-6\/7) assuming g is positive.\nAnswer: g**(10853\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 185.846\nAnswer: -14.86768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*z**2 - 4*b**2 + 721*b*z**3 - 2*b*z**2 + 12246*b*z wrt z?\nAnswer: -4*b**2 + 4326*b*z - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r\/r**(2\/25))\/r))*r)**1*(r*r**(15\/8)\/r)**0)**(-7\/6) assuming r is positive.\nAnswer: r**(-161\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10 - 3 - 14 + 15 - 26*x. Calculate the lowest common multiple of 42 and n(-3).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1093608 and 60024.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 18*d + 5*y = 52, -2*d - y + 149 = 0. Suppose 74*j = d*j - 15. Which is the nearest to 5? (a) -5 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**8*o**(5\/8) assuming o is positive.\nAnswer: o**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**2 - 1\/6*k**4 + 0 + 0*k**3 - 3*k. Let b(t) = -3*t. Give b(o(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -312303 (base 5) to base 13\nAnswer: -4916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121221212 - 0?\nAnswer: -2121221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*j - 369, 4*w = w + 2*j + 1063. Suppose -2*q - w = z, 0*z - q + 1763 = -5*z. Let r = 906 - z. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -14*z - 98. Let q be x(-8). Solve -11*r = -q*r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 + 414168*w - 414172 = 0?\nAnswer: -103543, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -57. Let g be f\/(-1)*9\/(-45). Which is the nearest to -0.1? (a) -1\/2 (b) 1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((6\/(-15))\/(2\/(-10)))*9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j + 3. Let b(p) = 8*p + 4. Calculate -6*b(g) + 7*l(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 6*c + 3. Let m(p) = -3*p**2 - 7*p + 3. Let s(h) = -3*b(h) + 2*m(h). Let i(u) = 2*u - 5. Let t be i(4). Is 14 a factor of s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153 + -1948?\nAnswer: -17b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 255 = -4*j - 30, -2*j = 3*z - 135. Suppose 24 = 4*q - 2*q. What is the highest common factor of j and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/6 + 905*z\/3.\nAnswer: 5*z*(z + 362)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (12\/(-78) + 960\/(-13)). Let g = 65 - z. Let h(y) = 5*y - 1. Calculate h(g).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 7. Let x be u(-8). Suppose -4*k = -4*i + 64, -6 = -k - 3*i - 18. Find the common denominator of -10 and 38\/k + 6\/x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -572653 not equal to -572611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-22)\/88) - 44)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*q - 40 = 0, 6164*k - 6161*k + 5*q - 35 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -55 + (7 - 7)*(-1 + 2). Let w be 33*(-8)\/(-6)*j\/(-22). Suppose -2*y - 2*l + 142 = 0, -y + w = 3*l + 29. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170092*b**4 - 30989*b + 1 wrt b?\nAnswer: 2041104*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*((s*s**(2\/5))\/s)\/s)\/s**(1\/4))**(-2\/59))**(-43))**(-42) assuming s is positive.\nAnswer: s**(-2709\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddgggdgggdgdggggg. Give prob of picking 1 g and 2 d.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/373 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/6 + ((-476)\/51)\/(-7). Determine o so that 2\/7*o**u + 4\/7 - 4\/7*o + 1\/7*o**4 - 3\/7*o**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -391, -1553, -3495, -6217, -9719, -14001, -19063?\n\"Answer: -390*t**2 + 8*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184825455239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3031.\nAnswer: -5\/3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dllllxeekkldxjeel. Give prob of picking 1 e and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -4*q, 11 = 4*q + 5*y + 13. Suppose 9 = -3*i, 0 = -q*k + 4*i + 600 - 38. List the prime factors of k.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -34*s + 3. What is the hundreds digit of t(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 67, 126, 201?\n\"Answer: 8*n**2 + 19*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 434225 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5 - 140. Let v(b) = -2 - 7 + k - 8*b + b**2. Let h be v(4). Solve 5*t = 20, 4*y - h*t + 8 = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from {m: 2, y: 1, n: 3, q: 1, e: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5162\/15 - 344. Which is the nearest to 0.1? (a) m (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337508433?\nAnswer: 3, 41, 914657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g**4 + 0*g + (-7*g**2 + 14*g**2 - 5*g**2)*(g**2 - 5*g**2 + 3*g**2) + (0 + 0 + 2*g)*(2*g**3 - 2*g**3 + g**3).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.13 + -0.07. Let p = 18 - 32. Let k be (p\/(-147))\/(2\/(-6)). Which is the smallest value? (a) -1\/7 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267\/1408 - -1\/128. Let z = 14859.4 + -14859. Let f = 12 - 7. Sort z, o, f in ascending order.\nAnswer: o, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188599 is divided by 6286?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 41. Let s(f) = f**2 + 8*f + 2. Let l be s(-7). Sort 3, l, n in ascending order.\nAnswer: l, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -40 (b) 10 (c) 1\/2 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5168293 or 0?\nAnswer: -1\/5168293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2694 (base 10) to base 12.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/74605 and 16\/3243409?\nAnswer: 697332935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1775 - -1784. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.22 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - -242*4\/240. Let n(v) be the third derivative of -b*v**5 - 2\/15*v**3 + 0*v - 2*v**2 + 7\/60*v**4 + 0. Factor n(s).\nAnswer: -2*(s - 1)*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 0.4 (b) -3 (c) 2\/15 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.382 - 1.582. Let j = -6.7 + 7. Put j, -8, w in decreasing order.\nAnswer: j, w, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 3*a**2 - 4*a**2 + 0*a**2 - 2*a**2 + 4*a**2 + (-2*a**2 - 2*a**2 + 2*a**2)*(0 - 2 + 1))*(a**2 + 2*a - 4*a + 3*a**2).\nAnswer: 20*a**4 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 - 48 = -4*q. Let y be (-1 - 19055\/526)\/((-45)\/q). Let t = y + 1\/789. Calculate the common denominator of t and 85\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*i*j**4 + 468*i*j**3 - i*j**2 - 5*i*j - j**3 - 1267*j wrt j?\nAnswer: -264*i*j + 2808*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20116 and 1692.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 12 + 9. Suppose t*q - 4*q = 27. Calculate the lowest common multiple of q and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, k: 4, q: 7}. What is prob of picking 2 q?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1259 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 plus -439652154?\nAnswer: -439652191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70.890956 from -3118.\nAnswer: -3188.890956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007000661 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {q: 10, s: 6, y: 4}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**5\/20 + 9*i**4\/4 + 14*i**3\/3 + 2*i**2 + 15*i. Let u be c(28). Solve -2*j + 0*j - u = -2*p, 5*j = -p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 8 = 11*u. Suppose -m - u = -5. What is i in 1\/3*i + 0 + 2\/3*i**2 + 1\/3*i**m = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/1246082729?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 50, 107, 198, 329, 506, 735, 1022?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*(o**(1\/4)\/o)\/o*o*o*o))\/o**23 assuming o is positive.\nAnswer: o**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-60) - (-18)\/10. Suppose 21 - z = c. Solve 5*o - c = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffjjfjjjjffffjj. What is prob of picking 4 f?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 6*o + 175. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200299 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75567019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 1. Suppose -p + 29 = 5*k - 2*p, 8 = k + 2*p. Let g(b) = 1 - 4*b + 3*b - 4*b. Let c(n) = k*g(n) + 11*a(n). Differentiate c(l) with respect to l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2. Let t(q) = -319211*q**2. Calculate s(t(x)).\nAnswer: -305686987563*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1154\/12)\/((-27)\/(-162)) - 0. Let d = 1230 - a. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -2, -10, -18, -26?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - u = u - 875, -4*x + 693 = 3*u. Let m = x - 713\/4. What is the closest to 3 in 4, 5, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/120 + f**5\/60 + 3*f**4\/8 - 3*f**3\/2 + 1536*f**2. Suppose n(d) = 0. What is d?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3652, -3654, -3656?\n\"Answer: -2*v - 3650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 39 + 8*a**3 - 21.\nAnswer: 6*a**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -8 + 9 + -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -1031\/5, -10, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -1.9. Let w = -8 - -5. Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/105 - 13*s**6\/20 + 89*s**4\/24 - 55*s**2 - s. What is the second derivative of y(k) wrt k?\nAnswer: 24*k**2 - 468*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5 + 2 + 1 - 2*k. Suppose 0 = 49*z - 50*z + n + 15, 0 = z - 4*n - 30. Suppose -3*v - 2*u + 25 = 5, -v = 4*u - z. What is h(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35c (base 14) to base 8.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*8\/600*-7*12\/42.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 + 4*v - 4. Let w(o) = -7*o**2 + 17*o - 7. Let f(l) = 3*l**2 - 7*l + 3. Let m(p) = -5*f(p) - 2*w(p). Give -2*m(i) + z(i).\nAnswer: -5*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33668327 and 0.15.\nAnswer: 5050249.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.33886 plus 5?\nAnswer: 24.33886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 16*m - 2 + 0 - 502*m**4 + 503*m**4 in the form q*m + i*m**3 + x + f*m**4 + z*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-3*-1*sqrt(1152) - sqrt(1152)))\/(((sqrt(756) - (sqrt(756) - 2*sqrt(756)))\/sqrt(12))\/(sqrt(7) - sqrt(56)\/sqrt(2)))*-1)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 7*o. Let s be a(-8). Let k = s - 4. Let x be 7*(2 - (-2)\/(-7)). Solve x = 2*l + k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17813 - -18920. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from deedgde?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39856853263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 80*v - 3*v**2 + 4*v**2 - 6*v**2 - 320 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 64175 = -39907. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 376212 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, l: 5, s: 8}. What is prob of sequence ss?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -958 by -307.\nAnswer: 958\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(3 - 63\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -30*w**2 + 1328*w - 2916. Give n(42).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + -4?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0205 - 0.04. Let l = 0.13148 - 0.19517. Let m = s - l. Round m to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26271 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8288*j**3 - 2*j - 8284*j**3 - 12*j**4 - 8*j**4 in the form t + d*j + i*j**3 + w*j**4 + y*j**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 0*l**2 - 62\/21*l**7 + 0*l**3 + 127*l + 55\/12*l**4 - 2 + 0*l**6 + 0*l**5. Find the third derivative of t(v) wrt v.\nAnswer: -7440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -136 - -954\/7. What is the second biggest value in -0.09, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnvnvv. Give prob of picking 3 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**2 - 11601668 - 11601676 + 23203344.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + a**2 + 4. Let x be d(0). Let c(f) = 6*f + 48. Let m be c(-2). Calculate the highest common divisor of x and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1232 + 7409*v - 2454 + 1224.\nAnswer: 7409*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -95*m**3 - m**2 + 5*m - 3. Determine t(1).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 103*w**5\/10 + 677*w**4\/12 + 28*w**2 + 5. Find the second derivative of l(y) wrt y.\nAnswer: 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (30\/((-41580)\/9163) + 11\/6)?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*m*n**4 + 32*m*n**2 - 92*m*n + 3*m - n**4 wrt n?\nAnswer: 96*m*n**2 + 64*m - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*a = 125. Suppose 2*o = -2 + 14. Suppose a = -x + o*x. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. Let f be 0 + 5 + 8\/s. Suppose z - 24 = -f*z. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -557594 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43 + 2303?\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 1*sqrt(78))\/sqrt(2) - sqrt(624)*2)\/(-1*sqrt(48)*3).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4822, -9646, -14470?\n\"Answer: -4824*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1723 + -3.7723. What is the fourth biggest value in 7406, -0.5, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 1. Let u(m) = -12*m - 4*m + 4 + 23*m. Let o(v) = -4*b(v) + u(v). Let t(p) = 2*p. Determine t(o(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 536\/(-10) - 12\/30. Let a be -3*284\/x - 2\/(-9). Is ((-638)\/(-3))\/(a\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)\/((-6)\/4). Let r(z) be the first derivative of z**4\/4 - z**3\/3 + 2*z**2 - 5*z + 110. Calculate r(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**5\/60 - 3*d**2\/2 + 1. Let m(x) be the second derivative of f(x). Let s(w) = -2*w. Give m(s(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 392 + -388. What is the remainder when 9 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1224\/163951 or 1?\nAnswer: -1224\/163951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x - 1. Let m be 10\/(-4) + (-6)\/(-12). Let z be m*(-1)\/(-3)*3. Calculate t(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 11 + (2 - -5) + -8 - (0 - -59)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955, -1314, -1673, -2032, -2391?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 132 + 3*m**3 + 39 + 30 + 35 + 21.\nAnswer: 3*m**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.041536 - -347.4.\nAnswer: 347.358464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/sqrt(160) - (6*(-2*sqrt(13) - sqrt(13)) + sqrt(13)).\nAnswer: 69*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 1568891 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-594))\/((-1)\/(-1))*-87. Is x > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 369, 1440, 3215, 5694, 8877, 12764, 17355?\n\"Answer: 352*q**2 + 15*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1132, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0 (c) 217 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -6*t + 50. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 3555410.\nAnswer: 10666230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1820447 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 26556*z - 26557.\nAnswer: (z - 26557)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 206, -126, -2, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 229 - 124. Let t = h - 53. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4785*q - 1900*q + 93987 + 280373 = 0 for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1466544?\nAnswer: 1466538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2*(-83749)\/178. Let q = d - 939. Solve 0 = -4*g + 8, -4*t - q + 12 = g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3 - s + 2 + 1. Let h(f) be the third derivative of 0*f + 0*f**4 + 9*f**2 + 0 + 7\/20*f**5 + 0*f**3. Determine h(o(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s - 22. Let p(g) = -5*g - 23. Calculate 4*i(t) - 3*p(t).\nAnswer: 3*t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjapaprjjaj.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 34*g - 4. Let i be r(-27). Let b = -294 - i. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let p = 24.8 - 19. Let y = p - 6. What is the biggest value in 1, y, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1571 divided by 2.\nAnswer: -1571\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 24286 + 15*v**2 - 12145 - 12141. Let k(t) = 3*t**2. Let i(r) = -13*r**2. Let h(j) = 2*i(j) + 9*k(j). Give h(x(m)).\nAnswer: 225*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1234233 by -1233.\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 24. Suppose -2*p = p - t - 59, 1 = p - b*t. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*r + 10*r. Suppose r = -158*b + 163*b - 215. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -3*v + 1\/5*v**5 - 2\/15*v**6 - 2\/3*v**3 + 0 + 1\/3*v**4 + 0*v**2. Find w, given that i(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5553161, 5553179, 5553199, 5553221?\n\"Answer: n**2 + 15*n + 5553145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 392*n + 1557. Let a be w(-4). Solve x = 2*h - 5, 0*h - 5*h = -a*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 1\/180*j**6 - 1\/6*j**4 + 1\/90*j**5 + 0*j**3 + 0*j + 4*j**2 + 0. Suppose t(z) = 0. What is z?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*4\/6)\/((-1)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + -1 + 5 + 4. Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70205 - 3130?\nAnswer: -73335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -13 (b) -0.11 (c) -2 (d) -0.127 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15375 divided by 25?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 476.5016nm in meters?\nAnswer: 0.0000004765016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/48 - w**3\/6 + 19*w. Factor o(p).\nAnswer: -p*(p + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -91*n + 848. Give a(11).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6479753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*j = j - 69, 3*r + 3*j - 45 = 0. Let n = -17 + r. Let c(h) = 9*h. What is c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-14))\/(4\/(-21)))\/((-93456)\/(-528)).\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 2 - 2)*((2*h + 0*h + 0*h)*(-1 + 0 - 3) + 0*h - 4*h + 3*h) to the form q*h + a*h**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201535073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 4\/4)\/(8\/20). Calculate the remainder when 125 is divided by (848\/h)\/(-4) + (-12)\/(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81\/74 - 2081\/296. Let l be (1014\/(-16773))\/((-24)\/(-3209)). Let r = l - 1\/11182. Calculate the common denominator of k and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -16*y**4\/3 - 260*y**3 - 192*y**2 = 0.\nAnswer: -48, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 + 12*n + 0*n - 14*n in the form j + u*n**2 + p*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 686*b**3\/5 + 132612*b**2\/5 - 2026504*b + 272231968\/5.\nAnswer: (b - 428)*(b - 86)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 849110 and 400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223740, 223739, 223736, 223731, 223724, 223715, 223704?\nAnswer: 223691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13715*y**3 - 864*y**3 - 7959*y**3.\nAnswer: -22538*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 41990 = 4*n, 0 = -b + 4*n + 12674 + 8339. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -18757*b + 862809. What is m(46)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 108*i**2 - 27*i - 30. Let g(d) = 216*d**2 - 55*d - 61. Let h be ((-96)\/72)\/(((-8)\/(-9))\/4). Let b(w) = h*g(w) + 11*l(w). What is m in b(m) = 0?\nAnswer: -4\/9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-15) + (-32)\/(-10). Suppose 2*w = 6*w - 4. Put -5, w, a in descending order.\nAnswer: a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98194 and 2342.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-48)\/(-18) - 2)*(-4 + 103) and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9713\/1462 + -4\/5117. Suppose 17 = -4*p + 1. What is the common denominator of (-47)\/2*p\/8 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 710*g**2 - 252050*g - 89477750\/3.\nAnswer: -2*(g + 355)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.2 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - (-2867)\/329. Let l = 2 + 28. Suppose -4*p + k*p = l. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -8*l - 2492. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from smmpmjsjjpmbpmpmmjm.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 107*u. Let b(n) be the first derivative of 4*n**2 - 4075. Determine b(o(r)).\nAnswer: 856*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + -3 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:26 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e87 - -5?\nAnswer: -3e82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 749, 1455, 2123, 2753, 3345?\nAnswer: 3899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/19 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66219, -131702, -197223, -262800, -328451, -394194, -460047, -526028?\n\"Answer: -3*m**3 - m**2 - 65459*m - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*-1*5 - sqrt(425))**2*5*5.\nAnswer: 382500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 30. Let z be ((-4)\/(-6))\/(k\/12). Is (-3204)\/z - 4 - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.60876cm in meters?\nAnswer: 0.0660876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 961162.2 microseconds to minutes.\nAnswer: 0.01601937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 69697.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*o = 8629, -2*o = g + 468 - 2197. Calculate the highest common divisor of g and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 8.5, -4, 1, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 65 = 7*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 6*n**2 + 145*n + 2856. Give p(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -26)\/(2\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2481, -4400, -6321, -8244, -10169?\nAnswer: -12096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + ((0 + (1 + sqrt(2448) + sqrt(2448) - sqrt(2448)) - sqrt(2448) - (5 + sqrt(2448)*1 + sqrt(2448) - sqrt(2448)))*-4 + 3)**2).\nAnswer: 5472*sqrt(17) + 118587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -1\/11 (b) -2\/21 (c) 0.04 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1513*q**3 + 339*q**2 + 6*q + 8. Let p(u) = -2*u**2 - u - 4. Let h(s) = -2*p(s) - y(s). Find the third derivative of h(i) wrt i.\nAnswer: 9078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -9\/7, 131, -2?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 s when three letters picked without replacement from swswwsswsnswswn?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134865468781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*r + 17 = 0, -4*o - 21 = -5*r - 0*r. What is the units digit of (-6*o\/(-2))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05401168 to three dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:27 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y**2 - y**2 + (y - 5*y + 3*y)*(0*y - 3*y + 5*y) + 253*y - 2*y**2 - 253*y - 213.\nAnswer: -5*y**2 - 213","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 3465*f**2 + 289*f**3 - 302*f**3 + 3435*f**2 as n*f**3 + q*f + g*f**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/605)\/(28\/((-2100)\/45))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 201? (a) -0.4 (b) -9 (c) 356\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**(-21))**(-21\/4) assuming y is positive.\nAnswer: y**(-441\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j - 26*j + 9*j - 17 + 13*j. Let c be u(5). Calculate the common denominator of -123\/10 and 38 + c + -4 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15967 = 5*t - 5761, -3368 = -q - 4*t. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*s = -19*s - 60515. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 4*v + 4. Let d be g(-3). Let b be 0 - 3\/(-21) - (-2010)\/42. Suppose b = -n + d*n. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**2 + 0*w + 3*w**2 + 3*w. Let g(r) = -2*r**2 + 8*r. Let d be 2 + 3 + -2 + 5. Let c = -7862 - -7859. What is c*g(q) + d*a(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-6)*(-4 - -2). Let q(x) = x**2 - 12*x - 12. Let o be q(w). Let m be 1\/1*o\/35. Is m bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1212 - -0.7193. What is h rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 9*s**4\/7 + 686829*s**3\/7 - 1831608*s**2\/7 = 0.\nAnswer: -76317, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 7. Let m(z) = -2*z**2 + 8*z + 15. Let x be m(8). Let k = x + 69. Suppose -3*u = -3*h - 30, -3*h - k = 2*h. What is n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 52644*a**2 - 679120029*a + 363111825874.\nAnswer: -(a - 514)*(a + 26579)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*l**2 + 9*l**2 - 22*l**2 to the form b*l**2 + o + c*l and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48, 5, 2, -2\/5?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 162\/270*280\/21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -5 in increasing order.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79 - -90) + -2 + (-2 - -1) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - 2*r**4 - 3*r**4)*(1162 - 2*r - 1189 - 1761).\nAnswer: 4*r**5 + 3576*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313493.\nAnswer: 67, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 8*u**2 + 6*u + 8. Let s be b(9). Let w(i) = -i**2 - 18*i + 3. Let t be w(s). Let n = t + 19. Solve 5 = n*o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 1. Let b be a(0). Which is smaller: 2\/81 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4, -4*h - 3 = -2*l + 1. Suppose h = -3*q + 199 + 23. Suppose -3*m + 34 = -q. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 135*d**3 + d**2 - 4*d + 4. Let i be p(1). Suppose 0 = -5*y - 3*y + i. What are the prime factors of (-1)\/((-2)\/4*2)*y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2304502866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - (-8481)\/(-7080). Let r = j + -1\/472. What is the common denominator of -39\/100 and r?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*m**3 - 9*m**3 - 3 + 8 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/13 + -107\/117. Let s = -2.98 + -0.02. What is the nearest to -0.1 in 1\/9, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39379822*q*w**3 + 4*q*w - q + 2*w + 1446679 wrt w?\nAnswer: -236278932*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-14))\/((-1)\/1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + 34 = 14*d + v, v = -3. Let h(l) = -l + 37. Let w be h(d). Solve w = 3*u + 17 - 32 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b + 2500 = -97*b. Suppose 4*r - b = 2*j - 1474, -4*r + 942 = 2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1771*f**3 + 8811*f**2 - 2*f. Let o(k) = 8853*k**3 - 44059*k**2 + 11*k. Let g(p) = 2*o(p) + 11*w(p). What is the third derivative of g(t) wrt t?\nAnswer: -10650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104922669 to the nearest integer?\nAnswer: 10243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -3*g**5\/4 + 2*g**4 + 2*g**3 + 2*g + 2. Let k(x) be the first derivative of l(x). Factor k(b).\nAnswer: -3*b*(b - 2)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:29 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393916*i**2*w**2 + 7*i**2*w + 5*i**2 + 31*i + 8*w + 2 wrt w?\nAnswer: 787832*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63076605.\nAnswer: 3, 5, 59, 263, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 (base 8) in base 3?\nAnswer: 21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 21*n**2 + 36*n - 38. Let l be u(-19). Which is the nearest to l? (a) -0.3 (b) -0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w + 183 + 1721. Does 14 divide w\/(-4) - (-2)\/12*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 63\/(2*1\/102). What is the hundreds digit of (-4)\/(-5) - (6 - a\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52468963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/8 - 1\/8. Let l = 47 + -42.4. Let j = -5 + l. What is the second smallest value in 0.3, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*a + 6. Suppose 3*u - 30 = r + 2*r, -4*u + 4 = a*r. Is 603\/r*(-56)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 + 27 + -14 - -2047938 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*g + 7281*g - 31*g**2 + 53*g**2 - 24*g**2.\nAnswer: -2*g**2 + 7606*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231436 (base 9) in base 4?\nAnswer: 201321303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4, -5*v - 16 = u - 3*u. Suppose -4*g = -5*n + 1, 1 = 2*n - u*g - 5. Which is the nearest to -1? (a) 0.06 (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 57\/19 - 44\/21 - 1. What is the third smallest value in a, -0.5, -3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -16*v + 18*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 69834*q - 406398963.\nAnswer: -3*(q + 11639)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1836b4 - 9?\nAnswer: 1836a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063523361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7505 (base 10) to base 5\nAnswer: 220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l - 45*l**2 + 3 + 23*l**2 + 4*l + 40*l**2. What is the tens digit of d(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/1115345 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bd0b (base 14) to base 15.\nAnswer: -2dcb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(3) - (2 + sqrt(147))) + 3 - (5 + sqrt(12)*-2)) + -4)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 275507 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2640687.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 348765531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:10 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -730+4262618211\nAnswer: 4262617481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 + 195*t - 619. Is c(76) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - (-70)\/25 - 2\/(-4) and 43\/(-5) + 3\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 51*y**4\/4 + 47*y**3 - 6*y**2 - 180*y + 2964. Factor g(j).\nAnswer: 3*(j - 1)*(j + 2)*(17*j + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2268 is divided by 282.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1540 - 1472.1. Let n = -68.5416 + m. What is n rounded to 2 decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/93 (b) -0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b - 24. Let d be s(-6). Suppose -d*i + 8*i - 160 = 0. Let v(j) = -j**2 - 7*j - 2. Let c be v(-3). What is the highest common factor of i and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 29*h + 1. Let n(t) = -t**2 - 15*t + 1. Let d(i) = -11*n(i) + 6*s(i). Let m = -41 + 35. What is the units digit of d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 81*y**2 + 4*y - 3. What are the prime factors of f(3)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*j - j. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 32012100223030?\nAnswer: -32012100223101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 9. Let h be q(7). Suppose h*n - 308 = -0*n. Calculate the highest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*s - x + 96, -5*x = -3*s + 72. What is the first derivative of -23*g**4 + 46*g**2 - 17 - s*g**2 - 22*g**2 wrt g?\nAnswer: -92*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 12151?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10012202 - -11001120?\nAnswer: 21021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 116305990 divided by -5\nAnswer: -23261198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(245) - (1*sqrt(50))\/sqrt(10))**2.\nAnswer: 24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y**2 + 2*y. Let k(h) = 44*h**2 - 2*h - 3. Let u(a) = j(a) + k(a). Let z(m) = 81*m**2 - 11. Calculate 22*u(s) - 6*z(s).\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-66) + 12988\/6303\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 100*x + 10. Does 11 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**3*w + 2428*b**3 + 267*b**2*w**3 wrt w?\nAnswer: -2*b**3 + 801*b**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.371 + -10.85. Let i = -0.24 - u. Round i to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/9 + 23522*z**2\/3 + 69133110*z - 4358844350\/9 = 0?\nAnswer: -17645, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1550 (base 7) to base 4.\nAnswer: 21233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -993220*x**5*y - x**5 + 431*x**2*y + 2*x**2 - 9*x*y + x - 720*y wrt x?\nAnswer: -59593200*x**2*y - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/144 and -77\/54.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 359691495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*d = 140*d - 80 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 768030*w**3 - 768030*w**3 + 9 - 5*w - 2*w**4 + 2*w**2 + 5*w in the form n*w**3 + m*w + f*w**4 + t*w**2 + q and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + p = 2*g - 14, p - 40 = 4*g. Let m = -17 - -10. Let t = g - m. Let r(v) = -v**2 + 2*v + 1. Calculate r(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 24*k - 11*k to f*k + m and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12282 and 40\/21.\nAnswer: 85974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 2, -5, 0, 0.08, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -24113?\nAnswer: -24113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, and 1 q when three letters picked without replacement from {z: 1, l: 1, q: 1, t: 1, v: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 23*d + 24.\nAnswer: -(d - 24)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -157, -239, -321, -403?\n\"Answer: -82*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 74894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 328 (b) 3\/4 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {n: 1, l: 2, y: 1, t: 1, k: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 36*x - 148. Let m be z(-12). Let f = 0.03 - 0.13. Which is the nearest to f? (a) -3 (b) m (c) -21\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02745151 times -0.09\nAnswer: 0.0024706359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5237 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*d)*(100*d - 19*d - 4*d) to the form b + x*d + r*d**2 and give r.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 1. Let y = 43 + -37. Let k(v) = -2*v + 5*v - 4 - v + 3*v. Give y*g(i) + k(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:58 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.8 + -6.207.\nAnswer: 12.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 8:44 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, j: 2, x: 1}. Give prob of picking 1 n and 1 x.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/16 and 67\/126.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 = -18. Let m be 36 + 36\/(-3)*(-3)\/6. Let o(p) = 3*p**2 + 8 + p**3 + 25 - 5*p**2 + 2*p - m - 6*p**2. Give o(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11343 - 11308. Are a and 539\/16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let p be y(-6). Let l be 3*2*2\/p. Let j = 7 + l. Solve j*b - 3 = -8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-166)\/(-166))\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/22917 + -2177147\/366672. Find the common denominator of 2\/(-6) - (-286)\/(-12) and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 + -1.9. Which is the closest to 0.1? (a) r (b) -1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 5*o**6\/6 - 7*o**5\/5 + 90*o**2 + 92. What is the second derivative of i(w) wrt w?\nAnswer: 100*w**3 - 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80890 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76189106?\nAnswer: 2, 7, 71, 76649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 184542*r - 2951904.\nAnswer: -3*(r + 16)*(r + 61498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 - 5 = 0. Let d = -32 + 52. Calculate the highest common factor of g and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 243250 to the nearest 1000.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10\/150*12*10\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/3 + 6688*i\/3 - 4456 = 0.\nAnswer: 2, 3342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 7 = -2*v. Find the second derivative of -v*l**3 + 4*l - 4*l - 2*l - 6*l wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 + 2. Let j be b(4). Put -3, j, -2 in increasing order.\nAnswer: -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -797700 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143067.\nAnswer: 3, 103, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*256\/144*18\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102054b (base 13) to base 10\nAnswer: -4884839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.2. Let y = 0.6 + 0. Let q = 2.4 + y. Are q and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(605) - (2*sqrt(605)*3 - sqrt(605)))*-1)**2.\nAnswer: 87120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**2 + 1. Let v(b) = 603 + 39*b**2 - 166*b + 83*b - 603 + 83*b. What is k(v(r))?\nAnswer: -156*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*c + 9. Let p be 1565\/15 + (-6)\/c. Suppose -4*l + l = -p. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -29. Sort o, 5, -2 in increasing order.\nAnswer: -2, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -64. Let t = y - 4. Solve 6 = -k - 4*n + t, -4*k + n + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-8)\/10)*(-3)\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.37935 plus 81?\nAnswer: 514.37935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505629*k**3 + 6067542*k**2 + 18202572*k - 216 = 0.\nAnswer: -6, 2\/168543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 2*h**2 - 23*h + 61. What is x(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42580483, -85160986, -127741493, -170322004, -212902519?\n\"Answer: -2*m**2 - 42580497*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = 0. Suppose -2*y + y + 460 = t. Round y to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 0 = -2*r - 4, 5*r + w + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 9*n + 784304 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7463251166?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131431 + 2322?\nAnswer: -124104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/37161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**2*o**3 - 647*f**2 + 6*f*o**3 + 2*o**2 wrt o?\nAnswer: -18*f**2 + 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*((-2*sqrt(243))**2 + sqrt(243)) - (sqrt(243) + (1 + sqrt(243) + 2 - sqrt(243))) - (-5 + sqrt(243)*-1 + 5)**2).\nAnswer: -3642 - 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2825 and 1017.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720714 and 15594?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -9*b**4\/4 + 7*b**3 + 72*b**2 - 336*b - 2056. Factor s(a).\nAnswer: -3*(a - 4)*(a + 4)*(3*a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4786, -9450, -14192, -19012, -23910?\n\"Answer: -39*z**2 - 4547*z - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 = -34. Let u be (-38)\/(-14) + 6\/21. Suppose 0 = u*y - 4 - 2. Solve 4*i - y = c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130078 and 0.5.\nAnswer: 65039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 329*b - 649*b + 320*b - 2967*b**2 as w*b + d + a*b**2 and give a.\nAnswer: -2967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2958.341 + 5.659. Let c = a - 3167.1. What is c rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1689 = -115*q + 91*q + 587*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -149 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1242 and 227\/6090.\nAnswer: 1260630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 317 by 1652.\nAnswer: 317\/1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(7\/3)))**(-42) assuming p is positive.\nAnswer: p**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b + 2*b - 180 = 0. What is the remainder when 52 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4476 and 519114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 55. Let b be t\/14 - 6\/(-21). Suppose -11 = -p - b. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 5 (c) 0.02 (d) 0.3 (e) 180\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/16 and -17\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727531, -727537, -727547, -727561?\nAnswer: -727579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572117 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 + -5.87. Let m = 5 + s. Let h be ((-2)\/48)\/((-218)\/654). Which is the fourth smallest value? (a) h (b) -1\/2 (c) m (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 30*l - 1. Let a be x(-1). Let k = a + 34. What is the greatest common divisor of k and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 442, 1611, 3304, 5311, 7422, 9427, 11116, 12279?\n\"Answer: -35*n**3 + 472*n**2 - 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(3\/7))\/u)**16)**27 assuming u is positive.\nAnswer: u**(-1296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + d - 14886, -52415 = -5*j + 2*d + 22050. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - (8 + (-3 - -1) + -186 + 194)) + -4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 m, and 1 f when four letters picked without replacement from ifiixxiiimxixixiiimm?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 74195 + 74*t - 37004 - 37191. Let n(r) = 1 - 1 + 2*r. Determine v(n(h)).\nAnswer: 148*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 458 + -247. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -87)*140\/44.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:08 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125\/84 + -9\/28. Sort 5, a, 0.5, 3\/2 in descending order.\nAnswer: 5, 3\/2, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.496 - 37.504. Which is greater: z or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4853*f + 810*f + 2004*f + 219*f to m*f + k and give m.\nAnswer: 7886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9636 + 4*s**3 - 19267 + 9631.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 169*f + 998 - 2350 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18*r**2 + 7*r + 10. Let a(w) be the third derivative of -w**5\/5 - 5*w**4\/24 - 7*w**3\/6 - 618*w**2. What is -7*a(p) - 5*c(p)?\nAnswer: -6*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 15\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((55\/30)\/11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7.4 and -3404.\nAnswer: -3411.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885343807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*o = -526, 22*k + 4*o + 96 = 21*k. Sort k, 0.5, -0.4.\nAnswer: k, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/10 + 6\/(-6) - -3. Determine k, given that z*k**3 - 2\/5 - 6*k**2 + 14\/5*k = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 24.6. What is the biggest value in h, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x - 4. Let z(g) = g**3 + 8*g**2 - 2*g - 12. Let y be z(-8). Let i be f(y). What is the units digit of 3 + -1 + (2 - i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16a + 10b45c?\nAnswer: 10b5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 231.0000522 + -231. Round u to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 - 263*y**4 - 6217*y**3 - 2378*y**2 + 14936*y - 6080 = 0. What is y?\nAnswer: -20, -2, 1\/2, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.1, 0.3, 303, -0.1, -2, 1\/5 in ascending order.\nAnswer: -2, -0.1, 1\/5, 0.3, 7.1, 303","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000700749 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237 - 573 - 474 = -81*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00143786 to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2676*b = 1293*b + 1320*b + 1449 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -58\/49 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.69 + -181.69. Let i = r - -176.34. What is i rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -25*b - 7*b - 207 + 5*b - 7*b + 3*b. Let y be v(-7). Solve p - y = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/12 + 5*a**3\/3 - 5*a**2 + 2*a + 11. Calculate the remainder when (-6 - 0)*23\/(-2) is divided by d(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 3, 4.\nAnswer: -4, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -q + 6*q. Let m = q - -8. What is the closest to 1 in -2\/11, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 185*c + 4. List the prime factors of o(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*i - 82, -2*d + 64 = 5*i + 6. Suppose -4*o = -12 - d. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(2*-2*11\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*z - 1)*(-3 - 3 + 5) - 13294*z + 27751*z - 10836*z as a + h*z and give h.\nAnswer: 3619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-60)*-18 + (-132)\/(-165) + 8\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:17 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26984861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.23 (b) -64\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*m + 3*k - 1051, 0 = -m - 5*k - 191. Let u = 368 + m. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -562697, -1125564, -1688429, -2251292, -2814153, -3377012, -3939869?\n\"Answer: r**2 - 562870*r + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from bbxxxxxxxbxbxxxbxxxx.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6\/101 + -160\/707. Let d = -7 - -4. Let g = 2 + d. Which is the smallest value? (a) g (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 12 = 3*v. Calculate the smallest common multiple of v and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**5\/15 - 5*i**4\/2 - 24*i**3 - 30*i**2. Let r(z) = 0. Calculate z.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, 0.8, 5, 18, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.5 + -32.924. Let w = -4.5 - f. What is w rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267.8 - -11.2. Let x = i + -279.4. Let g = 1 + -1. Which is the second smallest value? (a) g (b) 5\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3176 >= -3839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r**(-1))\/((r*r**(-2\/7))\/r)**7*(r*r*r\/(r*r**(-1\/4)))\/(r\/r**(7\/3)*r)*(r\/r**(4\/7))\/r**(-1\/5) assuming r is positive.\nAnswer: r**(2189\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 0 + p + 0*p**2 - 1\/1080*p**6 - 1\/72*p**4 + 1\/180*p**5 + 1\/6*p**3. Let k(h) be the second derivative of j(h). Factor k(n).\nAnswer: -(n - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -47.2. Let z = -2.9 + 3. Do x and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*m = 23456, -7*c = -6*c - m - 4690. What are the prime factors of c?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2068245 - -8) + (-1 - 1). Let r = 37182 - -31069. Let l = r - f. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-552586 + c - 284*c**2 + 276287 + 276289)*(c**2 + c**3 - c**2).\nAnswer: -284*c**5 + c**4 - 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/7)\/((-183)\/1281)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 6*h**2 + 2. Let u be w(-6). Suppose 21 = -y + 2*s, -3*s - 31 = u*y + 11. Is 22*(y\/(-6) - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100100111000111011110010?\nAnswer: -100100111000111011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k + 3. Let u(d) = d**3 + 8*d**2 - d - 9. Let g be u(-8). Let z be n(g). Let j(m) = -m**2 - 10*m - 10. What is j(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 249 = -840. What is the greatest common factor of 132 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 120, -296, -3, 3 in ascending order.\nAnswer: -296, -3, 2, 3, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63148.\nAnswer: 2, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 71\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 7*d + 9. Let k be u(3). Is -4 + (-5 - k) - -31933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 34*f**3 - 21*f - 11*f**3 - 8*f**3 - 2*f**3 - 10*f**3 - 2*f**4 in the form s*f**2 + g*f**3 + h*f**4 + x*f + d and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15882 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 195746651, 195746648, 195746645, 195746642, 195746639?\n\"Answer: -3*o + 195746654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Suppose 0 = -y + 1 - 10. Let n be -1*r*6\/y. Solve -n*d + 6 = -2*h, 0 = -5*d + 8 + 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -56.3?\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 8293*c**2 - 17164400*c - 120557500.\nAnswer: -(c - 4150)**2*(c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-48))\/((-69)\/207)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 9*y - 10*y. Let k(q) = -y*q - 11*q**2 + 4*q + 0*q + 0*q**2. Let p(n) = -55*n**2 + 11*n. Let m(j) = 11*k(j) - 2*p(j). Let i(g) = g. What is m(i(s))?\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1318 and 20.877.\nAnswer: -27515.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 + -1)*(8 + -9). Let m = 8 - n. What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - m + 3*m)*(-1 - 2*m + 3*m + m)*(612*m**2 + 432 - 432).