diff --git "a/data/dm_maths/full_data_2/1170_11255.jsonl" "b/data/dm_maths/full_data_2/1170_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1170_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is next in -132, -639, -1512, -2757, -4380, -6387?\nAnswer: -8784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 14168 and -2.\nAnswer: 14166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5937417ug to nanograms.\nAnswer: 593.7417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*2)\/sqrt(7) - (sqrt(272)*4)**2.\nAnswer: -4352 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106302255 - 5?\nAnswer: -106302263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -8\/3*n**3 + 8*n**2 - 1\/3*n**4 + 0 - 19*n + 1\/5*n**5. Factor h(q).\nAnswer: 4*(q - 2)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*6\/(-126)*-7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38324401*b + 43867088?\nAnswer: 38324401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 1678*r - 14 + 3 + 333*r in the form x + j*r and give j.\nAnswer: -1345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, m: 6}. What is prob of picking 1 m and 2 q?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3191 + -3191.4. Which is the second biggest value? (a) 2 (b) o (c) -1\/34 (d) 2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2\/2 - 16*b - 3. Let i be k(13). Are -3 and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + 9 - 276\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6667136661?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/(sqrt(36) - sqrt(9)) - (0 + sqrt(5))*2) + 5 + -2*sqrt(125)*4 + 4)**2.\nAnswer: -738*sqrt(5) + 8486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0775 and -11?\nAnswer: 0.8525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -15*i**3 + 2*i**2 - i. Let q be y(1). Let s = q + 37. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + 24 + -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -2*r + 42, -5*r - 2*g + 69 = 0. Let d be (6\/r)\/((-2)\/(-40)). Suppose 2*w - 2*o - d = 2*o, o + 5 = 2*w. Solve -w*v + 4 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -22*s - 146. Let z(w) = -w**3 - 7*w**2 - 5*w + 8. Let k be z(-6). What is the least common multiple of t(-7) and -2 + k + (0 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494080754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 28. Suppose 43 + 20 = 3*i + 2*g, 42 = 2*i + 2*g. Let r = i - h. What is the remainder when r is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5 + 48*b**4 + 12*b**3 - 136*b**2 - 96*b = 0. Calculate b.\nAnswer: -1, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3928b (base 12) in base 2?\nAnswer: -10011000101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + (-6 - (37 - (11 + -3))).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3\/7 + 135836*k**2\/7 - 135824*k\/7 - 271664\/7 = 0. What is k?\nAnswer: -1, 2, 33958","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 18.1. Let s be -3*(-1 - (-25)\/21). What is the nearest to -2 in j, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.951 + 0.049. Let a = o - 16.704. Let g = a - 0.567. Round g to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 + 4*i**2 - 3*i + 2. Let l(b) = -7*b**3 - 9*b**2 + 7*b - 4. Let x(y) = -2*l(y) - 5*t(y). Calculate x(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a12 (base 14) to base 8.\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -11 (c) 0.02 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 42600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4336*d - 1409604. What is z(354)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -643, 0.3 in ascending order.\nAnswer: -643, 0.3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + -18)\/9 + 2. Which is greater: -47 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1760632 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (49 - 217) + -5 + 1 - 7. Sort 0, d, -5, -2 in increasing order.\nAnswer: d, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(63) + sqrt(63))*3)\/sqrt(9).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + sqrt(2448) + 0 + ((sqrt(102)*-2)\/sqrt(6))**2 + sqrt(204)\/((sqrt(12)*3 - sqrt(12))*3) + 4.\nAnswer: 72 + 145*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {n: 1, q: 2, u: 3, l: 1, r: 3, w: 8}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/389160 and 29\/7567?\nAnswer: 2724120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m. Let g(j) = -j + 319. Let p be g(9). Suppose -9 = -3*u - m, -2*x + 4*u + p = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -102*i**4 - 147*i**2 - 3*i - 3. Let l(t) = 102*t**4 + 146*t**2 + 2*t + 2. Let x(b) = -3*l(b) - 2*m(b). Find the third derivative of x(u) wrt u.\nAnswer: -2448*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10181*r - 50907. Calculate q(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2273, -2073, -1729, -1229, -561, 287, 1327, 2571?\nAnswer: 4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (11 - 30) + 10 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.783215\nAnswer: -0.156643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 16) to base 3\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus -32.422485?\nAnswer: 32.442485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*q - 30*q + 315 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and 33\/83546?\nAnswer: 751914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-55) - ((-106641)\/99 - -7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 682*h**2 - h - 1. Let d be f(-1). Suppose 4*t = 3*p + 1516, -98 = -2*t - 4*p + d. Suppose -c - c = -t. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 2. Calculate c(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6337887 divided by -2112629.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -1202.\nAnswer: -11\/1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*t + 2752 - 863, 2*t - 2*s - 1278 = 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 62 = x. Let b(z) = 14*z**3 - z**2 - z + 1. Let w be 3\/(-7) + 180\/126. Calculate the remainder when x is divided by b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d - 2. Suppose 0*g - 4*r + 26 = 2*g, 0 = -3*g + 5*r - 16. Suppose 0 = -v + g - 23. Let m = v - -23. Determine a(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1434, 1436, 1438, 1440?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 352 * -77.5\nAnswer: -27280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 41*n - 17. Let o(s) = -21*s + 8. Let k(i) = 5*o(i) + 2*r(i). Let g be k(-5). What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -223*s - 23. Let b(o) = -222*o - 24. Let f(x) = 4*b(x) - 3*y(x). List the prime factors of f(-2).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 368400 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 140*n + 128*n - 1.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 674548 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 10 (c) 12 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -97, -136, -191, -268, -373, -512, -691?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -582*g + 576*g + 1218. Calculate the remainder when g is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 80 = -7*n. Suppose -10*r + n = -5*r. Suppose r*a + 318 = 10*a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p\/p**2)\/p)*p)**(-8\/13)*p**(5\/3)*p**0)\/((p*p\/p**(-3)*p)\/p**(-5)*(p**(-1))**(-3\/14)) assuming p is positive.\nAnswer: p**(-6893\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -65*r**2. Let v(g) = 19*g**2. Give v(b(z)).\nAnswer: 80275*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 38\/5 + (-2)\/(-5). Let l be (-4)\/(-10) - p\/(-5). Let w(t) be the third derivative of -t**5\/60 + t**4\/24 + t**3\/3 + 3*t**2 - 10*t. Give w(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13361.464 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*u - 12, i + u + 5 = 8. Solve -z + 3 = -s - i*s, 3*s + 4*z = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*d = -2, -5*o + 4*d = -o - 4. Suppose 5*x + o = -8. Let b = 2 + x. Solve -3 + b = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m = 20*m + 3*m - 204. Let k(o) = -o**2 - 4*o + 10. What is k(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1368 + -1241. Solve -25*q - 52 + n = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 202 = -5*l, -m - 201 = 2*l - 7*l. Suppose -w = 4*z - l, 6*w - w - 40 = -4*z. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1429177 divided by 5561.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + 113 + (0 - -27).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11380.053 months in years?\nAnswer: 948.33775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-1 + 0 + -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-21)*63\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 4*m + 35. Give a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*r - 71 - 67, 0 = 4*s - 5*r - 131. Sort 0, -50, s, -5 in decreasing order.\nAnswer: s, 0, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 36.535428 minutes?\nAnswer: 0.025371825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/13 + -2 + (-306)\/(-208). Let l = 11 - 15. What is the nearest to 1 in l, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-17 - (-14 + 5)) + -2 - (-16 - -38).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -4b?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 8:18 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120937*n + 7 - 1 + 101759*n.\nAnswer: 222696*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 39, 46, 35, 0, -65, -166?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2139\/2 - 1065. Let g(n) be the second derivative of 1\/6*n**6 + 0 + m*n**2 + 0*n**5 + 0*n**3 - 11*n + 0*n**4. Differentiate g(y) wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1896, 4590, 8082, 12372, 17460?\nAnswer: 23346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -317, -594, -869, -1142, -1413, -1682?\n\"Answer: r**2 - 280*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -13*b - 49. Let v be s(-9). Let f = v + -64. Suppose -g - 2*g + a + 7 = 0, -f*g - 12 = 4*a. Let q(r) = 12*r**3 - 1. Determine q(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 18406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 144, 8, 189 in decreasing order.\nAnswer: 189, 144, 75, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 2498242593 + 2498242594 + 3*p.\nAnswer: 12*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 76 + 20. Let x = 39 - a. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + -1 - (-1109 + 1109).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33178 is divided by 33120.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 31*s = -32 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*v**2 + 53*v - 2 - 50*v + (3*v - 6*v + 4*v)*(-2*v - 2*v + 3*v).\nAnswer: v**2 + 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -156469?\nAnswer: -156473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -14. Suppose 6*a - d*a + 14 = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyclx. Give prob of picking 1 c, 1 x, and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 33100?\nAnswer: -32302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 + -0.2. Let z = d + -3.44. Let j = z - 3.76. Which is the third biggest value? (a) -4\/3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (113 - 112) + (1342 - (2 + -1)) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.376517 millilitres in litres?\nAnswer: 0.006376517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 178*s**2 + 3636*s - 696. Give m(-57).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1c360 (base 13) to base 10\nAnswer: 55510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282468 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.01 and -1.4457.\nAnswer: 1.460157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -386 (base 12) to base 3\nAnswer: -201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 2*f - 2*f)*(2*f**2 + 2 + 7*f - 2) + (f + 7*f - 9*f)*(f**2 + 3 - 3) - 5*f + 8*f**3 + 5*f to the form h*f + o*f**3 + v + y*f**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*sqrt(4032) - (sqrt(4032) - (1 + (-1*sqrt(4032) - sqrt(4032)) - sqrt(4032))**2).\nAnswer: -288*sqrt(7) + 36289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/60)\/(((-96)\/(-180))\/((-3)\/(-15)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67e00 (base 15) in base 2?\nAnswer: 1010000101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let o(i) = 8*i**2 + i + 2*i - 3*i. Give s(o(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1638 + 1852. What is the remainder when z is divided by 85?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -9*v + 692. Differentiate -106 + 898*b**3 - v*b**4 - 446*b**3 - 452*b**3 with respect to b.\nAnswer: -188*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2219555 + 0.222. Round w to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 2. Factor -i*s + 3*s**3 + 0*s**3 - 4*s + 5*s.\nAnswer: 3*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-2 + 5 - 1)*(4 + 2 - 24)*(-o + 2*o - 3*o).\nAnswer: 216*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 134*v**4 + 2*v**3 + 73*v - 41973 wrt v?\nAnswer: 536*v**3 + 6*v**2 + 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*l + 2. Let s be (3 - l) + (7 - 5). Calculate the greatest common factor of s and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, -4254, -4 in ascending order.\nAnswer: -4254, -308, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 8*z - 15. Let t be ((-38)\/(-6))\/1 + 1. Factor -32\/3*d**2 + t*d - 4\/3 + 14\/3*d**z.\nAnswer: 2*(d - 1)**2*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.75412l to millilitres.\nAnswer: 88754.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2255 (c) -1\/57 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1.9 (c) 5\/4 (d) -2\/7 (e) -3 (f) -0.187\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 1193313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87481 or 892?\nAnswer: 892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o = 0. Is (-737)\/(-11) - o\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5200217 + 1.52. Round s to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207405 (base 8) in base 7?\nAnswer: 406164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346939.\nAnswer: 3, 7, 37253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 325887223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p - 12*p + 15*p - 13 - 8 - 21*p to y + m*p and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -461 + 1020. What is the greatest common divisor of 86 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1455*h**2 - 27*h + 4. Let t(y) = 731*y**2 - 12*y + 2. Determine 9*t(k) - 4*x(k).\nAnswer: 759*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*x + 3*u, -3*u = -7*u + 16. Suppose j + 5*o = -54 + 180, -j + 118 = x*o. List the prime factors of j.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295703?\nAnswer: 295703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/2)\/((-218)\/(-436)))\/(3\/(-31) - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 6*m - 2*m)*(1 - 2 + 2).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5*z + 4. Let c be j(4). Suppose c = 6*q - 5*q. Let x be 2 - (-4 + q)\/4. Solve -b + 4*b = x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 7 = -4*d. Put d, -3, -19, 3 in descending order.\nAnswer: 3, d, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-219)\/(-730))\/((-2)\/10).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 346\/14 - 2*4\/(-28). Solve -10 - o = -7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 15. Calculate x(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*j - 176. Let o = 53 + -31. Calculate the greatest common divisor of j and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 282328203*g**2 + 15075354*g + 201243.\nAnswer: 3*(9701*g + 259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226363 equal to 226362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2*h = -88. Let r(y) = 22*y + 2*y**2 - h*y. Let m(v) = 9*v**2. Calculate m(r(w)).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1976\/(-171) - 4\/9. Let n(o) = 2*o + 19. Give n(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p - 3*h, -6*h = -5*p - 11*h - 40. Let c be (-2)\/5 - (p - 306\/(-90)). Factor -1\/5*r + 1\/5*r**3 - 1\/5*r**2 + c.\nAnswer: (r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1829*y + 1069. What is the ten thousands digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5895, 5865, 5835, 5805, 5775, 5745?\nAnswer: 5715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)\/c)\/c**(-29)*(c**(2\/27))**(-48) assuming c is positive.\nAnswer: c**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 + 2.66. Let f = 0 - -0.1. Which is the closest to f? (a) k (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -24, 3, -2681.\nAnswer: -2681, -24, -3, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34.6, 101, -2, -1\/4, -0.34, 0.3, 1\/12?\nAnswer: -34.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482, -514, -586, -710, -898?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((-9 - 0) + (-9 - -29)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v - 12. Let c = v + 3. Does 23 divide (4 + c)\/3 + 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9878 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.05, -3\/46 in ascending order.\nAnswer: -14, -3\/46, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/758277863?\nAnswer: -3\/758277863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 6*b + 4. Let m be 301\/63 - 2\/(-9). Let a be c(m). List the prime factors of (6\/a)\/((-6)\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(4320) - 2*sqrt(120))\/(sqrt(1210) + sqrt(1210) + 4*(sqrt(1210) + (sqrt(1210) - sqrt(1210)*1)) - -1*sqrt(1210)*3))**2.\nAnswer: 1024\/3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 2, t: 5, i: 2}. What is prob of picking 1 o and 2 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 + t**2 + t**2)*(-17 - 153 + 170 + 1658*t**2) to the form n*t**2 + m*t**4 + l*t + i*t**3 + k and give m.\nAnswer: -3316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -630*c - 10706. Let n be j(-17). Let p be 2 - (1 - 3)\/2. Solve -2*v - p - 3 = n*a, -a = -3*v - 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73722894 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 465958617 a multiple of 317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1728)*2 + sqrt(1728)))\/(sqrt(196) + (sqrt(196)*1 - sqrt(196)) + sqrt(196) + 2*(sqrt(64) + sqrt(4))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 22*s**3 - 7*s. Let f(t) = 11*t**3 - 4*t. What is -5*f(q) + 3*o(q)?\nAnswer: 11*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 268802176.\nAnswer: 1881615232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19935 - 19919. Sort -10, -14, s.\nAnswer: -14, -10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 7) in base 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -w**4 + 22 + 17 + 13*w - 39 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1235.07 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -63. Let z(y) = -6*y + 34. Let a be z(-6). Let o = a - 37. Solve -5*p - h*b - o = 0, 3*p + 4*b + b = -35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 17914?\nAnswer: 179140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**4 - 3*r**3 - 2*r**2 - 2*r. Let j(b) = 36*b**4 + 21*b**3 + 15*b**2 + 15*b. Let i(m) = -2*j(m) - 15*o(m). Solve i(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 24017781.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.73 - -0.43. Put 17, -5, z in ascending order.\nAnswer: -5, z, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 454*i + 29 - 989*i)*(3*i**2 - 3*i**2 + 3*i**2).\nAnswer: -4329*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k - 8. Let y(z) = z**3 + 8*z**2 - 11*z - 1. What is the tens digit of y(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = n - 28*b + 18, -12 = 3*n + 4*b. Let u(s) = -s. Let z(d) be the third derivative of -d**4\/4 - d**2. Determine n*u(i) + z(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 + n + 2. Let g be k(3). Let o = 8 + g. Let c = -16 - o. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -2.1000096. Round j to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*((sqrt(104) - (sqrt(104) - sqrt(104)*-1)) + sqrt(104) + sqrt(104)))\/(sqrt(56)\/(-2*sqrt(7)) - (sqrt(392) + -1*sqrt(392) - sqrt(392))).\nAnswer: -20*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 285718, 1142856, 2571420, 4571410, 7142826, 10285668, 13999936?\n\"Answer: 285713*q**2 - q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3922 + 3897. Which is the smallest value? (a) -12 (b) -3 (c) r (d) -2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.07 (b) -2\/3 (c) -94610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 396*g + 769. Let k be w(-2). Is -0.08 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5012756?\nAnswer: 2, 7, 17, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3003*q**3 + 3*q**2 - 1028*q + 46199025?\nAnswer: 9009*q**2 + 6*q - 1028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-18) + ((-550)\/45 - -12). Suppose -4*u + u + 48 = 0. What is the third derivative of -85*l**3 + 85*l**m - u*l**2 + 5*l**6 + l**6 wrt l?\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22756*g + 22620*g + 22616*g - 68011*g.\nAnswer: -19*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 + 184 = 27*y - 226. Solve y*f + 32 - 116 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.084 * 4.8.\nAnswer: -0.4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72616.9999953391 + -72617. Round x to 7 dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15239963*m**3*y + m**3 - m**2*y + y - 22205448 wrt y?\nAnswer: -15239963*m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 + -9)*(-262)\/(-4). Let j = f - 87. Let a be ((-16)\/12)\/1 - j\/(-6). Solve n + a = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 478264 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3. Let t(z) = 9*z - 3. Let k be t(1). Let r be l(k). List the prime factors of r\/(-90) - 2682\/(-20).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b + 7*b - 16*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*y - c, 5*y = 2*c - 6*c + 75. What is the common denominator of y and 67\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 + u**4*y - u**3*y**2 + 8*u**2 - y**2 wrt u?\nAnswer: 120*u**3 + 24*u*y - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8975?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -2260, -7488, -17630, -34324, -59208?\nAnswer: -93920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1543 + -2?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2206*t**3 + 141*t**2 - 24*t + 5. Let q(r) = -3309*r**3 + 211*r**2 - 35*r + 7. Let l(z) = -5*q(z) + 7*x(z). Find the third derivative of l(w) wrt w.\nAnswer: 6618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times -13.47?\nAnswer: 336.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 9. Let s be ((-500)\/x)\/((-2)\/(-4)). Let y = -70 - s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13925 is divided by 208?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 17527?\nAnswer: 17527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10907062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*q = 12, 33*p - 28*p = -13*q - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a. Let w be b(-3). Let s(r) = -r**3 - 6*r**2 - r - 4. Let i be s(w). Let j be 23 + 6\/3 + -3. What is the highest common divisor of j and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 10*q**4\/3 + 9*q**3\/2 + 11*q**2. Is m(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -472*s + 2845. Determine p(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 11. Let f be (-2)\/4*(-2 + a). What is the remainder when 69 + -9 + f\/(-1) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 8*z - 4. Calculate the remainder when s(5) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 1. Let j(l) = -2*l - 3. Determine 4*j(c) - 7*r(c).\nAnswer: -c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30145403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -276\/7 - -1111\/28. What is the third smallest value in p, 5\/3, -1\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34568, -34570, -34572?\n\"Answer: -2*b - 34566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -2 - 13\/6*c**4 + 0*c**2 + 64*c + 0*c**3. Let l(v) = -7*v. Give f(l(s)).\nAnswer: -1274*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iip when three letters picked without replacement from {k: 1, p: 1, y: 1, i: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51, -58, -69, -84, -103, -126?\n\"Answer: -2*b**2 - b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -34. Let o = f + 8. Let u = -22 + o. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, -1.2, -3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 17. Let u(c) = 2*c**3 - 2*c**2 + 1. Let y be u(-1). Let o be a(y). Solve -5*l - 4*x = 4, 2*l + 5 = -o*x - 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 48*h + 16*h - 9098 = -5450 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.3. Is 2 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r - 1. Let q be k(4). Let p = -12 + q. Let a = -21 - -45. Calculate the highest common divisor of p and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/9)*c*(c\/(c**(-3\/7)*c)*c)\/c*c*c*c assuming c is positive.\nAnswer: c**(293\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4352 and 97920?\nAnswer: 195840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u + 80. Let i be k(-26). Suppose 3*j - 6*j - 3*d + 216 = 0, -3*j = 5*d - i. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - 8\/3. Let c = 7 + v. What is the second derivative of 4*r**5 + 2*r - c*r + 3*r wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 8659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316421 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 11 - 52 - 2*n**3 + 54 to l*n**2 + g*n + d*n**3 + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from gusg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omo when three letters picked without replacement from {o: 2, m: 2, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132757?\nAnswer: 132757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088073.\nAnswer: 3, 7, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 - k**2 - 4*k - 1. Let d be v(-3). Suppose -110 = 5*q + 3*j - 384, 3*q - d = -2*j. Calculate the greatest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35723251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-40)\/k)\/k*k\/(k\/(k**(-8)*k)))**(-6\/25))**(-14) assuming k is positive.\nAnswer: k**(-4116\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**3 + 4*f + 9. Let t(y) = -5*y**3 - 2*y - 4. Let j = 64 + -71. Let i(k) = j*t(k) - 3*h(k). Suppose 0 = 6*p - 2*p + 4. Calculate i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2890.17 + 2891.1700025. Let c = 1 + -2. Let x = h + c. What is x rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15556*w**5 + 10127*w**2?\nAnswer: 933360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffnf when four letters picked without replacement from {f: 5, n: 3, v: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 14. Let g(d) = -d - 1. Let h(s) = -4*g(s) - w(s). Let r be h(5). Let u be 84 + -2 + 6 - 8. What is the highest common factor of r and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 2*g**2 + 3*g + 4*g + (-2 + 2 - 3*g)*(-g + 0*g + 0*g))*(-1 + 0 + 2)*(-3*g - 33*g - 6*g).\nAnswer: -42*g**3 - 84*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -18, -2\/3057, -160?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124847 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1866\/(-8))\/(6\/(-72)). Let v = -1540 + x. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 17. Find the third derivative of 289*k**3 - 141*k**3 - 75*k**5 - 147*k**g + 51*k**2 wrt k.\nAnswer: -4500*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/9 (b) -0.19 (c) 2 (d) 0.5 (e) 0.02884 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 4. Suppose -2*h + 3*u = 9, -3*u - v = 5*h + 32. Let j be (141\/h)\/((-2)\/4). Calculate the highest common factor of j and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 382*s**4 - 2*s + 10*s**2 + 339*s**4 - 719*s**4 - 9*s**2 + 3 + 169*s**3 as k*s**4 + y + f*s**2 + a*s + d*s**3 and give d.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 - 2)*(0*t**2 + 4*t**2 - 3*t**2)*(2 - 1 + 0)*(-2*t + 2*t + t) - 134*t**3 - 2259*t + 2259*t.\nAnswer: -142*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.2 + -14. What is the closest to -2\/15 in 6, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 * -110713\nAnswer: -13285560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = b + 15337, -20 = b - 19. What is the remainder when 7668 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1755*f**2 + 270770*f + 384638228?\nAnswer: 3510*f + 270770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -63. Solve u*o = 4*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84790 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 83*j + 57*j as r*j + c and give r.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 27\/6)*6 + (295 - 301)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 45 = -4*j + g, 0 = g - 5. Let f(u) = u. What is the lowest common multiple of f(4) and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**2 + 10*d**3 + 7*d - 3 + 3*d**3 - 12*d**3. Let o be w(6). Suppose 3*k - o = 27. What is the least common multiple of k and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 + 642\/7. Let c = 5455 - 16363\/3. What is the nearest to q in -5, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z + 12. Give u(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*t**5 - 4052*t**4 + 78977*t**3 - 9688*t**2 - 316148*t + 103584 = 0. What is t?\nAnswer: -2, 1\/3, 2, 104\/5, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 8:03 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118140 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 20. Let z be f(-14). Let p be (z - 3)\/3 + -4. Let r(g) = g**3 + 7*g**2 - 3*g + 3. Let l be r(p). What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -a9?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25556, -204064, -688642, -1632326, -3188152, -5509156, -8748374, -13058842?\n\"Answer: -25506*c**3 + c**2 + 31*c - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3251, -8095, -14545, -22607, -32287, -43591, -56525, -71095?\nAnswer: -87307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1368444385 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-14) + (-614)\/(-2149). Sort 39, x, -58 in decreasing order.\nAnswer: 39, x, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374398504 + 0*f - 14*f**3 + 0*f + 374398503.\nAnswer: -14*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (112\/6)\/((-30)\/(-45)). Let b = l + -25. Find the third derivative of f**6 - 3*f**2 - b*f**2 - 10*f**6 - f**6 wrt f.\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -103*n + 102. Calculate h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/21071760 and -59\/4741146.\nAnswer: 189645840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*h, -2*m = -2*h + m. Let v = -76 + 72. Which is the biggest value? (a) v (b) 6\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 + 3. Let u = 0.2 - 0.2. Let a = x + u. What is a rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 435993140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -16537 (c) -0.3 (d) 4\/9 (e) -5 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9592 by 8.\nAnswer: -1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 900 in 1.6, 7\/4, 2\/693?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36890\/42129 + 1984\/(-2232)\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5336973015.\nAnswer: 3, 5, 11, 23, 173, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1628189, 3256497, 4884805, 6513113, 8141421, 9769729?\n\"Answer: 1628308*a - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*(n\/n**(-14))\/n*n*(n**(9\/4))**(-2\/81))**(4\/3) assuming n is positive.\nAnswer: n**(562\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-19212)\/(-24) - (3\/(-2) - -2). Let z = n - 61. What are the prime factors of z?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 6432344?\nAnswer: -6432347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-242)\/33)\/(8\/(-12)) - -6. Let w(t) be the first derivative of 3*t**2\/2 - 35*t + 1. Let y be w(m). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9738 - 0.0262. Which is the nearest to 3\/5? (a) j (b) -8 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 282 - 465. Let q = 188 + h. Which is the closest to 0.3? (a) 2\/13 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63421236 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j. Let q(h) = 3*h - 2*h + 0*h. What is d(q(l))?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, d: 11}. Give prob of sequence dddd.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17027, -34140, -51339, -68624, -85995, -103452, -120995?\n\"Answer: -43*a**2 - 16984*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43416572543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62.4 + 61.4. Let l = -2.94 - -3. Let x be 2 + ((-230)\/45 - (1 + -4)). Which is the second smallest value? (a) j (b) l (c) x (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7247 is divided by 68?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10\/20*(-2 - 6) - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3\/5, -5, -0.06 in decreasing order.\nAnswer: 3\/5, -0.06, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*m + 45 = 0, 3*f - 431 + 395 = -3*m. Let r be ((30 - 0)\/2)\/(-1). Does 18 divide (126\/f)\/((-3)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(1\/3)))**(-17)\/(x**1)**(-8)*x**(4\/3)*x*x\/(x*x**(-1\/2)*x)*x*x*x*(x*(x\/(x*x**1))\/x*x)**(-9\/5) assuming x is positive.\nAnswer: x**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 23*n = 4. Determine l so that -104*l**5 + 422*l**n - 1262*l**2 - 190*l**5 - 384*l - 24*l**3 + 861*l**4 - 48 = 0.\nAnswer: -1\/2, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and -7.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51516545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -28. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 120. Let j = 58.6 - k. Let u(l) = -l**3 - l - 2. Let g be u(0). What is the nearest to 0.1 in 1.3, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.4 - 11. Let k = t - -0.2. Let m = -2.2 - -2. Put 3\/4, m, k in decreasing order.\nAnswer: 3\/4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5103)\/(-756) - ((-3)\/(-8))\/(-3)*10. Solve 2*r - n = 13*v - 14*v, 2*v - 3*r = -19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:53 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*a + 28 = 0, -j - 99 = -4*j - a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195924 - 195885. Factor 121\/2 + i*h**2 + 1\/2*h**4 + 110*h - 10*h**3.\nAnswer: (h - 11)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 95, 2, -1, 4.\nAnswer: -1, 0, 2, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/5 - 2286*c**2\/5 + 4*c\/5 + 9144\/5.\nAnswer: -(c - 2)*(c + 2)*(c + 2286)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:22 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74526568 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 158, -0.2, -5, 2, 3 in increasing order.\nAnswer: -18, -5, -0.2, 2, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-891)\/2772)\/(6\/7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/16876504 and -23\/2455393.\nAnswer: 1198231784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4.1, 133012, 2\/13, -1\/2 in descending order.\nAnswer: 133012, 2\/13, -1\/3, -1\/2, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - t - 217.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.3140851 rounded to 3 dps?\nAnswer: 121.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b + 4 + 2*b - 3 - 11 - 14*b to the form a*b + h and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44109775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3031682 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -1\/7*h**2 + 1\/42*h**4 - 3 + 1\/21*h**3 - 1\/70*h**5 + h. Let n(x) be the first derivative of b(x). Factor n(w).\nAnswer: -2*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*n - 0*q + q, 0 = 5*n - 5*q - 35. Suppose -2*g + n*g = 4*r - 34, -r = -4*g - 14. Solve r*f = 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30918 + 34547. What are the prime factors of m?\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 3. Let u be s(-2). Let p = 231\/2 - 115. Factor 0*k**2 + 0*k + 0 + p*k**u.\nAnswer: k**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -9*k - 44. Solve -36 = -5*v - k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666*x - 1 + 2 - 1353*x + 10 + 685*x - 4 - 13.\nAnswer: -2*x - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 86?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 9*k + 16. Calculate the remainder when 31 is divided by u(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a hour in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -180, -254, -328, -396, -452, -490, -504?\n\"Answer: i**3 - 6*i**2 - 63*i - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/(x**(-1\/4)\/x)))\/x)*x\/x**7*x)\/((x*x**(-6\/11)*x)\/x*x\/(x*x**2)*x*x) assuming x is positive.\nAnswer: x**(-97\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143 - -147. Let y(r) be the second derivative of -1\/27*r**3 + 1\/27*r**c - 1\/90*r**5 - 2*r + 0*r**2 + 0. Factor y(t).\nAnswer: -2*t*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/7 + 30*g**3\/7 - 184*g**2\/7 - 768*g\/7 + 2048\/7.\nAnswer: -(g - 16)**2*(g - 2)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21932.8865 rounded to the nearest integer?\nAnswer: 21933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {d: 4, y: 2, o: 3, i: 1, a: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58\/27 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*r + 2*r - 6, -2*r + 4*p = -24. Let c be (-9)\/(-15) + 44\/10. Suppose w - r = -c. Let f(a) = a**2 + 3. What is f(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 5076*q**2 - q + 5069*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o + 20*o - 7*o - 7*o. Let f(k) = -6*k. Determine f(n(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*b + b + 2*n - 181 = -0*n - 3*n, 3*n = 15 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 6*f + 7. Is 14 a factor of m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 339 + -3047\/9. Let q(r) = -r + 11. Let w be q(10). Which is smaller: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 6 = 0. Suppose -s*z + 2*z + 3 = 0. Suppose 0 = -g + z + 9. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -4390496\nAnswer: -17561984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 9:35 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 - t + 5. Let q be m(-6). Let a = 19 - q. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-10)*s\/(s**(1\/9)*s)*s assuming s is positive.\nAnswer: s**(-82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -529 * -0.46\nAnswer: 243.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - 3*s + 1. Let h = 22 + -13. Let k = h + -5. Give b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30022 - 8345. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 101. Let i = -7 + 6.7. Which is the closest to -1\/3? (a) l (b) i (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*t = 1013 + 7589 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 17*i**5\/5 + 15*i + 29. Differentiate a(w) with respect to w.\nAnswer: 68*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 4:21 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 14, 228867, -0.4, 6, 1\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 554?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3644, 3645, 3658, 3689, 3744, 3829, 3950, 4113?\nAnswer: 4324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 7*a - 10. Suppose k - 2 = 0, 3*k - a = 5*b - 2*k. Solve u = 2*u - s + 4, 4*s - 8 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*o + 3*o + 1, -o - 1 = 0. Suppose 4*n - 4*g = 3*n + 43, 2*n - c*g = 66. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.2. Let o = y - 8.8. Let p = o - -7.99976. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 12*t**2 + 6*t - 16. Let m(a) = 4*a**2 + 2*a - 5. Let h(o) = 10*m(o) - 3*n(o). Let f be h(2). Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5056 - -7847. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740 and 2820.\nAnswer: 81780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-3)*15444\/(-990).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57100 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 314*q**2 - 17*q + 89. Let k be i(-16). Does 94 divide (k\/(-315))\/((-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36769*n + 538*n**5 - 36769*n)*(-5 - 2 - 4 - 3 + 1 + 4 + (-3 + 1 + 0)*(0 + 2 - 3) - 3 + 3 + 2 + 0 + 6 - 4 + 5 - 3 - 4 - 6 + 4 + 1).\nAnswer: -3228*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + ((-476)\/18 - (-25 + 4199\/171)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 3 + 4642*a**3 - 7462*a**3 - 3 - a - 6245*a**3 in the form b*a**3 + u*a + h*a**2 + y and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*u = -247 - 218 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(95) - ((-3*sqrt(95) + sqrt(95) - sqrt(95))*4 + sqrt(95)) - sqrt(95) - sqrt(95)) + 6*sqrt(95)*2)\/(-4*(sqrt(180)*-1 - sqrt(45))).\nAnswer: -3 + 11*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 664\/19, -30, 51, 0.06 in descending order.\nAnswer: 51, 664\/19, 0.06, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 - 26 = 0. Suppose 2 + 18 = -q*f, -h = 5*f + 9. What is the remainder when 77 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -30*p + 5. Let b be 2 + (p - (-3 + 1)). Round b to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdes when four letters picked without replacement from sdccncnsddese.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -18 + 7\/15*b**3 - 11\/10*b**2 + b - 1\/20*b**4. Factor i(v).\nAnswer: -(v - 5)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, p: 1, e: 5, g: 1}. What is prob of sequence eep?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800.065 less than -4?\nAnswer: -1804.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 4*i**2 + 3. Let n be x(-3). Let o = -3 - n. Let c(w) = -w**2 + 5*w - 2. Give c(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24254 is divided by 114.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 245*v**2 + 2450*v + 39. What is r(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16474607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -18*h - 2554. Calculate c(-139).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.1. Let p = -2.33 + -0.73. Let b = 0.06 + p. Put -3\/4, b, q in increasing order.\nAnswer: b, -3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 15. Suppose -a*u = -20*u - 30. Solve -m - u = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*p**2 - 122*p**2 - 216*p**2.\nAnswer: -388*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -170055484, -170055485, -170055486, -170055487, -170055488?\n\"Answer: -q - 170055483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -83?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -556 - -4?\nAnswer: -552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**4\/4 - 283447*r**3\/4 + 566883*r**2\/4 + 1984111*r\/4 + 283445 = 0.\nAnswer: -1, 4, 283445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5447211910 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 667905517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(11\/4)*a*a**(3\/4))**(3\/8) assuming a is positive.\nAnswer: a**(27\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j - 2. Let m be d(-22). Suppose 5*q = -m, -3*q - 14 + 2 = -3*x. Solve -3*b + 9 = x, -2*c + 0*c - 1 = -b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + p - 24 - 44 = 0, 4*o - 5*p - 116 = 0. Suppose -2*f = -12 - o. Let l = 40 - f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -8, -0.12, 0.1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 13) in base 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7338 - -3084. Let z be w + (10 + -2)*(-2)\/4. Suppose -680 = -2*c + z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2 = u. Suppose 3*d - 5*v = -0*v - 48, u*d + 2*v + 32 = 0. List the prime factors of d\/(-40)*2*15.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78337.21 milligrams to grams.\nAnswer: 78.33721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1865)\/(-20)*(-4 - -8). Let t be -3 + 8 - -3*1. Suppose -t*s = -491 - d. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252116*h**3 - 503494*h**3 + 251377*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 5, 38, -9 in descending order.\nAnswer: 38, 5, 1\/6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2844 divided by 158.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/48 + 98825\/60 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 2, q: 3, g: 1, t: 4, o: 5}. What is prob of sequence cq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-210))\/((-52)\/45252). Let z = 488 + -44404\/91. Let g = z - s. What is the common denominator of g and 79\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 - 196 + 10)*(0*o - 2*o + 3*o) + 3*o + 6*o + 4*o in the form u + w*o and give w.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 1260*w.\nAnswer: -4*w*(w + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 12:19 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -8*p**5\/5 - 36486*p**4\/5 - 63822*p**3\/5 + 18236*p**2\/5 = 0.\nAnswer: -4559, -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 1\/5, -1, 3, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 12. Let b be ((-12)\/10)\/(a\/15). Calculate the highest common factor of 54 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -512 - -77?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 156 (b) 5 (c) 722 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 54, 110, 166, 222, 278, 334?\n\"Answer: 56*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11595768 to the power of 1\/2, to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 a factor of 1012473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 66770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 3442 = 14962. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151 + ((-17 - -24) + -5 - (-28 + 10)).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*v - 3*t, 2*t - 33 - 57 = -2*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61\/3, -1\/39, -4, -2.\nAnswer: -4, -2, -1\/39, 61\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103391 + 6922 = 2597*i - 114656 + 19806 for i.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.98 - 635.02. Let k = b + 688.013. Let d = k - 38. Are 0.1 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (9 + -18 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(16\/(-32) + 2*3). Suppose -r + 3 = q, 2*q - p = 8*r - 5*r. Solve -4*w - k - 18 = -2*k, 0 = -3*w - 4*k - q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rf when two letters picked without replacement from fffrfrfrrsfffrfpf.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j - 2 + 51*j - 8*j + 16*j.\nAnswer: 42*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8004 and 61548?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432892 is divided by 263.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 7314.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 5*g + 1. Let h(y) = -2*y**2 - 86*y + 85. Let w be h(-44). Calculate a(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -402*s + 202*s + 3 - s**2 - s**3 + 202*s. Let p be r(0). Put 0, p, -5, 2 in increasing order.\nAnswer: -5, 0, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1812417396 rounded to five dps?\nAnswer: 0.18124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 = -4*j, y - 4*j + 20 = -3. Solve 48*o + y = 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*w + 322*w - 15007 = -121*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b82a (base 12) in base 4?\nAnswer: -10323202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - -23. Calculate the remainder when j is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152*w - 70*w**2 + 15 - 41 - 50*w - 6*w**3.\nAnswer: -2*(w - 1)*(w + 13)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -4, -2, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 84*q - 82 - 772. Calculate the greatest common factor of q and 13010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((13 - (7 - -1)) + (1 - 6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-22)\/20))\/((1147\/(-31))\/(-407))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 252.12 - 248. Round h to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 19*w - 11 + 6 - 19 with respect to w.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13748695105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5 = -30*v + 31*v, 0 = -i - v - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (29 + (3 - (-17 - -36))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.21 + 0.39. Let q = -0.3 + p. Let a = 1.7 + q. Sort -3, 3, a in descending order.\nAnswer: 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 330\/45)*6\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*d, 7 = -y - 3*d - 0*d. Suppose y*n = -3*n. Suppose 81 = 3*i - n*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:04 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -178 + 274. What is the lowest common multiple of h and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/13)\/(v\/(v**0\/v))*v**(-2)\/((v**(2\/49)*v)\/v))**(-6\/11) assuming v is positive.\nAnswer: v**(16620\/7007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121120203 + -11?\nAnswer: 121120132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 157 - 225. Let i = 66 + y. Let z = -0.078 - 0.322. Which is the third biggest value? (a) z (b) 0.4 (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11451 (base 6) in base 16?\nAnswer: -697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132844 + 19824 = 3985*k - 18687 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -29. Let q = c + 56. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1102*k**5 - 5*k**3 + 6621*k + 2 wrt k.\nAnswer: -22040*k**3 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11049, 11056, 11065, 11076, 11089?\n\"Answer: d**2 + 4*d + 11044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32783 + -11055. List the prime factors of l.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.054 (b) 654 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 16*d - 56 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*j**2 + 1288*j - 3*j**5 + 1993*j + 2914*j**4 - 2916*j**4 wrt j?\nAnswer: -60*j**3 - 24*j**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -910.712347 - 0.910653. Let q = -912 - o. What is q rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -80*l**5 - 3800*l**4 + 15355*l**3 + 55575*l**2 + 38250*l = 0.\nAnswer: -51, -5\/4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0620333 rounded to three dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 + 6. Let t(a) = -1. Calculate -r(y) - 4*t(y).\nAnswer: 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 7. Suppose -3*m + 0*m = 10*m. What is h(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 836 and 29374?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -9*w**2 + 113. Let q(d) = 8*d**2. Calculate q(f(z)).\nAnswer: 2592*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 11*b + 25. Let w be d(-6). Let x be 48\/w + (-2)\/5. Is 3 a factor of 65\/2 + (-5)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, -2, -16 in descending order.\nAnswer: 3, 2\/11, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76962171?\nAnswer: 3, 11, 13, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s - n - 28, 4*s - 2*n = 40. Suppose s*p = 6*p. Sort p, -4, 3.\nAnswer: -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 225*k**3 - 4*k**2 - 53*k - 3. Let i(x) = -223*x**3 + 5*x**2 + 53*x + 4. Let d(r) = -4*c(r) - 3*i(r). Find the third derivative of d(t) wrt t.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69 + 3?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -72*c. Let w(b) = 20*b. Let v(k) = 3*n(k) + 11*w(k). Let r(p) = -2924*p. Calculate r(v(h)).\nAnswer: -11696*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -48\/71 (b) -6 (c) -1 (d) 22 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 904957 divided by -79\nAnswer: -904957\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g + 2. Let o be s(3). Let h = o - -17. Let a = h - -323. Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 80 = a. Suppose 12 = 2*i - 4. What is the greatest common factor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6346 in -23, -0.1, 4, -4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 10:34 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -512, 1547, 4980, 9787?\nAnswer: 15968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -48 - 45*b + 108*b + 119*b - 20*b. Let n(s) be the third derivative of 17*s**4\/24 - 5*s**3\/6 - s**2 + 3*s + 273. What is -5*j(u) + 48*n(u)?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57.35 - 56.35. What is the second biggest value in a, -45, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p + 3. Let j = 4592 + -4577. Give n(j).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 70, 3, -1\/59, -4 in decreasing order.\nAnswer: 70, 3, -1\/59, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2504 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*o + 3914 = -1567. Let c(u) = u + 2. Let g(j) = -1. Let k(l) = -c(l) - 3*g(l). Let p(q) = 3*q**2 - 21*q + 21. Calculate o*k(w) - 3*p(w).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1 - 3 + 3*o**2 - 4*o**2 + 2*o**2 - 5*o. Let k be s(6). Suppose 20 = k*r + 2*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 2*t - 1. Suppose 4*h = -5*s - 5, 25 = s + 4*h + 42. Let z(i) = -2*i**2 + 2*i. Give s*z(o) + 4*d(o).\nAnswer: -2*o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 193084.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/98*-7 + 260\/15.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50*(-25)\/1650 - -2*(-1)\/22?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43043 + -5?\nAnswer: -43051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27312*o + 27335*o - 276 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 9*u**7\/2 - u**4\/4 + 5*u**3\/3 - 85*u + 1. What is the third derivative of g(t) wrt t?\nAnswer: 11340*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05585 + 604.05585. Which is smaller: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1418056 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29557847353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.132 + 0.005.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(180\/65)*24\/6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43354*c**3 + 43373*c**3 + 4 - 4.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 266?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wncning. Give prob of picking 2 n and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -146, -5 in decreasing order.\nAnswer: 2, -1, -4, -5, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Suppose -2*k - 18 = 3*w - 6*w, -5*k - 23 = -2*w. Let j = w + q. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-4)\/12*0. Let p be (2 - -1)*(l + (-6)\/9). Calculate the highest common factor of p and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*(-15)\/17340*-4.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16686*g**5 - 20*g**3 - 10*g**2 - 6*g + 72479 wrt g.\nAnswer: -1001160*g**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 10*v + 12 = 0. Let w be ((-8)\/(-6))\/(3\/513). Suppose 10*i - w = v*i. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k + 39\/4*k**2 - 63\/4*k**3 - 1 = 0.\nAnswer: -1\/3, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123 + 126. Suppose 5*b = -5*s + 405, r*s - 2*b - 229 = 2*b. List the prime factors of s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m + 94. Determine u(29).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1183*i = 1159*i + 26736. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 13. Let p be o(6). Suppose -2*n + 6*n + 14 = 2*g, -3*g = -4*n - 11. Let x = g + p. What is the remainder when 7 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d**2 + 7. Let s(t) = -5*t**2 + 3*t + 57. Let v(i) = -4*i**2 + 2*i + 38. Let k(q) = -2*s(q) + 3*v(q). Calculate k(c(w)).\nAnswer: -288*w**4 + 336*w**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 34741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 + -7.8. Which is the third biggest value? (a) -1 (b) s (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126419577?\nAnswer: 3, 173, 243583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r + 1215*r**2 - 2519*r**2 + 1270*r**2 - 39*r.\nAnswer: -34*r**2 + 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4860 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -u + p, -3*u + 2*p - 31 - 4 = 0. Let l = 7 - u. Let f = l + -7. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 13242*z - 631. Does 65 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 30 + -42 + 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18412*s**3 + 18418*s**3 - 36827*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2390 + 7618 + 1752 = -784*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 z when four letters picked without replacement from {y: 6, g: 7, z: 4, f: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7 + 1. Suppose 106 - 7 = a*w. Calculate the lowest common multiple of w and 9\/12 + ((-1116)\/32)\/((-24)\/16).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from lyyppmzyzyzpzyyypl?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3107161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3 (c) -1 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)\/z*z*z**(4\/5)*z*(z\/((z\/(z*z*z\/z**5*z))\/z))\/(z**(-3\/7)\/z)*((z\/(z**9\/z))\/(((z**(3\/5)*z)\/z)\/z))**(1\/14) assuming z is positive.\nAnswer: z**(213\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.1 (b) -0.2 (c) 3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013908 to 4 decimal places.\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 2:14 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**28*z*z**(4\/27)\/z)\/(z**(-9))**(-4))**(-42) assuming z is positive.\nAnswer: z**(2968\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93810482?\nAnswer: 2, 277, 313, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5\/12 (b) -3 (c) -0.085 (d) -1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 665.78444 - 0.75444. Let n = y + -661. Let c = n - 0.03. Put -1, 2\/3, c in decreasing order.\nAnswer: c, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6558 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1 + 0)*(74*l**4 - 53*l**4 - 50*l**4).\nAnswer: 174*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*b = -6, -179 = -47*i + 4*b - 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11431, 11388, 11331, 11254, 11151, 11016, 10843, 10626?\n\"Answer: -z**3 - z**2 - 33*z + 11466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155972 (base 12) to base 13.\nAnswer: -c9023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y + 4. Let k be g(-1). Suppose q + k = 6. Calculate the least common multiple of 53 and q.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9122.583 tonnes?\nAnswer: 9122583000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4085.1 to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2310)\/275)\/(((-36)\/15)\/(-6))*1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 390 = -1444. Let i = -190 - c. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -76\/3 (b) 22964 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 315 + -31?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3167 and -17058.866905.\nAnswer: -17059.183605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67518272.\nAnswer: 2, 613, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 - 2*k + 4*k - k.\nAnswer: k - 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 1, -33, 9 in increasing order.\nAnswer: -33, -12, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1. Let p(n) = -16*n**3 - 8*n**2 + 8. What is -32*f(o) + 4*p(o)?\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 29 = -t. Suppose 5*s = -4*a + 358 + 295, s - 4*a = t. Suppose 0 = 15*c - s - 272. Calculate the smallest common multiple of 9 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + a - 3 = 0, -9*c - 4*a = -5*c + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 31*u**2 - 34*u - 128. Give z(-32).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -4.5. Let w = -5.3 - b. Let r = w + 1.3. Is r greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 44?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 2*v**2 + 2*v**2 - 10*v**2 + 2*v**2 - 19*v**2 + 1 - v**2 - 1 + (-v + 2*v + v)*(0 + 0 - 2*v) - 3*v**2 + 0*v**2 - 2*v - 4*v**2.\nAnswer: -40*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((7\/1 - 4)*143\/(-40326))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 - (-11)\/55. Suppose -8*a + 3*a + 10 = r. Suppose -n = z - 6, 2*z + 16 = 7*z - a*n. What is the remainder when 14 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -0.3, 1\/77, -3, 0.103?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/24 and 103\/1512.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*x**4 + 2*x**2 + 103.\nAnswer: -40*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 851805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*f. Suppose k + 3*k - 18 = x, -3*x + k - 10 = 0. Suppose 4 = 3*s + 1. Sort x, f, s in increasing order.\nAnswer: f, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -282497605493 and -0.02.\nAnswer: -282497605493.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 93*x**2 - 141*x - 537. What are the prime factors of q(-91)?\nAnswer: 2, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c7b33 (base 14) to base 15.\nAnswer: 97e01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 2. Calculate the remainder when 23 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, d: 1, i: 1, z: 1}. What is prob of picking 1 j and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:46 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -42. Let l = -15 - u. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - g**5 + 3*g**3)*(3 + 3 - 5) + (11*g**4 - 9*g**4 - 106*g**4)*(-2 + 0 + 1)*(-g + g - 3*g).\nAnswer: -313*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -2. Let d = 65 - 65.5. Which is the nearest to s? (a) d (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5273 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Let v(q) = -q**3 - q - 5. Let l be v(-4). Suppose 6*r - u*r = l. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 17*k**2 + k + 6. Give j(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18138 or -18026?\nAnswer: -18026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from lpx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 105\/989696?\nAnswer: 105\/989696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1371 or 1387?\nAnswer: 1387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 - 14 = 0, 2*k = 5*p + 90. Let l = k + -33. Suppose -w - 1239 = -l*r, -r = 4*w - 695 + 53. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/6 + (-2)\/(-6). Let l = d - -18. Suppose l*u - 3 = 5*u. Calculate the greatest common factor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 1. Let o be 5\/((-175)\/(-14)) - 48\/20. Let u(n) = -10*n + 2. Determine o*u(q) + 7*f(q).\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -84*i + 1. Let r(k) = 647*k**2 + 2*k + 1. Give a(r(h)).\nAnswer: -54348*h**2 - 168*h - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 12 - 6*o**3 + 2.\nAnswer: -6*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q + 0*q - 5*q + 8*q - 10*q + 1 + 5*q**2 - 2*q**3. Let x(t) = 5*t**3 - 14*t**2 + 8*t - 3. Determine 8*s(r) + 3*x(r).\nAnswer: -r**3 - 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-10738)*4537\/(-3141).\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1147, 2291, 3433, 4573?\nAnswer: 5711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, 11 in decreasing order.\nAnswer: 11, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*v**3 - 5322148*v**2 + 42580256*v - 85162560 = 0. Calculate v.\nAnswer: -1330665\/16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19957.37 take away 0.0385391?\nAnswer: -19957.4085391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 35*s - 79854 = -37*s, 3*s - 79849 = -4*j. What are the prime factors of j?\nAnswer: 2, 67, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - -20. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7511.961nm in millimeters?\nAnswer: 0.007511961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 52. Solve 0 = -3*f + 2*i - 0 - 17, 5*i - v = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.32 and -4.\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.021925 + 0.022. What is u rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2\/5 + 1990596*v + 19905944\/5 = 0.\nAnswer: -2488243, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 21*l - 15. What is u(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 267*r + 2 + 267*r - 7*r**3.\nAnswer: -7*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2. Let g(x) = -2*x - 6506. What is r(g(n))?\nAnswer: -8*n**2 - 52048*n - 84656072","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 8. Suppose 1 = o - 10. Let z be k(o). Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y. Let p be q(-7). Let l be (-90)\/p - (-1 + 4). Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1014231 by -338077.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:15 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - p - 1. Suppose 8 + 0 = -5*o + z, 3*o + z = -8. Let b be (0 + 0\/1)\/o. Let f be (-2 + 1)\/(1 + b). Determine m(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*b - 1561, -1130 = -4*x + 5*b + 132. What is the remainder when x is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4557*g**2 - 91*g + 91. Let a(d) = -304*d**2 - 6*d + 6. What is 91*a(x) - 6*i(x)?\nAnswer: -322*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -8, -5*j = -k + 6*k - 10. Suppose 0 = k*w + v + 2319999, 2*w + 1739998 = -w - 2*v. Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -4 (c) -8.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 40570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*v = -90336 + 87918 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*q + 27*q + 432 = 0. What is the smallest common multiple of 6159 and q?\nAnswer: 55431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 133*x**2 - 1165*x + 4684. Determine a(124).\nAnswer: -1392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - 0.14. Suppose 7*n - n + 30 = 0. What is the third biggest value in d, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d + 11 + 3*d - 6*d. Let u be n(-8). Let g(f) = f - 1. Calculate the smallest common multiple of g(u) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*b, 3*b = 3*n + 2 + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 285\/(-38). Find the common denominator of ((-292)\/(-4))\/((a + 2)*4) and -103\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -525, 715, -3 in increasing order.\nAnswer: -525, -3, 37, 715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 40. What is the remainder when 34 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.7. Let v = i - 1. Suppose 2*l + 2*w + w + 21 = 0, 4*l = -2*w - 22. Sort l, 2, v.\nAnswer: l, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 320642?\nAnswer: 1923852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 8. Suppose -d + 4 = d + v*p, 13 = 3*d - p. Suppose 15 = t + d*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.351117 * 0.07\nAnswer: 0.51457819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19704 + 14255 - 5340 = 1397*k - 3512 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54934*z**2 + 119571*z**2 - 174503*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.078 + -0.078. Let m = -8\/7 + 41\/42. What is the closest to 0.1 in c, 2, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-123)\/41)\/((-33)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.915585ml?\nAnswer: 0.004915585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x + 3. Let l(n) = 5*n + 101 + 2*n - 34 - 30 - 34. Determine 2*d(i) - 3*l(i).\nAnswer: -5*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125344 is divided by 1229?\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*h + 5*o + 28, 0 = -5*h - 5*o. Suppose -3*g + 0*c = -c + 8398, 11208 = -4*g - h*c. Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -88, 3 in ascending order.\nAnswer: -88, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4204492 divided by -78\nAnswer: 2102246\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(15\/(-33))*4\/22. Suppose 717 = 3*t - 0*t + b*y, y - 714 = -3*t. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.870311 years?\nAnswer: 0.0870311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*1*5 - ((0 + sqrt(125))*5 + sqrt(125)))*4 - -3*5*(2 + sqrt(320) + (sqrt(320) - (1*sqrt(320) - sqrt(320))) + sqrt(320)))**2.\nAnswer: 20400*sqrt(5) + 578900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 96 = 5*q. Let o = 14 + q. Find the third derivative of 18*y**6 - 4*y**o + 35*y - 35*y wrt y.\nAnswer: 2160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 6*l. Solve 3*f - 3*o - 4 + 1 = l, -3*o + 5 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1076, -1120, -1264, -1556, -2044, -2776, -3800, -5164?\nAnswer: -6916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*m - 17 + 18, 25 = 5*f - 5*m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, o: 1, k: 1, h: 1}. Give prob of sequence hd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.3, 5, 317\/33, -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*l**3 + 26*l - 164*l**3 + 80*l - 2*l + 2*l + l**3 + (2*l**2 - 2*l + 2*l)*(4*l + l - 3*l) + l**3 + 4*l**3 - 3*l**3.\nAnswer: 6*l**3 + 106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -67238 - 59830. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmqm when four letters picked without replacement from mmmmmmmmqmmmq?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 - 96*s**2 - 15*s**3 + 12 + 94*s**2 - 11 to the form b*s**2 + v + r*s**4 + q*s**3 + y*s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6867.99996229 + 6868. What is h rounded to six decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 9*q**2 - 3*q + 11. Let g be j(-9). Suppose g = -0*h + h. Suppose -3*w + h = -w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 22 - 5) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3\/9 - 550*q**2\/3 - 218546*q\/9 + 24466 = 0.\nAnswer: -117, 1, 941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 926044 divided by 14\nAnswer: 66146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35425 - -3250?\nAnswer: -32155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 = -5. Let v(y) = -y - 3. What is the remainder when v(-7) is divided by ((-10)\/c)\/5*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 9 + -13 + 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 + 0*c**2)*(-6288*c - 6288*c - 208*c**2 + 12582*c).\nAnswer: -416*c**4 + 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 4:28 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 50. Which is greater: -16 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 826 = -30*f. Let c = f - -1. Calculate the lowest common multiple of c and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 763308*l**4 + 16*l**2 + 41578*l - 220 wrt l.\nAnswer: 9159696*l**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -610*m**2 + 813 wrt m?\nAnswer: -1220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.13 (b) 11 (c) 19 (d) 1\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.42333 rounded to two dps?\nAnswer: -4.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + 5 + (3 + 3 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 37789.\nAnswer: -3778.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2425 = -5*k, -2 = 4*k + 2. Suppose 8*o = 3*o - 1335. Let u = o + m. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 183, 180, 175, 168, 159, 148, 135?\n\"Answer: -p**2 + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 6*y**2 - 27*y + 15. What is m(3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2. Let l(f) be the first derivative of -67*f**2\/2 - 2*f + 2426. Give q(l(j)).\nAnswer: 8978*j**2 + 536*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7000126 - 5.7. Round s to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3040 divided by 10\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 42*c + 1462. Calculate n(-35).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.7282 to 0 dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 1243?\nAnswer: -621.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30065005 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1440 = -11*o. What is the greatest common factor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -0.4 (c) 0.6 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2155 = -2*m, -4*m + 3*h + 2623 + 1642 = 0. Is 51 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2625 and -17\/490.\nAnswer: 36750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -5, 0.3, 21.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13, -1, -25, -65, -127?\n\"Answer: -d**3 + d**2 - 10*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q. Let c(d) be the third derivative of -d**4\/24 + 7*d**3\/3 + d**2. Let t be c(5). Let j(o) = -1 + 3*o**2 - t*o**2 + 1. Determine r(j(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 48*y + 2. Let o be p(2). Suppose 17*i - o = 19*i. Let h = -18 - i. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102178043 * 2\nAnswer: 204356086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h - h + 5*h)*(17*h - 15*h - 49*h - 50*h - 71*h).\nAnswer: 1680*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 3)\/(6\/12) - 1. Suppose r + 5*j - 30 = 0, 8*r - x*j = 3*r. Find the third derivative of 19*k**2 + k**4 - k**4 - r*k**2 - 5*k**4 wrt k.\nAnswer: -120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6642.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -266 + 36. Suppose 0*v + 2*i = 2*v - u, -v = -3*i - 25. Suppose -h = h - v. Calculate the least common multiple of 8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3321 + 3411. What is the least common multiple of 285 and y?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4723 divided by 1266?\nAnswer: -4723\/1266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-17)\/z)*z)\/((z**0\/z)\/z) assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1215998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*r + 94*r + 31*r)*(-5 - 6 + 2).\nAnswer: -2016*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 3, 1, -1\/44 in decreasing order.\nAnswer: 3, 1, -1\/44, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4876 - 4876.1. Which is the closest to z? (a) -0.5 (b) 5 (c) -5 (d) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-2) - -6 - (-70)\/(-21). Determine t so that -1\/6*t**2 + i - 1\/2*t = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15954 - 109.\nAnswer: -16063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddukdkdkkdduukudd. Give prob of picking 2 d and 2 k.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 18 = -3*z - l, -5*l - 12 = -2*z. Suppose -10*h = z*h + 48. Sort h, 4, -5 in descending order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 1118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**2 - 25\/6*b**3 + 38*b + 0. Let v(f) = 8*f. Determine v(c(m)).\nAnswer: -200*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2. Let z(h) = h + 1. Let k(w) = 0*w + 5*w + 3*w + 6. Let v = 1 + -2. Let r(i) = v*k(i) + 6*z(i). Determine r(s(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -347273, -1389127, -3125551, -5556545, -8682109, -12502243?\n\"Answer: -347285*f**2 + f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 57*d**2 + 22*d - 99. Let o be g(5). Calculate the highest common factor of 6 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-2\/17))\/w)\/w*w)**(-29))**17 assuming w is positive.\nAnswer: w**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhrhlrtrqtllhh. What is prob of picking 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 - 240*b + 9*b + 163)*(5 - 4 - 2).\nAnswer: 231*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (8 + 41)) + 74 + -77 + (5 - 0)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*n - 71, -2*o + 101 = -4*n + 25. 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: Calculate the lowest common multiple of 2502 and 321.\nAnswer: 267714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -751, -757, -771, -793, -823, -861, -907?\n\"Answer: -4*z**2 + 6*z - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 471, 18, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*i**4*t - 15946*i**4 + 2*i**3*t - 101994115*i**2*t wrt i?\nAnswer: -2160*i*t - 382704*i + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*u - 2*u + 5*u)*(3 + 0 - 4) - u + 2*u + u + (4*u + 2*u - 5*u)*(-2 - 1 - 3))*(48 + 201*u - 23 - 27) in the form q*u + a*u**2 + j and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 28) + (5 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11270 - 11270.0008261. Round d to 5 dps.\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snrnnnrnsrssrsnnnnns. What is prob of sequence rs?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 74 - 82 - (-1 + (-3 - -2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 47*h - 911. What is u(20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2754, -52, -63 in increasing order.\nAnswer: -2754, -63, -52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 41 = 5*k, 4*k + 10 - 32 = -l. Let g be 3 - (-2 - 2 - 297). What is the lowest common multiple of g\/14 + 12\/42 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290674 < 4290649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -11*a**3\/6 - 1767*a. Let l(y) = 111*y**2. Calculate x(l(b)).\nAnswer: -1221*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**5 - s**5 + 2*s**5 + (s - 38*s + 4*s)*(7*s**4 - 9*s**2 + 9*s**2).\nAnswer: -233*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/7))\/l**1*(l*l\/(l**(-4\/7)\/l)*l*l)\/l*l*(l*l**(1\/7)*l)\/l assuming l is positive.\nAnswer: l**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - -19. Suppose -821 = -l*n + 55*n. Let o = -1549 + n. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 + 678*v**2 + 1349*v - 2028 = 0. Calculate v.\nAnswer: -676, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**3 - 8*a**2 + 13*a. Let f(b) = 4*b**3 + 4*b**2 - 7*b. Suppose 16*p = 8 + 168. Let t(z) = p*f(z) + 6*l(z). Give t(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/34 in -0.4, 15, -1\/5, 0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = 2*o. Let i be ((-6)\/o - 0)*3. Let k be (-3 - i) + 10 + -1. Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from uunuuunvuauavaanyvu.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45, -60, -95, -150?\n\"Answer: -10*l**2 + 15*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4485947?\nAnswer: 59, 139, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 - ((-38 - 3 - -12) + 46).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-140 - (-77367)\/555)\/((2\/(-30))\/((-57)\/(-9)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*v + 2 - 57*v**2 + 123*v**2 - 56*v**2 - 5*v - 9*v in the form q*v + b + x*v**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83895 by -2397.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 3*c = 160. Let s(m) = 9*m**3 - 5. Let g(y) = -28*y**3 + 16. Let o = -10 - -12. Suppose -o*b + 8 = -2. Determine b*g(f) + c*s(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -138633\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h + 8*h - 38 = 51*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**3 + 4*w**2 + 2. Let r(x) = 4*x**3 + 4*x**3 - 4*x**2 - 2535 + 2532. What is -5*i(n) - 4*r(n)?\nAnswer: 3*n**3 - 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2889 and 31565?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m - 2*m - 3*m + (0 - 4 - 1)*(0 - 2 - 3)*(-12*m - 25*m - 5*m) to o + r*m and give r.\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + 3*s + 53 = 0, -2*s = 4*t - 170. Calculate the smallest common multiple of 48 and t.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*f + 244, 0 = -n + 2*n + 2*f - 78. Calculate the remainder when n is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 = 4*s + 3*r - 454, 4*s - 890 = 2*r. List the prime factors of s.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*n**2 + 1141*n**2 + 76*n**2.\nAnswer: 1504*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 62, 224, 446, 686, 902, 1052?\n\"Answer: -7*w**3 + 72*w**2 - 5*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 - 3 + 2*t)*(-6*t**2 + 10*t**2 - 3*t**2) in the form q*t**2 + v*t**3 + c*t + o and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 3696005579282.\nAnswer: 3696005579282.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87*y**2 + 97 - 444*y**2 + y**5 - 240*y**2 - 5*y - y + y wrt y.\nAnswer: 20*y**3 - 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x + 19. Let o(q) = -11*q + 38. Let w(j) = -14*c(j) + 6*o(j). What is the remainder when 54 is divided by w(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114*(-2)\/(-15))\/(80\/100).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) 0.3 (c) 6 (d) -15 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14418, 57698, 129832, 230820, 360662, 519358?\n\"Answer: 14427*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/91, -46, 2.78, 3.7?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*q**4 - 2768906*q**2 - 22937077 wrt q?\nAnswer: -48*q**3 - 5537812*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 1.6. Which is the fourth biggest value? (a) g (b) 2 (c) -1\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -117, 5 in ascending order.\nAnswer: -117, -99, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*7*665\/40*(-7002)\/(-22173)\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*k**4*x + 389443*k**4 + 2*k**3 - k**2*x + k**2 - k*x + 175824*x - 2 wrt k?\nAnswer: -360*k*x + 9346632*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12350473.\nAnswer: 379, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -385 + 390 + (1 - (-1 + -20))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 12. Let s = 25 - i. Let c be (5 + 6\/9)*(-32 + 35). What is the greatest common factor of s and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 1.4, -3, -84, -2\/71?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124613 is divided by 1501?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 18*t - 138. What is p(-15)?\nAnswer: -633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11100 (base 2) to base 5\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9372 = b - 5*l, -2*b + 182*l + 18711 = 183*l. List the prime factors of b.\nAnswer: 3, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/646351 + 5557325948\/16158775. Let k = r - 344. Let n = 0.038 + -0.238. What is the closest to n in -5, 3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1783 = 4*r + 3*t - 39, 910 = 2*r + 2*t. Let q = r - -75. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3 + -5. Let p = n + 1.7. Do -0.2 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 48*m**2 + 35*m + 269. Determine h(23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195075 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27943, 27649, 27379, 27133, 26911, 26713?\n\"Answer: 12*g**2 - 330*g + 28261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10321 - -10320. Which is greater: n or -92\/57?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*p**2 - 1 + (-2 - 2 + 1)*(-6*p**2 + 0*p + 0*p) to the form s*p + t + y*p**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(20\/4))\/((-11)\/(-143))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 0 + (-2 + 3*sqrt(1053))**2).\nAnswer: -18972 + 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let q(d) = 4*d**2 - 4*d + 1. Let u(r) = 8*r**2 - 9*r + 3. Let l(w) = 5*q(w) - 3*u(w). Let x(m) = -4*i(m) - l(m). Is x(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1037081*j - 30075360. What is o(29)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -16, -0.3, 0.4, 0.186?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80764 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069186 greater than 1069141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 136 - 4356?\nAnswer: -4220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 9*b - 116. Is 7 a factor of 6\/(-8)*-4 + 25 + b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/20 - o**4\/6 + o**3\/3 + 9*o. Let g(k) = -k**3 + k**2 - 2*k. Let a(t) = -5*g(t) - 4*r(t). Let a(j) = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 3\/41 (b) 0 (c) 3\/2 (d) -0.5 (e) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 71, 178, 337, 554, 835, 1186, 1613?\n\"Answer: x**3 + 17*x**2 + 3*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 + 1 - 2*j**2 - 18*j**4 + 3*j**3 + 9*j**4 + 7*j**4 to k*j**4 + c*j**3 + s + i*j + r*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 345 = 0. Suppose -y = -g - 3*i - 26, 4*g = 4*i + 388. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -1\/3, -42, 20, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 42 + 34. Let y be (-3 - 35\/(-25))*60\/o. Calculate the highest common factor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 5:16 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*j + 16 = -2*j, 34 = 4*g + 5*j. Let c(m) = 8*m - 5. Let l(s) = s - 24 + 23 + 0*s. Calculate g*l(d) - c(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 1\/4 (c) 99 (d) -245 (e) 3 (f) -67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54366256 rounded to three dps?\nAnswer: 0.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 754909449?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-372)\/(-30) + 2\/(-5). Let h be (3 - (-11)\/(-3))\/(r\/18). Calculate the common denominator of 32\/27 and 318\/54 + (h - 2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9343 is divided by 3082.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*z)\/(z*z**(1\/18)*z) assuming z is positive.\nAnswer: z**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7378)\/6 - (143\/(-39) + 4). Let o = u - -1230. What is a in o - 9\/8*a**3 - 1\/8*a**5 - 1\/4*a - 5\/8*a**4 - 7\/8*a**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Which is the second biggest value? (a) -0.1 (b) g (c) 1\/2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g - 514 = -57*g. Let p = g - -239. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 7471009*s - 55815975478081.\nAnswer: -(s - 14942018)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 8300625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35500 + -35101. Solve 28*h = -29*h - r for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4074661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 16. Suppose -p*y - 136 = -8*y. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 62 = 16. Suppose -y*w = -9*w - 752. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47783 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635039 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {l: 1, m: 1, p: 1, i: 1, u: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1*(1 + -2) + (-4 - -203)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295951937?\nAnswer: 37, 7998701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n - 40*n = -152 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 (base 14) in base 16?\nAnswer: -2a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = 0. Calculate the remainder when 7 + -10 - (f + -50) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/(2\/(-215)*(0 - 5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13309, -26780, -40417, -54226, -68213?\nAnswer: -82384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/73)\/k*(k\/k**(1\/15)*k*k)\/k assuming k is positive.\nAnswer: k**(992\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2*(60 + 7500\/(-120))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -675 - -4410. Find the second derivative of -25*m + 6*m - 3734*m**3 + r*m**3 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 7337*v\/2 - 12640845\/4.\nAnswer: -(v + 919)*(v + 13755)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 983036881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ba - 2cbd2?\nAnswer: -2cb18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -2 - (-13 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(940\/(-5640))\/((-1)\/(-2224)*4)\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13080 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (129\/6)\/((-2)\/(-4)). Suppose o - p + 6 = -3*u, 3*u - 35 = -2*o. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (322\/28 - 12)*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*q - 2, -5*a + q = 1. Is 4\/91 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42d5 (base 14) in base 16?\nAnswer: -2d23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13384 + 13379. Suppose 0 = 4*k + 4*r - 12, 2*k + 4*r - 16 = -0*r. Sort y, k, -23 in decreasing order.\nAnswer: k, y, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905818126?\nAnswer: 2, 239, 1895017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -476, -1910, -4302, -7658, -11984?\n\"Answer: -s**3 - 473*s**2 - 8*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-38)\/((y**(-1\/17)*y)\/y))\/(y**(-3\/11)\/(y**(-1\/6)\/y)) assuming y is positive.\nAnswer: y**(-43573\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 + 9*n + 32. Let p(w) = -2*w**3 - 5*w - 16. What is -3*m(a) - 5*p(a)?\nAnswer: -2*a**3 - 2*a - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 773 + 1.29.\nAnswer: 774.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685835721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 13. Let z be g(-13). Suppose z*h - 3*h = -321. Let f = 158 - h. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 29*w + 514. Calculate p(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.498 - 0.498. Let y = 43 - 385\/9. What is the closest to 0 in m, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -4\/3, 0.2388, -10, 0, -3.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/141484 and -123\/35371000?\nAnswer: 35371000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {t: 5, f: 1, h: 5, u: 5, b: 4}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {b: 2, v: 1, d: 1, p: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/9, 0.9, 35?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -12*u + 0*u**6 + 0 + 0*u**2 + 0*u**5 + 0*u**3 + 0*u**7 + 11\/56*u**8 - 5\/4*u**4. What is the third derivative of g(p) wrt p?\nAnswer: 1320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*n + 79*n + 936. What is the remainder when 389 is divided by n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5 - 325*z**4 - 7070*z**3 - 60120*z**2 - 116640*z + 535680 = 0. What is z?\nAnswer: -31, -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 5. Let q(j) = j + 6. Let u = 6 - 3. Give u*q(t) - 4*i(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.478221 rounded to 1 dp?\nAnswer: 106.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 37 + 123*o - 20 in the form m + v*o and give v.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 11:01 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*v - 33 = -13, 4*v - 15 = l. Suppose -4*q - 4*b = 4, -q - 5 + 7 = -2*b. Put -3, q, l, -1 in descending order.\nAnswer: q, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34052\/5 - 6742. Let x = -68 + t. Find d, given that x*d**4 - 2\/5*d - 2\/5*d**5 - 4\/5*d**2 + 4\/5*d**3 + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.329 + 0.119. Let c = 0.09 - i. What is the closest to 2 in c, -2\/5, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42456351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284 plus -2?\nAnswer: -1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 26*c + 21. Suppose -3*i + n = -3*n - 10, 0 = 2*i + 3*n - 18. Calculate the remainder when a(26) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.8 + 15.8. Put 8, w, 0.2 in decreasing order.\nAnswer: 8, w, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3858 + -3838. Solve -3*l = 32*g - 35*g + 6, -5*g = -a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1152 and 19\/2112.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2600 + -24024?\nAnswer: -21324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5016 = 8*s - 12*s. Is s a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39480081 and 39480081 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)*l**(1\/5)*l\/l**6*l*l**(4\/3)*((l*l**(3\/7)*l)\/((l*l**(4\/3))\/l))**(1\/69) assuming l is positive.\nAnswer: l**(-2143\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -o + 4*q, o - 5*o - 9 = -q. Let i be (-84)\/70*15*1. Let n = i - -20. Sort o, n, -1 in decreasing order.\nAnswer: n, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 26*y**3 + y**2 - 2*y + 1. What is the remainder when (1 - 165\/105)*-175 is divided by k(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:54 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + 4*v**2 - 5*v + 1. Calculate r(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*(-1*sqrt(1584) + sqrt(44)))\/(sqrt(144) - -5*(sqrt(144) + 1*sqrt(144))))**2.\nAnswer: 25\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 18*v**2 - 12683*v - 101598. Calculate m(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 - 16*w**2 - 15*w + 14. Let r be j(-2). Let p(a) = -5. Let o(q) = 2*q - 60. Determine r*p(y) + 5*o(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 0*s + s + 4 + 4. Let b be p(7). Suppose 53*w + 52 = -3*v + 58*w, 0 = v - 2*w + 21. Put 5, v, b in ascending order.\nAnswer: v, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v - 20*v**3 - 3*v - 8*v**4 + 20*v**3 wrt v.\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88334*m**2 - 25797*m**2 + 26781*m**2 - 23061*m**2.\nAnswer: -110411*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-56))\/((-9)\/(-24)). Suppose -q + 3*u = -13, 4*q - 14*u = -9*u + 31. What is the second smallest value in 0, q, 2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - c + 0*c + (2 - 2 + 2)*(-2*c + 3*c + c) + 2 - 2*c - 2 + (0*c + 0*c - 4*c)*(1 + 2 - 1).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477 = 4*r + 129. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:56 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s = 64*s - 183 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*(2 + -12). Let d be v\/(-15) + ((-40)\/(-25))\/(-2). Let p = -1.9 - 0.1. Which is the closest to 1.3? (a) d (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -138.\nAnswer: -5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 14*s**3\/3 - 12523*s. Let w(x) = -41*x**2. Give q(w(c)).\nAnswer: -1148*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*k - 61*k - 4*g + 11 = 0, -2*g + 4 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 16 = -5*i + 14, -2*j = -5*i + 39. Solve 5*k + 6*x - 27 = 4*x, 0 = 2*k - x - i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7188, 102 in decreasing order.\nAnswer: 7188, 102, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/7, 49\/5, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640660564?\nAnswer: 2, 2411, 66431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -340*p + 61. Let z be t(-9). Suppose -k + z = -426. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 77410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 729?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 5*w + 3*w)*(-9 + 0 + 5)*(1 - 1 + 2)*(2 + 1 - 1).\nAnswer: 144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 179.\nAnswer: -41\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 49\/(-2)*(-6600)\/(-350). Round f to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i = 12. Suppose i*n + 5*s = 3 + 9, -3*s = 0. Suppose 856 + 401 = n*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38160 (base 10) to base 8\nAnswer: 112420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -4*i**2 - 1\/15*i**6 - 2\/105*i**7 + 0*i**3 + 0*i**5 + 0*i + 0*i**4 + 0. Factor n(a).\nAnswer: -4*a**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 2520272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 144*o**2 - 26*o - 13. Is z(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4 - 1. Suppose -5*f + 3*o + 0*o + 4 = 0, 3*f - o = 4. Let t(i) = i**3 - i**2 + 5 + f*i**2 + 6*i + 5*i**2. Calculate t(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-3))\/((-2)\/18). Suppose 5*f - a = 3*s, -7*s - f = -3*s + 9. Let o = s + 25. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.1499 to 1 decimal place.\nAnswer: 92.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2546*i**2 - 2546*i**2 + 139*i**3 + (-4 - 8 - 11 + 2 - 2 - 2 + (-1 + 0 + 3)*(3 + 2 - 3) + 0 + 1 + 1 - 1 + 4 - 4)*(-6*i**3 + 2*i**3 + 3*i**3).\nAnswer: 159*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 621 + -543.7. Let j = 69 - l. What is j rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 - -113. Solve s + 4 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/n**(4\/13)*(n**(-2)\/n*n*n)\/n*n*n**(3\/19) assuming n is positive.\nAnswer: n**(-284\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m - 12. Let c be b(10). Let x = 50 + c. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m - m - m + 12 - m. Let a be u(-12). Suppose -2*v + v + 14 = a. Solve 2*n = 4*q - v, -6*n = -n + 3*q - 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcddsyyr. What is prob of sequence sryk?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119655402.\nAnswer: 2, 3, 19942567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408 divided by -204.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 49 = 5*g + 5*m, 4*g + m = 38. What is the least common multiple of g and 41?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, a: 1, g: 6, r: 1}. Give prob of sequence ga.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -1 + 3 + 275\/(-70). What is the fourth smallest value in 1\/8, 1, y, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)**6)**(-1\/30)*(((f*f**(2\/5)*f)\/f)\/f**3)**(2\/53) assuming f is positive.\nAnswer: f**(-69\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240))\/sqrt(5) - sqrt(30)\/(sqrt(100)\/(sqrt(10)*-1)).\nAnswer: 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 9*w + 3*w + (1 + 2 + 2)*(2*w + 0*w - 3*w) + (4 - 2 + 0)*(-w + 3 - 3) + 4*w - 4*w - 2*w)*(11*w + 3*w - 3*w).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 406 = 1036. Let p = 1217 + w. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 0, -4, -8, -12, -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n. Let f be 3\/(-12) - 49\/(-4). Let o(u) = -8*u - u + f*u. What is o(y(v))?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((251 - -6) + -5). Is (-24)\/((d\/32)\/(-7))*-12 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or -0.034?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 118073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -0.5, 10 in ascending order.\nAnswer: -0.5, 0.09, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -86940 divided by 5?\nAnswer: -17388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, -4\/5, 1, -0.1.\nAnswer: -102, -4\/5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -27880143?\nAnswer: 4\/27880143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 762 + -765. What is the nearest to 25 in j, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.063 and 3?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 1 z when three letters picked without replacement from {e: 5, v: 8, j: 1, z: 2, b: 1}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0*y + 20. Let p = -685 + 770. Calculate the highest common factor of y and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1089665\nAnswer: -2\/1089665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 - -649. Suppose -10*w - y = -1215. Suppose w = 6*t - 320. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 3*w**2 - 9*w - 6. Let m be x(5). Let f(z) = 5*z**3 + 2*z**2 - z + 3. Let p(s) = s**3 - s + 1. Calculate m*f(i) + 3*p(i).\nAnswer: -2*i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 247374.0159 + -247272. Let g = v - 102. Round g to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:14 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12876a6 (base 12) to base 8\nAnswer: 15761436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4048\/1731 smaller than -21\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aujjjuxkxuxxjjjjjj. What is prob of picking 1 k and 1 x?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-118)\/(-3245)*1\/(1\/5).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v + 3. Determine y(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)*-1*11. Suppose 3*j = t + 4. Solve -j = -4*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuuuuuuuuuuuuj. What is prob of sequence uu?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 937570031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.179 - -73.179. Let i = b + -69. What is the biggest value in -0.09, 2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -242 - -241. Let l(b) = -770*b**3 - 3*b**2 - 2*b - 1. List the prime factors of l(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 at least as big as -627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -22bb677?\nAnswer: -22bb667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0, -0.4, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110001001101010110111 (base 2) in base 15?\nAnswer: -4d4233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65480)\/8200 + (-1 + -7)\/(-1))\/((-1)\/(-10)).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 15*f + f + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 - 4*i**4 + 3*i**4 + 56*i**3 - 56*i**4 - 56*i**3 + (-2 + 2 - 2*i**3)*(0 - i + 0) - i**4 + 0*i**2 + 0*i**2 + 0*i**4 + 0*i**4 - i**4.\nAnswer: -55*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:25 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2347 - 2351. Sort 7, y, -23 in increasing order.\nAnswer: -23, y, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53499?\nAnswer: 3, 17, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(-49) assuming a is positive.\nAnswer: a**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/161, -3\/5, -14303?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 0*a)*(1 + 4 - 3) - 3*a - 4*a + 4*a + (-3 + 4 - 3)*(2*a + 2*a - 2*a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n*n**9\/n*(n**0*n)**(3\/4)*((n\/n**(-3\/8))\/(n*n\/n**(3\/5)))**22 assuming n is positive.\nAnswer: n**(404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 516. Let z = 475 - q. Solve -2*y + 0*t + 5*t = -30, -5*y = -t - z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x - 3. What is t(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -936, -1217, -1684, -2343, -3200, -4261, -5532, -7019?\n\"Answer: -o**3 - 87*o**2 - 13*o - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 0.3 (c) 0 (d) 0.0348 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, -16, -65, -154, -295, -500, -781, -1150?\n\"Answer: -2*l**3 - 2*l**2 - l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*z + 3)*(3 - 2 + 1) + 0*z + 2*z + 0*z + z - 4*z + z)*(7 + 6*z**4 - 8 - 7*z**4).\nAnswer: -4*z**5 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/t**(-2\/9))\/t))\/t)**(6\/31))**13*(t\/t**0)**(2\/71)\/(t\/(t*t**(-1\/2))*t*t*t*t**(-2\/15)) assuming t is positive.\nAnswer: t**(-85787\/22010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*j + 178. Let d be (j\/15)\/(-1) - 2. Let m be 30\/8*(-32)\/80. Which is the nearest to 1? (a) -1\/4 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32211 (base 5) to base 11.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1859)\/(-91) + 6\/(-14). Let g(p) = -p**2 - 10*p - 12. Let s be g(-8). Calculate the greatest common factor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400 + 4780 + 2*x + 3660 - 2*x**2.\nAnswer: -2*x**2 + 2*x + 8840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2603*a + 84. Let j(d) = -296742*d + 9590. Give 6*j(l) - 685*s(l).\nAnswer: 2603*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1817 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/227, -3, 10, 3, 0 in descending order.\nAnswer: 10, 3, 4\/227, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.19, 0.5, 4, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 6*k**3 + 6*k**3 - 8*k**4 + 5*k + 2*k**5 - 8*k**2 - 3*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-224)\/(-392))\/((-36)\/(-14)))\/((506\/297)\/23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - h**2 - 3*h**2 + (-h**2 - h**2 + 0*h**2)*(2 - 5 + 1) - 273*h**2 + 1820 - 1820 in the form v*h + b + f*h**2 and give f.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 1, h: 1, m: 1, z: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*m + 105 = -166*m. Calculate the lowest common multiple of m and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147490121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*y + 809 = -450 - 1093 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 x when four letters picked without replacement from xexexxxxxxxxexxexxxx.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.999888 - 10. Round l to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 2116*l - 2751*l + 1592*l.\nAnswer: -3275*l + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 17 + 79. Suppose -j = -4*l + 4*o, 4*l - 48 = -0*o + 2*o. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a**4\/9 - 51760*a**3\/9 - 6985414*a**2\/3 - 20801122*a\/9 + 41809156\/9 = 0 for a.\nAnswer: -3233\/4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -599736 (base 11) to base 7.\nAnswer: -11034233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155523 (base 7) to base 3.\nAnswer: -1120020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 361497599, 361497601, 361497603?\n\"Answer: 2*k + 361497597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 6*s. Suppose -1 = 2*j + 3, -3*k - 4*j - 2 = s. Let t = -4 + 18. Solve 0 = k*l + l + x + 2, l - t = -4*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-12*(-14)\/120.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(153)\/sqrt(144) + -1 + (-3*sqrt(102))\/sqrt(6))**2.\nAnswer: -2201\/8 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (46684\/(-55))\/(5*9\/(-450))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/24 - 2*j**3 + j**2 - 128. What is s(-19)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -3. Let t(b) = -27*b - 5 + 58*b - 13*b - 23*b. Let j = -10 - -5. Let x(i) = 9*i + 9. Give j*t(o) + u*x(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*m = 2*m, -2*m + 18 = -5*r. Let s be 5*(r\/((-3)\/(-3)) - -3). Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h + 15*h + 2*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 8*u - 4*a - 36, -3*u = -5*a - 13. Let c(g) = g**3 - 4*g**2 - 6*g + 9. Let y be c(5). Let m be (-35)\/7*((-34)\/(-10) + -1). Sort m, y, u.\nAnswer: m, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 + (78 - (70 - 39)) - (-2 - 1)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 12, t: 2, i: 4, f: 1}. Give prob of picking 2 w and 1 f.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j - 51*j - 5940 = 0. Let u be 15\/(-50)*j\/(-72) + -1. Which is the second biggest value? (a) u (b) -2 (c) -0.2 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91572 divided by -17?\nAnswer: 91572\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7022, -7026, -7032, -7040?\n\"Answer: -p**2 - p - 7020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 527605 - -228?\nAnswer: 527833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-7))\/(-7*(-12)\/28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0\/3)\/(-2)*-1. Let l = 4 + d. Suppose 5*a - l = 8. Sort 10, a, 4 in increasing order.\nAnswer: a, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51613\/17046 + 1\/11364. Find the common denominator of c and -99\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = 13*x - 310. Let z = 48539\/30 - 1616. What is the common denominator of z and x + (-164)\/(-42) + 6 - 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4708.5 and 13.\nAnswer: 61210.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*c + 6, 0 = -2*l - c + 2 - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99604.5l to millilitres.\nAnswer: 99604500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, -5.3, 0, 47, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8824\/136 - 4\/(-34) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12992543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-322)\/69*(-60)\/35*3\/(-8)*-1. Let y be (-100)\/(-6) - 4\/6. Solve -l*a = 1 - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 + 54\/(-9) + 189 is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5982 (base 12) to base 11\nAnswer: 75a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2a?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-52)*(-33)\/((-33)\/14).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 - 34*p - 283. Is h(46) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5040199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -20 + -2 + 6 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 - 4*o + 1. Let a be l(5). Let r be a*(5\/2 - -2). Is 1815\/r + 2\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 12 + 28. What is the common denominator of -32\/3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124 and 114763457?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 9962.033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1750 divided by 14\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 847582825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 2:29 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**4 + 125*m**2 + 123*m + 30.\nAnswer: 72*m**2 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 96 = j. Let v be (4 - 2)\/((-1)\/6). Let k = v + j. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*r + 12 = 0, -22*w + 6 = -20*w - 3*r. Solve -n = -w*i - 17, 3*n - 7*i - 31 = -2*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111969 is divided by 3497.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111 + (-4 - (-4 + -5)). Let w(k) = k**3 - 18*k**2 + 7*k + 19. Let x be w(18). Calculate the greatest common divisor of n and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277382 + -7.893?\nAnswer: -277389.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 80. Let c(d) be the second derivative of 0 + 0*d**2 - j*d + 1\/6*d**3. Let g(i) = 2*i. Calculate c(g(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1642, 1725, 1828, 1945, 2070, 2197, 2320?\nAnswer: 2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6905\/3 - -2249. Let k = w + 53. Factor -k*d**4 + 0*d**3 + 0*d + 0 + 1\/3*d**2.\nAnswer: -d**2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 less than 524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (286\/(-91))\/(-11) + 158\/(-14). Let d(k) = -7*k**2 + 4*k - 3. Let l(f) = 20*f**2 - 12*f + 8. What is s*d(z) - 4*l(z)?\nAnswer: -3*z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -5\/2161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 43 + 26*l**2)*(-4 + 0 + 3) + (0 + 0 - 1)*(2*l**2 + 2*l**2 - 3*l**2 + (-2*l**2 - l**2 - 7*l**2)*(1 - 3 + 0)).\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*o + 553550 + 59*o - 553550.\nAnswer: 123*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -248 - -109. Let z = 201 + a. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/((-2)\/(-20)). Let l(g) = g**2 + 22*g + 26. Let d be l(-21). Solve -5*s + b + 17 = 2, f*s = d*b + 35 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/40 + 8\/(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*f - 17 = 0, -3*f + 12 = -f. Calculate the lowest common multiple of v and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/3 (b) -6 (c) -0.5 (d) 32 (e) 2 (f) 27 (g) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*p + 3*p - 4*d, 3*d + 9 = 2*p. Suppose 2*w + 5*i - 25 = w, p*i = w + 7. Suppose 109 - 90 = c. Calculate the remainder when c is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17940\/920)\/(3\/4)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3 + 910\/(-98)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 2. Let j be (0 + 6)*(-17)\/34. Let b be p(j). Suppose b*k - 4 = 8*k. Is -1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1429.\nAnswer: 2\/1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/4, 116\/5, 9524?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 5, 1188 in decreasing order.\nAnswer: 1188, 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, -3\/8, -0.2 in ascending order.\nAnswer: -5, -3\/8, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -416*i*k**2 - 1224*i*k - i + 2*k**2 - 105831 wrt i?\nAnswer: -416*k**2 - 1224*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37a20 + -3?\nAnswer: -37a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 14) + 14 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352*x - 1355*x - 19 = -h, -21 = 3*x - 3*h. Let r(u) = u**3 + 7*u**2 - 5*u - 19. Give r(x).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -403, -573, -397, 299, 1689?\n\"Answer: 29*y**3 - y**2 - 370*y - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 80 = -3*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76713764 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1024, -1, 0.1, 22, -0.02, 4\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 y when three letters picked without replacement from dyyyydyydyyyyyyy?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 0*b**2 - 9*b**2 + 10*b.\nAnswer: -8*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 + 40444*f**2 - 808868*f\/5 + 808864\/5.\nAnswer: -(f - 202216)*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/612374 and -111\/2737672.\nAnswer: 46540424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, -263 in decreasing order.\nAnswer: 14, -2, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:21 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**3 + 76*g**2 + 100*g + 32 = 0.\nAnswer: -8, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 528724205.751 + -4.\nAnswer: 528724201.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-38001)\/(-901) + (-55)\/119\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5409 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2\/(32\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 143476612 divided by -1\nAnswer: -143476612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/120 - k**5\/30 + k**4\/12 + 2*k**3\/3 + 58*k**2. Let m be x(-2). Solve 0 = -m*h - 3*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2356*a = -2349*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 + 146*n + 108*n - 13*n**2 - 254*n. Let m(g) = -4*g**2. Give m(j(q)).\nAnswer: -676*q**4 - 312*q**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 4*g - 58. Determine l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4268 and 13\/40?\nAnswer: 42680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*w + 20 = -296. Let k(o) be the first derivative of 0*o**2 + 1\/6*o**3 + 1\/24*o**w - 2\/3*o - 25. Solve k(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 18. Suppose 5*l + 11 = -n. Let o(d) = -12*d**3 - 12*d**2 - 5*d - 3. Let j(u) = 5*u**3 + 6*u**2 + 2*u + 1. Let w(h) = 5*j(h) + 2*o(h). Give w(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/203 and -52\/3.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 44. Suppose -114 = -44*b - 26. Solve b*o = -j + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12*r*r\/(r\/r**(-11\/3)))\/(r*(r**3*r)\/r*r)**(-5\/14) assuming r is positive.\nAnswer: r**(467\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -14*i**3 + 2*i**2 + 2*i + 2. Let z be s(-4). Find p such that z*p**2 - 10*p + p - 9*p**3 + 6 - 946*p**2 = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 1. Suppose -1 = -p + 10. Calculate the remainder when f(6) is divided by p + ((-15)\/5 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 12 = -2. Let c be 3 - (-5 - -3)\/x. Factor 0*h**c + 5 + 2*h - 1 - 5 - h**2.\nAnswer: -(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 15*d**2 - 8*d - 79. Give v(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-57)\/(-38)*12\/2. Suppose 7*y + 4 = o*y. Suppose -7 = -y*l + x, -l - 2*x + 10 = 4. Solve 0*u - l*u - v = 2, 3*u = 5*v + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o - 24*o)*((-2*o + 2*o + 2*o)*(-2 + 2 - 3*o) - o**2 + 0*o**2 - o**2).\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5002, -6, 4\/5, 1.7 in ascending order.\nAnswer: -6, -3.5002, 4\/5, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7964.455ml?\nAnswer: 7.964455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cee when three letters picked without replacement from cececcc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 22138.\nAnswer: 110690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*t + 6*t - 4*t)*(12 - 12 + 11*t) + t**2 - 3*t**2 + 3*t**2)*(-29*t**2 + 20*t**2 + 24*t**2) in the form n*t + l*t**3 + z*t**4 + c*t**2 + x and give z.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 145?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-226 + 538 + 492)*(4*m - 2*m - m).\nAnswer: 804*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (890\/50 + -18)*-55. Calculate the greatest common divisor of 20977 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 10 + 4 = 0. Let w(x) = 0*x - 2*x + c*x + 2*x. Let i(m) = 0*m + 2*m - 5*m. Calculate i(w(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 633 - 113 = 0. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 2:49 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 384*c**3 - 221184*c**2.\nAnswer: 4*c**2*(c - 288)*(c + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 5. Let x be t(-3). Factor p + 3*p**4 - p - 15*p**3 - 3*p**x + 12*p**3 + 3*p**5.\nAnswer: 3*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 16*k + 7 = 0. What is the highest common divisor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146075\/3 - 49378. Let b = 677 + s. Find the common denominator of b and (6\/(-10))\/(3\/(-38)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a - 1 - 3*a**2 - 5 + 3 - 4*a. Let h = 16 - 15. Let j = h - 3. Calculate v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -41?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = 9*r - 10*r - 11, 3*c = -5*r + 11. Let k(u) = u**3 - u**2 - 3. Let j be k(0). Sort -4, c, j, -1 in descending order.\nAnswer: c, -1, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 1417685*y**2 + 1417662*y**2 - 15*y.\nAnswer: -23*y**2 - 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 9*m**2 + 0*m - 6*m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 64*a + 40. Let f be g(28). Let x = 1093 - f. What are the prime factors of x?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -k*d + 6 = -0*d. Solve -5*c + d + 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:47 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 2*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(55\/11))\/(9\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000 - -10011011000?\nAnswer: 10111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2*f - 3)*(0*f**4 + f - 2*f**4 + f**4).\nAnswer: 2*f**5 - f**4 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*a - 3*t - 2, -a - t = -6. Suppose 4*f + 12 = 4*s, -f = -2 - 3. Let x = 8 + -4. Solve 0*z + a*w = x*z + 8, 4*z = -2*w - s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4 - 8*k**3 + 12851*k**2 + 604878*k + 2213640 = 0. Calculate k.\nAnswer: -78, -55, -4, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 61*l**2 + 6*l - 30. Is x(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5703384 millennia to centuries.