\nAnswer: -1224*m**4 + 612*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -30316 (base 10) to base 11\nAnswer: -20860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 121*j**3 - 2*j**2 - 12*j - 12. Let f be p(-1). Which is smaller: f or -121?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - x - 151, -5*a - 2*x + x = 751. Let f = -146 - a. Solve 3*w + 13 = 6*m - m, -f*w + 16 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -0.1, -2\/7, 9, 48 in descending order.\nAnswer: 48, 9, 0.13, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353586265.\nAnswer: 5, 70717253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.54 + -0.14. Let w = -5.8 + 7.56. Let m = v - w. Round m to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72933 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*x + 7*x**2 - x**2 - 149*x - 4*x**2 - 130*x.\nAnswer: 2*x**2 - 52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4*1\/(-16))\/((-3)\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k - 18*k + 15*k - 37. Let d(r) = -2*r**2. Give d(c(x)).\nAnswer: -8*x**2 + 296*x - 2738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.2 - 4.57. Let f = 0.07 + w. Which is the second biggest value? (a) -0.4 (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a - 596 + 536 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = 4*f - 81, 4 = f. Let b = t - 8. Suppose -2*q = -b*u - 55 - 14, 3*q - 138 = -4*u. Calculate the highest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -114?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 66*x + 539. List the prime factors of v(9).\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*t**2 - 33*t**2 - 468*t**3 - 31*t**2 + 472*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5760 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 53. Calculate the lowest common multiple of 1 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32693 - 0.01?\nAnswer: 32692.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 997 - 288. Let d = 520 + p. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.5. Let i = 0.4 - q. Let h = 1.2 - i. What is the third biggest value in 0.1, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:55 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 5948?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 30. Let b = 32 - h. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, p: 2, o: 1, l: 2, r: 1}. Give prob of picking 2 o and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/9)*i)**26)**(2\/17))**35 assuming i is positive.\nAnswer: i**(36400\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 421362*n**2\/5 - 7344*n\/5 + 32\/5 = 0.\nAnswer: 4\/459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q\/(((q*q*(q*q\/(q\/((q**(-1\/6)\/q*q)\/q))*q)\/q*q)\/q)\/q)*q)**(-5) assuming q is positive.\nAnswer: q**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + 189\/(-39))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*o - 144*o + 425 + 7492 = 0 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -186. Let t = g - -156.0000069. Round t to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.22 or -153804.7?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 5*a - 11. Determine z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-1 - (2 + -84)). Let a be ((66 + -6)\/1)\/(12\/6). What is the greatest common divisor of w and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 3*p**2\/2 + 2*p + 28. Calculate x(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypb when four letters picked without replacement from ykppypgbtyyb.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 20*s + 2 = 0. Suppose 2*r + 2*y - y + 12 = 0, -6 = r + y. Let i be (-8)\/12 - 2\/r. Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 33*j - 2. Let z = -245 + 113. Let q be (0\/(-2) - -3)\/((-99)\/z). What is the hundreds digit of h(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 2*v)*((2 - 5 + 1)*(3 - 3 + 2) + 1 - 4 + 5)*(2*v**3 - 6*v**3 - 5*v**3).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-5))\/(1 + 30\/35 + -2). What is the highest common divisor of 847 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2454797277351 and -2.\nAnswer: 2454797277349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1464 (base 14) in base 6?\nAnswer: -24424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510*v = 492*v + 594. Which is greater: v or 97\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*q = -142, 34*h - 3*q - 182 = 30*h. Solve h*v = 49 - 137 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 56, -3240, 33 in increasing order.\nAnswer: -3240, -12, 33, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-174350)\/(-825)*6\/4 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807964849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -936 minus 2183.117?\nAnswer: -3119.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*p = -20, 4*j - 2*p = 3*p - 23. Let t be (727 - 2)\/(j\/150). Let i be (-2 - (-308)\/(-6))*t. What is i rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooggogggoo. What is prob of sequence gg?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 190*c + 1415. Is 49 a factor of y(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**15\/l*l\/(l*l**(-2\/41)))\/(l**7\/(((l\/(l\/(l*l**(-1\/4))))\/l*l)\/l)) assuming l is positive.\nAnswer: l**(1115\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/58 - -131\/870. Which is the nearest to 0.1? (a) g (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-48))\/((-9)\/(-8)). Suppose -5*o + 19 = -5*y + 2*y, o - y = 5. Let q = -1 + o. Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 3*m**2 + 4*m - 4. Let g be w(2). Let r be 4 + 0 + -2 - 2. Let c be (r\/(-9))\/(1 + -2). Solve t + 5 + c = g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 901 = 36*w - 39*w, -2*r + r + 48 + 16 = 2*w for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -204, 25308 in ascending order.\nAnswer: -204, -4, 2, 25308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -i - i. Let b = i + -8. Suppose b + 21 = 3*r + 5*a, 75 = 5*r + 5*a. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((200\/6)\/1)\/((-896)\/(-672))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*t**5 - 19*t - 10*t**5 - 5*t**5 - 14*t wrt t.\nAnswer: -520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 4 = 19*w. Suppose w*d + 24 = -0*d. Is d at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/q**(-4\/13)))\/q)**49\/(q**(-12\/5)\/(q\/q**(-16\/3))) assuming q is positive.\nAnswer: q**(-1237\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3 + 3 - 1. Let d(o) = -3*o - 3. Suppose 3 = l + 2*l - y, -5*y = 0. Let x(s) = l*d(s) - 3*q(s). Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/5 - -7\/10. Which is the nearest to -1? (a) v (b) 2\/17 (c) 2 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 5*s - 33 = 0, -2*s + 9 = -9 + 34 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 2758380*p - 2758385.\nAnswer: 5*(p - 1)*(p + 551677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**3*x + 2*m**2*x + 239*m**2 - 5*m*x + 14*m - 34*x - 3 wrt m.\nAnswer: -18*m*x + 4*x + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284967 - 284967 + 2*q + 5*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((6*sqrt(245)*1 - (3*sqrt(245) + 5)) + 2))**2.\nAnswer: -126*sqrt(5) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142848 is divided by 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r**2. Let h(s) = -401164*s. What is k(h(d))?\nAnswer: -1126527884272*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -9*z**2 - 4*z + 41. Let l(q) = -13*q**2 - 5*q + 62. Let o(g) = 7*a(g) - 5*l(g). Let n be o(-3). Solve -3*h = 1 - n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1596502? (a) -1\/10 (b) 1 (c) 0.5 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 31 = 2*j, -j + 1 = -4*j - 2*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4255)\/296)\/(-23)*88\/20?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 4*w - 16)*(0*w**2 + 0*w**2 - w**4).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 1. Let j(z) = -z**3 + 1. Let p be j(0). Let n(m) = -3*m**3 + 2*m**2 - 1. Let w be n(p). Let k be s(w). Solve k*r = -7 - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5449 = 5*a, 3*a = 7*s - 3*s - 5447. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*k - 9 = -d, d - k = 6. Is 3 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 4*h - 888, d - 230 = -3*h. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 + 0 + t**3 + 2 + t + 4*t**2 - 6. Let d be a(4). Solve 2*u + d*u = -6, 0 = -2*c + 2*u - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -821674889394 from 5.2.\nAnswer: 821674889399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 496 (b) -16 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -2 in decreasing order.\nAnswer: -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o + 3*o - 84360. Does 37 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -2110210?\nAnswer: 2111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 - -6. Let h be 2\/((-2)\/2) + -3. What is the biggest value in 1, h, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -5)*16\/40. Factor -5*u**2 - 2*u**4 - 7*u**q - 2*u**3 + 6*u**2 + 4*u**4 - 4 + 10*u.\nAnswer: 2*(u - 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -0.3, -5, 5\/3, -282.6, 0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.1, 0, 25, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1450 and 167910.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(23\/5))**(-24) assuming q is positive.\nAnswer: q**(-552\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 11. Let f(v) = 2*v - 9. Let i(r) = r - 6. Let m(s) = u*f(s) + 8*i(s). Let c(b) = 4*b + 7. Let x(l) = 2*c(l) + 5*m(l). Calculate x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(7) + 0 + sqrt(7) + 2)**2*-5.\nAnswer: -957 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6035 (base 7) to base 10.\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254718 = -18331*q + 1721198 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5 - 12868*f**4 + 77096*f**3 - 102752*f**2 = 0. Calculate f.\nAnswer: 0, 2, 4, 3211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -63948.8968 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 15*w - 11*w. Let q = w - -14. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10 - 46\/130) + 9720\/72306.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6851 = -3001. What is the common denominator of l\/126 - (-4)\/14 and (-75)\/(-24) + -2*((-2205)\/18)\/35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:45 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -2*b + 1\/6*b**6 + 0 + 0*b**2 + 1\/3*b**3 - 9\/20*b**5 - 5\/12*b**4 + 1\/6*b**7. Solve x(a) = 0 for a.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 17. Let r = d + -6.6. Which is the third smallest value? (a) 0.1 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 2447138.\nAnswer: 11\/2447138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28891310 is divided by 372?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 5*u + 31.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + -10111101001010101010?\nAnswer: -10111101001001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -1. Let x = 34\/13 - 175\/52. Which is the closest to -2? (a) g (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 + a**2 + 0*a**2)*(-3 - 3 - 4) - 6*a**2 + 0*a**2 - 2*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**3 - 2*h**2 - h + 1. Let p be v(-1). Suppose 7*z - 80 = -p*z. Solve 2*u = -4*k - z, -4*k = 3*u + 4 + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(125) + -1 - sqrt(125))**2 + -3 + 0)*-3 + 2)*4.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. What is the lowest common multiple of 24 and w(9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10071300 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 39*p + 46*p + 35*p.\nAnswer: 46*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 355*m - 57. Let w(r) = 354*r - 73. Calculate -4*i(y) + 3*w(y).\nAnswer: -358*y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11240 - 1022?\nAnswer: -12312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 46, 258\/7, 0.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 36 = -5*w. Suppose -29*t**4 - 15*t**5 + 6*t**2 - 15*t**3 + 5*t**4 + w*t**3 = 0. Calculate t.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5559*x**2 - 5638*x**2 + 10950*x**2)*(-3*x**2 - x**2 - x**2).\nAnswer: 1235*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218571 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-10))\/((-1)\/15). Suppose 0 = -2*i + p*a + 446, -3*a = 2*i - 331 - 127. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614978416 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 8589*y**3 - 42 + 22.\nAnswer: 8589*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1658726.9553316 - -1658728. Let v = -1.045 + l. What is v rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2)\/((-7)\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oujorjjujpuz. What is prob of picking 1 p and 1 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc8380 - -40?\nAnswer: -bc8340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cngi when four letters picked without replacement from gngnngncnggi?\nAnswer: 5\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + sqrt(700)*-3)\/(sqrt(4) - -2*sqrt(256)).\nAnswer: -5*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {a: 1, r: 1, f: 1, d: 1, h: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a + 6. Let y(d) = -35*d**2 - 4*d + 19. Let r(i) = 4*c(i) - y(i). Let w(g) = 58*g**2 + 7. What is -7*r(l) + 5*w(l)?\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 147163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3*19\/(304\/192). Solve -46 + 34 = y*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(-3) + 1\/(-1). List the prime factors of 387\/11 - j\/(-44).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2798, 11219, 25268, 44945, 70250?\nAnswer: 101183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-15 + -2 + (15 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**6\/120 - r**5\/20 - r**4\/12 - r**3\/6 - r**2. Suppose 0 = 5*c - 15, -5*s + 2*c + 2 = -2. Suppose -2*h + 0 = s. Give o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 - 7)*(-c + c - c**3) + (3*c - 6*c + c)*(-3*c**2 + 0*c**2 + 2*c**2) to the form s*c**2 + f*c**3 + a + u*c and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9715, -22965, -36215, -49465, -62715, -75965?\n\"Answer: -13250*j + 3535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-6*b + 6*b + 9*b**2).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(-2\/11)*((j**(-1)\/j)\/j)**(-2\/13))\/(j**(-4\/5)*j*j**(-1\/12)*j*j)**(-34) assuming j is positive.\nAnswer: j**(310327\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 424, -30\/17, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.42 + 3.32. Which is the smallest value? (a) g (b) 3 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*j - 66*j - 5*m - 14 + 216 = -83*j, -4*j = 3*m + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13333163 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 63\/(-24))*(-1512)\/(-360) and 35\/1404?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/25)\/x**(-7\/8)*(x*x**(-8))**(3\/7) assuming x is positive.\nAnswer: x**(-409\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 7*t + 11. Let f be d(8). Let w be (-1 - 2)*(-1)\/f. What is the biggest value in -1\/3, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490 - 4820*t**3 - 490 + 4819*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -1\/2, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = -4*s, -11 = -4*p + 3*s + 2*s. Suppose -p*y + 8*y = 1. Sort 0, y, 4.\nAnswer: y, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(2\/3))\/(((((p*p**(-2\/5))\/p*p)\/p)\/p)\/p)*(p**(-1\/3))**(-8\/7))\/((p**1\/p)**(-4)*(p*p*p**6\/p)\/(p*p**0*p)) assuming p is positive.\nAnswer: p**(-66\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2338*b - 2336*b = 28, 2*f + 4*b - 80 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/(-335))\/(4\/(100\/45))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -216. Which is the nearest to 2\/7? (a) -0.06 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, -6, 1, -2 in decreasing order.\nAnswer: 8, 5, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 4. Let w(n) = -n**3 - 10*n**2 - 2*n - 15. Let g be w(-10). Let z be u(g). Sort 2, -2, z, -1 in descending order.\nAnswer: 2, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(-7) + 3*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -4 - -6) + 2\/1. Solve -2*l - 3*m = -11, -d*m = l - 2*m - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s + s + (-4 - 2*s + 4)*(-1 + 2 - 3) + 3 - 2*s - 3 - 38*s - 58 + 41 + 29.\nAnswer: -34*s + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -4)*7\/(-2). Suppose -4*g - 32 = -368. Let d = g - 56. Calculate the greatest common divisor of d and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -202*c + 353. Let d(y) = -201*y + 353. Let o(w) = 3*d(w) - 2*g(w). Differentiate o(h) wrt h.\nAnswer: -199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*t**2 + 10 - 5523*t**2 - 10 - 3369*t**2 to w*t**2 + m*t + z and give w.\nAnswer: -9118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 61 - 7, -z = -5*x - 92 + 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-12144)\/1152 + ((-363)\/220 - (-2)\/5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g**2 + 5*g - 4. Let t be i(3). Suppose -4*p = -14 - t. Suppose o + 3 = -5*h - 1, -8 = 4*h. Solve p*y - y - o = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 5*p - 5, -2*p + 0 = -89*u + 87*u + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5381*v + 3890*v + 1216*v)*(-2*v - 3 + 3).\nAnswer: -20974*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxxq when four letters picked without replacement from {x: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15321\/10 - 1534. What is the common denominator of 2 - 1 - -1 - (-279)\/(-30) and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -775135 and -0.23?\nAnswer: 178281.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-13878)\/(-490356))\/((21\/4)\/7)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 8 - 1\/5*12.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let n = q + -6. What is the closest to 2\/3 in 0.5, n, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 13*y + 112 = 0. Which is the nearest to 3\/2? (a) 2\/3 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*l**2 + 4*l**2 + 10*l**2 - 16 as f*l**2 + b + j*l and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20 + -19)\/(((-104)\/(-34) - 3)\/(-3987)). What is j rounded to the nearest 100?\nAnswer: -67800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**0)\/n))\/(n**0*n))**(-28\/5)*n**(2\/9)*n**(1\/8)*(n**(-2))**(3\/7) assuming n is positive.\nAnswer: n**(-257\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 13*u**2 + 2*u + 160. What is the tens digit of o(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:37 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 569 + 129. Suppose 0 = -2*s + 437 + g. Is 13 a factor of (-30)\/50 + s\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*1\/3 - -2. Suppose 3*y + 2*d = -0*d, 5*d = z*y. Suppose -i = x - y*x - 3, -3 = -2*i - 5*x. Solve 20 = -i*v - 4*p, 0*v = v - p - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7446, 29784, 67018, 119148, 186174?\n\"Answer: 7448*g**2 - 6*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*y - 54, -4*k - 4*y + 72 = 8. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + (sqrt(560) - 1*sqrt(560)) + sqrt(35))\/(sqrt(49)\/(sqrt(42)\/sqrt(6))) + (2*(-1 + (sqrt(245) + 2 - sqrt(245))))**2*-4.\nAnswer: -16 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.93 - 0.23. Let r = 55.7 - g. Let y = r + -54.092. What is y rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37787*c**3 + 37707*c**3 - 66 + 66.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**2 - 729*p - 21196 = 0?\nAnswer: -28, 757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.37 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5224999?\nAnswer: 13, 41, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + ((2*sqrt(209)*-6)\/((sqrt(44) - -6*sqrt(44))\/sqrt(4)))**2 + 2).\nAnswer: 2834\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33692022 divided by 71838?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 3*n. Let l be 1*(4 - n) - -6. Suppose -13 = -l*i + 57. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 8. Let f = -13 - -23. Let r be (12\/f)\/(b\/25). Solve -3*o + 25 = -4*p, r = o - 4*p - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 57 = 3*u. Suppose -281*n + 149*n + 138*n - u*n**2 = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119204.1 + 119204. Let x = 1.97 + 0.03. Sort j, -1\/3, x.\nAnswer: -1\/3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u**2 + 96 - 96)*(0 + 2*u**2 + 0)*(-8*u + 73 - 39 - 32).\nAnswer: 320*u**5 - 80*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 + 52*y + 45. Let i be u(-17). Calculate the highest common factor of i and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 44. Suppose -7*k + c*k + 160 = 0. Suppose 4*b = 5*s - 96, s + 4*b - 25 = -b. Calculate the greatest common factor of k and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*m = -360*m - 7 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 + 5*j + 6. Let x(q) = -11*q**2 - 10*q - 12. Let g(b) = -5*a(b) - 3*x(b). Let o be g(-10). Let z be (-1)\/(-6)*3*o. Round z to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3838 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191835 and 104710.\nAnswer: 4017408570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233448551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(26\/3)*r**19)**(-4\/3))**(1\/5) assuming r is positive.\nAnswer: r**(-332\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13359149 to the power of 1\/3, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105657350*a**3*i**3 + a**3*i**2 - 93978020*a**3 wrt i?\nAnswer: 316972050*a**3*i**2 + 2*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 4913, -30?\nAnswer: 4913","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-2*k**2 - 4*k + 4*k) - 8*k**2 - 14*k + 14*k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - v)*(4*v - 3*v**2 - 4*v) + 3*v - 3*v + v**3 + (v**2 - 5*v**2 - 7*v**2)*(4*v - 5*v - v).\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -37. Suppose 3*l + 120 = 7*l. Calculate the greatest common divisor of u and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -742*q*t**2 - 5*q*t + 2*q + 17*t**2 - 87*t - 2 wrt t.\nAnswer: -1484*q + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1757*l - 918914. Calculate u(-523).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 293295872 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 8)*(-3*n**3 - 50*n**2 + 50*n**2 - 2) to the form p + a*n**3 + s*n**2 + q*n and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + 3*f**4\/4 + 21*f**3\/2 - 1800*f**2. Give t(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 14002 = 2*l, -3*s + 0*l = l + 20999. What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0, -535 in increasing order.\nAnswer: -535, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -504, -473, -442, -411, -380?\n\"Answer: 31*y - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 13, 7.\nAnswer: -16, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2769 is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -2343*w**2 - 2022. Let c(g) = -g. What is c(t(h))?\nAnswer: 4686*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18840\/8478*1\/((-5)\/(-1)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 129. Let l be z(-26). Put l, -2, -1 in descending order.\nAnswer: -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (11 + -14) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -42 (b) -21\/4 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 3*o - 2. Suppose 3*w = f + 4*f - 7, 0 = 4*w - f + 15. Determine b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1 - (-2 - 0)). Suppose -5*f = t*m + 3, 4*f - 2*m + 4*m = -2. Let j be 11*(1 + (f - 2)). Put -4, j, 5 in ascending order.\nAnswer: j, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49900*v = 49901*v - 9612. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/7 + 10*g**2\/7 - 2*g\/7 - 10\/7 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2039?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*o - 9. Let x = o - -6. Suppose x*p - 2*p = 5*w - 60, 3*w = -6. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -3. Let c be (30\/45)\/(4\/18). Solve -4*x - 10 = 3*v, 4*v + m = -0*v - c*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -75, -69, -27, 63, 213?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**3 + 4*a**2 - 3*a + 5. Let d(w) = 4*w**3 + 3*w**2 - 2*w + 3. Let r(i) = -5*d(i) + 3*u(i). What is r(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 21*w**2 + 100*w + 167. Let m be p(14). What is the greatest common divisor of 1905 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27\/73, 0, 103, -0.3, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:04 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12575\/33 + 1142\/3. What is the common denominator of t and 16\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(2*m + 3*m - 6*m) + (0 + 0 + 2*m)*(0 - 3 + 2) - 13*m + 2*m + m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 0*d + 0*d + (2*d - 2*d + d**4)*(3*d - 3*d - 2*d) + 0*d**5 - 3*d**5 + 2*d**5 + (-2*d + 2*d - 3*d**3)*(-2*d**2 - 3*d**2 + 6*d**2 + 1).\nAnswer: -8*d**5 - 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 2. Let f be p(4). Let u(v) = -v**3 + 8*v**2 - 5*v - 7. Let l be u(7). Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(21)\/(sqrt(12)*5))**2.\nAnswer: -sqrt(7) + 2507\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (793 + -1791)*1*-8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*r**5 + 73730*r**4 - 14583460*r**3 + 36323960*r**2 - 15588160*r + 1354880 = 0.\nAnswer: -292, 2\/17, 2\/5, 2, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(315)*-2)\/sqrt(7))\/sqrt(9) - (sqrt(15)\/sqrt(3)*1 + -4)**2.\nAnswer: -21 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -643 (base 13) to base 12\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 48*i - 239. Let y be z(5). Solve -4*p = -s + y - 20, -2*s + 22 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1520 and 153330?\nAnswer: 1226640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 200 + -200. Is (f - 2722\/(-2))*(-194)\/(-194) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*t - 1320 = 0, -6*t - 333 = -u - 4*t. Suppose 0 = 2*i - u - 63. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1882641227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ppvpvvvvpvvpvv?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*c**2 + 37*c**2 + 64*c**2 - 168*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 = 2*i - 18, i - 10 = -2*k. Suppose -a + 4*u = -15, -67 = -3*a - 0*a + u. Calculate the remainder when a is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -82532*n - 6. Let v be z(3). Let h = v - -86660839\/350. Let t = h + -5\/14. Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -9943*w**4\/4 + 2866*w**2 - 3250. What is the second derivative of t(s) wrt s?\nAnswer: -59658*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*f - 133 + 188*f + 184*f + 198*f - 750*f.\nAnswer: 5*f - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 12 = 3*h. What is the highest common factor of 72 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6811, -13763, -20853, -28081, -35447, -42951, -50593?\n\"Answer: -69*v**2 - 6745*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-9 + 9)\/(-2 + -1). Let i be -13*(-1 + -4)*k\/(-1). Let h = 47 + i. Does 28 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4\/(20\/5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {h: 3, v: 1, x: 6, a: 2, j: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -17*q + 12*q. Let m = q - -18. What is the least common multiple of m and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/60 + i**4\/3 - 13*i**3\/6 - 9*i**2. Determine t(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2164874.\nAnswer: 2, 137, 7901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110440964.\nAnswer: 2, 27610241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*4*-4*-6)\/(sqrt(20)\/(sqrt(60)\/sqrt(96))*-6).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/3 - b. Let g(n) be the first derivative of n**2\/2 - 30. Determine g(w(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4016 divided by -1004\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -66758053 - -508.99\nAnswer: -66757544.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -90 + 81 - 2*s**4 + 3*s**4 - 2*s + (-3*s + 2*s**3 + 3*s)*(2 + 3*s - 2).\nAnswer: 7*s**4 - 2*s - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/35 (b) -132\/13 (c) -0.082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -86. Suppose h + 520 = m*h. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 r when three letters picked without replacement from {m: 6, w: 8, g: 2, r: 3}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**7\/105 + v**5\/20 + v**2 - 4. Let r(l) be the second derivative of d(l). What is the third derivative of r(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39561, -39680, -39879, -40158, -40517, -40956, -41475?\n\"Answer: -40*h**2 + h - 39522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -o + 20, 28 = -2*q + 5*q + o. Suppose -8*m - q = -9*m. Suppose -24 = 5*x - m*x. Solve 2*h - 2 = 4*r, -6 = -2*r - 2*h + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 12:15 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 836*g + 1304308 = 870*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*v - 314*v = -5824 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.02 + -0.02. Let r = -12.99999934 + d. What is r rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -32 - (0 + -1). Let w be (-39)\/3 + 96\/4. Calculate the highest common factor of w and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37872 + -37803. Let u(l) = l**3 - 2*l**2 + 2*l - 4. Calculate the remainder when a is divided by u(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-55)\/(-9)*21\/70 and (-21)\/((120\/9)\/4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:25 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s)**31\/(s**(-2\/3))**(-4\/9) assuming s is positive.\nAnswer: s**(5014\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1529 + -964. Let d = -227 + z. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*j*q**3 - 37*d*j - 4*d*q - 2*j*q**3 + 23692*q**3 wrt d?\nAnswer: 2*j*q**3 - 37*j - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1602109 divided by 2.\nAnswer: 1602109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d - 1. Let k(q) = -q**3 + 10*q**2 + 7*q + 2. Let b(s) = -k(s) - 5*x(s). Let v = 1084 - 1079. What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**2\/2 + 7*g - 16. Let x be y(-5). Factor 4*f**x - 2*f**3 - 7 + 0*f - 2*f + 7.\nAnswer: -2*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 11 = -3*x, -1 = -2*x + 3*w. Let g = 8 + x. Is g\/(((-12)\/291)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c + 51*c = 21*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, w: 1, k: 1, x: 1}. Give prob of picking 1 k, 1 x, and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30191869?\nAnswer: 107, 282167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 + 2 = 0. Let h be (26\/3)\/((-2)\/(-3)). Suppose -d = 2*c - x*c + h, -4*d + 5*c = 7. Solve 6*w = d*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 5}. What is prob of picking 2 j and 2 z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 1:48 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/((o\/(o\/((o*o\/(o**(3\/4)*o))\/o)*o))\/o)*((o*o**(-5)\/o)\/o)\/(o\/(o**5*o)) assuming o is positive.\nAnswer: o**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1553\/7162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 31. Suppose -2*q + 3*n - h = -n, 4*n = -4*q + 24. Factor 7\/3*o + 1\/3*o**4 + 2\/3 + 5\/3*o**3 + 3*o**q.\nAnswer: (o + 1)**3*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732851.\nAnswer: 7, 104693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 1a2?\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3284710 to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 156 + 433562.3\nAnswer: 433718.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 take away 100906771?\nAnswer: -100906729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 34. Calculate the common denominator of 107\/14 and (3 - 35\/12)*(-206)\/o.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1874, 3767, 5660, 7553, 9446?\n\"Answer: 1893*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*p - 786*p - 36*p - 301*p + 221*p to the form t*p + q and give t.\nAnswer: -1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25 - 10 - (-1 - 1). Let o(q) = -3*q. Let d = 8 + -2. Let b(k) = -1. Let a(l) = -l - 1. Let v(z) = -a(z) + b(z). What is d*o(s) + j*v(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*p - 1343*p - 4490 = -40972 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 8, 0*g - g = -j + 9. Solve s + 3 = j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 190007066.8 to the nearest ten thousand.\nAnswer: 190010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - -1)*(2 + -2 - 29). Let n = q + -58. Which is smaller: n or 89?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u - 5*u. Solve 0*f + 2*f = u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 2:43 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 903 + -460. Let n = g + -432. Solve -n*z = -6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/14)\/(1\/(-2)). Suppose 6*c = j*c + 6. Let r be (0\/9)\/(c*1*-1). Solve b - 5 = 0, d + r*b = -5*b + 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h. Suppose 3*m + m - 16 = h. What is the least common multiple of 10 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.99 + -9.19. Let g = 11 + -8. Which is the nearest to -0.2? (a) d (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6914)\/((-60)\/7 + 0). Let p = a - 805. Let t = -9\/5 + p. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 621407 and 1708?\nAnswer: 17399396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 2. Let m(b) = b**3 - 6*b**2 - 4*b - 5. Let w be m(7). Suppose -4*x + w = -0*x. Is l(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -61 (b) 7 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -34, -79, -142, -223?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -60*s - 164. Give a(-9).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 1. Let d(g) be the first derivative of -2*g**4 + g**3 + g**2 - 6*g - 546. Determine -d(h) + 6*t(h).\nAnswer: 2*h**3 - 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6))**(-7\/4)*b**(-7\/9)*b*b**8 assuming b is positive.\nAnswer: b**(-145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2482 - 1553. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0312 (b) -14126 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -42. Let w(y) = 14*y - 56. Let n be w(6). What is the least common multiple of k and (n\/(-6))\/(-14)*30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 + -181. Suppose -14*j + b*j = 74868. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.411032km to nanometers.\nAnswer: 411032000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h - 5372 = -80*h + 1374 - 1826 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2016337148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116576424 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11 or 2\/27?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 0.0149 in increasing order.\nAnswer: 0.0149, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -196007*m + 7. Let q(r) = -r - 23. Let h be q(-24). Let x be s(h). Round x to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -605.41 from -1023.3.\nAnswer: -417.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1736*v*z**2 + 10693253*v + 3*z**3 + 2263*z + 2 wrt z?\nAnswer: 3472*v*z + 9*z**2 + 2263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 4)*(-4*g + 4*g + 2*g**2) + g**2 + 2*g**2 + 9*g**2 + 1 - 4*g**2 + 5*g**2 - 2*g**2 to the form z*g + x + r*g**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y - 48*y + 394 = 82*y. Let c(f) be the first derivative of 0*f + 2\/5*f**5 - 1\/2*f**4 - 8 - 10\/3*f**3 - 3*f**y. Solve c(b) = 0 for b.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 20.33138 micrograms?\nAnswer: 0.02033138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 176*d + 1. What is the tens digit of u(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 12721.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((-1*sqrt(95) - sqrt(95))*2 - sqrt(95))\/(1*sqrt(20) + sqrt(20)))**2 + 4*(-5*sqrt(475) + 2)**2).\nAnswer: -1200*sqrt(19) + 2282193\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 213789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25135 (base 6) in base 16?\nAnswer: e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and -0.6173 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 885210522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 37 - 38 = -73, 33*q - 30*q + 4*p + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/31 in -33, -2\/101, 1, -11, 2, -4?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/4 of a tonne?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2651716 and 15282258?\nAnswer: 580725804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3 + 21*k**2\/2 + 24*k + 11. Suppose z(v) = 0. What is v?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1160 divide 7280429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26810.\nAnswer: 2, 5, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236 - -1170. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3861846 divided by 3?\nAnswer: -1287282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -1. Suppose 2*u = -7 - 3. Which is the nearest to -1? (a) u (b) z (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r\/(r\/(r**2\/r))))\/r**(2\/5)*(r\/r**(2\/21))\/((r*r*r*r**(-4)*r)\/r))**(-21\/8) assuming r is positive.\nAnswer: r**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g = -38*g - 48*g + 825. Suppose -p - 6 = -4*i + 9*i, 60 = 5*p - 5*i. What is the remainder when g is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686802 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7294*z - 7291*z - 1269 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7651052?\nAnswer: 2, 1912763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 3:59 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7))\/((288\/(-42))\/8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*j - 10 = 0, 4*a - 108715 = 3*j - 108710 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2\/11 - 37432*x\/11 + 175144328\/11 = 0?\nAnswer: 9358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -207027085 less than -207027087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 11*m**2 - m - 1. Suppose 2*j + 17 = 5*h + 101, -3*j = -5*h - 86. Let a = h - -10. Is u(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - f - 133 = 20*l - 121, 6*l = -4*f - 70 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttvtvtvt. Give prob of picking 3 t and 1 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44454 is divided by 11096.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0174 and 5?\nAnswer: 5.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/142)\/(53\/(-106)). Which is the nearest to 0.1? (a) 0.3 (b) 5 (c) 3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 159*b + 6 + 196*b - 6 - 360*b. Let g(o) = -o**2 - 1461. Determine g(s(f)).\nAnswer: -25*f**2 - 1461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7178, -12279, -17380?\nAnswer: -22481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3199 divided by -10930.\nAnswer: -3199\/10930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 13511*z - 54031. Give q(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 6464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1024090 - 1018384.41. Let s = -5782 + b. Let x = s - -76. What is x rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5819 and 1890812.\nAnswer: 1000239548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -28 (c) -3\/17 (d) -5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -137. What is the third derivative of -51*m + 51*m + 5*m**3 - r*m**2 wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 483*x**2 - 480*x**2 + 0 + 963*x**2 - 43*x**3 - 1 to the form a + m*x**3 + t*x**2 + w*x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 0*o**2 + 0*o**2 + (-1 - 3 + 2)*(-o + 2*o**2 + o) + 4*o**2 + 2*o**2 - 4*o**2 - 585 - 15*o**2 + 585.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4003 and -1339.\nAnswer: 5360017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1)*(7 + 7 - 1)*(-3*q + 3*q - 2*q) to the form a + c*q and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3720? (a) -0.013 (b) 0.1 (c) 4 (d) 2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**3 + i - 1. Give u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10952 divided by 31087?\nAnswer: 10952\/31087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26025283 to the power of 1\/2, to the nearest integer?\nAnswer: 5101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*h**3 - 1150 + 1150 - 29450*h**3.\nAnswer: -28654*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 250.6 (b) -50 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -3*a. Let g be (2 - -3) + 1*-1. What is the second derivative of s - 2*s**5 + 6*s**a - 6*s**g wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*z**2 + 64*z**2 - 174*z**2 - 66*z**2.\nAnswer: -340*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k + 2*k**2 - 44*k**2 + 2*k.\nAnswer: -42*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 64 (c) -0.3 (d) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35662 - -35681. Let a = 54 + -26. Solve 5*y = -2*h - g, 6 - a = 5*h + 4*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -23*o**7\/840 + o**5\/120 + o**4\/24 + 5*o**3\/6 + 4*o. Let m(k) be the second derivative of p(k). Is m(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 31 - q + 26.\nAnswer: -q + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 1 + 13)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -5*a, 5*s + 33 = -a - 7. Let k be 1 + (-2 - s\/3). Let v = -7 - -12. Put 3, v, k in decreasing order.\nAnswer: v, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooyyyookyooo.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 190. Let u = c + 72. Let j = -2 + 5. Solve 2*t + u - 12 = -5*z, 3*t - 3 = -j*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 4*j - 5. Let y be d(5). Let z = y + 11. Suppose 5 = r + 5*p, 0*r = -2*r - p + z. Which is the closest to 2\/5? (a) r (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(1 + 0 + 0)*(-10643*y + 6648*y + 5859*y) to the form j + s*y and give s.\nAnswer: -3728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3496, -0.5 in increasing order.\nAnswer: -2, -0.5, 1, 3496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 241716 - 241709.54962. Let h = c + -8.650382. Let p = h + 2.2. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 r, 1 t, and 1 i when four letters picked without replacement from iriwwryqt?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39 + 0)*(1 - (-12)\/(-9)). Let t = u - -13. What is the second derivative of 13*y**3 + t*y - 17*y + 13*y**3 wrt y?\nAnswer: 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 4*p - 16, 462*o - 6 = 2*p + 465*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-456)\/2128*104\/(-42)*7\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202007?\nAnswer: 3, 59, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.44. Let r = d - 0.06. What is the third biggest value in r, -3\/4, 1\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/17)*t)\/(t\/(t\/(t**6\/t)*t))*(t*(t\/t**(8\/3))\/t)\/t**2)**26 assuming t is positive.\nAnswer: t**(-9308\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*x - 1562, 5*k - 3*k = 2*x + 782. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 2\/41 (c) 5\/16 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, q: 2, h: 1, x: 5, c: 1}. Give prob of picking 2 q and 1 h.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106617851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 99*j - 103*j + 4*y, -5*j + y - 30 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -607*r**6\/6 - 2*r**4 + r**2 - 2875*r + 2863. What is the second derivative of g(x) wrt x?\nAnswer: -12140*x**3 - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155501887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -103176*b**2. Let d(w) = -w. What is l(d(y))?\nAnswer: -103176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694293 - 585427 + 409741 = -89*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4232.1*-313.\nAnswer: 1324647.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010825 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = -6*x - 43*x - 389 - 271 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*c = -4, q + 3*c = 27 - 29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/3 (b) -3\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsf when three letters picked without replacement from {w: 1, s: 2, z: 1, f: 1, h: 1, r: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1821 * 0.5\nAnswer: -910.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 8*p**2\/7 + 4*p - 16\/7 = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 9) to base 3.\nAnswer: -20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -45. Sort 0.1, 5, -5, y.\nAnswer: -5, y, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:09 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 151?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811 is divided by 97.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -177.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x + 14*x - 3 + 4*x**2 + 21.\nAnswer: 4*x**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 6, -3 in decreasing order.\nAnswer: 6, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 13. Let o(y) = -3*y**2 - 54*y - 26. Let j(s) = 3*s**2 + 63*s + 27. Let m(i) = 6*j(i) + 7*o(i). What is -5*m(q) + 8*v(q)?\nAnswer: -q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + a + 3, 2*n + a - 9 = -0*n. Let l = 771 + -747. Let w be ((-1)\/2)\/((-6)\/l). Solve -n*g - 2*g = 4*v - 4, -5*g - w*v = -11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64\/585 - -2\/45. Which is the closest to 0.1? (a) d (b) -1\/6 (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 213*u - 2913. What is v(14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 33*m**2 + 37*m + 107. Give s(-34).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 5*l + 4. Let h be b(6). Let c be (-16)\/24*12\/h. Suppose n + 0*n - 2 = 0. Put n, c, -5 in decreasing order.\nAnswer: c, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 4*q - 230, 3*g + q + 524 - 184 = 0. Let w = g + 195. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/33 - 296\/(-1386). Let p = 17 - 14. Let h be -2 + -1 + 0 + p. Are j and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9243 smaller than -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 189336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 17*l - 4. Let s be u(2). Suppose 15*v = 10*v + s. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200)*-1)\/(sqrt(1210) - (sqrt(1210) + -5*(sqrt(1210) - (sqrt(1210) + sqrt(1210)*-1)) + sqrt(1210) + sqrt(1210))).\nAnswer: -2*sqrt(5)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**8\/168 - 2*g**7\/105 - g**6\/60 + g**5\/15 - g**2\/2 - 2. Let y(z) be the second derivative of j(z). What is x in y(x) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15197 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -14)*(48 + -52)*(-2)\/(-8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068 - -110904?\nAnswer: 110903.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33938353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.0834 (b) -1\/4 (c) -2 (d) -2.65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-5 + (7 - 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.25? (a) 2\/5 (b) -1 (c) 0.7 (d) -3\/499\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmzypytz. Give prob of picking 2 z and 1 p.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-22) - (-102)\/(-187). Let o(x) be the third derivative of -1\/300*x**5 + 0 - 1\/30*x**3 - 1\/60*x**4 - 4*x**2 + y*x. Factor o(c).\nAnswer: -(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 2 - n**2 - 1 + 1. Let c be o(-4). Suppose -2*t + c + 0 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261923010 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -105016 - 6\nAnswer: -105022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-4))**17\/(((c\/(c\/((c*c\/(c*c**(-9)))\/c)))\/c)\/c**(-15)))**(-10) assuming c is positive.\nAnswer: c**740","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {g: 1, d: 4, o: 6, w: 3, v: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Calculate the lowest common multiple of (-22)\/(-10) - i\/15 and 639\/36 + (-15)\/(-24)*(-10)\/(-25).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 5*x + 8*x - 2*x - 2*x + 3*x + (x - 3*x + 3*x)*(-4 + 4 - 1).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 54?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s + 12*s + s**3 - 10 - 2*s**2 + 12*s**2. Let d = 13 - 21. What is the units digit of f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + p = -2*p - 40, -4*q + 8 = 5*p. Differentiate 3 - q - 13 - 24*d**2 wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*y - 2 = -6, 2 = p - y for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 995*v**3 - 5*v**4 - 995*v**3 + (3 - 3 + 2*v)*(-v**3 + v**3 + 2*v**3) + v**4 + 2*v**4 - 5*v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - 986\/(-51) - (-2)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 - 59*i + 47. What is m(-16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(35*2 - -3). Let v = t - -152\/219. What is the common denominator of 107\/10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -4033\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776 is divided by 98.