\nAnswer: 5.703384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*m = 808*m + 23951 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/31)*g\/((g**(2\/21)*g)\/g)*(g\/g**(-2\/23))\/(g\/(g\/(g*g**10))) assuming g is positive.\nAnswer: g**(-133915\/14973)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5 - 3\/15. Suppose t = m - 6*m + 25. Suppose -2*k + k + 5 = -f, 5*f - 75 = -5*k. What is the highest common divisor of m and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**4*p - 4821*i**2*p - 2355*p - 62 with respect to i.\nAnswer: 12*i**3*p - 9642*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 0*h + 870 = 0. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 982 + -684. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8974820 and 2560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 6*x**3 - 10 - 40*x**3 + 15 wrt x?\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5935, -5941, -5973, -6043, -6163?\n\"Answer: -2*t**3 - t**2 + 11*t - 5943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257120110 - -6?\nAnswer: -257120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tfns when four letters picked without replacement from ftsfdntddfd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 589769 + 131389 = 0. Is b a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.9 - 0.9. Let o = a - 6. What is the nearest to 0.1 in o, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -17. Suppose -5*x + y + 19 = 0, -2*y - 27 = -p*x + y. Factor 2*v**x - v**5 - v - 351 + 351.\nAnswer: -v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(68)\/sqrt(4)*-6 + 1 - ((6*(sqrt(17) - (sqrt(17) + -1)) - (sqrt(272) + -5)) + 4)**2.\nAnswer: -495 + 114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -0.075, 1\/9, -31\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j - 14. Suppose 26*u + 38 + 40 = 0. Let p be q(u). Which is smaller: -11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*k**6 - 18244*k**3 - 1625429*k**2.\nAnswer: 3360*k**3 - 109464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 1169*c**6\/30 + c**4\/6 + 2*c**3\/3 + 333*c**2\/2 + 4837*c. What is the third derivative of w(u) wrt u?\nAnswer: 28056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {g: 4, c: 6, n: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1631041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.46333mg to tonnes.\nAnswer: 0.00000002346333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -253 + 477. Let x = 266 - y. Calculate the remainder when 153 is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2614 and -294?\nAnswer: 768516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -332557, 1 in decreasing order.\nAnswer: 1, -2, -332557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 318\/(-9). What is the common denominator of 6*(-3)\/(-18)*13\/(-7) and (-1)\/((-1)\/(z - 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 82913281.\nAnswer: 580392967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/1*2)\/(-2). Let y(w) = w**2 - 4*w + 3. Calculate y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, 0.5, 3\/2, -5, 1017 in decreasing order.\nAnswer: 1017, 3\/2, 0.5, -2\/31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 668822 and 5918?\nAnswer: 179913118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.257067458 - -0.174439\nAnswer: -0.082628458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*s + 38. Let j = -12 + s. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 0 + 0 + a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6 + p + 1 + 0*p - 2*p. Let m be n(3). Solve -2*a + m*o = -7 - 11, 5*a - 3*o = 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 9) in base 15?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + 1. Is w <= -22\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53642304 divided by -74?\nAnswer: -724896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -9 - 9. Suppose 0 = 4*s - 2*s - h. Let r = 12 - s. Solve r*v + 6 = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*p = 24*p + 26*p + 25*p + 500 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0+-29819\nAnswer: -29819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.5, 12, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -5 (c) 9\/40 (d) 23 (e) -0.2 (f) 22\/21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 220.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -b + l, 3*l - 32 = 4*b. Let k = b - -9. Let i(p) = 2*p**2 + 4*p + 3. List the prime factors of i(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-66)\/(-44)*2212\/6.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/10200 and 19\/240.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19447 is divided by 3889.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 divided by -5182?\nAnswer: -55\/2591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -10295\/44. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1392, -2725, -4032, -5307, -6544, -7737, -8880, -9967?\n\"Answer: o**3 + 7*o**2 - 1361*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -43. Let w = 10 - 6. Solve j = -w*j + o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*d + 1 + 8 = 0, -4*d = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y - 2*y)*(-5 + 4 + 2)*(-3*y + 3*y + y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8598702?\nAnswer: 2, 3, 7, 17, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/545 and -57\/20.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5571 + 0.0571. What is the closest to 0 in 3, c, -0.07, -1\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 19 = -4*g, 40 = 3*g - 7767659*v + 7767655*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 + (-10)\/(-35). Suppose -97 = -5*p - 3*w, h = w - 0 - 4. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**5\/240 - i**4\/32 + 6*i**2 + 10. Let j(m) be the second derivative of z(m). Determine g, given that j(g) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 104868.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 23*f\/4.\nAnswer: -f*(f + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/8 - 1523*c**2. Let g(y) = -19*y. What is -6*g(m) - 34*n(m)?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, -1027, 0, 5, 162 in ascending order.\nAnswer: -1027, 0, 1, 3, 4, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5091 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 10*p**2 + 12*p + 7. Let i be n(-11). Let r be i\/(-24) + 105\/18. Differentiate -10 + 6*l + r*l - 15 + 13 with respect to l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaaoooaaoa. What is prob of picking 4 a?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a + 305 = -391*y + 387*y, -7*y + 2*y = -a + 3 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 + g - 4. Let i(z) = -5*z**3 + 6*z**2 + 6*z - 24. Let k(f) = -6*d(f) + i(f). Solve k(u) = 0 for u.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v + 15*v - 1716 = -372 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 23*a - 171. What is the tens digit of x(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*-3*6 - sqrt(198))\/sqrt(11))**2.\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/691560 and -103\/14552?\nAnswer: 73996920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/2)\/(w**(-5)*w*w)*w**(-2\/3)*w*w\/w**(-4\/7) assuming w is positive.\nAnswer: w**(143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1730, 4, -28 in descending order.\nAnswer: 4, -28, -1730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*c - 32*c. Solve 0 = -c*a + 3*a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 976 + 1024 = -169*m - 704 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -44, 3, 704 in decreasing order.\nAnswer: 704, 3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 + (1 + -7 - 5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*s - 51*s + 12710 = 106*s for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 929719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from oeooeeeeeoe?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 491 and 1958108?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1653 times 10.46\nAnswer: 17290.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1541\/1115 + -4\/223. Let u = 3 - 0. Which is the biggest value? (a) k (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2139 - 382101.\nAnswer: -384240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(112) + sqrt(112) - (-4*(sqrt(112) + -3) + sqrt(112)))**2.\nAnswer: 1344*sqrt(7) + 22096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - u = u + 12, 3*p - 7 = u. Suppose 3*t + 0 = 3. Is p*t*-53*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let j be l(4). Suppose 0 = -j*y - 74 + 1674. What is y rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:18 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7257?\nAnswer: 3, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.1 + 1.9. Let i = -8 + c. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3898, 7, -3 in ascending order.\nAnswer: -3898, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433917 is divided by 97.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112066677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 2 - o + 1)*((2 + 1 - 5)*(36 + 25 + 45) + 4 + 0 - 2) + 2*o + 0 + 0 to x + c*o and give c.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 4. Let p be y(-7). Suppose -2 = -5*o + p. Is -3\/16 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 10. Let p be t(12). Let h(r) be the first derivative of -p + 2*r + 2\/3*r**3 - 3\/2*r**2. What is h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213926 = 34*q - 216374 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 500*p + 772. Does 7 divide l(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -6 + (-19 - -36).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*t**4 - 3)*(41*t + 530*t + 178*t).\nAnswer: -2247*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 + 2 + -6). Let m = 13 - 12. Does q = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k. Let a(n) = -n + 7. Let s be a(4). Let q be c(s). Suppose 9 = q*r, 0*g - 2*g + r = -87. What is g rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -236 + 167. Let x = o - -115. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1392, -7, -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -228*m + 232. Let l be c(1). Solve 0 = -3*d + l*d + 3*s - 20, 3*d + 4*s = 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -16*j + 2*d - 186, -5*j + 891 = -3*d. Calculate the highest common divisor of j and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/53 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = 15*f + 140. Let k(a) = -2*a**2 + 9*a - 24. Let w(j) = -10*j**2 + 46*j - 118. Let u(p) = f*k(p) - 6*w(p). Factor u(n).\nAnswer: 4*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/37)*x\/(x*x**(-1\/25)\/x))**(-3\/8) assuming x is positive.\nAnswer: x**(-759\/1850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 361376.\nAnswer: -1\/180688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (896 - -2)\/((-15)\/6 - -3). Suppose 2*c - q = 8*d - 3*d, 5*c + 4*d = 4457. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75423*v**3 - 69441*v**3 + 170654*v**3.\nAnswer: 25790*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 - 40*y**2 - 95*y - 10. Calculate j(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) - 990\/(-121). Suppose -5*p + w = -32. Let s be 0 + 0\/1 + 1. Calculate the highest common divisor of s and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(102) - sqrt(102)*3))\/(sqrt(294) + sqrt(294) + 1*sqrt(294) + sqrt(294)).\nAnswer: -sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49275, 3, -2 in descending order.\nAnswer: 3, -2, -49275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = 2*j - 302, h + 5*j = 53. What is the remainder when h is divided by (-16)\/(-3)*(7 + (-8)\/2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 35.59495?\nAnswer: -2.847596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -134 + 132. Does 13 divide (-1)\/(p - 1165\/(-585))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*p - 86*p - 74 - 84*p wrt p.\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 6. Let y be v(-4). Let s = 0.25 - 0.15. What is the smallest value in s, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847) + sqrt(847))*3 - (5 + (2*sqrt(847))**2).\nAnswer: -3393 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**3 + 63430*f**2 + 1397275*f + 7688340 = 0.\nAnswer: -11, 12708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91 by -86.\nAnswer: 91\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 915228953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*w - 11, 0 = -w - 3*q + 23 + 18. Let x(i) = 24*i + 2. Calculate the least common multiple of x(6) and w.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 7 - 3. Suppose -5*w + 96 = -w. Suppose -n + 3*j + 14 = 0, -4*j - j = -2*n + w. Calculate the remainder when n is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 93986*b**3 + 19008*b**3 - 375 + 137 + 95)*(-3 - b + 3) to the form z*b + s*b**4 + h*b**3 + j + d*b**2 and give s.\nAnswer: 74978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -182100000 rounded to the nearest one million?\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 12 - 19\/2*n**2 - 4*n - 5\/3*n**3. Let o(s) = 1. Let j(i) = -4*o(i) - y(i). What is the second derivative of j(q) wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, -14.4, -9\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 459761 by -1.\nAnswer: -459761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 33*t**2 - 55*t - 38. Is n(35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*t - 820, -5*t = -4*l - 0*t + 860. Calculate the remainder when l\/((-6 - -8)\/2) is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 374, 468, 634, 896, 1278, 1804?\nAnswer: 2498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 288, 2\/11, 4, 15\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9371.945 days?\nAnswer: 809736048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5aa17 (base 11) to base 16\nAnswer: -156bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 29.15. Let u = c - -0.15. Let h = 32.67 - 0.67. Is u != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i + 5*i - 2*i)*(2 - 2 - 2*i) - 3*i**2 - i**2 + 8*i**2 - 20*i**2 + 26*i**2 + 84*i**2 to the form l*i + b*i**2 + q and give b.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3188\/11 - -290. Let d be 8\/(-44) - (-25406)\/(-143). Let q = d - -178. Which is the third biggest value? (a) q (b) -3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/9, -0.4, -1.8, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**29*m**(-5\/3) assuming m is positive.\nAnswer: m**(85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 7*u**2 + 10*u + 7. Give r(-7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 128*o**2 - 3516*o - 1914. Calculate n(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 = -r - j, 4*j - 4 = 5*r. Factor -4\/5*z - 2\/5*z**2 + r.\nAnswer: -2*z*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4749*i + 10487. What are the prime factors of a(-10)?\nAnswer: 57977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23c9 (base 15) in base 14?\nAnswer: -2abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, -6, -1\/2 in descending order.\nAnswer: 4, -0.3, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 9:58 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 26*l. Let s = 103 - 99. Let b(g) = s*g**2 - 5090 + 5090. What is b(v(z))?\nAnswer: 2704*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:07 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -2, 182, 0 in decreasing order.\nAnswer: 182, 39, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 25*v + 5. Let z be m(25). Let x = 1 + -1.01. Let q = -0.01 - x. Which is the closest to q? (a) 0 (b) 0.2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 15*y - 7. Determine w(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135.7 and 3?\nAnswer: 407.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041222324 (base 6) to base 9.\nAnswer: 23165577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y\/(y*((y*y**(-2\/21)*y)\/y)\/y))\/y))**14*y*y*y\/y**(6\/11)*y\/(y**(-5\/7)*y*y*y) assuming y is positive.\nAnswer: y**(3196\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -170a39 (base 13) to base 8.\nAnswer: -2137036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48729606 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: List the prime factors of 126958640.\nAnswer: 2, 5, 31, 51193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1 (c) 2 (d) 14 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222021 - 12?\nAnswer: 2222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 400447, 1 in ascending order.\nAnswer: -2, -1, 1, 400447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from wrwrwwwrwwwwwww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*s - 3*k, k + 1834 = 5*s + 1837 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9500 at least 32831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/((j\/j**(-6))\/j))\/j)*(j\/(j\/((j**(-1\/3)*j)\/j*j)))\/j*j*j**(4\/9)*j*j**4)**(-2\/11))**17 assuming j is positive.\nAnswer: j**(-4012\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.6 - -65. Let j = y - 4.8. Let k = 1 - j. What is the biggest value in -1\/5, k, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2.25\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351*s + 856 = -548. Solve 9*b + 4*p + s = 11*b, 4 = b - 4*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183\/1054 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {i: 1, m: 2, n: 2, o: 4, g: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 6\/(-28) - (-21)\/14. Let k be 4\/(-8) - (-2)\/(-2). Sort 3, k, j in descending order.\nAnswer: 3, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -5055484\nAnswer: -1011096.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/780 and 71\/10?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x**2 + 29*x - 36. Let w be t(4). Put -2, w, -5 in descending order.\nAnswer: -2, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let d(a) = -19*a. Calculate t(d(r)).\nAnswer: 722*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14 - 4*v**3 + 6*v**2 - 73*v + 71*v + 3*v**3. Let k be q(6). Solve -4*z - 4 = -2*b + k, -6 = -z + 3*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56965*r + 79453 with respect to r.\nAnswer: -56965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 5*p**2 + 3*p - 4. Let z be k(-2). Let w(x) be the second derivative of 0 - 49\/10*x**5 + x + 8*x**3 + 4*x**z + 7\/2*x**4. Solve w(i) = 0 for i.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*19*1. Let g be ((-1)\/(-2))\/((-5)\/170). Let t = g + b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (-9 - -16) - (0 + 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -31 (b) 0.4 (c) -3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8 - 36*k + 0 + 5*k**2 + k.\nAnswer: 5*k**2 - 35*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let t(b) = -34*b - 1. Let n(l) = 22*l + 1. Let w(p) = -8*n(p) - 5*t(p). Is w(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)\/c)**(4\/43))**(-13) assuming c is positive.\nAnswer: c**(26\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -167 + (58 - -101) + 32 + -1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*v - 51 = 74, -5*v = 25. Suppose i = 2*m + 11, 0*i + 6 = -m + i. Let s be ((-6)\/8)\/(m\/20). What is the greatest common divisor of s and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -2813.\nAnswer: -2812.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44204 is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -3*(0 + sqrt(162)) + sqrt(162))*-4 + -4 + (1 + 1 + sqrt(162) + sqrt(162) - sqrt(162)))**2.\nAnswer: -180*sqrt(2) + 4054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101122130 - 3?\nAnswer: 101122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -513*h - 76. Is k(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 8 (c) 31104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d. Let j be (-96)\/(-18) + 1\/(-3). Suppose -2*c + 4*s = -j*c + 19, c + 19 = 5*s. What is p(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 1324?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 64. Let d be t(10). Let x be ((-2)\/d + 0)*9. Factor -1\/2*v**2 - 3\/2*v**4 + 5\/2*v**3 + 0*v - x*v**5 + 0.\nAnswer: -v**2*(v + 1)*(3*v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220012020210 + 101?\nAnswer: -1220012020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - 0) - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Suppose -3*b - 4*x + 26 = 0, -2*b + m*x = 5*x - 29. Suppose 2*s - 4 = 0, 2*p - b*s = s. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/962)\/((-32)\/156)*-2*(-1)\/24.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -9984, -1\/46, 8 in decreasing order.\nAnswer: 8, 1\/12, -1\/46, -9984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*n - 6340 + 6472 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.7 - 28. Let m = 0.6 + -0.3. Let i = 3.7 + m. Sort -5, z, i in increasing order.\nAnswer: -5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2. Let y(d) be the third derivative of d**5\/60 - d**4\/4 + 7*d**3\/6 + 3*d**2. Let u be y(5). Let p(r) = 2*r - u*r + r. Calculate p(c(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12975069, 12975070, 12975071, 12975072, 12975073?\n\"Answer: p + 12975068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 17*y**8\/168 + y**7\/210 - y**5\/20 + 3*y**2 + 12. Find the third derivative of g(i) wrt i.\nAnswer: 2040*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 5, -1, 86 in increasing order.\nAnswer: -1, 5, 28, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 62001.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -152*r**3\/3 + 37*r**2\/2 - 78. What is the second derivative of z(f) wrt f?\nAnswer: -304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/5)\/y*y*y**(-2\/7)*y*y*y\/(y\/(y\/y**2))*y*(y\/(y\/((((y\/y**(-2\/15))\/y*y)\/y)\/y)))\/y assuming y is positive.\nAnswer: y**(68\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 652632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-315)*-10*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - -1*sqrt(18))*-6)\/((sqrt(9) + sqrt(18)\/sqrt(2))*-1).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -85426.22 times 0.74\nAnswer: -63215.4028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 33. Suppose x*r - q - 93 = -r, 0 = -r + 3*q + 39. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 47334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + 3 - (1211 + -1226).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (-99)\/27)\/((-12)\/(-9))\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*6*2\/(-4). Let y = 3876.2 - 3876. Which is the nearest to 1? (a) y (b) q (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17 - (24 - 45)) + 15. Suppose 2 = -u + 306. What is the greatest common divisor of u and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1449302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244.5277 - 243.53. Let i = 3.1 + -4.1. Let n = z + i. Round n to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12409680 divided by 12.\nAnswer: 1034140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3\/4 (b) 0.4 (c) -338 (d) -0.11 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**5\/3 - 324*q**4 + 22708*q**3\/3 + 19693688*q**2\/3 + 417116126*q + 22871436196\/3 = 0.\nAnswer: -49, 262, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7276 + 7279. Let c(x) = 5*x - 2. What is the least common multiple of c(2) and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + (2 + (-36)\/54)*(-3)\/(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000290641 to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*u = -30, 39*l - 44*l + 4*u = 50. Let i be (l\/5)\/((-1)\/2). Let w(n) = 4*n + 1. What is w(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*l**3 + 126*l**3 + 137*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*-1)\/sqrt(3) + -4 + (sqrt(45)*4)**2 + 2*sqrt(5)*3.\nAnswer: 3*sqrt(5) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/((-7905)\/17))\/((-6)\/(-12))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 19 - 7 = 0. Suppose 2*b - 4*a + h = -7, 5*a = 5*b. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98.55 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*m**4 - 465*m**2 + 41017 wrt m?\nAnswer: 56*m**3 - 930*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 2391\/6328 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*p - 1558 = 0, -46*d - 925 = -49*d + p. What is the least common multiple of 75 and d?\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12211014 (base 5) to base 12.\nAnswer: -57428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i**5 - 322*i**4 - 1053*i**3 - 206*i**2 + 404*i - 72 = 0.\nAnswer: -2, -1, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -1\/3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 4. Give n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 97*r - 525. Let g be o(102). Which is the closest to 0? (a) g (b) -0.3 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5765685\/152 - -37934. Let p = i + -52\/19. What is the common denominator of p and 43\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4576*h - 247*h - 1719 = 17604 + 4792 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/6 + 4*p**2 + p. Let o(a) = 20*a - 127. Let r be o(6). Let m be (-6)\/(r + 19\/3). Determine f(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(637) - (1 + sqrt(637))**2) - sqrt(637) - sqrt(637)) + -1.\nAnswer: -639 - 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*o**2 - 11*o**2 + 15*o**2 + 59*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1 - (-7)\/6). What is the units digit of 4\/o + (-122)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -431*g + 432*g - 17806. What are the prime factors of g?\nAnswer: 2, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 - 9 = -18*j. Suppose -2 = 2*l - j. Suppose -3*d + 16 = 5*p, l*d = 4*d - 3*p. Sort 4, -2, d in decreasing order.\nAnswer: 4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5\/15 + 2*n**4\/3 - 2*n**3\/5 - 2*n**2\/3 + 8*n\/15 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 1, e: 3, t: 1, i: 4}. Give prob of picking 1 v and 1 t.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -107*d + 3322. Let t be n(28). What is the greatest common divisor of 1467 and t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7956 and 4028609?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71.25 - 5.2711769.\nAnswer: 65.9788231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(2\/9)\/q*q**(-1\/2)\/q)\/(q*q*(q*q*q**(2\/5))\/q*q*q)**7)\/(((q\/q**6)\/q*q)\/q**(-10\/9))**31 assuming q is positive.\nAnswer: q**(7513\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouoouuo. What is prob of sequence uuu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -67*w. Let n(c) = c + 2. Let x(l) = -3*l - 7. Let v(z) = -14*n(z) - 4*x(z). Calculate v(u(f)).\nAnswer: 134*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/225 and 2\/20165.\nAnswer: 907425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 35*z + 83. Let j be q(15). Solve j*g + 847 - 799 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2)\/9 - -78*(-22)\/2079*-119 and 980.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) -3 (c) 0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26643*v**3 - 150*v**2 - 12529383.\nAnswer: 79929*v**2 - 300*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q + 1. Let d be k(0). Let h = d - -4. Suppose 0 = -h*b, 0*b - 2*b + 6 = 2*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -4 - 2231\/(-207)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 760 and 45?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(2870*w**3 - 14479*w**3 + 5615*w**3) + 2*w**3 - 3*w**3 - w**3.\nAnswer: 5992*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**2 - 518*a - 6658. Calculate r(-23).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -2 - (-14 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*s - 4. Let z(y) = -4*y + 6. Let v(m) = 3*m - 4. Let j(l) = -3*v(l) - 2*z(l). Let k(i) = -7*i + 2. Calculate s*k(w) + 6*j(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 132336?\nAnswer: 132332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071\/99 + 5 + (-22)\/(-121)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -984339 from -1.\nAnswer: 984338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51478 + 51515.949. Let y = a - 38. Let c = y + 0.050965. Round c to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) - (-3)\/(210\/76). Sort n, 2\/9, 1, 0.1 in decreasing order.\nAnswer: 1, n, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1914 + j**2 - 532*j - 3*j**2 - 1914)*(17 + 14 - 7).\nAnswer: -48*j**2 - 12768*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -9*d + 502. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -281 + -19465043.\nAnswer: -19465324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1684*v**2 - 131361*v + 705. Give r(78).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-3*a + 3*a + 5*a**2) + 4*a**2 - 5*a**2 + 2*a - a**2.\nAnswer: -7*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 - -389 - (-2 - 2 - (9 - (4 + -2)))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of o**5\/20 - 3*o**4\/4 - 11*o**3\/6 + 19*o**2\/2 - 193*o. Determine w(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -2*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-8 - -4) - -30 - 22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 56.29. Let a = 1108 + -1108.79. Let t = a + d. Put 0.05, t, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.05, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 17, 34, 67, 122, 205, 322?\n\"Answer: g**3 - g**2 + 3*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 81*t**4\/5 - 2112*t**3\/5 + 11091*t**2\/5 + 12312*t\/5 - 972\/5 = 0?\nAnswer: -1, 2\/27, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10300250 (base 7) in base 12?\nAnswer: -361a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4291 - -4354. Is o != 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6508?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134068.\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88)*-1 + sqrt(88) + sqrt(88))\/((sqrt(56)*2)\/sqrt(7)) - 6*(-4 + -2 + sqrt(396)))**2.\nAnswer: -2592*sqrt(11) + 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/20 - (15\/50 + (-64)\/160).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036576 rounded to 5 decimal places?\nAnswer: -0.00366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -7*r**2 - 38217*r - 38214. Calculate f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 29*g**2 - 32*g + 86. Let q(o) = 3*o**3 + 86*o**2 + 97*o - 258. Let m(z) = -6*q(z) - 17*x(z). Let r be m(-21). Solve 4 = r*u - 0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k - 4*a - 9, -2*a + 6 = 2*k. Let y(c) = c**2 - c + 2. Suppose 0 + 25 = 5*b. Let u(r) = -r**2 + r - 1. What is b*u(z) + k*y(z)?\nAnswer: -2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 9.5. Let k = 7.07 - 0.07. Let r = -7.2 + k. What is the second smallest value in p, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 10:06 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*u - 306 + 1518, 1 = -u. What is the highest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 193. Let y = 0.11 - -4.89. What is the nearest to w in -4, 4\/7, y?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 48. Let l be v(0). What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a*o**3*r + a*o**3 - 6*a*o**2*r + 12*a*o*r - 20*a*r + o**3*r + 9676*o**3 - 2*o**2 + r - 1 wrt o?\nAnswer: -6*a*r + 6*a + 6*r + 58056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4795 rounded to the nearest 100?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -868 - -6549. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Suppose p - 8 + l = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1644)\/(-8))\/(3 - (-1890)\/(-636)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -394*c**3 + c**2 + 2*c**5 + 2 + 394*c**3 + (-c**2 + 2*c**2 + c**2)*(0 - 2*c**3 + 0).\nAnswer: -2*c**5 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48678 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1002?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -890a4 (base 14) to base 12.\nAnswer: -140288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - q = 2*q, 3 = 5*h - 2*q. Let i = h + -1. Is 2\/13 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56781931 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.078 - -2.922. Let x be 1\/(-2)*30\/10. What is the biggest value in 2\/7, 4, x, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*k + 45*k + 4 - 7)*(k**3 + 2*k**3 + 0*k**3) to the form l*k + j + m*k**2 + w*k**4 + i*k**3 and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 7*p - 9*p - 3*p to m*p + f and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -18*s**3 - 89*s**2 + 93*s + 439. What is x(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 634374 and 192582.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.125, 0.3, 4, -16 in ascending order.\nAnswer: -16, -1, -0.125, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3.38 (b) 0.2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 - 11 = 0. Let b = x + 31. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 505704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 113.2.\nAnswer: 226.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfkdl. Give prob of picking 1 l and 2 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/2 + 55416084*s - 511823727649176.\nAnswer: -3*(s - 18472028)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8\/11, -5, -2, 369, -1\/5?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 153*m = 152*m - 757, -3*h = -m - 457. What is the greatest common divisor of 486 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/18)\/((-2)\/6)*8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence peep when four letters picked without replacement from etttepeetppbepttte.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -9, 29, -2\/141, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 32 - 102. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*y**6 - 56931*y**4 + 2*y**2 + 19*y + 93546?\nAnswer: 6840*y**3 - 1366344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2.1. Let h = -0.12 - q. Let f = h + 0.02. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359120?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 10 + 106 = 0. Determine o, given that 0 - 76\/5*o**3 - 6\/5*o**5 - 8*o**x + 18\/5*o - 24\/5*o**2 = 0.\nAnswer: -3, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 8.47. Let o = 4952 - 4960.43. Let r = o - m. Which is the second biggest value? (a) -3 (b) 5 (c) r (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 336219, 4, -3, 3 in decreasing order.\nAnswer: 336219, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 e when four letters picked without replacement from veevevvvvvvv.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-2*1.\nAnswer: -14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/8 + 1255*p\/2 + 1575025\/2 = 0. Calculate p.\nAnswer: -2510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 3*sqrt(117))\/sqrt(9) + ((sqrt(13) + -3)*-1)**2.\nAnswer: -2*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*x**5 + 6685*x**3 + 1646922*x**2 + 6*x.\nAnswer: 1140*x**2 + 40110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 8790630.\nAnswer: 1\/2930210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -15. Suppose 4*f - 4 = 5*q - 0, 0 = q + 3*f - 3. Suppose 2*y + 2 + 2 = q. Sort 4, g, y in descending order.\nAnswer: 4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*s**4 + 14*s**2 - 4*s**2 + 56*s**4 wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*s + 24 = 0, 3*h - 2*s + 4 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3432 - 99*g - 3432 + 440*g.\nAnswer: 341*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1124 and -121\/12.\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1389*b**2 + 693*b**2 + 694*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68*0.137611.\nAnswer: -0.09357548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.0620716.\nAnswer: -0.01241432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 1225039?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2) + -5 + 4 + (1 + sqrt(32) - (sqrt(2) + -1 + 4)**2).\nAnswer: -11 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)*l\/(l**5*l)*(l*l**1*l)\/l**(1\/9)*l**5*l\/(l\/(l**(-3\/5)*l*l*l))*(l\/((l*l**1\/l*l*l*l)\/l))\/l**5 assuming l is positive.\nAnswer: l**(-392\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127248, -254489, -381726, -508959, -636188?\nAnswer: -763413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 1, j: 1, e: 1, a: 2, t: 2}. Give prob of sequence enja.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*l**5 - 13*l**5 + 5*l**5 - 127 + (2 + 0 - 1)*(-2*l**2 + 2*l**5 + 2*l**2) + l**5 + l**5 - l**5.\nAnswer: 8*l**5 - 127","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 - -281. Let s = w - -258. Which is the closest to 2\/3? (a) -0.19 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:03 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 226203633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q - 15. Let u be n(-2). Solve u*o + 3 = 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**4 + c**2 + 52*c - 52*c + 1 + 3*c**3 + 2*c**4 to f*c + g*c**4 + l*c**2 + h*c**3 + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 65321.9cm?\nAnswer: 653219000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 63*p**2 + p - 63.\nAnswer: -(p - 63)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4634 - 862 + 1127 + 2024)*(-2*u**4 + u - u).\nAnswer: -13846*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 5*o + 5. What are the prime factors of b(7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b**2 + b + 11. Let y(r) = 7*r**2 - 8. Let u(q) = -5*c(q) - 7*y(q). Let o(t) = t. Give -6*o(a) - u(a).\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {q: 1, z: 1, v: 1, i: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 8 - 28 = 0. Sort 0.5, 2\/7, k in ascending order.\nAnswer: 2\/7, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -40*h - 3. Let o be q(4). Let d = o - -333\/2. What is the common denominator of d and ((-210)\/20 + 12)\/((-30)\/146)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/10 of a centimeter?\nAnswer: 19000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/15 + (-7)\/((-35)\/12). Suppose -n*b + 0 - 4 = -u, -3*u - 2*b + 28 = 0. Let a = -54 - -94. Calculate the lowest common multiple of a and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k = 10. Solve 8 = -k*m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r + 9 = 3*y + 70*r, 0 = 3*r + 9. Let g(a) = -a + 4. Let b(u) = -u**2 + 1. Determine y*b(i) - g(i).\nAnswer: -4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3505696841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 4*f + 330. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u**(1\/4)*u)\/u))\/u)\/u*u)\/(u**(-4)*u))\/(u**1\/u**2) assuming u is positive.\nAnswer: u**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*q + 3. Sort q, 5, 2, 12 in decreasing order.\nAnswer: 12, 5, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000000100 (base 2) to base 9.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + (-1*(5*sqrt(1900) + sqrt(1900))**2 - sqrt(1900)) + (sqrt(209)\/sqrt(275) + (sqrt(19) - (0 + sqrt(475) + sqrt(19) + sqrt(19))))**2)*4.\nAnswer: -6776084\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2 - 4*i - 1. Determine k(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14688.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q. Let p(c) = 18*c. Let m(h) = 5*h. Let g(z) = 15*m(z) - 5*p(z). Determine 4*g(u) + 9*w(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 659397714 divided by 6\nAnswer: 109899619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 + 2 = 0. Let u(a) = -a - 3. Let l be u(-13). Suppose f*d - l = d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 311?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6096.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3*u**6\/14 - 12*u**5\/35 + 9*u**4\/28 + 4*u**3\/7 - 372. Find q such that d(q) = 0.\nAnswer: -4\/3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40292, 81798, 124510, 168422, 213528?\n\"Answer: -q**3 + 609*q**2 + 39686*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 3. Let m(f) = 1. Let u(w) = -2*m(w) - q(w). What is u(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - -8.1. Let z = f - 11. Put 3, -2\/9, z in decreasing order.\nAnswer: 3, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 59. Let p = x + -79. Let z = -4.06 + p. Round z to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30*(2\/(-5))\/((-4)\/65) is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 2*g - 2*g)*(-g + 2*g - 3*g) + (0 + 0 + g)*(-3*g - g + 3*g)*(-1062 - 1426 + 80) in the form n*g**2 + s*g + b and give n.\nAnswer: 2412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - 26 - -9) + 12 + -14?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.985 and -0.9.\nAnswer: -2.6865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - -1) + 0 + (-2 - 23) + (377 - 359).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 23*z - 3. Let o(l) = l**2 - 11*l + 25. Let k be o(8). Let d be c(k). Which is bigger: d or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -344, 5 in increasing order.\nAnswer: -344, -7, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/6)\/4 - (-8)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (890260\/126)\/(180\/1296)?\nAnswer: 2, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67424.3 years to millennia.\nAnswer: 67.4243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*3*-4 + ((sqrt(91) - -2*sqrt(91)) + sqrt(91))*-1)\/(5*(sqrt(6300) - -2*sqrt(6300)) - sqrt(6300)).\nAnswer: -4*sqrt(13)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/98 and (-533)\/1092 - (-1)\/5*-5.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4393041 divided by 3?\nAnswer: -1464347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101372400 and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -51?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k - 38. Let t be m(-6). Let c = 0 + 5. Let p(a) = a**2 + 3*a + 4. Let o be p(-3). Put c, t, o in descending order.\nAnswer: c, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 20*j + 11*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16940 = 29*a - 1707. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 8. List the prime factors of (8 - -2)*6\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (21 - 0) - (-22 - -10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -52. Suppose 0 = -h*w + 4. Suppose -s + w = 0, -2*b + 2*s + 136 = -2*s. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15686 and 621736?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 189269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + z - 53*z**2 - 1.\nAnswer: -53*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 10:23 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*i)*(9 + 4 + 4).\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209235467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j**2 + j + 1. Give h(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 3:45 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6348888 divided by -46683\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173460?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2. Let x(a) = -26*a. Determine h(x(j)).\nAnswer: 4056*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44051494919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 2*v - 15. Let y be s(-8). Let c be (-11)\/y - 328\/6. Let a = 152 + c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 1 + -4 - (4 + 1 + -16)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15248 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5 + 6 - 2*n + 3*n + 3. Let a be d(-6). Let s be 21\/2 - a\/(-4). Solve -u = -3*u - s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/10 + 26*x**4\/3 - 93*x**3 + 342*x**2 + 28*x + 20. Factor u(p).\nAnswer: 2*(p - 3)*(p - 2)*(p + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282571009*l**2 - 52608973*l + 3 wrt l?\nAnswer: 565142018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -79, -250, -395, -514, -607?\n\"Answer: 13*r**2 - 210*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Which is the third biggest value? (a) 0.3 (b) t (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 1, y: 3}. Give prob of picking 3 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {k: 1, i: 4, c: 2, b: 3, j: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 6:15 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-13)*5*26\/130. Which is the third biggest value? (a) -27 (b) -0.1 (c) r (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*a - 0*a. Suppose 0 = 2*w, -2*d + 9 = -3*w - 1. Suppose 2*b = 6 - 0. Solve 2*o = -o - 6, -b*o = d*p + a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 5 - 30 = 0. Solve -12 = r*q + 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6688 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 170.9. Let h = p - 12.1. Sort h, 0.3, -4, -1 in increasing order.\nAnswer: h, -4, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(4) + sqrt(12)\/sqrt(3)))\/sqrt(2).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24000 is divided by 1599?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*m = -149*m. Let s be (-59)\/(-59) - (1 + m). Which is the closest to s? (a) 1\/17 (b) 1 (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*u - 119*u - 1064 = 0. What is the highest common factor of u and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1221*v + n - 17 = 1222*v, 3*v - 4*n = -55 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -53 (c) 39\/16 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/13 - 112*y**2\/13 - 898*y\/13 + 1008\/13 = 0. Calculate y.\nAnswer: -8, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-5 + -4) - 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99649, -199299, -298949?\n\"Answer: -99650*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/868 and 109\/64236?\nAnswer: 13939212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0 + 0)*(4 - 4 + 5*r)*(-4 - 3*r + 4)*(r + 0*r - 2*r).\nAnswer: 15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 47*i**4\/2 + 326038*i**3 + 2281140235*i**2\/2 + 67217839601*i - 2862398940 = 0.\nAnswer: -6907, -60, 2\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + 10 + -3 + -8 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/120 - i**5\/60 - i**4\/12 + 29*i**3\/2 - 5*i**2 + 2*i. List the prime factors of a(0).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253720317.\nAnswer: 3, 151, 560089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -3)\/((-6)\/(-4)). Let i(x) = x**3 - 2*x**2 + x + 2. Let f be i(v). Solve -4*b + 0 = f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -71. Let a be (54\/(-4))\/((-6)\/8). Let k = a - c. Solve 0 = 2*m + k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 47*m**2 + 16*m + 17. Calculate q(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/5)\/(2\/(-6)). Let v = 2 - 2.07. Let s = -5.07 - v. Which is the nearest to 0.1? (a) s (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 2.03. Let v = 248 + -245. Which is the nearest to 0.44? (a) t (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970469*h - 41561 = 971030*h + 15661 for h.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6*g**5)**(-28)\/(g**(2\/7)*g*g**(2\/13))**(-25) assuming g is positive.\nAnswer: g**(-24753\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -246.08 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 7*p + 35. Let l be n(13). What is the remainder when (l\/24 - 6)*8 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 - 3 + 2*a + 3*a - 2*a + a + (1 + 0 + 0)*(-a - 4 + 4) - 2*a - 2*a + 6*a + 0*a - 2*a + 3*a + a - a - a + (0 - 4 + 2)*(-4*a - 2*a + 2*a).\nAnswer: 13*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -25, -3*v - 25 + 0 = -2*x. Let q(j) = 3*j**3 - j**2 - j + 5. Let b(i) = -8*i**3 + 4*i**2 + 2*i - 14. Let c(k) = -4*b(k) - 11*q(k). What is c(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 493574 - 493560. Let i = 0 - -2. Suppose k - i*q = 48, 2*k - 86 - 13 = 5*q. What is the highest common divisor of a and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**46 assuming n is positive.\nAnswer: n**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*n**2\/6 + 128539*n\/2 - 6470\/3 = 0. Calculate n.\nAnswer: 5\/149, 2588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + d - 4)*(0*d + 4*d - 2*d) - 3*d**2 + 0*d**2 + d**2 - 2*d + 2*d + 2*d**2 + (2 - 2 - d**2)*(2 - 3 + 4).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 u when four letters picked without replacement from ggguuupp?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.855 - -0.045. What is the third smallest value in x, 1\/2, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3251\/47705 + 9\/145. Is t greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -3246321.\nAnswer: -7\/3246321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z + 2. Let f be (130 - 121)\/(9\/(-2)). Determine n(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1476.978978 to the nearest integer.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**10*s*s*(s**(-10\/11)*s)\/s*s assuming s is positive.\nAnswer: s**(-65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k + 300 = 50*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 3*v**3 - 3*v**3)*(3 - 4 + 3) + 0*v**3 - v**3 + 0*v**3 + (-v**2 - 5*v + 5*v)*(v - 3*v + 4*v) - 3*v**3 + v**3 + 0*v**3 - 2*v**3 + 0*v**3 + 5*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 52, 69, 96, 133, 180, 237, 304?\n\"Answer: 5*b**2 + 2*b + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -360?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10119 by -40508.\nAnswer: -10119\/40508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwykklqzzqzy. What is prob of picking 2 z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-66) - 25062\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 3, r: 1, y: 2, g: 1, u: 8}. Give prob of sequence gyr.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 1. Let n(w) = -5*w**2 + 1. Suppose 47 = 10*t - 13. Calculate t*q(g) + n(g).\nAnswer: g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040825 rounded to 6 dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 2*l - 1344. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 3. Let f(n) = 2*n - 2. Suppose -4*z + 24 = -z. Suppose 23 - z = 3*l. What is l*p(b) - 7*f(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60840, 121720, 182628, 243576, 304576, 365640, 426780, 488008?\nAnswer: 549336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 133, 175, 201, 205, 181?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (8 + -7 + -14)*-186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-84)\/18 + (-77)\/(-3). Let q(b) = b**2 - 27*b + 61. What is the tens digit of q(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 941, -2, 5, -6, 1, -4 in increasing order.\nAnswer: -6, -4, -2, 1, 5, 941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + 3*c**2 - 3*c**2 + (-2*c**4 - 3*c + 3*c)*(2 + 1 - 2) in the form x*c**3 + z*c**2 + l + p*c + f*c**4 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/181 in -0.3, -7, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3346337?\nAnswer: 19, 176123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:07 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 != 1.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-4)*(-1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1 - (-81)\/(-9). Let x(n) = -n**3 - 6*n**2 - 2*n + 8. List the prime factors of x(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - -191. Let n = 220 - t. Sort 0, n, 9\/4 in decreasing order.\nAnswer: 9\/4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 36*u**2 + 2*u - 1. Let y(w) be the first derivative of -2*w**3\/3 + 2*w**2 - 3*w + 1. Let v be y(2). Is j(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2019, 3951, 5883, 7815?\n\"Answer: 1932*y + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + u**3 + 0*u + (-u**3 + 5*u**3 + 0*u**3)*(2 + 3 + 4) to h*u**2 + z + n*u + v*u**3 and give v.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 643 + -641. Solve 3*o + c*u + 12 = 0, 2*o - 3*u - 6 + 14 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 436592, 873187, 1309784, 1746383, 2182984?\n\"Answer: m**2 + 436592*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {r: 1, i: 5, o: 1, t: 1, k: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9030 + 9036 + (8 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1082e (base 15) to base 6.\nAnswer: 1042525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 2*r**3\/27 + 6034*r**2\/9 + 18204578*r\/9 + 6574. Factor g(m).\nAnswer: 2*(m + 3017)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and -394.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287 + 290. Solve -c = -z*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8)\/p*(p*p**5)\/p)**(-3\/22)\/((p\/(p*p**(-1\/15)*p))\/(p**(-6\/5)\/p)*(p**(-1))**(-26)) assuming p is positive.\nAnswer: p**(-8863\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*j**4 - 45055*j**3 - 760920*j**2 - 2430580*j - 417040 = 0. Calculate j.\nAnswer: -802, -13, -4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.027 in -0.5, -1192, -1\/4, 5, 0.5, -4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -2 (b) 2 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.4242355 rounded to 3 dps?\nAnswer: -23.424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 151*l**4 - 151*l**4 + 3*l**5 - 2*l**5 + 6*l**5 - 2*l**5 + (4*l**2 - 2*l**2 - 3*l**2)*(21*l**3 + 14 - 14) - 2 - 2*l**5 + 2.\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4102)\/(-2344) + 846\/(-264).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/4 - 2*r**3 + 2*r**2 + 3*r + 142. What is f(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15433 and 8418?\nAnswer: 92598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*3\/(-15))\/(47\/1410*-63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7\/94 + 237\/658. What is the smallest value in r, 0.09, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*((sqrt(1300) - -3*(4 + sqrt(1300))) + 4)*-3)**2.\nAnswer: 864000*sqrt(13) + 14212800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 3. Let w = 7 + s. Suppose 272*g - 274*g = -16. Solve g = w*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0233 + -5.4967. Let q = 6.02 + u. Which is the closest to 0? (a) q (b) -9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -111 - i + 111. Determine h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -338298 and -4.\nAnswer: -338302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p - 4. Let y be c(-2). Let h = 0.9 + -2.9. What is the smallest value in 2\/23, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 divided by 3.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 563 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2116*z + 2123*z - 4*h - 3 = 0, 0 = -3*z + 3*h + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33)*-3*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -1 + (5 + (sqrt(32) - 2*sqrt(32)))**2).\nAnswer: -40*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*u + 6, -u + 0*u = -l + 6. Find the third derivative of l*f**5 - 1102*f**4 - 28*f**2 + 1102*f**4 wrt f.\nAnswer: 240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 18 = -4*o, 2*h - 4 = -5*o - h. Suppose 0 = -4*l + 10 - o. Solve 0 = -7*w + 3*w - 3*y + 3, l*y - 10 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-214192)\/24*(-5)\/((-10)\/(-3)).\nAnswer: 11, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196030 (base 10) to base 5.\nAnswer: -22233110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/(-68)*(-7)\/((-420)\/44)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612967865?\nAnswer: 5, 83, 1477031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 1 = 2*t + u - 7, -5*u - 65 = -165 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3\/53, -2\/1658161.\nAnswer: -3\/53, -2\/1658161, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*f + 18. Let q = f + -14. Let 63*d**4 - d**q - 5*d**2 - d**3 + 4*d**3 = 0. Calculate d.\nAnswer: -1\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*8825.94.\nAnswer: -8825.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15394 is divided by 334.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28146893 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**2 - 3*n + 1\/3*n**3 + 0. Let q(a) = 4 + 2*a**2 - 4. Determine b(q(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15268 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 - -411. Let v = t + -187.2. What is v rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1356*d**5 + d**4 + 2*d**3 - 69*d**2 - 3*d - 11 wrt d.\nAnswer: 81360*d**2 + 24*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-14)*(30\/(-9))\/(-5)*7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**2 + 3543292390*x + 627746048051595605 = 0.\nAnswer: -354329239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 16*z**2 - 5*z + 24. Let u be s(-8). Suppose 10*k - 12*k = -u. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1.3, 313\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + 38.9. Let d = 40.3 - t. Let s = -0.2 - -0.1. Which is the closest to s? (a) -4 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 686\/9 - 76. Do 0 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4941, -4945, -4949, -4953, -4957, -4961?\nAnswer: -4965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2011250 - 2.021\nAnswer: 2011247.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -17*g - 3. Solve h + b = -0*b + 9, 3*h + 8 = g*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 5*f**2 + 6*f - 8. What is the tens digit of z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*c - 39 + 39 + (1 - 1 + 1)*(2*c - 3*c + 3*c) + 3 + 4*c - 3 as l + u*c and give u.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232272405.\nAnswer: 3, 5, 5161609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4282894l in millilitres?\nAnswer: 428.2894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 7 + (-9 - 24) + 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 353587 - -1?\nAnswer: 353588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 7*u + 12. Suppose 5*a - 5 = 2*a - b, 4*b - 4 = -4*a. Solve u*i = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*k + 3*x, -2557 = -2*k + x - 2541 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716111*m = 716286*m - 8925 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 52873.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.62 + 0.22. Sort l, -2, 1\/6, -0.1 in decreasing order.\nAnswer: 1\/6, -0.1, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*u - 4*n + 3*n, 0 = -u + 3*n - 11. Let a(t) = t**2 + 20. Let r be a(0). Let c = r + -10. What is the remainder when c is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 0 + 16 + -15 + 8 + 38 - 8\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 - 660 - (1 - 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2 - 593799*n - 4156740 = 0.\nAnswer: -7, 197940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 2*y + 0*y - 2*y**2 + y**4 in the form j*y + l + g*y**4 + d*y**2 + b*y**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*d - 97*d - 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 - 7*k + 6. Let l(x) = -4*x**2 - 7*x + 6. Let g(f) = 5*c(f) - 4*l(f). Let r be g(6). Suppose d - 4*d + 6 = 0. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 1 - (145 - (-126 + 299))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20\/23 in 25\/3, 1, -0.1, 10\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (10 + -4) - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1339, 1246, 1097, 898, 655, 374, 61?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**5\/4 + 645*d**4 + 350245*d**3\/4 + 2260635*d**2\/2 + 3542400*d = 0.\nAnswer: -256, -246, -9, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvfvfhhffrav. What is prob of picking 1 v, 1 r, and 1 b?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 0*d**5 + 7\/24*d**4 + 0*d**3 - 15*d**2 + 0 + 0*d**6 + 0*d + 1\/105*d**7. What is the second derivative of c(p) wrt p?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 - 42. What is the highest common divisor of s and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/(-1))\/(((-7)\/5)\/((-3080)\/1100)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 3*w - 5*w + w**2 - w**2 + 2*w**2.\nAnswer: 2*(w - 5)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 13*j + 4. Let n(k) = -7*k - 1. What is -3*c(x) - 7*n(x)?\nAnswer: 10*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 26. Let h = 24.34 + o. Round h to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**3 + 130*h**2 - 102*h.\nAnswer: 2*h*(h + 17)*(4*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6*m + 91 = 135, 0 = -n + m - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4332 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g + 2. Let v be r(2). Let c = -5 - v. Let o(n) = 0*n + 4 - 2*n - 3 + c. Determine o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -298a2157?\nAnswer: -298a2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o + 18. Let t be n(-3). Suppose t*u + 3*u = 3*j + 534585, 0 = -3*j - 5*u - 534625. What is j rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.8 - 31.35464387.\nAnswer: -28.55464387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 6*i - 4*i. Let u be 1246\/18 - 18\/i. Suppose 0 = 3*x + 2*l - u, 4*x = -x - 2*l + 115. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173625 and 5217375?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s + 11. Let x = 2 - -7. Calculate the lowest common multiple of x and d(5).\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 0.2, -645, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19251 divided by -31\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32775121927.00000773 - -32775122112. Let l = -185 + b. What is l rounded to 7 decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6050 = -5*o - v, 0 = -4*o - 3*v - 0*v + 4840. Round o to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 11}. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 5*k - 67, -5*k + 437*w - 438*w - 9 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 939690180 + -433690180. Suppose 0*w - t = 4*w. Round w to the nearest 1000000.\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 14*f**2 + f - 68. Let t be m(-13). Let o = -201 - -355. Calculate the greatest common divisor of t and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a + 44*a = -260 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 4*o**2 - 2*o + 24. Let v be k(8). Let z = v + 12425. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 577619 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 8:48 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200220 + -10?\nAnswer: -10201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9910810027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**3 + 32*x**2 + 3853*x - 27178. What is p(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 12:57 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101001 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - x. Let t(m) be the second derivative of -3*m**5\/10 + 5*m**3\/3 - 14*m. Let h be (0 - 11) + 11 - -10. What is h*c(w) + t(w)?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4898, -4964, -5072, -5222, -5414?\n\"Answer: -21*m**2 - 3*m - 4874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -20, -2, 3, 0.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-1 - -3)) + 227 + -221. Solve -w = -5, 6*w = l*g + 4*w + 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -251 - -504. Let y = g + -253.003. Which is the second smallest value? (a) -1\/2 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 1 - sqrt(72)) + sqrt(2) + sqrt(8)\/((sqrt(4) - sqrt(16)\/sqrt(4)) + sqrt(4)).\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*j**2 - 2*j**3 - 32*j**2)*(-6 + j - 1 + 27).\nAnswer: -2*j**4 - 40*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8120326 is divided by 159.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 = -4*n - 26, 0 = 5*j + 3*n + 30. Let i = -10 + 9. What is the least common multiple of i\/j + 10\/15 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8*z + 12*z - 236 = 0, 8*n - 2*z - 566 = 0. Solve -n + 40 = 8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.3 (b) -3 (c) 2 (d) -241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07435 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9932 + 9929. What is the smallest value in q, -8, -87\/5?\nAnswer: -87\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173436841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/4*-4 + 5. Let g = -5 + 2. What is the second biggest value in 10, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**4 + 23*t**2 + 3*t**4 + t**4)*(t + 0*t + 2*t).\nAnswer: -6*t**5 + 69*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 123 = -16*h + 101 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010000011000000 + 1011110?\nAnswer: -100010000001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-8)*(1092\/(-13))\/14*5\/45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 4797156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 546185217 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -32*-1046\nAnswer: 33472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42121432 (base 5) to base 6.\nAnswer: 11244451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3754309 or 3754310?\nAnswer: 3754309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23117 = 235*x - 240*x - 4*g, 4*x = -2*g + 18490. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 0*r - r**4 + (-411*r + 481*r - 1410*r)*(2*r**3 + 3*r**3 - r**3) to the form p*r + w*r**4 + g*r**2 + z + m*r**3 and give w.\nAnswer: -5361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1404, -2783, -4162?\n\"Answer: -1379*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5982082, 5982066, 5982034, 5981980, 5981898, 5981782?\nAnswer: 5981626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -125 * -325\nAnswer: 40625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:51 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 divided by -110?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6438165 and -37\/30.\nAnswer: 12876330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3\/7*u**4 - 6\/7 - 15\/7*u**3 - 27\/7*u**2 - 3*u = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 54074, 108146, 162218, 216290, 270362?\n\"Answer: 54072*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1849053, -3698108, -5547163, -7396218, -9245273?\nAnswer: -11094328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30\/35)\/(1\/(-14)*-4). Let c(k) = 6*k**2 + 711*k**3 - k**2 - q*k - 712*k**3. Let h = -26 - -30. Calculate c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/4 + (8 - 13) + (-2)\/(-8). What is the third smallest value in -2, q, -7.5, -6, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688\/215*((-1)\/(-2))\/((-17)\/(-85))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/18)\/((-6)\/9). Let s = -1 + 1. Is f not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10212 and 15?\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43728505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -269283047 - 80?\nAnswer: -269283127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1080)\/20*24\/(-54). Calculate the greatest common divisor of 50 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 0*s**2 - s**2 + 23315 + 2*s**2 - 23315.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.61 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - r - 1. Let k(h) = h**2 - 2*h + 4. Let z be k(2). Let d be z + (2\/1 - 4). Calculate s(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -4, 31, 59?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 12:00 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*-1*(18\/2)\/(70\/210)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2673662 to the nearest integer?\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -27.\nAnswer: 31\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20947231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 6*m**2 - 7*m + 3. Let k be f(-7). Let z(l) = -l + 5. Let h be z(k). Find the third derivative of -3*q**5 + h*q**5 - 4*q**2 - 2*q**5 wrt q.\nAnswer: -180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/7 (b) 2 (c) -2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - 2\/((-90)\/219)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44137 - -218992\/5. Which is smaller: -340 or k?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146374876 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -204*u + 207*u - 2, -2*h = -10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42123365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Let d be ((-8)\/3 - -2)*-3. Let t be ((-1)\/2)\/(d\/f). Which is the second biggest value? (a) 4 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7670000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*((f*f**(-7))\/f)\/f*f)\/f*f*f**1*f)**(27\/5))**(-1))**20 assuming f is positive.\nAnswer: f**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 9\/44960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46789243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**2 + 0*l**2 - 2*l**2 + (-94 - 77 + 146)*(2*l**2 + l**2 - 5*l**2).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 15*b**2. Let o(c) = 6*c + 4. Let g(m) = -7*m - 5. Let r(z) = 4*g(z) + 5*o(z). What is r(a(p))?\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 + 1447*c**3\/6 + 2891*c**2\/6 + 1445*c\/6.\nAnswer: c*(c + 1)**2*(c + 1445)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20 and 188.58728.\nAnswer: 208.58728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c. Let v be t(1). Let l(x) = 3*x**v + 3*x**3 + 0*x**2 - 2*x**3 + 0*x**3 + 1. What is l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1437549359?\nAnswer: 17, 84561727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d. Let x(o) = 69*o. Give x(f(b)).\nAnswer: 69*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1051898 and 0.43923752.\nAnswer: -1051897.56076248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6797 - -153355.3015.\nAnswer: 153354.6218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/16 and 732\/448 - (-9)\/(-21) - 2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72709015 and 80015?\nAnswer: 6155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25*m + 5 - 25*m + 2*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/(-14)*(-10)\/(-5)*42 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373125 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-12*(3 + 40\/(-12))*-55. Is f at most -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988*f - 977*f - 6732 = 0. What is the lowest common multiple of f and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 136906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1209)\/(-204) - 6). Let a = -66\/5 + z. Factor -a*q**2 + 0 + 2\/5*q.\nAnswer: -2*q*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/21204784 and 11\/5696.\nAnswer: 84819136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 35 + 5*j - 5*j - 3*j + 5*j.\nAnswer: 2*j + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*a + 173844 = 0, 141*w - 4*a + 115908 = 143*w. What is the thousands digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + 2*t + 15. Let x be i(-5). Suppose -h = 2*f - 161 + 5, -5*f + x = 5*h. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 3*x**2 - x - 2. Let w be a(2). Is -24 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 20*c + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + 0*t**2 + 2*t**3 - 4*t**3 + 4*t**3 + t**3 + (6*t - 2*t - 2*t)*(5*t**2 - t**2 - 2*t**2) - 27*t**2 + 27*t**2 + 4*t + 4*t**3.\nAnswer: 11*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2. Let x = 0 - -3. Let p(y) be the first derivative of 1 + y**3 - 2*y**x + 2*y**3 - 5. What is p(d(c))?\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17697057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**3 - 3*s + 3*s + s wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*d - d = -10, -3*y - 2*d - 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18 + 30 = 0. Suppose r - 4 = -2*t + 3*t, j = -2*t + 4*r. Let k = 668 + -672. Put k, t, 1, -1 in descending order.\nAnswer: 1, t, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 144*k - 23296\/3.\nAnswer: -2*(k - 112)*(k - 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8592514 and 10744?\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 1315*b + 89505. Calculate m(77).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 1.9. Let u = -1.9 + y. Let p = -127\/3 + 43. Which is the closest to 0.1? (a) p (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 15, z: 4}. What is prob of sequence zcz?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407826.1kg to micrograms.\nAnswer: 407826100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 - -5.499. Let o = -0.501 - j. Let x = -3\/35 + -43\/315. What is the smallest value in 5, o, x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-4)\/120*4*(-2045)\/50307?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*u + 54*u + 50*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**5\/40 - d**3\/2 - 2*d. Let j(x) be the second derivative of c(x). Let i(k) = 2*k**2. What is j(i(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -2 + -3 + 9 + -4. Let -6*t + 4 - 7*t**l - t**3 + 21*t**3 - 11*t**3 = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 15090*t**2 + 3298*t**2 + t**3 + 11792*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*q + 25*q - 10. Suppose -q*j = -j + 5*n - 22, -5*j - 4*n = -110. What is the least common multiple of 3 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 374 = -2*m. Which is the second smallest value? (a) -7 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.1 (c) -1\/2 (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -7*w**4\/12 + 23*w + 12. Let i(f) be the first derivative of r(f). Let x(g) = 2*g. Give i(x(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1019700 or -1019530?\nAnswer: -1019700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -38, 2, 84, 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/660 - 25*n**4\/132 - 4*n**2. Factor x(w).\nAnswer: 2*w*(w - 5)*(w + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 1332 = -461. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -88. What is the third derivative of t**2 - 111 + 6*t**5 - 69*t**n + 136 wrt t?\nAnswer: -3780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 60*j - 16 = -58*j, -4*r = -8*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -520892*z**5 + 3*z + 32308?\nAnswer: -10417840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 0. Let i = 9 + v. Is i at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = 4*n + 774, 2*p - 508 = n. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -44. Let k(i) = 21 - 2 + 1 + i + 12. Is 6 a factor of k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*4\/(-24)*42. Let q = 18 - p. What is the first derivative of -4 - q*v - v + 9 - v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)\/((-3)\/(-14)) + 5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -133*k - 26488. What is h(-199)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*y = 34, 2*i - 4*y + 6*y - 16 = 0. Suppose w = -i*w. Let t = -0.212 - -0.312. Which is the nearest to 0.1? (a) w (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 + 7*t**3 - 10*t**3 - 2 + 6.\nAnswer: -8*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**4\/12 + 4*l**3\/3 + 6*l**2 + 3*l. Let d = 18 - 9. Let u be w(d). Sort -1, u, 0 in increasing order.\nAnswer: -1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 931043337 and -3273?\nAnswer: 931046610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.631 to the nearest integer.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**2\/7 - 3306*j\/7 - 1324\/7 = 0.\nAnswer: -2\/5, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a4829 (base 14) in base 2?\nAnswer: 1100000110111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5.6. Let v = -2.5 - r. Which is the smallest value? (a) 5\/8 (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 17, 0.22, 1\/2, -16?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, 6\/19, -1\/2, -1, -5 in decreasing order.\nAnswer: 6\/19, -2\/27, -1\/2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7834206839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 2*b**2 + 4*b**2 + 7*b**2. Let t be r(-13). Suppose t*m = 2*m - 6. Is m less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12505423 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1260005 = n, -2*j - 1841996 - 3198006 = 4*n. Round n to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.123488 minutes in days?\nAnswer: 0.0507802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 65*r**2 + 29*r - 41. What is the remainder when q(-32) is divided by (5\/((-20)\/112))\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 33*w - 22. Let v be u(34). Let c be (v\/(-4))\/((-33)\/(-2)). What is the smallest value in -5\/3, 0.1, c, -4\/9?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + 1. Let s = -21.91 - 5.12. Let z = s - -27. Are p and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07278 rounded to four decimal places?\nAnswer: -0.0728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004888339696 to 6 decimal places.\nAnswer: -0.000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*r - 3, -4*r - 2*m - 7 = 1. Let n(p) = -p**3 - 3*p**2 - 2*p - 3. Let g be n(-3). Let d = g - r. Sort d, 11, 1.\nAnswer: 1, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 3019?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2673 or -3162?\nAnswer: -2673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(162)\/(sqrt(9)*-5))\/(sqrt(324) - 3*sqrt(324)*-3).\nAnswer: sqrt(2)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2761*m + 1807*m - 4073*m - 1246*m - 3798*m to q*m + d and give q.\nAnswer: -10071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 9*a**2 + 11*a. Let f be k(10). Suppose -3*i = -3*d + 2*d + 17, -8 = -4*d. Let r = i + f. Solve -2*u - m + r*m = 4, 5*u + 3*m - 16 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d*v**3 - 22*d*v**2 + 4*d - 164290*v**3 with respect to d.\nAnswer: v**3 - 22*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11011100011010010100111100?\nAnswer: -11011100011010010100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/23, 1\/21, 0.4, -2\/15329, 4?\nAnswer: -2\/15329","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*j**2 - 3 + 5*j + 39*j**4 - 4*j**3 + 6 + 23*j**4 - 64*j**4 as t*j**3 + g*j**4 + r*j + o*j**2 + a and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(10\/280). Let k = b + 21. Let l = k - 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25804814, -51609629, -77414444, -103219259, -129024074, -154828889?\n\"Answer: -25804815*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27294 and -29.\nAnswer: 27265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -3 + 73\/(-1). Let o be u\/135*6\/8. Let p = o - -4\/35. Put -1\/5, -4, p in decreasing order.\nAnswer: -1\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773.72 rounded to the nearest 10?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 147. Solve -3*c + l - y = 0, -4*c - 16 = -0*l + 2*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) -2\/17 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 17. Let m(j) = -14*j - 17. Give -3*m(g) + 2*x(g).\nAnswer: 18*g + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 0 = -4*f. Is 15 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/17)*b\/b**(3\/4)*b**(-9)\/b*b*b**6 assuming b is positive.\nAnswer: b**(-171\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3083 is divided by 2100\/3850 - (-11274)\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467744?\nAnswer: 2, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 - 2090*i**2 - 82311*i - 104. Give x(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -175\/3366 and -14\/2805.\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/((-7)\/(-21)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 29. Solve 0 = -v*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1324702, 2649402, 3974104, 5298808, 6623514, 7948222?\nAnswer: 9272932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d - 18*d + 15*d.\nAnswer: 25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30.655 - -30.455. Let o be 2\/5 + (-2)\/4. Which is the nearest to 0.15? (a) j (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 35*l**2 + 16*l + 34. Let j(h) = 41*h**2 + 15*h + 34. Let m(a) = 7*g(a) - 6*j(a). Determine m(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 32*o + 168. What is q(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 684 and 123462.\nAnswer: 246924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-63)\/(-9) - (-826)\/(-119))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3989, -4206, -4425, -4646?\nAnswer: -4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**6\/120 + 2*c**5\/15 - 13*c**4\/24 + 11*c**3\/6 - 2*c**2 + 144*c. What is n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3704 is divided by 3665?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*s - 3*p - 8, 8 = 2*s - p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - x + 19)*(-2 + 3 + 1) - 2 + x + 4 - 4*x.\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2220 + 2238 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 6161*n**2 - 6165*n**2 + 18482*n**2 - 6157*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17577 and 2079?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 6*m - 6. Let o be k(4). Suppose -d = -0*f + 5*f - 7, -5*f = 4*d + 2. Find the second derivative of -b**f + b**2 + o*b + b**4 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-30))\/((576\/3660)\/24)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6235 + 6412. Calculate the remainder when 751 is divided by d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/14 and -79\/65628.\nAnswer: 459396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - x**3 + x**3)*(-7*x - x + 2*x) - x**5 + 5*x**5 - 3*x**5.\nAnswer: -11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 334*v**2 - 3524*v + 9350. Give p(-323).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + 3 + -4 + sqrt(2057))**2.\nAnswer: -154*sqrt(17) + 2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-126))\/((-6)\/9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648 - 653. Let u(v) = 2*v**3 + 14*v**2 + 21*v + 6. Let f be u(t). Let l(s) = -s**2 - s - 1. Let a(z) = 4*z + 6. Determine f*a(n) + 5*l(n).\nAnswer: -5*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24957162177 + -0.5?\nAnswer: -24957162177.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 234280, 937119, 2108516, 3748471?\n\"Answer: 234279*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21440?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23*r. Let n(f) = -42317*f. Calculate n(j(q)).\nAnswer: -973291*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:15 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 526 - 483. Which is greater: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200332201 (base 4) in base 7?\nAnswer: -1101541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 7:08 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let o(l) be the third derivative of -1\/15*l**3 + 0*l**4 + l**2 + w*l + 1\/150*l**5 + 0. Suppose o(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.2 - -2.9. What is the second biggest value in n, 0.05, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -73*r**2 - 675*r - 163. Determine q(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -2.098. Let g = n + 0.10102. What is g rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263 - -4782?\nAnswer: 4a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114425 + 2?\nAnswer: 114430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/96 and 5\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1985*n**2 + 4*n + 16. Let l(k) = -7940*k**2 - 18*k - 71. Give 9*j(y) + 2*l(y).\nAnswer: 1985*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (68 - -2) + (-20 - -19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -63*p - 5475. Let w be i(-87). Let u(a) = -4*a**2 - a - 7. Give u(w).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 - 2*p**2)*(-12*p + p**2 + 9*p - 3*p**2)*(-1 + 5 - 5)*(-2*p + 5*p - 2*p).\nAnswer: -4*p**5 - 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 173281626 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/53675 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 - 9*x. Let j(m) = 21*m**2 - 18*m. Let w(f) = -10*h(f) + 4*j(f). Find the second derivative of w(o) wrt o.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511884616 to the power of 1\/2, to the nearest integer?\nAnswer: 22625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0)*(-2*f**3 + 0*f**3 + 3*f**3) - 15*f**2 + 6*f**3 + 15*f**2 to y*f**2 + j*f**3 + i*f + c and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.44 - 1.44. What is the closest to 1 in -4\/5, 0.3, 0.1, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*2\/8 + 3. Find the second derivative of 2*y**3 - h*y - y**3 + 2*y**3 - 2*y**3 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2034 + 2036. Let o = -0.2 - -0.2. Let m = 0.1 + o. What is the closest to m in y, -4, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 22*b - 1. Let k(a) = -23*a. What is -3*k(n) - 2*t(n)?\nAnswer: 25*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -566.9999689 - -567. Round g to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-115 - 46 + 16)*((0*q**4 - 2*q**4 + 4*q**4)*(-1 + 1 - 2) - 2*q**4 + 2*q**4 + 2*q**4) as i*q**3 + l*q**4 + x + n*q + h*q**2 and give l.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*k - 149. What are the prime factors of k?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 2*j + 6 - 35*j**3 - 2.\nAnswer: -35*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f. Let u(q) = -1041*q. Let m(j) = -141591*j. Let c(p) = 4*m(p) - 545*u(p). What is x(c(a))?\nAnswer: 4905*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let w(c) = 3*c + 54. Determine z(w(f)).\nAnswer: 18*f**2 + 648*f + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1271 divide 5697893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.05 (b) -3\/4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (((-12)\/36)\/(2\/(-90)) - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -18 - -30)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 6*g**2 + 8*g - 7. Let j be k(5). Which is smaller: j or -65?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 18447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13279450 is divided by 307.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b**2. Suppose -3*w - 1 - 2 = 2*a, 5*w + 3*a = -4. Give x(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 6*o - 12. Let m = 65 - o. 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: Is 11299363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1)\/2 - 16320\/(-2040).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4156\/5 + 832. Which is the closest to t? (a) -2 (b) -11 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(4 - 3 - 2) - 2 + 0 - 1)*(87*m**3 + 38*m**2 - 32*m**2 - 88*m**3 - 19*m).\nAnswer: 2*m**3 - 12*m**2 + 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (-48)\/4 - 466\/(-120) and 73\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8432)\/(-13090) - 8\/14)*(-10)\/(-12).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 + 10 + 0*d**2 - 4*d**2 - 20*d - 5*d. Is 12 a factor of h(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66468 is divided by 7575.\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*n + 2*n - 2 = 0, 3*a + 3*n - 9 = 0. Suppose a*i + 73 = -2*y, 2*y + 4*i = 2*i - 58. Let q = -20 - y. Solve -2*f + q = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1088) + (sqrt(1088) + -1)*6 + 3 - ((1*sqrt(1088)*3 - (-5 + sqrt(1088) + -1)) + 4))**2.\nAnswer: -720*sqrt(17) + 27281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-11 - (5 + -14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-14))\/(5\/(-20)). Let p = -0.139 + 0.029. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3573 - 2492. Calculate the remainder when i is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 3.66, 2, -5, 17.5, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b - 153*b - 57*b - 5*b - 265*b.\nAnswer: -457*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0163347 decades to millennia.\nAnswer: 0.000163347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1068*h**3 - 5*h**2 - 2*h - 12381 wrt h.\nAnswer: 6408*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2057) + -1)**2 + 5 - (sqrt(51)\/(2*sqrt(3)*1) + 5).\nAnswer: -89*sqrt(17)\/2 + 8229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 91. Let u = 2 - 2. What is the nearest to -1 in 4, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274553 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y + 3. Let s be h(0). Calculate the highest common divisor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631 is divided by 445?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8582 is divided by 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -556974\/5 + 111395. Find d such that -s*d**2 + 0 + 29\/5*d = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 - (-32 + 9 + 20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*c - 35*c + 21*c + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = -2*n, -8*m - 3*n = -3*m - 3. Suppose 11*t = -m*t + 42. Solve -7*d + t*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - d = -23 - 1, -16 = -4*d. Solve -6*m = -p*m - 6, 9 = -3*o - 2*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6, -8, -22, -36, -50, -64?\n\"Answer: -14*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/14954 and -7\/343942?\nAnswer: 343942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 10, x: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/129691 and -24\/13.\nAnswer: 1685983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12979223 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 53. Suppose -4*h - 86 = -2*j, -3*j = 5*h + 145 - 43. Let m = -22 + 38. Calculate the smallest common multiple of i(h) and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5462.4 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-90)\/39) + 23\/(-115) - 378\/(-140)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29870 divided by -5?\nAnswer: 5974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -13158256?\nAnswer: 2631651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20090 divided by -1204?\nAnswer: 1435\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-15) + (4\/(-6)*9 - -4). Suppose -8 - 4\/3*n + 4\/3*n**t = 0. Calculate n.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810703?\nAnswer: 47, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 - 8*c. Let d(y) = -8*y + 7. Give d(r(x)).\nAnswer: 24*x**2 + 64*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -53*f - 687. Let y be i(-13). Let d(g) be the third derivative of 1\/210*g**5 + 0*g**3 + 0 - 6*g**y - 1\/84*g**4 + 0*g. Suppose d(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 143238)*(-25)\/30*1. Let j = v - 80232. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3 + (-1)\/(-1) + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37502 - 0?\nAnswer: 37502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.1. Let f = 2 - 1.6. Let z be 1\/6 - 7\/(-210). Which is the closest to -0.1? (a) x (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572 (base 13) in base 12?\nAnswer: -1993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/4)\/d*d)\/d**2*(d\/(d*(d\/d**(1\/3))\/d*d*d))**(-5))**(4\/11) assuming d is positive.\nAnswer: d**(103\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -70. Suppose -5*x = -0*x + q - t, -22 = -x - 4*q. Let u be (-3)\/2*(-8)\/42. Which is the nearest to x? (a) -0.1 (b) u (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50165 divided by 3\nAnswer: -50165\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n)*(-18 + 1 + 1)*(-2*n - n + 4*n).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 716581\/2457924 + -178\/609. Are 1 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.5, 6, -7, 3\/5 in increasing order.\nAnswer: -7, 0.5, 3\/5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3297 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 548479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -415, -2, 2, 5, -11 in ascending order.\nAnswer: -415, -11, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -22312023?\nAnswer: 22312100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -708 + 2112 - 122*x + x**2 - 29*x + 151*x in the form v*x + o*x**2 + p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -53. Let q be (b\/(-12) - 3) + (-242)\/(-4). Let w = q + 24. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -7. Suppose -s*w + 4*j + 52 = -55, 72 = 3*w - 5*j. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -6*k + 2*k. Let n = -617 + 621. Suppose -n*l - 4 = -k*l. Solve 5*u - l = 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657479 divided by -4?\nAnswer: -2657479\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 47 = 7*w. Let y = w + 39. Let h(f) = f**3 + 10*f**2 + 14*f + 19. Is h(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63607*l**3 - 63952*l**3 + 191497*l**3 - 63948*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1536, 2927, 4020, 4665, 4712, 4011?\n\"Answer: -25*w**3 + w**2 + 1563*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263834.\nAnswer: 2, 19, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 2:01 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*n**3 + 2*k*n**2*w**2 - 10*k*n*w**3 - 2*k*n*w - 7*k*w**2 + n**3*w**3 - 740197*n**3*w**2 - n**2*w**3 - 1807*n**2*w wrt n.\nAnswer: -12*k + 6*w**3 - 4441182*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3508\/5 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose 12 = r*w - 8. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*d - 8, 2*d + 6 = 3*o - 0*o. Let n(b) = -3*b**2 + 2*b**o + 8*b**2 + b**2. Let z(f) = 6*f**2. Determine n(z(g)).\nAnswer: 288*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 133, 456, 1087, 2128, 3681, 5848?\nAnswer: 8731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1401 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 91, 88, 87, 88, 91, 96?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-2)\/(-11) - (-12 - 1740\/(-132))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = 5*a - 0*a, 4*s - 4*a - 4 = 0. Suppose -5*v + 16 = 3*t, 5*v - 2*t = 3*v. Let d(x) = x + s + v - 3. Let n(j) = -7*j. Calculate d(n(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*k**2 + 4*k**3 - 15*k**3 + 0*k**3 + 9*k**3 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 20.32\nAnswer: 2.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1, 9\/2, -733?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 3*r**4 + r**2 + 8. Find the second derivative of t(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7519048.\nAnswer: 2, 939881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -12*b + 6. Let q(c) = -14948*c - 1. Calculate q(k(i)).\nAnswer: 179376*i - 89689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000261979328 rounded to seven dps?\nAnswer: 0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*a**2 - 39*a**2 - 58*a**2 - 43*a**2)*(-1 + 1 - a**2).\nAnswer: 196*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33, -28, 7, 72, 167?\n\"Answer: 15*x**2 - 40*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12283 + -11412. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 13 = 4*q, 2*m - 1147*q = -2266*q + 1136*q + 48 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 32*o + 22 = -4*u, -41 = -5*o + 2*u. Solve n + 2 = -i, o*i + 26 - 16 = 3*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k, -i + 3*k - 4 = 4*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5017*u**2 + 15*u**3 + 5017*u**2.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/4 - 104*x**2 + 3. Suppose -5*v - 6 = -1. Is t(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1049035 = 36*p + 1046119 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/d**(1\/4))\/d)\/(d*d**(-5)))\/(d**7\/(d**(-5\/6)\/d*d)))\/((d*d**(1\/2))\/d*d\/d**(-10))**37 assuming d is positive.\nAnswer: d**(-5155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vggmvvmvkevvkvf?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -20. Solve -t*d + 3*g = -6*d + 24, -d - 13 = -4*g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Suppose c*g + 2 = 2*r, 4*g + 5*r = -15 - 22. Put g, 3, 5 in ascending order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -173*v**6\/30 - 181*v**5\/12 - 2*v**2 - 224. Find the third derivative of t(w) wrt w.\nAnswer: -4152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b - 11. Let c be o(-5). Let y = c + 51. What is the third smallest value in -0.1, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2. Let y(p) = -89*p + 3713. What is y(b(d))?\nAnswer: 178*d**2 + 3713","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31aa55 (base 11) to base 15\nAnswer: -a1c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2)*-3)*-5.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.196931 kilograms?\nAnswer: 7196931000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15580124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*x - 3*k, x - 16*k = -11*k + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10100100?\nAnswer: -10100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**7\/5460 + h**6\/780 + h**5\/390 + 20*h**3\/3 + 22. Let l(y) be the third derivative of p(y). Let l(f) = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2773, 1419, 65, -1289, -2643, -3997?\n\"Answer: -1354*b + 4127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -181192 by 88.\nAnswer: -2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -12*p**3 - p**2 + 1. Let i be a(-3). Let q = -212 + i. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -473317\/12024 - 16\/1503. Let p be -26*(-2 + (-4)\/(-8)). Let m = p + b. Is 1 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + 1)\/((-4)\/(-2)) - 1. Let p(k) be the first derivative of 7*k**4\/2 + k**3\/3 - k**2\/2 + 5. Calculate the lowest common multiple of p(t) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.4 - -3.6. Let u = l + -9. What is the closest to u in -3, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/4 + 165*q**2\/4 - 7623*q\/4 + 65219\/4 = 0. What is q?\nAnswer: 11, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = -s. Let j be (4\/6)\/(s\/9). Solve 0*l = 4*l - 12, 0 = 3*m - j*l + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48242 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 = 9. Suppose -5*s = -4*b + 3 - 22, -3*s + 5 = -g*b. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338750 and 47696?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -186846 - -0.038?\nAnswer: -186845.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 24 = f, f = 2*i + 6*f - 16. What is the lowest common multiple of i and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + x + 4 = 0, -3*k - k - x = 4. Suppose k = 2*l + 10 - 40. Calculate the highest common factor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 5:00 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -80, -72, -54, -20, 36, 120?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -6 - -3 - (-3 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-28)\/63)\/((-4)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + h - 3)*(0*h + 0*h - 2*h**2) - 1 - h**3 + 3 - 1 + 4*h**3 - 8*h**3 - 5*h**3 as f*h + b*h**3 + x + r*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/((-1)\/(-6)). Suppose w - 2 = -3*t, -2*t - 4*w + f*w = -24. Solve -2*b + 3 = -3, 23 = -t*r + 5*b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**6\/120 + n**4\/24 + 3*n**3 + 3*n**2. Calculate the least common multiple of 12 and w(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 678, -2, 48, -1, 22, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 5:41 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 19318?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h**3 - h**2. Suppose 3*i - 55 = 56. What is the remainder when i is divided by o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -364744?\nAnswer: -364741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10459993 is divided by 2306?\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7765312949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -13, -37, -79, -145?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 2*a**2 + a + 4. Let l(y) = -y**3 - 2*y**2 + y + 5. Let c(o) = 3*l(o) - 4*q(o). Let t(n) = n**2 + 6*n - 2. Let v be t(-6). What is c(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + -15)*-3*3. What is the remainder when 46 is divided by 4\/18 - (-530)\/i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 1\/4*k**3 + 61 + 0*k + 9\/8*k**2. Solve c(m) = 0 for m.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17140396 is divided by 307.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/4)\/v**(-10\/3)*(v**(4\/7))**48)**(1\/21) assuming v is positive.\nAnswer: v**(2689\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**3 - 3*w**2 - 3*w - 8. Is s(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -181502, -1\/5, 20, 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/3))\/j**5*(j**0)**(12\/5))\/((j**(1\/4))**(5\/2)\/(j**(-2\/3))**(-50)) assuming j is positive.\nAnswer: j**(673\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -101*k + 104*k + 3, 30 = 7*c - 3*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14394e + -5?\nAnswer: 143949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h = 32*h - 234. What is the remainder when h is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6584*p - 40. Let l be z(-15). Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = 0, -65 = x - 4*x - 5*l. Calculate the remainder when (-43 - -1)\/(-2 - -1) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5. Let i be (-16)\/12*-3 + u. Solve f - 4*w - 24 = -9, 4*f + 24 = -i*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -3 (c) 3 (d) -2\/9089 (e) 4 (f) -1\/6 (g) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5399273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:06 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1)*((-5)\/(-5))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1687301 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 4. Let m be i(3). Let r be 1\/m - 1\/(-2). Let q(b) = -3*b**3 + 4*b - 4. Let y(w) = -w**3 + w - 1. What is r*q(j) - 4*y(j)?\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 0, 3*f = -4*q - 9 + 49. Solve q = 2*m - 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-10))\/(0 - (-6)\/315). Suppose 0 = -y*t + 40*t + 106. Calculate the remainder when t is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8613472733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 381.87 - 376.87. Which is the third biggest value? (a) -157.8 (b) 0.2 (c) i (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + (102 - 42) - 39?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13 - (2 + 11))\/(-4). Which is smaller: 4\/677 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8170704, -16341435, -24512166, -32682897, -40853628, -49024359?\nAnswer: -57195090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 29*f. Let i be 2\/11 + (21\/44)\/((-1)\/(-8)). Let c(y) be the second derivative of 15*y + 0*y**3 + 1\/12*y**i + 0 + 0*y**2. Determine r(c(w)).\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/1421 - 218\/1421. Which is the nearest to 5.1? (a) -0.5 (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5078 is divided by 2527?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than 45190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55632 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*o = 681*o - 17724 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 60*m**2 - 2*m + 8. What is r(2)?\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j**4 + 4*j**4 + 2*j**4 + (3 - 3 - 2*j**3)*(-3*j + 0*j + j) + 0*j**4 - 4*j**4 + 8*j**4 to o*j**3 + r*j + y*j**2 + m*j**4 + x and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymp when three letters picked without replacement from {p: 3, m: 1, o: 5, y: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + (4 - (-320)\/(-12)). Let u = h - -34. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Suppose -4 - 2 = -2*v. Suppose 0 = -q*r + r - v. Is 2\/11 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 - 8*i**2 - 19*i + 1. Let c(y) = y**3 + y - 1. Let a(b) = 4*c(b) + l(b). Is 31 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 - 3*j - 6. Let g(p) = -p - 2. Let s(d) = 2*d**2 + 2*d + 5. Let a(b) = -2*g(b) - s(b). Let x(h) = -3*a(h) + z(h). Determine x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-35) + (-2)\/(-7). Suppose -3*v - 4 = -v. Are c and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7655909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875dda (base 14) in base 2?\nAnswer: 101110001110010111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 6)*(-24)\/(-9). Suppose -4*x - 2*p - 3*p = -25, -x - 4*p = -9. Suppose x*n - 35 = -10. Solve -s + 5*v = 2*v - r, n*v = -4*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-447)\/6)\/(1\/2). Let z = 239 + y. Does 30 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121 and 49154.\nAnswer: -5947634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nhnnhhhhhhhhnn?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 1:37 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6600 (base 7) in base 14?\nAnswer: -c00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 26 - 8 = 5*m, 2*s + 4*m - 14 = 0. Put 4, 0, s, -7 in ascending order.\nAnswer: -7, s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36426?\nAnswer: 2, 3, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3982257 - -3982279.46313. Let w = u + -0.46329. Let r = 22 - w. Round r to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1792 - 1794 + 5386 - 1068*l**2 - 1800.\nAnswer: -1068*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -2*sqrt(500) + sqrt(500) + sqrt(605) + 2 - (-1 + (sqrt(15)\/sqrt(3) + -3 - (sqrt(5)*2 + -5)))) + -5.\nAnswer: -4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 628*p - 3650. Determine o(6).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/480 - 3261*s**5\/80 + 10634121*s**4\/32 - 11559289527*s**3\/8 + 5498*s**2. Solve a(x) = 0 for x.\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4769.231ng to kilograms.\nAnswer: 0.000000004769231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -305, -611, -907, -1187, -1445, -1675, -1871?\nAnswer: -2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (1 + 1) - -5. Let k(b) = 2*b + 5. Let x be k(4). Let c = x + -10. Solve -o*w + c*w = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36e9 (base 15) to base 5.\nAnswer: -333234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4513, -16854, -37417, -66202?\nAnswer: -103209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 3*s**5 - 5*s)*(-4 - 1 + 9) + 19*s**5 - 12*s**4 + 12*s**4 - 2*s**5 + 3*s**5 - 6*s**5.\nAnswer: 26*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -636*q - 27. Let g(k) be the third derivative of 49*k**4\/24 + k**3\/3 + 76*k**2 - 2*k - 9. Calculate -2*b(z) - 27*g(z).\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - -3 - -1 - -7. Solve 5*i + 14 = 4*u, m*u + 4*i - 3 = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -383689*x**3 + 682*x**2 - 13 wrt x?\nAnswer: -2302134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/156*(-63)\/9?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + 1 + (-7 - -4) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -9. Let t = s + 31. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*f + d, 0 = f + 3*d - 4*d - 13. Suppose -w = -20 + f. Let l(v) = -v - 2. Let c be l(-2). Which is greater: w or c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 12.\nAnswer: -8, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/11))**(2\/7))**30)**(-1\/46) assuming n is positive.\nAnswer: n**(-30\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 2, s: 1, h: 4, g: 1}. Give prob of sequence cc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -42*y + 711. Is g(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -96.4. Let i = w - 36.4. What is the nearest to -2 in 0.4, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6)*(-6)\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -b80 (base 13) to base 6\nAnswer: -13031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -1, 3551, -9 in descending order.\nAnswer: 3551, 4, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 41 + 12 + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/3, 13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/(8\/(-16)). Suppose -5*p - j*z = 2*z + 15, p = 3*z + 1. What is the remainder when 8 is divided by ((-15)\/6 + 0)*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378754?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 216 = -25*x. Let h(z) be the second derivative of z**5\/20 + 7*z**4\/12 + 2*z**3\/3 - z**2\/2 - z. Is h(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 71901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1194714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((-36)\/(-8))\/(-9). Suppose -5*y = 2*m - 127, u*y - 49 = -2*y + m. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbabbbaa. What is prob of sequence bb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + s - 59 = 0, -5*p + 153 = -5*s + 208 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/53 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*x + 546*x = -234. Calculate the remainder when 597 is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 10*p + 4. Let l be (0 + p + 2)\/1. Let i be 1*(3 + -2)*l. Solve 10 = i*x - x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/13 (b) -6 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57597.\nAnswer: 3, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33181.\nAnswer: 33181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*(-5 + ((-2*sqrt(1053))**2 - (sqrt(13) + -1 + -1))).\nAnswer: -2*sqrt(13) + 8418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**3 + 27*i**3 + i**3 + 2*i**3 + i**3 - 5*i**3 + (i + 2*i - 2*i)*(0 + 0 - 2*i**2) - 2*i**3 + i**3 + 3*i**3.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**(1\/43)\/(((z\/z**(-2\/13))\/z)\/(z**6*z*z))*(z**(2\/3)*z*z)\/(z*z**(3\/4)\/z)*(z*z\/(z*z**8)*z)\/z*z**(1\/2)\/z assuming z is positive.\nAnswer: z**(15335\/6708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/592690 and 73\/10?\nAnswer: 592690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8638 and 4550?\nAnswer: 3930.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1055430\/4455 - (-24)\/22.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83812.49ml?\nAnswer: 83.81249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8568 and 136374.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/1819 (b) -2 (c) 2\/25 (d) 2\/7 (e) 3 (f) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(72)\/sqrt(4)*2 + -6*(sqrt(18) + (sqrt(18) - (sqrt(18) + sqrt(72) + sqrt(18))) + sqrt(18)))*-5)\/((sqrt(270)\/sqrt(40))\/sqrt(3)*1).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.1. Which is bigger: -1.4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Suppose -2*z + 5*y + 12 + 3 = 0, u*z + 4*y + 12 = 0. Let v = 2 + 1. Put v, z, -5 in decreasing order.\nAnswer: v, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 25*h + 84. What is b(5)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/12 - 13*l**3\/6 - 19*l**2 + 119*l. Determine b(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.4 + -6.24. Let l = t + -1.081. What is l rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 + 9*b - 13. Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppoop. Give prob of picking 1 o and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 17. Let h = w + -2. Suppose h = z - 1. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*f + 3, -4*f + 9*f + u + 33 = 0. List the prime factors of ((-8)\/(-10))\/((-2 - f)\/240).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 199*z - 3. Let i be h(5). Suppose 0*o - 4*o - 7*p + 40 = 0, 4*o = 2*p - 32. List the prime factors of (i\/(-6))\/(-1) + o\/12.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1, -4, -133, 0 in increasing order.\nAnswer: -133, -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 77120 not equal to 5.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 74*o**2 - 1192*o + 128 = 0.\nAnswer: 4\/37, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-20 - -12 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1819713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.959 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124.6? (a) -5\/6 (b) 3.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 893650 and 1161745.\nAnswer: 11617450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2633? (a) -0.3 (b) 16 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*a - 0*r - 9022, 4*r = 16. Let t = -1751 - a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c + 165. Let a be f(9). Let u = 107 - a. Solve -m + l - 2*l = 8, -u*m = -2*l + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -2, -5\/43, 0.0373, -3\/8, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, j: 2}. What is prob of sequence jn?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0969 - -0.0269. What is the fifth biggest value in z, -8, -4, -14, -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 3*z + 0*z - 38 - z. Let i be d(-28). What is the greatest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 - -6. Let w = -95.1 - -95. What is the closest to w in -0.3, 0.4, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 405\/1723459 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - (3 + -6 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w = 12. Suppose -w*d = -d. Suppose -15 = -3*u, d = 4*h - 3*u + 8*u - 61. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 270 - 24 = -3*q, 0 = -2*z - 5*q + 581. Solve -7*u = -46*u - z for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269 - 207. Let m = 227 - y. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llz when three letters picked without replacement from {z: 1, y: 6, l: 11}?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-6)\/(-12)). Let s be u - 2*(-2)\/4. Let l(f) = f**2 + 5*f - 5. What are the prime factors of l(s)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26983)\/(-1210))\/(-223) + -2*22\/(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 6*v**2 - 4*v - 3. Let n be p(5). Let b(s) = -20*s**2 - 2 - s**2 + 67*s**2. Let w be b(n). What is the highest common factor of 26 and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -4\/5 (b) -405 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + i = -123, -3*k - 30 = 5*i - 135. Calculate the least common multiple of k and 105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4463312 and 1176?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 24. Suppose -3*j = -3*w + s - 5, -5*w - j + 19 = 0. Suppose -2*t = 3*h - 51, 3*h - 7*h = w*t - 74. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/80*(11 - -1). Suppose 3*k = p - 65, 2*p - k + s*k - 162 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {b: 3, l: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073 divided by 1?\nAnswer: -1073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -170*k - 966*k - 3 + k**2 + 1132*k. Suppose -4*a - a + 23 = 2*t, 3*a - 3*t - 18 = 0. Determine c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.67, 1\/2, -1\/7, -1\/5, 47, 0.\nAnswer: -1\/5, -1\/7, 0, 1\/2, 0.67, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:31 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52404.1072 and 0.767.\nAnswer: 52404.8742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k. What is the lowest common multiple of (((-1386)\/(-35))\/(-18))\/((-2)\/30) and o(-3)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -31?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4427\/14430 - -1\/1110. Factor x + 10\/13*h + 2\/13*h**3 + 8\/13*h**2.\nAnswer: 2*(h + 1)**2*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2819360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 40 = v. Let k = v - 15. What is the highest common factor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*m + 93 - 192 + 82 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -35, -5919, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.1 + 4.4. Let r = q - -4.69966. Round r to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.787 minus 23.48014621?\nAnswer: -243.26714621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2157 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45.70532 nanograms?\nAnswer: 0.04570532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1. Let i(m) = 4*m - 7. Let v(j) = i(j) + 4*y(j). Let s be v(2). Which is the smallest value? (a) -1 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -18.2362 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-4)*14\/(-84)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300174990.\nAnswer: 2, 3, 5, 7, 748339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 3*b**3 - 4*b)*(-2*b + 5*b - 2*b + (0*b - 3*b + b)*(-1 - 1 + 1)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120 + -599\/5. Sort 0.1, a, 0.111 in descending order.\nAnswer: a, 0.111, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {j: 4, v: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(32)*-3))\/(-2*(sqrt(4) + sqrt(64))*-2).\nAnswer: -sqrt(13)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**5\/15 + 35*c**2. Let o = 9 - 7. Let q(k) = -k + k - 12*k**2 + 14*k**o. What is v(q(x))?\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*3\/(-9))\/(165\/(-99)). Let y be ((-27)\/15)\/((-3)\/2). Factor y*q**2 + b*q**4 - 4\/5*q + 1\/5 - 4\/5*q**3.\nAnswer: (q - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 2*g**3\/3 - 2*g - 2. Let a be b(-7). Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 4*n**2 + 3*n + 1. Let t be (-3)\/(-3) + 1 + (-3 - -1). Let m(l) = 6 + t*l**3 - 7 + 4*l + 4*l**3 - 9*l + 7*l**2. What is 3*m(x) + 5*o(x)?\nAnswer: 2*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -77*r - 1327. Let j be w(-17). Sort -5, j, -1 in ascending order.\nAnswer: j, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1460*0.387\nAnswer: -565.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5095 - -5098. Which is the second smallest value? (a) -1 (b) 2\/9 (c) k (d) 15.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2345)\/(-1792)*14\/245 and -21\/320.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -556364*f*u - 15*f + 5212512*u with respect to f.\nAnswer: -556364*u - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 + 15*q - 2. Does 6 divide r(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102113 - -32320?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124066?\nAnswer: 2, 17, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d. Let j be (-2 + d + -8)\/(-1). Is 13 a factor of (4\/j)\/((-2)\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) - (1 + sqrt(2))) - sqrt(12)\/(sqrt(6) + sqrt(12)\/sqrt(2)) - ((sqrt(50) - sqrt(150)\/sqrt(3))**2 + 3).