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = 13*f + 374. Suppose f*p - 128 = -30*p. Solve 0*u + 8 = p*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 7*y**2 + 754*y + 18121. Calculate t(-42).\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 6 = -r. Suppose 0 = -u - 7 + r. Suppose 0 = 14*h - 11*h - u. Calculate the remainder when 1 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3\/(b*(b\/(b*((b**(-2)\/b*b)\/b)\/b))\/b)*(b*b*(b*b**(-1\/3)*b)\/b)**45 assuming b is positive.\nAnswer: b**119","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 - i + 1. Let z(c) = 14*c**2 + 3*c - 3. Let w(q) = 17*m(q) + 6*z(q). Let g be (((-16)\/5)\/2)\/(13\/((-1885)\/116)). What is w(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 8 = 3*s, 3*s - 4*s = -3*k + 6. Suppose 0 = r - 86 + 90. Let l be k*-22*r\/4. What is the greatest common factor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 9*u = -4*c - 11*u - 6*u - 104, 2*u + 8 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 plus 1941622111112?\nAnswer: 1941622111262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from cqootcokoqoqttk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - 112*m + 93. What is the lowest common multiple of 4 and v(-31)?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*-1 - -2 - (-20)\/2. Suppose -5*y + c*y = 180. Is y a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5)\/((s\/(s*s*s*s**25)*s)\/s))\/(s**(-11))**41)**12 assuming s is positive.\nAnswer: s**5676","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5124638782 - 5124638778.9703865916. Let z = o - -0.0703858616. Let n = 3.1 - z. Round n to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 35 = 2*g - 73, 0 = -3*n - 2*g + 81. Suppose -4*i - 5*o - 13 = -3*i, -i + 3*o - 13 = 0. Let y = n + i. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15216 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/1*(-2 + 1). Factor -81 + h*r**3 + 19*r + 69*r + 74*r - 108*r**2.\nAnswer: 3*(2*r - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/(n\/(n**(-4)\/n)))\/n))\/(n\/(n*(n*n\/(n**(-4)*n*n))\/n)*n))**(-33\/5)*(n\/n**(-1\/3))**(7\/8)\/(n**(1\/4)*n**3\/n) assuming n is positive.\nAnswer: n**(-3629\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1298 and 2131888418.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 4:33 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*q - 3*a - 25053 = 724*q, -2*a - 12529 = -q. What are the prime factors of q?\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/9 + 10*i\/3 - 39.\nAnswer: (i - 9)*(i + 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuf when three letters picked without replacement from uffuuuf?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 3. What is the remainder when 50 is divided by u(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.5 times -43.04\nAnswer: 1312.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-172)\/(-14) - 4\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {n: 1, d: 1, t: 1, r: 1, w: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 25*x + 56. Let l(n) = 3*n**2 - 18*n + 37. Let m(w) = 7*l(w) - 5*q(w). Let v be m(6). Solve 6*f - 3 = v*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.06525 months in years?\nAnswer: 0.7554375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:36 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 + 6*y + 2. Let z be o(6). Let s = -60 - z. Suppose -s = 6*v - 8*v. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*v**2 - 27*v**2 - 14*v**2)*(-15 + 4*v**2 - 4*v - 5*v + 7*v) in the form m*v**3 + s*v + b*v**2 + g + y*v**4 and give b.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1.3, -0.3, 2004?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -11 + 12 + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177.99 + 179. Let t = 0.01 - u. Let d = 4.8 + -4.9. What is the nearest to t in 2, 2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5915)\/(-4732) + 2 + ((-35)\/(-4) - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/11232 and 25\/21250944?\nAnswer: 21250944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 4 - 1\/(-1). Let v = 68 + n. Does 23 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192 - 193. Let q = -2 - -1. Let p = -0.074 + -1.926. Which is the closest to j? (a) -1\/10 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*v + 97 - 1, 0 = v + 5*n - 28. Solve 10 = -5*m, 2*u + 4*m + v = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866040797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4 + (sqrt(242) - -1*sqrt(242)) + sqrt(242) + -1 + 2)**2 + 4)*-4.\nAnswer: -8752 + 792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x**2. Let t(f) = 94*f + 111. Determine t(i(y)).\nAnswer: -1974*y**2 + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11585.\nAnswer: 5, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(468) + -1.\nAnswer: -72*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -8.2. Let j = 0.04172 + -0.05172. Which is the closest to j? (a) 0 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97.967954 + 97.96. What is k rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.3. Let u be -1*15\/10*12\/(-9). Let d = -0.5 + 0.7. Which is the third biggest value? (a) w (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -1247 (b) 1 (c) -523 (d) 4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**5 + 14*l**4 - 17*l**3 - 2*l**2 + 7*l. Let f(d) = -d**5 + d**4 + d**3 - d. Let w(b) = -10*f(b) - 5*j(b). Find v such that w(v) = 0.\nAnswer: -1\/2, 0, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6582, 1008, -4566?\nAnswer: -10140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24792c1 - -7?\nAnswer: -24792b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 5. Let k be ((-32)\/(-40))\/((-1)\/5). Let h be w(k). Is 2\/7 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022498?\nAnswer: 2, 461, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in -0.5, 1, -67?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -726728508\/5 less than -145345701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-70)*(-2)\/(20\/(-25)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 8*z - 4. Let b(f) = f**3 - 4*f**2 + f - 2. Let x be b(4). Sort x, -3, z in descending order.\nAnswer: x, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 5*l**2 + 10*l + 13. What is n(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/7, 2.9, -16164?\nAnswer: -16164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -27*q + 111. Let d be b(4). Suppose 0 = -2*n - 8, n + n = 5*z - 13. Solve 5 + z = -d*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 138559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**6 - j**5 - j**6 + 41*j**5 - 382*j**2 + j**6 + 5*j**6 wrt j.\nAnswer: 720*j**3 + 2400*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 2*u + 25. Let q be w(-6). What is the smallest value in q, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(1\/2)*o))**(-5\/13) assuming o is positive.\nAnswer: o**(-5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**5\/60 - 3*m**4\/8 - 3*m**3\/2 + m**2. Let j be p(-7). Let v = 19 - 17. Solve v*h + 1 = -j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + 0*p**3 - 2*p**3 - 4*p**3 + 2*p**3 + p**3 + (3*p**2 + 2*p**2 - 6*p**2)*(0*p + p + 0*p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976*h = -7181 - 16688 - 29811 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7065 (base 8) in base 10?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -19 + 36 - (-11 - -33)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 723 (b) -1\/2 (c) -3 (d) 20\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -7.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133474029.\nAnswer: 3, 13, 3422411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3172 and 47336?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 238\/(-17)) + -16*3\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913156 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - 32?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038 * -8375.\nAnswer: 318.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2818 divided by -6.\nAnswer: -1409\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6083 by -7.\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -17\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1900) - 5*(3 + sqrt(1900))) - (sqrt(1900) + 5 + sqrt(1900) + sqrt(1900) + 2)*1)**2*6.\nAnswer: 17640*sqrt(19) + 561246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -684*v. Let b(a) = 8*a**2. Determine b(f(p)).\nAnswer: 3742848*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.127613633 to five dps.\nAnswer: -0.12761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -254. List the prime factors of k.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -8*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (-1*sqrt(80) + sqrt(20))) + sqrt(20))\/((sqrt(110)*-2)\/sqrt(11)).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 20 (c) -0.1 (d) 6.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 11\/2, 0.6, 100?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 - -443\/2. Let i = -0.26 + -0.14. Sort z, -1, i, -3.\nAnswer: -3, -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7968)\/32*(-1)\/3 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/36 and -83\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 14, 0.27, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 0, 5*a = a - 4*v + 24. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 8*j**2 + 3. Let y be -1 - ((-12)\/4 + -2). Let p be c(y). Suppose -3*w = -5 - 1. Solve 3*r = w*u - 3, -3*u - 2*u + p*r + 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 447996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5379 take away 2?\nAnswer: 5377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 7*c - 7. Let s(d) = -d**2 - 3*d - 3. Let l(m) = -6*j(m) + 14*s(m). Let i(p) = 7*p. Determine i(l(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 154 = -3*x + 116, -x + 5*a - 43 = 0. Let g(s) = -3*s - 26. What is g(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -6, 1219, 7 in decreasing order.\nAnswer: 1219, 7, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*p - 21*p + 25. Suppose -2*n = 4*d + d - 22, p = 5*d + 5*n. Solve x = -0*x - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2165 - 1270. List the prime factors of v.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 194. Let l be g(32). Suppose 0 = 5*t - 5*w - 805, -l*t = w - 152 - 170. Are 162 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1864, -7574, -17132, -30538, -47792, -68894?\n\"Answer: -1924*l**2 + 62*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0 - 1) + -18. Let o be (j\/(-2))\/(19\/(-16)). Let w = o - 1597\/114. Calculate the common denominator of w and -35\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {c: 6, j: 7, b: 4}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 10237.\nAnswer: 2047.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o. Let a(v) = 290020*v**2. Calculate a(r(k)).\nAnswer: 7250500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from inzisdznisnd.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-2)\/4)\/((-4)\/24). Suppose -8*s = -y*s + 18. Factor -21\/2*x**3 - 3 + s*x**2 - 9\/2*x.\nAnswer: -3*(x - 1)**2*(7*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 49, 72, 95, 118, 141?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3406, 2, -3, 5, -1, 1 in decreasing order.\nAnswer: 5, 2, 1, -1, -3, -3406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = -1. Suppose -3*l = q*l - 60. Calculate the remainder when (1734\/357)\/((-4)\/(-42)*3) is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 4*u**2 - 2*u - 5. Let o be s(-4). Let k be -8 + 0 + 5 + 7 - -1. Solve 2*g - 5*h - 5 = -3*g, -k*g + 7 = -o*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*h + 227090, 3*h = 2750 - 2744. List the prime factors of d.\nAnswer: 3, 5, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.7051 - 0.0701. Let t = y + -3.8. Round t to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -141851 and -1\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*j - 38 = -58, 8 = -5*m - j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120077 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -z + 4*q, -63*q + 69*q - 12 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6053553600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = 0, 5*v - 2*r + 4 = -2. Suppose -5*y - 23 + 13 = v. Let h be (10 + -9)\/(y\/(-8)). Which is the closest to 0.2? (a) 0.3 (b) h (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 94 - 395. Let y be 5\/((-30)\/16 - -2). Let n = y + u. Sort -4, 1, n in increasing order.\nAnswer: -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2816907632 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 23*d = 7*p - 42, -13*d + 22 = 2*p - 53 + 5 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-1471.\nAnswer: 147.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/41 or 0.081?\nAnswer: 0.081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*w**5 - 24*w**2 + 24*w**2)*(4 + 2 - 4)*(5 - 25 + 42).\nAnswer: -1232*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -21*f**2 - 49*f + 49. Let s(r) = 2*r**2 + 5*r - 5. Let g = -558 + 563. Calculate g*z(n) + 49*s(n).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, s: 1, z: 3, d: 1}. Give prob of picking 1 a and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)*t**(-2\/5)*(t**(2\/3))**(-1\/14))**(-6\/11) assuming t is positive.\nAnswer: t**(1774\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*2\/12*-12. Suppose 3*v - 6 = v, 4*r + u*v = 24. Suppose 2*d - 3*a - 18 = -0*a, r*d + a = 38. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-8) + 1\/(-4). Let t = s + 3. Solve 2*f = w, -3*f - t*w - 14 = -3*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g + 1. Let t be f(1). Suppose o = -2*d - o + 6, -t*d = 3*o - 11. Let x = d - -33. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/5 + 76*z**3\/5 + 642*z**2\/5 - 304*z + 160 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-15)\/9)*1. Suppose t*o - 13 = 47. Let p = -13 + o. Which is smaller: p or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**6\/12 - 23*k**5\/10 - 161*k**4\/6 - 172*k**3\/3 + 96*k**2 + 2134*k. Find d, given that u(d) = 0.\nAnswer: -4, -2, 2\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/(x**(-19)\/x*x)*x**(-3\/5)*x*x**(2\/13))**(4\/3) assuming x is positive.\nAnswer: x**(2744\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 8*h - 54. What is c(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.872393 rounded to one dp?\nAnswer: -90.9","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8*r - 4*r, 0 = -5*r - k + 12. Suppose -4*w + r*l + 48 = 0, 5*w - 60 = -3*l - l. What is the least common multiple of w and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 71*k**2 + 16*k - 15. Let s be r(1). Let h be (-16 + s)*(-2)\/(-4). Calculate the greatest common factor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.9 + 1.9. Let u = -10 - j. Let v = u + -10. Sort v, 3\/8, 0 in ascending order.\nAnswer: v, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/78 and 137\/252?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 2.\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3550313, 3550314, 3550315, 3550316, 3550317?\n\"Answer: v + 3550312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 o, and 1 c when four letters picked without replacement from ocssscssfcsccscsoc?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (320\/720)\/(2\/54)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*1)\/(6 - 176\/30). Calculate the common denominator of 3\/(q\/10) + (-138)\/(-27) and 83\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o - 6. Let x(d) = -4*d + 3. Let a(b) = -3*i(b) - 5*x(b). Let h(u) = 2. Let y(n) = -8*n + 28. Let q(g) = 4*h(g) - y(g). Determine 20*a(m) + 3*q(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c - 5. Let p be t(3). Let i = 33 - p. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*c**2 - 179*c**3 - 777*c**2 - 785*c**2 - 796*c**2 + 3145*c**2.\nAnswer: -179*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0 - 2 - 3 + 4 + (-2 + 5 - 5)*(0 - 1 + 3) - 3 + 1 + 3 - 3 + 6 - 2 - 4 + 5 + 0)*(-1 + 7*r + 6 - 4*r) to the form o + k*r and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71826.19 and 0.13.\nAnswer: -71826.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1107099, -4428407, -9963921, -17713641, -27677567?\nAnswer: -39855699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -r + 7, -5*r + 15 - 5 = 0. Solve 1\/3*a**3 + 0*a**2 + 0*a**4 + 0*a + 0 - 1\/3*a**l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/(-15) + 4 + (-123)\/(-5). Let q be (21\/(-2))\/(-9*(-2)\/t). What is the closest to 1 in 0.2, 1\/3, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 33*k. Let v(b) be the third derivative of b**2 + 0 + 0*b**3 + 1\/3*b**4 - b. Give 2*m(f) - 9*v(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/6 - (1 - 3 - 3). Let m(b) be the second derivative of 4*b + 0*b**2 + 0 - c*b**3. Let u(g) = g**2. Determine m(u(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 3:31 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 23\/(3\/(-12)*-4). Suppose v + o = n, 5*v - 4*o - 98 = 17. What is the remainder when 90 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0*h*h)\/h)**(3\/31)*h**(-4\/3)*h**(-8) assuming h is positive.\nAnswer: h**(-850\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:21 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 17*z**2 + 1. Let s be m(17). Let f be (1 + 4)\/(1 + 0). Put s, -4, f, 4 in ascending order.\nAnswer: -4, s, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 19460*g + 116904.\nAnswer: -4*(g - 6)*(g + 4871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + s = 20. Suppose -s = -0*l - 2*l. Suppose l*o - 50 = -3*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, n: 2, b: 5, w: 7}. Give prob of picking 1 b and 1 n.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 134 - 14. Is (661 - -1)\/(i\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27511244 divided by 1646.\nAnswer: 16714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-15)*(-15)\/3. Does 17 divide (-9 + 1)\/b - -44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*m + 10206 - 10206 in the form l + a*m and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -43*s + 179. Is p(-28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 111, 139, 167, 195?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2. Let s(n) = 270*n + 16. Let k(u) = 675*u + 39. Let c(f) = -5*k(f) + 12*s(f). Let z(o) = -137*o - 2. Let a(x) = 2*c(x) - 3*z(x). Give b(a(l)).\nAnswer: -19881*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164877390 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + -2 - (-3 + (-1140)\/(-378)) and 65\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7404 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -6)*(0 - -1). Let k(p) = -14*p - 2. Suppose -7*y - 3*l + 35 = -3*y, -2*y - 4*l = -20. Let x(m) = 5*m + 1. Determine a*k(d) + y*x(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4 - 44\/(-8)). Factor -a*j + 2 + 1\/2*j**2.\nAnswer: (j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bdddtdddbddbddbbbbd. What is prob of sequence tdbb?\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 222448*m**2 + 20*m - 77. Let h be u(7). Suppose 5*r - h = 5*f, 1841708 - 6201723 = 2*f - 5*r. Round f to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215022 (base 11) to base 2\nAnswer: 1010011110101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 7) in base 12?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*x - 10 = 0, -c - 4 = -5*c + 4*x. Suppose 3*k + c = 2*r, 4*r + 15 = 2*k + 3. What is the closest to -1\/3 in 2, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3800) + sqrt(3800) + (sqrt(38) - (sqrt(342) - -2*sqrt(342))\/sqrt(9)))\/(1*(sqrt(2) + (sqrt(128)*3 - sqrt(2)))).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = 3*w - 2, 2*h = 2*w + 12. Suppose -l = -h*l + 1974. Suppose -3*t + 505 = a + 2487, -l = t - a. What is t rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122413 (base 5) to base 10\nAnswer: -4733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:11 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18669 = -619*s - 2048*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 16. Suppose -f*r + 10 = -10. Let a(u) = 4*u**2 - u - 1. Is a(r) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11370\/4)\/((-90)\/4800). What is s rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -4, -11.\nAnswer: -11, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.6 in -3, -4, -0.3, -1\/77?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 15*s - 539. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 11*z**2 - 4)*(-z - 8*z**3 + 3*z + 22*z**3).\nAnswer: 154*z**5 + 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/((-38)\/(-3) - 8)*-14. Solve n*b = -5*v - 45, 0 = -5*b - 3*v + 14 - 54 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5))\/(((y*y**5\/y)\/y*y)\/y))**(23\/3) assuming y is positive.\nAnswer: y**(-299\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -23.3744 and -0.039.\nAnswer: -23.4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56\/15 - 523\/30. What is the common denominator of -107\/22 and a?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756854?\nAnswer: 2, 7, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376*j + 387*j = 88. Solve j*l - 18*l - 30 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Let s = -6 + t. Let l = -47\/12 + 17\/4. Which is the nearest to s? (a) -3 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*a + 87 = -541*a - 255 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 34. Suppose -3*v + 15 = y, 0 = -2*v + 2*y + 2. Calculate the smallest common multiple of v and -4 - (p*1 + 5 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**3 - 4*l - 5. Let r(j) = 23*j**3 + 39*j**3 - 5*j**2 - j - 1 + 13*j**3 + 5*j**2 - 76*j**3. Let z be ((-1)\/2)\/((-2)\/(-4)). Give z*u(x) + 5*r(x).\nAnswer: 2*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1370846859?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/430)\/(1\/(-8)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from ssdssddsdsdd.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzarazrarzaazza. What is prob of sequence ra?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**7\/63 + 11*p**6\/45 - 13*p**5\/10 + 41*p**4\/18 - 14*p**3\/9 + 175*p. Factor i(o).\nAnswer: 2*o*(o - 1)**3*(o + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(180)*5 + -4)*5)**2.\nAnswer: -150000*sqrt(5) + 2822500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/66? (a) 0.1 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 4*p + 2. Let h be f(4). Suppose -12 = 5*b + 18. Let k = b + 10. Solve 4*w = h*n + 20, -2*n + w + k = 3*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2723, 5783, 9177, 12905, 16967, 21363, 26093?\nAnswer: 31157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11470 divided by -4?\nAnswer: -5735\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 2. Let u(r) = r - 1. Calculate h(c) - 4*u(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215550 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.1 + 2.9. Let o = 9.2 - -0.8. Let u = z - o. Do u and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 0.69?\nAnswer: 6.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -6, -320, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 747 (base 16) in base 3?\nAnswer: 2120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h - 14. Give c(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.4473 and -1.25?\nAnswer: 38.6973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/8 - 15*j**3 + 351*j**2\/8 + j\/2 - 117\/2.\nAnswer: (j - 117)*(j - 2)**2*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 112179707 and 112179707 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138710)\/4940 + 19 + 9.\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + 13. Let g = v - -22. What is the remainder when g is divided by (-2 - 1)\/(3\/(-21))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31006.947402 + -31007. Round q to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) -1 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 36*j**3 + 20*j**2 + 1 + 1.\nAnswer: 36*j**3 + 23*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffifffiffffffiifii. What is prob of picking 1 f and 1 i?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/63 and 23\/3699?\nAnswer: 25893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/17, 2, -14675 in descending order.\nAnswer: 2, 12\/17, -14675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*l**4 + 12*l**2 + 538*l.\nAnswer: 84*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23012021022110 - -2?\nAnswer: -23012021022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 12*q**2. Let c(p) = -p**2 + 5*p - 5. Let v(x) = -x**2 + 3*x - 3. Let m(g) = -3*c(g) + 5*v(g). What is z(m(r))?\nAnswer: 48*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 112102131201 (base 4) to base 5\nAnswer: 2443432120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 22 + -25 + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 + -9 + (-8 - -11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 37960 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 0 + 3\/20*l**5 + 0*l**3 + l - 1\/12*l**4 + 0*l**2. What is the third derivative of a(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -80 (b) 4 (c) -221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/2))**(-15\/7)\/(l**(-1\/2)\/l)**(2\/35) assuming l is positive.\nAnswer: l**(81\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -20*z + 19*z. Solve -z*o - 4*j - 4 - 6 = 0, 4*j = 5*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*z + 10853, f = 2*z + 5*f + 4346. Let y = 1102 - z. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 87484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -31*h**2 + 67*h - 12. Let n(o) = 88*o**2 - 201*o + 34. Let l(w) = 17*i(w) + 6*n(w). Let y(c) = -17*c. Determine l(y(s)).\nAnswer: 289*s**2 + 1139*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 - 4 = -y, -5*y - 2*p = 25. Is 0 + y + 1 + 379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/15 + 27*g**5\/10 - 75*g**4\/2 + 473*g**3\/3 + 726*g**2 + 1945*g. Determine j, given that z(j) = 0.\nAnswer: -1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 5. Calculate the smallest common multiple of (-2)\/(-4) + 28\/p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*f**5 + 244710*f**4 + f**2 - 61*f - 6577.\nAnswer: 1380*f**2 + 5873040*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. What is the tens digit of (p - -1)\/(6\/78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 8.1. Let c = 0.1 - v. Let a = -1 - -2. What is the biggest value in c, a, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761702?\nAnswer: 2, 3, 293617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 44. Let q be r(-14). Suppose -q*y = 55 - 111. Is 7\/(y\/6)*(-974)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r + 3*r)*(-6 + 7 + 6)*(-2 - r**2 + 2).\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 505332916 divided by -4\nAnswer: -126333229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51.09165l?\nAnswer: 51091.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - -5 - (-46 + 43). Solve 5*u + a = -6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 11) to base 9\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 3 + 3 + 1 - 1 - 2*a + (a - 2 + 2)*(2 - 4 + 1) - 6*a + 3*a + a - 7 - 81*a + 61*a + 7 to the form j + l*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 37.5. Put 1\/4, 3, -3, a in increasing order.\nAnswer: -3, a, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 0, 1, -2 in ascending order.\nAnswer: -3, -2, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 greater than 496\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(2475\/(-108)) + 2\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.31 + 0.01. Let m = -206.8 - -207. Let w = s + m. Which is bigger: -2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 12) to base 11\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901276 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -2 - (96\/1104 - (-298)\/276).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 44\/5 of a gram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/21 - -1\/7. Let q = 0.52 + -0.02. Which is the third smallest value? (a) q (b) 2\/9 (c) x (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 313 = -6*r. Let s be (-2 - (r - -4))\/(4 + -3). Let o = 60 + s. What is the greatest common divisor of o and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*g + 111*g + 5*n + 26, -2*n - 16 = -2*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 975, 1956, 2937, 3918, 4899?\n\"Answer: 981*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 4778031*p - 4778028.\nAnswer: -3*(p + 1)*(p + 1592676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1465 + 1465.0000599. What is v rounded to 6 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 17*x**3 + x**2 + 22*x. Let i(m) = 32*m**3 + m**2 + 40*m - 1. Calculate -3*i(h) + 5*v(h).\nAnswer: -11*h**3 + 2*h**2 - 10*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(1\/6). Calculate the highest common divisor of t and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-5 - (-34 + 4 + 81))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -480*o. Let f(n) = -11965*n**2. What is f(g(q))?\nAnswer: -2756736000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1062 = -1182*f + 1173*f. What is the highest common factor of 649 and f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*n = 29*n - 375 - 49. Solve 3*i - 5*i = -4*q + 4, n*i + 5*q + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 10:14 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12480436 + -22?\nAnswer: -12480458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*h - 357 - 483 = 0. Let p be h\/18 + (-544)\/1224. Suppose -3\/2*m**2 - 9\/2*m + p = 0. Calculate m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5 - 48*f**3*x + 23*f**2*x - 24*f*x - 74*x - 2 wrt f.\nAnswer: 40*f**3 - 288*f*x + 46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14168 and 644.\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 2 - 2 + (-2*p + 4*p + 0*p)*(3*p + p - 6*p) + 1569*p + 2568*p**2 - 1569*p.\nAnswer: 2565*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 1, 1857, 8.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**50)**(-22)*(k**2)**31\/(k*k\/(k\/((k\/k**(1\/5)*k)\/k))*k*k*k**6) assuming k is positive.\nAnswer: k**(-5239\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - d**3 - 5*d**3)*(-2*d**2 - 7*d + 8*d + 3*d).\nAnswer: 4*d**5 - 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**8\/2016 + i**7\/315 + i**6\/240 + 2*i**2. Factor n(h).\nAnswer: h**3*(h + 1)*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 57*o - 372. What is m(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 11*l + 2. Let a be v(-11). Suppose -6*y = -a*y - 112. Suppose 8 = 5*i - 0*i - 3*g, -5*i + y = 2*g. Which is greater: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058695891?\nAnswer: 11, 41, 2347441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 180*i**3 + 4536*i**2 - 21168*i.\nAnswer: 2*i*(i - 42)**2*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977 - 211 = 132*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose a - 3*q - 6 = 0, 10 = 4*a - 0*a - s*q. Suppose a = 5*p - 10, -5*l + 4*p + 14 = -3. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -797 + 801. Solve a = 4*t + 8, 2 + 4 = -3*t - l*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g - 25. Give c(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 2\/331, 0.4, -4\/47 in descending order.\nAnswer: 0.5, 0.4, 2\/331, -4\/47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-6) - 4)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(320))*4*4 + -3 + sqrt(320) + sqrt(320)*4 + 1 + 3 + -4.\nAnswer: 29 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 42. Let b be p(22). Suppose -2 = -3*c + 2*a, -b*a = -7*a + 10. Solve c*v = -3*o + o - 4, 4*v = -2*o - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 6*i + 5. Give b(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 438, 1765, 3978, 7077, 11062, 15933, 21690?\n\"Answer: 443*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3481345516 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxkkxgkffcxxxfkgf. Give prob of picking 2 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, g: 6, j: 6}. Give prob of sequence jj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/4 + 62*z + 3844.\nAnswer: (z + 124)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1220, 4902, 11048, 19646, 30684, 44150?\nAnswer: 60032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 12. Suppose p*d - 2*d = 14. Calculate the remainder when 39 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 23*u + 45 - 24*u + 10.\nAnswer: -u + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(174\/12 + -12). Suppose 2*a - 2 = a. Sort -5, 17, a, w in descending order.\nAnswer: 17, a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19024 and -80.\nAnswer: -79.80976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 274 = -3*z. Suppose 0 = 2*d + 5*k - 81, 2*d - z = -2*d - 5*k. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49293 is divided by 800.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5806772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -230382, -460798, -691212, -921624, -1152034?\n\"Answer: t**2 - 230419*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - 116 = 0. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53.1 + -53. Which is the smallest value? (a) v (b) 2 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40302 (base 5) in base 3?\nAnswer: -10112110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110210 - 121011010222?\nAnswer: -121012121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*x - 2721602, 2*x - 1005480 = 5*v + 808893. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*s + 57 = 0, 0 = -425*u + 428*u - 2*s - 93. Which is the closest to 0.1? (a) u (b) -1\/4 (c) 4 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = g - 3*g + 16, 0 = 2*g + 2*p - 32. Let q = 12 + -1. Suppose -17 = -4*l + q. What is the remainder when g is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 3, 5*m + 3*r - 23 = 0. Let f(v) = 56*v**2 - 4869*v - 264. Let z be f(87). Put -2, -1, m, z in descending order.\nAnswer: m, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let h = -40134 + 40142. Which is the second smallest value? (a) h (b) q (c) -5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 28 + 14*q - 65 + 37. Let o(h) = 3*h**2. What is o(a(d))?\nAnswer: 588*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 + 3)) + (3 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2710, 5416, 8136, 10876, 13642?\n\"Answer: p**3 + p**2 + 2696*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-35))\/(-32 - (-12309)\/462).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -5*n - 9. Factor 1\/2*u**2 + 0*u - u**n + 1\/2*u**4 + 0.\nAnswer: u**2*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1*o*o)\/o**(3\/4))**(2\/11) assuming o is positive.\nAnswer: o**(13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -49*g. Let r(h) = -4*h + 90. What is the units digit of r(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(7) + 3*sqrt(7))*6).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(76)\/sqrt(4) - sqrt(19)) + sqrt(19) + sqrt(171) + -1 + sqrt(19))**2 + 2*sqrt(19)*-1 + 3 + -1.\nAnswer: -42*sqrt(19) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (976 - 69*j**3 - 976)*(1 - 3 + 1) - 2*j**2 + 8 + 0 - 2*j**3 - 7.\nAnswer: 67*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1705?\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/179702350 and 55\/248.\nAnswer: 718809400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.21 + 0.2. Let f = h + 0.21. Let s = f - -0.15. What is s rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4489379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o - 201*o + 322 - 579 + 2233 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -35*z**3 + 37*z + 4. Let i(m) = 34*m**3 - 38*m - 3. Let t(d) = -3*g(d) - 4*i(d). Find the second derivative of t(r) wrt r.\nAnswer: -186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 672\/40. Suppose -l + 98 = -o. Suppose 5*a = -0*a + l. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10196 = -2*t - 0*u, 0 = 4*u + 16. Suppose 3*c - 1839 = 3*j - t, -3*j = -4*c - 3250. List the prime factors of j.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294792 is divided by 58681.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22 - 14) + (-8 - (-3 - -2)). Sort -13, q, -4, -5, 2 in increasing order.\nAnswer: -13, -5, -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:02 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 2:46 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 323555 greater than 323428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(((-1224)\/2142)\/((10\/14)\/(-1)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4968117.\nAnswer: 3, 7, 11, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*i = 2*i + 24, 4*l + i = 14. Suppose t + 42 = l*t. Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -215, -203, -187, -167, -143?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 15. Suppose 0*r + m = -2*r - 4*g, 3*r - 4*g = 13. Let f be -4*-3*r\/(-6). Solve 2*q = 3*s + f + 5, -q + 11 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2)\/(1\/(-16*11\/(-1232)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5595*m - 3. Let y(f) = -1535*f - 2. Determine o(y(b)).\nAnswer: 8588325*b + 11187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5 - 5. Suppose -13 = s - 5*d, l*s - 3*d = -8*d + 25. Which is smaller: s or 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -422 + 453. Solve 13*t + 5 = r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 0*i**3 + 6*i**3 - 2*i**4 + i**2 + 1 - 2*i**2 as q + f*i + t*i**4 + w*i**2 + d*i**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -7*y + 50. What is the lowest common multiple of 68 and y?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1188)\/201 + 6)\/(((-768)\/(-32))\/(-8))\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -1 - 5*m + m**2 - 4\/3*m**3 - 1\/4*m**4. What is the lowest common multiple of 1 and r(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + s**5 + 0*s**2 + 0*s**2)*(6 + 11 - 14)*(-3 + 3 + 2).\nAnswer: 6*s**5 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 296.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. Let o = -5 - 0. Let q be m(o). Suppose -2*l - 4 + 0 = 0. Sort l, q, -5.\nAnswer: -5, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11538*s + 0 + 11550*s + 8.\nAnswer: 12*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 56*b**2 + 2*b - 2. Let o be z(1). Let c = o - 24. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h + 3 - 3)*(-48 + 158 + 18 + 2*h) as c + d*h + x*h**2 and give d.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 9859 and -360775060.\nAnswer: -360765201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -53*h + 1. Let b(q) = -107*q + 2. What is -6*b(p) + 14*c(p)?\nAnswer: -100*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687 (base 9) to base 8.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31024 + 44494. Is (24\/(-36))\/((-4)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:44 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207 - 200. Solve k - u = -5*z + 3, -2*k + 5*z = 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*z + 4115 + 32836, -s = 4*z - 12297. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006159 rounded to 6 decimal places?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 1:30 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let b = -56 - -38. Let s = -16 - b. Let w(j) = 3*j. Let o(g) = g. Let t(a) = s*o(a) - w(a). Calculate t(d(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/8)\/(3 + 220\/(-72)). Let w = h - -31. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + 11 + 0 + -5 + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z**2 - z + 6. Determine j(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + (1 - -2) + -3. Let m(c) be the second derivative of 0 - 1\/3*c**3 + 2*c + 2*c**j. Differentiate m(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-5))\/(4\/(-40)). Suppose -m = -3*m + u. Factor -4*k - 10*k**m + 5*k**3 + 2 + 6*k + k**3.\nAnswer: 2*(k - 1)**2*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*k**2 - 32941*k - 34236.\nAnswer: (k - 1268)*(26*k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 1. Let a be o(-1). Let d be -1*(a - -2 - 2). Solve d*c + 2*c = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.4 - 3.26. What is y rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/5 - 14*p**3\/5 - 12*p**2\/5 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 1. Suppose -3 = -i - 0*i. Let o(w) = 5*w**2 + 2 + 2*w - 7*w**2 - w**i - w**2. Let n be (-6)\/(-27) - (-58)\/(-18). Determine n*a(g) + o(g).\nAnswer: -g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2544 = -187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/13 - 202*y**3\/13 + 4932*y**2\/13 - 9072*y\/13 = 0 for y.\nAnswer: 0, 2, 36, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/108617 and -39\/40839992.\nAnswer: 40839992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/3)\/(-12 + 7). Let f(p) be the second derivative of 0 + 0*p**5 + m*p**3 - 1\/4*p**4 + 0*p**2 + 1\/10*p**6 + p. Find the third derivative of f(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/10)\/(11\/(-55)). Let f be ((-6)\/(-5))\/(z\/30). Solve 0 = -h - k + f, -2*h + 5*k + 0 - 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158068.\nAnswer: 2, 43, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i**3 + 83*i**2 + 18*i + 49. Calculate w(9).\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18. Round n to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/31 less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 45 + 21 = 0. Is 76 a factor of -57*16*3*k\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151 * -105.\nAnswer: -15855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 3*z**3 - 2*z + 521*z**2 - 521*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/8)\/((-7)\/(-7)))\/(((-100)\/72)\/(-25)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156284737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 5. Let l = n + 23.5. Let i = l - 17. What is the nearest to -0.1 in 4, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 - 4*u**2 - 26*u + 39. Give d(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, -0.4, -1, 44, 1\/7, 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:49 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*c**2*n**2 - 2*c**2*n + 4*c**2 - 5*c*n**2 - 2*c*n wrt n.\nAnswer: 116*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0766 + 56.8366. What is j rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 2:12 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, -2, 1, 2371, -193 in descending order.\nAnswer: 2371, 1, 0.2, -2, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 0*j - j - 7 + 0 + 4. What is t(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = z - 12, -5*n - 5*z - 1457 + 1342 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -5*q + 22, -4*q + 12 = 0. Solve p = -t - 4*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101100101001 (base 2) in base 16?\nAnswer: -b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*g**2 - 26*g**2 + 191*g - 2 - 214*g + (3 - 7 - 3)*(g - 4*g + g)*(2*g + 3*g - 7*g) to the form s*g**2 + y + u*g and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**2 - t**2)*(4*t**3 - 2*t**3 - 4*t**3) + (-t**2 - 1 + 1)*(-2*t**3 + 3*t**3 - 3*t**3) - t**5 + 0*t**5 + 3*t**5 + 8*t**5 + 0*t**5 + 0*t**5.\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let b be l(-1). Let f = 3 + b. Suppose a + 2 = f. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-217)\/(-36) + 2\/8 and 14\/12*1*(100 - 89)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -945, -3206, -7621, -14910, -25793, -40990, -61221?\nAnswer: -87206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.7 + 0.2. Let y = l + 8. Sort 0.5, y, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 7828820, 5 in descending order.\nAnswer: 7828820, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.02123549 to zero decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27931?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 156199995 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2120923 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94081248 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -295491.7?\nAnswer: -886475.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448305 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = k + 9, 3*l + 0*l - 79 = -4*k. Let g = k + -26. Let y be (g\/15)\/((-2)\/(-390000)). Round y to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - 1\/((-8)\/1412). Suppose 17*p - 500 + u = 0. Solve 7*s - 9 - p = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 484*k**2 + 480*k**2 - 5*k - 969*k**2. Let s(j) = -297*j**2. Give s(f(p)).\nAnswer: -7425*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 = 669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 1. Let i(g) = -10*g**3 + 7*g + 4. Let k be 4 + ((-4)\/(-4) - 1). Let h(x) = k*p(x) + i(x). Find the second derivative of h(j) wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1466659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u + 27. Let w(q) = -5*q + 9. Let g(d) = 6*l(d) - 17*w(d). Let h be g(-6). Solve k + n = h*k + 7, -3*k + 3*n - 9 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (9\/3 - 6). Let c be v - (1 + (4 - 2)). Put -4, c, 5 in increasing order.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 + -12b4552?\nAnswer: -12b4609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 924\/18*396\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 70 + -19 - 58) + -26.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471 divided by 3?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/3)\/(6\/18). Suppose 133 + 41 = 2*w. Let u = w - -23. Calculate the greatest common factor of u and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 21 + -896 + 879. Solve v*s + 21 = 3*x, 10*x - 5*x = -5*s + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9945 is divided by 3059.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, u: 3, g: 2}. Give prob of sequence gzg.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m - 2*f + 5, 0 = -4*m + 2*f + 32. Suppose 5*y - m = -4*x, 5*y - 3*y = -5*x - 10. Let q be (1 + -3)*(-1)\/2. Sort -5, -2, y, q in increasing order.\nAnswer: -5, -2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 4*a**2 - 15*a + 7. Let i be h(-8). Let u = i - 361. Calculate the greatest common factor of 341 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, q: 1, p: 5, k: 1}. What is prob of picking 1 p and 3 d?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460805 is divided by 11239.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 + -4 + (-76)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -16. Let r = j - 11. What is the third biggest value in r, -2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22125000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 5d4e?\nAnswer: -5d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 b when four letters picked without replacement from llblbbbbblllllllbblb.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-11))\/(21672\/(-46354))*18\/4?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 - 57*q**2 + 20*q - 261. Let t be j(-29). Is -2119 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 8*z + 4*z)*(0 + 3 + 0)*(-1 + 3 - 3).\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1.2819596?\nAnswer: 1.2819596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-6)\/(-33))\/(170\/(-187))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*5131.\nAnswer: -46179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1.15, 17499?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2, 3351, -31.59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83129933?\nAnswer: 811, 102503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*b = 392, -4*q + 570 - 50 = -4*b. What is the remainder when 401 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 911216 and 37136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -816 by 68.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in 7, 19, -2\/9, -17\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -5, -27\/13, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1133856, -2267713, -3401570?\n\"Answer: -1133857*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 93 + 45 + 2338*d in the form y*d + x and give y.\nAnswer: 2338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -1)**2 + -4.\nAnswer: -20*sqrt(2) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/20 - 5\/(-4). What is the closest to -8 in j, -0.4, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(((-10)\/(-40))\/((28\/7)\/1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*q = -272*q - 3, 2*w + 5 = 3*q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 1. Let r be k(1). Let v(j) = j + 8. Let o be v(-6). Let w(g) = -2*g**r + 2*g**o - 3*g**2. Let y(c) = c**2. Calculate w(y(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 42*b**3 + 9*b**2 - 7*b - 17. Determine g(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7135 (base 10) in base 6?\nAnswer: -53011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/156188 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -32. Suppose -4 = -u - n. Sort -4, 0, u in ascending order.\nAnswer: -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9 + 0 - 4*x**2 - x**2 + 2 wrt x?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 5*f - 5. Suppose -419*n = -349*n + 280. Let a(z) = -4*z**2 + 4*z + 4. Give n*q(g) - 5*a(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472.9054 tonnes to kilograms.\nAnswer: 472905.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1150 and 31625?\nAnswer: 63250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22356 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 13 + 24*x**2 - 13. Let q = -1487 - -3520. Let y(g) = -q + g + 2033. What is l(y(h))?