\nAnswer: -8 - sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 849587013\/320 - 2654956. Let c = z - -15\/64. What is the common denominator of c and -29\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2160 + -17219\/8. Suppose r - 352 = -3*r. Calculate the common denominator of ((-206)\/r)\/((-1)\/(-2)) and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s - 151 + 8*s - 197 + 394. Calculate i(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 7:27 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h + 56*h = 8. What is the third smallest value in 5, -1, h, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 36\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43206688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 + 551. Suppose 0*y - f = -2*q - 3*y, 344 = 3*q - y. Suppose q*t + 9 = 119*t. Solve 0 = -z - 5*j + 24, -t*j - 2*j + 12 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-1)\/((-2)\/(-4)). Let g(t) = -7*t**2 - 12*t + 39. Let v(k) = -2*k**2 + k + 1. Let h(l) = -g(l) + 4*v(l). Is 13 a factor of h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2572311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**31)**49)**45 assuming m is positive.\nAnswer: m**68355","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1862*y + 4*c + 251 = 1865*y, 4*y - 4*c = 328. Solve 15*s = y - 32 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2337 - -9555. Let m(o) = -14507*o + c*o + 7217*o. Let u(v) = -2*v. What is m(u(x))?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 6*x + 6. Let n(f) = -4*f**2 + 5*f - 5. Let l(i) = 6*n(i) + 5*u(i). Let d(p) = -p + p - 3*p - 2*p. Give d(l(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/3 - 2 - -4. Let r = 0.04 + -5.04. Which is the nearest to l? (a) -1\/4 (b) -1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -2481 + 2327 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 0*g + 0*g)*(0*g + 3*g - 2*g) - 4*g + 560832*g**2 + 6*g - 560878*g**2 + 141 to l*g + x*g**2 + j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2)*(2*p + p**2 - 2*p)*(-4*p + 2 + 5*p - 4*p).\nAnswer: -9*p**3 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 35*k - 34 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*3\/(-6))\/(-2). What is the nearest to x in -3, 3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 574*w**2 - 582*w + 1736. What is s(288)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**3 + 49*m**2 - 12*m - 4. Let c(t) = -6*t**3 + 47*t**2 - 10*t - 3. What is -6*c(n) + 5*u(n)?\nAnswer: n**3 - 37*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*-4 + 4)\/(-2). Suppose -5*b = -s - 75. What is the third derivative of b*u**2 - 1 + 46*u**3 + 1 - 28*u**3 wrt u?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 311269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*((sqrt(405) - (sqrt(405) + 0)*4)**2 - sqrt(405))*2 + (1*sqrt(405)*1 + sqrt(405) + 5)**2*-5.\nAnswer: -30096 - 846*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -4 + (-15 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 13*x**2 - 10*x + 7. What is the tens digit of v(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673 + 1097 = 10*q. Is q a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125467 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 210212 (base 3) to base 15\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(152)\/sqrt(8) - (sqrt(19) + sqrt(19) + sqrt(19) + 2 + -4))**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69650208 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1173.1*4.\nAnswer: -4692.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, -181, -853, -2155, -4297, -7489, -11941, -17863?\nAnswer: -25465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11406*m**2 + 3 - 2*m**4 + 6*m**3 - 11406*m**2 in the form q*m**3 + o*m + l*m**4 + f*m**2 + j and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58921527, -58921522, -58921515, -58921506, -58921495, -58921482?\n\"Answer: r**2 + 2*r - 58921530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22410*q - 17*q**3 + 22410*q.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152975790.\nAnswer: 2, 3, 5, 11, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuwwuwuuwgu. What is prob of sequence ww?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-4)*(-6)\/(-8)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -399.1 bigger than -3\/189286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 - -1.15. Which is the nearest to -2\/3? (a) -0.5 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.6217 to two dps.\nAnswer: -36.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**3 + 8*u**3 - 20*u**2 - 5*u**3)*(1491*u + 1844*u - 7307*u - 8310*u) to y*u**3 + h*u + n*u**2 + z*u**4 + m and give y.\nAnswer: 245640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 42 = -3*w, 2*w - 3*w = -5*z + 10. Let f be -1*(22\/5)\/((-2)\/w). What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.40856 years in months?\nAnswer: 112.90272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7702678\/7 or -1100383?\nAnswer: -7702678\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2895 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*(((k*k\/k**(-2\/69))\/k)\/k)\/k)\/((k\/k**(-7)*k)\/k) assuming k is positive.\nAnswer: k**(-412\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 7*b + 5. Let g be j(-6). What are the prime factors of g*(1 - ((-5 - -2) + 3))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) - 192\/378?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 170 = -152. Suppose 10 = -2*c + 4*a + 4, f*a = 2*c + 2. Solve -4*b + 12 = -0*b + 4*q, -b = -c*q + 21 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1945 and 2723?\nAnswer: 13615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -571 = 4*d - 595 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 4)*(-3 + 3 - 4)*(1 - 3 + 0)*(-1074 - 904*p + 974*p + 1045) as j*p + z and give j.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or -690\/3646883?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 5*f**2 - 7*f + 17. Determine d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799691 is divided by 204?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2051641450 + 0.14.\nAnswer: 2051641450.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 1088 - 2165 + 1077 - 26*j + 29*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 4:03 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7200) + -1 + -1 + sqrt(200))*-3 - (5*sqrt(320))\/(sqrt(490) + sqrt(490)*-3 + sqrt(490)))**2.\nAnswer: -17400*sqrt(2)\/7 + 4206764\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 82\/(-4). Suppose 3*w = 6*w - 6. Suppose 0 = -3*i - w*i + 15. Calculate the greatest common factor of i and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 138 + 8 = 0. Let i(x) = x**3 + 27*x**2 + 21*x - 31. Let g be i(h). What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47454*r**5 + 2*r**4 - 4*r**3 - 12167067*r**2?\nAnswer: 2847240*r**2 + 48*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 519. Let g(l) = l. What is g(w(f))?\nAnswer: f**2 + 519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 55*g**3\/3 - 5*g**2 - g - 1. Let f be h(6). Suppose -b - 4*i + f = 0, 0 = -4*b + 2*i + 9490 - 1832. Is b 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 3368321, 3368240, 3368111, 3367940, 3367733, 3367496, 3367235, 3366956?\n\"Answer: y**3 - 30*y**2 + 2*y + 3368348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -84. Suppose -4*l - 2*q - 11 = f, 3*l - 4*q + 62 = 0. Let p = -13 - l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -a + 340, 3*s + 1960 = 4*a + 600. Suppose 3*v + v - a = 0. Let r be 4\/(-14) - (-242)\/14. Calculate the highest common divisor of v and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 9*m**2 + 25*m - 7. Calculate s(12).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.369*-114.\nAnswer: 42.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5418.131 and -3?\nAnswer: -16254.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from {u: 2, i: 1, n: 2, t: 1, x: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxsqsxs. Give prob of sequence xsx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*o + 4, 0 = 3*f - 5*o + 6*o - 7. Suppose -3*b = -f*b - 20. Suppose 5*r = 10, 5*p - r + 2 = b. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3860 and -241.\nAnswer: -4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 108844*d**2 - 870560*d + 1740992.\nAnswer: -4*(d - 27203)*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from lfg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/42*(-591)\/(-5). Let d = x - -76\/7. Let o be (-2)\/((-2)\/(-1 - -5)). Put o, -1\/5, d in descending order.\nAnswer: o, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37122 divided by 1469?\nAnswer: 37122\/1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k + 17029 = 16991 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y - 9 = 0. Which is the closest to -2? (a) 1 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 + 1 - 3*s - 13 - 3*s**3 - 8428*s**2 + 8420*s**2 to the form c*s**4 + n + u*s**3 + k*s + t*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) + 1*sqrt(19) + -3 + 1*sqrt(76)).\nAnswer: -18 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/20 - l**4\/12 - l**3\/6 - l**2\/2 + 155*l. Let a(o) = 5*o**3 + o**2 - 2*o**3 + 1 + o + 0. What is -a(f) - d(f)?\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 + -185. Suppose -o*p + 418 = -7*p. Calculate the remainder when 70 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67819\/15690 - 58\/523. Calculate the common denominator of -63\/5 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(130) - sqrt(130) - -6*(-3*sqrt(130) - sqrt(130)))\/(-3*-5*-1*sqrt(250)).\nAnswer: 9*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 780 - 260 - x**2 - 254 - 265 to the form u*x**2 + a*x + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*q - 9 - 5, 0 = -4*g - 5*q + 28. Suppose 2*v - 5*a = 355, -4*v + 0*a = g*a - 650. Does 33 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 10. Let n be g(8). Suppose -3*a + 0*c + 11 = -n*c, -2*a = c - 5. Solve x + 2*x = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -811*d + 37317. What is r(46)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138761171909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*(sqrt(76)*-1 + sqrt(76)) - (sqrt(76) - -2*(sqrt(76) - -2*sqrt(76)) - sqrt(76)))*-5 + -1)**2*3.\nAnswer: 2160*sqrt(19) + 7387203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -3, 13, -1 in descending order.\nAnswer: 13, 0, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1288 - 10?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 1.1. Let s = b + -1.02. Let i = s + -0.32. What is i rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 9 = 1, -2*z - i = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2774 is divided by 2756.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -9. Let x = -3.5 - -3.5158. Let l = -0.1158 + x. Which is the closest to l? (a) 3 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 9*x - 8. Let c be h(-7). Suppose 0 = 3*n - c*n. Suppose 0*w - w = n, 4*a = 3*w + 44. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*k - k + 20, -4*m + k + 12 = 0. Suppose 3*y - 174 = -0*y - 2*c, -m*y + 111 = 3*c. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqonoqqilooo. Give prob of sequence qoi.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhqhvvovvhhvvhh. What is prob of picking 1 h and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -589.74 and -1.\nAnswer: -590.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 47*v**2 + 26*v - 75. Let w(b) = 12*b**2 + 7*b - 19. Determine 11*w(f) - 3*x(f).\nAnswer: -9*f**2 - f + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.3, 19.2246?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 112. Which is smaller: r or -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 113 = -37 - 12 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1 - 3*k - 3*k + 5*k. Let l be d(-4). Suppose -39 + 35 = -2*h. Sort 3, l, h.\nAnswer: h, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1745499.\nAnswer: 3, 7, 43, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 837 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 57 - 42 = -5*r, 6 = 2*v. What is the lowest common multiple of r and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27\/58 + 1\/29. Let u(b) be the third derivative of 0*b + z*b**3 + 1\/12*b**4 + 0 + 3*b**2. Calculate u(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 19. Suppose -2*w + 2 = l, -2*l - 3 = -2*w - 31. What is the remainder when j is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42454475*k**2 + 92730870*k?\nAnswer: 84908950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5*w**2 + w. Let o be ((-77)\/(-21))\/(-11)*3. Let m(j) = 1. Give o*l(g) + 2*m(g).\nAnswer: 5*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131125, 262250, 393375, 524500, 655625, 786750?\n\"Answer: 131125*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -15 - (1 + 10)) + (0 - -16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.059 + -0.059. Let q = -58.7 + w. Which is the fourth smallest value? (a) 0.1 (b) 1 (c) 1\/2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -34. Let p = -2711 - -2711.02. What is the third smallest value in 0, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - i**5 - i**5 + (-5 + 5 - 2*i)*(-2*i**4 - 3*i + 3*i) + 19*i**5 + 7*i**5 - 38*i**5 + 0*i**3 + 2*i**5 + 0*i**3 + (2*i**5 - i**5 + i**5)*(1 - 1 + 1).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 48 = -300*v + 308*v, -2*c + v - 6 = 0. Factor 4\/3*x**3 - 8\/3*x**2 + c*x - 1\/6*x**4 + 0.\nAnswer: -x**2*(x - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 8*v + 17. Let b be w(6). Suppose 0 = -l + 1, -4*k - 2*l + 249 = -b*l. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4073349.\nAnswer: 3, 7, 47, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 290, 1177, 2658, 4733, 7402, 10665, 14522?\n\"Answer: 297*r**2 - 4*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, 47, 62, 85, 122, 179?\n\"Answer: d**3 - 5*d**2 + 21*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 3*i**2 - 3*i**2)*(147*i + 98*i**2 - 62*i**2 - 46*i**2).\nAnswer: -10*i**5 + 147*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 332144.\nAnswer: -1\/83036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -23.05.\nAnswer: -1.1525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 1. Let u = -11 + 6. Let r = -1054.2 - -1058.2. What is the closest to u in 3, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14539 - -0.23.\nAnswer: 0.08461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1573) - sqrt(1573)*-3) + sqrt(1573) - (4*(3*sqrt(1573))**2 + sqrt(1573)).\nAnswer: -56628 - 220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -92090, -91777, -91234, -90461, -89458, -88225?\n\"Answer: 115*v**2 - 32*v - 92173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 21*k**5 + 5511*k**4\/5 - 14667*k**3\/5 - 8103*k**2\/5 - 198*k = 0.\nAnswer: -55, -2\/7, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -3440aa?\nAnswer: -3440a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*g**2 + 115*g**2 - 85*g**3 + (-3*g - 4 + 4)*(-3*g**2 + 2*g**2 - g**2) as j + p*g + n*g**2 + w*g**3 and give w.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41342700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9410, -37716, -84884, -150908, -235782, -339500?\n\"Answer: k**3 - 9437*k**2 - 2*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/18*4\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3373068 divided by 31524?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 35*w**3 + 4*w**2 + 2*w - 8. Let y(a) = -104*a**3 - 13*a**2 - 6*a + 23. Let j(v) = 17*c(v) + 6*y(v). Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*i - f, -20 = 56*i - 52*i - 4*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6384 divided by -2\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1115 + 1105.38. Let r = t + 9.32. Which is the biggest value? (a) r (b) -3 (c) 0.2 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 1 b when three letters picked without replacement from {b: 3, l: 2, p: 7, n: 1, h: 5}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7122258333 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/4 - 3*k**3\/2 + 9*k**2\/4 - k = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2454 divide 61924236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(50\/24)*442\/(-663)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12487 + 18283. Is 46 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4080 and 10797120?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1932 + 0*x - 5887 + 1886 + 2*x + 1953.\nAnswer: 2*x - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from feeeeeeeeeeeeee?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 114.83 and -0.3937?\nAnswer: -45.208571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 20590.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -212, -310, -398, -470, -520?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 582 + -282. Let u = -191 + l. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -3 + 0*q**2 + 9\/25*q**5 + 2\/5*q**3 - 3\/4*q**4 + 0*q. Factor b(x).\nAnswer: 3*x**2*(x - 1)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.077\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2158*t - 127326. Give o(59).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -19 + 16 + (26 - (-1 - -1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8365900 to the nearest integer?\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Let s(k) = -k + 9. Let b be s(7). Suppose b*z = -p + 11. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.211 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4a62 (base 13) to base 12\nAnswer: 613a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32664, -32667, -32672, -32679, -32688, -32699?\nAnswer: -32712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 + 113. Calculate the common denominator of 59\/9 and 5\/(-390)*(-99 - a).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 5)\/((-6)\/(-3)). Suppose -3*k + i = -45, k - 5*i + 30 = 3*k. What is the first derivative of k + 1360*t**s - 1360*t**2 - 7*t**3 wrt t?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -0.4 (c) 3 (d) 2\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1317 (base 8) to base 5\nAnswer: 10334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19936 - -956993\/48. Calculate the common denominator of o and -107\/76.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 3:12 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**2\/2 + 3. Let m(r) = -2*r. Give m(n(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 816 (d) 0.14111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051909069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 47 + (5 - 3) - 0. Suppose -50*i + u*i + 2 = 0. Suppose -i = -4*g + 74. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 627810725 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v*v*v**12\/v)\/v)\/v))\/v*v**(-8) assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3697\/66148?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3949940848.\nAnswer: 2, 7, 35267329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75 - 66. Solve -5*a + 16 + u = 0, -a = -2*w - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562448 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 116\/936 + (-6)\/81 + (1464\/(-162) - -9)\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 39, 17, -41, -147?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + c)*(4 + 5 + 0 + (-1 - 5 + 3)*(4 - 3 - 2))*(3 - 5 + 3) to the form z*c + y and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(14)\/sqrt(2))**2 + 1*sqrt(343) - (sqrt(252) + 6*(sqrt(252) + -3)**2).\nAnswer: -1608 + 217*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 197383267?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 32*a**2 + 13802*a + 4285. Calculate x(-431).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 86a7 - -5?\nAnswer: 8701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -2) + -9 + (-21 - -28) + -2 + 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6 - 2)*-4. Let a(f) = 2*f**2 - 3*f + 1. Let j be a(2). Suppose j*s - 1 = 5. Calculate the greatest common divisor of k and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-198))\/(20\/(-6)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3820.834 days?\nAnswer: 5502000.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98252077?\nAnswer: 7, 11, 1276001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -t + 25, -4*r - 4*t + 6 = -14. Suppose -r*c = 5*z - 225, -165 = -7*c + 3*c - z. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 9 + 0 + (50 - 110).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -8, -5, 1, 0.29628, -4?\nAnswer: 0.29628","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (28\/(-8))\/7*-979*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = 5*j + 34, -4*w = 3*j - 42. Calculate the remainder when 29 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297641 (base 12) to base 8\nAnswer: 2521721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/11, 0.123 in increasing order.\nAnswer: -2\/11, 0.123, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + 3*o)*(o + 5*o - 4*o) + 2*o**2 - o**2 - 4*o**2 - 2*o**2 - 2442*o + 183 + 2442*o.\nAnswer: -3*o**2 + 183","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 386*b - 96327. Determine l(249).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (500*a + 696*a - 1325*a)*(-3*a - 1 + 1).\nAnswer: 387*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/16*-2)\/(10\/(-40))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 210 = -3*u. Suppose -2*a = -46 + u. Solve 0 = a*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268167737?\nAnswer: 43, 6236459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019 minus -61?\nAnswer: 61.0019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23893 is divided by 932.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-42)\/(-108))*((-10)\/30)\/((-24)\/16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2797 divided by -3\nAnswer: -2797\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83042 - 24378 = -20*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 6*f**2 + 17*f - 4. Let x be o(8). Suppose -x*m = y - 117, 3*m - 322 = -4*y + 133. Calculate the remainder when y is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 14*d**2 - 25*d - 20. Give v(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7699672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:18 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 2*k = -85. Suppose 24 = 2*f - 3*z, 0 = -3*z - 12. Suppose f*t - 20 = t. Solve -k*o = -4*o + t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/57? (a) -78\/61 (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeoenxoeo. Give prob of picking 1 x and 1 e.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67320 < 67319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 226, 227, 228, 229?\n\"Answer: b + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -10, -4, 2.\nAnswer: -10, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*a + 4*u, 16 = 5*a - u - 8. Suppose 2*h + 0*h = 4*k + 12, 4*h = -a*k + 24. Let p = -2 + h. Solve -5*z - p*b - 24 = 0, 6*b = b - 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141780, -283564, -425348, -567132, -708916?\nAnswer: -850700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14454 (base 14) in base 7?\nAnswer: -266334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2835*x - 5460 = 3108*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8947*d + 8942*d + 7*d**2 - 17913*d + 280 wrt d?\nAnswer: 14*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 10. Calculate p(17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3)**(-46)*f\/f**(-7\/2)*f**1*f*f*f assuming f is positive.\nAnswer: f**(-259\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t = -30*t - 2*u + 16, u + 18 = -5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*i*l**6 + 2*i*l**4 + 14*i*l**2 + 54*i - 76*l**3 - 70*l wrt l.\nAnswer: -1080*i*l**3 + 48*i*l - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032017837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8220614, -8220617, -8220622, -8220629?\nAnswer: -8220638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 967319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -2. Let x be (m + 0)\/((-7)\/(-7)). Are x and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2624, 15259, 36318, 65801, 103708?\nAnswer: 150039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i - 4. Let d(g) = -297*g - 157. Let y(s) = 198*s + 105. Let h(c) = -5*d(c) - 8*y(c). Calculate 4*h(v) - 55*r(v).\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 58 = 5*t - 148, -5*u = 3*t - 85. Suppose t = 3*w - w. What is the units digit of ((-64)\/(-20))\/(1\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a - 35 = 0. Let r = 7 + a. Suppose r*l - l = -49. Does 24 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = -5*k, -4*f - 3*k = f + 2. Factor 0*l + 0 + 3\/2*l**4 + 0*l**3 - 3\/2*l**f.\nAnswer: 3*l**2*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79494 >= 2623336\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89168 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39442 + -39442. Factor 2\/3 + w*c - 2\/3*c**2.\nAnswer: -2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 - 50 = 3*m. Let u(v) = 9 + v + 0 + 0 + 3. Calculate the remainder when m is divided by u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 48 + -21 + -54\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18016 is divided by 14584.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 22*d + 29. Let u(h) = -13*h - 3. Let a be u(-2). What is the remainder when 17 is divided by w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108.34+0.6\nAnswer: -107.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 6:10 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6956, -5 in increasing order.\nAnswer: -5, 3, 6956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, y: 5}. Give prob of sequence yy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 906.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 104, 155, 206, 257, 308?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/97 (b) -326 (c) 0.1 (d) -1\/4 (e) 2\/3 (f) 2 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 + 0*d**2 - 3*d**2)*(-79*d + 46*d - 86*d) in the form s*d**3 + r*d**2 + q*d + z and give s.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -350*n - 629. What is q(-4)?\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 66220.\nAnswer: 66220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5192798 divided by 71\nAnswer: 73138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 16 - 2 - -4)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 59. Let k = -151 - h. Let t be (2*k)\/(1\/2). Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c + 13. Let b(u) = -5*u + 52. Let q(k) = -2*b(k) + 9*v(k). Let s be q(-5). Suppose 60 = 4*r + s. What is the greatest common factor of 65 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/63*9)\/((-23)\/((-989)\/(-43)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s - 106. Does 23 divide l(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z - 9. Let o(q) = -3*q**3 + 2*q**2 - 2*q + 1. Let t be o(1). Let u be (2 - 1)*(2 + t). Solve -z*d - 6 + 0 = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718 divided by 359.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 10 = -2*o. Let h(n) = 0*n**2 + n - n**o + n. Calculate h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**3 + 71*a + 16*a**3 - 324 + 642 + a**4 - 318 to m*a**3 + y*a**2 + o*a**4 + k + j*a and give j.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 8*f - f + 3*f + 3*f**2 + f**2 - 3*f**2 + (f + 0*f + 0*f)*(2*f - 3*f + 2*f).\nAnswer: f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35939 - -35942. Let f be (-2 + -1)*(-4)\/6. Sort 1\/6, f, t.\nAnswer: 1\/6, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 + 24 + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0) + 2 + (-2 - 49 - -24).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -26*n - 18. What is the hundreds digit of r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/22 + 2572*f**3\/33 - 857*f**2\/11 + 4388*f. Suppose g(d) = 0. Calculate d.\nAnswer: 1\/3, 857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 9581?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30070771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 = -3*x + 3, -3*x + 27 = 5*j. Let o be (2 + -5)*(-8)\/j. Suppose 3*p + o*s = 12, -3*p - 3*s + 12 = -0*s. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*((-3810)\/(-640) + -6). What is the third smallest value in -2\/5, -4\/13, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8003063 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30631576\/335 - 91438. Let r be (-712)\/2948 + 6\/33. Let g = h - r. Which is the closest to -1? (a) 3\/7 (b) g (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + (48 - 5 - 26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 1. Let c(d) = d**2 + 27*d + 24. Let m be c(-26). Let y(p) = 4*p**3 - p**2 + 5. What is m*y(u) - 11*x(u)?\nAnswer: 3*u**3 + 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9630*s - 3700*s - 4698*s - 27674*s.\nAnswer: -45702*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19165 and 5?\nAnswer: 19165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 + 109 + 101 + 2862*u**3.\nAnswer: 2862*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 12904050 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 77 - 77 + 154.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Suppose -6 = 3*k - x*k. Solve -k*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71892 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 7*z + 5. Give x(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3343 - 1525422?\nAnswer: -1533205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655*g + 4384 = -639*g. What are the prime factors of g?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 - -123) + -55 + (-12 - 12) + -1 + -66.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + m = -5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3043? (a) -1 (b) -2 (c) -0.2 (d) -1\/43 (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2*q + 1\/5*q**2 + 11\/60*q**3 + 0 - 1\/40*q**4. Determine y so that b(y) = 0.\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 147 = 3*a. Let p be (9\/4)\/(9\/a). What is the greatest common divisor of p and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - -3*(sqrt(11)*-3 - sqrt(11))).\nAnswer: -11*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-392)*(-210)\/90.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163127*q**5 + 41170*q**2?\nAnswer: 9787620*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*h + 3863 = 12416 + 5279 for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 1. Suppose 2*k + 10 = 4*q, 3*k - 4 = 2*q - 7. What is the remainder when t(4) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 5*n**9\/3024 + n**8\/140 + 3*n**7\/280 + n**6\/180 - 7*n**3 - 4. Let z(c) be the third derivative of r(c). Factor z(t).\nAnswer: t**2*(t + 1)**2*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Let m = 0 + t. Put 2\/5, m, -3 in decreasing order.\nAnswer: m, 2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w - 101*w - 73*w = -231 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k + 2*k - 6*k - 10. Suppose 5*u + 6*u = -99. Calculate the least common multiple of 10 and h(u).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 22656?\nAnswer: 339840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -25*h**4\/12 + 4*h**3\/3 + h**2 + 3. Differentiate w(m) with respect to m.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 4, u: 1, n: 2, y: 1, q: 1}. Give prob of sequence ooy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 339181 + -246245339\/726. Calculate the common denominator of -5\/54 and c.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 86*q**3 + 7*q**2 - 4*q + 7. Let y(u) = 29*u**3 + 2*u**2 - u + 2. Let f = 27092 - 27099. Determine f*y(g) + 2*h(g).\nAnswer: -31*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**2 + 0*c**2 - c**2 + (-3 + c**2 + 3)*(2 - 4 + 3) - 1949 + 973 + 976 - 1718*c**2.\nAnswer: -1715*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) - (-3*sqrt(475)*2)**2 - (sqrt(19)*2*6 + 5)**2.\nAnswer: -19861 - 115*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7739 = -2*h + 4685. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - 3)*5*-1. Let l(s) = s**2 + 4*s - 3. Let w be l(-5). Suppose -w*b = -b + c. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.12 + 0.2. Let f = z - -0.12. What is the second biggest value in f, 3\/7, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 0. Suppose -129 = -2*u + 5*a - 2*a, 4*a + 20 = 0. Calculate the remainder when u is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 331*x + 788. What are the prime factors of k(0)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v + 9 = 0. Let l(u) be the first derivative of -v*u - u**4 - 3*u**4 + 3*u**4 + 2. Find the first derivative of l(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1428\/(-306))\/(16\/30 - (-34)\/(-170))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21 + 3\/(21\/98). Calculate the greatest common factor of 65 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10343917 is divided by 3261?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 103, 213, 381, 625?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1812366945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(3575\/30))\/1\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/8 - 3259*u\/2 - 20871123\/8 = 0. Calculate u.\nAnswer: -11167, -1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o + 9 = 86*o - 121 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 38 = 5*g, w + 58 = -3*w - 5*g. Let o be 1264\/30 + w\/90. Let h(n) = -3*n - 4. Let z be h(-6). What is the highest common factor of o and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1414.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2)*(-9*l - 3*l + 5*l)*((-4 + 5 + 1)*(1 - 1 + 1) + 1 + 2 + 2 + 1 + 2 - 5) to k + t*l and give t.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, q: 5}. Give prob of picking 2 c.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1949.3 minus -4?\nAnswer: -1945.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/47 - 156\/235. Let n = 3871.938 - 3876. Let l = -0.062 - n. Which is the biggest value? (a) 0.3 (b) l (c) z (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696867, -1393738, -2090609, -2787480?\nAnswer: -3484351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103594507?\nAnswer: 23, 4504109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:06 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18302 is divided by 120?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27404 - -27471. Calculate the remainder when 113 is divided by v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*c)*(-5 - 3 + 7).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/9, 5, -4, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 393.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10003 + -2330211113?\nAnswer: -2330221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25355 and 495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/36)\/(203\/24 + 103 + -110).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31449*c**2 + 4833*c - 2 - 9578*c + 4745*c + 2 + (5 - 5 + 2*c)*(-c - 2*c + c).\nAnswer: 31445*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, u: 7}. What is prob of picking 2 y and 2 u?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141413, 141514, 141615?\nAnswer: 141716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200*x**5 - 91*x**4 + x**3 - 2*x - 9517 wrt x.\nAnswer: 4000*x**3 - 1092*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 174.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1794 and 77766.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*g - 554, -35 = 2*v - 5*g + 523. Let t = 26 - v. Suppose t = -4*q - q. Round q to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -20*(-6)\/(48\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 7*b - 6. Let a be x(2). Suppose -a*w + 5*s = -w + 3, 0 = 4*w - 2*s - 10. What is the tens digit of w\/(8\/6) + 76?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 9*p**3 + 7*p**2 - 6*p. Let o(g) = -g**3 - g**2 + g. Give 21*o(k) + 3*z(k).\nAnswer: 6*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 2:59 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6868329 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 1 d when three letters picked without replacement from {p: 1, d: 1, z: 1, x: 1, v: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 56 - 29*u**2 + 10 + 40*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -21. Suppose -n*j + 3*i + 5 + 6 = 0, 3*j = 2*i + 8. Suppose m = -j*m + 4*g + 91, m - 52 = -3*g. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17\/8 (b) -181 (c) -1 (d) -4 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k + 3. Let v be q(0). Let d be ((-5)\/v - 1) + 2. Which is smaller: 2\/5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 617567 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(2057) + (2*sqrt(2057)*5)**2 - sqrt(2057)*-1*4).\nAnswer: 55*sqrt(17) + 205696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 210477?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 2 - ((5 - 6) + 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103 minus 0.1?\nAnswer: 2102.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -210924*a + 210927*a + 15, 6*r + a + 29 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55, 88, 149, 244, 379, 560, 793?\n\"Answer: d**3 + 8*d**2 + 2*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o**3 - 16*o**2 + 16*o + 16. Let r(h) = 4*h**3 - 3*h**2 + 3*h + 3. Determine -3*m(s) + 16*r(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52917 is divided by 155?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198 + -584\/3. Let k(m) be the first derivative of 5\/2*m**4 + 0*m + 0*m**2 + a*m**6 - 1\/3*m**3 - 3 - 29\/5*m**5. Solve k(f) = 0.\nAnswer: 0, 1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4018915 divided by -2.\nAnswer: 4018915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/2)\/(187\/22 - 8). What is the hundreds digit of (-2280)\/(-48)*(-1)\/(d\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5103 - 2714. List the prime factors of r.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2))**(-30\/13)*l*l**(1\/6)*l**(-2\/9))**(3\/2) assuming l is positive.\nAnswer: l**(-49\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 + 1.82. Let c = b + 0.38. Let g = -6 - -9. What is the closest to c in -3\/5, g, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -253*g**2 - 2530*g - 4. Determine d(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95959\/6426 - -507\/34. Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 + -126. Suppose a = z*v - 1821, 5*a + 10 = 5. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 3. Let z(n) = -n - 1. Suppose x = 5*x - 12. Calculate x*z(j) - h(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 10 = -0. Let q(r) be the second derivative of r**5\/20 + r**4\/3 - 5*r**3\/6 + 2*r**2 - 259*r. Let m be q(g). Sort -5, m, -2 in ascending order.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/392 and 29\/13887972?\nAnswer: 27775944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/19)\/((-75)\/(-45)*(-126)\/120)?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -229, -448, -655, -844, -1009, -1144, -1243?\n\"Answer: u**3 - 226*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*a + 136*a + 91*a - 272 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 735240044 divided by 498806\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p + 3*p**3 + 18*p + 8*p**3 - 9*p**3 + 10*p**2.\nAnswer: 2*p*(p + 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 20 + (-19 - (-7 + -21)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 21745 = -5*r, 0 = -r - 7*x + 2*x + 4373. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-32)*t**(-5\/7) assuming t is positive.\nAnswer: t**(-222\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 8*c**2 + 5*c + 26. Suppose -31*k = -417 + 665. Give z(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-15))\/(2*2\/36). Let i(t) = -4*t + 5. Let j(a) = -5*a + 6. Let b(u) = m*i(u) - 5*j(u). Let r(k) = 12*k. Give -32*b(y) + 3*r(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -8. Let q(j) = j**4 - j**3 + j - 1. Let v(l) = 4*l**5 - 4*l**3 + 4*l - 4. Let y(g) = c*q(g) + v(g). Solve y(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(1 + 2 + 7*g - 1)*(0 - 1 - 1).\nAnswer: 28*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238938 divided by -39823.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 0)\/(6\/6). Let d(i) = -3*i + 5. Let a be d(l). Let c = a + -29. Calculate the smallest common multiple of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*p**2 - 157*b**3*p - b**2*p**2 + 57*b**2 wrt b.\nAnswer: -12*p**2 - 942*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109.1 + 119.404. Round u to one dp.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.62 - 0.83. Let y = 0.01 + w. Let u = y + 2.2. Which is bigger: 7\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24846, -24830, -24814, -24798, -24782, -24766?\n\"Answer: 16*g - 24862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 6936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 382 + -390. What is the closest to x in 0.3, 1\/12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3925032 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 5}. Give prob of sequence qq.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 29. Let y be v(13). Let j = y + -16. Put j, -1\/4, -2\/5 in increasing order.\nAnswer: -2\/5, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17389111.07090323 + -17389111. Let v = 15.5891 - 15.66. Let d = c + v. Round d to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x - 517 - 1098 = 133 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j**3\/5 - 369943*j**2 + 106922370916*j\/5 - 253930197484\/5 = 0 for j.\nAnswer: 19\/8, 115606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -2*g. Let j = 7 + g. Let v(y) = -25*y - 3. Is v(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 4. Let j(y) = 55*y + 45. Let x(g) = 4*j(g) + 45*z(g). Let u be x(-3). Suppose -5*f - u = -90. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2360 and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221232 and 352?\nAnswer: 442464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 174?\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 156754409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2916) + (sqrt(2916) - sqrt(2916)*2) + sqrt(2916))*1)\/(-6*sqrt(12)*2 + sqrt(192)*6))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 88. Solve 0*w = w + 5*u + 15, -o = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + x + 0 + 18 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -186, -446, -852, -1428, -2198, -3186, -4416?\nAnswer: -5912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-1 + sqrt(200) + 4 + sqrt(200) + sqrt(200) + sqrt(200) + 4 + sqrt(200)*6 + sqrt(200)) + -1)*-4)**2 + 3.\nAnswer: 408320*sqrt(2) + 6208659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017762 rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 7*l**2 - 6*l + 4. Let j be z(6). Suppose -j + 19 = 5*v. Let x(b) = -2*b + b - 2 + b**2 - 2. Give x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + z - 1. Let t be m(-2). Factor 5*h - 5*h + 3*h**2 - 2*h + t*h.\nAnswer: 3*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-15))\/3)\/(32\/(-176)*(-308)\/8400).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 10*p**2 - 8*p + 11. Suppose 3*j - j + 18 = 0. Let r be y(j). Suppose r*s = -s. Solve 5*d + q + 10 = s, 6*q - 3*q - 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(171)*-2 + (sqrt(38)\/sqrt(2)*3)**2) + ((sqrt(19) - (sqrt(2736) + sqrt(2736) + sqrt(2736)*1)) + -4)**2 + 3*(-1*sqrt(152))\/sqrt(8).\nAnswer: 289*sqrt(19) + 22949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4+305.766\nAnswer: 309.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/2838732 and -27\/144989.\nAnswer: 53935908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -114677 (base 14) to base 4\nAnswer: -2033223101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -694*a - 24492 = -369*a + 303*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4749 + 11917. Let g = x + -4995. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxxtttjxeteet. Give prob of sequence ext.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 - 0\/(5 - (-1 + 5)) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/12 - (-2)\/8. Let y be x - -6 - (-12)\/(-6). Suppose 2*h - 7500008 = -3*m, -y*m + 2*h + 12499996 = h. Round m to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 + -2 + (6 - -2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 4. Let i(m) = -4*m - 13. Let j be ((-1)\/3*0)\/2. Suppose j = o + a + 3 - 6, 0 = -o + 3*a + 19. Determine o*h(x) - 2*i(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*k - 6, -t = t + 3*k + 9. Suppose 5*a + 3 - 18 = t. Solve -a*b + 2 = -x - 8, 3*x = 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 49 = 7*u, -156 = h - 5*u - 121 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 1. Let m be u(-3). Let x(z) be the first derivative of z**4\/4 + 3*z**3 - 11*z**2\/2 - 2. What is the units digit of x(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2358 - 2349. Suppose -n = -0*n + 3*h - 3, -n = 2*h - 2. Let j(m) = -m**3 + m + 35. What is the remainder when j(n) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxrk when four letters picked without replacement from xkkkkrrkkkkkkkrkk?\nAnswer: 39\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33326420 to the nearest integer?\nAnswer: 5773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - -2.3. Let t be (6 - (-2 - -3))\/1. Suppose 4*m = 5*m + q - 3, 33 = t*m - 4*q. What is the biggest value in m, -3\/4, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + 37 + -40 + -40.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/8 - 343\/264. Is q >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/1124531 (b) -0.3 (c) 3 (d) -0.29 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 989408, 1978819, 2968230, 3957641, 4947052, 5936463?\nAnswer: 6925874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -35.47. Let s = -3.42 + d. Let j = s - -1.9834. What is j rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -226435 times 5.88?\nAnswer: -1331437.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.7 + 0.019.\nAnswer: -6.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 33. Let l = 81 - p. Suppose 8 = -6*v + l. What is the greatest common divisor of 20 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + 5*d**5 - 3*d**5 + (-d**2 - 2*d**3 + d**2)*(-3*d**2 + 5*d**2 + 0*d**2) - 14*d**5 + 9*d**5 - 12*d**5.\nAnswer: -23*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 2.6, 2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2316 and -42\/11.\nAnswer: 25476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/7513026 and 5\/103.\nAnswer: 7513026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + ((sqrt(77) + 4*sqrt(77))*-6 + sqrt(77))\/sqrt(11))*-6.\nAnswer: 522*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, -5, -0.3, 0.0465, -4, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/((sqrt(16) + (sqrt(256) - sqrt(16)))\/sqrt(8)))\/(sqrt(64)\/(-5*sqrt(128))) + -3.\nAnswer: -5*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11807, 17881, 23957, 30035, 36115, 42197, 48281?\nAnswer: 54367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 7. Suppose 7*a = 8*a + 7. Let l be y(a). Find z such that -2\/5*z**2 + l*z + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.68 from -1.4.\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -15, 2\/11, 1\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 734149\/872556 - 14\/3827. Let j = w + -5\/57. Factor 5\/4*h**2 + 1\/4*h + j*h**3 - 1\/4.\nAnswer: (h + 1)**2*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 + 6*b**2 + 6*b. Let n(o) be the second derivative of -o**4\/12 - o**3\/6 + 8*o. Determine d(f) + 6*n(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -53, -116, -213, -350, -533?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206 + 38*h**3 + 206 + (1 + 2*h - 1)*(-2*h**2 + 2*h**2 + h**2) + (h**3 + 1 - 1)*(2 - 1 + 0).\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.186 - 19.8. Let s = h - 0.286. What is the biggest value in -3, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bovwddboffvvoob. What is prob of sequence vwd?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121101123 (base 4) in base 9?\nAnswer: -616527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 9*v**2 - 9*v - 14. Let b be n(10). Let m be -2*(b + 3) + -167. Does 11 divide m\/10*4*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 12 = 0, -7*q + 6*q = -5*b - 23 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-12)*(-34)\/(6664\/(-42))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 2*q + 2. Let t = 1 + 9. Suppose 2 + t = 3*u. Determine r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(25\/3)*f**(-21)*f**20\/f**(-10) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 0*z**3 + 2*z**2 + 0*z + 0 - 1\/24*z**4. Let c(d) be the second derivative of 10*d**4\/3 - d + 32552. Give n(c(x)).\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -81001*w**2 + 1. Let p(r) = 16 - 16 + 3*r**3 - 4*r**3. Let c be p(-1). Let k be b(c). What is k rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -55. What is the units digit of 90 + l + (0\/(-2) - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulluuuuuuuluu. What is prob of picking 2 u and 2 l?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Suppose 89 = -v*d + m, -5*m + 2 - 25 = d. What are the prime factors of 2*(-39)\/d*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 7*f**2 + 11*f + 1. Let l(u) = u**3 - 2*u**2 - 4*u. Calculate 7*l(z) + 2*w(z).\nAnswer: z**3 - 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) -67 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 104*m**3 - 5*m**2 - 2*m + 49. Let o(t) = -104*t**3 + 6*t**2 + 2*t - 51. Let q(n) = 5*o(n) + 6*v(n). Find the second derivative of q(c) wrt c.\nAnswer: 624*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -k - 14, -4 = -2*k + 3*k. Solve -2*v - 16 = 5*q, -n*q - 5*v - 24 = -7*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2223753*u - 2223733*u + 1340 = 0 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/1*(-328)\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2363040?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, 3322, -1, 0.1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141687264937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000023910613 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scxeeecewecesecx. Give prob of sequence wxcc.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 3 + 4 + -2 - -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 7:52 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 9*h - 21*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oatoollotoaoolt. Give prob of picking 2 l and 1 a.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*f - 12, 2*f - 6*f + 2*y - 24 = 0. Suppose 2*l - 4 = -2. Let m(r) = 0 + 0 - 3 - l - r. Give m(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 2*o**2 + o. Let v = -3 - -2. Let s be r(v). Suppose -k - 2*k + 57 = s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let n(o) = o**2 + 4447*o + 1. Let s be n(0). What is the closest to -0.03 in v, -5\/2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, t: 3, q: 3, j: 5, k: 2}. Give prob of picking 3 y and 1 k.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**(-1\/9)\/(y*y\/(y*y**(-25))*((y\/(y\/y**(-1\/49)))\/y)\/y))**(2\/17) assuming y is positive.\nAnswer: y**(-21346\/7497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 4\/383 (c) 1\/4 (d) 23 (e) -0.1 (f) 27.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -dda (base 16) to base 9\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1713237 by -3.\nAnswer: -571079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -367, 1.84, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {f: 1, p: 1, w: 4, z: 1, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-4)*648\/(-486)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 427*w + 105*w = -753*w - 93632 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68708037?\nAnswer: 3, 59, 388181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -19 + 26 + 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 4102352*o - 2103661491488.\nAnswer: -2*(o - 1025588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 796733769 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -188315 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/8)\/(3\/(-12)). Let q = 5 + l. What is the units digit of (-3)\/q*32\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*t = 2, 12 = 5*o + t - 1. Let y be 0 + o + (-4)\/3. Let w = -7 - -11. Which is the biggest value? (a) w (b) 1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 41. Is 1*(1\/6 + (-454)\/h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o + 36. Let t(a) = -4*a - 36. What is -5*i(b) - 4*t(b)?\nAnswer: b - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -138, 93, 0?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -54, -209, -464, -819?\n\"Answer: -50*c**2 - 5*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 9*r - 5. Let j be d(-6). What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 11*q**2 - 11*q - 12. Let t be b(-10). Find the common denominator of (t - -3) + (-244)\/16 and (41\/21)\/((-2)\/(-6)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283689504 and 70632?\nAnswer: 7848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Let c(d) = 2*d**2 + 7*d + 7. Let q(p) = p**2 + 4*p + 4. Let a(z) = g*c(z) - 7*q(z). Let b = -1 - 0. Calculate a(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -41*w + 43*w. Let h be 60\/w - (-14)\/4. Determine u so that -4*u - 39*u**h + 5*u + 37*u**2 + 2 - 2*u**3 + u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 912 and 9751408?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhhhhhnnnnnhhhnhhnnn. Give prob of sequence hhh.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 11) to base 6\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**3 + 477681*s**2 + 1910763*s + 1433079 = 0.\nAnswer: -3, -1, 159231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - 6*(sqrt(95)*1 - sqrt(95))))\/((-2*sqrt(25))\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22966358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, a: 3, u: 3}. What is prob of sequence eaa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32104.\nAnswer: 2, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*h = -393, 29 = z + 2*h + 228. Let o = 213 + z. Suppose 0 - 123\/2*b**o + 75\/4*b**3 - 3*b + 135\/4*b**5 + 12*b**2 = 0. What is b?\nAnswer: -2\/5, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 109.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 158401 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ab (base 13) in base 7?\nAnswer: -6550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4099 = 5*i - 1614. Let k = i + 87. Round k to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(8\/(-12)*(0 + -33 - -36))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 348361761 divided by 116120587\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.109 - 0.108875. Round q to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (860\/(-90) - -12) + -3?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -5. Let x(m) = -9*m**3 + 13*m - 11. Let o(h) = 5*h**3 - 7*h + 6. Let k = 44 - 33. Give k*o(f) + w*x(f).\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzazzzzzzzzazzzz. Give prob of sequence aaaz.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -17 - 1\/2*f**2 - 3*f. Let r be 6\/2 - (11 + -3). Give n(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21003297 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 12. Does 3 divide -4*12\/(-16)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 h when four letters picked without replacement from hhdhhhdhhdddddhh.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**2 + 9 + 25*s - 15*s - 8*s + 7*s**2 + 86 as v*s**2 + h + r*s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k**2 + 0*k**2 + 5*k**2)*(-3 - 1 - 7) in the form s*k + h*k**2 + m and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/48801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51144961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214030.\nAnswer: 2, 5, 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 26 = -g, -t = 3*g + 20. Sort 1, 2\/3, -0.5, t in increasing order.\nAnswer: t, -0.5, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*h + 6*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 6*z - 2*z)*(-6 + 17 - 40).\nAnswer: 174*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/30562*(-16946)\/(-458).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from jjejdjedjjjjjpdjd.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14766 and 1498?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10.3+-30831760\nAnswer: -30831770.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -426.233 + 427. Let h = -205 + 204.967. Let z = h - k. What is z rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-154))\/((-112)\/(-588)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29403 and 320892?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4429 + 4002 = 379*v - 1044 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 700 = 59*m. Solve 0 = -177*i + m*i - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31661161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101 (base 2) to base 4.\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 8601a5?\nAnswer: -860203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/342 and -79\/22230.\nAnswer: 22230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**2 + 6*r**2 + 3*r**3 + 6*r**4 - 7*r**4 to y + b*r + p*r**3 + h*r**2 + t*r**4 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*s - 35, u + 0*s - 7 = s. Solve 4*z + 3 + 1 = -4*l, l = -5*z - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1 (c) 1\/4 (d) -14 (e) -3\/14 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**2 + 2*t - 5. Let k be a(-4). Let y(j) = j + 8. Let q be y(-3). Let o be q*(2\/(6\/99) - -2). What is the highest common factor of o and k?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-1608))\/(861\/(-738))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -46. Let d = a + 88. Let v = -22 + 36. What is the greatest common divisor of d and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77.8 less than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 + 1. Let r be n(-1). Find h, given that r*h**2 + 1829*h - 1844*h + 2*h**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3618.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 97*k**5\/90 - 11*k**4\/4 + 2*k**3\/9 + 1065*k**2. Factor b(n).\nAnswer: 2*(n - 1)*(97*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 15 + -21 - (-1 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1674616349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 4, g: 1, e: 7}. Give prob of sequence en.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34.37 or -2?\nAnswer: -34.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + k + 5777, k + 20595 = 4*w - 2522. Let p = -3180 + w. Round p to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05108 * 0.5.\nAnswer: -0.02554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7484*c*j**3 - 8969*c*j**2 - 2*c - 4*j**3 wrt j?\nAnswer: 44904*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4245 - -4819. What is the least common multiple of w and 28?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 11*x**2 - 8*x + 5. What are the prime factors of q(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0921186 - 0.06?\nAnswer: 0.0321186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 115\/20 + (-3)\/(-12) - -1. Is 4\/(-14) - (-1 + (-23)\/c) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 6314546355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 18) + 3 + 1. Let w = 48 + p. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489592 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3543557.\nAnswer: 19, 421, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14.7 from -6.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**3\/7 - 9*r**2\/14 - 10. Let l(g) = 0. Calculate g.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8603 in -0.3, 1, -4\/7, 0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 8*r**3\/3 + 10. Let g be u(5). Let i = g - 115. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -770*x**2 - 518*x**2 - 1527*x**2 - 577*x**2 + 462*x**2 - 2589*x**2 + (x - 3*x + x)*(-2*x - x + 2*x).\nAnswer: -5518*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -774\/19?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 3*p**3 + 112 + 2*p**3 - 30 - 38*p**3.\nAnswer: -33*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.765444 grams in nanograms?\nAnswer: 8765444000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329 - -323. What is the closest to -0.1 in v, 0.2, -0.04, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7259 - 467 = 130*u + 2291 + 2291 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -6. Let w = -109 - -108.9. What is the nearest to w in 5, n, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-10 - -16) + -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 340513 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1455721*r**2 + 1455713*r**2 - 5822835*r**2 - 2 + 1455716*r**2 + 1455691*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t + 36. Let c(r) = -2*r + 21. Let o be c(8). Let i be y(o). Sort 1, -2, i.\nAnswer: -2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90506 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2154, 4153, 9516, 19905, 36982, 62409, 97848?\nAnswer: 144961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 444089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**3 + 39*i**2 + 25*i - 21. Let z(o) = -5*o**3 - 13*o**2 - 8*o + 7. Let w(u) = 6*v(u) + 17*z(u). Let b be (-115)\/((-90)\/18) + 3*-3. What is w(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 + 11121?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (28\/(-5))\/(-1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39407520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1689.8453.\nAnswer: 8449.2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 17 = 2*n - n, 4 = -n - o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + z**2 + 4*z - 15. Let j be r(-5). Suppose 239*i - j*i + 16 = 0. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -9*o**4 + 4*o**3\/3 - 1. Find the third derivative of n(c) wrt c.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186769956.\nAnswer: 2, 3, 17, 915539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690651636.\nAnswer: 2, 3, 23, 2502361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 15. Determine w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, u: 2, g: 1, p: 1, r: 1}. What is prob of picking 2 u and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*h**3 + 32*h**2 - 5*h**5 + 4 + 5*h**4 + 3*h**5 + 7*h**4 - 18*h + 0*h**4 = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 11, 46, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 4) to base 6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/11 (b) 183 (c) 136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 0 + 2\/7*p**2 + 0*p + 2\/21*p**4 + 8\/21*p**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 84 (b) -2\/5 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -3)*1)**2 + (sqrt(475) + (-5*sqrt(475))**2 - sqrt(475))*4.\nAnswer: -18*sqrt(19) + 47680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 494345*k + 988710.\nAnswer: -5*(k - 98871)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -59 - (-2034 - -2051)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 206514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2. Let q(d) = d - 3061. What is q(m(c))?\nAnswer: -2*c**2 - 3061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.648 - -1.648029006. What is v rounded to 7 dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9230336958?\nAnswer: 2, 3, 19417, 79229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-6)*(6 - 0)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0. Let z = 0 + x. What is the third biggest value in 0.1, 6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1536)\/256)\/(1*(-369)\/(-3))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-79)\/(-395))\/(1\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 404941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpzvzavaaabl. What is prob of sequence zbpa?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v - v + 79*v**4 - 2*v - 73*v**4 wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -504.0392583264 + 17.0392590274. Let u = 487 + c. What is u rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 4:32 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + sqrt(7) + 2 + 6*(0 + sqrt(7)))*4.\nAnswer: 12 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-8 - -16) + 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(91)*-3 + sqrt(91))\/((sqrt(7) - sqrt(112))*6) - (4 + sqrt(52)\/sqrt(4)*1 - (sqrt(1573)*-2 + 1)).\nAnswer: -203*sqrt(13)\/9 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 628996751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 9:57 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-8))\/((-9)\/(-54)*-6).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 112.7 and -3?\nAnswer: 115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*w - 7226*w - 202201 - 388379 = -750*w for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 29*q - 17*q + 11724*q**3.\nAnswer: 11724*q**3 - 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0.03, -5 in decreasing order.\nAnswer: 0.03, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 25 = -5*w, y + 5*w + 23 = 23 + 7 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 463935 a multiple of 785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 648273 or 5186185\/8?\nAnswer: 648273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/12275 greater than -8.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/165 and 149\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 67760*m**2 - 230112000*m - 3664465920.\nAnswer: -5*(m + 16)*(m + 6768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 14 = 2*p, -19 - 3 = -2*p + 5*x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/504 - 4\/(-32)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34340096 + 47.\nAnswer: 34340143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 3, -3\/8, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94890171?\nAnswer: 3, 31630057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = d - 19, -62*d + 4*b = -66*d + 64. What is the remainder when 4893 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248105 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*q - 13 + 19 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 18*r + 49. Suppose 3*z - 20 = -35. Let l(g) = 4*g + 5. Let c be l(z). Let b be q(c). Put b, -11, -4 in ascending order.\nAnswer: -11, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*q. Solve -1\/4*b + 1\/4*b**3 + q*b**2 + 0 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, l: 3, c: 1, u: 1, e: 2, v: 3}. What is prob of picking 1 o and 3 l?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -244\/4887 or 0?\nAnswer: -244\/4887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + p = 33, 2*z + 0*p + 3*p = 31. Suppose 4*i = -0*i + 3*x + z, -3*i = -x - 9. Let -2*s**2 + 2*s**4 - 48*s - 6*s**i - 2*s**3 + 56*s = 0. What is s?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 9*r**2 - 2*r + 21. Let c = 84 + -79. Suppose u - y + 0*y = 10, -c*u - y = -44. Is 2 a factor of n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89770)\/(-6685) + (-3)\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15560, 62026, 139470, 247892, 387292, 557670, 759026?\n\"Answer: 15489*c**2 - c + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451138 is divided by 382.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -4\/7 (b) -2\/7 (c) -53\/11 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -7 (c) -132 (d) -2 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1241 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 107 = -4*c, -2*h + 3*c - 250 = -c. Let n = h - -13. Is 1\/(2 + 210\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 18*d**2 + 17*d + 1. Let c be j(-17). Suppose 2*o = 3*k + 8, -5*k + o - 16 = -3*o. Suppose 18 = -m - 0*m + 2*p, -3*m - 34 = -2*p. Sort m, k, c.\nAnswer: m, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*i - 10 - 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/5, 108\/5, -0.2?\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 680*y. Let b(n) = 2*n - 173 + 46 + 63 + 64. Calculate b(f(h)).\nAnswer: 1360*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzmzyzzhyyzs. Give prob of picking 2 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48637 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - sqrt(153)) + -3)**2 - sqrt(17)) + 3 + (-1*sqrt(425) - (sqrt(612) + 1))**2.\nAnswer: 33*sqrt(17) + 2138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42212420 (base 6) to base 13.\nAnswer: 341103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 2, r: 3, n: 7}. Give prob of picking 1 r and 3 c.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**8\/13440 - n**7\/2240 + n**6\/960 - n**5\/960 - 23*n**3\/6 + 22*n**2. Let c(a) be the first derivative of x(a). Factor c(j).\nAnswer: j*(j - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 51. Let a = o - 4.065. Let h = 0.064923 + a. What is h rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let b = 4432\/6639 + -2\/2213. What is the nearest to w in -0.7, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u - 2*j - 24643 = 0, u + 8226 = -3*j. Let m be ((-102)\/u)\/((-1)\/(-7)). Factor -4\/23*p**2 + 0*p**3 + m + 2\/23*p**4 + 0*p.\nAnswer: 2*(p - 1)**2*(p + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69 and 26.\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -127 + 86 + 89 - 4*k**3 + 40*k**2 + 92*k.\nAnswer: -4*(k - 12)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-38)\/4)\/(22\/(-584)). Let p = -252 + y. Let n be (-2 - (-24)\/15) + (-27)\/(-5). What is the second smallest value in n, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + 2*l**3 + 4*l**3)*(-1 + 1 + 2*l)*(-9 + 15 + 10).\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 189570*z**2 + 1788469125*z - 158856720440.\nAnswer: 5*(z - 88)*(z + 19001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4437460854?\nAnswer: 2, 3, 197, 417133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 - 3*d + 4. Suppose 0*y = 4*y + 12. Let u(f) = 3*f**3 + 2*f - 3. What is y*u(a) - 2*p(a)?\nAnswer: -a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 6*n**2 + 2*n. Let s(u) = u**2 - 6*u + 5. Let t be s(6). Suppose -1 = -r - t. List the prime factors of o(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6696.029ug in milligrams?\nAnswer: 6.696029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215556763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.08 (b) -0.4 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -348 - -2110. What is the least common multiple of 22 and y?\nAnswer: 19382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/10)\/(z\/z**22))\/(z**(-4))**(-26) assuming z is positive.\nAnswer: z**(-831\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-4 + 4 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:12 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.674431 centuries?\nAnswer: 6.74431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -166, -300, -432, -562, -690, -816, -940?\n\"Answer: f**2 - 137*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {n: 6, e: 2, i: 5}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**3\/3 + 15*l**2\/2 + 2*l. Let i be x(0). Suppose -5*f - 4*m = 2, i = 3*f - 2*m - m. Solve -2*u - f = -0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -2\/635 (b) -5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2106*h - 13499. What is the thousands digit of r(32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1836 and 1157139?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 + 2*r**3 + r**2 - 3194*r + 149 - r**2.\nAnswer: 2*r**3 - 3194*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 393.4 - 276. Let g = m - 117. Which is the closest to -0.1? (a) -16 (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 3*k**2 + 3*k**2)*(-5479067 + 5479067 + 2620*k**3) - 4*k**3 + 4*k**3 - k**5.\nAnswer: 5239*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:57 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 2*r**2 + 18*r + 17. Let m be i(-5). Suppose 25 = 5*s, 2375 = v - m*s - 2912. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 + 6*y - 5. Let u = -28 + 22. What is d(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/15 - 646*j**2\/3 + 9676*j\/15 - 6448\/15 = 0?\nAnswer: 1, 2, 1612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -3*f**4\/8 + f**3\/6 + f**2. Let c be ((-12)\/(-36))\/((-12)\/(-18) + (-1)\/1). Determine u(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + -0.11. What is the closest to -1 in o, 1\/4, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1077 - -1265. List the prime factors of p.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/213 and -38\/63?\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-28)*(-14)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x. Suppose x = 4*s - s - 12. Let k = -36 - -36. Solve k*w + s = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(76)*-2 + sqrt(76) - sqrt(76))**2 - sqrt(76)) + (sqrt(19) - (sqrt(19)*1*-1)**2)*3.\nAnswer: -39*sqrt(19) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 59 + -107 - -55?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 56854 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-36) - (6\/(-135) - 10\/25).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:06 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59783836963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -8\/3 (c) 0 (d) 0.5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -13939.89637878.\nAnswer: -13934.89637878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 5. Determine j(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 14*l = -o + 11, -4*o = 4*l + 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*-3*(-5)\/(-390)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/165 and -76\/94448739.\nAnswer: 472243695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 6680*n**3 + 3518996*n**2 + 562580368*n + 559068048 = 0 for n.\nAnswer: -686, -297, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4 - 0. Suppose 0*a + l = a. Suppose 0*s + 85 = a*s - 5*i, 4*s + 3*i = 235. Calculate the greatest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:39 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 837810217 to the power of 1\/3, to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83673, 166924, 250175, 333426, 416677?\nAnswer: 499928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-42)*0)\/(-2))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -2\/153?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16989 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, 1 e, and 1 b when four letters picked without replacement from ukteuedb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.8, -3\/70, 34, -2 in increasing order.\nAnswer: -2, -3\/70, 3.8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -415.4 - -411.402. Let p = t + -0.002. Which is the fourth smallest value? (a) p (b) -0.06 (c) 0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16 + -0.06. Which is smaller: y or 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, -1\/6, 0.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 78, 2, 9, 5 in descending order.\nAnswer: 78, 9, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13371 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142378.25 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 290837*w**2*y + 86*w*y + 53*w - 20*y wrt w.\nAnswer: 581674*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72640386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41.9159904 + 41.746. Let n = -12 + 12.17. Let i = b + n. What is i rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**3 - 3*t**3 + 3*t**3 + (48*t - 55*t - 63*t)*(0*t**2 + 2*t**2 + 0*t**2) to the form i*t**3 + x*t**2 + d + p*t and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 + 8*i**3\/3 + 6*i**2 + 6*i - 337. Determine n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 162*n**3 + 752*n**2 - 90*n. Let d(b) = 40*b**3 + 188*b**2 - 20*b. Calculate -9*d(c) + 2*f(c).\nAnswer: -36*c**3 - 188*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 13*l**3 - 3*l**3)*(6*l - 2 + 2*l - 6*l) + (-82 - 11*l**2 + 82)*(5*l**2 + 0*l**2 - 4*l**2).\nAnswer: 3*l**4 - 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 + 24*s**4 - 76*s**3 + 104*s**2 - 66*s + 16.\nAnswer: -2*(s - 8)*(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4881 and 7\/6.\nAnswer: 9762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20815289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*l + 5*w, w + 216 - 181 = 2*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.01 - 5.01. Which is the closest to 12? (a) -7 (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 71*s - 66*s + 2*f, -3*s - 6 = 3*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 9*x + 17. Let k(w) = -w**2 - 3*w - 6. Let z(j) = 4*f(j) + 11*k(j). Let n(c) = c**3 - 2*c**2 + 1. Let s be n(-1). Determine z(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/20 + i**4\/12 - 10*i. Let j(l) = -l**3 + 3*l**2 - l. Give j(m) - 3*q(m).\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22757*p - 22761*p + 67104 = 0. What is p rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = m - 7 + 21, 4*m + 26 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*-1*28. Let c = 21 - w. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-27)*6)\/(2\/(-303)). Let q = -75 - n. Suppose 4*j - 7 - 15 = -2*i, -4*i = -2*j + q. Solve -o + j = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 812 divided by -4672.\nAnswer: -203\/1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/8*-6)\/(8\/1728).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0 + 55. Let k(r) = r**2 - 3*r. List the prime factors of k(v).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 26 + 246. Calculate the greatest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 2*n**3\/3 + 3*n**2\/2 - 3*n. Let w(l) = l + 1. Let d(s) = -6*w(s) + z(s). Differentiate d(m) wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**4\/12 + 4082*p. Suppose -b - 4 = -2*b. Let x(v) = -9*v**2. What is b*u(o) + x(o)?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -809, -1823, -3233, -5033, -7217?\nAnswer: -9779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 + 13*b + 1. What is w(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -9*v - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204) + -2*sqrt(204))*3)\/(-5*sqrt(36)\/sqrt(3)*-4).\nAnswer: 9*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + 158*m**3 - 4011*m + 4046*m - 158*m**3 + 17*m**4 to k*m**2 + y*m**4 + x*m**3 + z*m + o and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-81)\/18)\/(3\/(-14)). What is the highest common divisor of f and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -900410 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -25*m - 38. List the prime factors of n(-19).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 34374?\nAnswer: 3437400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9787*l**3 + 33476*l?\nAnswer: -58722*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51135 = j - 8*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - 21736\/(-264) - (-3)\/((-9)\/(-2)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/240 - g**5 - 81*g**4\/16 - 61*g**3\/6 + 733*g**2. Find k such that z(k) = 0.\nAnswer: -1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 150*t**2 - 169*t - 2266. Give i(-151).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 14) + 13 + 5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14018058 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/4)\/((-60)\/(-32)))\/(-6)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1242\/(-63)*(8 + -1). Let i be g\/(-4)*(-28)\/(-21). Suppose 2*z + 2 - i = 0. What is the lowest common multiple of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -732490058352.2.\nAnswer: 732490058356.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1220 * 47.6\nAnswer: 58072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 579960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 - 2\/4). Let w = -119 + 127. Let r be -9 - 3\/1*w\/(-6). Which is the nearest to 2\/5? (a) n (b) r (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 14*t + 7. Let i be r(5). Let g be 268\/i + -3 + (-37)\/(-13). Let v = -17 + 25. Solve -2 - v = -g*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4423\/4 - 1106. Let n = -1.4 - -2.4. Let y(u) = u - 2. Let q be y(-2). What is the closest to n in j, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10201 minus -2.1?\nAnswer: -10198.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15011350?\nAnswer: 2, 5, 67, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1575)*-2*3*-2)\/(-4*(1*(sqrt(441) + sqrt(441)*-2) - sqrt(441))).\nAnswer: 15*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36022 and 741749586.\nAnswer: 5146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7340 and 180.\nAnswer: 66060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 1. Suppose -3*d - 2*w + 47 = 0, 2*d + 6 = 4*d - 5*w. What is the remainder when d is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (0 + 1 + 1)*(3 - 4 + 2))*(-19*f + 49*f + 45*f).\nAnswer: 225*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14113*q**3 - 29*q**2 + 35*q + 16. Let y be d(16). Round y to the nearest one million.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 - 66. Calculate the highest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -175 (b) -1 (c) 6 (d) 5 (e) 2\/5 (f) 4 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(4 + (sqrt(13) - sqrt(13)*1)) + -2 + 3 + (sqrt(91) + (sqrt(91) - (2*sqrt(91) - sqrt(91))))\/sqrt(7) + (sqrt(1053) + 0 - sqrt(13)))**2.\nAnswer: 378*sqrt(13) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, 5\/3.\nAnswer: 0.3, 0.5, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7033\/20 - 3567\/10. Calculate the common denominator of 71\/38 and y.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/15)\/((104\/(-120))\/13). Is -10 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q**(-1\/2)*q)**(3\/5) assuming q is positive.\nAnswer: q**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 41*y - 1126740 - 34464. Calculate the remainder when y is divided by 259.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 70. Let g = 28 + -28. What is the units digit of i(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y - 108*y + 6406400 = 318*y. Is y a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-1)*(15635\/708 + 4\/(-48)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/9)*k))\/k**2)**(-1\/35)\/((k\/(k*k**5)*k*k*k**(1\/4)*k)\/((k*k**(-1\/8))\/k*k*k**(-1\/4))) assuming k is positive.\nAnswer: k**(1229\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*1 - 1128\/54?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 3*p**2 - 1119*p + 5520 = 0.\nAnswer: 5, 368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, -1\/3, -5, 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32219, -32217, -32215, -32213, -32211?\n\"Answer: 2*c - 32221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**5 + 3240*g**4 + 135600*g**3 + 1376000*g**2.\nAnswer: -5*g**2*(g - 688)*(g + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 10*m**2 + 3*m + 63. Give x(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5)*c*c**(1\/5)*c*c*c**(-3\/4)\/c*c*c\/((c**6*c*c)\/c) assuming c is positive.\nAnswer: c**(-171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94999139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -3 - 5) + 3 - (-5 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*j + 10*j = 29, 3*w + 25 = 4*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = -87*k + 85*k, 3*k = 6. Solve -3*x - 5*w = -12, -o = -x + 2*w - 4*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.7 and 481.435.\nAnswer: 8521.3995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -89*d**3 - 2*d**2 - 2*d - 1. Let t be c(-1). Suppose -w + t = 3*w. Calculate the least common multiple of w and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20172 - 12286. Is 68 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 3, 0.4, -3.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*q**4 + 13411*q**2 - 49700 wrt q?\nAnswer: -12*q**3 + 26822*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 423, -2\/21, 3, -1, 0, 6.8?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328811484 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17374 and 88.\nAnswer: 764456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/96 and (-15)\/80*7\/546.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17860354*h - 10403310?\nAnswer: 17860354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6970 divided by -13?\nAnswer: 6970\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5*(sqrt(612) + sqrt(17)) - (sqrt(17) - (6*sqrt(1088) - sqrt(17) - sqrt(17)))))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 277092 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**11*d**2*d*(((d**14*d)\/d*d)\/d*d*d)\/d**(-2\/11) assuming d is positive.\nAnswer: d**(343\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1134 and 630?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 42180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011134 times -0.083?\nAnswer: -0.000924122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (7 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -34. Suppose 0 = -18*o + 19*o + b. Let p(z) = 286669*z + 21. Let m be p(o). Round m to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3279 and 39285699?\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111110100111000111011001 - 100?\nAnswer: 1010111110100111000111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.409, 0.15, -2.\nAnswer: -2, 0.15, 0.409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - -30. Suppose 4*z + 4 = w, 6*w - 3*z - p = w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 29 + -12 + -74\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-54)*21*42\/(-147)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 70*l - 70*l - 2*l**2 - 13 as n*l**2 + u*l + s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25113\/20 + -6277\/5. What is the closest to -1 in 0, 0.14, 1\/11, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s**2 + 8*s. Let h(i) = -7*i**2 + 5*i. Let k(w) = -w**2 - 11*w + 21. Let t be k(-13). Let u be t\/50 - (-237)\/(-30). Give u*h(o) + 5*y(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 1:26 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 8, 0.2.\nAnswer: -8, 0.2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21304 (base 5) in base 4?\nAnswer: 112232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166664\/9 + 18496. Let s = -22 - j. What is the closest to 0.2 in -0.2, s, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-6)*(-296)\/5180?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 118?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -75, 1\/8, -0.4, 1, -1.76, -3?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q + 17255 = 176*q + 2204. Solve q*n - 162*n = -66 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 119\/35 + 25113\/55. Are 460 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1\/6*t**3 + t**2 + 0 - 12*t - 1\/12*t**4. Factor m(v).\nAnswer: -(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/33402540 and -47\/76?\nAnswer: 634648260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 0*i**2 - 2*i**5 + (0*i + 3*i - 2*i)*(-5*i**4 + 4*i**4 + 0*i**4) + (3 + 2 + 2)*(-4*i**5 + 0*i**5 + 2*i**5).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25500581*r**3*x**3*z - 1944941*r**3*x**3 + 3*x**3 wrt z?\nAnswer: -25500581*r**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 n, and 1 l when four letters picked without replacement from nnzzllnllllnll?\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g*g**2\/g*g*g)\/g)*g)**(-1\/10)*(g*g**(-1\/3))**43*((g**1\/g)**(-26))**13 assuming g is positive.\nAnswer: g**(433\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259.1*0.3.\nAnswer: 77.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 9. Let a = y - -4. Suppose 3*m + 276 = 3*w + 2*m, -367 = -a*w + m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Let f(z) = -931*z. What is f(a) - 14*t(a)?\nAnswer: -973*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1*((-11 - -9) + 1). Let p(g) = 5*g**q - 19*g**2 + 6*g**2 + 6*g**2. Let v(b) = 10*b - 1. Determine v(p(d)).\nAnswer: -20*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*108\/(-12). Suppose -2*c + 33 - u = 0. Suppose 5*z = -3*r + 67, -5*r - 2*z + 108 = -r. Calculate the remainder when r is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*260\/(-15)*68\/544.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 8. Let j be x(-3). Suppose j*o = -2*u + 7, 0*u - u - 1 = o. Solve -2*d + o + 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = -1, -757 = -5*q - 3*i. Let j = -148 - -186. What is the greatest common divisor of j and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148086020?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -27, -2.9, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*p - 76*p + 319*p - 83*p + 253 - 79*p to h*p + k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*s + 2243 + 3458 = 0, -w + 1907 = 3*s. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 3 - (119\/14 - 6). Suppose -x + 20 = 4*q, 5*q = -x - 2*x + 32. Sort -5, q, p.\nAnswer: -5, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u**2 + 2*u + 6. Let f(x) = -17*x**2 + 4*x + 11. Let z(h) = 6*f(h) - 11*s(h). Find the second derivative of z(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-5)\/2*(-8)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3 - 6*g**2 - 310.\nAnswer: -6*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/(5439\/(-6)) + (-2547)\/(-111)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 9\/5, -5\/4, 0.2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnbsbssbnnbn. What is prob of sequence bnns?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088233325 rounded to six decimal places?\nAnswer: -0.008823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2. Let k(n) = 8921470*n**2. Give p(k(g)).\nAnswer: 159185253921800*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 581767847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*y - 835 = -9*y + 4001 + 6986 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15065652 (base 8) to base 6\nAnswer: -201344442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1454*q**2 + 3*q - 15. Let t(l) = -729*l**2 + 2*l - 6. Calculate -5*t(i) + 2*u(i).\nAnswer: 737*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48903258.6 minutes in weeks?\nAnswer: 4851.51375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-34)*(-681666)\/(-53464)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -17. Let m be 0 + w\/2 + 3. Let -10 + 2*g**5 - 5*g**5 - 3*g**5 + 10*g**2 + g**m - 15*g + 20*g**3 = 0. Calculate g.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**2*d**2*f - 2*b**2*d + b**2 - 162*b*d*f + 228*f wrt d?\nAnswer: 6*b**2*d*f - 2*b**2 - 162*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**2*d + 23787*b**2 - 938471*b*d + 1029 with respect to d.\nAnswer: -6*b**2 - 938471*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.339\nAnswer: 1.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -49067 (base 11) to base 16\nAnswer: -113d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15580 = 11139*f - 11144*f. What are the prime factors of f?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3595 - -3652. Let k = 12 + 21. Let f = k - 4. Calculate the remainder when s is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-15*9\/(-90)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.2354942713 + -5.2355. Round u to seven decimal places.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 76?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150 = 2*b - q, 3*b + 37*q = 42*q + 1704. What is the remainder when b is divided by 160?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t + 70922 = -191554. Is t a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238864 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22775106203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 13700 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -11 - -17) + -19 - 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35083397 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24076 and 1885?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42069*y**4 + 21558.\nAnswer: -168276*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 3*t, -4*u + 4*t + 16 = 0. Suppose 0 = 5*w - u*r - 2*r - 136, 12 = -3*r. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 0*j)*((3 - 4 + 3)*(8*j + 19*j + 2*j) + (2 + 2*j - 2)*(1 + 10 - 5) - j + 0*j + 0*j) in the form v*j**2 + i + z*j and give v.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from qmvvvmqmvpqvmmcmqv.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2448) + sqrt(2448)*-3) - (sqrt(2448)*4 + 3))**2.\nAnswer: -576*sqrt(17) + 156681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(25 + 39\/12*-10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 556 = 592 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5138\/(-4404))\/((17\/42)\/(-17))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 2*c**4 + 0*c + (0*c**4 + c**4 + 7*c**4)*(1 - 2 - 1) to the form t + i*c**4 + q*c**3 + b*c**2 + f*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173065 is divided by 506?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3.3\nAnswer: -1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 0, 4 in increasing order.\nAnswer: -24, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 831 + -846.68. What is l rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c = -10. Suppose 4 = -2*i - c*n, -5*i + 4*n = -33 - 2. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.9 - 48.9. Let x = 40.9 + c. Let w = 13 - 8. What is the closest to x in w, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2770, -2767, -2762, -2755, -2746?\nAnswer: -2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 2090*g**4 - 25650*g**3 + 64360*g**2 - 60155*g + 19350.\nAnswer: 5*(g - 9)*(g - 1)**3*(g + 430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -1\/6 (c) -63\/11 (d) -4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 17 - 22 + 368*b - 175*b - 186*b. Let o(t) = t**3 + 4*t**2 + 2*t + 4. Let i be o(-3). Let w(a) = -10*a + 7. Calculate i*h(m) + 5*w(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73448504 to three decimal places.\nAnswer: 0.734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 48 = 1378*b - 1382*b, -2*b = j - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10301 - 2*f + 10272 + 36558.\nAnswer: -2*f + 36529","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/14500)\/(11\/(-44))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4597 - -4597.4. What is the fourth smallest value in 1\/13, -3, -1\/10, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-108)\/6 - -14\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -50\/577329?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q**2 + 4*q + 917. Let f(y) = 39*y**2 + 18*y + 3668. Calculate 9*d(k) - 2*f(k).\nAnswer: 3*k**2 + 917","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017822621 rounded to the nearest 1000000?\nAnswer: -1018000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**3\/2 + 3*d**2 + d. Let x be (0 - (-5 - -12)) + 0 + (3 - 0). Let r(z) = 7*z - 13. Calculate x*r(i) - 9*j(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 11:17 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 12*o - 7. Let b be k(-11). Suppose 0 = -2*w + b*y + 20, w + 5*y = -4*w + 35. What is the remainder when 14 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**8\/168 - 4*k**7\/315 - k**6\/45 - k**2\/2 - 1. Let h(w) be the second derivative of x(w). Find m such that h(m) = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25889 + 105.546591\nAnswer: 105.805481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:28 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -387 at most 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*p + p**2 + 83*p + 68*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16972786883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 3*y + 3. Let u(v) = 6*v**2 - 4*v + 4. Let d(x) = 4*q(x) - 3*u(x). Let p(r) = 143*r**2. What is d(p(f))?\nAnswer: 40898*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*2*4 + 1*(sqrt(170) + sqrt(170)*1))\/(sqrt(640)*-2 + sqrt(640) - sqrt(80)\/sqrt(2)) + 4.\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2728 by -53883.\nAnswer: -2728\/53883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 6*f**2 + 5*f + 5. Let s be b(-5). Suppose s*q - 2 + 4 = -u, 2*q - 13 = -5*u. Suppose 1\/4*a**u + 1\/4*a**2 - 1\/4 - 1\/4*a = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 1\/12, -23?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.361, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 148*j + 1\/2*j**3 + 0 + 5*j**2. Determine a(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*n + 4 + 2, -2*n + 4 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 0.5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 6*z + 5 = 0. Suppose z*w = -2*b - 6 + 2, 0 = -2*w - 4. Solve -8*k + b*k = -15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -956 divided by 315165\nAnswer: -956\/315165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 79 and -53.04966?\nAnswer: 132.04966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 + 134. What is the fourth smallest value in 1\/10, -1, -4, d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kldcskus. What is prob of sequence sskd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (13 - 4)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-14910)\/64610.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2404.5 - -2404.50006062. Round y to seven decimal places.\nAnswer: 0.0000606","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*1*sqrt(143) + sqrt(143))\/sqrt(11).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3914 (base 13) to base 12.\nAnswer: 4855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/2)\/q)\/q*q**(2\/23))**42)**(-1\/41) assuming q is positive.\nAnswer: q**(3297\/943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 77*f - 61. Is m(-28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 27?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 50*o - 108.\nAnswer: 2*(o - 27)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171310*g - 3 - 591651*g + 3.\nAnswer: -420341*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(-48)*p**(4\/9)\/(p**(-1\/2)*p*p*p) assuming p is positive.\nAnswer: p**(827\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 615?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*r = -80*r + 2409596. List the prime factors of r.\nAnswer: 7, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 14*x + 3. Let z be s(11). Find g such that 71*g**5 - z*g**5 - 77*g**4 - 24*g**3 + 9*g**4 = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/165 + 176\/30. Let c be (8\/2)\/(7\/(-70)). List the prime factors of f\/(-15) - 1696\/c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1113, 1133, 1163, 1197, 1229, 1253, 1263, 1253?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3849.\nAnswer: 3, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oosoossooooogs. Give prob of sequence sss.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2568 = 12051. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 800507 or 800435?\nAnswer: 800507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 15*i**2 - 145*i - 17. Determine n(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 119 - 188)*(-36*f**4 + f - f + f**4).\nAnswer: 9485*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*l + 4*l - 4*t + 8, -5*l = -2*t + 30 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 136*y - 40. Let h be q(25). Suppose -p = 5*g + 4*p - h, g = -5*p + 652. Suppose -4*b + g = -279. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dom when three letters picked without replacement from {d: 1, m: 1, r: 2, o: 2, j: 3, k: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 4\/(-12) + (-64408)\/24. Is 9 - o\/12 - 4\/(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7819\/2 - 3908. Find c such that 6*c - t*c**5 - 6*c**4 - 9\/2*c**3 + 0 + 6*c**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 152\/(-6)*3\/2. Let x be r*(0 + (-3)\/2). Let u = -37 + x. What is the lowest common multiple of 18 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47011 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -96141.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -23. Calculate the highest common divisor of d and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + j**2 - 25*j - 1 + 1 to the form t*j**2 + l + m*j and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + 3 - (-790)\/(-216))*(-12 + 15) and (-561)\/180 - (-2)\/10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 29709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 12 + 1 - -4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pooo when four letters picked without replacement from pooooppopo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1.7. Let x = 3.05 + -0.05. Let a = q + x. What is the closest to 1 in -3\/7, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 9. Let f(n) = 6*n**2 - 6*n. Let h(w) = -13*w**2 + 12*w + 1 + 0*w + 0*w. Let i(j) = t*h(j) - 9*f(j). Find s such that i(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 3*m**2 + 2*m. Let x be y(-2). Suppose -5*n + 7 + 13 = x. Is 5 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-221))\/(3969\/34398).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.1, 1\/2, -20 in decreasing order.\nAnswer: 1\/2, 0.1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75549980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 19*j**2 - 34*j + 177. What is s(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 42, 68, 94, 120, 146?\n\"Answer: 26*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 3*k**2 + k - 1. Let x(h) = h**3 - 4*h**2. Let t(m) = -2*p(m) - 3*x(m). What are the prime factors of t(-3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -3. Let f = -280128 + 280118. Is f less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/(-4))\/3)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + (20 - (2 - 1)) - 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 99 = 4*m, -2*d = -m + 5*m - 66. Let t = 50 - d. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b - 4. Let x(g) = -7*g + 5. Let p(l) = 5*x(l) + 6*y(l). Let h(w) = -9 - 14*w - 11 + 8 + 2*w. What is -2*h(s) - 22*p(s)?\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169\/12 + ((56867\/(-228))\/41 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/646, -0.06, 0.01, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 353 + -5. Suppose -w = -k - 36. Suppose 0*m = -3*m + k. Calculate the highest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-1)\/(-8 - 290\/(-35)))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.74 - -0.24. Suppose -t = 5, t - 5 = -5*y + 15. What is the closest to -1\/4 in -1\/4, y, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5530237103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3434416176.\nAnswer: 2, 3, 29, 2467253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Let n be u*(-2)\/(3 - 7). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119) - sqrt(119)*-2) + sqrt(119) - sqrt(119) - sqrt(119) - sqrt(119))*2 + sqrt(119))\/(2*sqrt(700)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405096, -810200, -1215304, -1620408, -2025512?\nAnswer: -2430616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -2. Let q(j) be the second derivative of 0 + 7\/2*j**2 - j + 1\/6*j**v. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n. Suppose 0 = -3*r + 24 + 30. Let m(a) = -r - a - 10 + 28. Calculate g(m(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/43 and (-12)\/20 - (-81)\/(-2580)*-26?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -47*s - 83. Let b be v(-2). Solve 4*j + 45 = -b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26.92 and 0.1.\nAnswer: -26.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (83 - (33 - -106)) + 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102421*t = 102372*t - 245. Let q = -25 - -77\/3. What is the nearest to -0.5 in q, t, 3\/8, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**4\/12 - k**3\/6 - 95*k. Determine l(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1964, 7817, 17566, 31211?\n\"Answer: 1948*m**2 + 9*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-27)*(-54)\/(-396)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -902, -5, 1, -3, 2 in decreasing order.\nAnswer: 2, 1, -1, -3, -5, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 7*v**2 + 14*v + 9. Let x be o(-4). Sort 5, x, 0, -14 in decreasing order.\nAnswer: 5, x, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6734 and 1716.\nAnswer: 444444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -2851454\nAnswer: 370689.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -15. Suppose 2*j = -2*j + 3*p, t*j = -4*p + 25. Suppose -j*h + 14 = -16. What is the highest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 183\/(-3)*(-4 - (-9)\/3). Let q = r - 59. Suppose -d = 3*f - 5, -2*d - 5 = -f + q*f. Calculate the remainder when 21 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2091 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9.59, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415551914?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-13371)\/3)*320\/(-24). What is b rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddj when three letters picked without replacement from jdgjgjgjdv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/313434 and -79\/1782?\nAnswer: 2820906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332 and 5146?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1216033 divided by 1.\nAnswer: 1216033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*d + 15 = 0, u + 2*d + 10 = -3*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**4*t - 21*m**4 + 4*m**3*t + 4*m**3 - 148*m**2*t + 35*m**2 - m*t - t wrt m?\nAnswer: -72*m*t - 504*m + 24*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 315 in -1, -4\/9, -2\/5, -0.3, -14\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38418 is divided by 484.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007652107 to six dps.\nAnswer: -0.007652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 + u + 2. Let s(h) = 9*h**2 - 8*h - 13. What is 5*l(x) + s(x)?\nAnswer: -6*x**2 - 3*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 - -5.8. Which is the closest to v? (a) -3\/5 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/10 - 1\/5. Suppose 21 - 16 = -k. Put -4, k, q in ascending order.\nAnswer: k, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 774.9 and -159.\nAnswer: -123209.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 778*m - 88821.\nAnswer: -(m - 639)*(m - 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3971?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4805*u + 128 - 28 - 100 as w*u + j and give w.\nAnswer: -4805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/52124 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*g**3 - 28*b**2*g + 19*b*g**3 + 873*g**3 wrt b.\nAnswer: 2*b*g**3 - 56*b*g + 19*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181568627297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 2*m + 2*m + (0 - 2 + 3)*(3*m + 0*m - 5*m) + 0*m - 2*m - 2*m + 13*m + 9 - 22*m + 7*m.\nAnswer: -9*m + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 4071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:10 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0 - 1\/2*f**3 + 4*f**2 + 0*f + 1\/60*f**5 + 5\/24*f**4. What is z(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.836593 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*w - 8. Suppose -c = -w*j - 3, 0*j = j - 4. Suppose 4*z + k = 4*k + 180, 0 = -2*z - 3*k + 72. Calculate the remainder when z is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92919*t + 46462*t + t**3 + 46462*t + 3.\nAnswer: t**3 + 5*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*i - 12*i - 133859. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*k**3 + 30*k**3 + 24*k**3 + 29*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80292345*d**4 + 7155618*d + 5.\nAnswer: 963508140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18414, 17838, 17258, 16674, 16086, 15494, 14898?\n\"Answer: -2*b**2 - 570*b + 18986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 16667?\nAnswer: 16665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/3 + 82*q**4\/3 - 78*q**3 - 244*q**2\/3 + 547*q\/3 + 158 = 0.\nAnswer: -1, 2, 3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -1, 4.\nAnswer: -10, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - l**3 - l**3 - l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*s*w + 4*h**2*s - 9*h*s*w - 5*s*w - 31*s wrt h?\nAnswer: 4*h*s*w + 8*h*s - 9*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 15. Let i be f(14). Which is the closest to -0.1? (a) -0.1 (b) i (c) -0.02 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 13*g**2 + 17*g + 9. Suppose 2*z - 40 = 6*z. Let h = z - -14. Let s(m) = -h*m - 3*m**2 + m**2 - 2 - m**2 + 0. What is 2*d(c) + 9*s(c)?\nAnswer: -c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.103483 centuries?\nAnswer: 0.8103483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) - (-498)\/4. Let a = i + -125. Suppose 5*r = -10 - 10. Sort a, r, -3 in ascending order.\nAnswer: r, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b - b + 9*b**2 - 12*b**2. Let h(w) = -151*w**2 + 300*w**2 - 150*w**2. Give h(x(n)).\nAnswer: -9*n**4 - 48*n**3 - 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4849027ml in litres?\nAnswer: 0.0004849027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7843502.\nAnswer: 2, 61, 239, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 972.3585 millilitres?\nAnswer: 0.9723585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*y + 5*o, 2*y - 65 + 71 = -4*o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173496 and 19224?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079855 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 5. Let i = 29 - 25. Let d be w(i). Suppose d*g - 34 = -2*m, -2*g = m + g - 20. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000133479 rounded to 7 decimal places?\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*j - j = -3, 5*j - 21 = -2*x. Let g = x + -4. Suppose -d + 2*q + 3*q - 27 = 0, -d + 4*q = 22. Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -24*(-3 + (-21)\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + sqrt(288)*2)*4 + ((3*(sqrt(288) + (sqrt(288) - (1 + sqrt(288)))))**2 - sqrt(288)) + -4 + sqrt(288) + 0.\nAnswer: -120*sqrt(2) + 2575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -656 - -657.441. What is m rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 8*s - 5. Let w be k(11). Let j = w - 11. Suppose 2*n - 10 = -g, g + j = 5*n - 1. What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44 and -43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44586.24l in millilitres?\nAnswer: 44586240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24174993 and 18279.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7987930 to the nearest one hundred thousand.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -269*b**3 + 265*b**3 - b**2 - b**2 + 0*b - b. Let z(j) = -13*j**3 - 7*j**2 - 2*j. Calculate -7*g(x) + 2*z(x).\nAnswer: 2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0616 - -0.1184. Which is the nearest to m? (a) -0.3 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-803)\/66 - 5) + 16?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2243, 2330, 2417, 2504, 2591, 2678?\nAnswer: 2765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.2, 0.4, 534.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwwwwwwwwoowwwwww?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2574596106.\nAnswer: 2, 3, 143033117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpsesdddddssdesdj. What is prob of sequence pje?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 8*m**4 + 418*m**3 + 1664*m**2 + 1542*m + 288 = 0?\nAnswer: -48, -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -587740.1\nAnswer: 176322.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*k - 6 + 2, 32 = 5*m + 3*k. Let z(g) = 6*g - g**3 - 6*g + 6*g**2 + 2. Let x be z(6). Solve -l - 4*j + 10 = 0, m*l + j = -x*j + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 - 37. Suppose -w + 288 - 52 = 0. Let b = w + x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, a: 1, z: 1, f: 1, s: 1}. Give prob of sequence fz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j**2 + j**2 + 0*j**2)*(3 - 4 + 2)*(-5 + 2 - 14) + 3*j**2 + 0*j**2 - j**2)*(-3 + 5 - 5).\nAnswer: 147*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/3 + 2\/3. Let i(r) = r**3 + 5*r**2 + 3*r - 2. Let p be i(f). Suppose -3*a + 294 = 5*u, p*u - 65 = 5*a + 65. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -8*b**5\/55 + 4*b**4\/11 + 5*b**3\/11 + 2*b**2\/11 - 15*b - 4. Let r(a) be the first derivative of h(a). Factor r(f).\nAnswer: -2*(f - 2)*(4*f + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 122892.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, f: 4}. Give prob of sequence uff.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49364899, 49364915, 49364951, 49365013, 49365107, 49365239, 49365415, 49365641?\n\"Answer: m**3 + 4*m**2 - 3*m + 49364897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2. Suppose -3*f = 2*f. Suppose 3*k - 180 + 39 = f. Let j(x) = 20*x**2 - k*x**2 + 25*x**2. What is j(z(y))?\nAnswer: -98*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6017313?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*c - 12287 - 11610, 5*c - 4*i - 59754 = 0. What are the prime factors of c?\nAnswer: 2, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10649539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 1348 = 1216. Suppose -p = -2*w - 18. Solve 0 = -3*b - 12, -14 = w*l - 3*l + 3*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((440\/250)\/(-11))\/((-2)\/(-5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412954829 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 21 = 4*u, 0 = -33*u + 34*u + 2*r - 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -877639, -1755266, -2632893, -3510520, -4388147?\n\"Answer: -877627*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7406.15 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.3, 1, -12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 2 = u. Suppose u = 4*g - 1. Let s = 1.5 + -2. What is the nearest to 2\/7 in g, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -27*n + 4. Let k(l) = 4 - 11*l**3 + 17 - l + 5*l**2 - 6*l**n. Let p(i) = 5*i**3 - 10. Let z(v) = 4*k(v) + 9*p(v). What is z(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 3*j + 10, 0 = 4*m + 4. Let p be ((-2)\/j)\/(4\/20). Suppose p*b + 30 = 7*b. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 - 84?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 1, 0.34, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9973\/4 + -2493. Sort y, 8, -3, -5.\nAnswer: -5, -3, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 17. Let o be (b\/(-4))\/(4\/16). Suppose 10 = 2*d + 4*m, m = -3*d - m + o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 68 = -59, 3*n + 2*k = 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -4\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1312110?\nAnswer: 1312121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = 25*n - 29. Calculate the remainder when 51 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 4 = b, 5*z - 101 + 96 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**2 - 361*s + 35 + 1437*s - 3019*s**3 - 5263*s**3 - 35 wrt s?\nAnswer: -49692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Let x = 0 + z. Let l = 5843.3 + -5843. Which is the nearest to 2? (a) x (b) l (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, -1114, -1 in increasing order.\nAnswer: -1114, -20, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11997*q - 24. Let r be i(-8). Round r to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/2500275 and 56\/264735?\nAnswer: 22502475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*c*n**3 - 7*b*c + 2*b*n**3 + b*n - 5*c*n**3 - c*n**2 + 4*n wrt n?\nAnswer: 18*b*c + 12*b - 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 6) + 6 + 20 - -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n = 4*b, -5*b = n - 7. Let t = 4 - n. Is t less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*f - 16 = 0, -2*l + 7*l - 14 = 3*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -13, -19, -25, -31?\n\"Answer: -6*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1469766, 72, -1.\nAnswer: -1, 72, 1469766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4518, -4526, -4540, -4560, -4586?\n\"Answer: -3*x**2 + x - 4516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.08 - 0.08. Let l be (-6)\/(-105)*5 - 0. What is the smallest value in d, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**2 - 3*c + 7 - 9 + 9 + 2*c**3. Let r be k(-4). Solve 5*v + 8 = h + v, r*h + 3*v = 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/45504 and 53\/37920.\nAnswer: 227520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -2. Let u(t) = 9*t - 8. Is u(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 - 52. Suppose 0 = -5*m + t + 15. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085 is divided by 120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12669 + 13081. What is the remainder when i is divided by 142?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-y**4 - 3*y**4 + 5*y**4)*(-38 + 5 + 58) - y**4 - 3 - 3 + 5)*(3 - 2 + 1)*(-2 + 3 + 1) in the form p + g*y**3 + i*y + q*y**2 + v*y**4 and give v.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 11:26 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z - z - 4*z**2 - 2*z**2 + 3*z**2 + 0*z**2 + z**2 - 2*z**2 + (1 + 2*z - 1)*(z - 2 + 2) - 5*z**2 - z**2 + 5*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114034805 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l + 2 - 5*l**2 - 3*l + l - 61*l**3 + 60*l**3. Let d be z(-4). What is the lowest common multiple of (-16)\/(-3)*d\/(-4) and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128 + -127. Let p be f\/(-2) - 27867\/(-6). Suppose -4*a - 4*b + p = 0, -11*a = -10*a + 3*b - 1157. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2150 - -10?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/25)\/((-30)\/75)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - 8) + 6 + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4555686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21529256 or 21529255?\nAnswer: 21529255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + y = 182 - 277, 164 = -3*d - 22*y for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40900247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.2894 + -3.78954. Let t = 26 - 26.5. Let v = t + c. What is v rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n**2 - 6*n - 5. Let g = -66 + 62. What is the hundreds digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 544 + -4?