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102652109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -3 + 1 + 0 + sqrt(11))**2 + (2 + ((sqrt(11)*2)**2 - sqrt(11)) - (-3 + sqrt(11)*-2)) + -4.\nAnswer: -31*sqrt(11) + 753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6379766l in millilitres?\nAnswer: 637.9766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(1\/3)\/(s**(-1\/2)\/(s\/(s*s\/((s*(s*s**(1\/2)*s*s)\/s*s)\/s)))))**(16\/7) assuming s is positive.\nAnswer: s**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.05 (c) -2 (d) 5\/31 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10316\/7 - 112211\/70. Which is smaller: g or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 6:29 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 233*x**2 + 844*x**2 + 175*x**2 + 0.\nAnswer: 786*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -437*u**4 + 136*u**3 + 3134*u + 2 wrt u?\nAnswer: -5244*u**2 + 816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 16\/36*3\/2. Suppose -3*l = -3*k - 2*k + 21, k - 3 = 0. Which is the closest to l? (a) f (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 59453922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**3 - 1806*d**2 + 540*d.\nAnswer: -12*d - 3612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6684 and 5\/28?\nAnswer: 46788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 - (-7 - -1)) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/7))\/(r*r**(-2\/3)))\/(((r**4\/r)\/r)\/r*r**3) assuming r is positive.\nAnswer: r**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**4 + k**3 - k**2 + 1. Let z(t) = 11*t**4 + 6*t**3 - 6*t**2 - 7*t + 6. Let h(m) = 6*g(m) - z(m). What is the second derivative of h(j) wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - -701161?\nAnswer: 701061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94727 or -94725?\nAnswer: -94727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 1090*l - 3279.\nAnswer: (l - 3)*(l + 1093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0)\/(1\/4). Suppose 0 = 9*p - p + 8. Sort p, k, 4.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-8)\/(-20)*(-25)\/(-60)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -2*(-3 - -13). Let o be 4\/u + (-2399)\/(-5). What is i in 375*i**3 + o*i**3 - 49*i**2 - 136*i - 16 + 355*i**3 + 5*i**2 = 0?\nAnswer: -2\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y. Let p be x(5). Suppose h - 41 = -p. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42020 = -37*b + 26*b. Calculate the highest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {f: 1, x: 5, z: 1, c: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 4*z**2 + z + 3. Suppose -3*h - 11 = -4*a, 0 = 4*h + h - 15. Suppose 0 = a*i + 2 + 13. What is the tens digit of u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from qoooxqooooooooi.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)*q**(-6)*q**(-1\/7)*q**(-2\/23)\/q)**(-3\/26))**(-3\/10) assuming q is positive.\nAnswer: q**(-17721\/41860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4546 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29608009 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 17. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29038769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 15) to base 8\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 415173342 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*r + 65. Suppose -r*s + 43*s = -4. What is the derivative of 7 + 34*f**2 + 5*f**2 + 4 - 10*f**s wrt f?\nAnswer: 58*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225594+-3854\nAnswer: 221740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**3 - 41*q**2 + 14*q + 4*q**3 + q**4 - 12*q as m + u*q**3 + k*q**2 + c*q + j*q**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**8\/168 - 37*m**7\/70 - m**6\/8 - 571*m**4\/24 - m**3 + 4*m**2 - 17. What is the second derivative of u(c) wrt c?\nAnswer: -40*c**3 - 1332*c**2 - 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**2\/2 + 18. Let y(z) = -2*z - 2*z + 4*z - z**2. Determine y(v(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 17)*3\/(-6). Let m = w - 9. Let o(c) = c**3 - c - 1. Let z(p) be the first derivative of p**4 - 3*p**2\/2 - 3*p - 2. Give m*z(q) + 3*o(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4567, 18301, 41203, 73273, 114511, 164917?\n\"Answer: 4584*x**2 - 18*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o - 2*g, -o + 13 = -2*o - 4*g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 3*c + 2. Let n be j(-2). Let s(w) = w + 9. Let u be s(-7). Suppose -u = h - n. Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.2 (c) -2\/13 (d) 116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -1\/3, 1 in ascending order.\nAnswer: -1\/3, -1\/14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 + 368*w**4 - 1744*w**3 - 134248*w**2 + 514964*w + 13555256 = 0. What is w?\nAnswer: -13, -11, 17, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 1144 = 9*p - 2444. Solve -p*w + 25 = -74*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9452896*r - 8989548 wrt r?\nAnswer: -9452896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -21, -41, -69, -105?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 2311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 116. Suppose 5*m = -4*d + p, -5*d + 33 = -3*m - m. Suppose -30 = 4*l - d*l. Are 5 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8121*n. Let x(w) = 30*w. Give x(m(d)).\nAnswer: -243630*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 787 is divided by 99.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 3*h**2 - h**2)*((-3 - 1 + 3)*(0 - 3 + 5) - 2 + 5 + 0)*(h**3 - 2*h + 18*h**2 - 18*h**2).\nAnswer: -2*h**5 + 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/16 - (-2401707)\/308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69099 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 41 = -4*z, 5*z = 4*g - 6*g + 30. What is the derivative of 8 + 69*d**3 - 125 + 3*d**2 + 0*d**2 - z*d**2 wrt d?\nAnswer: 207*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*r**3 + 1468*r**3 + 4579*r**2 + 1812*r**3 wrt r.\nAnswer: 18858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -2*v - 0, -12 = -4*t + 4*v. Suppose 2*x - 7 = 5*i + 24, 0 = t*x - i - 11. Calculate the lowest common multiple of x and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -86 + 20 + 200*r + 66. Let f(x) = -4*x. Give f(p(s)).\nAnswer: -800*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35377 + 35380. Let j = 0.1 + -7.1. Which is the second smallest value? (a) j (b) r (c) -1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -11.38\nAnswer: 91.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**2 - 1. Let o = 0 - 1. Let m be n(o). Suppose 1 + 20 = m*t. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110210 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15*-1 - (-4903 + 7)\/(-153)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1674 + -982. Let q = m + -692.0000343. What is q rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 - 6*r - 34. What is the remainder when q(-7) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 917*j + 4 + 538*j - 4.\nAnswer: 1455*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/1 - 0\/2. Let x be (4 - 12\/j)\/(-1). Let c(d) = -2*d**3 - 6*d**2 - 3. Let n(k) = -2*k**3 - 7*k**2 - 4. Let l(u) = -5*c(u) + 4*n(u). Determine l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6584*-0.1\nAnswer: -658.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 3522*u**2 - 1430788*u + 2847480.\nAnswer: (u - 366)*(u - 2)*(u + 3890)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -291202 plus -0.3?\nAnswer: -291202.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44079 is divided by 22023?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocoocccoocooo. Give prob of sequence co.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t. Let w(c) = c. Let r(z) = g(z) + 5*w(z). Let q(v) = 17*v. What is q(r(d))?\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.367161 kilometers to millimeters.\nAnswer: 7367161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122655 and 221.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 3*w**2 + 4. Calculate the remainder when (0 - -1)\/(((-15)\/55)\/(-3)) is divided by g(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11408? (a) 0.06 (b) -1 (c) -2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-3552)*-8*9072\/(-3528).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 2*b**7\/315 - 49*b**6\/360 + 13*b**5\/15 - b**4\/2 + 30*b**2 - 25*b + 1. Let t(a) be the first derivative of l(a). Factor t(u).\nAnswer: u*(u - 6)**2*(4*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:42 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*k**4 - 7*k - 514?\nAnswer: -20*k**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 7*i - 3. Let v be y(-7). Let k be 6\/32*-2*10328\/(-12). Let o = k - 323. Which is the nearest to -1? (a) 0 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100001101?\nAnswer: -100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 3. Let z be (4\/(-4))\/(2\/(-6)). Suppose 3*k + 0*k - 7 = n, 3*k + z*n = 3. What is w(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152 + 76 + 42*b**2 + 81)*(-3*b - 2*b**2 + 3*b).\nAnswer: -84*b**4 - 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6 + -7554182?\nAnswer: -7554191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -43.12. What is u rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -32*m + 4. Let r(s) = -13 + 18*s + 13 - 17*s. What is r(q(v))?\nAnswer: -32*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 5*n**2 + 0*n**2)*(-119*n**2 - 146 + 147 + 32*n**2).\nAnswer: 87*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8596 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 8*l + 7. Let j = 23 + -17. Give k(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 6*h - 9. Let t = -13 - -14. Let k be t\/6 - (-95)\/(-30). Let v(q) = -q**3 + q**2 + q - 1. Let p(r) = k*v(r) + a(r). Factor p(m).\nAnswer: 3*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 399686, 399682, 399678, 399674?\n\"Answer: -4*n + 399690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -6. Let p = 0.091 - -0.309. Which is the biggest value? (a) 20 (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 159241 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5315.3601325 + 5312.13. Let l = k - 2.269853. Let n = l + 5.5. Round n to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-2)*(-3)\/6. Solve -5*k + 4*t = 13, 3*k = 5*t - 7 - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70116?\nAnswer: 2, 3, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13672 and 176.\nAnswer: 300784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*q*u**3 + 2*q*u + 27*q + 2*u**3 + 3851*u + 2 wrt q?\nAnswer: -8*u**3 + 2*u + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -6, 5, 2, -4, -31 in decreasing order.\nAnswer: 5, 2, 0, -4, -6, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 668, 897, 1126, 1355, 1584, 1813?\nAnswer: 2042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/30)\/(52\/((-13260)\/(-153)))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Suppose 5*p = -0*p + 15. Suppose 3*z + 2*i = 2*z + 35, 130 = 5*z + i. Solve -p*b + z = d*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 2*b + 5. What are the prime factors of s(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(1700) + sqrt(1700))*-2 + (1*(3 + sqrt(1700) + sqrt(1700) + 1))**2.\nAnswer: 280*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ej when two letters picked without replacement from {e: 1, s: 1, j: 2, c: 2, y: 10}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12093 + 72629\/6. What is the common denominator of r and -53\/645?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42785285 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/3, 3, -1, 19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 21 - 4)*(4 - 3*k**4 + 2*k**4 - 2) as y + n*k**3 + f*k + g*k**2 + m*k**4 and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 4*p**4 + 2*p**4 + (-1 + 2 + 1)*(6*p**4 - 5*p**4 + 7*p**4) + (4*p**3 - 2*p**3 - 11*p**3)*(-14*p + 2*p + p).\nAnswer: 116*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 93?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 405694*o**2 - 2*o - 11036773?\nAnswer: 811388*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -21, 27, -6.91?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2\/5 + 126*m\/5 - 127\/5 = 0. What is m?\nAnswer: -127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 78959628 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/120 - 2*x**5\/15 + 11*x**4\/24 - 5*x**3\/6 - 2*x**2. Is f(7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -318, -314, -310?\nAnswer: -306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.24 + 0.23. Let i = 0.09 - n. Let g = -2.9677 - 0.0323. Sort g, 0.3, -1\/2, i.\nAnswer: g, -1\/2, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 693 + -649. Calculate the highest common factor of 418 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*a + 699*a = 230*a + 19188 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -702, -1103, -1664?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271527.\nAnswer: 3, 29, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 451*b - 1790. Determine k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205831 less than or equal to 203785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l**6 - 7*l**5 + 75*l**2 wrt l.\nAnswer: 1680*l**3 - 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -257*a**8\/56 - 1859*a**4\/12 + 5269*a**2. What is the second derivative of r(t) wrt t?\nAnswer: -30840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33784136*m**3*y**3 + 6*m**3*y - 130589*m**3 - 2*m**2*y**2 - y**2 - 3*y wrt y?\nAnswer: 202704816*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -7 (c) -14436567\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5*b**3 - 20*b**2 + 3*b - 12. Let f be v(4). Solve f*u = 2*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 - (-1 + -2). Suppose 0 = -10*k + 160 - 10. Solve -v*t = t + k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f + 5*f + 3*f - 5 - 9 + 0*f.\nAnswer: 2*f - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(6*v**3 + 2*v**3 - 3*v**3) + 1 + v**3 - 1)*(0 + 6*v + 0 + 2*v + 0 + 0 + 0 + 0 - 2*v + (0 + 0 + 2*v)*(5 - 5 + 2) - 5*v + 2*v + 4*v).\nAnswer: 66*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4754266337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + 81\/(144\/16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231438 is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556700 and 11400.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*j - 5, 0*x = 2*j + 5*x + 26. Let p(u) = -u + 4. Calculate p(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/3 - 452*d**2\/3 - 1272*d - 2496.\nAnswer: -4*(d + 3)*(d + 6)*(d + 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 + 1085*i\/2.\nAnswer: -i*(i - 1085)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 7*s**2 - 8*s - 6. Let n be c(-6). Let d(v) = v**2 + 8*v - 1. Let u(j) = j**2 + j. Let w(l) = d(l) - 2*u(l). Let o be w(n). Sort 3, o, 2.\nAnswer: o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by 148\nAnswer: 157\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 49*n + 976. Let a(j) = 54*j - 2. Calculate a(d) - v(d).\nAnswer: 5*d - 978","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 1396326\nAnswer: -13963260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(33\/198).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/67 + 205\/134. Let n = -6 - -5.6. Which is the closest to j? (a) -2 (b) n (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3431994 by 3431994.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 + 626*f**2\/7 - 1864*f\/7 + 1240\/7.\nAnswer: -2*(f - 310)*(f - 2)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + h - 12. Let z(o) = -3*o - 3. Let d(f) = 4*f + 4. Let u(p) = h*d(p) + 5*z(p). Let l be u(2). Solve l*b = b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) 0 (b) 6 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-2)\/111). Let y = c + 52. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 141. Let g = 149 - p. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6 - 3 + 10 + 2*n. Calculate z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/(51\/34))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*b + 5, -6*b = -k - 2*b - 2. Suppose 8 = k*q + 2*q. Let s be (0\/6)\/(-1*q). Let a(v) = -v - 2. Give a(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in -2\/7, -1\/3, 33, 5\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -2*o + 5*v + 205, 2*o = v + 215. 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: What is the ten thousands digit of 35378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*n - 17, 4*n = -4*p + 5 + 7. Let k = -127 - -73. Let o be (-3)\/k*(2 + -6). Which is the nearest to -1? (a) o (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/5 - 2298*v**2\/5 + 156636*v\/5 + 529760 = 0. Calculate v.\nAnswer: -14, 88, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let q be p(1). Let h(s) = -31*s + 98. Let w be h(3). Which is the nearest to -1? (a) w (b) q (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/6)\/((-3)\/(-174)). Let u be o\/(-6) - (-3)\/(-6)*-1. Solve 3*c + u = 8*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - ((1 - -42) + (-52 - -50)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**4\/6 + u**3\/3 + 56*u. Suppose 0 = -5*y - 2*h - 0 - 9, 2*y - 2*h = -12. What is v(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-40) + (110\/88)\/5. What is the nearest to 1 in 2, 1, 5, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803826987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.4 - -22. Which is the nearest to 5? (a) q (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11992893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 5.54, -2 in decreasing order.\nAnswer: 5.54, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 8*s - 5*s + 2310. Calculate the least common multiple of 18 and s.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10616 and 5623826?\nAnswer: 2654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1016400 and 280?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42839089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -640 = -17*c + 13*c. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 834393*-102.\nAnswer: -85108086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 99*p + 501. What is the remainder when 226 is divided by t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.01, 15, 0.2, -2\/5, 1 in decreasing order.\nAnswer: 15, 1, 0.2, 0.01, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/(-1)*-8. Let u be (3\/(-3))\/1 + 1. Suppose u*s + g*s + 10800000 = 0. Round s to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4)*u*(u\/(u*(((u\/(u*u**(-1\/10)))\/u)\/u)\/u)*u)\/u)**(-25)*(u**0)**(-1\/49)\/(((u*(u*(u**(4\/9)*u)\/u)\/u*u*u)\/u)\/u**0) assuming u is positive.\nAnswer: u**(-449\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(0*t - 1 - 1 - 2*t) in the form u + h*t and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 - 105*o**3 + 35*o**3 + 18*o**3.\nAnswer: -31*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76300.7t in nanograms?\nAnswer: 76300700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7012 is divided by 111.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22474, -44898, -67268, -89584, -111846, -134054?\nAnswer: -156208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a241 (base 12) in base 9?\nAnswer: -235744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1240 by 2.\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 1\/94?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34490 or 34493?\nAnswer: 34490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4316550?\nAnswer: 2, 3, 5, 7, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 5. Give j(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzuaahuuhppp. Give prob of sequence ha.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let o = 6 - g. Calculate the highest common factor of 6 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -894.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 15) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(11)*-2))\/sqrt(2).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 4*v**3\/3 - v**2\/2 - 6*v + 431. Let a(q) = q**2 - q - 1. Give 2*a(t) - j(t).\nAnswer: -2*t**2 - t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*u - 2, -4*u = -2*o - 2*o + 8. Suppose -20 = -5*g, o*n - 4 = 2*g - 0. Calculate the remainder when 7 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*l - 13, -x - 3*l = -4*x + 21. Let k = x - 7. What is the first derivative of 1 + 5*j**2 - j**k - 5*j**2 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 11*p = -16*p + 22, 5*j - 5*p + 40 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 476012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189755.\nAnswer: 3, 5, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01 + 0. Let f = 0.02 + v. Round f to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/20 - (-10827)\/(-108). What is the smallest value in -2, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580877581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 412 and 172.\nAnswer: 17716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 28*r**3 - 5*r**2 + 9*r - 2. Suppose 0 = 2*j + 4*q, 5*j - q - 3 = 19. Suppose i - 14 = -3*i - 2*b, j*i + 4*b = 20. List the prime factors of t(i).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 4*c - 10. Let h(n) = -2*n**2 + 3*n - 10. Give -2*a(i) + 3*h(i).\nAnswer: 2*i**2 + i - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - z + 11 + 10, 2*f = z - 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssscsscssssss. Give prob of sequence ccss.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-12\/11)\/((y\/(y*y*(y**(-1\/19)\/y)\/y))\/y) assuming y is positive.\nAnswer: y**(-239\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 1475*d + 49920.\nAnswer: 5*(d + 39)*(d + 256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(128)*-4 - (sqrt(400)\/sqrt(2) + sqrt(512) + 0))**2.\nAnswer: -20184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 154 = -51. Suppose 0 = -4*i + 63 + n. Suppose -1262 = -6*m - 45*m + 727. What is the greatest common factor of m and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o - o**2 + 5*o + 3*o + 1. Suppose 0 = 4*l - 7*l + 9, 5*l = -2*h + 31. Is n(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 21. Suppose 2*z - 4 = i. Suppose -b + 9 = -z. What is the highest common divisor of 28 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 438398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25476 + 30687. Which is smaller: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w = 3*g + 850, 2*g - 207 = w. Let o = -142 - w. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 7*f. Determine o(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 887328 and 26176176.\nAnswer: 52352352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -98*l**3 + 4718*l**2 + 4098*l + 882 = 0?\nAnswer: -3\/7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*w - 181*w - 174*w + (-5 + 3 + 3)*(-1 - w + 1) - 2*w + 0*w + 4*w - 2 + 2*w + 2 in the form p + d*w and give d.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 + 10*x**2\/7 - 23*x\/7 + 2.\nAnswer: -(x - 7)*(x - 2)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 148584037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 6*m + 50. Calculate r(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-20)\/4 + 13. Find the second derivative of 768 + f*r**2 - 56*r**2 - 3*r - 743 wrt r.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(23*28\/30268)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {q: 4, s: 3, j: 1, u: 1, n: 2, i: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**4\/7 + 200*t**3\/7 + 15000*t**2\/7 + 500000*t\/7 + 36. Factor f(b).\nAnswer: 4*(b + 50)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 16 = -4*o, -14 = -16*o + 12*o + 5*s. What is the least common multiple of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267570 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9216843?\nAnswer: 3, 19, 97, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 126, -5\/2.\nAnswer: -5\/2, 0.5, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 237740, 237768, 237790, 237806?\n\"Answer: -3*x**2 + 37*x + 237706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:33 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3641 and 132?\nAnswer: 43692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31116 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) - (sqrt(80) + 2 + sqrt(80) + sqrt(80) + 1).\nAnswer: -8*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 4. Suppose -30 + 28 = -r. What is the units digit of l(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 328?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6167965\/138 - -44695. Calculate the common denominator of w and 75\/4.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4 + 5*w**2 - 10*w**2 - 5*w + 4*w**2. Let g be j(-3). Let z be g*((-5)\/(-2) + -2). Which is the closest to z? (a) -0.4 (b) 2\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-945*i - 1079 - 933*i + 1879*i)*(3*i**2 + 2*i**2 - 4*i**2) in the form h + k*i**2 + p*i**3 + b*i and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14095 + -14094.9996026. Round l to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q - 17. Let w(f) = 5*f - 16. Let t(m) = 6*v(m) - 7*w(m). Let d be t(-7). Suppose d*u - 23 = 4. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.69.\nAnswer: 3.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803915 is divided by 200964.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737*w**3 + 1795*w**2.\nAnswer: -4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 15*z + 0*z)*(-4 - 2 + 1)*(-5*z**2 + 3*z**2 + z**2).\nAnswer: 70*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-7)\/147*21\/30?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15809056 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: Simplify (1 + sqrt(1216))**2 + -5 - (4 + (sqrt(1216) + 0)**2) - (1 + -2 + (-3 + (sqrt(2736)*-1 - sqrt(2736)))**2).\nAnswer: -10960 - 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18124 + -17698. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -56 - (54 + -37)) + (-12 - 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -5*m + 56*w - 57*w, -m - w = 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:15 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (2 - 4) - 0) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**3\/6 + d**2 - 2*d. Let r be v(-2). Suppose -14 = -2*a - r. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(3*n - 4*n + 0*n + (-5*n + 2*n + n)*(-5 + 3 + 4) - 10*n + 0*n - 14*n)*(-6 - 1 + 2)*(-2*n + 5*n - n).\nAnswer: -290*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 6300.9, -110 in descending order.\nAnswer: 6300.9, -0.2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08465 and -1.5.\nAnswer: -0.126975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*s + 14, 5*s + 13 = -4*i + 10*s. Let n be (-2)\/8*2 + 2. Which is bigger: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 5*a**2 - 3*a - 3. Let i = -968 + 971. What is m(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102000102 (base 3) in base 15?\nAnswer: 25a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let r = 39 + -39.4. What is the closest to j in 2, r, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -13*z - 3*z. Solve 2 = v - o, -z*o - 4 = v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198658154 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 - 0.49. Are 9\/8 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*a - 47250 = 160*a - 1348*a - 297*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 3*z + 32. Calculate f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -3)*5\/10. Calculate the lowest common multiple of 25 and (-5 + 3)*9\/(-6)*p.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102263113.\nAnswer: 3, 19, 5557, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42273 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/186970 and -64\/441?\nAnswer: 11779110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 15, -2*o + 2*k + 3 = k. Are o and 2\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -4 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*c + 40, 24*c - 20*c = -17*p + 49 + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkkqkqkqqikkuqkqqkk. Give prob of sequence iuqk.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 9. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2944 and 460.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*i**4 - i - 3*i**3 + 23*i**4 + 2 + 34*i**4 as q*i**4 + y*i**2 + a + j*i**3 + u*i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3 + 180*d**2 - 1350*d + 3375.\nAnswer: -(2*d - 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e - -598a51?\nAnswer: 598a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -351886504*p**2 - 175321210.\nAnswer: -703773008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3, -31, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122.46*5.\nAnswer: 612.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-1)*8\/(-3). Let l = -114010 - -114012. Calculate the greatest common divisor of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 157*t**2 + 4*t - 19. Let q(o) = 7*o**2 + o - 3. What is a(z) - 7*q(z)?\nAnswer: 108*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - ((115 - 29) + -56)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let y(i) = -i**2 - 29*i - 3. Give 3*k(r) + y(r).\nAnswer: -r**2 - 26*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 10*t - 7. Calculate w(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3)\/6*(11 + -9). What is the hundreds digit of (-5)\/((-225)\/(-18))*(-1320)\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1366.956 + 1367. Let k = 457 - 458.044. Let z = o + k. Which is the biggest value? (a) -1\/10 (b) z (c) -1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 6. Let v be p(12). Let q = 33 + -59. Let j = v - q. Solve 4*d + j = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*g**3 + 614*g**3 - 296*g**3.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-15))\/((-4)\/(-170))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w - 2. Let h be -1 + ((-16)\/(-1))\/(-4). Let i be z(h). Let a = i + 1. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459)*-2)\/sqrt(9))\/(sqrt(3) + (sqrt(75) - sqrt(3))*-2).\nAnswer: 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 4*q + 5. Let h(p) = -5*p - 6. Suppose 2*j + 3*o + 2 = -0*j, -3*o - 7 = j. Let i(m) = j*h(m) + 6*n(m). Give i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 3*f**4\/4 - f**3\/3 + f**2 + 334*f. Give s(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - -14 - 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*f - 7 = 0, 3*f + 21 = 3*l + 4*f. Sort -3, -607, l in ascending order.\nAnswer: -607, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q + y + 22, 0 = -3*q + y + 56. Solve -x + q = 5*i, 0 = -5*i + 2*x - 5*x + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -312*x - 1353. What is a(-3)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d**2 - 9*d*k - 1337*k + 1 wrt d.\nAnswer: 10*d - 9*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1975*k + 309650. Determine u(-157).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 - p**5 + 0*p**5 - p**5 + 0*p**5 - p**5 + 3*p**5 + 0*p**5 - p**5 + (1 - 1 + p**3)*(2*p**2 + 0*p + 0*p) + 1832*p**3 + 2*p**5 - 1832*p**3 - 98*p**2.\nAnswer: 3*p**5 - 98*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 + 632. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 36*l - 97. Let y(c) = -4*c**2 + 201*c - 212. Let f be y(49). Calculate h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -19. Suppose -6 = -5*c + 759. Suppose -6*b = -9*b + c. What is the remainder when b is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.17, 0, -4, -76, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.9 + 0.1. Let q = 11719 - 11827.54. Let p = o + q. What is p rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 3. Let d be x(8). Let h be 0\/d - (0 - 0). Suppose a + h*a = 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*j + 85*j - 111*j + (j - j + 2*j)*(2 - 2 - 2))*(2*j**4 + j**4 - j**4).\nAnswer: -498*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpppggpjpppj. Give prob of picking 3 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 = -p - 18, 2*p = 6. Suppose 3*u - 5*q = x, 3*q + 10 = 5*u - 0*q. Let n = -0.3 + 0. Which is the closest to u? (a) 1\/8 (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**3 + 74*m**2 - 24*m + 11. Determine u(12).\nAnswer: -6901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 62*i**3 - 13 + 0*i**2 - i**2.\nAnswer: 62*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870 is divided by 739?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*h - 16 = -225*h. Let q be (0 + 2)\/(h\/736*8). Solve -42*f + 8 = -q*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, j: 1}. What is prob of sequence jb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0317 (b) 22.1363 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**4 - 81*z**3 + 5*z - 6?\nAnswer: -36*z**2 - 486*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = -5*o, o - 5 = 2*w. Suppose -6*h + 37 + 5 = w. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17226854 to the nearest integer?\nAnswer: 4151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 7. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*(sqrt(91) - sqrt(91)*-1*3))\/(sqrt(56)\/sqrt(72) + sqrt(7) - sqrt(42)\/(sqrt(30)\/sqrt(5)))*-5)**2.\nAnswer: 421195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (sqrt(1331) + 1 - sqrt(1331))*6)**2*-2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 17726436*y + 17726433.\nAnswer: 3*(y - 5908811)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tit when three letters picked without replacement from {t: 2, i: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.91 + 34. Let i = r + -0.09. Which is the nearest to i? (a) 3\/4 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*m + 1 = 4*n - 999*m, 4*m + 32 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2d833 (base 15) to base 4\nAnswer: 203320131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 425.99999602 + -426. Round u to seven decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + 12?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((0 + sqrt(637) - sqrt(637))*2 - -5*2*sqrt(637)) + (5*sqrt(637)*-1 - sqrt(637) - (sqrt(637) + (sqrt(637) - 3*sqrt(637)*1) + sqrt(637))))**2 + 2.\nAnswer: 163074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 6. Suppose -16 = 4*g, 2*n - 4*g - 8 = 16. Let i(a) = a + 5. What is n*i(k) - 3*h(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4980 is divided by 139?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2. Suppose -9 = 3*u + 3*r, 0*r + 16 = -2*u - 4*r. Let q(p) = p + 5. Let j(d) = u*q(d) + 5*v(d). Let i(h) = 3*h. Determine i(j(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**9\/4536 + i**8\/840 + i**7\/420 + i**6\/540 - 2*i**3 + 12. Let d(k) be the third derivative of s(k). Factor d(m).\nAnswer: 2*m**2*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-2 - (-65 - -53))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaraharrtwawaaarh. What is prob of sequence trw?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -170, -337, -504, -671, -838, -1005?\n\"Answer: -167*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/402 and 47\/1175448.\nAnswer: 1175448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-5253)\/(-15) + (-3)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6008432*m*s**3 - 60757549*s**3 + s**2 wrt m?\nAnswer: -6008432*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -404.7673?\nAnswer: 404.7673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**0)**(-33) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/68*(-10404)\/33048?\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - t + 0*t**3 + t + t**3 + 6*t**2 in the form f*t + r*t**2 + w*t**3 + n and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqxgnaa. What is prob of sequence aex?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2178) - (-1 + sqrt(2178)*1 + sqrt(2178))) + 1)**2 + 5.\nAnswer: -132*sqrt(2) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -1. Let g = 29 + -199\/7. What is the biggest value in i, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151\/726 - -3\/121. Find the common denominator of -67\/33 and x.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(16200\/(-18036)) - 6\/(-10)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 147237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q + 2*q + 0*q)*(-7 + 40 + 10) + q + 4*q - 2*q + 2*q - 7*q + 3*q)*(2*q**2 - q**2 + 0*q**2).\nAnswer: 87*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154.97 + 156.97. Which is the closest to -0.1? (a) 1\/6 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 1. List the prime factors of n(18).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 8:07 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7687 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*m - 13 = 0, -4*x - 2*m + 5979886 = 2*m + 5979894 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 25858.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276914476.\nAnswer: 2, 319228619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68281.\nAnswer: 68281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -66, 18 in decreasing order.\nAnswer: 18, 2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1.7 (c) -3.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/6)\/((-1350)\/13500)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 139890\nAnswer: -27978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(6569631\/1313903 - (5 - 0)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -5.405?\nAnswer: -5.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 135*b**2 - 582*b - 293. Let y be j(49). Let t = -6 - -16. Suppose -5*p + t = 2*z, p = -p - 2*z + 4. Sort y, -6, p in increasing order.\nAnswer: -6, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 38097*z**2 - 152394*z + 152396.\nAnswer: (z - 2)**2*(z + 76198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from {q: 1, s: 2, d: 1, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 29 - 47 = 0. Let l be (-18)\/(-4) + (-6)\/(-12). Suppose -j*q = -l*k + 550, -1 = -2*q + 9. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -0.8. Let g = 0.3 - -12.7. Let v = -12.8 + g. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 16. Solve -3*h + n = -l, 0 = -2*l - 4 - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 18*y**2 - 3*y + 3. Suppose -8 + 2 = -3*k. Let p be b(k). Let j = -346\/5 + p. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 + -12 + 5 - -18?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4348 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1832961 + -1594380.7. Let n = f + -238585.2999975. Let z = n - -5. What is z rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 2:26 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -393 (c) 1\/115 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 - 158. Solve r = -a - 2 - 1, u*r - 5*a + 3 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 137 = -v, 2*v + 3 - 252 = a. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) -2\/11 (b) -48 (c) 2\/11 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.408 (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.8. What is the biggest value in s, -3, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.7 - -6.6. Which is the nearest to t? (a) 0.03 (b) -3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.9. Let p = k - -0.1. Let r = -12101 + 12104. What is the nearest to p in 0.1, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12149 or -24299\/2?\nAnswer: -24299\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -110, -244, -440, -704?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) 1\/5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0, 0.1, 2\/17 in descending order.\nAnswer: 2\/7, 2\/17, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtktgxgaakgtxtxk. What is prob of sequence xk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152729?\nAnswer: 152729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 4\/15*s**5 + 1\/5*s**6 - 10\/3*s**3 + 0 - s**4 - 17*s**2 + 0*s + 2\/105*s**7. Factor l(t).\nAnswer: 4*(t - 1)*(t + 1)**2*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0, -5.87, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -32265?\nAnswer: -32267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(-11*(-9)\/594)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -108*o + 5290. Let p be l(49). Let f = 1.1 + -0.1. Which is the closest to f? (a) p (b) -0.5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 510 = 21*v + 15*v + 8*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 24\/10)*(1643\/(-62) + 29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1458, -1413, -1330, -1209, -1050, -853?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -108 and -108 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 40\/379 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-1\/2)\/x)*x*(x*x**(4\/5)*x)\/x*((x*x*x\/(x*x**(1\/7)))\/x)\/((x*x**(-5)\/x*x)\/x)*(x**(-1\/12)*x*x**(-2\/9))**9 assuming x is positive.\nAnswer: x**(2437\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/156*8\/138.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 925.\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3*m = -43 + 72, 12 = 4*a + 2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34503 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -1 + 10 + -2. Suppose 2*g + 2*r = 20, 4*g - 39 = 3*r - l. What is the remainder when 25 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1788 - -2541. Suppose -2 = g, -j - 4*g + 2*g = -k. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16404 divided by -17.\nAnswer: -16404\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36703 - 36697. Suppose 0 = -5*y + 4*h + 356, -5*y + 367 = h + 6. Calculate the greatest common factor of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1493 by 1.\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let a(l) = -4022539*l. Determine f(a(k)).\nAnswer: 32361640013042*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, r: 1, t: 1, m: 4, x: 6, c: 3}. Give prob of picking 1 r and 1 c.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274477*b + 27876 = 275689*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34104, -136399, -306876, -545523, -852328, -1227279, -1670364?\nAnswer: -2181571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -8.46. Let d = i - -0.06. Let j = d - -0.3. What is the third smallest value in j, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 40, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 932 + -930. Suppose -4*o + 11*g + 64 = 6*g, -32 = -j*o - 5*g. What is the remainder when o is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-161 - -122) + 9 + 22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*s + 36. Let z = 106\/3 + s. What is the second biggest value in 0.15, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 8:11 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 3:08 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2 + 22*v + 8. Let j(o) = -3*o**2 + 14*o + 5. Determine -8*j(u) + 5*p(u).\nAnswer: -u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*x**2 - 410*x**2 - 2*x + 2*x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5539, -11232, -17073, -23056, -29175, -35424?\n\"Answer: s**3 - 80*s**2 - 5460*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, 178, 0, -2, 3, -181.\nAnswer: -181, -3, -2, 0, 3, 24, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 - 17*z + 48. Let u be b(3). Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 21 - 6)*(389 + 112*m + 32*m - 389 - 900*m) as h + r*m and give r.\nAnswer: -11340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*z = -3*w + 76, -76 = -2*w - 3*z. Let j(b) = b**3 + 5*b**2 + 5*b. Let u be j(-5). Let x = u + w. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 7. Let m be f(-6). Let q = m - 3. What is the third derivative of 0*p**6 + 0*p**2 - 2*p**6 - q*p**2 wrt p?\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o*o**(-2\/11)*o*o)\/o)))\/o**1)\/(o**(3\/7)\/(o**(-1\/9)*o)) assuming o is positive.\nAnswer: o**(886\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5031 by -43.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -22.5. Let z = n + 1.3. Let m = -11\/4 - -23\/8. Which is the closest to z? (a) 0.1 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + sqrt(242)*-1*-4 + 0 + -1)**2.\nAnswer: -528*sqrt(2) + 3908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 18 = -6*x. Let k(n) = -n. Let f be k(x). Suppose -3*g + f = -g. What is the remainder when 5 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 1, o: 1, b: 4, i: 1, r: 5, y: 1}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -70. Calculate the highest common factor of 308 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1424557015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 694 - 438 = 0. Calculate the remainder when t is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 6905671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -49 + 48 + 1 + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2060*j**3 + 53 + 15*j + 2309*j**3 - 4*j - 179 - 10 wrt j.\nAnswer: 26214*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -10. Suppose 0 = 5*w - 2 - 3. Suppose 3*x - 4*v = w - 10, 0 = x - 3*v + 8. Which is greater: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655832290 a multiple of 4098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:02 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(3\/3)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 - 3*k - 6. Let z(o) = -5*o**2 - 4*o - 7. Suppose 10*i = -6*i + 1 - 65. Determine i*j(u) + 3*z(u).\nAnswer: u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -t + 5*t - 117011, -117015 = -5*u - 5*t. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x - x + 3*x - x - 3*x - 3*x + 4*x + 0*x + 0*x - 2*x + (4 - 1 - 5)*(x + 0*x + 0*x) + 4*x + x - 7*x)*(3 + 71 + 9).\nAnswer: -747*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-1)\/(-7)))\/(51905\/29660)*9\/(-69)\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188224710 and 87775?\nAnswer: 941123550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2748 = -5*m - 2*q, 2*m - q + 1104 = -3*q. Is (-4)\/28 - m\/14 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 21 + -36 - -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21)\/n)\/((n**(-31)\/n)\/n*n) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 798129163 to the power of 1\/3, to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0, 2394, -9, -5, 55, 1, -2\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k + 3*d + 68, 0 = 4*d. Let t = k + 24. Suppose 2*a - t = a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 24. Let d be g(-13). Suppose 2*y = j - 63, -4*j + 4*y - d*y = -258. What is the highest common factor of j and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 16*w - 6. Let k = 47 - 36. Let f be p(k). Let s = f + -47. Calculate the remainder when 3 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 - -182. Suppose -3*x = 2*u - 31, -x - 2*u = u - 8. Calculate the lowest common multiple of x and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 8*p - 9. Let h be r(-1). Suppose 4*b - 4031 = 3*m - h*m, 3*b - 4*m = 3007. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -15.9955. Round c to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 15) to base 2.\nAnswer: 1011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1245735, -1245737, -1245741, -1245747, -1245755?\nAnswer: -1245765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -656093, -1312158, -1968223, -2624288, -3280353, -3936418?\n\"Answer: -656065*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14927 + -14927. Let x(h) = h - 3. Let r be x(-3). Which is smaller: r or p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - 18\/(-4). Suppose 472 = -5*q - v + 2871, 1900 = 4*q - t*v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 995098 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.219867nm in kilometers?\nAnswer: 0.000000000004219867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -24*t + 52. Let k(g) = -13 + 4*g - 2*g**2 - 6*g**2 + 10 + 2*g**2 + t*g + g**3. Determine k(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131466885.\nAnswer: 3, 5, 11, 796769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0174 + 0.01740702. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-21)\/(-2))\/7. Let d(l) = -l**3 + 2*l**2 + 2*l + 1. Give d(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 201 and -5.\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/8 + 3321*f**2\/2 + 11029041*f\/2.\nAnswer: f*(f + 6642)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/46 and 107\/71990?\nAnswer: 71990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91970 greater than 735765\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/120 + a**5\/40 + a**4\/4 + 11*a**3\/6 - 7*a. Let b(l) be the second derivative of s(l). Factor b(r).\nAnswer: -3*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -13.2?\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 7*a**3\/6 - 7*a**2 + 2*a. Let d(y) = -2*y + 5. Let k be 594\/120 + (-102)\/(-2040). What is k*q(v) + 14*d(v)?\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-102)\/9)*16\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 0.4 (c) -11.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -206*t + 201*t. Suppose -z = 3*d - 0 - 5, -4*d - t = -z. Solve 2*f + 12 = -z*o, 5*f - 3*o + 0 = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 48. Let c be 51 + (1 - 1)\/(2*17\/17). Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4413, -4836, -5273, -5730, -6213, -6728, -7281, -7878?