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a millennium?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4609, -9339, -14189, -19159?\n\"Answer: -60*f**2 - 4550*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135.01 - 113.0412. Let z = -22 + l. Let s = -0.043 - z. Round s to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 30*a - 56. Let i be 4*(3 - (-6)\/(-3)). Solve a = i*n - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-70))\/(-5)*-1*(-21)\/(-26).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 41*y + 4*a = 13, -2*y + 2*a = 20 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 + -0.48. Let y = 0.1203 + 2.3997. Let s = x - y. Round s to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*2) + 0 - (1 + sqrt(76) + 2)) + 4.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*k - a, -a - 2*a = 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 116 = -81 + 147 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 76452.\nAnswer: 305808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + 35. What is the nearest to c in 2\/9, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fggxduflx. What is prob of picking 2 x and 2 g?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020475 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -0.4\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 30. Let q be ((-18)\/n)\/(3\/2). Which is the third biggest value? (a) -2 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5 + 15 = -2*r + 6, 28*h - 35*h - 3*r + 13 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2*n - 67*i*n**3 - 120*i*n**2 + 5*i + 358012*n**3 wrt i?\nAnswer: 2*i*n - 67*n**3 - 120*n**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.66 - 9.325. Let n = k - -19. Let q = 21.985 + n. Does q = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0.05, 11, -2, 0.5 in decreasing order.\nAnswer: 11, 5, 0.5, 0.05, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2459 = 5*g, 448 = 3*g - 5*b - 1035. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f\/f**5)\/f)\/f))\/(((f*f\/(f*f\/(f**4\/f)*f))\/f)\/f))\/(f**(-1))**10*(f**(-4)*(f*f*f**(-1\/9))\/f*f)**(-11) assuming f is positive.\nAnswer: f**(362\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61802*b*f**2*x - b*f**2 + 11*b*f - 11*b*x - 6*f**2 - 75*f*x - 2*x + 1 wrt f?\nAnswer: 123604*b*x - 2*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose q = 2*b - 8. Is (-2)\/(b\/2) - -54 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23728.644 milliseconds to minutes.\nAnswer: 0.3954774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 950, 1584, 2236, 2912, 3618?\nAnswer: 4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**3 - 2*l**2 - 7*l + 7. Let r be 200\/(-125) + 4\/(-10). Let k(c) = 3*c**3 - c**2 - 2*c + 2. Let o = -86 + 93. Give o*k(m) + r*v(m).\nAnswer: m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*l - 14 = 2*l, 5*l = -2*j - 2. Let n = 3 + -5. Let z = 2 + n. Solve 0 = -z*g + j*g - 4*b, 6 = -3*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from cys?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1255 (base 8) to base 15\nAnswer: 30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -269 - ((-2)\/(-2) - (-6 + 10)). Let h = 511 + q. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + (-2*sqrt(605) + sqrt(605))\/sqrt(11))\/(-2*(sqrt(5) - (-2*sqrt(5) + sqrt(5)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90.47612ml?\nAnswer: 0.09047612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 989161.2kg in milligrams?\nAnswer: 989161200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150.5887048 - 114.94.\nAnswer: 35.6487048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*o = 66*o - 3 - 373 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11836, 11793, 11750, 11707?\nAnswer: 11664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 29 = -3*c - 5*p, -3*c + 7 = -p. Suppose 4*m = 8*m + c. Which is smaller: 4\/105 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -19*u - 15*u + 15575. What is the remainder when u is divided by 163?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.6 + 16.7. What is the smallest value in -3, s, 0.093?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 82.4. Let t = -2\/9 + 0. Which is the closest to 0? (a) -3 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 3. Suppose 14*i - 10*i - 52 = 0. Suppose -i = -5*h - 3. Suppose -h*j + 41 = 35. What is r(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4020 and -7\/852.\nAnswer: 285420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19005*0.02.\nAnswer: -380.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + l + 3. Let m be r(3). What is the common denominator of -1*((-15)\/m)\/(-5) and -29\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2628551 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 5542 - 5542 to the form u*h + k and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484896 and 61872.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {o: 5, f: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**2 - 53*q. Suppose 4*m = -4*y - m - 16, -6*m + 33 = -y. Give a(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 43*t - 169. Calculate a(50).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 84, 106, 108, 84, 28, -66?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 169 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 6)*(4 + -5)*(-210)\/490. Solve 0 = 5*w + 115*u - 116*u + 9, r*w - 2*u = -11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*q)*((-q + q - q)*(0 - 1 - 2) + 501*q - 1071*q + 274*q - 3682*q - 3756*q).\nAnswer: 15462*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 10*s**2 + 4*s - 13. Let w be o(11). Suppose 4*v = k + 119, 0*v - w = -5*v - 2*k. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58431.7699902 + -58428.83. Let z = 2.94 - t. Round z to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.7 + 3.7. Which is the closest to 1? (a) z (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-971181\nAnswer: -971181.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8322 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 21 = -6. Let v be (14 - 4)\/(q\/9). Let h be 16\/v*6\/4. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.97578 millilitres to litres.\nAnswer: 0.07497578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 18 = 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose a = w*a + 192. What are the prime factors of ((-1)\/(-3))\/((-8)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8668694 - 8668694 - 4*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3 + 177*b**2 + 1893*b - 7353 = 0.\nAnswer: -43, -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*9\/(-6)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1962.9 - 1963. Let u be (5\/4)\/(3\/12). What is the fourth biggest value in -3, x, 4, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011011 (base 3) to base 9\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 - 2*k**3 + 2*k**3 + (-k - 3*k + 5*k)*(-4 - 2 + 0)*(5*k - 2*k**4 - 5*k).\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/(13\/26). Let z be 1*(-1 + 5) + 5. Let h be (4 + (-102)\/27)*z. What is the smallest value in -3, o, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 29*x + 8. Let l(y) = y**2 + 19*y + 5. Let d(j) = -5*h(j) + 8*l(j). What is the second derivative of d(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 275 = -649. Suppose 6*m + 8 = 10*m. Suppose v - h = f, -5*v = -0*h + m*h - 399. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/39, 3, -5, -3\/4, 0.069.\nAnswer: -5, -3\/4, 0.069, 4\/39, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 313038 divided by 62\nAnswer: 5049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 15*n**4\/4 - 6*n**3 + 60. Let g = 368 + -369. Let k(c) = -c**3 + c**2. Give g*o(i) - 18*k(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - h - 23956 + 24368 = 0, 0 = -7*q - 3*h - 721 for q.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4 = -4. Let l(u) = u - 9. Let v be l(12). Let w = v - -2. Calculate the remainder when w is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.1 + -20.07. Let g = 0.03 - y. What is the second biggest value in 1\/5, 3, g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1422 - 2789\/2. What is the common denominator of z and 45\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10*s + 40 = 5*s, -28 = -5*c - s. Solve c*z - 25 = z, 0 = -5*i - 4*z + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 11*j + 29. Let r(u) = 3*u - 89. Let h be r(j). Let k(b) = -4*b**2 - b + 4. Let y(v) = -v**2 + 1. Calculate h*k(t) + 7*y(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 11*i**2 + 8*i + 17. Let k(w) = w**2 + w + 1. Let s(v) = -c(v) + 6*k(v). Let l(p) = 2*p**2 + p + 5. Let z(j) = 7*l(j) + 3*s(j). Factor z(f).\nAnswer: -(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 1)*(3*j**3 - j**4 - 3*j**3) to the form y*j**2 + i + t*j**4 + q*j + h*j**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 1364712273.\nAnswer: -1364712273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 1 - 3)*(3*d + 2*d - 4*d) - 2*d - d - d)*(5162*d - 5162*d - 1578*d**2).\nAnswer: 4734*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 145880937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 111139867 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 27*m**2 + 358*m - 287. Calculate v(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003309 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 13*q - 68. Let j be a(-17). Suppose -9*c + 3846 - 228 = j. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 3*i - 4. Let f(l) = -3*l**2 - 10*l - 11. Let p(n) = 4*f(n) - 11*w(n). Suppose 0 = j + 13 - 6. Determine p(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -82*h**2 - 4*h - 5. Determine k(-1).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339 + -338. Are v and -1\/86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*v + 23, 2*p - 3*v = 6*p - 23. Suppose c - 6 = -3. Solve 4 + p = -c*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 42 + 27)*(6*z**4 - z**4 - 2*z**4)*(2*z - z - 3*z + (-z - 3 + 3)*(-1 + 0 - 1) + 3*z + z - 2*z).\nAnswer: 318*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15405? (a) 4 (b) -3 (c) -2090 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2524 is divided by 279?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z**3 + 5*z - 5. Let k(m) = 5*m**3 - 2*m + 2. Suppose 44*q = 45*q + 10. What is q*k(n) - 4*c(n)?\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from 559802.\nAnswer: 559800.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/7 (b) -1\/59 (c) 3\/7 (d) -0.0029 (e) -1\/6 (f) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 749140?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1502*x - 29988 = -1509*x. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 + 9*u**2 - 12*u - 32. Let q be p(-5). Sort 2, q, -47 in increasing order.\nAnswer: -47, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18365685241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -201 - -142. Is (h\/(-1))\/(3 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/2)*j*j)\/j*j*j*j\/(j**(8\/7)\/j*j) assuming j is positive.\nAnswer: j**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 4*r**2 + r. Let d be z(4). Let n = -46 + 45. Let l = 2 + -2. Put n, d, l in ascending order.\nAnswer: n, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11377 = -4*z - 3*l, -2*z - 4*l + 2181 = -3495. Suppose -z = -4*x - s, -4*x + 3*x = -4*s - 729. List the prime factors of x.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.88813 - -0.884. What is l rounded to 4 decimal places?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 109 = 4*a + 48, -4*g - 125 = 3*a. Let n = g + 32. Let l(b) = -5*b + 3. What is l(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 1\/3*b**4 + 46\/3 + 7*b - 7*b**3 - 47\/3*b**2 = 0.\nAnswer: -2, -1, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152 - 147 - 450*f - 5*f**3 + 402*f to the form o*f**3 + k*f**2 + v*f + h and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 385539679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23601 + -222?\nAnswer: 23379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 978.\nAnswer: -977.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 6391867.\nAnswer: 639186.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 4*p**2 - 2*p**2)*((-68*p**2 + 194 - 194)*(-1 + 0 + 2) + p**2 + 4*p**2 - 6*p**2).\nAnswer: 207*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c - 3*c**2 + 17 + 33*c + 225 + 20*c. Let a(i) = 2*i**2 - 40*i - 242. Let g(k) = 5*a(k) + 4*d(k). Factor g(l).\nAnswer: -2*(l + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3550333 + -144?\nAnswer: -3550521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t - 272 = -4*p, -p + 159 = 3*t. Let m(q) = 17*q**3 + q**2 - q - 2. Let x be m(-1). Let y = x + 44. What is the remainder when t is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 579 - 579.000000409. What is f rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1422914\/15 - -94912. Let s = x + -51. Put s, -1\/3, -0.2 in decreasing order.\nAnswer: s, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2841*v**3 + 2*v**2 - 2*v. Let y be m(2). Let i = y - -11523. Let s = 5901 + i. What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30977280*o**2 + 182545266*o wrt o?\nAnswer: 61954560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21115\/1672 - -140\/11. Find the common denominator of 23\/136 and k.\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 564609\/244315 - 903\/373. Let v = g - 58021\/14410. Find the common denominator of -29\/6 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, 5\/24, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - c - 3*c + 2*c - c + (-1 - 1 + 3)*(c + 0*c + 0*c) + c - 2*c - 2*c)*(-10812*c - 5 - 1 + 10808*c).\nAnswer: 20*c**2 + 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11908*j - 10495*j - 8033*j + 5922*j - 5224*j.\nAnswer: -29738*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44\/85 - 2\/17. Let w be 2 + (-6)\/9*-3. What is the nearest to d in -4, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17090 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 814 divide 6366709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12*(3\/4 - 1)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*o - 1650, g = -7*o + 5*o - 1642. Let x = 856 + o. Calculate the greatest common factor of 119 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 16. Calculate the smallest common multiple of 4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*o - 210 = -193, 2*s + 161 = -35*o for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 11*d - 15. Let k(t) = t**3 - 19*t**2 - 21*t + 38. Calculate the lowest common multiple of a(-6) and k(20).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 + 256. Let t = -129.67 + g. What is t rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**2 + 0 - 1\/3*u**3 + 45*u. Let x(v) = -2*v - 8. Let j(h) = -4. Let y(i) = -8*j(i) + 4*x(i). What is q(y(b))?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 125. Let r be d(29). Suppose 4*h - 2 = -2*b, -8 = 4*b - 0*h + 4*h. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 + -122. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6092800 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9075 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 771680 and 2067.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b + 1. Let n be c(-1). Find the common denominator of (-15)\/75*n\/2 and -63\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573 is divided by 286.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -243*c**8\/28 - c**7\/21 - c**6\/15 - 254*c**4 - 1721*c. What is the third derivative of z(y) wrt y?\nAnswer: -58320*y**3 - 120*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -63*i + 157. List the prime factors of n(-11).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.8 - 10.8. Let j = -9 - -18. Let g = j - 6. Which is the biggest value? (a) 5 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2722*y - 2718*y + 4*b + 24 = 0, -5*y + b - 12 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -3\/8 (c) -10 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 - (-80 + 14 + 104)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22\/15 + 212\/165. Sort -7, m, -0.3.\nAnswer: -7, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q = 130 + 52. Let h(w) = 20*w**3 + 7*w**2 + 3*w + 2. Let u(v) = -10*v**3 - 3*v**2 - v - 1. Calculate q*u(s) - 3*h(s).\nAnswer: 10*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13678\/((-57)\/(-76) + 95\/(-180))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 71?\nAnswer: 71.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469868329 to the power of 1\/3, to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.103 + 1.303. Which is the closest to 0? (a) -0.7 (b) -2 (c) k (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**(2\/7)))*l*l)**17)**41 assuming l is positive.\nAnswer: l**(16031\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - l = -12 - 6, 3*w = -3*l - 9 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7936 and 896?\nAnswer: 55552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 6)*(5 + 0 - 3) - 2 + 2 - 1 + (-2 - 2 + 5)*(-5 + 30 + 5))*(-3*z - 4*z + 0*z).\nAnswer: -259*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxkzt. Give prob of picking 1 l, 1 t, and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-425)\/10)\/(1\/(-2))?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7374.\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = -13. Differentiate b - n + 16 + 6 - 2 with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25093358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/((-5)\/(15\/9))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 3*q - 3. Let s = 75 + -26. What is the remainder when s is divided by v(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397*o - 2197 + 212 = 0. Let r be ((-3)\/4)\/(3\/(-2)). Let g = 13 - 16. What is the nearest to -0.1 in g, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68227*q - 9 + 68223*q - 136318*q in the form a*q + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3160, -3, 369 in increasing order.\nAnswer: -3, 369, 3160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1451*s. Let c(i) = 234887*i**2 + 2*i. What is z(c(a))?\nAnswer: -340821037*a**2 - 2902*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - y = 4*y + 5, -r - 7 = y. Let p be 4 - (-5 - (r + 0)). Is 11 a factor of (99\/(-6))\/(p\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 444. Suppose -m - 2*c = 0, -8*c = m - 3*c + 24. Calculate the remainder when l is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -3. Let v(r) = r + 1. Let a be v(-1). Solve a = k*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 16621*s - 547406. Give r(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -7*x. Suppose 5*r - 3*o + 20 = 0, -2*r - 8 = -x*r + 4*o. What is the common denominator of 2 - (r - 65\/(-60)) and 53\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2, 3\/2, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3\/(-5))*(-685)\/(-822).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 26*w - 2. Let g(c) = 53*c - 3. Let n(u) = -5*d(u) + 3*g(u). Is n(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/14675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 13*c = 60. Solve -5*q + 10*q + c = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45719203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -428*q - 190*q + 3708 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 0)*((-252)\/56)\/9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1289.3970862 - -1289.4. Round n to five decimal places.\nAnswer: 0.00291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 266*y - 1330. Let x be m(5). Let o(c) be the first derivative of 31\/4*c**4 - 4 + x*c**2 + 32*c + 0*c**3. Differentiate o(q) with respect to q.\nAnswer: 93*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1573) + 6*sqrt(1573)*-2 + sqrt(1573) + -2*(1*sqrt(1573) - sqrt(1573))))**2 + -1.\nAnswer: 1415699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 20*g - 2020. Calculate u(89).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - f)*(-5 - 5 + 1) + 1 + 2*f - 1 - 2*f + f - f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4559, -18211, -40935, -72707, -113503?\n\"Answer: 4*m**3 - 4560*m**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27444127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010110?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.083? (a) 0.5 (b) 0.05 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -17*u**5 + u**4 + 3*u**2 + 3*u + 3. Let r(w) = -188*w**5 + 10*w**4 + 34*w**2 + 34*w + 34. Let c(i) = 68*j(i) - 6*r(i). Find d, given that c(d) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 315, 22, 81 in decreasing order.\nAnswer: 315, 81, 22, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 6720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390970655?\nAnswer: 3, 5, 23, 1033, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2614 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469\/14292 + 2\/397. Let q = d + 79\/252. Sort 1\/7, 5, q.\nAnswer: 1\/7, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4571 - 3840. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 49*b**5\/5 + 102*b - 75. Differentiate p(i) wrt i.\nAnswer: 196*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23732, -22499, -20444, -17567, -13868, -9347?\nAnswer: -4004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6\/13, 9 in decreasing order.\nAnswer: 9, 1, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12058, 9578, 7098, 4618, 2138?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 6. Let r(n) = -n**2 - 9*n - 5. Let q(y) = -y. Let x(d) = 3*q(d) - r(d). What is the lowest common multiple of x(z) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1480 + 1284.15.\nAnswer: -195.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 846 + -852. Let m(n) = 3*n + 2. Let s be m(-1). Sort -3, p, s in descending order.\nAnswer: s, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 1071\/222293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 5 - x**2 - 10 + 3*x + 4*x**4 + 2*x**3 + 8 to the form f*x + t + d*x**2 + c*x**3 + l*x**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 590086?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003801 rounded to five dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527 - 592 - 1365 = -110*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(11 + 565)\/16 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 3, a: 1, x: 1}. Give prob of picking 1 x and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/153 - 8096\/(-36). What is the greatest common factor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4510 - 32741?\nAnswer: -37451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + 75\/(-6). Let g(b) = b**3 + 13*b**2 + 10*b + 7. Let w be g(l). Let y = w + -26. Solve y*c = 5, 3*c - 2 = 3*p + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665898 is divided by 2265.\nAnswer: 2258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 2. Let y(u) = -u - 4. Let k = -844 + 849. Calculate k*l(w) + 2*y(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h + 1)*(7 + 0 - 3)*(7*h + 4*h + 4*h).\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-2)*(-176)\/(-220).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c. Let d(q) = -56706*q - 2. Give u(d(i)).\nAnswer: 567060*i + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -294 - -5000\/17. Which is the nearest to 1\/3? (a) 1 (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 28242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83913\/13 - 6455. Which is the closest to 10\/3? (a) m (b) -1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0550290189 to 5 decimal places.\nAnswer: 0.05503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 1)*(16 - 7 + 56)*(1 - 2 - 1)*(0 + 0 - 2*z).\nAnswer: 1040*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 4*j. Suppose j = -2*h + 3*h - 28. What is the remainder when 54 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15158 - -16094. What are the prime factors of r?\nAnswer: 2, 13, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69392503235\/16653154 + -2\/1189511. Let y = c + -4161. Calculate the common denominator of 107\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 140*k + 47. Let a be g(-47). Let s(r) be the second derivative of a - 5*r + 0*r**2 + 1\/3*r**3. Let w(i) = 10*i**2. Determine w(s(o)).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, -3\/4, 8, 0.06 in increasing order.\nAnswer: -3\/4, 0.06, 0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1846.2 in -12, 19, 0.5, -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000) - (sqrt(1000) - (sqrt(1000) - (sqrt(1000)*-3 - sqrt(1000)) - sqrt(1000) - sqrt(1000))))\/(sqrt(128)*3))**2.\nAnswer: 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*b = b - 24, f - 4*b + 8 = 0. What is the lowest common multiple of f and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -654.3 - -658.3. Suppose 2*q - 4*q + 10 = 0. Sort f, 3, q.\nAnswer: 3, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -1068*l + 1071*l + 4*r, 4*l = -30*r + 40 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7481*r - 59885. Give g(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3056, -6111, -9166, -12221, -15276, -18331?\n\"Answer: -3055*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*c**3*k + c**3 + 103*k wrt c.\nAnswer: -39*c**2*k + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a - 51*a + 59*a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**5 - 280*q**3 - 480*q**2 + 1040*q + 1920 = 0.\nAnswer: -6, -2, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3 - 0)*(-4)\/8. Let b(c) be the first derivative of 3 + 3*c**2 + 0*c + 1\/5*c**5 + 0*c**3 + x*c**4. What is the second derivative of b(m) wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58330 + -32427. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 4. Let j be c(3). Let f(i) be the first derivative of -7*i**2\/2 + 2*i - 7508. Give f(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 3. Let i be a(5). Suppose -u + 7 = -3*g, 2*g + 5*u - i = -0*g. What is the nearest to 0 in g, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**2 + 1\/3*z**3 + 0 - 2*z. Let q(t) = t**2. What is q(l(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63115040 divided by 63115040?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(9\/6 + -1). What is the common denominator of t\/10 - (-369)\/(-20) and 19\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 + 3*t - 1. Let o(p) = p - 1. Let a(c) = -5*o(c) - u(c). Let r = 7 - 15. Let q be a(r). What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10*10\/(-2). Suppose w*p - 17 = 19. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 6. Determine w(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 25. Let t(d) = 9*d - 22. Calculate 5*t(v) - 4*y(v).\nAnswer: 5*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156902 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -38870 divided by -19435\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 8, -5, -54, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 - 12255167?\nAnswer: -12255146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*d**3 + 165*d**3 - 79*d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 1574*n + 25 + 1566*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5) + 19\/5. Suppose 3 = -o*k + 11. Suppose -4*a - 1 = -9. What is the remainder when a is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11)\/22)\/(2\/(-12)). Let a(i) be the first derivative of 8*i + 0*i**2 - 11\/3*i**p + 9. Differentiate a(z) wrt z.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*f = -116*f + 182280. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/9 > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 2416.\nAnswer: 21744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93473.26 millimeters to meters.\nAnswer: 93.47326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*1)\/sqrt(5))\/sqrt(7).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Let z be s(-6). Suppose -2*a = -8, -w + 21 + 50 = 5*a. Let y be w*-1 + 5\/z. What is y rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - 4*sqrt(28)\/sqrt(4)))*2.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -680 and 1.25081?\nAnswer: 681.25081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -1\/4*u**4 - 20*u + 0*u**3 + 1\/2*u**2 - 7. What is a(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55\/8 + -197\/24. Let m = -6 + 2. Which is the third smallest value? (a) 5 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, z: 5, d: 2}. What is prob of sequence mzdm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 252*p. Let m(t) = 900*t**2 - 429*t**2 - 486*t**2. Give m(y(o)).\nAnswer: -952560*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 2. Let l be (-3 + -1)*102\/(-24). Suppose -2*m + 2*j - 38 = 0, -5*m - 5*j - l = 28. Let s(a) = a + 10. Let p be s(m). What is o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 23 - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-318)\/(-8))\/(54\/180). Let w = i + -132. Which is the closest to w? (a) 0 (b) 0.3 (c) -0.5 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2276? (a) -1 (b) 1\/4 (c) 3\/4 (d) -4 (e) -26\/5 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103.079 - -103. Let a = l + 0.018. What is a rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.57. Let f = -0.87 + p. Which is the second smallest value? (a) 0.01 (b) -3\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:09 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 216028, 432019, 648012, 864007?\n\"Answer: d**2 + 215988*d + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 220250 (base 7) to base 11\nAnswer: 26a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-2\/69)*(w**(-1\/10)*w)\/w**(1\/6))\/((w**(-5\/4)\/w*((w\/(w**(-6)\/w*w))\/w)\/w)\/(w*w**(-2))**(1\/20)) assuming w is positive.\nAnswer: w**(-703\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1540 = 63*m - 532 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -3)*1\/3. Let l(f) = 2*f + 779. Is l(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 134 + 399. Let r = s + -40. What is the remainder when 51 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13935284 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -998, -14803 in decreasing order.\nAnswer: -13, -998, -14803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/(1485\/594)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.309, -1, 2\/11, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*w - 11, 5*z - 25 = -0*w + w. Suppose -4*d = -z*r - d + 151, r - 38 = d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 415522 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 4*v - 12 = 7*w, -3*w - 3*v = 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 546\/28*(-7)\/(-27) and 41\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 4, a: 5}. Give prob of picking 1 a and 1 i.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 52 - 11 - 4486*k - 3478*k + 119.\nAnswer: -7964*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*r - 4*g, 3*g - g - 28 = -4*r. Let x(l) = -r*l - 10*l + 7*l. Let s(w) = -w. Give s(x(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, m: 2, b: 2, x: 3, d: 3, t: 1}. What is prob of sequence mbbd?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*1*sqrt(65))\/(-5*(-2*sqrt(720) + sqrt(720))).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 25 = -5*z. Let b = z - 7. What is the remainder when 2 is divided by -1 + (-4)\/(16\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v + 12 - 12 + 17*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*y + 103015 = 579*y. List the prime factors of y.\nAnswer: 11, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136631 (base 9) in base 7?\nAnswer: 465535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (231\/22)\/21*943\/41?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/((-644)\/24)*(-1078)\/(-33).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2652564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/4505*-561*(-15)\/(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4. Let v(h) = h + 11. Let a(p) = 4*v(p) + 11*w(p). Let k(m) = -16*m. Calculate a(k(f)).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35384 = o - 5*u, -2*o + u + 6706 = 77501. Do -35398 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(1100) + 1 - (3 + 2*sqrt(1100))).\nAnswer: 10 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 28*f = 38 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d + 0*d)*(3*d**2 + 0*d**2 - 4*d**2) - 5*d**4 + 4*d**4 + 2*d**4 + (1 - 1 - d)*(d**2 - d**2 + 3*d**3).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 3*r = 17, -2*q = -5*r - 32. Let j be 0 + q + (-6 - -1). Solve -2*l - 4 = 2*m, -4*l + 2 - j = 3*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 31, 4, -43, -116, -221, -364, -551?\n\"Answer: -b**3 - b**2 - 3*b + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(-3 + 252\/81). Let n be 2 + (y - 1) - (0 - 12). Suppose 4 = 2*c - 16. Calculate the greatest common factor of c and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 5\/2, -9115, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11007157 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: Is 6 a factor of 827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500) + sqrt(1440)\/sqrt(8))**2.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (219\/146)\/((-3)\/62). Put -5, r, 21 in increasing order.\nAnswer: r, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (101 + 22500\/(-240))\/(-2 - -2 - 2\/(-8))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 3687*z + 13341880.\nAnswer: -(z - 2248)*(z + 5935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + x - x - 6 = -12*c, c + 4*x + 3266 = 3243 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 881699 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.34 and -114.\nAnswer: -152.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 - 11?\nAnswer: 10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.43934 to 2 dps.\nAnswer: 8.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*b, 0*i + i - 24 = 3*b. What is the least common multiple of 22 and (i\/18)\/(1\/18)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11678148 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42228 is divided by 49?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1963*i - 1969*i + 30 = 0. Suppose -3 - 18 = -2*c - i*k, -5*c - 4*k = -27. Solve 4*z - 12 = -t, 0*t - 12 = -4*z - c*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. Let y = -532\/5 - -106. Let q = -15 - -12. Which is the second biggest value? (a) z (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13430 is divided by 347.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 7. Let f = -625\/12 + 154\/3. What is the third biggest value in 1.3, 2, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2509840 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: Rearrange -142680 - 1358*n + 142680 to c*n + k and give c.\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, -27, -135, -243?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t - 2. Let a be v(-1). Let h(u) = u**3 - 8*u**2 + 3*u - 8. Calculate the remainder when 31 is divided by h(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 14 + (-180)\/12 + (834 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257610?\nAnswer: 2, 3, 5, 31, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - (-3 + 14 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u + 1. Let f be s(2). Suppose -f*x + 6 = 0, w + 0 = -4*x + 3. Let v = w - -19. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 623309025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 737, 1479, 2221?\n\"Answer: 742*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3\/3 - 7*h**2\/2 + 18. Give x(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 + 3*s - 9. Suppose 2*f - 3 = -f. Let r(o) = 0 + o - 1 + f. Let q(k) = -h(k) + 3*r(k). Differentiate q(z) wrt z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1216 - -1218. Let s = -6 - -2. Put -53, -2, q, s in descending order.\nAnswer: q, -2, s, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.21991835 rounded to two dps?\nAnswer: -4.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 110\/(-1540) + (1977\/(-21))\/(-1*2). Solve v*n + 162 + 167 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -130 and -46728858.\nAnswer: -46728988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53800*a**2 + 28454 with respect to a.\nAnswer: 107600*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87621 + -44874. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 111*w**2 + 9409*w + 9519.\nAnswer: -(w - 57)*(w + 1)*(w + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + x = -70. What is the third derivative of 12*f**5 + x*f**2 - 12*f**2 + 0*f**5 wrt f?\nAnswer: 720*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2825026570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (-14 - -8)) + (-1 - (-13 - -10)) - 6\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 1 + 1)*(0*w - w + 2*w) + (42*w - 9*w - 10*w)*(-2*w + w + 2*w) + 2818*w - 2818*w - 7*w**2 - 3 - 3*w + w**2 + 3*w.\nAnswer: 16*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 595, 2394, 5391, 9586?\n\"Answer: 599*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*w - 1, -8*w + 11*w = -2*c - 3. Let h(n) = n**3 + 3*n**2 + 4*n + 2. What is h(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**4 + f**3 + f**2. Let y(p) = -9*p**4 - 42*p**3 - 3*p**2 + 36*p + 12. Let q(t) = 6*v(t) + y(t). Let q(m) = 0. Calculate m.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.490055 times -23?\nAnswer: 34.271265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -966031, -3864163, -8694391, -15456715, -24151135, -34777651?\n\"Answer: -966048*v**2 + 12*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1845 and 77\/3075.\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1376*p**2 - 327*p**2 - 2409*p**2 in the form j*p + l + q*p**2 and give q.\nAnswer: -4112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + (sqrt(1573)*-1 - sqrt(1573)) + 5 - (sqrt(1573)*1 + -5)) + -3 + sqrt(1573) + (sqrt(1573)*-2*-1 - sqrt(1573)))*4)**2.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -74 (c) -54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7731, 7730, 7729, 7728?\nAnswer: 7727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46480 = -580*r - 335*r + 575*r - 822*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61\/2 - 30. Let k = 2950\/11 + -268. Which is the closest to 0.2? (a) 2 (b) k (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152.9 + 153. Let o = -1893.3 + 1901. Which is the second smallest value? (a) q (b) 0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(1\/3)*r*r**(3\/5) assuming r is positive.\nAnswer: r**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1396\/2443)\/(-4*1\/(28\/146)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**6\/120 - 3*q**5\/20 + 9*q**4\/8 - 9*q**3\/2 + 5*q**2\/2 - 5. Let f(b) be the second derivative of s(b). Solve f(a) = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*o - 5*z - 35, -2*z - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:13 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318 by 6.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -77935260604 and 0.0256.\nAnswer: -77935260603.9744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3385046917 to the power of 1\/2, to the nearest integer?\nAnswer: 58181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -805.7809\nAnswer: 4834.6854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i = 15. Let a(p) = p**2 + 2*p + 1. Let s be a(-6). What is the highest common factor of i and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3335 + -1897. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {a: 8, u: 7, f: 2, v: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 6*h + 25. Put 2, 5, h in ascending order.\nAnswer: h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 + 2 + 26*w**2 - 6*w**2 + 13*w**2 - 78*w**2 + 54*w**2.\nAnswer: 21*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g + 0*g)*(-390 - 2702 + 201 - 676).\nAnswer: -7134*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0 - 10\/3*d**3 - d - 1\/2*d**2. What is the units digit of f(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -232 + 119 - j**2 - 252 + 142 - 259 as v*j**2 + w*j + b and give b.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/3 - 50*o**4 + 98*o**3 - 146*o**2\/3 = 0.\nAnswer: 0, 1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, -3, 5 in descending order.\nAnswer: 5, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2, -0.4, 3877, 0.5.\nAnswer: -0.4, 2\/7, 0.5, 2, 3877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 3*h - 8, 2*p + 2*h = 0. Let j(m) = -m + 0*m - m**3 - 7*m**p - 5*m. Give j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 139310*z + 8358597. Determine c(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 77.292915 hours?\nAnswer: 0.460076875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (68\/(-306))\/((-1)\/3). Factor -1\/3 + m*h**2 - 1\/3*h - 1\/3*h**4 + 2\/3*h**3 - 1\/3*h**5.\nAnswer: -(h - 1)**2*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 2*k**5 + 1 - 1 + (-68*k**2 - 142*k + 142*k)*(6*k**2 - 2*k**2 - 2*k**2)*(8*k + 21 - 21) + k**5 + k**5 + k**5.\nAnswer: -1087*k**5 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose w*t + 13 = 3*t. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (74\/345765*89)\/((-1)\/5)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*d = -12, 5*w + d = -0*d + 17. Suppose 0*g = -w*g + 93. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -646, -979, -1312, -1645?\nAnswer: -1978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i + 22 - 13*i**2 - 26 + 17*i**3 - i**4 - 11*i**3.\nAnswer: -(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 415 - 445 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0582 + 0.1482. Sort 2, -1\/3, w in decreasing order.\nAnswer: 2, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxnm when four letters picked without replacement from nnmannmlmxlmnaalaaln.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1748*s + 3610. What is the tens digit of o(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s + 78. Let z be 6 - (-655)\/(-25) - 16\/(-80). Give u(z).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**2 + 3984*o + 11961 = 0.\nAnswer: -3, 3987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -1*(-2 - 0). Let c = p - -8. What is the units digit of 0 + (-2 - -3) + c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.28 - 0.02. Let s = 35 - 33. Put -1\/7, -1, k, s in descending order.\nAnswer: s, -1\/7, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*120\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsleeevvvxlsswvesl. What is prob of sequence sse?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*((q**(-4\/7)*q)\/q*q)\/q))**(6\/13))**(-30) assuming q is positive.\nAnswer: q**(-1980\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 653.3542 to the nearest integer.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*h - 0*h. Suppose -h*v = 3*l + 34 + 2, 2*l = v - 24. Let y = l + 10. Let n(m) = -m**3 - 4*m**2 + m + 2. Calculate n(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019376 rounded to 4 dps?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21492*a**2 - 1332964*a - 28520.\nAnswer: -4*(a + 62)*(5373*a + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 + -4.5. Let q = r - 1. Let d = -1 - q. Which is smaller: 0.3 or d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40081626 divided by -234.\nAnswer: -171289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3249407?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - (-681)\/15. Suppose -a = -5*n - 4*c, 0*c = -2*n + 2*c. Let j(v) = 2*v - 6. Let i(h) = 1. Let u(x) = i(x) - j(x). Give u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(((-5)\/20)\/(22\/8)). Let b(y) = 2*y + 58. What is the tens digit of b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**7\/42 + 419*b**4\/12 - 117*b**3 + 2177*b. Find the second derivative of h(d) wrt d.\nAnswer: 20*d**3 + 838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 41 + (-5540 - -5579)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a = 5*g - 63*a + 70, 26*g + 99*a - 104*a + 354 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwoonowoswsww. Give prob of sequence no.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -320?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000212132 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a week in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let k be (-1)\/(-3) + (-609)\/(-63). Suppose -j + k = v. Solve 2 = -4*i + j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/10)\/(1*(-264)\/(-6340)). Let u = d + -907\/462. Find the common denominator of u and (1\/1)\/(16\/126).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-40*(-90)\/(-7200)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/43205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from {k: 1, m: 1, v: 4, q: 6, y: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 - s + 1. Let q be r(1). Let m = -7 + 9. Suppose 6*c - 16 = -m*c. Solve q*u - 17 = -h, 3*h + c*h - 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*z + 2566 + 47933 = 0 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 i, and 1 k when four letters picked without replacement from {k: 3, i: 4, l: 2, d: 8}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x**2 - 19*x - 15. Let a = -749 - -759. What is z(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k - 0. Which is the third biggest value? (a) k (b) -3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/120639288 and 103\/29612.\nAnswer: 120639288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a factor of 1205076000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2076 is divided by 231?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -39518881564?\nAnswer: 39518881560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 3*g + 7. Give t(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 266280535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 5*f + 3. Let q = 68 + -63. Suppose 3*m + 2*j = 12, -5*m + q*j + 32 = -13. Determine n(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 7 + 28 = 0. Solve -v*p = -13 - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153808739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -9670*h**7\/7 - h**3\/3 - 1991*h**2 + 6612. Find the third derivative of j(i) wrt i.\nAnswer: -1160400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/20*(-1)\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2523 and 522.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1111010110?\nAnswer: -1111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 146141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z. Let b(a) = -2*a - 1. Let t(u) = b(u) + 5*f(u). List the prime factors of t(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13928851 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 4*a**2 + 0*a**2. Let j(v) = 11*v - 17*v + 7*v - 34*v. What is j(l(d))?\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -6*(sqrt(1584) - sqrt(1584)*2))*4)\/(sqrt(4) - sqrt(176)\/sqrt(11) - sqrt(8)\/sqrt(18)).\nAnswer: -126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2208*q**3\/11 - 950*q**2 - 15304*q\/11 - 6472\/11 = 0.\nAnswer: -2, -809\/1104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 1068*h**2 - 2124*h + 1060 = 0.\nAnswer: 1, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 152.47. Let x = -0.27 + z. What is the second biggest value in x, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1519814 divided by 458.\nAnswer: -759907\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/291 + -947\/679. Find the common denominator of 53\/2 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1183, -1189, -1199, -1213, -1231, -1253, -1279?\nAnswer: -1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/690 - k**5\/230 + k**3\/69 - 19*k**2. Factor l(h).\nAnswer: -2*(h + 1)**2*(2*h - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9141 times -0.3?\nAnswer: -2742.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/14)\/(129\/(-43))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2896 - -4234. List the prime factors of a\/4*(704\/(-24))\/(-11).\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 4*n**2 + 3. Let z be v(4). Let s(c) = -c**3 + c**2 + 3*c - 2. Let u be s(2). Which is bigger: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 50 = -u - 2*n, 0 = 5*n + 25. Calculate the remainder when 138 is divided by u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 147, 2593, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from iifniiqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 27. Solve 0 = -n + 4*o - 1 - 9, y*n + 5*o = 25 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:34 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*t - 14, -4*h - t + 8 = -h. Solve 4 = -4*o - 3*x, -h*o + 6 + 2 = 4*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15435.5+-613.75\nAnswer: 14821.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 5:05 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**7\/735 - q**6\/420 + q**5\/210 + q**4\/84 + 8*q**2. Suppose v(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 + 146. Suppose -4*q + 21 = -7. Let j = q + -6. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1345754992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (9 - -6) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 6*v + 6. What are the prime factors of y(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 16 - 46. Suppose -5*v + x = -g, -26 = -4*v + g + g. Suppose 1 = -w + v. What is the nearest to 0 in 0, 1, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 + d**2 - 124052*d + 6 + 124052*d. Let v(n) = 6*n**2. Determine v(o(c)).\nAnswer: 96*c**4 - 288*c**2 + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 3*u**2 + u - 2. Let j be p(2). Suppose -2*d - q + 12 = -1, d = -5*q - 16. Suppose -5*b + 1 = -d. Put 3, b, j in decreasing order.\nAnswer: 3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 13*s**2 - s + 19. Let i = -210 + 121. Let o = 102 + i. Let v be l(o). Solve -4*q + 10 + v = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, b: 1, z: 7, x: 2, r: 3}. What is prob of sequence brzz?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 14219*b**4\/24 - 13279*b**3\/6 - b**2 + 47*b - 5. Differentiate w(a) wrt a.\nAnswer: 14219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 20. Suppose 11*n - r = 5*n. Suppose 1\/2*a**4 + 0*a**2 + 0*a + 0 + 1\/2*a**n = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21399244 + -11583925. Let k = a + -24855319. What is k rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -177, -253, -329?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 991 - 705. Let c = s + -290. What is the biggest value in -2\/13, c, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/2*108\/(-81). Calculate the remainder when 10*o\/((-4)\/120*8) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -132)\/1 + 2. List the prime factors of v\/12 + (-1)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/4 - 11*y**4\/12 + 59*y**3\/6 - 275*y. What is the second derivative of r(k) wrt k?\nAnswer: 30*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4c + -a?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 5\/6*u**6 + 0*u**2 + 9\/4*u**4 - 12\/5*u**5 - 2\/3*u**3 - 8 + 0*u. Factor p(m).\nAnswer: m**2*(m - 1)**2*(5*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1311, 2629, 3947, 5265?\nAnswer: 6583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -4)*41528\/(-4296)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54757 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 11*j - 7*j. Suppose 3*s = 3, -5*f + 0*f + j*s = 37. Let b = -1 + f. Which is smaller: -9 or b?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m + 5. Let y(h) = 6*h**2. Determine o(y(f)).\nAnswer: -42*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 6*n**2 + 6*n - 2. Let z be 6 + -3 + -2 + (-6 - -1). What is the units digit of c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k, -73*k - 10 = h - 78*k. Solve h = -17*r + 19*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(3))**2 - sqrt(3) - sqrt(3))*4 + -3 - sqrt(33)\/(-6*(sqrt(11)*3 - sqrt(11))).\nAnswer: -95*sqrt(3)\/12 + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44\/3 - 15. Let q(h) = h**3 - 8*h**2 + 6*h - 4. Let k be q(7). Let u = k - -10. Is c less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 5, u: 1, c: 5, r: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 48*h + 333. Let c be r(-6). What is the highest common divisor of c and 1665?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334749176 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 4*s - 2*s**3 + 2*s**2 - s**2 + 4*s**4 - 3*s**4 as k*s**4 + n*s**2 + x*s**3 + r*s + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**3 - 4*o**2 + 4. Suppose 5*p + 3*t + 0*t - 4 = 0, 4*t = -p - 6. Let f(d) = -4*d**p + 11 - 20*d**3 - 7*d**2 + 3*d**3. What is -11*a(k) + 4*f(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 1 - 4 + z - 3*z**2 + 4*z**2 + 2*z**2 - 4*z. Let m be (28\/35)\/((-2)\/(-5)). Let k be (3\/m)\/((-1)\/(-2)). Calculate x(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, -4*k = -9*k + 2*v + 996. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppiipppppip. What is prob of sequence pi?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-14) + 12\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27598 divided by -1.\nAnswer: -27598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*q + 0*q = -7, 0 = -3*y - q + 4. Suppose 2*p = -n + 5*p + 5, 5*n + y*p = 25. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1297*g**3*z**2 - 253*g**3*z + 2*g**3 + 1073*g**2 + 59*g with respect to z.\nAnswer: 2594*g**3*z - 253*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/7 + 562*p**3\/7 - 44328*p**2\/7 + 86840*p + 946400 = 0.\nAnswer: -7, 28, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.262666687 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1595928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56012058.\nAnswer: 2, 3, 43, 72367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:58 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3542 and 5223806.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3155.09 + -3155. Let i = -1 - 4. Let w = -1.27 - -1.17. Sort w, u, i in ascending order.\nAnswer: i, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20463089?\nAnswer: 457, 44777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, j: 2, r: 2, g: 1, v: 1, k: 1}. Give prob of sequence gjvg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595080287.\nAnswer: 37, 16083251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6470 - 14823 = -v + 5750. List the prime factors of v.\nAnswer: 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42374 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 18746 - 37503 + 9*j**2 + 18756 - 1408*j in the form r*j**2 + w*j + t and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**2 - 8*w - 3934. Let z(k) = k + 3. Suppose -3*o + 27 = -3*u, -2*o + 3*u + 43 = 3*o. Give o*z(s) + 3*i(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 28, 2, 4155 in increasing order.\nAnswer: -1, 2, 28, 4155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 13*a**2 + 16*a**2 - 17*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 9:14 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610\/380 + (-18)\/4 + 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 132\/34 - (-2)\/(-68)*-4. Let s = 8 + -3. Which is the smallest value? (a) s (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 + 18*c**3 - 23*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and -54555800118.3.\nAnswer: -54555800117.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*j + j - 214 = 0, 208 = 4*h + 2*j. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3743987 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 3\/16, 8, -603, 0.2?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/3696 and 1\/125268.\nAnswer: 3507504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.327 + 30.3. What is the fourth biggest value in v, -2\/13, 0, -0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*h - 134 + 542 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - 8.4. Let t = 15 + x. Let w be (-35)\/195 - 2\/(-6). Which is the third smallest value? (a) w (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -15*p**2 + p - 21. Let b = -1 + 0. Let s be o(b). What is the greatest common divisor of 217 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 3 + 2 - 5 + 2 + 0 - 1 + 0 + (2 + 1 - 1)*(-2 + 2 + 1) - 3 + 1 + 3 + 1 + 3 - 3)*(2*c**2 + 1 - 1) to the form o*c**2 + d + t*c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 19*i - 419. Calculate a(23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.2174355 to 3 decimal places.\nAnswer: 34.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*g = -181*g + 58995. What is the remainder when 478 is divided by g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l**2 + 21*l - 3. Let c(u) = 2*u**2 - 11*u + 1. Let v = 19765 + -19762. Give v*i(x) + 7*c(x).\nAnswer: -x**2 - 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 0*y**2 + 2*y**2 + (-2 - 1 + 2)*(-5*y**2 + y**2 + 6*y**2) + (3*y**2 + 0*y**2 - y**2 + (y - 2*y - y)*(-2*y + 3*y - 2*y))*(1 + 0 + 0).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 180007 to the power of 1\/2, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h**2. Let o(w) = -9*w. Give o(j(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 12*f**2 + 12*f. Let q be o(11). Suppose -q*w = 6951748 - 351748. What is w rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*-3*(sqrt(76) + 1 + sqrt(76)) + 3)**2 + -3 + 2.\nAnswer: 24624*sqrt(19) + 889712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127795327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (692*b**3 + 3 + 58*b + 2*b**2 - 583*b**3 - 86*b**3)*(-7*b + 3*b + 2*b) to the form n*b**3 + o*b + z + i*b**2 + m*b**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3*(sqrt(171) + 1*sqrt(171)))**2 + 3*(-1 + sqrt(171)) - 5*(((-2*sqrt(152) - sqrt(152))*-4)\/(1*sqrt(200)))**2.\nAnswer: 9*sqrt(19) + 28009\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {a: 1, t: 2, q: 2, r: 3, i: 1, b: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*sqrt(108)\/sqrt(4) + sqrt(27) + (sqrt(297)*1)\/sqrt(11) + 0)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/2*160\/(-60). Let v be -6 + 6 + (-8)\/m. Let c = 503 + -9555\/19. Put v, c, -1\/10 in decreasing order.\nAnswer: c, -1\/10, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 183*v**5\/5 - 209*v - 99. Find the first derivative of r(d) wrt d.\nAnswer: 732*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68862960 a multiple of 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 10*m - 8. Let l be v(-8). Let k be (0 - -1 - (-448)\/3)*-1. Let o = k - l. Which is the biggest value? (a) -1\/3 (b) 0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 2*j + 2. Let i(g) = g**2 - g. Suppose u - 6 = -2*u + 3*t, -24 = -4*u - 4*t. Let c(k) = u*i(k) - m(k). What are the prime factors of c(-6)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4 + 0)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6360 = -15*o + 6210 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**2 + 33101*f - 99295. What is z(3)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 13. Let t be 3 - (-3 + 3 - -10). Let a(f) = -f**2 - 2*f + 2. Let i(w) = 4*w**2 + 7*w - 7. Let s(r) = t*a(r) - 2*i(r). Give s(h(q)).