\n\"Answer: -z**3 - z**2 - 413*z - 3998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 685936 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 538*m**6 - 2*m**5 - 30*m**4 - 7*m**2 + 94*m wrt m?\nAnswer: 64560*m**3 - 120*m**2 - 720*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 w when three letters picked without replacement from tttqqttwtttttwt.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(-4)\/100 - (-28)\/5. Let l(m) = 280 - j*m - 280. Let a(c) = -11*c. Calculate -3*a(h) + 5*l(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**2 - 2*r**2 + 10*r**2 + 0*r**2 to the form f*r + l*r**2 + v and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2. Let i be m(2). Let p = 2 - -43. Suppose -16*j + 7*j + p = 0. Solve -j*t + 7 + 3 = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248570035 + 51*k**2 + 248570035.\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 656\/25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (4 + -7 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 1. Let a(v) = 13*v + 2. Give -2*a(l) - 5*b(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8) - 231\/(-84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 8. Let l(o) = -o**3 + 61*o**2 - 110*o - 476. Let w be l(59). Calculate f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37617*a**3 - a**2 - 546*a + 151385975?\nAnswer: -112851*a**2 - 2*a - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1359*k + 5904. What is the ten thousands digit of w(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4775, 9559, 14347, 19133, 23911, 28675, 33419?\n\"Answer: -j**3 + 8*j**2 + 4767*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 n when two letters picked without replacement from {g: 1, n: 1, a: 1, t: 2, w: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 5030.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663217471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31415576 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: Calculate the remainder when 137161 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71400746 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 4*s - 4. Suppose -24*a - 19 = -2 - 65. Let w(i) be the first derivative of -1\/2*i**a - 38 - i. Determine -v(p) + 4*w(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(143) - -3*sqrt(143)))\/sqrt(11).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 529*w\/3 - 15260.\nAnswer: -(w - 420)*(w - 109)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6)*-1 + 9\/(-18). Suppose h = -16*q + 22 + 26. Let 21\/8*r + 15\/8*r**q - 3\/8 - 33\/8*r**2 = 0. Calculate r.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.086*0.07.\nAnswer: 1.54602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/60 - 5*x**4\/6 - 32*x**3\/3 + 244*x**2. Factor v(l).\nAnswer: -(l + 4)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5434199.28472 - 292.\nAnswer: -5434491.28472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3 - -2 - 2). Suppose -3*l - 3*r = r - 45, 4*l - 4*r - 60 = 0. What is the remainder when 34 - -8 - (0 + j) is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 232, 2, -3, 209, 20 in decreasing order.\nAnswer: 232, 209, 20, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = i - 3*i + 11, 3*i - 9 = -2*p. Let z be (-2)\/(-3)*(-150)\/(-20)*i. Suppose -5*u + 10 = z, -h - u = -56. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 - 16*r - 3657 = 0. Calculate r.\nAnswer: -53, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -43?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000252702 rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 649 and 236?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 3*g**2 + 7*g + 15. Is 3 a factor of c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*i = -7*i - 105, -2*i = -q + 110. Calculate the lowest common multiple of q and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 84 = -q + 5*k, q - 72 = k. Calculate the smallest common multiple of 48 and q.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -7, 3, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0 = -s - 1, -2*j - 5*s + 30 = 0. Let k(p) = 6*p - 27. Let h be k(j). Solve r + h*y = 2*y + 8, 0 = -5*y + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from aptptttpyfptwawwft.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -18*n**2 + 6*n - 2. Let m(q) = 37*q**2 - 13*q + 5. What is -2*m(f) - 5*p(f)?\nAnswer: 16*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 663 + -667. Which is the smallest value? (a) 0 (b) s (c) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) 3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**5\/20 + 71*b**4\/6 - 139*b**3\/6 - 141*b**2 - 1567*b. Factor u(o).\nAnswer: -(o - 141)*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105449412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2442720349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9350 and 770?\nAnswer: 65450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 7)\/((-3)\/2). Suppose 0 = -2*f + v + 46, -v = 4*f + t*v - 102. Let m be (2\/4)\/(1\/f). Solve -4*a - 4*y = m, 4 = -3*a + 5*y + 19 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p - 2. Suppose -20 = -5*f, -3*f + 0*f = -q - 7. Let c be w(q). Let a be (15\/10)\/(15\/40). Solve -a*j = c - 29 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.92 + -0.08. Let y = g - -39.3. Let o = y + -1.8. What is the smallest value in -1.7, 2\/5, o?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*w + 106, -2*q - 398 = -5*q + 4*w. Suppose -67 = -7*v + 2*v + i, -26 = -v - 4*i. Calculate the greatest common divisor of q and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -59d?\nAnswer: 59c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 140, -2 in descending order.\nAnswer: 140, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 7*f + 66. Let g = -19 - f. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 8*j**2 + 11*j - 9. Suppose 0 = -3*h + 3*a + 27, -6*a + a + 11 = 3*h. Let r be u(h). What is the greatest common divisor of 95 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2.85 (b) -4670 (c) 0.4 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -0.219?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5861543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37063126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0573 (b) -4 (c) -1472 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f. Let u(t) = -t**3 - 7*t**2 - 10*t - 6. Let y be u(-6). Let k(q) = -y*q + 37*q - 18*q. What is k(p(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (3 + 0)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 54 - 4*y**2 - 14*y**2.\nAnswer: -18*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72\/5 + 283\/20. What is the third smallest value in -2\/7, q, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826223316 to the nearest integer?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 987.464 tonnes?\nAnswer: 987464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.142 + -0.158. Let f = 13 + -19. Let n = f - m. Which is the second biggest value? (a) -1\/2 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**8\/28 - u**4\/2 + 5*u + 2. Let g(j) be the first derivative of l(j). What is the third derivative of g(x) wrt x?\nAnswer: 720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.13 - 1.13. Which is the second smallest value? (a) k (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s - 187 = -26*s. Does s = -188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/15 + 3*v**3\/2 + 3*v. Let p(k) be the second derivative of d(k). Let q(n) = -n. Give p(q(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14442*c**2 + 52*c + 14. Let t be x(-21). What is t rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 53.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/120 - l**5\/20 + l**4\/6 - 4*l**3\/3 + 4*l**2. Calculate the smallest common multiple of r(4) and 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1\/((-1)\/(-4)). Solve t*j - 3 = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25861644 divided by 36\nAnswer: -718379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54*0.2.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 9*x - 5. Let m be h(-8). Let t = 18 - m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -96922*a**3 - a**2 + a - 1. Let y be d(2). Let b = y + 8580820\/11. Let m = -4699 + b. Calculate the common denominator of -27\/4 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*(-3 + -4*((sqrt(147) - (((sqrt(147) - (0 + sqrt(147)))**2 - sqrt(147)) + 1 + sqrt(147))) + 2*sqrt(147) + -2)).\nAnswer: -108 + 1008*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -703 + 243. Suppose -3*y + x = y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llggg. What is prob of picking 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-1)\/(-1)) + 5. Suppose m*z - 2*z = 16. Let j(l) = -37*l - 21. Let b be j(-1). Solve 5*k + p - 36 = 5*p, z*p + b = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33025 + 1773. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-2)))\/u**3)**(-2\/45)\/((u**3\/(u\/(u\/u**(-2\/11))))\/(u\/(u**(-5)*u)*u*u*u\/(u**(-4)*u*u))) assuming u is positive.\nAnswer: u**(3397\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-567)*-3*(-6)\/(-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 68, 67, 66, 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293525019 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-1*sqrt(88) - sqrt(88)) + sqrt(88)) - sqrt(88)*-1*-4)\/(sqrt(1152) + -4*1*sqrt(1152)) + 2.\nAnswer: -sqrt(11)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - 5)*(-1)\/2. Let t = 2 - j. Solve 1 = -u - 3*a, -t*u + 2*a - 10 = -0*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 + 14822*f**4 + 54952558*f**3 + 219647216*f**2 + 274496041*f + 109786562 = 0. Calculate f.\nAnswer: -7409, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47203589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641*c - 17996 + 22890 = -39976 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**2\/3 - 1195*i\/3 + 1190\/3 = 0.\nAnswer: 1, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 8 = -4*b. Suppose 0 = -4*z - 4*j + 136, -4*z + j = -b*j - 157. Solve 5*w - z = 3*k, -11 = -2*w - w - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -116133 greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -3 - 3\/200*a**6 + 0*a + 2*a**2 - 1\/350*a**7 + 3\/40*a**4 + 1\/100*a**5 + 0*a**3. Determine g so that u(g) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -1783*q + 1787*q + 22, -2*q = y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6574, 4 in ascending order.\nAnswer: -1, 4, 6574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**9\/6048 - q**7\/840 + q**5\/240 + 4*q**3 - 2. Let c(f) be the third derivative of s(f). Factor c(p).\nAnswer: p*(p - 1)**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y - 1. Let i be q(3). Suppose -2*v + 81 = 31. Find r, given that -8*r + 3 + 5*r**2 + v*r**3 + r - i*r**3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21840250 is divided by 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Let m(w) = -259*w + 2. What is m(r(l))?\nAnswer: -259*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 178141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.6 + -36.3182. Let i = 0.259 - k. What is i rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*k**3 - 4*k**2 - 48*k**3 + 10*k**3.\nAnswer: -144*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8 - (2 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*w**3 - w**3 + 1 + (22 - 3 - 4)*(-18*w + 18*w - 14*w)*(-4*w**2 + 0*w**2 + 2*w**2).\nAnswer: 422*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = -5*z - 0*w, 0 = -3*z + 2*w - 1. Suppose -8*r - 64 = -4*r. What is the remainder when (z - -2)*r\/(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 - 4.93. Let u = -0.07 + m. Let x = 271.2 + -270.8. Which is the fourth biggest value? (a) -5 (b) 5\/4 (c) u (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1485 + 1294. Which is smaller: c or -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 30*n. Calculate q(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -612106, -612070, -612038, -612010, -611986?\n\"Answer: -2*f**2 + 42*f - 612146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -390, -4, 1, 0, 0.01, 3, 0.09?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k - 28. Let j be y(7). Let z = -73 + j. Let c be (-10)\/(-42) - z\/7. What is the nearest to 3 in 6, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842623779.\nAnswer: 3, 4793, 58601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3699678 and 163500.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {a: 2, h: 1, o: 5, f: 1, w: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 19*o**2 + 370*o + 1500. What is m(-34)?\nAnswer: 6260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 - 3*t**2 + 2*t**2 + 0*t**3)*(8*t - 9 + 9) - 3 + t**4 + 3 - 3*t**2 + 3*t**2 + t**4 in the form d*t**2 + c + m*t**4 + p*t**3 + j*t and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919522788.\nAnswer: 2, 3, 59, 601, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 8. Let y be n(6). Let w(k) = -2*k - 4. Let s be w(y). Let t = s - 2. Solve 2*q + 3*a + t = 7*a, -5*q - 3*a - 18 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 21*l + 12. What is w(-16)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(325)).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14282 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -225*c + 244*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.285004 weeks in microseconds?\nAnswer: 5615570419200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26528\/3360 + 4\/(-42) and 32\/2315.\nAnswer: 2315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-25)*55\/(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z + 7. Let q = 13 - 10. Let y be -1 - (q*-5)\/3. Let i = 4 - y. Give b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 2*f + 1. Let o(a) = 39*a - 236. Let j be o(6). Give v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.835 + 232.165. Is -15 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/140*-10 - (74\/(-999))\/(4\/6).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -25 and 448314.\nAnswer: 448289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7737c - -d?\nAnswer: -b7736e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162634108 + 390949000. Let p = w - 228314959.0000062. Let a = p + 67. Round a to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (19694\/(-1832))\/((-294)\/(-4)) and -35\/4.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**4\/96 + o**3\/24 + o**2\/16 - 21*o + 25. Let c(h) be the first derivative of w(h). Let c(s) = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1667\/5 - -13351\/40. What is the closest to 2\/9 in 1, -21, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (-1 + sqrt(3))**2*6)*1.\nAnswer: -11*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*l + 256, 415 = -6*x + 2*l - 353. Let c be (x\/72)\/(-4) - (-41)\/9. Solve -2*b + c*j = -30, 4*b + 2*j + 18 = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 2. Let h be d(-2). Let j(b) = -b**3 + 6*b**2 + 2. Let q be j(h). Solve -c = -q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)\/(v*(v**(-6\/11)\/v)\/v) assuming v is positive.\nAnswer: v**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsst when four letters picked without replacement from sssgsssttsssss.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 73*m + 64. Let t(u) = 147*u + 143. Determine 13*d(y) - 6*t(y).\nAnswer: 67*y - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 713900, 2855600, 6425104, 11422412, 17847524, 25700440?\nAnswer: 34981160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1833*n**2 - 4*n - 5. Let w be x(5). Suppose 3*c - w = -4*f, 5*f - 21218 = 4*c + 36032. Suppose 4*i + 150 = -f. Round i to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 242 + 22*w**3 - 6 - 236 - 9*w**3 - 3*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:24 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39000282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-5 + 4 - 5 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0104328 + -0.0184. What is o rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 17*m + 74. Let y be n(10). Suppose 8*f = y*f + 24. Solve 3*t + 8*a + 6 = f*a, -3*a + 17 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 8*k - 13. Let j be (3\/4)\/(27\/(-216)). Is 21 a factor of x(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19234*z**2 + 6439*z**2 + z**3 + 6400*z**2 + 6395*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4081, -3594, -3107, -2620?\nAnswer: -2133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htv when three letters picked without replacement from nhvhhhhhhhnhvt.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -2b5?\nAnswer: -2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 415 + -112. What is the greatest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, y: 1, l: 6}. Give prob of picking 1 l, 1 y, and 1 m.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 4*o - 5*o)*(3 - 5 + 4) + 5*o - 5*o + 2*o + (1 + 3 - 3)*(-2*o + 0*o + o) + (-20 - 11 - 14)*(3*o + 0*o - 9*o).\nAnswer: 275*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-105)\/(-770))\/((-1)\/3*18\/4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 8*d + 7. Let o be (18\/8)\/(1\/(-4)). Let a be 6\/o*42\/(-4). Let s be h(a). Solve 4 = -i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*k + 2*o + 101 = -120*k, -16 = k - o for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2630 or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 54904 (base 11) to base 8\nAnswer: 233406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23148 is divided by 5782?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, -898, -442 in decreasing order.\nAnswer: 98, -442, -898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11274\/155 + -364\/5. Let l = w + -21\/155. Suppose 2*g + 10 - 2 = 0. Which is the second biggest value? (a) l (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 2*j**2 + 3*j**2)*(-2 - 2 + 2 + (1 - 3 - 1)*(-2 + 1 + 4) + (-2 + 1 + 2)*(4 - 5 + 4)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2)*2)**2 - (3 + sqrt(2)*1).\nAnswer: -sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 125200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-2)\/498). Suppose g + 31 = 2*v. Let t = v + -10. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11947355 and -0.4.\nAnswer: -4778942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4037, -8182, -12435, -16790, -21241, -25782, -30407, -35110?\n\"Answer: t**3 - 60*t**2 - 3972*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:48 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -r - 0*r. Let h = -23 + r. Suppose v + 0*v - 3 = 5*g, -h*g = -2*v + 24. Calculate the least common multiple of 2 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1042.85 + -1011. Round n to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 347, 1304, 3487, 7508, 13979, 23512, 36719?\n\"Answer: 102*t**3 + t**2 + 240*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*g**2*i*v - 11*g**2*i + 178*g**2*v - 19*g**2 - g*v + i*v + 2*i wrt v?\nAnswer: 11*g**2*i + 178*g**2 - g + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 9 - 596*v + 603*v + 3 + 2.\nAnswer: 7*v + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*s**2 - 6*s**2 - 9*s**2 + (s**2 + s**2 + 0*s**2)*(-3 + 1 - 2) - 7 + 2*s**2 + 7 + (2*s + 3*s - 3*s)*(-3*s - s + 5*s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:42 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let i be f(-2). Let o(p) = -p + 10. Let x be o(10). Sort i, x, 1 in descending order.\nAnswer: 1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 25*p**3 + 3*p**2 + 3*p + 1. Let q be s(-2). Is -2*(1 + q\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6655 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.5 + -11. Let d be -1*(1\/4)\/(12\/(-16)). What is the smallest value in d, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 38*r**2 + 15*r - 4. Let h be g(-4). Suppose 0 = -a + 4*j + 103, -4*a - 4*j - 72 + h = 0. Is 73 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15\/2, 7, 0, 0.1, 27283, -3, 1 in increasing order.\nAnswer: -3, 0, 0.1, 1, 7, 15\/2, 27283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**2 + 13*h + 12. Calculate p(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/70 and 111\/64533350.\nAnswer: 64533350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 4:54 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4107 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m**3 - 13*m**2 - 15*m - 11. Let u(s) = -5*s**3 - 7*s**2 - 8*s - 6. Let h be -12*(-5)\/(-10) + 0. Calculate h*r(n) + 11*u(n).\nAnswer: -n**3 + n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11220*m - 11803447. What is v(1052)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 + 2*m**2)*(0*m + 0*m + m**3) + (51*m**2 - 222 + 222)*(3*m**3 - 3*m**3 - m**3).\nAnswer: -49*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -364\/43?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-82)\/12*2. Calculate the highest common divisor of 451 and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.7812 + -0.0812. Let l = g + -43.69999803. Round l to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2938*c*t*w + 20*c*t + 6*c - 11*t wrt w.\nAnswer: -2938*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8640294699618495 - 8640294880328372.93999931. Let q = t - -180709879. Let x = q - 1.06. Round x to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 9:44 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25705, 25714, 25727, 25744?\nAnswer: 25765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/11 + 226*c\/11 - 4140\/11.\nAnswer: -2*(c - 90)*(c - 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 15*o - 40 = 0. Suppose -5*r + o + 132 = b, r - 34 = b. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 129791 + -88578. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.1541 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 335 and 233690.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 313.6 - 314. What is the fourth smallest value in 0, 5, w, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 - 331. Let r(s) = -3*s**2. What is r(c(i))?\nAnswer: -48*i**4 - 7944*i**2 - 328683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let l(h) be the third derivative of h**5\/20 - 14*h**2. Calculate j(l(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1838 = 102*n - 2 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.200606 millennia in years?\nAnswer: 2200.606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 66003.49 years?\nAnswer: 660.0349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 = x, -10 = -4*x + 4*j + 14. Suppose 2*m = x*l + 1589, 4*l = m - 314 - 479. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23559829 is divided by 867?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h**2 + 7*h + 5. Let j be z(-5). Suppose p = -2*y + 12, 4*y + 33 - 93 = -5*p. What is the highest common divisor of p and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = o. Let c(g) = -g**3 + 19*g**2 + 21*g - 4. What is the remainder when 45 is divided by c(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -3\/7*v**3 + 0 + 13*v + 1\/28*v**4 + 15\/14*v**2. Factor k(t).\nAnswer: 3*(t - 5)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 + 109. Suppose -4 = 3*g + 5. Let q be g\/(-2)*13\/(-39). Which is the second biggest value? (a) q (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v - 3*c, -7 + 2 = -v + 2*c. Suppose p - v - 1 = 0. Suppose 4*b = p*l - 438, -l = 2*l + 2*b - 625. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*v = 17150, -59*s - 3*v + 25725 = -56*s. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:29 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22609266 is divided by 85.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 4*m**2 - m - 3. Let z = -14 + 19. Let u(f) = -3 - 5*f + 3 - f**3 - z*f**2. Let c be u(-4). Calculate w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.800459 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + (-216 - -247 - (44 - -1)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqpiqqqliriqp. Give prob of picking 1 r, 1 q, 1 l, and 1 i.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 922548 and 13014?\nAnswer: 8302932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-1203 - (-27 + 20)). Which is bigger: b or 1194?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -248*z - 2003. Calculate c(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 = -3*o + 4*j + 226, -3*j = 5*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 * -2.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(5\/2)*(g*g*g\/g**(-1))\/g)**3)**46 assuming g is positive.\nAnswer: g**207","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-904)\/(-40680))\/(1\/(-6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16470 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*m - 4*m, 5*p = -3*m - 4. Does 4 divide 11\/((p\/1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 11*s - 67. Let c be r(-9). What is the nearest to -0.3 in 3, 0.1, c, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 111\/23, 2\/27, -2\/3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42522444.\nAnswer: 2, 3, 269, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1 + (-50)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 9*h**2 + 16*h - 17. Let l be i(10). Solve 5*w = -b + 18, l*w - 41*w + 9 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c - 18*c - 18*c + 2*c**4 + (-6*c**3 + c**3 + 2*c**3)*(0 + 2*c + 0).\nAnswer: -4*c**4 - 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -33\/5*u**6 - 6*u**4 + 0*u**2 - 231\/25*u**5 + 26*u - 8\/5*u**3 - 9\/5*u**7 + 0. Determine r, given that j(r) = 0.\nAnswer: -1, -2\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23888 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*l = 4*g - 204, -5*g + 9*l = -297. Suppose -5*m - 40 + 445 = 0. What is the highest common divisor of m and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d7 (base 16) to base 3\nAnswer: 2101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2)*(-31 + 32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1721822.\nAnswer: -2\/860911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1 - w - w - w**2 - 6 - 2*w. Let m(r) = -r**2 - 6*r - 10. What is -5*m(f) + 7*s(f)?\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -668, -1336, -2006, -2678, -3352, -4028, -4706?\n\"Answer: -r**2 - 665*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((3654\/60)\/(-87))\/(4\/(-40))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 + -1.3. Let o = 3 + -2.9. Let d = o - l. Are -2\/3 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 3. Give r(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let q(s) be the second derivative of -101*s**3\/6 + 5069*s - 1. Determine q(n(x)).\nAnswer: -202*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6000 + 5a1?\nAnswer: -583d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 76. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-1 - (-6 + 14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 320, 0, -0.2, -0.1, -26, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6174 is divided by 156.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121102110221012120 + 1?\nAnswer: 121102110221012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 + 4*p**3 + 144*p**2 - 144*p = 0. What is p?\nAnswer: -6, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 22*d\/3 + 7.\nAnswer: (d + 1)*(d + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let b(v) = 3*v**3 - 14*v**2 + 8*v + 2. Let c be b(4). Let l(g) = g + 2. Let p = 368 - 371. Calculate c*n(t) + p*l(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 3*y**2 + y**2 - 3*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 225341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8900000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - v + 20000. Let u = -9 + 9. Let s be n(u). Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + -45. Solve y = -5*q + g + 2, 8*g = 3*q + 3*g + 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 818*r - 696936. Determine w(532).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 - 27*b - 42 = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d + 1. Suppose -3*m = -0*j + 2*j + 2, -16 = 4*m. Suppose j*x + 2 = -13. What is the remainder when 48 is divided by v(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = -5*b - 3*w, -w = -1. Suppose -b*z - 12 = -4*z. Let i = z - -5. What is the remainder when 20 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -18*r - 53. Let d be t(-3). Is -6\/107 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -4, -12, 10 in increasing order.\nAnswer: -12, -4, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -31*s**2 - s. Determine t(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*n + 86. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 835 - 818 = 27*p - 415 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2037*k - 2035*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/105 + (72\/4340)\/(147\/(-5880)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*i = 0, 2*i = 3*u + 4*i + 3. Is 12 a factor of 3\/((-6)\/(-32)) - u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b + 21*b - 142 = 0. Solve 5*i - 8 = -2*c + 7, b*c + 15 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 135*(-21)\/(-18)*2. Suppose -96 = -3*s + 9. What is the greatest common factor of s and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 561 - 786 + 5388*p**2 + 225 - 11730*p**3 wrt p?\nAnswer: -70380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -234.397\nAnswer: 46.8794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1436550 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (2\/16)\/(42\/(-868)). Let r(u) be the second derivative of -3\/2*u**2 + 0 + 0*u**3 + s*u**4 + 6*u. What is the derivative of r(d) wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138759246 by -6.\nAnswer: 23126541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4725 and 5125869.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7793 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.8 - 4.8. Let r be (2 - 13)\/1 - -1. Let i be (18\/(-75))\/((-2)\/r). Put h, -1, i in descending order.\nAnswer: h, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u**2 + 12*u - 493. Let b(q) = -6*q**2 + 10*q - 490. What is 6*b(h) - 5*d(h)?\nAnswer: -h**2 - 475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 3\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -167? (a) 1\/9 (b) 5 (c) -1 (d) 1 (e) 0.119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 1427784.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 166 + 484. List the prime factors of x.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/24)\/((-4)\/30). Sort b, -0.4, -2\/3.\nAnswer: b, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*p + 21, -21*p + 24*p = 9*v - 18. Solve -5*r - 102 = -2*t - 86, -17 = -p*t + 4*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 7*h**2 - 9*h - 2. Let v be w(5). Suppose 0*l + v*l = 60. Let f = 22 - l. Solve f*b + 15 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2391?\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 997250 and 195361275?\nAnswer: 1953612750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1573?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0 - 6*z - 3 - 10 - 5. Let m be f(-8). What is the highest common factor of m and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -844940?\nAnswer: -7\/211235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -7. Calculate the remainder when y is divided by 2 - (1 - 10\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/7 - 14*y**2 + 418*y\/7 - 318\/7 = 0.\nAnswer: -53, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - 10 - (7 - -9 - 34 - 5)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(4050)*2 + sqrt(4050)) - (sqrt(4050) + -1 - sqrt(4050))*2) + 0 + (sqrt(250) + 1*sqrt(250))\/sqrt(5) + 5)**2.\nAnswer: -1750*sqrt(2) + 31299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1491 - 1496. Let r be 51\/(-15) - 4\/(-10). Sort r, 2, y in descending order.\nAnswer: 2, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114022 + -114017. Suppose 0 = 6*v - 3*v - 6. Solve -22 = -3*l - a*k, 0 = l + v*l - 5*k + 28 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*k = -2*m - 1, 0 = m - 4*k + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from {d: 4, q: 4, i: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:44 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*k = 0, 5*b + 11*k = 9*k + 28. Let r = 3 + 0. Suppose 5 - r = y. Is b at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1119888 and 3385116.\nAnswer: 148945104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 9.2. Let d = c + 1. Let t = -0.2 + 0.1. What is the third smallest value in d, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-27)\/(-4)))\/(8\/(-1)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.3, -114, -0.1 in descending order.\nAnswer: -0.1, -0.3, -4\/7, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -234, -537, -972, -1545, -2262?\nAnswer: -3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 672.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/774 and -91\/7740.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:04 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l - 10. Let n = 20 - 7. Let h be n\/1 - (6 - l). Solve -4 = -4*t + 4*p, t = -3*t - 4*p + h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -11*i + 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1642*p + 13234307 - 13234307)*(-3*p**2 - 2*p**3 + 3*p**2) + p - p + 2*p**4.\nAnswer: -3282*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(72)\/sqrt(3))\/sqrt(8) - ((1 + sqrt(243) - sqrt(243)) + sqrt(3)))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, 3383, 13291, 32613, 64487?\nAnswer: 112051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 - -0.29. Let h = 1.2 + -1.6. Which is the third biggest value? (a) 0.4 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/(1 - (-4)\/(-1)). Is (23198\/3 - t)\/(18\/27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qot when three letters picked without replacement from tttqttott?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) -2.8 (c) 11\/74 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121)\/(-9) - 188\/423.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 50812*z**2 + 23*z - 14. List the prime factors of d(1).\nAnswer: 50821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = 7*n + 9*n - 0*n - 484 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/12 + 25*t**2 - 2500*t - 68. Factor m(d).\nAnswer: -(d - 100)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3303 (base 5) to base 11.\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -4*(1 + sqrt(19)) + sqrt(171)\/sqrt(81) + 1.\nAnswer: -8*sqrt(19)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15611 or 0?\nAnswer: -2\/15611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 6*a - 9. Suppose 132 = 3*x - a*r, r - 9 - 29 = -x. Let f = -26 + x. Solve -5*d = -2*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 10*q. Let b(h) be the first derivative of -1 - 11\/10*h**5 + q*h**3 - 5\/4*h**6 + 0*h + 0*h**2 - 1\/4*h**4. Let b(y) = 0. What is y?\nAnswer: -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, u: 2, o: 4, n: 2, s: 1}. Give prob of sequence ouo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 7.4. Let f = q + 6.7. What is the third smallest value in 3, -2, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 31*a**2 + 89*a - 35. What is the remainder when 522 is divided by c(28)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1944829920 to the nearest 100000.\nAnswer: 1944800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 5*q**2 - 8*q - 7. Let p be r(-6). Let a(k) = 5*k + 66. Let y be a(-10). Suppose 0 = -p*u + y + 14. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -138, 4, -1 in descending order.\nAnswer: 4, -1, -30, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-29900)\/1564 - (0 - 14\/119)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:07 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1326360 or 1326352?\nAnswer: 1326360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 5. Solve 10 - 2 = k*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/4, 0.1, -2, -346\/11.\nAnswer: -346\/11, -2, -0.3, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose 0 = 4*n + 4*y - 7*y + 1440012, 0 = -n - k*y - 359988. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 - k - 4. Calculate the remainder when v(-3) is divided by -1 + 7 - (0 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhhamhxoux. What is prob of sequence axu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222029609 to the power of 1\/3, to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1648415013.\nAnswer: 3, 7, 17, 29, 89, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r = -14*r - 9*r - 252 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1289 divide 195347950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3979 - 2012 = 2*b + 1997, 0 = 2*k - 2*k - 2*b - 6 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 1040 + 2*g - 5*g**3 - g - 1040.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1284 + 14*x**3 + 12*x**2 - 1135 + x - 11*x**2 to l*x + h*x**2 + r*x**3 + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -62. Suppose -4*o - 23 = 2*i - i, y = -4*o + 3*i - 11. Let l(c) = 20*c + 32. Let d(s) = 7*s + 11. Let x(p) = 14*d(p) - 5*l(p). Calculate x(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1846 by -2.\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20805188017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1878)\/29735)\/((-4)\/(-20))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/((-1308)\/4360)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + q + 1. Suppose -38 - 2892 = 2*f - 5*i, 5*f + 7340 = 5*i. Let w = 1484 + f. Calculate the least common multiple of u(-1) and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.829 - -3994.829. Let a = u + -3989.7233. What is a rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56676\/11 at least as big as 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let r be c(-3). Let l = 33\/112 - 1\/112. Suppose 5*u = -4 - 11. Sort u, l, r.\nAnswer: u, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 20*x + 1. Let j be v(20). Let o(d) = 2*d + 6. Let r be o(-3). Let k(a) = 4*a - 4*a + 1 + a**2 + r*a**2. Determine k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, i: 3, s: 6, g: 2}. Give prob of picking 1 s, 2 g, and 1 a.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264\/5? (a) 2\/11 (b) -4 (c) 2\/7 (d) -2 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -6*(-4)\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -492\/403, -1\/7, -2, 3\/7, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1576*d*g**3 - 24120139*d - 18345*g**4 + 1 wrt g.\nAnswer: -4728*d*g**2 - 73380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13. Suppose 0 = -w*h - 4*h + 5*p + 10043, -10073 = -4*h - p. Suppose 0 = 4*i + 5*g - 1568, -516 = 5*i - 4*g - h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvbn when four letters picked without replacement from {n: 5, b: 1, m: 1, v: 2}?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/60 - q**4\/24 - q**3\/6 + 3*q**2. Let u be b(-1). Is u != 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 - -204. What is the closest to a in 16, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90829364?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 5. Let p = -289 + 294. Suppose -p*v - 8*a + 70 = -7*a, 3*a = 2*v - 45. Give z(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*t + 5636319 = 5616720 for t.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 198277, 198276, 198275, 198274, 198273?\n\"Answer: -t + 198278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 193727425*i - 71928015.\nAnswer: 193727425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 4962924.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -24. Is 2 a factor of 15 - (-4 + 2 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-257*p + p**2 + 257*p)*(2 - 2 + 2*p**3) + (0 + 0 - 2*p**2)*(-3*p**3 - 2*p**3 + 4*p**3).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - 3 + 3 + (-6 + 6 - 7)*(3*c**3 + c**3 + 2*c**3) + 0*c**2 + c**3 + 0*c**2 + 3*c**3 + 0*c**3 - 2*c**3.\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 48 = 22. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/99 and -43\/21?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-22710)\/(-10598))\/((-15)\/(-6))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 41*r**2 - 41*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q = -218*q - 4883 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9603.3186 * -0.3.\nAnswer: -2880.99558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x**2 - 14*x**2 + 173*x - 171*x.\nAnswer: -38*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 418 or 420?\nAnswer: 418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((7\/3)\/(1195\/(-717))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2074, 5, 3, -1, 1, 7 in decreasing order.\nAnswer: 7, 5, 3, 1, -1, -10, -2074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*r = 28, 5*i + 3*r - 64 = -50 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -604.266 + 604. Round b to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-8 - -5)) + -18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 50*l - 262. Let q be ((-405)\/36)\/(-3)*8\/3. Is i(q) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -20259 = -21275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 22 = 3*a + 2*x, 0 = a + 4*x + 10. Let s(q) = 2*q**2 - 8*q. Let z be s(a). Calculate the highest common divisor of 80 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**3 + 364084*a**2 - 728162*a + 364080 = 0?\nAnswer: 1, 182040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 4 - (6 - 6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3873680 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -1319 and 0.45.\nAnswer: -1318.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -515\/6 smaller than -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h + 18 = 0. Let a be (-5*h)\/((-3)\/(-2)). Let i = 17 - a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -120.246 and -0.21.\nAnswer: 25.25166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = 1. Factor 2*o + 0*o**3 + o**3 + 2*o**2 - 3*o**y - 2 + 0*o**2.\nAnswer: -2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*r = 4933 + 13605 + 1592 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 - 29 = 0. Let p(b) = b**3 + 10*b**2 - b - 7. Let i be p(-10). Suppose -5*u + i*u = -24. What is the smallest common multiple of u and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5148 and 2574.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2233 and 84777?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 2*a**2 - 8*a + 7. Calculate the remainder when 12 is divided by o(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127794 divided by -6?\nAnswer: 21299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - s + 996 = 0, 2*j + 70 - 458 = -3*s. Suppose -3*g = -4*n + g + j, 58 = n - 3*g. Let o = n + -30. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13994 - 6581. Let y = -259438\/35 + q. Find the common denominator of 51\/56 and y.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68)\/(sqrt(4)*1) - (-1 + sqrt(34)\/sqrt(2)))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lss when three letters picked without replacement from {l: 4, w: 2, h: 1, s: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116\/7*a**2 + 362\/7*a + 244\/7 - 2\/7*a**3 = 0. What is a?\nAnswer: -2, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(4\/(-170)))\/(-5))\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10*a + 170 = 0. Let g = a + -29. Sort -0.5, g, -1 in decreasing order.\nAnswer: g, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1192 in ascending order.\nAnswer: -3, -2, 1192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1200, -1190, -1182, -1176, -1172, -1170?\nAnswer: -1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 230960, 461835, 692718, 923609, 1154508?\n\"Answer: 4*m**2 + 230863*m + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + d + 171 = -16, -71 = -2*m + 5*d. What is the highest common divisor of 432 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 200.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*j - 22 = 57, 5*w - 120 = -3*j. Calculate the least common multiple of 249 and w.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*n + 535 - 24 = -198*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6097 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 448*k**3 - k - 896*k**3 + 36*k**2 + 442*k**3 as p*k**3 + t + n*k**2 + f*k and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/12 + (-1290)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76.9 in 3, -1, -0.2, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 959313 or -0.04?\nAnswer: 959313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-1))\/(-4)*-12. Let h = -145 + 235\/2. What is the common denominator of (-137)\/z + -3 + -3 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*r + 166*r + 258*r + 2*r in the form q + j*r and give j.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1011?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -2*f**6\/15 + 359*f**5\/20 + f**4\/12 + f**3\/2 - 281*f**2\/2 - 776*f - 1. Find the second derivative of w(h) wrt h.\nAnswer: -48*h**2 + 2154*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*-6*10\/180\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.17 + 1.2. Round a to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l - 1. Let j be f(-5). Calculate the common denominator of (j\/(-2))\/((-10)\/(-4)) and 53\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. Suppose s + o = -3*s. Let j be (-3)\/((6\/8)\/s). Which is the nearest to -1\/3? (a) j (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134687?\nAnswer: 7, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1a117?\nAnswer: -1a113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 57188952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49778739.\nAnswer: 3, 23, 71, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3800 and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 + 1700856*u\/7 - 241075927728\/7.\nAnswer: -3*(u - 283476)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 + -230. Solve r + 0*r + 4*u = 0, 5*r - l*u - 23 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106.86555 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w. Let n(m) = -2*m + 7. Give i(n(y)).\nAnswer: 10*y - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 71*x**3 - 2*x**2 + 2*x - 1. Let n be m(1). Let p be 2*(4 + 25\/(-10)). Suppose 4*b - 28 = p*b. What is the highest common factor of n and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 5*b**2 - 55 - 3*b**2 + 0*b**2 + 2*b**2 + 2*b**2 - b**2 + 0*b**2 + (-b - 1 + 1)*(2 + 2*b - 2))*(7*b**3 - 2*b**3 - 3*b**3).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 12*o - 2*l + 2 = 0, -o + l + 9 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 1 + 3, c = -5*k + 4*c - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2133 = -4*h - 525. Suppose 9*n - 363 = h. What are the prime factors of n?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 850, 1266, 1666, 2044, 2394, 2710, 2986?\nAnswer: 3216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -44491351.8102.\nAnswer: -44491351.9102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -329\/2, -4, 2410, 0.4 in descending order.\nAnswer: 2410, 0.4, -4, -329\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -2\/3 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, w: 4}. What is prob of sequence cwcw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 7:50 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 + 0.34.\nAnswer: 408.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4. Let q = j - 2. Which is the closest to 1? (a) q (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460055 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:08 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196366375.\nAnswer: 5, 1570931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/4137?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 10*y**2 + 10*y + 5. Suppose -27 = 2*p - 3*d, p - 2*d + 24 = 3*d. Let s be m(p). Let u be (2\/6 - 771\/(-9)) + s. Round u to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.12, 9, -0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 4 - 3\/(-3). Which is bigger: 1\/26 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 14*v + 18. List the prime factors of h(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 1 (c) -0.4 (d) -229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127 and 198264653.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23059 - -23058.999927502. Round r to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2539924 divided by 5\nAnswer: 2539924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1537.4 + 1600.19. Let v = y + 0.21. Let h = -62.89 + v. Which is the second biggest value? (a) -2\/17 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228.0785 + -228. Let u = -0.07531 + z. Round u to four dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*r + 2\/9*r**3 + 2\/9*r**5 + 4\/9*r**4 + 0*r**2.\nAnswer: 2*r**3*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 140 + -120. Suppose -122*a + 117*a = -s. Solve 0 = a*i - 2*f + 26, 5*i + 3*f = -f - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -n + 13. Solve n = -4*f - 2 - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -688, -1373, -2058, -2743?\n\"Answer: -685*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258242?\nAnswer: 2, 129121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -15. Suppose -s + r*x = -11, -3*x + x + 1 = s. Suppose 4 + s = 3*h. Solve 0*w - h*w = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 120, 0, 1 in descending order.\nAnswer: 120, 55, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)\/i**7)**39\/(((i\/(i*i*i**(-7)*i))\/(i*i\/(i*i**0)))\/(i*i**(-1)*i*i)**(21\/5)) assuming i is positive.\nAnswer: i**(-3293\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773360731?\nAnswer: 11, 13, 59, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 716.603 years?\nAnswer: 0.716603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-684)\/(-27) - 0). Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -3053303443?\nAnswer: 3053303505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36760 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979575 a multiple of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1823, 7225, 16229, 28835?\nAnswer: 45043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*((d*d**1\/d)\/d)\/d)**(-2\/131)*d**(-5)\/(d\/(d*(d*d**(2\/7))\/d*d)) assuming d is positive.\nAnswer: d**(-3434\/917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -64\/23, 5.\nAnswer: -64\/23, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-34) + (-3289)\/221. Let c = y + 16. Solve 4 = 5*r - c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 + 151*d**3 - 149*d**3 + 0 - 2*d**2 + 3 - 3*d as m*d**4 + b*d**3 + h + f*d**2 + s*d and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 7*s - 10. Let q be u(-10). Which is smaller: q or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5*d + 5, -5*d + 9 = 4*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 14613144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 9027 = -6*h + 512*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 1952, 2\/7, -3\/1051, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1183261\/45 + 26296. What is the common denominator of 49\/324 and j?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21. Suppose -a - v + 0*v - 1 = r, -5*v - 8 = 4*a. Suppose -t = b + a*b - 21, -3*b + 12 = 0. Solve t*i = 7*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (sqrt(1053) - (sqrt(1053) + -1)) + -3 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/97680 and 91\/9768?\nAnswer: 97680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/4 - 2\/(-8). Suppose 4*y = y + 15. Suppose 2*i = y + l. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520319261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (57\/(-9))\/((-1)\/3). Suppose -2*d + 13 = -f. Suppose 5*z = -3*b + 55, z - 3*b - 32 = -3. Calculate the least common multiple of z and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13283 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 15*u - 25. Suppose -67 = -2*l - 57. Let c be k(l). What is the highest common factor of c and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 9\/(18\/8). Let j(t) = 2*t + 3*t + 1 - t. Suppose -v - 7 = -2*p, 4*v = -3*p + 4*p - 21. Let c(q) = 9*q + 2. Determine h*c(o) + v*j(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n + 186. Let l be b(-56). What is the third smallest value in -5, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2b?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 1125096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 8*g + 3. Let w be m(8). Find the third derivative of 0*f**2 + 0*f**2 + 2*f**4 + 2*f**2 - w*f**2 wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/27 + -10)\/((-2)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5 + 2 - 5)*(-3*u**2 + 6*u**2 - 6*u**2).\nAnswer: 6*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 13 + 19. Let s = 0 + b. What is the greatest common divisor of s and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 14*w + 18. Calculate p(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:52 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20313217 and -237.8.\nAnswer: -20313454.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.74, -2, 12, -2\/5, -12\/389 in descending order.\nAnswer: 12, -12\/389, -2\/5, -0.74, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 15 = 0, 2*q + 2*f - 2 = 18. What is the remainder when q is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76.5 - -90. Let g = l - 14.5. Let p = -0.1 - -1.1. Which is the biggest value? (a) -0.6 (b) g (c) p (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/4 + 117*a\/4 - 81.\nAnswer: -3*(a - 36)*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927781.6 millennia to centuries.\nAnswer: 9277816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85445.63 centuries in decades?\nAnswer: 854456.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-2))\/((-6)\/(-12)). Suppose z*w + l = 32, l + 30 = 3*w - 2*l. Suppose -12*n = -164 + 44. Calculate the smallest common multiple of w and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**2*b**(-2)*b**(-5\/4)*(b\/b**3)\/b*(b**(-1\/4)*b\/(b**4*b*b))\/(((b**(-2)\/b)\/b)\/(b**(-2)*b*b)) assuming b is positive.\nAnswer: b**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2266858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603837981 to the power of 1\/3, to the nearest integer?\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 - 162 + 2*f + 79 + 4*f**2 to t*f + k*f**2 + o and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y**2 - 8*y - 8. Let x(q) = 8*q**2 - 5*q - 5. Let i(v) = 8*x(v) - 5*z(v). Let f(p) = 3*p**2. Give i(f(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-4)*(-4)\/(-2). Suppose -48 = -4*z - g, 5*g - i = -3*z + 12. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 536.5 + -537. Which is the second smallest value? (a) 14 (b) -0.8 (c) f (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/(-2)*(-224)\/336\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 1. Let d be (-4 - -3)\/(2*9\/18). Let j(i) = 7*i + 5. Determine d*j(c) + 3*u(c).\nAnswer: -10*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58)\/609 + (-184174)\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 24 + 10 + 104 + -11 + -10.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (65 + 3)*(-12)\/(-8) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + p + 1. Let f(x) = 6*x**2 - 8*x - 2. Give -f(u) - 4*r(u).\nAnswer: -2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -1.358.\nAnswer: 48.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -414*q + 205*q + 329*q. Let a(r) = -6*r**2 + 5*r - 5. Let s(h) = h**2 - h + 1. Let v(j) = 2*a(j) + 10*s(j). Determine o(v(x)).\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4032\/(-288) + -2 + 3 + 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from hiwqqwhqqwqhqwqiqwq.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*n. Suppose n*s - s = -1, -5*p - 2*s = -33. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 + 6*c + c**3 - 14*c + 4*c**2 - 5. Suppose 4*a - 2*a = 4, 2*q - 4*a + 24 = 0. Let t be m(q). Let p(f) = -2*f + 1. Calculate p(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lclllllllcclccclll. What is prob of sequence lllc?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*t - 16 = -4*s, 4*t = -4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29233 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3616996564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5089, -5, 5601, 0 in descending order.\nAnswer: 5601, 5089, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/21 + 2\/7. Let s = -0.376 - 0.024. Which is the third biggest value? (a) w (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16654*g + 729 = 16663*g. Suppose 5*r - r = 564. Let d = r - g. What is the greatest common factor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120788 <= -120787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4123, -3998, -3743, -3316, -2675, -1778, -583?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233611081 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-8)*(-273 + 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) -5 (b) -3\/7 (c) -1\/2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 2641443602?\nAnswer: 2641443565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/3))**(1\/40))**(-2\/63))**26 assuming t is positive.\nAnswer: t**(-13\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/167 + -195\/1169. Let k = -3.9 + 4.4. Sort 24, t, k.\nAnswer: t, k, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409*k + 47 - 148 - 331 = -23 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*f + 135 = -111*f - 12*a, -2*f + 5*a + 48 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 409*p**5 + 517461*p**3 - 66512564*p**2?\nAnswer: 24540*p**2 + 3104766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302361013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -978 less than -952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09 from -2404.53533454.\nAnswer: -2404.44533454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 20 in increasing order.\nAnswer: -2, 8, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*s - 2*y, s - y + 7 = -6. Let k(a) = 10*a**2 + 30*a + 16. What is the hundreds digit of k(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/5)*r)\/(r**(-5)\/r))\/((r*r*r*r**(-4)*r)\/(r**(-1\/21)*r)) assuming r is positive.\nAnswer: r**(877\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iio when three letters picked without replacement from {o: 2, i: 11, u: 6}?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.84 - -0.16. Let k = -67 + 602\/9. Which is the nearest to -0.1? (a) g (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 8, -2, 3, 0.27 in increasing order.\nAnswer: -2, -1\/4, 0.27, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26424 rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dommenj. Give prob of sequence mee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -11, 2 in ascending order.\nAnswer: -11, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/3765 + 3618173\/15060. Which is greater: v or -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f - 12*f - 36*f = 49896000. Round f to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.2 (b) 2\/7 (c) 2 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14\/5 (b) -0.4 (c) 187 (d) -2\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 57*m**5 - 108*m**4 - 12*m**3.\nAnswer: 3*m**3*(m - 2)*(19*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -56. Suppose -2*n + 3*n + 29 = 2*k, a = n + 4*k + 47. Let l = 9 - n. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 - 6*g**2 + 2*g**2 + (6*g - g - 2*g)*(1 - 1 + g) - 3 - 2*g**2 + 3.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -214, -338, -462?\n\"Answer: -124*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 111*b - 34. Calculate m(1).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3782808 divided by -664?\nAnswer: 5697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1476117 years?\nAnswer: 0.01476117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25244075 - 380?\nAnswer: -25244455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -130*y**2 - 4*y + 9. Let n(w) = 257*w**2 + 9*w - 21. Determine 7*m(a) + 3*n(a).\nAnswer: -139*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/5 - (-12)\/20. Suppose -4 = x*j - 3*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/10)\/((-21)\/70). Suppose 3*h - l - 3 = f, 4*l = -2*h - 2. What is the remainder when h is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2856.95 + -2857. What is the third smallest value in 1\/7, k, 4, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9583017 and 558234.\nAnswer: 57498102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 28, 54, 80, 106, 132?\n\"Answer: 26*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 267810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 1, a: 1, q: 2}. Give prob of picking 2 m and 2 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 - -2.7845621889?\nAnswer: 7.8845621889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12220022221002 (base 3) in base 9?\nAnswer: -5808832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q**3\/3 - 5*q**2\/2 + 251*q + 204. Does 39 divide z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (96\/5)\/((-4)\/(-20)). Let l(m) = 2*m**3 - 15*m**2 + 16*m - 68. Let z be l(6). Let w = n + z. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.057 - -0.093. Let t be (-19)\/(-7) - (-4)\/14. What is the closest to j in -1\/2, t, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 499616*n**2\/9 + 1998440*n\/9 - 222048.\nAnswer: 2*(n - 249804)*(n - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 2 - 2 + (-120*w - 60*w - 7*w)*(15*w + 2*w + 15*w).\nAnswer: -5987*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -125\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 16*g - 194. Calculate j(0).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10895, -11556, -12217, -12878, -13539?\nAnswer: -14200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**5\/120 - 5*z**4\/24 + 2*z**3\/3 + 9. Let d(r) be the third derivative of w(r). Give d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 106\/9 + 6\/27. Let c = 7 - 4. What is the second derivative of -k*m + 2*m - 3*m + 13*m**c wrt m?\nAnswer: 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0346 + -230.0346. Let h = 230 + r. Is -46 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3252879*t**3 - 2843*t - 247?\nAnswer: 19517274*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r. Suppose -f = 3*f + 4. What is the remainder when 15 is divided by q(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -203*d**6\/120 + 260*d**3\/3 - 63*d**2 + 2. Differentiate b(n) wrt n.\nAnswer: -609*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 49.4585 micrometers?\nAnswer: 0.0000000494585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 6668.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-1172)\/(-4)*1)\/1. Let y be 9\/(27\/(-12)) - -499. Let g = y + u. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 249*r**2 + 1527*r + 648. Give z(255).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37447 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: What is 23\/8 of a kilometer in meters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*v + 2)*(-4*v**4 + 5*v**4 - 2*v**4)*(-22 + 72 + 8).\nAnswer: -116*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -290*z. Let r(b) = -23492*b. What is r(v(u))?\nAnswer: 6812680*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65906352430 - 0.2.\nAnswer: -65906352430.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16372490 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 82\/(-451) + (40\/(-270)*-9)\/(154\/(-45)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582523\/116 - (6\/8 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**4\/12 + 196*f**2. Determine n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*q - 211, 734*q - 1470*q - 3*l = -736*q + 3 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 1, 11 in decreasing order.\nAnswer: 11, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(51)\/sqrt(3) - sqrt(17)) + -5)**2.\nAnswer: -40*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 14 - 46 = 0. What is the thousands digit of (-3 - (-1203 + -5))*d\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -4*n - 28. Suppose n*o + 12 = -4*d + 66, 2 = o - 3*d. Let z(i) = o + 51*i - 17. Let r(f) = f. What is z(r(j))?\nAnswer: 51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960207.9 micrometers to centimeters.\nAnswer: 96.02079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 2*t. Let h(k) = 34 + 9*k + 4*k**2 - 34. Let l(g) = -9*d(g) - 2*h(g). Let w(a) be the first derivative of -19*a**2\/2 - 4. Give l(w(s)).\nAnswer: 361*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -39) + (0 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2, -7\/6, -0.5 in descending order.\nAnswer: 2, -2\/9, -0.5, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(245))**2.\nAnswer: 28*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2633*b**3 + 1307*b**3 + 1316*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1 (c) 5 (d) -0.2 (e) -0.044 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11*l - 900 = 0. Let k be 6\/1*6\/l. Let f be 3 - (3 + 6\/21). What is the fourth smallest value in f, -0.3, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 41 = -5*k, 5494*a = -7*k + 5488*a - 52 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -61600 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**8\/840 + z**7\/175 - 2*z**5\/75 - 9*z**2. Factor d(g).\nAnswer: 2*g**2*(g - 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**5\/5 + f**3\/2 + 3*f**2\/2 + f. Let c be q(-2). Suppose c = 3*i - 16. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 y, and 1 o when four letters picked without replacement from nolpoyyyoonyoyopoyy.\nAnswer: 49\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1158242*l**2\/5 - 587492*l\/5 + 74498\/5.\nAnswer: 2*(761*l - 193)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/88 and 58\/(-96) + (35\/(-140) - 35\/(-44)).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/165158 and 5\/1012032?\nAnswer: 47565504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - 6\/(-35). Let f = -30.78 + 26.78. Which is the biggest value? (a) f (b) 3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - 0 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14.33 - 764059299\nAnswer: -764059313.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-11) - (-8 - (3 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**2\/2 + u - 2. Let h be b(-5). Suppose 2*d + 9 = 5*d. Sort d, 4, h in ascending order.\nAnswer: h, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let z = g + 2.9999965. Round z to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*m + 23 = m, -m = -2*h + 3. Solve -2 = -3*v + 5*n, -2*v = -v - h*n + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2245186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5955.\nAnswer: -2\/5955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 135 = -0*p. Suppose -2*i = -235 + p. Suppose -2*c = 3*c - i. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1601157031?\nAnswer: 257, 907, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156.493 + -234.4939. Let d = x + 78. Round d to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15798334 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1 - 0) + 1. Let p(x) = 5*x + 1 + 14*x + 6*x. Calculate the remainder when p(q) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*g = 4*g - 4, 20 = 4*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 4, g: 8, e: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-156)\/(-780) - (2 + (-246)\/20 + 0). Let h(v) be the second derivative of 6*v - x*v**2 - 1\/6*v**3 + 0. Differentiate h(g) wrt g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 - k**2)*(1 - 2*k**2 - 1) - 6*k**4 + k**4 + 3*k**4 - 18573*k - 427*k**3 - 398*k**3 - 5*k**4 + 3*k**4 + 18565*k.\nAnswer: -6*k**4 - 825*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 27*g + 572. Determine j(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/45 + -2)\/((-258)\/(-2322))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*l + 23*l + 8*l)*(-6*l + 0*l + 2*l) - l**2 + 11*l - 11*l as n + b*l**2 + f*l and give b.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-4 + 10\/5). Let d = 44 - g. Solve d + 9\/7*b**4 + 0*b**3 + 3\/7*b**5 + 0*b + 0*b**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 50 + 7*l - 149*l**2 + 140*l**2 + 47 to the form g*l**2 + a*l + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(249*r**4 - 247*r**4 - 7 - 103).\nAnswer: 4*r**4 - 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 32. Let q be i(-8). Solve q = -3*w + 7 + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 509 + -509. Let k(u) be the second derivative of -1\/20*u**5 + 1\/6*u**3 - 1\/6*u**4 + p + 7*u + u**2. Factor k(g).\nAnswer: -(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123 plus 1.01?\nAnswer: 1.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 2615?\nAnswer: -2619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 13*p + 0*p + 0*p**2 - 12*p to the form v*p**2 + t*p + h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1100) + 0) + -3*(sqrt(1100) + -1*sqrt(1100)) + -3)**2.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1089 + 1919. Let z = -479 + s. List the prime factors of z.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5*w + 10, 1 = -3*d + 4*w - 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*(-6)\/9. Let h be (-1)\/4 - ((-26)\/(-56) - c). What is the third biggest value in h, -0.7, -5, -0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4 and (-4)\/2 - (-65)\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21161\/40 + 529. Let v be ((-10)\/(-8))\/((-36)\/144). Let h(x) = x**2 - 7*x + 8. Let f be h(6). Which is the second biggest value? (a) v (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -206\/39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 10 - 28. Suppose f*g = -g - 8. Put g, 11, 0 in increasing order.\nAnswer: g, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1067556, 2135104, 3202652?\n\"Answer: 1067548*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 13*p**2 + 14*p - 9. Determine f(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 7*w**2 + 5*w + 2. Let c be s(-6). Let b = c + -4. Suppose 30 = 3*l + 3*m, -2*m + b*m = 6. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - (3 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, 14955, 0.38, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 6*f + 20 - 6 to z + n*f and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-21))\/((-2)\/(-6)). Let a be 1\/(((-6)\/39)\/u). Solve -a + 33 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iasifiina. What is prob of picking 1 n and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3 + 17 = 0, 5*k = -4*f + 1844. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-80)*(2929\/522)\/101?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/25377?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*a - 12616 + 12294 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -48*i**2 - 4*i. Let u be m(-3). Let n be 4\/6 - (-256)\/u. Let o(l) = 2*l**3 - 5*l**2 + 456*l - 907. Let s be o(2). Is n less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 6*z**2 - z + 8. Let j be p(6). Let m(t) = 19*t**2 + 228*t + 5. Let g be m(-12). Solve -5*a + 7*r - 4*r = -4, g*r - 14 = -j*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15839860 by -20.\nAnswer: 791993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. Suppose -5*b = z*a - 46, 2*a - 12 = -3*b + 12. Let v = 22 - a. What is the greatest common divisor of v and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z + 10. Let f(d) = -2*d + 3. Let u(m) = 10*f(m) - 3*x(m). Let y(v) = v - 21. What is y(u(s))?\nAnswer: -2*s - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9821 + -98099\/10. Suppose -80 = -3*i + 127. What is the common denominator of u and 1\/(-2*i\/84)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250790 * -0.2.\nAnswer: 50158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 0) + -24 + 22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22189107*g**2 - 10708888*g.\nAnswer: 44378214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 684*g**2 + 108563*g + 107880.\nAnswer: (g + 1)*(g + 248)*(g + 435)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = l + 14, -l + 10 = i - 4*l. Let o be 5\/i - 2\/(-4). What is the second biggest value in -5, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 6, -3, 5, 2 in decreasing order.\nAnswer: 6, 5, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*o**3 - 3*o - 6 + 3*o + 34*o**3 to the form m + p*o + i*o**2 + h*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6793341300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72.6 + 81. Let t = -1.8 - q. Let y = 10 + t. What is the closest to y in 4, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-2)*(2 + 0). Suppose -3*k = 4*f + 3, -2*k - 8 = -5*f + t. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -452\/5. Let x(s) = 3*s - 1. Let p be x(2). Suppose -q + 1 = p. Which is the closest to g? (a) q (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, 17, 70, -65, -1 in decreasing order.\nAnswer: 70, 17, 1, -1, -2, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*u + 219*u - 87 - 86 + 26*u + 175 in the form x + f*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12640000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/99 + ((-1020)\/(-27) - 0). Solve s = -10*f + 88 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/(-68))*(-17)\/17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:24 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 31*m + 100. What is v(-5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-37))**(-1\/93)*(c*c*c**1)**(-7\/2)\/(c*c\/c**2)**(-33) assuming c is positive.\nAnswer: c**(-1805\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 68*p**2 - 6*p + 1. Is o(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3162412 by 45.\nAnswer: -3162412\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/19703 or 0?\nAnswer: -10\/19703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 7 - 5)\/((-2)\/5). Solve 3*l - k = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*l**3 + 75*l**3 - 219*l**3.\nAnswer: -208*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1972, 1970, 1968, 1966?\nAnswer: 1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 79854 = 2*d - 11*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65 - (1 + -4 - -3).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1370 = 14*d - 912. Suppose -g + 4*q = -0*g - d, -326 = -2*g + 5*q. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1016 and 182464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2765 - 1584. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1458 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuyycmykycc. What is prob of picking 1 u and 1 m?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 2. Let n(p) = -3*p + 3. Let w(h) = h - 1. Let b(q) = -n(q) - 4*w(q). Let j(g) = -7*b(g) + 2*f(g). Calculate j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 9.576062?\nAnswer: 19.152124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -320.45, -4, -2, 29\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 145*n. Let q(b) = 3*b**2. Give q(z(u)).\nAnswer: 63075*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 7*j**2 + 7*j + 1. Let n be h(6). Let v = n - 6. Calculate the lowest common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.1, -0.13, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(500) - sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 1, m: 1, o: 3, d: 1}. Give prob of sequence ooo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1022, -0.5, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/15 + 1522*q**2\/3 - 7604*q\/15 - 5072\/5 = 0?\nAnswer: -1, 2, 3804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 12*b**2 - 40*b + 27. Is 7 a factor of f(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5 = 2*c + 12, -16 = -4*c. Let b = 23 - 18. Let i(w) = -8 + b - 5*w**2 - 3*w - w**3 + 0. What is i(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111132111 (base 4) to base 7\nAnswer: 12442336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2299) + -1 - (3 + sqrt(57)\/sqrt(3)))**2 - (sqrt(171) + -3*sqrt(171)*-1 + sqrt(171))\/(-2*sqrt(576)).\nAnswer: -5115*sqrt(19)\/16 + 7664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/(-35) - 28\/4) + -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12993 * 37737.\nAnswer: -490316841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3487168?\nAnswer: 2, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + g + 2. Let a be l(-1). Suppose p + 8 = a*p. Let q = p + -3. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 333 = -f, -2*i - 4*f + 147 = f. Let r = 9 + i. What is the highest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 21*b**2 + 162*b + 6. Let j be w(6). Let m(p) = -p**2 + 9*p. Let k(c) = 2*c**2 - 17*c. Calculate j*k(y) + 14*m(y).\nAnswer: -2*y**2 + 24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/42)\/((-3)\/3 - (-276)\/288)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-87)\/6 + (-3)\/6. Let c be (8268\/u)\/((-1)\/5). Let t = -13828\/5 + c. Calculate the common denominator of 28\/11 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -13*x**2\/2 + 17*x + 103. Let b be w(0). Solve -b*c + 12*c = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -26*r + 51*r + 22*r - 12 + 27*r**2. Let q(y) = -190*y**2 - 330*y + 85. Let z(t) = 2*q(t) + 15*w(t). Determine j so that z(j) = 0.\nAnswer: -2, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242175943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -123a + -21?\nAnswer: -125b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315.000005 - 315. Round s to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-3)\/2)*(-2)\/33*-11?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95224 - 95043.772. Let h = q - 180. Round h to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 60, 206, 494, 972?\n\"Answer: 8*k**3 - k**2 - k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 1271, 3772, 8623, 16616, 28543?\nAnswer: 45196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72557, -72532, -72433, -72212, -71821, -71212, -70337?\nAnswer: -69148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -27 (c) -1 (d) -3156 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/5 - 188*c**3 - 11500*c**2 - 52900*c.\nAnswer: -4*c*(c + 5)*(c + 115)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/261 and -37\/1903705.\nAnswer: 17133345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -4, -510 in increasing order.\nAnswer: -510, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1627*f + 1660*f - 759 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215.6 - -213. Which is bigger: m or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 6*q + 3*q)*((-2*q + 0 + 0)*(-1 + 0 + 2) - 5*q - 1 + 1).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 71. What is the nearest to 2 in 4, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -68. Let v be (-18)\/(-4) - 3\/6. Suppose 122 = v*p - y. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -1\/8, -4.88, 0.17, 1, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -33 (b) 2\/7 (c) -2448 (d) -0.5 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(108) + -2 + (sqrt(108) - (sqrt(108) + 2) - sqrt(108))) + (3*sqrt(120)\/sqrt(4))\/(-1*sqrt(20)\/sqrt(2)))**2.\nAnswer: -144*sqrt(3) + 607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2992, -2982, -2946, -2872, -2748, -2562, -2302, -1956?\n\"Answer: 2*j**3 + j**2 - 7*j - 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*l = -68*l + 105. Calculate the remainder when 165 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**3 + 2*g**2 + 36*g.\nAnswer: -48*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 (base 6) in base 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**4\/3 - 12862*g**3\/3 + 42772*g**2 + 667672*g\/3 + 719152\/3 = 0.\nAnswer: -2, 14, 6421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 165?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16160 - 16152. Suppose -4 = 3*u - 13. Solve -s - 13 = -u*r, s = -3*s + l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhhv when four letters picked without replacement from {h: 8, v: 6, w: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/16968*101*4\/(-186)?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -1.4. Let o = 1 + -10. Let c = o - -9.2. What is the second smallest value in c, 3, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61806788*l**2 + 133667070*l**2 + 295236524*l**2.\nAnswer: 490710382*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2144 (base 7) to base 12.\nAnswer: -53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -38*z**3 + 4*z**2 + 3*z - 14. Let t be h(-10). Suppose -14*g = -18*g + t. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380706865 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -2*s + 1042. Suppose 4*n - 8*n + s = 0. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - ((-13 - -38) + -42) - 27\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 748*c*x + 409*c wrt x?\nAnswer: 748*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-3)\/3)*1\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40611*g**3 - 5425000 + 5425000.\nAnswer: -40611*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5.4405474+-1.2533\nAnswer: -6.6938474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 938965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 132 = 6*w. Let q = w + 235. Suppose -2*h + q = 24. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2146851 - 54*h + 2146851.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-12)\/s**15)\/((s*s**(2\/15)*s*s)\/(s**(-4)\/s)))**(5\/2))**(1\/16) assuming s is positive.\nAnswer: s**(-527\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*k = 173*k + 20. Suppose 0 = -4*q - 5*v + k*v - 11, 2*v - 10 = -4*q. Put q, -3, 13 in decreasing order.\nAnswer: 13, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y - 7*y + 2*y. Let m = 221 - 121. Let s(l) = -m - 3*l + 100. Give v(s(c)).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 14\/(-10))\/((-6)\/15). Suppose -g*b = -0*b. Suppose 0 = 2*a - 5*a - 2*z + 2, a + 5*z - 18 = b. What is the nearest to -2 in a, 3, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -100) + 61 + (6 - -2) - -21.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*v + 768 + 2031 = -15308 - 533 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubvrbkuhbbu. What is prob of sequence ukvu?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242514151?\nAnswer: 11, 3889, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/168 and -173\/7975200.\nAnswer: 55826400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4648, -18406, -41358, -73522, -114916, -165558, -225466, -294658?\nAnswer: -373152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1784608 to the nearest integer?\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85262835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + 61 - 16*z**2 - 66 - z**3 + 14*z**2 - 6*z**3 in the form q*z**2 + x + y*z**3 + h*z and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -55*t**4\/24 - 4*t**2 - 3. Let w be v(-3). What is the greatest common factor of w and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 20. Let k(l) be the second derivative of -7*l**2\/2 + 321*l. Calculate 7*k(t) + 2*u(t).\nAnswer: 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, y: 7}. What is prob of sequence aa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f. Suppose 0 = -f*q + 4*q - 60. Suppose -4*x = x - q. Which is the third smallest value? (a) x (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 234 + 230 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 49942937 and -57187.1.\nAnswer: 49885749.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n - 10*n - 7*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 1:10 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2 + 7, 5*h = -2*d - 79. Suppose 25*a - 29*a = -4*v - 160, a - 4*v = 55. Let l = h + a. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 6 + 0\/(-1). Let m(u) = -u**2 + 9*u - 2. What is the units digit of m(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111332300011 (base 4) in base 12?\nAnswer: 1b1a631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22*z + 92 = 18*z, -5*c = -5*z + 145. Let m(a) = -a**2 - 24*a + 46. Calculate m(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 950760 divided by 190.\nAnswer: 5004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = 2*w, 3*w - 23 + 7 = 4*v. Let q = 5436 - 5433. Sort 5, w, q in decreasing order.\nAnswer: 5, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 36*p - 33. Let z(r) = -r + 1. Let j(q) = -4*h(q) - 132*z(q). Let o(s) = -89*s - 86*s - 84*s + 261*s. Calculate j(o(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.839 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-4))\/(15\/(525\/28)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 7\/24*f**4 + 0 + 5*f**2 + 5\/6*f**3 + 0*f + 1\/60*f**5. Let a = -1 - 5. Determine x(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 386?\nAnswer: -1\/386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5298 + 5295 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2. Let c = -736 - -746. Let l(r) be the first derivative of 0*r + 0*r**2 + 7\/3*r**3 - c. Give d(l(a)).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -2.02.\nAnswer: -0.808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.8 - 11.96. Let m = 0.16 + w. Let o = 5.7 + m. Round o to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - 9) + -3 + 0 - 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1558*h + 1603*h + 810 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/7)\/(10*17\/11900*5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3 - 353*r**2 + r**3 + 354*r**2 - 3*r + 5*r. What are the prime factors of g(3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362129 * -0.0418\nAnswer: 15136.9922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327 <= 1327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {k: 16, y: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -604 = -4*g - 4*x, -2*g + 318 = -0*x - 2*x. What is the remainder when g is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:42 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -5*d + 3, z - d = 4. Which is greater: -1.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -7 + 9\/1. What is the units digit of ((-2)\/(-4))\/(c\/162)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 7*p**4\/6 - 23*p**3\/6 - p**2\/6 + 23*p\/6 - 1 = 0.\nAnswer: -1, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 11. Let k be f(8). Sort -9, -4, k in descending order.\nAnswer: -4, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5986599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4.2. Let o(m) = m**3 + 3*m**2 - 1. Let b = -35 - -32. Let k be o(b). Sort n, 5, k in decreasing order.\nAnswer: 5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6a (base 14) to base 8\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(216))\/sqrt(4) + sqrt(54) + sqrt(54) + 1*sqrt(7776) + sqrt(54))\/(1*sqrt(825)\/sqrt(11)))**2.\nAnswer: 3528\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-16 + 32)) + 11 - 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31521 (base 6) to base 15\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0. Suppose 0*c = -c + 2. Suppose -3*x - c*x = 20. What is the closest to p in 2\/9, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*i + 3 - 8 + 5.\nAnswer: -101*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*b - 330*b - 16 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 244183 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.49159563 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111501 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9)**1*(r*r**(-2\/87))**38)**(-14\/9) assuming r is positive.\nAnswer: r**(-56182\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 8721138*j**2\/7 - 1358182377330*j - 9507285362450\/7.\nAnswer: -2*(j - 2180285)**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2, -3*r + 0*m + 35036 = -5*m. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.54 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 9 + 3)*(-553*s**2 - 549*s**2 + 962*s**2)*(-3*s + 3*s - 3*s**2) in the form b*s**4 + t + c*s + j*s**2 + d*s**3 and give b.\nAnswer: 4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 373, 743, 1101, 1441, 1757, 2043?\n\"Answer: -i**3 + 377*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16224?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113477 by 1.\nAnswer: 113477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233499 + -233502. Let h = 4 + -14. Sort -2, m, -1, h.\nAnswer: h, m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 3*w**4\/8 - w**3\/3 + w**2. What is the units digit of s(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 880 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 25 = 5*g, -4*l + 2*g + 2*g = -68. Calculate the remainder when 4 is divided by ((-2)\/4)\/((-5)\/l).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*p + 52, -2*n = 2*p + 18 - 62. Suppose -5*z = -v - 104, 19*z - 3*v = p*z - 88. What is the remainder when 33 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + 16 - (577 + -608)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -675?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j - 38 + 38 - 14*j**3 - 4*j - j.\nAnswer: -14*j**3 - 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*14\/6)\/(89\/(-89))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*z + 17754 - 8874 - 8881 to the form v*z + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - g - 30 = 0, 2*g = -h - 464 + 409 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 85*a**2 + 2142*a - 5. Let i(h) = -21*h. Give y(i(l)).\nAnswer: 37485*l**2 - 44982*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -41 - (-10 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 6*h - 1. Let m(w) = 5*w + 3. Let b be m(-4). Let y(l) = 3*l**2 - 17*l - 3. Let t(j) = b*u(j) + 6*y(j). Calculate t(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 51*m**3 + 11*m**2 - 13*m + 34. Let y be b(3). Which is smaller: y or 1472?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.695571 rounded to 1 decimal place?\nAnswer: -191.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s**3 + s**2 + 0 - 1\/1050*s**7 + 1\/60*s**4 + 1\/100*s**5 + 0*s + 0*s**6. Factor r(q).\nAnswer: -q*(q - 2)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 136\/10 + (-2)\/(-5). Let l = i + -8. Suppose -3*v + 55 = 4*q, -3*v - l = -v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/7 - 134*c**2\/7 - 9010*c\/7 + 48150\/7 = 0. Calculate c.\nAnswer: -45, 5, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - p - p + 30*p**3.\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(4\/(-42)*3). Let i = w + -26. Let a = 4 + -3. Solve i*b + 7 = a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*f - 2148. Let k = f + -181. Does 26 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + ((sqrt(200) + 0)*4 - sqrt(200)))**2 - ((sqrt(200)*2)**2 + 5 + 2)).\nAnswer: 180*sqrt(2) + 997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3437374.2 + -3536?\nAnswer: 3433838.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (62 - 69)\/((-21)\/(-267)).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**(1\/5)\/p)\/p*p*p)\/(p\/(((p*p**(-1\/13)*p)\/p)\/p*p)))\/((p**(1\/9)*p)\/(((p\/(p**(-2\/3)*p*p*p))\/p*p)\/p*p)) assuming p is positive.\nAnswer: p**(-773\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 42*a**2 - 154*a - 27. Let d be k(-38). What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from ggpoppppppoppppppppo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1\/112*-12*19\/228).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1547*f + 2819. List the prime factors of b(-12).\nAnswer: 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 653 = -3*r + 4*r, 4*r - 4*x = -2548. Let i = 953 + r. 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 282 divided by 15507?\nAnswer: 94\/5169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + (sqrt(28) - sqrt(7)) + (sqrt(7) - (sqrt(7) + -1 + -1)))**2*-1 - ((sqrt(252) + -1 + sqrt(252))*2*-2)**2) + 2.\nAnswer: -16150 + 380*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/11)*(x**(-2\/9)*x)\/x*(x*x**(4\/5)*x*x*x)\/(x**(2\/37)\/x) assuming x is positive.\nAnswer: x**(104497\/18315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o + 32. Calculate v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/11, -1\/2, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 9*s - 8. Let c be x(-7). Suppose 0 = 5*y + c + 4. Sort y, 2, -4 in descending order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 0.19. Put -3, a, -0.03 in descending order.\nAnswer: a, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786674601845 - -2.6?\nAnswer: -786674601842.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 31 = -39. Suppose 3*y - 5*q = -2*q + 228, -344 = -5*y - h*q. Calculate the greatest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 152*k**3 - 5*k**2 - 8*k - 38. List the prime factors of w(6).\nAnswer: 2, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -2. Let o(w) = -15 - 22 - 92*w - 17 - 14 + 65 + 100*w. Give o(f).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258589448 to the power of 1\/2, to the nearest integer?\nAnswer: 16081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21624754.\nAnswer: 2, 71, 152287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + m - 4*m + m - 5*m.\nAnswer: -7*m - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1, -82 in descending order.\nAnswer: 1, -43, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 s when four letters picked without replacement from {c: 5, t: 6, s: 4, g: 4}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 15, d: 3}. What is prob of picking 2 y?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 10:01 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 35*i = -1044. Let a(x) = -34*x**2 + 2*x**2 + i*x**2. Let m(q) = 147*q**2. Calculate a(m(z)).\nAnswer: -64827*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 - t**4 + 3*t**4)*(45*t - 10 - 22*t - 32*t).\nAnswer: 9*t**5 + 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 56. Which is smaller: t or 25\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28867 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-64)\/(-20))\/8)\/(8\/(-15)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -809?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 17478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3471f (base 16) in base 9?\nAnswer: 356603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(2*sqrt(11)))\/(sqrt(12)*1*-1) + (-3*sqrt(27)\/sqrt(9) - -4*sqrt(48)).\nAnswer: 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2491 + -2491. Let u(o) be the second derivative of -4*o**3 - 7*o - 9\/10*o**5 - 13\/4*o**4 - 3\/2*o**2 + f. Determine h, given that u(h) = 0.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*n - 457 + 428 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npnnptpnpnpjjpct. Give prob of sequence jpn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 6:51 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*q + 1773*q - 601*q - 1152 = 620*q for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (90\/14 - (-7)\/((-490)\/30)) + 14500994. Round x to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 - 5*y**2 + 3*y + 4. Let o(n) = -3*n**3 - 5*n**2 + 2*n + 4. Let k(l) = 4*f(l) - 5*o(l). Calculate the remainder when 10 is divided by k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -1361*p**3\/3 + 693*p**2\/2 - p + 417. What is the second derivative of o(s) wrt s?\nAnswer: -2722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) -2 (c) 383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + 62. Suppose 4*c + l = -105. Let i = 93 + c. Solve i*s - 10*s - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*l + 302 - 120 = 0, -2*l + 184 = -4*s. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20443 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let c(p) = 10*p - 3. Let s(o) = 41*o - 13. Let x(b) = -26*c(b) + 6*s(b). Give x(t(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/20)*16\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*s + 2 = 0. Suppose -3*m + 5*m - s = 0. Which is smaller: 2\/3 or m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1558, -1699, -2072, -2791, -3970, -5723, -8164?\nAnswer: -11407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1339173 and 110.\nAnswer: 13391730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:33 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -21?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 7*s. Suppose 3*n - 204 = -5*k, 4*k = n - 37 + 190. Calculate the remainder when o(-5) is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60930?\nAnswer: 2, 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**3 + 1099*i - 1099*i.\nAnswer: 21*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -156869*h - 313741. Determine x(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 639*g**5 - 2 - 60*g**5 + 98*g**5 - 17*g - 19 + 317*g**5 wrt g?\nAnswer: 19880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + -5*(sqrt(30)\/(-1*sqrt(40) + sqrt(10)) - 5*(sqrt(48) + -2*sqrt(48))))*4.\nAnswer: -380*sqrt(3) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6412, 12439, 18294, 23977, 29488?\nAnswer: 34827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 380*b + 28. Let v(u) = -6*u - 3. Calculate 6*v(g) + y(g).\nAnswer: 344*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3, -483.\nAnswer: -483, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2283088\/(-522840) - -6) + -7. Let l = m + 1\/26142. Calculate the common denominator of l and 173\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence koko when four letters picked without replacement from kttkoktkoktkpkpkkt?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a - 3. Let d = 0 - a. Suppose -d*g + 0*g = -3. Sort -4, 2, g in ascending order.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 40 = -6*k. Suppose 2*r - k = r. Suppose 7 = a + 1. Is r != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 62 - 5171*g**2 + 58 - 168 - 8083*g**2.\nAnswer: -13254*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.1, 413553?\nAnswer: 413553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 250665?\nAnswer: -251000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 287*q**3 - 7*q**2 + 4 - 288*q**3 - 5*q**2 + 6*q**2 + 6*q. Give z(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 10. Let o be 17\/(153\/(-108))*(63\/12)\/(-3). Suppose o = v - s. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**3\/6 - k**2\/2 - 2325*k. Let y(t) be the first derivative of -2*t**3\/3 + 6*t**2 + 12*t - 1. Determine 12*h(w) + y(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 258*x**2. Let p(c) = c. Determine p(m(g)).\nAnswer: 258*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, z: 1, i: 1, d: 1, w: 11, u: 1}. What is prob of picking 3 w and 1 u?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 803 - -470. Which is smaller: 1\/3 or o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379103470?\nAnswer: 2, 5, 317, 119591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (15 - 8) - (-15 + (0 - 3))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*i - 3*f, -3*i + 0*i - 42 = -3*f. Let g be i\/(-6)*(-24)\/(-10). Solve -5*d + z = -20 + g, d - 7 = -4*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 626, 1373, 2120, 2867, 3614, 4361?\n\"Answer: 747*x - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42265.7 milligrams?\nAnswer: 42265700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - -166. Suppose -k - 2*y = -51, 60 = 3*k + y - p. Calculate the remainder when k is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -1)\/(16\/288*18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - r - 2*r - 26, 4*j + 2*r + 24 = 0. Let u = 10.8 - 11. What is the nearest to -1 in u, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 32*t**2 + 70*t - 77. Let r be u(34). Suppose 5*x + 21 = -29. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 12, m: 2, r: 2}. Give prob of sequence irrm.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(32)*3)**2 + (1*(sqrt(32) + sqrt(32) + -1*sqrt(32)))**2).\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = 0, 862*n + 12 = 2*g + 865*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144*t**3*v**2 - v**2 + 3 wrt t?\nAnswer: -432*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 7*t**2 - 49*t + 45. Determine r(-5).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62813 by -62813.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:12 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 31532 = -13*b + 1638. What are the prime factors of b?\nAnswer: 2, 14947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:43 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-135)\/(-180) + 3*285\/12. Solve 1247*z - i = 1256*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -599954*c**3 - 2173376?\nAnswer: -1799862*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2310 and 1876?\nAnswer: 309540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 2.21. Sort t, -4, 0 in descending order.\nAnswer: t, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34340, 34184, 33920, 33542, 33044?\nAnswer: 32420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1 + 120*j + 150*j - 2565*j - 555*j. Let x be w(7). Let d = x + 399109\/20. What is the common denominator of -27\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.993261 rounded to 3 dps?\nAnswer: -0.993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:37 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.2. Let g(q) = 5*q**2 - 48*q + 34. Let w be g(9). Which is the nearest to -0.1? (a) u (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**5\/20 - r**4\/12 - 2*r - 31. Let o(l) be the first derivative of j(l). Give o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x + 180 = -100 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14591700 to the nearest 10000.\nAnswer: 14590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180613.44 hours to weeks.\nAnswer: 1075.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33036923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4 + y**3\/3 + 7*y - 8. Let q(i) = 37*i**2 + 7*i. Calculate 7*f(t) - 2*q(t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 73.46877.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + -12)*((-65)\/(-10) + -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -166*l**3*u**3 - 100*l**3*u**2 + 71*l*u - 2*l + 26*u**3 wrt l?\nAnswer: -996*l*u**3 - 600*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -467*a**3 + 6*a + 537. Let d(j) = -1399*j**3 + 17*j + 1610. Let t(q) = 6*d(q) - 17*f(q). Differentiate t(v) wrt v.\nAnswer: -1365*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 1. Let b be 1*((w - -5) + -2). Suppose -3*j + 4 = n, 3*j = -2*j - b*n + 5. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 0.95. What is the closest to -1\/2 in -0.3, 2\/21, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 319*f - 632*f + 317*f + 5*i + 181, 3*f + 5*i = -137 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2 + 2*r + 2. Let p(n) = n**2 - 7*n + 2. Let w be p(7). Let j be f(w). Let y = -14 + 9. Put 5, j, y in descending order.\nAnswer: 5, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1944.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24262718*s - 26251286 wrt s?\nAnswer: -24262718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2\/13)*r))**(-3\/25)\/((r*r**(-6))\/r*r\/r**(3\/11)))**(-36) assuming r is positive.\nAnswer: r**(-676224\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 166055269465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 1. What is v(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1010111210001 (base 3) to base 12\nAnswer: -24b647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502 at least as big as 2292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1232 + -1520. Which is smaller: h or -286?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + -16. Let h = c - -32. Let k = h + 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 11:29 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummnju. Give prob of sequence jm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -95.59397.\nAnswer: -100.59397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:53 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1219 or 1208?\nAnswer: 1208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -15, -12, -45, 47 in increasing order.\nAnswer: -45, -15, -12, -3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 2:03 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 12:27 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.44 + 0.54. Is -1 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 11 - 411*p - 2 + (-2*p - p + 5*p)*(-2 + 2 - 2) to j + h*p and give h.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2135, 2133, 2131?\nAnswer: 2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2936560 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 + 255. Calculate the lowest common multiple of l and 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4028209956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q - 11028 = 0. Let j be (-81)\/15*10820\/(-16). Let w = j + q. What is the common denominator of 57\/14 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3228286143 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 + f - 1. Suppose 0 = q - 19*q + 216. Let z be (-26)\/(-12) - 2\/q. What is c(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 2\/11 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 469 + -227. Let b = 52 + 45. Suppose 5*d - 7 = -w, 4*w - b = -4*d + 7*d. What is the greatest common factor of v and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 + 9. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + p - 2. Let i(g) = 7*g**2 + g - 3. Let w(d) = 6*i(d) - 10*u(d). Let n be w(2). Suppose 0*l = -2*l + n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*v**3 - 325*v + 325*v + (-3*v**3 + 5*v**3 - 3*v**3)*(4 - 6 - 1))*((0*v - 2*v + 0*v)*(-4 + 0 + 2) - 2 + 5 + v - 3*v).\nAnswer: -52*v**4 - 78*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*b - 6. Let h be 48\/(-88) + (-83)\/(-11). Factor -6 - 3 + b*r**2 - h*r + r.\nAnswer: 3*(r - 3)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l + 23*l - 8*l to s*l + m and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15320\/5745)\/(16\/(-90)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 8\/217, 145.789 in decreasing order.\nAnswer: 145.789, 0.4, 8\/217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6230 is divided by 33 - ((-10 + 100)\/9)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -17*w**3 - 7*w**2 - 3*w + 41*w**3 + 14 - 25*w**3 + 2*w. Let i be m(-6). Let t be i\/(-2)*1\/2. Solve 0*r + t = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n - 5. Let x be k(8). Suppose 2*h - 7 = x. Let t be 2\/h - (-1506)\/27. What is the greatest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(153) - sqrt(17) - (((sqrt(425) - (1*sqrt(425))**2) + sqrt(425) - sqrt(17)) + sqrt(17)).\nAnswer: -20*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -968665*n**2 - 3849*n. Let d(t) = -1258*t**2 - 5*t. Determine 3849*d(f) - 5*y(f).\nAnswer: 1283*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((4 + -4)\/3)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u + 6. Let v be h(-7). Suppose -v = 2*y - 5*y. Suppose -o = y*p - 10, -6 = -4*p + 10. Solve -2*q - 12 = o*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 2:33 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5 - ((-9)\/6)\/((36\/168592)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 20*f**2 - 4*f + 4. Let i be l(5). Suppose 2*r - 302 - 9 = -p, 2*p + i = 3*r. What are the prime factors of r?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2124 divided by 59\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1abb (base 13) in base 9?\nAnswer: -5480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 239243, 239052, 238861, 238670?\n\"Answer: -191*z + 239434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*a - 1260, 123*p = 118*p + a + 2100. What is the greatest common factor of p and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 40. Let z = w - 26. Let o = z - 1. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djxxd. Give prob of sequence xxd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-2) - (-841)\/(-406)) + 1 + 0. What is the closest to 5 in r, -2\/7, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**4\/4 - b**3 - 7*b**2\/2 + 9*b - 116. Let i be o(1). Solve i = 2*t - t - 2*q, 2*t + q = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4386 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 10745*f**2 + 64605*f - 96975.\nAnswer: -5*(f - 3)**2*(f + 2155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161223.\nAnswer: 3, 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 14*m + 42. Let l(i) = -i**2 - 15*i + 45. Let k(x) = 15*g(x) - 14*l(x). Let b(s) be the second derivative of 39*s**3\/2 - s. Give b(k(y)).\nAnswer: -117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 0 + 5 - -5*(-2 + sqrt(19))) + (2*sqrt(95)*2)\/sqrt(5).\nAnswer: -5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/11*330\/60.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -20*q - 44. Let o(l) = -7*l - 15. Give 6*a(t) - 17*o(t).\nAnswer: -t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*l**4 + 613*l**2?\nAnswer: -3384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 83942092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137683 + 4958*x + 137683)*(-5*x + x + x)*(0 + 1 + 2*x**2 + 1).\nAnswer: -29748*x**4 - 29748*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.61, -13\/5 in decreasing order.\nAnswer: 0.61, 0.3, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 39 - y + 0*y**3 - 39 - 2*y**3. Let w = 3 + 6. Let f(c) = 8*c**3 + 4*c. What is w*k(v) + 2*f(v)?\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 163 = 40. Do f and 29 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (10 + 11 - 34)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -49. Suppose 0*w + 5*w - s = 0. Solve -5*r - 4*c - 20 = 0, 3*c + w = 2*r - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -392 (b) -16\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 937381483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.183 - 0.14786. Round n to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 361530530 + -5?\nAnswer: 361530523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -211.05 and -10.\nAnswer: 2110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**2 + 17*y + 5. Let l(k) be the second derivative of k**4\/12 + 3*k - 107. Calculate l(r(n)).\nAnswer: 4*n**2 - 68*n + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124329981733751138 + 124329977828587428.00000053. Let p = f - -3905163694. Let i = 16 + p. What is i rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -1140*u. Let f(j) = 4*j**2 + 608 - 298 - 310. Determine a(f(d)).\nAnswer: -4560*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 10*k + 8. Is 14 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcl when three letters picked without replacement from clllclcccclclcllcll.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/2)*t*t*t*t**(-6)*t**(2\/19)*t*t**1 assuming t is positive.\nAnswer: t**(-53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4235 + 0.1235. Let u = -0.8 + -0.2. Which is the smallest value? (a) -0.5 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10021667?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*k - 4046*k - 1630*k.\nAnswer: -5171*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*h - 6, -4*h - 22 = -5*a - 112. Solve 19*t - 16 = 15*t, o = 5*t - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3594 - 3560. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((23*g + 4*g + g)*(6 - 4 + 0) - 4 - g + 4)*(3*g**2 - 2*g**2 + g**2) to x*g**3 + w*g + u + h*g**2 and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 3*w - 100, -w - 4 = 0. Let t be 48\/i*-2*7. Is t <= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1034.32 and -5548229.\nAnswer: -5549263.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (470\/(-1974)*(-9 - -2))\/((-15)\/54)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:54 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*d**3 + 380*d**3 - 192*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1568427 minus 0.03433?\nAnswer: -1568427.03433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3272 - 4832. Let q = -1489.1 - t. Round q to the nearest integer.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 - -228. Put 11, i, 5 in increasing order.\nAnswer: i, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*a**4 - 15130*a**3\/3 - 3020*a**2 + 4570*a\/3 + 21 = 0.\nAnswer: -9, -1, -7\/521, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**3 + 59*b**2 - 4*b - 49. Is i(19) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74998556?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**5 + 9*s**2 + s**5 - 5*s**2)*(-5 + 4 + 2 + (-6 + 2 + 3)*(-5 + 1 + 5) - 1 + 0 + 2 + 1 - 3 + 5).\nAnswer: -4*s**5 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 3. Calculate a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79756356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563778989?\nAnswer: 5879, 436091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 7}. Give prob of sequence nuuu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6286360 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3987 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(3) + 5 + sqrt(15)\/sqrt(5).\nAnswer: 3*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111001000110010 (base 2) in base 4?\nAnswer: -113020302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-212)\/10*(-16 - (-18 + 7)). What is the highest common divisor of x and 5194?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7102 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/5864?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -3 (b) 0 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.39 + 0.09. Let q = r + 0. Let p = -0.05 + -3.95. Sort 3, p, q in ascending order.\nAnswer: p, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y + 41*c + 82 = 39*c, -c - 9 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86986 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -181*o**2. Let w(v) = v. Calculate g(w(q)).\nAnswer: -181*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 94.200994?\nAnswer: 99.200994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/1043 + -151\/1043. What is the nearest to 0.6 in 3, b, -4, -14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -1, -2\/9, 2\/5 in decreasing order.\nAnswer: 20, 2\/5, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 9. Let c(v) = 18*v**2. Calculate c(h(z)).\nAnswer: 18*z**2 - 324*z + 1458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i + 6. Let p be ((-6)\/(-8))\/((60\/208)\/15). Suppose -67 + p = -7*k. Determine f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5260940 - -0.2?\nAnswer: -5260939.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66304 + 114612. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102200 + -202?\nAnswer: -2110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.3 - 14.2. Let k = 0.9 + u. Let x = k - -5.0000035. Round x to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49911660 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + 1 + (sqrt(5808) - (1 + (sqrt(5808)*2 - sqrt(5808)) + sqrt(5808))))**2 + 5.\nAnswer: 440*sqrt(3) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 480438 at least 480437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-5))\/((-6)\/(-15)). Let r(v) = -v. Let n = 1 + -5. Let m be r(n). Solve -3*p - 6 = 0, -5*k - m = -o*p + 5*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -345, -12502, 4, 3 in ascending order.\nAnswer: -12502, -345, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 3*g - 207. Let h be g\/(-8) - (-4)\/32. Which is smaller: h or 6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73888653?\nAnswer: 3, 47, 149, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/28 - (-173 + 174). Is d bigger than 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*-1 + (3 - (-969)\/(-3)). Find the common denominator of 101\/14 and (-186)\/(-136) + 38\/x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26\/5*v - 2\/5*v**3 - 2*v**2 - 14\/5.\nAnswer: -2*(v - 1)**2*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 113 = -5*r, -151*r - y = -154*r + 78. Suppose -k - 2 = -3*k. What are the prime factors of (r - 5)\/(k\/2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8074, -32282, -72636, -129142, -201806, -290634, -395632, -516806?\nAnswer: -654162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107834 is divided by 125?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*x + 77 = -731*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 201\/536 - 35\/8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6290482 and 84436.\nAnswer: 12580964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7*x - 40 = 0. What is the third derivative of -33*s**5 + 4*s**2 + 14*s**5 + x*s**5 wrt s?\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 8*w + 1. Let r be j(-8). Put -1\/2, r, -1.3 in ascending order.\nAnswer: -1.3, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 112, 2, 3, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190834807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 84\/5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*v + 6 = 3*z, 2*z - v = -2. Let i = 5 - 3. Let x = i - z. Calculate the lowest common multiple of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*4 - (-3*-5*sqrt(77) + sqrt(77)))\/((-1*(sqrt(112)*-3 - sqrt(112)) - sqrt(112))*5).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21852, 22937, 24022?\nAnswer: 25107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -2*z**2 + 1\/12*z**4 + 0 + 1\/6*z**3 + 0*z. Suppose -5*b = -4*b + 3. Determine p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -42.6\nAnswer: -17.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 6*t + 2. Let p(w) = 4*w**2 - 13*w - 2. Let j(y) = 13*y**2 - 39*y - 5. Let u(m) = -2*j(m) + 7*p(m). What is 13*r(c) + 6*u(c)?\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2276052*r - 2871474?\nAnswer: -2276052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 8*p = 1688. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00365456 rounded to five decimal places?\nAnswer: 0.00365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*t - 2 = 0, u - 2*t + 3 = 5. Suppose -u*k + 23 = -7. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -14568.\nAnswer: 65\/7284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 72 - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -25 + 37. Solve -3*s = -a - 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49\/5 (b) -2\/13 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 4*r**2 - 12*r + 3. Let a be m(-6). Suppose -5*u = 4*y - 1624, 5*y + a*u - 1493 = 537. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 202248 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 36*n - 77. Let c be r(11). Let a = c - 125. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**5 - 1509*h**4 + 2*h**3 - 4689*h**2 - 12*h wrt h.\nAnswer: -600*h**2 - 36216*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + 61*k + 18. Let j be d(11). What is the third derivative of 12*m - 32*m + 10*m**2 + 11*m - j*m**3 + 9*m wrt m?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 258734, 258776, 258818, 258860, 258902?\n\"Answer: 42*c + 258692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 615428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6369699636 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606325 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134 - 70 - 64 + 1566*r**3.\nAnswer: 1566*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13 or 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*r + 237 - 237)*(2 - 3 + 2)*(-1 + 2 + 0).\nAnswer: 104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c + 79a?\nAnswer: 7f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 26*m**3 + 2*m**2 - 3*m + 4. Let f be d(3). Let b be 6\/(-4)*(-7 - f\/(-105)). Let 6\/7*g**3 + 2\/7*g**4 - 4\/7 - 6\/7*g + b*g**2 = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 0, -h = q + 2 - 1. Let d(m) be the second derivative of 1\/3*m**4 + 1\/2*m**2 + 0 + 0*m**q + 2*m. What is the derivative of d(j) wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*d**2*n*y - 2*a*d**2 - a*d*n**2*y - 2*a*n*y + 267*d**2*n**2 - 54*d**2*n + 7322*n**2*y - 83 wrt n?\nAnswer: -2*a*d*y + 534*d**2 + 14644*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 3. Let i(t) be the second derivative of t**5\/120 + 53*t**3\/2 - 2*t - 30. Let y(p) be the second derivative of i(p). Determine -u(x) - 3*y(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from zokogpopzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(162)\/sqrt(6))\/sqrt(9) - sqrt(3)) + sqrt(3)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 10. Suppose -4*v - 5 = -f*v. What is the smallest common multiple of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-99)\/105 + 1)*-10. What is the closest to 2 in 3, a, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(342)*-1)\/sqrt(6))\/(sqrt(33)\/(sqrt(33)\/sqrt(3))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647697.\nAnswer: 23, 71, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4425.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1157 and 4277429.\nAnswer: 1157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.001 - -0.101. Let c = -16 - x. Let n = 23.4 - 30.4. Is c >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5384\/(-3))\/(-1) + (-51)\/(-153) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/(4\/(-96)*-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518022429 is divided by 11642?\nAnswer: 11639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dss when three letters picked without replacement from {d: 12, s: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796972921?\nAnswer: 101, 307, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/11)\/(o**(-2\/3)*o)*o**7*(o*o**(-2\/11))\/o assuming o is positive.\nAnswer: o**(208\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 3*m**3 + 3 - 4*m**3 + 2*m**3 to the form v*m**2 + q*m + b*m**3 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 264248137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -8*n - 5. Determine o(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r + 6. Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-37)\/(629\/(-170))*(-22)\/(-5). Calculate the highest common factor of l and 550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - (-56)\/10. Let c(o) = -5*o. Let f(k) = -20*k. Let r(v) = 4*v. Let p(b) = 2*f(b) + 11*r(b). Calculate n*c(s) + 7*p(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 c, and 2 d when four letters picked without replacement from iwqqqqwqdcicd.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l - 128 = 5*g - 134*l, 0 = 53*g + 2*l + 868 + 620 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + -2 - (-119 - -102).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/7))**(-4\/5)\/(g**(-9)\/g*g*g**(2\/11)\/g) assuming g is positive.\nAnswer: g**(3692\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 890110 and 5668.\nAnswer: 194043980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16221\/10 or 1621?\nAnswer: 16221\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(500)*1 - sqrt(500) - (sqrt(500) + (sqrt(500) + sqrt(500) + 0 + sqrt(500))*2)) + 2)**2 - (-4 + sqrt(500)*1 + sqrt(500) + -6*sqrt(500)*-1)*-3.\nAnswer: 160*sqrt(5) + 1992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3051)\/(-621) - 4\/46.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/16 - (-1 + -1). Let x be 5\/(-4 + (2 - -1)). Sort y, 0.3, x in decreasing order.\nAnswer: 0.3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/60)\/((24\/(-15))\/(-4)). Factor 1\/2*j + 1\/4*j**2 + k.\nAnswer: (j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.1687 kilograms in milligrams?\nAnswer: 239168700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 841 - 1074 + 70*t + 385*t + 18*t + 23*t wrt t.\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -119*l - 3. Suppose -f - 16 = -15. What is the units digit of j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4944 + -4924. Which is the nearest to 0.1? (a) 10 (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - y - 3. Suppose 3*p + 2*j = 0, 2*p + 1 = -4*j + 3*j. What is the remainder when 110 is divided by w(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12481 - 10199 = 504*u for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 1\/14, -0.2, 5, -0.4, 20 in ascending order.\nAnswer: -39, -0.4, -0.2, 1\/14, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 - 35 = -26*s - 454 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1152 and -7\/1514.\nAnswer: 872064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -4 - 9*10\/20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 49*b - 1. Let z(k) = -4433*k**3 + 6*k**2 - 1622*k - 4. Let j(u) = -6*q(u) + z(u). What is the second derivative of j(a) wrt a?\nAnswer: -26598*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 3944*x\/11 + 1074.\nAnswer: 2*(x + 3)*(x + 1969)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -12, -66, -152, -270, -420?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 71*n**2 - 741*n - 52626. Determine f(-71).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufkfuffufukkfffkuk. Give prob of sequence ukf.\nAnswer: 25\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152\/7 - 2\/7*v**2 + 96\/7*v = 0. What is v?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + v - 154, -457 = -3*r - v - 7. What is the greatest common divisor of r and 814?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-26) - (-39)\/(-507). What is the closest to p in 51, -0.1, 1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -1 (b) -0.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.19 less than 114320299?\nAnswer: 114320292.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -14*a**4 + 100848*a**3 + 17089436*a**2 - 59647728*a + 22416498 = 0.\nAnswer: -169, 3\/7, 3, 7369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12132 + 12113 + 3726*s - 24246 as v + t*s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -14*b. Let x(h) be the second derivative of h**4\/6 + 4*h. What is x(m(t))?\nAnswer: 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 0.3315063.\nAnswer: 0.36465693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19)\/57 + 2\/4. Let j be (42\/140)\/(9\/4). Let x = 6 - 5.8. Which is the nearest to 2\/5? (a) j (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + n**2 + 1. Let k be h(0). Let l be (-116)\/(-6) + (-6)\/(-9). Let c be 35\/l - (-1)\/4. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 31 = -4*f, 7*j - 4*j - 4*f - 61 = 0. Suppose 2*i + 9*x + 22 = 4*x, 3*i + 5*x = -j. Let t(g) = -g**2 - 3 - g + 6 - 4 - 20*g**3. Give t(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u + 120. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20544 and 214?\nAnswer: 20544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y, 15*n + 7*n + 8*y - 108 - 46 = 3*n + 112 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + (-9)\/10 + 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0698285 minus 1.669?\nAnswer: -1.5991715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*b**2 + 242 - 243 - 33*b**2 in the form t + l*b**2 + s*b and give l.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16\/3, 1369, 0.2, -1\/2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17991539?\nAnswer: 53, 79, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 198127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171\/910 - -3\/70. Let m be (-1143)\/(-1404) + 1\/(-3) - 0. Let d = p - m. Which is the third biggest value? (a) d (b) 0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92240 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**8*(x**(-1\/3)*x*x)\/x*(x\/(x*x**(-1)))**(-4)*(((x\/(x\/(x\/(((x**(1\/4)*x)\/x*x)\/x))))\/x)**12)**8 assuming x is positive.\nAnswer: x**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6409 is divided by 278?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26211*x + 26180*x - 75 = 328 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b685 (base 15) to base 12\nAnswer: 1a408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -102, -9, -5, 2, -2 in ascending order.\nAnswer: -102, -9, -5, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00126309 plus -0.5?\nAnswer: -0.49873691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 65, 135, 7, 5, 4 in increasing order.\nAnswer: -1, 3, 4, 5, 7, 65, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(40\/(-144) + 4\/(-18)) + 0. Solve -3*d = -m - z, -12*d - 2*m + 6 = -10*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*g = 15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 120 + -39530\nAnswer: -39410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000140231 to 6 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33886 - 69539 = -21*i + 113027. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.670461 days to weeks.\nAnswer: 9.952923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 3*q + 0*q + 36.\nAnswer: -q + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.434 + -2.636. Let w = -0.07 - f. Sort w, -0.4, -1 in decreasing order.\nAnswer: w, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160 - 156. Solve z*f - 8 = 4*k + 16, 0 = 5*f - 3*k - 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 5*q = -14*q + 3*f + 55, 10*f = 11*q - 172 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.735 + -0.635. Let u be ((-1)\/(-21))\/((-2)\/(-6)). What is the second smallest value in u, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157209317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -0.0017?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let j(w) = -w**2 + 14*w - 19. Let p be j(13). Determine a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3958 + -3693. What is the highest common factor of 583 and z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4.498.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 1528*k**2 + 1529*k.\nAnswer: -k*(k - 1529)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 634, 635, 636, 637?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, t: 2, s: 1}. What is prob of picking 1 t, 1 s, and 1 l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 10. Suppose n - 34 = -3*v. Solve 1 = 4*a + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2740*p + 456. Give y(0).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f = 4*f - 58 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 1 + 8*f**2 + f + 0*f. Let r be s(-2). What is the highest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 - 1058\/(-92). Suppose t*p + 17 = 50. Solve -z - 3*k - 2*k = p, 5*z = -2*k - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*s - 2*z + 3*z, 4*z + 53 = -5*s. Let l(c) = 2*c**3 + 18*c**2 + c + 13. Let m be l(s). What is the highest common divisor of 6 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(156) + (sqrt(156)*-2 - sqrt(156))) + (sqrt(156) - sqrt(156)*2)*-6)*-6)\/((1*-1*sqrt(72))\/(sqrt(30)\/(sqrt(5) - sqrt(5)*-1))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12010 (base 3) to base 14\nAnswer: 9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 34 - (-5 + -1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c + 2. Suppose 3 = -2*s - 9. Let a(p) = 8*p - 2. What is the remainder when a(3) is divided by r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 + 9. Suppose 154 = -4*t + 182. Calculate the highest common factor of t and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+58160408\nAnswer: 58160408.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**3 + s**2 + 1 - 3*s - 3*s**2 + 3*s**3. Let w be c(-3). Suppose w = 4*i - 17. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 1299*z**2 + 18*z. Let g(b) = b**3 - 325*b**2 + 4*b. Calculate -9*g(n) + 2*t(n).\nAnswer: -n**3 + 327*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 20 = 4*s. Solve 4*h + 3 + s = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 12*x**3 - 6 - 9*x - 13*x**3 + 9*x**2 + 11*x. Let a be (-3 - -2)\/(2\/(-18)). Let f be n(a). Solve -2*g - g + f = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus -0.07?\nAnswer: -21.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -11*l**4\/3 + 125*l**3\/6 - 154*l**2. What is the first derivative of s(z) wrt z?\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -924 + 1603. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, 1224, -4, 6 in descending order.\nAnswer: 1224, 6, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4, -0.4, 6, 131?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(21\/(-18)))\/((-22)\/308)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -1\/5 (b) 122 (c) 9 (d) 0 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-236)\/(-3658)*279*2\/(-441).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 222574 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -821*u + 142923. Determine x(173).\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3\/8*x**3 + 1\/4*x**4 + 0*x**2 + 5*x + 0 + 3\/80*x**5. Factor s(q).\nAnswer: 3*q*(q + 1)*(q + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7498*k**2*x - 2*k**2 + k - 41 wrt x.\nAnswer: 7498*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20260588 and 8756.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3643*v**3 + v + v - 3818*v**3.\nAnswer: -175*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.4 - 5. What is the closest to 1 in -1, q, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*k - 0. Let q be 2\/k - (-150)\/35. Suppose 2*c - 8 = 5*c + q*y, -3*c = -2*y - 4. Is -3 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160*-9\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = n - 69 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 833681 and 91589.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 147296.299\nAnswer: 589185.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 - (0 - 1)\/(44 + -39). Let v(y) = y**3. Let c be v(1). What is the third smallest value in -1\/3, a, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -25*f - 172. Calculate the lowest common multiple of 252 and p(-7).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2. Let v(q) = 8*q - 4. Let n be v(0). Let u(z) = z + 4. Let s(d) = -d - 3. Let o(p) = n*s(p) - 3*u(p). What is o(w(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18055*k**3*l**2 + 1333*k**3*l - 233*l**2 - 5*l - 104 wrt l?\nAnswer: 36110*k**3 - 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*o + 182*o + 176*o - 551*o + 4*o**2 - 2*o**2.\nAnswer: 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k + 1269815000 = -45*k + 93*k. Round k to the nearest 1000000.\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*q**2 - 3*q\/4 + 1\/2 = 0. Calculate q.\nAnswer: -2\/13, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k - 0. Let v be (-2)\/8*6*k. Let d = 5065 - 5069. Sort -2, v, d, -2\/3 in increasing order.\nAnswer: d, v, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 1. Let k = 9.000006 + q. What is k rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12223 + -51?\nAnswer: 12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*u**3 + 140*u**3 - 43*u**3 - 44*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1425)\/(-114) - (-7)\/(-2). Let s(v) = -9*v**3 + 4*v**2 - 2*v - 2. Let y(j) = -19*j**3 + 9*j**2 - 5*j - 4. Calculate g*s(c) - 4*y(c).\nAnswer: -5*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268306 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/90 - (1 - 3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -10006)*22\/(-6) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5\/3 - 4*g**4 - 104*g**3\/3 + 144*g**2 + 384*g = 0.\nAnswer: -6, -2, 0, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + 60*k - 15. Calculate j(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 3*v - 3*b, -5*v + 3*b + 240 = 8*b. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let v(o) = o**2 + 2*o - 2. Determine v(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 99\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521 is divided by 376?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -52 (b) 0 (c) 3\/11 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1936 - 0.0936. Which is the fourth smallest value? (a) -2\/5 (b) 5 (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, -318, 1, -24 in ascending order.\nAnswer: -318, -24, 1, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 150*b + 3. Let j be o(-3). Let v = j - -2689\/6. Calculate the common denominator of -103\/20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6097, -12506, -18915, -25324, -31733?\nAnswer: -38142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 + 2232*c**4 + 50169*c**3 + 296238*c**2 + 156924*c - 505560 = 0.\nAnswer: -11, -10, -2, 1, 766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23712085 or 23712086?\nAnswer: 23712085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 21. Let r(k) = b*k - k - 4*k + 2*k. Let w(p) = -2*p. What is w(r(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*h**2 + 25*h**2 + 34*h**2 - 140*h**2.\nAnswer: -190*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrrrrrrrrrrr. What is prob of picking 1 l and 1 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15131*a*i**5 + 2611*a*i**3 + 278*a*i**2 + a*i - 4*a + 4*i**2 + 63*i wrt i?\nAnswer: -907860*a*i**2 + 15666*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(176)*2)\/((sqrt(48) + sqrt(192)\/sqrt(4))\/sqrt(6)))\/((sqrt(2) + 4*sqrt(16)\/sqrt(8))*-6*-6).\nAnswer: -sqrt(11)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = 3*z - 5, -5*h - 2 = -z. Suppose 3*y + 2*y = h. Let v = 15 - 14. Sort v, y, -2.\nAnswer: -2, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553907 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m**2 - 6*m - 3. Let w be -7 - ((-2 - 6) + 2). Let p be k(w). Solve p*t = 18*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1285 + 12.\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Factor 0*x - x**2 - n*x - 8 - x**2 - 5*x.\nAnswer: -2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 1:45 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + 0 + 5 + -20 + 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15416154 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 40*b + 4. What is the smallest common multiple of g(-10) and 2?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/6)\/3*(-10)\/(-5). Let z = -7 - -11. Which is the closest to r? (a) 0 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 9*c - 8*c + 2 = -12*c, -53*k + 58*k + 28*c - 82 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.077? (a) -213 (b) -1\/9 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvp when three letters picked without replacement from mtpinmpmnmnmvpn?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-3)\/34)\/(354\/(-708))?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 197, 392, 587, 782, 977, 1172?\n\"Answer: 195*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(42)\/sqrt(7)) + (3 + sqrt(242))**2.\nAnswer: 67*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324049184.\nAnswer: 2, 443, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1341445 (base 6) to base 8\nAnswer: 223445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)*g\/(g**12\/g))\/(g*g\/(g**19*g)*g)**6 assuming g is positive.\nAnswer: g**(463\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -k + 180, 12*t = 7*t - 15. List the prime factors of 985\/3 - 65\/k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 870\/97277?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 26*w - 34. Let j be n(11). Calculate the highest common divisor of 112 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457184*d**2*l**2 - d*l + d + 3*l**2 - 6*l + 398 wrt d.\nAnswer: -914368*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9. Find the third derivative of 2*n**2 + n**4 + l*n**4 + n**4 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 37. What is the remainder when 131 is divided by z(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221762 is divided by 15840.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let y(b) = -5*b**2 - 156. Give q(y(f)).\nAnswer: 10*f**2 + 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2564 - 1907 - 2657 = -123*n + 1605 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**3\/3 - 26*a. Let r(d) be the second derivative of -d**4\/2 + 2*d. Determine l(r(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, c: 1, o: 4, a: 1}. What is prob of sequence kkca?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 12*n - 17. Let k(x) = 18*x - 26. Let q(a) = -5*k(a) + 8*t(a). Calculate q(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29533 and 1680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from ofzo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p + 141 = 40*p + 2625 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -31308?\nAnswer: -31308.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.934?\nAnswer: -1.434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -3343 and -3343 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10630, -10629, -10630, -10633, -10638?\nAnswer: -10645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, v: 1, t: 1, s: 3, p: 2, e: 3}. What is prob of picking 1 s and 1 v?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099686983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 - 28 = 9*v. Let x = v + 119. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 141*n**3 - 575*n**2 + 723*n - 290.\nAnswer: (n - 2)*(n - 1)**2*(n + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6601*k - 27516*k - 3 + 3.\nAnswer: -34117*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21.4 (b) -34 (c) 2\/5 (d) -2 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -14. Let d = -3 + s. Suppose -d + 1 = -2*f. Solve -4*j = r + 14, 0 = -2*j - f*r - r - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(1\/(3 - (4 - 0))). Which is the fourth biggest value? (a) -7 (b) w (c) -3 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xt when two letters picked without replacement from {t: 6, i: 5, x: 5, c: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v + 0*v)*(-v**2 + v**2 - 2*v**2) - 2331*v**3 - 2261*v**3 + 4434*v**3.\nAnswer: -162*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -15 - (-8 - 1) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - o**2 + 3*o - 4. Let z(b) = 2*b**3 - 2*b**2 + 4*b - 5. Let r(n) = 4*y(n) - 3*z(n). Give r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = 21. Suppose 2*q - i = 1 - 18, 0 = -x*q - 2*i - 20. Is 6 a factor of (-2)\/q - (-79)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.11 (b) -36 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -5*g - 2530. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1691405929 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187*t - 198*t - 290*t + 950*t - 175 wrt t.\nAnswer: 275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 15 = -5*x + 22, 5*x - 2*j = 33 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**5 + 526*q**4 + 34854*q**3 + 101426*q**2 + 100384*q + 33288 = 0?\nAnswer: -146, -114, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 60489*i. Let d(r) = 4*r. What is d(a(w))?\nAnswer: 241956*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -164, -8, -0.11, -6\/23?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/24120 and 61\/156?\nAnswer: 313560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4be36 (base 15) in base 2?\nAnswer: -111011010010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -392 - -420. What is the tens digit of -7 + j\/21*36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from yyyiiyyipagygyygyyy?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 7:39 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6)*(-6 - -6))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 6*b - 6. Let z be h(7). Let r be 8\/(0 - 8) - (-50)\/52. Is z != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 + 8288*b**2 - 8289*b = 0 for b.\nAnswer: -8289, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*sqrt(75)*2*3 - (sqrt(75) + -1 + sqrt(75)*-1 + sqrt(75) + (sqrt(75) - (4 + sqrt(75)*-2))))**2 + 2).\nAnswer: 3000*sqrt(3) + 90081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q**3 - q + q)*(5 - 1 - 1)*(0 + 0 - q) - 151*q + 151*q + 122*q**4 as o*q**3 + r*q**2 + g*q**4 + n*q + s and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 13 (b) 4 (c) -5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + t**2 - 2*t - 3. Let v be k(-2). Let m be 0*1\/v - -13980. Let l = 9080 - m. Round l to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309 (base 11) in base 6?\nAnswer: 22014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssssssssssnsss. What is prob of sequence sn?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78986378?\nAnswer: 2, 349, 113161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 8*w - 7. Let y be v(-6). Suppose -4 - 16 = y*d. Suppose 0 = u - 6*t + 30, 5*u - 9 = -3*t + 6. Put 5, u, d in decreasing order.\nAnswer: 5, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2261235819 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/5, 0, -4.4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11748.\nAnswer: 2, 3, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18536, 15998, 13460, 10922, 8384, 5846?\n\"Answer: -2538*q + 21074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-16))\/3)\/(2\/2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1043225 (base 6) to base 16.\nAnswer: cd61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a**2 - 2. Let c(p) = 276*p**2 - 51. Let w(i) = 6*c(i) - 153*r(i). Let d(h) = -3*h. Give w(d(x)).\nAnswer: -243*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*l - 127*l = -127466. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33621 divided by 3?\nAnswer: -11207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 164. List the prime factors of 852\/2 - (x + 1).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-4) + 12\/(144\/(-21)). Let r(j) = -3*j**3 - 22*j**2 + 11*j + 4. Let q(t) = t**3 + 7*t**2 - 4*t - 1. Let c(b) = 7*q(b) + 2*r(b). What is c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(5\/8)*i))\/i**18*i\/i**(-1\/37)*i\/(i*i**(-1\/66)))**(-5) assuming i is positive.\nAnswer: i**(858745\/9768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 310984997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 36*o + 138. Let f be i(4). Which is the nearest to 1? (a) 1\/6 (b) f (c) 0 (d) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 35, 84, 153?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2329 by -1.\nAnswer: -2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x**3 - x**2 - 3*x + 11. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*z**2 + 153*h*z - 2*z**2 - 139*z wrt h?\nAnswer: 2*z**2 + 153*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/1494673?\nAnswer: -5\/1494673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4.765+-0.016\nAnswer: -4.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 2, 28, 99 in ascending order.\nAnswer: -3, -1, 2, 5, 28, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (100*o - 19*o - 15*o - 83*o - 555*o**2)*(7*o - 7*o + 4*o**2) in the form z*o**3 + s + f*o**2 + g*o + b*o**4 and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(3)*-1 + sqrt(9)\/(sqrt(3) - sqrt(12)) - ((sqrt(12) + sqrt(3))*5 - -4*(sqrt(3)*-1 - sqrt(3))))**2 + -1.\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2832 is divided by 1317?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3935*i**2 + i - 353.\nAnswer: -7870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -7466, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.6*217.779\nAnswer: -566.2254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352512 divided by -24?\nAnswer: -139688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 94 = -32*o. Let n(v) be the third derivative of 8\/3*v**3 - 2\/3*v**4 - 11*v**2 + 0*v - 2\/105*v**7 - 1\/5*v**5 + 2\/15*v**o + 0. Factor n(f).\nAnswer: -4*(f - 2)**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -75*r + 20975. Calculate j(280).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 0.5, 1 in ascending order.\nAnswer: -126, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-28)*(-2)\/(-6). Suppose -2*t = -7*t - 20. What is the closest to v in 2, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3688253 is divided by 751?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 - 8*w**2 - 13*w - 66. Let u be p(6). What is the closest to 2\/5 in 0.1, u, 174, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2274*b - 3857*b + 373*b + 9*b to the form n*b + u and give n.\nAnswer: -5749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5935, -6008, -6091, -6190, -6311, -6460?\nAnswer: -6643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1129 + 2496. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 7*l - 8. Let x be y(-5). Let p be (-3)\/x + 1 + (-9)\/(-18). Suppose -128 = -2*m - p*m + 3*j, 5*m = 3*j + 329. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 4 = 0, -y - 6 = d. Let l(c) = -6*c + 2. What are the prime factors of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39345 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + h + 2. Suppose 2*l - 4*y - 6 = 0, l - 5*y = 5*l + 27. Let q be f(l). Let u = -8 + q. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - t + 4*t)*(-2 + 0 + 3) - 2 + 2 + t + 5*t + t - 5*t + 4*t - 2*t - t - 1453*t + 2015*t + 867*t + t + 3*t - 3*t to the form z + d*t and give d.\nAnswer: 1435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q + 10. Let s be 10 - 13 - 2*q. Let u = 5.35 + -7.35. What is the nearest to -2 in -1\/4, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:02 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9*l**2 - 27*l - 39. Is s(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hththhhhhht.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537078 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393*a + 390*a + 27 = 0, -3*a - 24108 = -5*g. What is the remainder when g is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 - 2 = 0. Let y(f) = f**3 - 4*f**2 + 3*f + 1. What is the units digit of y(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 11*n**2 - 2*n + 25. Let f be p(11). Suppose -f = -8*l + 5. Solve -o - l = m - 2, 5*m + 4*o = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkkbbbbbbkkbbbbbk. Give prob of picking 3 k.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 2*v - 4*v**2 + 0*v**3 - 2*v - 16*v**4 + 20*v**4.\nAnswer: 4*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -9 - (-59 - -43 - (1 - 2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m - 4*m)*(35 - 12 + 15).\nAnswer: -190*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*h**2 + 115 - 47*h**2 + 186*h**2.\nAnswer: 40*h**2 + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -79*q. Let y(c) = -13*c**2 - 8*c - 4. Let i(n) = 15*n**2 + 10*n + 5. Let l(k) = 4*i(k) + 5*y(k). Determine o(l(p)).\nAnswer: 395*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 24*f - 85 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 402.\nAnswer: 20904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/y**1))\/y)\/y)\/y**(3\/5) assuming y is positive.\nAnswer: y**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + i + 38, 3*n - 2*i - 18 = -3*i. Let t(r) = r**2 - 13*r. Let x be t(n). Let k = 41 + x. Which is the closest to k? (a) -1 (b) -2\/15 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2265 (base 10) to base 7\nAnswer: 6414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/61 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and ((-486)\/(-216))\/(2\/152)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 - 8786*x + 201020 = 0. Calculate x.\nAnswer: 23, 4370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11196 + 12571. Calculate the greatest common divisor of 4675 and p.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*77\/22*(-16)\/(-28)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.38? (a) -1.9 (b) 6 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 - 0.00134\nAnswer: 0.22866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.203044s in nanoseconds?\nAnswer: 7203044000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021063326 rounded to 3 dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 4 + 7 + 3*d. Let c(b) be the third derivative of b**4\/12 + b**3\/3 + 32*b**2. Determine -3*c(q) + 2*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -4*u - 8, 4*u - 343*h = -341*h - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 17*b**3 + 110*b**2 - 3*b - 13. Let f be q(-6). Sort 0, f, 8.\nAnswer: 0, 8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 + 4\/(-12). Suppose 2074 = -5*h - 2*m, v = -3*h - 6*m + 2*m - 1236. Calculate the common denominator of h\/24*1\/(-8) and 13\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 23240*j - 441203. Give k(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(-12)\/(-9) - 12016\/(-24783)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-5))\/(1\/(-3)). Let f = 4.9 + 0.1. Let m = 62 - 59. Which is the second smallest value? (a) f (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*g - 458*g + 81*g**2.\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 83889, 179800, 275711, 371622, 467533?\n\"Answer: 95911*z - 12022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*h**5 - 2*h**4 - 319*h**3 - 7*h**2 - 332*h - 7?\nAnswer: -480*h**2 - 48*h - 1914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 1064*y**3 - 5*y**2 - 9*y - 7. Let w be p(-2). Let g = 12101 + w. Does 13 divide (2\/(-4))\/((-10)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*2)\/sqrt(8) + -5*sqrt(21)*-1)\/(sqrt(24)\/(sqrt(32)\/sqrt(4)) + sqrt(3) - (sqrt(30) - sqrt(1080))\/sqrt(10)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 divided by -37?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*p + 198*p + 2 - 26*p + 61*p + 30*p as l + q*p and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3 + 3*y - 10 - 4*y. Calculate the least common multiple of 4 and g(-18).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.56 - -2.44. Let o = 10.2 - 11. Let t = o - 0.2. Which is the closest to t? (a) -4 (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -2384.4\nAnswer: 238.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 10 + 2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2200 divided by 4\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 33 - (0 - 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*-123952\nAnswer: -371856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -641 - -915. Let y = f - 271. What is the smallest value in 1, -8, y?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d)**(-24\/7)\/(d**(-3))**12 assuming d is positive.\nAnswer: d**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 56*o**2 - 248*o - 28. Give y(4).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 3\/122, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 47. What is the nearest to -2\/7 in -2\/5, -0.2, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, -0.3, 4, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15486200.9 rounded to the nearest 10000?\nAnswer: 15490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -35*u + 9. Let o(k) = 9*k - 2. What is 9*o(p) + 2*x(p)?\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**4 - 18*b**3*z + 18*b**3 - 1280*b**2*z + 10*b**2 - 3*z wrt b?\nAnswer: -72*b - 108*z + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46256735 divided by -245.\nAnswer: 188803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**3 + 4*a + 4. Calculate y(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5 + 27\/5*o - 21\/5*o**2.\nAnswer: -3*(o - 1)*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2893\nAnswer: 578.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4, 0.17, -0.4, -152 in increasing order.\nAnswer: -152, -5, -4, -0.4, 0.17, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 9*a**2 - 10*a - 46. Let f be l(5). Solve 51 = -d + 48, 0 = -4*t + f*d + 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-278*v**2 - 71*v**2 + 506*v**2)*(-4*v + 5*v + 0*v)*(-4 + 0 + 2) in the form l*v + k + g*v**2 + h*v**3 and give h.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5673*d**4 + d**3 - 15129 wrt d?\nAnswer: -22692*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:48 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 3*q**2 - 6*q - 8. Determine s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by -3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a - 19. What is the units digit of w(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w = 8*w - 18*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*p + 477, 3*a - 344 = -2*p + 18. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**2 + 28*h**2 - 10*h**2 - 8*h**2 - 95*h - 17*h**2 in the form a*h + c + l*h**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**3 - 2*p**2 - 5*p - 7. Let j be o(-5). What is the tens digit of (j\/8)\/7*(-12 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(45\/(-546)) + -6. Let d = -929\/5 - v. Which is greater: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2709.487 + 2711. Let u = z + -0.243. What is u rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -9. Let i be 18*(-1)\/(3\/3). Let p be (i\/15)\/((-3)\/30). What is the highest common divisor of d and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -0.035906?\nAnswer: 0.135906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(735\/392) - 43.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -152, 4, 0 in decreasing order.\nAnswer: 4, 2, 0, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 86677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*f*i**3 - 2*a*i**2 - 10*a + 2*f + 395*i**2 wrt i?\nAnswer: -3*a*f*i**2 - 4*a*i + 790*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 461668 rounded to the nearest 1000?\nAnswer: 462000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 2*m + 53, 77 = -c - 2*m + 60 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/2)\/a)\/a)**(1\/5))**(-29\/2)*((a*a\/(a*(a\/(a\/(a*(a\/(a*a**(-7)))\/a))*a)\/a)*a)\/(a*a**(-5\/2)))\/(a**0\/a**(2\/11)) assuming a is positive.\nAnswer: a**(227\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = o - 27, -4*n - 1062 = -2*o - 536 - 556 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*n + 2, -4*n - 3 = 3*s + 1. Suppose 4*t - 4 = -s, 2*d + 5*t = 31. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d. Give w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r**3 - 13*r**2 + 21*r - 7. What is the hundreds digit of c(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.32 + -6.5. What is the smallest value in 2\/3, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 8 + 748*n + 315*n - 196*n to the form d + u*n and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -45495*o + 1455838. Determine c(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1406644 - -1406643.96412234. Let o = 0.05788 + h. Let a = 0.022 - o. What is a rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 - x. Let k be l(2). Let n = -7 - k. Calculate the lowest common multiple of n and 31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2153330918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -415*z**4\/2 + 770*z - 911. Differentiate a(w) wrt w.\nAnswer: -2490*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 153*o**2 + 3*o - 9. Let r be y(-5). Let b = r - -4989. Suppose -4*f - b = -2*u, -u + 4375 = -6*f + 8*f. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16508, 21115, 33628, 58001, 98188, 158143, 241820?\n\"Answer: 659*a**3 - a**2 - 3*a + 15853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -21 + -16 + 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*c**2 - 211*c**2 + 417*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129254.1938925 + -129254. Let w = n + 0.0460985. Let r = w + -0.24. Round r to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (0 + -2)) + (-492 - -503).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let z(a) = 3*a + 6. Suppose 9*f + 793 = -4*f. Let m = 66 + f. What is m*s(j) + z(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9*m + 4 - 13*m)*(2 - 2 - 1).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -4\/5*x**5 + 6 + 0*x**3 + x**2 + 0*x**4 + 0*x. Find the second derivative of p(k) wrt k.\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z, -z = g - 2*z - 81. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 292*i**2 - 5*i + 6. Let l(z) = -3*z**2 - z + 2. Give -3*l(b) + v(b).\nAnswer: -b**3 + 301*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 985285013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22242 (base 14) in base 3?\nAnswer: -11012112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3544 - 3544.01. What is the fourth smallest value in 0.3, q, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 800 and 16870.\nAnswer: 1349600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a, 5*c + a - 342 + 1 = 0. Is 73 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -23?\nAnswer: 19\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -28) + 5 - 20\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**11\/55440 - n**7\/2520 + n**4\/6 + n. Let u(q) be the third derivative of l(q). What is the third derivative of u(m) wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 88*d. Let y(k) = 378*k + 162. Give 4*l(s) - y(s).\nAnswer: -26*s - 162","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/4 - 6174*l - 12345.\nAnswer: -3*(l + 2)*(l + 8230)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 0*v + 1\/20*v**5 + 0*v**4 - 13 + 0*v**2 + 0*v**3. Factor b(x).\nAnswer: x**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 23*a**2. Let q = 218 - 213. Let g(v) = -10*v + v + q*v + 24 - 24. Give b(g(d)).\nAnswer: 368*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 116, 3, -2, 244, 21, -7, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10904085 and 1475?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 5610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 3. Let i(z) = -z + 4 - j - 1. List the prime factors of i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836561661341 less than 0?\nAnswer: 836561661341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 9\/2*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 3:33 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1999 and -127784920906.\nAnswer: -127784918907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g + 19. Let r be a(-4). Suppose -5*l + 9 = -n, r*l - 5*n = -0*l + 1. Calculate the remainder when 33 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114055922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(126)\/sqrt(2) + sqrt(28) + 5.\nAnswer: 5 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 4*v + 5. Let c(n) = 6*n**2 + 9*n + 11. Let m(p) = -4*c(p) + 9*g(p). Let r(y) = y**2. Determine -2*m(i) + 5*r(i).\nAnswer: -i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/8*(-30)\/1350*15.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6816 is divided by 3390.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a factor of 13269516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*x + 1 + 3, 3*a - 2*x = -20. Let b be (4 + 1236\/(-306))\/(a\/(-6)). What is the third smallest value in 3, -5, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y**2 + 10*y + 19. Let g be r(-2). Suppose -g*o + 6*o = 65127. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1643, -3230, -4665, -5948, -7079, -8058?\n\"Answer: 76*y**2 - 1815*y + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13789\/12 - 2277\/2. Find the common denominator of 69\/4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 0*i = -4*g - 320, -i + 49 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (-8 - -5 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(2750\/(-528))*-5*(-2)\/3?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -992, 86, 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let o(f) = -76*f + 0 - 6 + 2 - 6. Let g(w) = 37*w + 4. Let n(v) = -5*g(v) - 2*o(v). Determine n(q(b)).\nAnswer: 99*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -696*h + 1516. Determine s(3).\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 12*l**2 + 14*l + 15. Let r be h(-13). Differentiate 133*j**2 - 7 - 2 - 130*j**r wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191343 to the power of 1\/2, to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -30*s**2 - 877*s. Let x(u) = 7*u**2 + 220*u. What is 2*o(p) + 9*x(p)?\nAnswer: 3*p**2 + 226*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c05 (base 16) to base 10.\nAnswer: -7173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 0*o)*(1 - o - 1) + (-2*o + 3*o - 3*o)*(-o + 2*o + 0*o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9186.8 in -1\/10, -0.8, -2, -0.3, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:18 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 73\/31?\nAnswer: 73\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wywwywyoywyoywoow. What is prob of picking 4 o?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(-18)\/(-168) + (-919)\/12. Let h = 76 + i. What is the second smallest value in h, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - 1 + 7*z + 0*z - 24*z**2 to j*z**2 + l*z + p and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.3 and 209.79?\nAnswer: -2790.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*t + 13, -24 = -5*h + 5*t + 1. Let c(f) = 15*f**2 - 4*f + 4. Is c(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/94)\/((-6)\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y - 26. Let w be o(8). Let b = w - 31. Let k be 3 + -3 - (-4 + 0). Solve -1 = -k*a - v - b, -5*a = v + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 589*b**2*z**2 - b**2 - 2*b*z**2 - 2*b*z + 7*z**2 wrt b.\nAnswer: 1178*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 17. Let h(b) = 3*b - 25. Let x(r) = -5*h(r) - 7*l(r). Let w be x(6). Suppose -18*s + 17*s + 44 = w. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((984\/400)\/(-41))\/3.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (140 + -154 - ((-1 - 2) + 14))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r = -9*i + 27*r - 46, 5*r = -4*i - 4 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4 - 1\/(-2). Let a = -20 - -18. Suppose -5*w = -2*w. Put y, w, a in descending order.\nAnswer: w, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184944 rounded to the nearest 100?\nAnswer: -184900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12962944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17724249 and 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 32 + m**4 + 2*m + m**2 - 8*m to the form g*m**2 + n*m + s*m**4 + z + o*m**3 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - ((-12)\/(-30) + 76\/10). Solve -4*m = -p*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -192, -350, -496, -624, -728, -802, -840?\n\"Answer: o**3 - 165*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.88364 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/10 of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 98459, 197010, 295651, 394388, 493227, 592174?\n\"Answer: b**3 + 39*b**2 + 98427*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:41 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3105544.\nAnswer: 2, 13, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -22*a - 72 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95565.\nAnswer: 3, 5, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y**3 - 4*y**2 + y + 2. Suppose 2*m - 7 = -3. Does 21 divide z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*j**2 - 14*j**2 + 1 + j + 27*j**2)*(-13 + 257 + 379) + (0 + 0 + j)*(j - j + 2*j) in the form a*j + l + z*j**2 and give z.\nAnswer: -1867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 734006 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*586.92\nAnswer: -234.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*p**2\/4 + 1199*p\/4 - 303 = 0. Calculate p.\nAnswer: -1212\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 3. Give g(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1328915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 take away 47901?\nAnswer: -47949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + q)*(-1 + 2 + 4 + (3 + 2 - 6)*(4 - 2 + 1) - 4 + 5 + 3)*(6*q**2 - 3*q**2 - 2*q**2) as v*q + r*q**3 + j + f*q**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172251.\nAnswer: 3, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, q: 2, z: 2, b: 1}. What is prob of picking 1 q and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 42, -2\/3, 4, -2\/23, -12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -137341 (base 8) in base 3?\nAnswer: -2111000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -21*a**2 + 3*a - 3. Let p be f(-3). What is the common denominator of (-1595)\/(-150) + 2\/3 and p\/12 + (-2)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158648 + 86304451\/544. Calculate the common denominator of -137\/1632 and i.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + b - 78, 4*r - b + 152 = -145. Let p be -2 - -4 - 4*r. Suppose -2*s = -5*o + 3*o + p, o = -s - 153. Round s to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + (6 - (7 - 5)) - -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r + r)*(-r - 4 + 4) + 4*r**2 - 5*r**2 + 0*r**2 - 2*r**2 - 2*r**2 + 3*r**2 + (-45814 + 45814 - 208*r)*(-2 + 2 + 10*r).\nAnswer: -2084*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 1344758?\nAnswer: 1344753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b - 1938. Let c(s) = -5*s - 975. Give -5*c(t) + 2*y(t).\nAnswer: t + 999","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2, 3, 0, -7, -18?\n\"Answer: -2*f**2 + 7*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Let z(j) = j**2 - 8*j - 9. Let w be z(-1). Solve -o + v*o = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c. Let o(a) = -12*a - 1 + 1 - 14*a + 23*a. What is -4*m(z) + 11*o(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by 3.\nAnswer: -86\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from dcziiczl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.46. Let l = -63 + 63.125. Let j = l - k. Round j to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264173*s + 264172*s - 528346*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 3 + -15 + 19 - (1 - -4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(85)*-1)\/(sqrt(5)*-1*-6))**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3493 - 2512 = -916*f - 11843 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216761004.10000017 - 216761006. Let n = 4.4 - 2.5. Let v = q + n. What is v rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 2*c - c - 30 + 3*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of 0 - 42*m - m**2 - 1\/3*m**4 + 1\/2*m**3 + 1\/20*m**5. What is t(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/(-2*(-1)\/(-21)). List the prime factors of (v + -5)\/(1\/50).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + -5ab?\nAnswer: -5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.884809 and 0.87?\nAnswer: 10.754809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + 17*t - 2. Let w be n(5). Let g(a) = 2*a**3 - 5*a**2 - 4*a - 3. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3378553 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202103310 + 11?\nAnswer: -202103233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*3*(-4)\/4. Let l = y + 13. Let p be l - 3 - -2 - 699997. Round p to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6097826099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 - 30*p + 50. Let j be b(2). What is the highest common factor of 626 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let k be -38 + 2856\/392 - -29. Which is greater: k or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.6 + 8.6. What is the smallest value in -2\/7, -3\/172, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 times 0.14\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -9051?\nAnswer: -9051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408560?\nAnswer: 2, 5, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2245 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -68. Let w(g) = 7 + s*g**2 - 26 - 21 + g**2. What is the units digit of w(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -31) + -7 + -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:10 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-20) - 9*(-24)\/(-540))*-20. Solve -3*q = x*a - 6*a + 2, 24 = 4*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.007, -3\/4, -178691?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*v = -l - 134, 129 = 4*l + v. Suppose 0 = -l*x + 25*x + 144. Let q(a) = -24*a. Let c be q(-2). Calculate the highest common divisor of x and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11, -1, 0, 2.\nAnswer: -5, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1507*o - 6041. What is the thousands digit of x(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Let n be (-4)\/14 - 255\/(-35). Let r = n + o. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33350 - 1?\nAnswer: 33345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*s + 7*s - 70, s = 5*j - 4. Suppose p - b = -27 + 33, -5*p = 2*b + 5. Calculate the highest common factor of p and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 1, b: 1, l: 1, f: 2, a: 1}. Give prob of sequence ykf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - (-4)\/20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 + 5*d - 5. Let l(s) = 5*s**2 - 4*s + 4. Let a(o) = 4*j(o) + 5*l(o). Let t(h) = 43*h**2. Calculate t(a(i)).\nAnswer: 43*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056322515.\nAnswer: 3, 5, 7, 38631643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**3 + u**5 + 1 - u**3 - u - u**5 + u + (0*u**2 - u**2 + 2*u**2)*(u - u + 2*u**3).\nAnswer: 2*u**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -545 + 544. Which is the closest to l? (a) 8 (b) -5\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138.4 - 137.9. Sort 3, 1\/5, 0, c in ascending order.\nAnswer: 0, 1\/5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 372492 and 768.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*s - 202*s + 178*s - 72 - 143*s.\nAnswer: -s - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10122001 - 11?\nAnswer: 10121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2. Let g(h) be the third derivative of -h**7\/180 - h**4\/24 + 22*h**2. Let x(w) be the second derivative of g(w). Give d(x(r)).\nAnswer: 196*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1592 and 1282.\nAnswer: 1020472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 - (4 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 480640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 - 2*n**5 + 0*n**5 + (3*n**4 - 4*n**4 - 3*n**4)*(-2*n - 4*n + 5*n).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*t = -64, -4*t - 81 = -3*h + 95. Calculate the highest common factor of h and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7041717011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, 28, 3, -1 in increasing order.\nAnswer: -1, 3, 5, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -226*p**3 - 17*p**4 + 2 - 11*p**4 + 7*p**4 + 13*p**4 + 6*p**4 - 2*p - 2*p**2 in the form t + b*p**4 + c*p**3 + r*p**2 + l*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*354\/1770*(-6)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3 + 0*m**2 - m**2 + m + 7*m - 9*m. Let b(j) = 3*j**2 + 3*j - 10. Determine -2*b(c) - 7*k(c).\nAnswer: c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12134282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*g - 35 + 14 + 24 + (-6*g + 4*g + g)*(6 + 4 + 6) + g + g - 4*g to i + n*g and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, 154, 358, 644, 1012, 1462, 1994?\n\"Answer: 41*p**2 - p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5275592*g**2. Let l(j) = 6*j. What is l(m(r))?\nAnswer: 31653552*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 883 = 71*m - 395 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*q - 316, -3*m + 2*q + 479 = -2*q. Let r = -588 + 623. Let p = r - 4. Calculate the remainder when m is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -249 - -497\/2. What is the closest to 2 in o, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/4)*j*j**(2\/3)*j)\/(j**(-1\/3)*(j\/((j\/(j**(-3)\/j))\/j)*j)\/j))**3 assuming j is positive.\nAnswer: j**(93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 n, and 1 r when four letters picked without replacement from wnznzwnnnznrr.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1900)*-1)**2 - (sqrt(19) - (sqrt(133)*2 + sqrt(133))\/sqrt(7))).\nAnswer: 2*sqrt(19) + 1898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {r: 2, h: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1126971396 and -0.1.\nAnswer: -112697139.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**3\/4 + 59*l**2 + 771*l\/4 + 263\/2 = 0. Calculate l.\nAnswer: -2, -1, 263\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.6 (c) -14 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12698 - -12702. Let t = -4 - -2. Put t, w, -0.2, -1 in decreasing order.\nAnswer: w, -0.2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + (-12 - (72 - 19)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**4 - 2*i - 25 - 40 - i + 63 + 28*i**3 + 3*i**4 in the form a*i + h*i**3 + x*i**2 + d*i**4 + w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*z - 2*z - 17, -2*c - 5*z + 43 = 0. Let u = 18 - c. Let j(k) = -4*k**2 + k + 1. Give j(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 - 1. Let y be u(4). Let p(t) = -4*t + 950 + 6*t**3 - 953 + t. Let c = 9 - 12. Let w(s) = -s**3 + s + 1. Give c*w(i) + y*p(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 10) + 2 - -2 - (1 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 11 + (1 - 8) + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -386 - -914. Which is bigger: 529 or a?\nAnswer: 529","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7197 (base 10) to base 15.\nAnswer: -21ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.1. Let q = -4505.1 - -4505. Let x = 14.1 + -14.6. What is the nearest to u in x, q, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4907872?\nAnswer: 2, 153371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*i**2 + i + 17258 - 267*i**2 - i - 17240.\nAnswer: -i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 531804298 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 47089886 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 2 = -a. Let h(d) = -d**2 - 9*d + 1. Let v be h(a). Suppose 4*w - 3*z = 143, 0 = 3*w - 3*z - 90 - v. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22722.4434 to the nearest integer.\nAnswer: 22722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 207*t**3 - 12404*t**2 + 35748*t - 23552 = 0. What is t?\nAnswer: -256, 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 303127179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 19*r**2 - 60*r - 244. Give q(-19).\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573 plus -4.452939?\nAnswer: 2568.547061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*j + 4*j + 5430. Suppose -16 = -w - 3*w, j = i + 2*w. Is i a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 5*v + 2. Let q be f(-5). Let c(k) = 5*k**2 + k**3 - 4 + q*k - 6*k + 0*k**3. Let p be c(-5). Solve 0 = -l - 5*z - 2, -4*l + p = -3*z + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 5997413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 - (3 - 6)) + (13 - -12 - 56) + 19?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n - 7. Calculate d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 148*o - 1494. What is the least common multiple of 225 and w(-29)?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + c**2 - c**2. Let k(h) = 7*h**2. Determine k(a(n)).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = o + 1, -2*o - 5*l - 12 - 10 = 0. Let r = o - -32. Let u = 238 + -117. Calculate the highest common factor of r and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -6)*2\/(-4). Let c(g) = -g**2 + g - 6. Give c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 15*t**2 + 2. Let u be i(-15). Let r(p) = -p**3 - p**2 + 2*p - 1. Give r(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, -0.94, 0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.544 from 15.149968.\nAnswer: 14.605968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146335462 a multiple of 2989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4968.704 milligrams?\nAnswer: 4.968704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*x - x = 25, r - 2*x + 13 = 0. Let n = 63 + -66. Sort 5, r, n.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82999165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104661 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 541725.68.\nAnswer: -541735.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22867 is divided by 9844.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.5 + -39. Let t = v + 3.8. What is the second biggest value in 1\/2, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 1)*(-2*v**4 - 3*v**4 + 4*v**4)*(-63 - 34 - 203) in the form d + g*v + j*v**2 + r*v**4 + z*v**3 and give r.\nAnswer: 1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1978560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3)*(-3*s + 3*s + 2*s**2) + 14667*s**2 - 176*s + 13542*s**2 + 176*s in the form a + f*s**2 + t*s and give f.\nAnswer: 28203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4359*g**2 + 19 + 4 + 25 + 4322*g**2 + 0 to h + v*g + r*g**2 and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20302222 (base 4) in base 8?\nAnswer: -106252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92367\/49 - -1885. Suppose -o + 4*b + 14 = -0*o, 5*o + 5*b = -30. Let u = 1 + o. Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a week in hours?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 10:33 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000520507 rounded to 6 decimal places?\nAnswer: 0.000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004202 rounded to six decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-615)\/10)\/(1\/(-2)). Let b be q\/441 - (-2)\/6. Let k = 9\/49 - b. Put 0, k, 4\/7 in ascending order.\nAnswer: k, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 712742000 = 9*d. Round d to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100249*a**3 - 2200495*a**3 + 1100244*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 203477.7 tonnes?\nAnswer: 203477700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16334 + 724136 = 3*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(228)\/sqrt(300) + sqrt(19))**2 + sqrt(57)\/(6*sqrt(12)\/sqrt(4)).\nAnswer: sqrt(19)\/6 + 759\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -294*q**3 + 17*q**2 - 297*q**3 - 300*q**3 - 2 + 890*q**3 - 32*q to n*q**2 + j*q**3 + c + g*q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -159*p - 154*p + 2*p**2 + 313*p. Let z(x) = 447*x. Calculate z(v(h)).\nAnswer: 894*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10685 divided by -4.\nAnswer: -10685\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2853 plus -63.455?\nAnswer: -63.7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -950 smaller than -870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 + 3*c - 5. Let u = -5 + 12. Let g be s(u). Let w(o) = o**2 - o + 16. Let h be w(0). Calculate the highest common divisor of h and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 2*x - 20, -5*x = -5*z - 30. Suppose 0 = -5*t - 27 - 3. Calculate the remainder when 41 is divided by ((-21)\/(-2))\/(t\/z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - w + 3*w + (-3 - 1 + 2)*(0*w - 3*w + 8*w))*(3*w - 5*w + 3*w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -575607\/125 - -4605. Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121, -0.3, 0.583?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 10*f. Let x be j(10). Let s = -0.027 - -0.627. Let d = 4.6 - s. What is the second biggest value in d, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 6:45 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*z - 13 - 5*z**2 + 12 - 53*z + z**2.\nAnswer: -4*z**2 - 150*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -924 - 278. What is the remainder when ((-28)\/6)\/(8 - t\/150) is divided by 89?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.206002795 - -0.206. Round n to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**3 + 2611515*h**2 + 2611510*h = 0.\nAnswer: -522302, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1650, 1627, 1604, 1581, 1558?\n\"Answer: -23*r + 1673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 2. Let a be 3 + (-2)\/((-2)\/(-9)). Calculate t(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:06 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(3 + j - 3) - 1 + 4*j + 1)*(0 + 2 - 3)*(-j + j + j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2 + 177*j + 59.\nAnswer: 2*j + 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9764)\/476 - (-4)\/7) + 6*11\/(-1122)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-324))\/(-7*(-50)\/420).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41078.\nAnswer: 2, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4504)\/(-7) - (-20)\/35. Let c be f\/6 - 1 - 8\/6. Suppose 8*t + c = -7*t. Let m(z) = 2*z. Determine m(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 20632.\nAnswer: -1\/10316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -7561730 and -68055574\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 246. Let h be i(21). Let n be 585\/h - 2 - (-36)\/(-306). Put 0.6, n, 0.1 in ascending order.\nAnswer: 0.1, 0.6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*o + 3*u - 81, 0 = 2*u - 10. Let h = 42 + o. What is the hundreds digit of (-924)\/(-9) - (-1)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) -1 (b) -2\/3 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -872924799.443 + 2\nAnswer: -872924797.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**4 - 4*c**4 + 13*c**4)*(-1 + 1 - 4*c) + c**5 - c**5 - 5*c**5.\nAnswer: -41*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-53)\/((-2226)\/36))\/(20\/28).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 1 = 6731*k - 6732*k, 0 = 5*k - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/49 and 38\/3?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**17*f)**(-5\/4)\/(f**(-1\/8)*f\/(f*(f*f\/(f\/((f\/(f\/(f**(2\/7)\/f))*f)\/f))*f)\/f)) assuming f is positive.\nAnswer: f**(-1307\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffx when three letters picked without replacement from {x: 3, i: 10, z: 3, f: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 5*a**2 + 4*a + 1. Let x be y(3). Suppose -9 = -r - 5*t, 2*r + 0*t + 4*t = 12. Let j = 13.5 - 13. Sort x, j, r in descending order.\nAnswer: r, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 18) + 2 + 2 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-18)\/8)\/((-135)\/(-48)). Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Suppose -w + a*s + 33 = 0, -116 = -4*w - 2*s - 26. Suppose -40 = -4*n + w. Solve 0*z - 4*z + n = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.04 (c) -23 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m - 9\/4*m**4 - 55\/3*m**3 + 184*m**2 + 0. What is the first derivative of f(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-403)\/(-4030)*(-10)\/(-16)*(-4)\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -10. Let c = -1 + h. Suppose 4*a - 2*y = 50, 55 = c*a + a + 2*y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**(-2\/37))**(11\/2) assuming t is positive.\nAnswer: t**(-418\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i + 9*i + 8*i + 5*i + i + 5*i + (-2 - 1 + 5)*(-4*i + 5*i + 2*i) to the form t*i + p and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 22, 1, 5.\nAnswer: 1, 5, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29, 50, 71, 80, 65?\n\"Answer: -2*x**3 + 12*x**2 - x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 13*h**2 - 10*h + 9. Suppose 8*v - 9 = -v. Calculate the least common multiple of n(v) and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -25.3. Let g = t - -4.7. What is the second smallest value in g, 1\/4, -0.5, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0408 - -51.7592. Let r = w + -62. Round r to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-7 + 8 + 4)*(-r**3 + r - r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 equal to 2443\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) 4 (d) -28.7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 33\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 14 = -2*m, 3*m + 4 = 3*b - 8*b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 780 = 7*o + 871 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqwqjdwj. What is prob of sequence qjj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 59077 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-968)\/99 + 2\/(-9). Let b be (1 + 2\/v)\/((-4)\/(-20)). Solve -4*w + 4 = -2*x, -3*x + 6 = b*w - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 6, l: 2, q: 4}. What is prob of picking 1 q and 1 g?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3415 = 734*x + 5696 + 7261 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -81. Let s = -362\/9 - -40. What is the nearest to s in c, -0.2, 1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 941290289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-123344)\/32)\/(-4 + 35\/10)?\nAnswer: 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -334*i**3 + 13*i**2 - 40*i - 509. Is q(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -21*p + 22*p. Let s be (-11)\/15 - p\/(-5). Which is the nearest to 3? (a) -1\/4 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -30. Let b = x - -21. Let n be 8200\/((1 - 2)\/b). Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -402, -4, 12, 2.\nAnswer: -402, -4, -3, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*r - 18199*k**3*r - 23*k**3 + 4*k**2*r + 2*k**2 + 2*k*r + 9235*k + 2 wrt k.\nAnswer: -24*k*r - 109194*r - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - 3*b + b + 0*b to q + u*b and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20064)\/798*(-112)\/88?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 5 + (-4)\/(-2)*-3. Let m(d) = d**3 + 8*d**2 + 2*d - 35. Let a be m(b). Solve a = -2*q - 2 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n + 2. Let r = -124 - -151. Let k = r - 29. What is y(k)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179401.883 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5172 or 2?\nAnswer: -5172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6384 + 14\/4*2.\nAnswer: 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254040 * -157\nAnswer: 39884280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73778, 147536, 221272, 294986?\n\"Answer: -11*x**2 + 73791*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -590. What are the prime factors of n?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, -0.3, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1227019, 2453873, 3680563, 4907089?\n\"Answer: -82*m**2 + 1227100*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27 + 26)*(0 - 22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13117, 13016, 12847, 12610?\n\"Answer: -34*d**2 + d + 13150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 + 95. Suppose 0 = -9*u + 4*u + d. Solve -u*b = -7*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-24\/7)*u**12*u\/u**(1\/24) assuming u is positive.\nAnswer: u**(2753\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -34*a + 19625. Calculate the greatest common divisor of a and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -963*-0.089.\nAnswer: 85.707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s**3 + 5675*s**2 - 5675*s**2.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/7 - -6\/35. What is the second biggest value in -5\/2, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 90 = -6*l. What is the highest common factor of l and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/11)\/(-13)*(-11)\/11?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + 0.3. Let q = f + -0.1. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*r + 1580 = 561*r. Suppose 0 = -2*j + 15 - 3. Solve 2*c - 3 = p - j, r*c + p + 4 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3 + p + 16248*p**2 - 1 - 153*p**3 - 16245*p**2 + 1 to the form g*p + s + n*p**3 + k*p**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + -1 - -8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 3*b + 6, 0 = 5*a - b + 21. Suppose -5*y + 0*y - 3*v - 1 = 0, -4*v - 6 = 2*y. Put y, a, -4 in descending order.\nAnswer: y, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 + 2*z + 2. Let r(w) = w**2 + w. Give -n(o) + r(o).\nAnswer: -3*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5130665*q**2 - 4216735*q?\nAnswer: -10261330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 22. Let j = -33319 - -33324. What is the closest to 0.1 in j, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2355545 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1038 divided by -6\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/35)\/4*-1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 5*o - 2. Let l be x(6). Let v(c) = c**3 - 2*c**2 - 2*c + 1. Is 16 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217603277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - 3*z - 1. Let b(r) = 1. Let o(y) = -2*b(y) - p(y). What is o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2570, 2899, 3214, 3509, 3778, 4015, 4214, 4369?\nAnswer: 4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:20 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/6 - (2939992 - -5). Round c to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence issj when four letters picked without replacement from ijssissississii?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 2*t - 46. Let u be x(-6). Let v(y) be the second derivative of 0 + 0*y**3 + 2*y**u + 12*y + 0*y**4 + 1\/10*y**5. Differentiate v(g) wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193892*c**4 - 46845?\nAnswer: 775568*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 146*w + 156. Let g be f(31). Suppose -i - 481 + 1423 = 5*c, g = 5*i - 3*c. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -351819, -351687, -351555, -351423, -351291?\n\"Answer: 132*d - 351951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(78) - sqrt(78)*1)*2)\/(sqrt(216) + (sqrt(216) - (-6*sqrt(216)*-1 + sqrt(216)) - sqrt(216)) + sqrt(216)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55297176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 15*x**2 + 19*x - 30. Suppose -4*q - 69 = 5*c, -q = 3*c + 2*q + 39. Is r(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - u + 0*u)*(0 - 1 + 2) + 0*u + 5*u - 2*u + (-38 - 28*u + 38)*(-15 + 33 + 82) to the form l + o*u and give o.\nAnswer: -2795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -924*u**3 - 763*u**3 - u - 53 + 0*u + 53 as d*u**3 + b*u + t*u**2 + o and give d.\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-3*(-4)\/138). Let y = w + -27. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 1\/3*m**3 + 0*m**2 + 0*m + 22. Let v(o) = -3*o**2. Determine v(f(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544075823?\nAnswer: 31, 1163, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 15. Let w be -4 - 9207\/220*(-2)\/21. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 4977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*n + 29*n + 88 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*z**4 - 170*z**2 - 1 + 4*z - 67*z**4 - 21*z**4 - 4*z in the form w + u*z**4 + x*z**2 + p*z**3 + s*z and give x.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose 2*r = q*t - 18, t = 2*t - 4*r - 18. Let k(o) = -o**2 + 6*o - 1. Let a be k(4). Solve -b = t*n + a, 4*n + 17 = -0*b + b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 493.9 + -497.9. What is the nearest to d in 2, 230, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 + 67. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 - d**4\/3 - d**3\/6 - 3*d**2. Let k be v(7). What is the common denominator of 154\/k - (-3)\/(-6) and 71\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m + 16. Calculate the remainder when z(7) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(360\/56)*(-2)\/(-14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39426 divided by 6571.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**4\/12 + x**3\/3 + 7*x**2 - 135*x. Let t(q) = -11*q**2 + 3*q + 30. Let b(c) = -9*s(c) + 4*t(c). Calculate b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = v - 13, -2*a - v + 3*v + 46 = 0. Calculate the least common multiple of 10 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 858?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let q(p) = 4*p + 20 + 11 - 26. Let h be (-2)\/3 - 35\/(-21). Determine h*q(r) + 3*u(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183.3 + -183. What is the second smallest value in f, 0.2, -0.06, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -19\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/(((-2)\/(-7567))\/(9\/63)).\nAnswer: 2, 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45442515 to the power of 1\/2, to the nearest integer?\nAnswer: 6741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 469.5 + -295. What is g rounded to zero decimal places?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19419.85 millennia to years.\nAnswer: 19419850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let p(z) = 483 + 196*z**2 - 483 + 3044*z**2. Give p(r(q)).\nAnswer: 3240*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 19. Let x = l + 16. Solve 0*d + d + 3*h = 13, -d = -5*h + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.516 - 13154.602\nAnswer: -13154.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (0 - (15 - -1))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3aa + 146?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/18 + 4\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354521274?\nAnswer: 2, 3, 13, 14335561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-14)\/8)*37\/(777\/(-420))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-10))\/(1\/35). What is the first derivative of i*k**4 - 2 + 7*k**4 - k**4 - 2*k**4 wrt k?\nAnswer: 72*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 119. Does 9 divide -1 + f\/(0 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 + 3*j. Let v(z) = -4*z + 22. Let u = 102 - 103. Let h be (u\/3)\/((-2)\/6)*5. Let o be v(h). Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -5, -57300, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -206.62 (b) 1\/5 (c) -3 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -5*d - 3*i - 6, -i = 0. Solve 3 = d*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(84\/(-18)))\/(16\/(-96)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105148995 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 50*d - 129 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39039 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {n: 1, v: 1, w: 1, t: 1, u: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 895, 1799, 2709, 3631, 4571, 5535?\n\"Answer: a**3 - 3*a**2 + 906*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38332 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 - 1)*(-2*g**2 + 0*g**2 + g**2) + 4970*g**3 + 648*g**3 - g + g.\nAnswer: 5619*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}