\nAnswer: -q**4 + 26*q**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -682\/9 - -76. Let z = -173 - -175.08. Let y = z - -0.02. Which is the smallest value? (a) n (b) -0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4279984 = j, -2*j + 5*j - 4*q - 12839984 = 0. Let m be j - (-5)\/(-35)*0. What is m rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4416, -17451, -39108, -69387, -108288, -155811?\n\"Answer: -4311*k**2 - 102*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -26, -56, -100, -158, -230, -316?\n\"Answer: -7*p**2 + 5*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)\/b)**1*(b**1\/b)**18 assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1953*r = 166*r - 47831 + 127819 + 32319 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -2.6 (c) -2 (d) -55 (e) 0.4 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10489 - 6*x**2 - 5*x**2 + 13*x**2 + 3561.\nAnswer: 2*x**2 + 14050","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13*s**(1\/12))\/(((s**(-2\/5)*s)\/s)\/s*s*s*s\/(s**0*s*s)*s) assuming s is positive.\nAnswer: s**(749\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 482, 851, 1206, 1541, 1850, 2127?\n\"Answer: -j**3 - j**2 + 379*j + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - d. Let f(t) = 7*t**2 + 3*t - 7. Let s(g) = -f(g) + 6*l(g). Let i be s(-10). Put i, -4, 1 in decreasing order.\nAnswer: 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) 6\/11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/4))\/j**(-5)*j\/((j*j**3*j)\/j)*j**(2\/3)*j*(j**(-1\/4)\/j)**34*j**(-4)\/((j*j**(1\/2)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-505\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171a3 (base 16) in base 3?\nAnswer: 2011002011212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 939 + -939.3. Which is the closest to 1? (a) m (b) 0.3 (c) 3\/5 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -5*n**2\/2 - 17*n + 32. What are the prime factors of a(-22)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/7 + 3\/14. Let r(k) be the first derivative of 0*k**2 + 3 + 0*k - w*k**4 + 1\/3*k**3. Find the third derivative of r(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.1 (b) -23.27 (c) 26.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/385633229 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3978)\/12)\/(-39) + 6\/4. Put 3, 1, -0.3, k in increasing order.\nAnswer: -0.3, 1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 6168?\nAnswer: 191208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.786 - 3.214. What is the smallest value in -0.3, 3, v, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j**2 - 3*j - 3. Let x(r) = -16*r**2 - 7*r - 7. Let m(g) = -7*a(g) + 3*x(g). Let u(p) = 3*p + 3*p - 5*p. Give u(m(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 4*a**2. Let f be k(-4). Suppose f = 5*r + 3*x - 78, -2*r + 42 = r + 3*x. Let p = r - 11. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**4 - 419*k**3 - k**2 - 2*k + 6450 wrt k.\nAnswer: 120*k - 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7984 = 5*w. Suppose i + 3*i = w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, b: 7, z: 1, h: 2, o: 4}. What is prob of picking 2 h and 1 j?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15605 - 1407?\nAnswer: 14198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 872790 divided by -470?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/26)\/y*y**(-7\/3) assuming y is positive.\nAnswer: y**(-269\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1805 and 8664?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 894015258 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2 + 4. Let j(d) = 41*d**2 + 2*d + 1. Is j(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774 = 97*l - 487 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-2*(-2 + (-66)\/(-12)). Put -2, w, 5, -4 in increasing order.\nAnswer: w, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -707, -2782, -6229, -11048?\n\"Answer: -686*i**2 - 17*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -633, -968, -1305, -1644, -1985, -2328?\nAnswer: -2673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184747219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from qeepqeywqry?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (7 - 5) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -456331741 - -2?\nAnswer: -456331738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - 112 - 108 - m**2 + 322.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4278 divided by 6?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-4)\/101) - -2. Suppose 3*u = -0*u - 2*o + h, -o = -4*u + 119. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + (sqrt(25)\/((-2*sqrt(35))\/sqrt(7)) - (sqrt(5) + sqrt(25)\/sqrt(5) + sqrt(5) + -3 + sqrt(605) + sqrt(605) + -2)))**2*5.\nAnswer: -255*sqrt(5) + 65045\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 plus 28185296234?\nAnswer: 28185296493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 133.3511605+-2.5\nAnswer: 130.8511605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 67 = 3*y, -58 = 3*t + 3*y - 4. Let h = 18 + t. Suppose h*z + 8 = 2*r - 15, 5*z + 27 = 3*r. Is -2 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -28.22. Let j = i + 0.12. Is j at most as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*j + 2*j + 144, 4*j - 72 = -h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 136*h**2 + 414*h + 606. Let t be g(139). Put -3, t, -1 in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**2 + 1. Let n be i(-1). Let l be (15\/(-10))\/(n\/34). Let g(q) = q**3 - 17*q**2 + 6*q - 17. Is g(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.60999697 - -3.61. Round g to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f + 3. Let p be v(-2). Let u = p - -30. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9163663842 minus 60.01?\nAnswer: -9163663902.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29729235139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/180 and 137\/59724.\nAnswer: 298620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9303?\nAnswer: 3, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21473*s**3*y**3 - 7*s**3*y**2 - 2*y**3 - 10697*y**2 wrt y?\nAnswer: -128838*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h - 76*h - 18*h + 140745316. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8066*l**3*t**2 - 6*l**2*t**2 - l**2*t + 2*l*t**2 - 59*t wrt l.\nAnswer: 48396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wmym when four letters picked without replacement from {m: 2, y: 2, w: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(8\/5)*204\/51?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/21 and 59\/15508449?\nAnswer: 108559143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**3 - 3*c**2 - 2. Let k(a) be the third derivative of a**6\/120 - a**5\/60 - a**3\/6 + a**2 + 37. Calculate 3*k(z) - l(z).\nAnswer: -4*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 5*u**2 - u + 5. Let l be b(5). Suppose -6 = y - f - 23, l = 5*f. Suppose -2 + y = 3*c. Solve 0 = -c*j - w - 11 - 4, 2*w = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 76896 = -6*s + 42*s. Calculate the least common multiple of 6 and s.\nAnswer: 4806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2268*n + 20*n**2 - 8*n**3 + 2272*n - 3 - 21.\nAnswer: -4*(n - 2)*(n + 1)*(2*n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -28*o - 5. Let q(a) = 27*a + 4. What is -3*q(c) - 2*w(c)?\nAnswer: -25*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 1 + (1 + 3 - 3)*(0 + 0 - 1) + 3 + 0 - 5 - 3 - 1 + 3)*(-3*g + 2*g + 2*g) as p + j*g and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 17824 = -2*t, -3*y = -2*t - 7009 - 19727. Suppose 4*b - y = 3*h - 2025, 2*b - 3437 = -5*h. List the prime factors of b.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3997 - 797 = 20*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)*h**1*h)\/((h*h*h**1*h*h)\/h)**(5\/2))\/(h**(2\/5)*h*h**(-2\/7)*(h**(-2\/7))**(-12)) assuming h is positive.\nAnswer: h**(-1352\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let j(n) = 2416892*n. Give i(j(w)).\nAnswer: -11682733879328*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 + 8*g + 1. Let t(d) = -d**3 + d**2 - 2*d + 1. Let i(q) = -m(q) - 2*t(q). Give i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g*g\/(g\/(g\/(g\/(g**(-3\/10)\/g)*g))))\/g*g*g**(-26)\/g assuming g is positive.\nAnswer: g**(-273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i - 1 + i**2 - 5 + 3 - 5. Let d be g(-10). Find o such that 0 + 2\/5*o**4 - 2\/5*o**5 - 2\/5*o**d + 2\/5*o**3 + 0*o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 2)*(2*h + 2*h - 5*h + (-22 - 15 + 12)*(2*h + 4 - 4)) + 4 - 4*h - 4 to m + y*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 0*c**4 + c**4)*(2 - 4 + 3) - 286*c**4 + 293*c**4 - 2 - 3.\nAnswer: 6*c**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**2 + 67*l**2 - 4*l**3 - 51*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: d (base 16) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 l when two letters picked without replacement from lgstmtgtggmtmytmg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -3\/13 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*a - 4 - 50 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 2117 and 1.\nAnswer: 2118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.211 + 0.091. Let j = z + 22.11999027. What is j rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30724274507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.59223 months in millennia?\nAnswer: 0.0177993525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d - 5*k - 94 = 0, 3*d = -5*k + 362. Is 38 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 2*q**2 - q + 3. Let y be t(-2). What is the second derivative of -7*s - 54*s**3 + 54*s**3 - 2*s - 3*s**y wrt s?\nAnswer: -60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 - 19*q + 18667. Give j(75).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 187228693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -2, 0.13, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*q + 793*q + 66*q + 565*q.\nAnswer: 1860*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126144033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/((-3105)\/(-92))*((-22)\/4 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 777\/355)\/((-8)\/1893380). Let t = d + 44668. Find the common denominator of t and (-1618)\/168 - 4\/14.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 - 2*u - 1. Let l(a) = 5*a**2 - 11*a**3 + 10*a**3 + 1 + a - 4*a**2 + 0*a**3. Let i(p) = h(p) + 2*l(p). Determine i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820702 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3401*g - 200 = -3301*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100212100 (base 4) in base 5?\nAnswer: 4133414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 2, i: 1}. What is prob of sequence ku?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134042 (base 5) to base 12.\nAnswer: 3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -3*(1 - 2). Let c(p) = -p**2 + 3*p - 2. Let b be c(1). Sort x, b, 5 in decreasing order.\nAnswer: 5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 3 + sqrt(2057)*-4 - -3*(4 + 1 + sqrt(17)*1)))**2.\nAnswer: -11808*sqrt(17) + 259497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (12400\/(-17360) - 11072\/679)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 21*s + 3*s + 4*s. Let o(y) = 179*y - 60. Let m(a) = -507*a + 170. Let g(u) = -6*m(u) - 17*o(u). Calculate k(g(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17202 - -17201.7. Which is smaller: k or 0.3087?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u**4 - 28*u + 28*u)*(2 - 3 - 1) + 2*u**4 + 2 - 2 - u**4 - 2*u**3 + 2*u**3 + (-u**3 + 4*u**3 - u**3)*(-5*u + 3*u + u).\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24821 + 24821.1000128. Let w = -0.1 + n. Round w to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10500973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/30 - i**5\/3 + 7*i**4\/6 - 2*i**3 - 9*i**2. Solve b(f) = 0 for f.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = -x, 3*p - 10 = -1. Suppose x = 7*c - 6*c. What is the derivative of -2 - 6 - t**2 + 9 + c*t**2 wrt t?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 1066, 1594, 2124, 2656, 3190?\nAnswer: 3726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsadcdai. Give prob of picking 2 s, 1 i, and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/((-4104)\/418))\/(-1*2\/(-12)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233563279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/4)\/((-3)\/4)*(-128)\/192?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 14 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203061953?\nAnswer: 3, 271, 1479781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab70 (base 12) to base 14.\nAnswer: -6c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -86503.\nAnswer: -5\/86503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y - 5 + 5)*(-2 - y + 2) + (-2*y + 3*y + y)*(4*y + y - 3*y) in the form v*y**2 + l + h*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 39 = 127. Let v(d) = 20*d - 22. Calculate the remainder when r is divided by v(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025242962?\nAnswer: 2, 3, 170873827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 505*i - 1. Let b be a(-5). Let j = -1735 - b. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*q + 369, -5*q = 2*f + 208 + 33. Let j = f - -133. Let a(l) = -4*l**3 - 2*l**2 - 4*l. Let u(k) = -8*k**3 - 5*k**2 - 9*k. Give j*a(r) - 2*u(r).\nAnswer: -4*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55457684 divided by -4?\nAnswer: -13864421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10738 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - n + 3*n + 3*n**4)*(-437 + 33 - 402) as f*n + t + z*n**4 + y*n**3 + g*n**2 and give z.\nAnswer: -2418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-50)*(-5)\/80*-20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 6*q - 5*q - 7383, q + 5546 = 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k)**(2\/5)\/(k*(k*k**(-7))\/k*k)**(-1\/6) assuming k is positive.\nAnswer: k**(-121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.492. Let o = -0.00769 + m. What is o rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-42))\/(312\/182)*8\/(-10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59911435 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.5 - -40. Let g = -5.73 + 0.23. Let y = g + 0.5. Which is the second smallest value? (a) k (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(288) + -4*sqrt(288)*1)*2)**2.\nAnswer: 259200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -4. Let i be r*(1 + (-3 - -1)). Solve i*d = -2*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6869766 and -323?\nAnswer: 6870089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12582843?\nAnswer: 3, 7, 13, 46091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 58 + 8?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 12*o**2 - o. Calculate r(11).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-36)\/10)\/3)\/((-7722)\/21450)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*c, -50*z - 54 = -55*z + c. Let n(y) = -y**2 + 6*y - 18. Calculate n(z).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 215*o - 5163. What is m(24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + 5*o - 2. Let l be f(6). Calculate the remainder when (-2)\/l*6*2 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6506657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3284 + 13167*b - 3284.\nAnswer: 13167*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251 - 266 - (-4 + 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132033, -132035, -132033, -132027, -132017, -132003?\nAnswer: -131985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 206696882 to the power of 1\/2, to the nearest integer?\nAnswer: 14377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -27.1. Let j = 1.1 - s. Let m = -585.6 - -586. Which is the nearest to -1\/3? (a) m (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248.209 - 1163.1.\nAnswer: -914.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5067 - -5117. Solve c*s + 20 = 40*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17521*h**4 + 7*h**3 + 60127 wrt h.\nAnswer: 70084*h**3 + 21*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -143.9244715 to one decimal place.\nAnswer: -143.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/5 - 15*l**3 - 384*l**2\/5 + 6172*l\/5 - 5712\/5 = 0. Calculate l.\nAnswer: -68, -14, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**9\/151200 + y**8\/50400 - y**5\/20 - 2*y**2. Let r(i) be the third derivative of t(i). Factor r(x).\nAnswer: -2*x**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 111\/(-45) - (-584)\/219. Factor x**2 - 8\/5*x - g*x**3 + 4\/5.\nAnswer: -(x - 2)**2*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/120 - 2*u**5\/15 - 5*u**4\/24 - u**3 - 8*u**2. Let j be w(-5). Let x be 42\/j*(0 + -16). Solve -3*k + x = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1917, 2604, 3319, 4074, 4881, 5752?\n\"Answer: 2*d**3 + 2*d**2 + 667*d + 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + -4 - 1*-11. Suppose -3*n = 2*v - 3*v - 9, -g = -4*n. Suppose v = 3*m + 3 - 15, 52020 = -4*t + 5*m. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 8, -56, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87733249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.30888184 rounded to 2 decimal places?\nAnswer: -9.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -89.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-75))\/((-6)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3906*y + 3875*y - 949437 = 0. Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*l + 104*l - 165 = -113*l for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-210)\/(-182) - (-5)\/((-130)\/4). Let h(u) = 2*u - u**2 + 2*u**2 - 2*u**2 - u - o. Let r(j) = 5*j**2 - 2*j + 2. Let f = -3 - -1. Give f*h(b) - r(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -466 - -520. What is the remainder when 149 is divided by q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178073431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 65*p**2 - 201*p + 1235. Give k(5).\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 1. Let x be i(1). Suppose -x = -2*n - 0*n. Suppose n*j - 193 = -7. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-841)\/4 + (-3 - 78\/(-24)). Let x be (-2)\/(-15) - 112\/w. Let r = 0.25 + -0.3. Which is the closest to r? (a) 4\/3 (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 4*s**2 + s - 1. Let m be y(4). Suppose -6*w + g = -3*w - 7, 7 = w + 2*g. Solve 3*v = -p - 4*p, w*p + m*v = 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, d: 1, c: 1, o: 1, p: 4, k: 1}. Give prob of sequence cd.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -615 - -451. Let x = a + 152. Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + 3*(1*sqrt(343) + sqrt(343) + sqrt(343) + -2 + sqrt(343))*-5*-4))**2.\nAnswer: -1666560*sqrt(7) + 79088704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 + -1.7. Sort -0.01, c, -2 in ascending order.\nAnswer: -2, -0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {x: 2, v: 1, f: 2, a: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 18059, 0 in increasing order.\nAnswer: 0, 80, 18059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + 5 + -6 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20217 = -4*g - 5*c - 4463, -3*g - 5*c = -11813. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 42 - 10*f**2 + 73 - 2*f**3 as b*f + d + k*f**3 + o*f**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 105128\/32 - 11\/44.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12063298483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(28))\/sqrt(4) + 0.\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m**2 + 199*m - 202. Determine g(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13563 (base 12) to base 3.\nAnswer: -1100122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(3*p + 2*p - 6*p) + p - 5*p - 4*p - 24*p - 221*p - 143*p - 170*p to w*p + t and give w.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -30234*h**2 + 39*h - 1. Let q(b) = 2*b. Determine r(q(s)).\nAnswer: -120936*s**2 + 78*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1136716 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -17\/2 (b) -2\/343 (c) 0.04 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 3, j: 11, h: 1, t: 3}. Give prob of sequence aq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25617749, 25617742, 25617735?\n\"Answer: -7*q + 25617756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.534 + 14.034. Let q = -8 + 11. Put k, q, -1 in decreasing order.\nAnswer: q, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 52 - 92*a**2 + 92*a**2 - 95 - 298*a**3.\nAnswer: -298*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(6\/120)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let w(v) = -4*v**2 - 6*v - 3445. Let j(k) = -35*k**2 - 53*k - 31004. Let o(r) = 6*j(r) - 53*w(r). Determine o(g(z)).\nAnswer: 2*z**4 - 3439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 31*k - 6. Let x(p) = -p**2 - 30*p + 4. Give 2*g(o) + 3*x(o).\nAnswer: o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9*p**2 - 182*p + 367. What is t(2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 451 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504740909.\nAnswer: 19, 26565311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 2 = -2*y, 121*u - 15 = 116*u - y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j**3 + 2*j**2 + 4*j + 1. Let y be u(-1). Let w be y\/(-3) + 132\/(-22). Let x = 1 + -1. What is the closest to x in w, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5946016, -5946020, -5946012, -5945986, -5945936, -5945856?\nAnswer: -5945740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 10*k - 2. Suppose -13 - 38 = -3*n. Calculate the remainder when n is divided by z(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 88082.18ml?\nAnswer: 88.08218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215\/4 + 54. Sort -0.3, u, -0.1 in ascending order.\nAnswer: -0.3, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -11 - (-14 - (-1 - 61))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25\/30*(-8)\/(-30)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 515 and (-19)\/(-2) + ((-272)\/(-32) - 9)?\nAnswer: 4635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 11*w + 32433. List the prime factors of z(0).\nAnswer: 3, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147.900877 + 147.9. What is p rounded to five decimal places?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 5\/6, 3, -57.6, 28 in decreasing order.\nAnswer: 28, 5, 4, 3, 5\/6, -57.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 23, 18, -1, -40, -105, -202, -337?\n\"Answer: -i**3 + 2*i**2 + 4*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -66.\nAnswer: -10\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/12)\/(-5*(-4)\/(-12))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/2818?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 5. Solve p*q = 3*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/25)*j*j**(1\/7) assuming j is positive.\nAnswer: j**(214\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 0\/2)\/2. Let x(a) = -144*a - 5 + 5 + 143*a. Let s(f) = 4*f**2 + 20*f + 16. Let b(t) = z*s(t) - 4*x(t). Factor b(y).\nAnswer: -4*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 3*d - 1, -5*w = -5*d + 10. Suppose 7*n = 10*n + q - 8, 0 = d*n - q - 2. Solve 3*o - 15 = n*z + z, 2*z + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96*((-2)\/(-5) + (-4)\/(-15)). Let y(a) = -i*a**2 - 60*a**2 + 121*a**2. Let w(u) = 4*u. What is w(y(o))?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/434 and 5\/3766.\nAnswer: 116746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113111 - 3323?\nAnswer: -123100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -6768.\nAnswer: -6767.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 373414 = 12262. Suppose -m - 64794 = -30*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -8\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3281 + -531. What are the prime factors of q?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i)**(-37) assuming i is positive.\nAnswer: i**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l - 352 = -4*u, -2*l = -2*u - 334. Let h(y) = 11*y - 6. What is the remainder when h(8) is divided by l\/8 - ((-3)\/(-12) - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2876139 to two decimal places.\nAnswer: 2.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1426, 3\/4, -0.2 in decreasing order.\nAnswer: 3\/4, -0.2, -1426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004598 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*o - p - 3, -5*o + 10 = -2*p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91471959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 16926*x + 102 - 142 in the form q + c*x and give c.\nAnswer: 16926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(396) + -3 + 0 + (sqrt(396) - (sqrt(396)*-3 + sqrt(396))) + sqrt(396))**2*-6 + -5)*-5.\nAnswer: -5400*sqrt(11) + 297290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 125 = 5*h, -h - n + 51 = h. Calculate the least common multiple of 84 and h.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3156.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -44. Let j = -14 - 5. Put j, a, -0.1 in increasing order.\nAnswer: j, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*t = 32, -3*t = 3*p + 2*t + 5. Suppose 3*m = 3*y + p*m - 21, -5*y - 5*m + 30 = 0. What is the smallest common multiple of y and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1058, 505, -424, -1735, -3434?\nAnswer: -5527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 - 46. Let n = 8 - 5. Is k equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211514 is divided by 41841.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/18)\/(-1))\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 5)*(9 + 6*s - 9)*(-6 + 3*s - 6*s + 2*s).\nAnswer: -60*s**2 - 360*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 2, e: 1, w: 1}. Give prob of sequence wdr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.186 to two dps.\nAnswer: -1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*u = 10 + 8, 0 = a - u - 14. Suppose 2*f = a - 2. Let v = -0.168 + -0.032. Put 3, f, v in decreasing order.\nAnswer: f, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -145 - (-58 - (-87 - -115))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/((sqrt(120)\/sqrt(3))\/sqrt(8)) + 1*sqrt(2736) + sqrt(209)\/(2*sqrt(11)))**2.\nAnswer: 13851\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19950 and 8059800?\nAnswer: 8059800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 36.7. Let h = -0.7 + v. Suppose 4*o = 2 - 6. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2))**40\/(v**(2\/3)*v**3\/v)*(v**(1\/5)\/(v*v\/(((v\/(v\/((v**(-5\/6)\/v)\/v)))\/v)\/v)*v))\/(v**(-4\/9)*v\/v**(1\/4)) assuming v is positive.\nAnswer: v**(1691\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14777?\nAnswer: 7, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 divided by -573?\nAnswer: 694\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 2*t + 4*q + 448, -4*t = 5*q + 617. Let f = -90 - t. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42*t - 397*t - 133*t)*(5 - 1 - 3)*(0 + 0 - 3*t) + 4*t**2 - 5*t**2 + 2*t**2 in the form o*t + l + h*t**2 and give h.\nAnswer: 1717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120021202 - 1001?\nAnswer: -120022203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -g + 861, 8*g - 4*g + 2*k - 3434 = 0. Let x = g - 548. Suppose 21*o = -o + x. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 2*o + 2, 4*o - 2*s + 3961 = 3977 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + -4 - sqrt(2)) + 5.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*j - 20 = 0, -c - 3*j - 2*j = -25. Solve c = 4*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 + m + 8. Let n be q(-8). Suppose 6*c - 3*c - 24 = n. Let u = 5 + -1. Solve -c = -u*k + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dd (base 15) to base 11.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/6, -6, 16625, 1\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6319*j**3 - 6*j**2 + 70*j + 5888561?\nAnswer: -18957*j**2 - 12*j + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2509186595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 266917052 and 164583.\nAnswer: 2402253468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**3 + o. Let d be c(1). Let u(i) = i - 2*i**2 + 1 - 2*i**3 + i**3 + 8*i**2. What is u(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 5. Let s = 9 + l. Let u = 5.5 - s. Which is the third smallest value? (a) u (b) -0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one halves of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 - 260545*b**2\/2 + 67883697025*b\/4.\nAnswer: b*(b - 260545)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Suppose 6*n = n - y, -4*y = j*n. Suppose -15 = -5*i - n*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14 + 8 + 2*d + 12 + 1. Let m(u) = 2*u**2 - 31*u + 9. Let i be m(15). What is b(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 26*f - 12 = 0, -3*u = -3*f - 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13818)\/1568 - (-18 + (-130)\/(-10) - 4).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 19 - (-16 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*40\/((-128)\/(-16))*58*(-2)\/10.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77158 and 2422?\nAnswer: 540106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*p**2 - 1937*p**5 + 1938*p**5 - 69*p**2)*(-1 + 7 - 3).\nAnswer: 3*p**5 - 417*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 21 + 44)*(3*p - p - p) - p + 0*p + 3*p - 2*p + 0*p + 5*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26708 and 4466.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/(-6) + -1)*(-120)\/40. Solve 2*z + 25 = 5*y, d*z + 3*y - 15 = 12*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3)*f*f*f*f\/(f*f*f**(2\/27))*f**5\/(f\/(f*(f**(2\/3)*f*f)\/f)) assuming f is positive.\nAnswer: f**(178\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*y = -203*y - 1470 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18386?\nAnswer: 2, 29, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*g + 28*g - 54*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 29*g**3 - g**2 + g + 1. Let o be z(-1). Let s be (0 - -1)*(45 + -1). Let r = o + s. What is the greatest common divisor of r and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -21*o**3 - 7*o**2 - 11*o - 31. Is 80 a factor of i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3681 rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*z + z + z + z - 4 + 4 + (4 - 3 + 1)*(4 - 4 + z) + z - 2*z + 3*z + 3*z + z + 0*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 77, 5, 12\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4906?\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/14 + (-918)\/108?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s - 19. Let h(n) = -119*n - 120*n - 121*n + 1 - 124*n + 483*n. Determine -g(v) - 3*h(v).\nAnswer: v + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159*f**2*v**3 - 3*f**2*v - 38*f*v**2 + 8*f*v - 14029*v**4 + 884*v**2 wrt v?\nAnswer: -954*f**2 - 336696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80241961 is divided by 7814?\nAnswer: 7809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 448, 3, 5117 in descending order.\nAnswer: 5117, 448, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.638904 - 59423.\nAnswer: -59421.361096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 1. Let d(z) = 7*z + 4. Let l(m) = -d(m) + 5*q(m). Let s(f) = 16*f + 4. Determine -11*l(k) + 2*s(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i. Let k be w(-1). Suppose -2*s + 6*s + 40 = k. Let d = -8 - s. Solve 0*j + 30 = -5*j + 5*n, 4*n = -d*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3213702 is divided by 3213667.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 31 = 2. Let c(u) be the third derivative of -u**5\/60 - 7*u**4\/12 + u**3 - 28*u**2. What is the remainder when 75 is divided by c(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (1*sqrt(99) - sqrt(99)))\/sqrt(3))\/(-2*sqrt(12)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 - 5*m + 5. Let i(c) = -7*c**2 + 5*c - 6. Let y(q) = 6*g(q) + 5*i(q). Calculate y(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1708 and 6344.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/z*z)**(1\/8)\/((((z*z**(3\/4)*z)\/z)\/z*z)\/(z**(1\/3)*z)) assuming z is positive.\nAnswer: z**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 25. Let v be (r\/(-10))\/(9\/(-30)). Let x = -0.09 - -5.09. What is the smallest value in 4, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -1907.154\nAnswer: 7628.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20135573\/8 + 2513635. Let x = 3301 + y. Find the common denominator of (6\/32)\/((-9)\/138) and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1378*j + 1851*j + 385931 - 140527 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127729 and -12.\nAnswer: -127741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.8209 to 0 decimal places.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q. Let y(l) = -l + 1. Let a(g) = g**2 - 4*g - 7. Let w be a(5). Give w*c(z) + y(z).\nAnswer: -2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p - 9. Suppose b + 21 = 4*b + 3*h, -2*b + h + 11 = 0. Let s(z) = -4*z - 4. Determine b*n(k) - 13*s(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-440)\/(-669) - (618 + -615)\/(9\/(-2))?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2297*g + 9. Let a be ((-20)\/(-5))\/(0 + 1). Is k(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 149 (c) 1\/5 (d) -159 (e) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**6\/70 + 3*g**5\/140 + 5*g**4\/14 + 4*g**3\/7 - 2*g - 7. Factor p(f).\nAnswer: -3*f*(f - 4)*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4495, -4.35.\nAnswer: -4495, -4.35, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8)*-6 + 5. Let a be 6 + y + 2 + 1. Let i(p) = p**3 - 12*p**2 + 12*p + 8. Is i(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 4*r + 12, -10 = i - 5*r + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 2432 = -10452. Let x = f - 801. Solve -5*a + 4*a = -x, 5*s + 20 = -5*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5956841 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -100*m**2 + 101*m + 199. Determine g(-2).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23344 is divided by 7708.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61*j**4 - 61*j**4 - 13*j**2 - 24*j**5 wrt j?\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*a - 3*a. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51537 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 6, m: 2, c: 1, b: 4}. What is prob of picking 3 u and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122.6 - 122.5999992929. What is n rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from ggggkwkkgww?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 533816374 smaller than 533816373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1360?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:06 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5441035.7 - -0.043.\nAnswer: -5441035.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677*p + 701*p = 31848. Calculate the remainder when p is divided by 111.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 30247886*d. Let j(i) = -4*i. Give r(j(o)).\nAnswer: -120991544*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 3*l + 4. Let m be s(2). Let x = m + -30. Let p = x - -34. Calculate the remainder when p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/3 (c) -2\/7 (d) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7997986, -7997998, -7998010, -7998022, -7998034, -7998046?\n\"Answer: -12*m - 7997974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 39*c**2 - 37*c + 35. Give g(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8706, 8300, 7894?\n\"Answer: -406*f + 9112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34618.\nAnswer: 2, 19, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4895 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5252445 a multiple of 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 35285741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -955 and -0.5.\nAnswer: 477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -14*l**2\/3 - 1492*l\/9 - 6410\/9 = 0.\nAnswer: -641\/21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdtdtxtdtdreetart. Give prob of sequence ex.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(544))\/sqrt(2).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 228 and 8272.\nAnswer: 471504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (26 + -12 + -4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 11. Suppose -4*y = 9 + 15. Let j = y + 16. What is the least common multiple of n(5) and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 26. Suppose -327 = -4*x + 7*x. Let z = x - -253. Calculate the highest common divisor of o and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 + 245 + (1 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4\/2 + 31224*u**3 + 31221*u**2 - 31224*u - 62445\/2 = 0. What is u?\nAnswer: -20815, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = 1. Let u(v) be the second derivative of 293*v**3\/6 - 31*v + 1. Is u(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 f when three letters picked without replacement from ftttftfttfffttftfft?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 2, s: 3, w: 2, v: 5}. What is prob of picking 1 v and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 68*s + 236. Calculate i(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 288 + -286. Solve 14*v - 12 = j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64953*o**2*r**2 + 56*o**2 + 2*o*r**2 + 18*o*r + 35*o - 322*r wrt o?\nAnswer: 129906*r**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - 4.8. Let h = v + 5.439. Round h to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 109 - 55 + 182*g**4 + 110 wrt g.\nAnswer: 728*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001795549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/9, 2\/5, 4, 0.1, -0.07 in increasing order.\nAnswer: -0.07, 0.1, 2\/5, 7\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, 0.1, 0.5, 207?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-6))\/((-4)\/8). Let a be 18\/2 - y\/5. Solve 4*v - a = -28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g + 4 = 33*g, 0*m + 17 = -6*m + 5*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(1\/2)))\/p)\/p**(-3\/4) assuming p is positive.\nAnswer: p**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608 + 4161 + 11*l**2 - 14*l**2 + 450.\nAnswer: -3*l**2 + 4003","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 16*r**2 + 14*r + 20. Let f be (2 + 8)\/(-4*4\/(-24)). Let s be m(f). Solve -2*k + 9 = 5*q, -4*k - 6 = -3*q + s*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 20342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -419 = -9*c - 14. Let n be 5\/2*-4*(-63)\/c. What is the tens digit of 1892\/n - (-10)\/(-70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 33. Suppose -130 = -0*a - y*a. Let u = a + -25. Solve -3 = s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/55 (b) 0.15 (c) -21 (d) -4\/3 (e) 1\/4 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.147 + -0.053. What is the closest to -2 in 8, 2\/7, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -53*d - 61. Let u be h(-6). Let k(a) = u*a - 129*a - 129*a. Let m(z) = -68*z**2. Give m(k(s)).\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-2)\/3*(-3)\/(-1)). Put m, 2, 0 in increasing order.\nAnswer: 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21719 by -132.\nAnswer: -21719\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513 = -o - 5*y + 957, y + 3 = 0. Is o a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1920 and 10149690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 997 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 3*i**4\/4 - 37*i. Let y(q) = 2*q. Determine m(y(p)).\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 268740.\nAnswer: 2956140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + p - 3. Let a be ((-1)\/8*82 - 0)*4. Let s = a + 41. Let c be j(s). Let n(k) = k**2 + k - 3. What is n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -7, 0.2, 3\/7, -0.03 in ascending order.\nAnswer: -7, -0.03, 0.2, 3\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(5 + -13 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 43 (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16.673892+346\nAnswer: 329.326108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38690388 divided by -3.\nAnswer: 12896796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24538841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/45 - (-10 + 3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 458207163*z**2 - 198359466*z.\nAnswer: 916414326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.11 (c) 2\/3 (d) 0.03 (e) 0.1 (f) 17 (g) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -110202000 to the nearest 1000000.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/((3038\/62)\/(-441))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 divided by 4?\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c - 13. Let q be y(-2). Suppose 0 = q*f + 5*w - 2*w - 17, -5*f = -3*w - 23. Which is bigger: f or 64\/13?\nAnswer: 64\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 6\/5*x**4 - 65 + 96\/5*x**2 - 104\/15*x**3 - 2\/25*x**5 - 128\/5*x. Find m, given that v(m) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 24, 29, 36, 45, 56, 69?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1 + 4)*-2. Suppose -3*m = -b*m - 2. Suppose 2*f - 308 = -m*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2379651 (base 10) to base 12.\nAnswer: 969143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 18. Let v(o) be the first derivative of -5*o - 1\/4*o**4 + 8\/3*o**3 + 9\/2*o**2 - 40. Give v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j + 9. Let y = 3 - j. Solve y = -f - 2, f + 18 = 2*k + 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30784 divided by 3?\nAnswer: 30784\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, 52, 8.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-1)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6162 by 474.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.1 (b) 2\/3 (c) -2348\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let k(i) = -2*i**2 + 5*i**g + 11 - 4*i**2. List the prime factors of k(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168175041.\nAnswer: 3, 56058347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*x + 2 - 2 - 1 + x**3)*(0*x - 5 - 4*x + 10) to the form s*x**2 + m*x**4 + n*x**3 + g*x + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-1058)\/(-391))\/((-5)\/2). Let m = 0 - 0.2. Which is the nearest to -3? (a) o (b) m (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100010100100011111 (base 2) to base 14.\nAnswer: -1a22bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 58 (c) -1\/4 (d) 3 (e) 653 (f) -1 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 78616704?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*d - 2*d - 61, 115 = -5*n + 5*d. Let i = -11 - n. What is the least common multiple of i and 47?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 20 - 10*r + 0*r - 20. Let w(m) = -2*m. Let h be w(-3). Let u(g) = 0*g + 0*g + 2*g - h*g. Determine u(y(b)).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05587 + -42.05587. Is b greater than or equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {l: 1, a: 1, k: 1, d: 1, w: 1, h: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 6) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 20\/11 (b) -2.32 (c) -5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(4 + 0 - 5). Suppose i + 20 = -u - 4, -u - z*i - 29 = 0. Let v = u + -61. What is v rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2565*h**3*w**4 - 15454851*h**3*w + h**3 - 3408*w**3 wrt w?\nAnswer: -30780*h**3*w**2 - 20448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3683*f + 3683*f + 4*f**2 - 1225*f**3)*(2*f**2 - 3*f**2 + 0*f**2).\nAnswer: 1225*f**5 - 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 9*h - 21 = 0. Suppose 5 = -h*b - 2. Suppose 14 = -5*u - 1. Is b <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus -2158034227?\nAnswer: 2158034227.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 times -5.797?\nAnswer: -25.5068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.7 = -21.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.79805 + 0.8. Round w to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*h + 22 = -16, 4*h = -20. Let j be ((-11)\/1)\/(-1) + 1. What is the highest common factor of t and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from {w: 4, m: 9, l: 4}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 793342461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 87*m - 131. Let w be d(42). Let n(k) = 3*k**2 + 7*k - 2. Let a(b) = -4*b**2 - 8*b + 3. Determine w*n(s) - 4*a(s).\nAnswer: s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*o**4 + 41*o**3 + o**2 - 1077*o - 4 wrt o?\nAnswer: -168*o**2 + 246*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-m**2 - m**2 + 0*m**2) + 10*m**2 + 2*m**2 + 13*m**2 + 2*m**2 + m**2 - 5*m**2.\nAnswer: 19*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.90421 nanometers in micrometers?\nAnswer: 0.09890421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 138*q**2 + 442*q + 870. Calculate u(-2).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 21818*v - 2. Let i be p(-11). Round i to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -168, -300, -442, -600, -780?\n\"Answer: -s**3 + s**2 - 128*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -293, -536, -779, -1022?\n\"Answer: -243*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:19 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3676100628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*l - 616 = -91*l + 792 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*x = x + 14, 0 = -5*s + 3*x + 24. Calculate the remainder when 33 + (35\/10 - (-10)\/(160\/(-24))) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + b = -13, -v + 5*b - 25 = -6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 4. Suppose 2*u + 5*u - 749 = -637. Solve -8 = -0*j - 3*j + 2*m, -i*j + u = -2*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 7 = 2*h, -4*h + 6566*k = 6564*k + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147594 divided by 3.\nAnswer: 49198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4126118158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -21*o - 13. Suppose 0 = 2*a - 4*t + 30, 0 = -3*t - t + 16. Is w(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 18*u**2 - 17*u. Let w be m(17). Let g be (-4)\/(-6) + 16\/3. Suppose 0 = -w*t - 3*t + g. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 c when three letters picked without replacement from ceeceeeeeceeee.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40494 divided by 51?\nAnswer: -794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-7) + 1 - 2\/7. Let u be ((-10)\/(-4) + w)*(-8)\/(-18). Which is smaller: u or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1)**(5\/7)\/(x**1)**(4\/3) assuming x is positive.\nAnswer: x**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-176)\/1672)\/(28\/(-152))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 10) to base 2.\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.4, -44.8, 0.2, -2\/3?\nAnswer: -44.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 11*b**3 - 2*b**2 + b. Let s(o) be the first derivative of -o**2 + 2. Calculate the remainder when n(1) is divided by s(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 7. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 33, -0.78 in increasing order.\nAnswer: -0.78, 1.4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 10. Give w(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11513.25 milliseconds to hours.\nAnswer: 0.003198125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 499673 + 5.\nAnswer: 499678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 2. Let f be v(-2). Let j(i) = i + 8. Let s be j(f). Suppose 5*d - 2 = 4*b, 5*b + 0*d - 4 = 3*d. What is the greatest common divisor of b and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -0.2839\nAnswer: 1.2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**7\/105 + 3*w**6\/40 + 43*w**4\/12 + w**3\/6 + 4*w**2 + 2*w. Find the second derivative of f(g) wrt g.\nAnswer: 24*g**2 + 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -627 - -1499. List the prime factors of g.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146510059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**5 + 145*k**3 + k**2 + 11401*k?\nAnswer: 80*k**3 + 870*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 0 + sqrt(2448) - (sqrt(2448) + sqrt(2448) + -1)*-5) + 2 + (sqrt(17) - (sqrt(17) + -3 + 0) - sqrt(17))*-6)**2.\nAnswer: -7176*sqrt(17) + 324424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -8*t + 5*t. Suppose 3*q = -t + 112. Solve q*v + 11 = 3*r, 0 = -4*r - r + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104675 is divided by 429.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -0.052.\nAnswer: -0.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -32*t + 20*t**2 - 11*t - 11*t**2 + 8. Does 16 divide n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -13. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/270*-3)\/(12\/(-15)). Which is the closest to 2\/11? (a) -0.1 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c82a + -1?\nAnswer: 3c829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4)\/(732\/427)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 909\/12 - 15934\/2056.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 1 + 1)*(-2 + 2 - 2)*(467*x**3 - 233*x**3 - 235*x**3 - 42*x**2).\nAnswer: 2*x**4 + 84*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - v + 5 + (2 + 1 + 0)*(6*v - 2*v + 3*v) - 2*v + 4*v - 3*v.\nAnswer: 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 14*m - 11. Let t be a(11). Suppose t - 2 = 5*c. What is the highest common divisor of 12 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2 + 4*n + 7*n - 2*n. Let o be (24\/(-68))\/(363\/2057). Determine f(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184872 or -184882?\nAnswer: -184872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 12:38 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2952893*c*o**3 - 4*c*o**2 - 1026*c*o + 2*c - 5*o**2 + 2 wrt o?\nAnswer: 17717358*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/4)*c**(-2\/3)*c)**(-1\/21))**33)**(7\/8) assuming c is positive.\nAnswer: c**(-11\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 58 (b) 170 (c) -3 (d) -1 (e) -1\/3 (f) 31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6 + 3)\/((-5634)\/23788) + 9.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288) + sqrt(288))*-3.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8250 and 116244150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101365767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14*i**2 - 29*i - 7. Let x(s) = 5*s**2 + 10*s + 2. Let d(o) = -3*h(o) - 8*x(o). Let a be d(-6). Suppose a = k + 8. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/7 - 16*a**4\/7 + 26*a**3\/7 - 12*a**2\/7.\nAnswer: 2*a**2*(a - 6)*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(17) + 1*sqrt(17))*6) + 2*sqrt(17)*-1 + 1.\nAnswer: -13*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4e (base 16) to base 5\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:47 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let n(g) = -g**2 - g + 30. Let o be n(q). Suppose 7*m = 2*m + o. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.74 - 0.24. Which is the second biggest value? (a) 3 (b) -7 (c) u (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.838 - -0.83794719. What is u rounded to six decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 15*a + 7. What is the remainder when n(15) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14716*c*f**3 + 9166*c*f**2 wrt f.\nAnswer: -88296*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 27798143500.43.\nAnswer: 27798143504.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -43. Suppose -2*r + 10 = o, -2*o + 4*r - 2 - 2 = v. Let m(j) = -4*j - 3 - 2 + 7*j. Determine m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38977979 = 105*b - 38980079 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551761.\nAnswer: 7, 78823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6*1 + -2)\/(-2). Suppose -6 - m = -5*h. Factor -2\/7*c**4 + 0*c**3 + 0 + 0*c + 2\/7*c**h.\nAnswer: -2*c**2*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 9*w + 26. Let v be ((-132)\/88)\/(2\/(-4)). Calculate the remainder when 46 is divided by b(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1809 + 6*s - 3467 + 5276.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:58 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 43. Suppose -6 = d*a - 5*l - 34, -l = 4. Find the third derivative of -4*k**3 + 6*k**a + 47*k**3 - 26*k**3 wrt k.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 77. Is -7 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -20)*1 - -3. Suppose 2*u - 6*u = 4*i - a, -3*u - 7 = -2*i. Let j be 1*(4\/(-2) - -2) + 3. Solve b + 6 = -m, -i*b + j*b - 5*m - 18 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438\/(-292)*(0 + 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -147*w**2 - 8*w + 5. Let g(z) = -736*z**2 - 45*z + 25. Determine 11*c(l) - 2*g(l).\nAnswer: -145*l**2 + 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 19 = -22*n. What is the closest to n in 4, -7\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t**3 + 8*t**2 + 62*t - 44. Let s be d(27). Is s\/(-87)*6\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2252 is divided by 1047.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 15660*y**3 + 18556050*y**2 + 4907452500*y + 294611671875.\nAnswer: 3*(y - 2725)**2*(y + 115)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 (base 9) in base 13?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 273840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*c + 6677 + 12171, -2*m + 3*c + 37696 = 0. What are the prime factors of m?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l + 1. Let i(k) = 10*k + 5. Let n(p) = -5*b(p) + i(p). Let f(c) = -2*c**2. What is n(f(y))?\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*q + 36 = 0, 2*i - q = -2*q + 16. Solve 3 - i = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1724740141.\nAnswer: 2459, 701399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**2 + 8*t**2 - 3 - 2*t**4 - 4*t + 3*t**2 + 4*t**3 - 3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 10989?\nAnswer: 1098a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1310, -9401, -31378, -74183, -144758, -250045?\nAnswer: -396986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3130 - -3151. Solve -18*z - 6 = -w*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52926738 to the nearest integer?\nAnswer: 7275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -788*b - 7896. Determine v(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9 = 2*n - 39, -3*n = -p + 13. Suppose 2*u = 9 + 5. Calculate the remainder when 48 is divided by -5*((-364)\/p)\/u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -1.4?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-50))\/((-296)\/185).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b**3 - b**2 + b + 3. What is the tens digit of u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14152426*b*o**4 - 133561*b*o + 57*o**2 wrt o?\nAnswer: 339658224*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d**2 - 3145*d + 24147. Give t(-322).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 29*n**5 + 9*n**3 - 11*n + 9. Let k(c) = -7*c**5 - 2*c**3 + 3*c - 2. Let d(y) = 18*k(y) + 4*s(y). Find the second derivative of d(x) wrt x.\nAnswer: -200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:41 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (7 + 3)) + 3 - (-6 + -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 + -0.1. Let o = 74.92 - 75. Let y = o + -1.92. Put b, y, 0.2 in increasing order.\nAnswer: y, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/6 + 2011999*w\/6.\nAnswer: w*(w + 2011999)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/19 + 1224*p**2\/19 + 2440*p\/19 = 0. Calculate p.\nAnswer: -610, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/239, -1\/3, -2 in increasing order.\nAnswer: -2, -1\/3, -2\/239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 915007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - 10*s**2 + 4*s - 16. Let b be a(5). Let p(n) = 0*n**3 - 2*n**2 + n**3 + 5 - 5 - 5*n. Calculate p(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 4067345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*s - 4*s + 4*s)*(-8417 - 10689 - 7316) to t + q*s and give q.\nAnswer: 52844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*1140\/48*2\/(-15) and -103\/220?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 + 6730 = 23*y. Which is bigger: 273 or y?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4994 divided by -2?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 1\/6*n**4 + 52*n**2 - 1\/672*n**8 - 1\/120*n**5 + 0*n - 7\/240*n**6 - 1\/3*n**3 + 0 + 1\/84*n**7. Suppose j(u) = 0. What is u?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116811 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/9*33\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0*h**3 + 7 + 6*h**2 + 0*h**2 + 0 + 6*h - 2*h**3. Let d be w(5). Let a = d - -563\/9. What is the third biggest value in -0.2, a, 3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2237 is divided by 203.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -265, -480, -697, -916, -1137?\n\"Answer: -a**2 - 212*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*p - 4, -3*s = 5*p - 2 + 1. What is the remainder when s\/(-13) + 4018\/91 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1203?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7119 = -4*d - 7075 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 5, 2, -194 in ascending order.\nAnswer: -194, -81, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (0 + 2 + 21)) + -18 + 29?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2 + 5*m**2 + 2*m**3 - m**3 + 2*m + 0*m**3. Let h be ((-9)\/(-6))\/((-3)\/8). Calculate v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10752434 to the nearest integer?\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 16. Suppose -185 + 265 = -4*m. Calculate k(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 517.\nAnswer: -361.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((-5 + sqrt(1377) + 1 - (4 + sqrt(1377) + -1)) + 1 - 6*(-1*sqrt(1377) + -4)*1)**2.\nAnswer: 46656*sqrt(17) + 1197504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4312, -4315, -4320, -4327, -4336, -4347?\nAnswer: -4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b. Let l be b - (0 - 6)*1. What is the highest common divisor of 48 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708362 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(17\/(-170)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -352.5 and -5.8.\nAnswer: 2044.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -244 + 244. Suppose c = -2*i - 7*z + 4*z + 755, 756 = 2*i + 2*z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innininnnnnnnn. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 4*o - 270. Let h = -45 - o. Let j(y) = -y**3 - 44*y**2 - 84*y + 1. Let u be j(-42). Solve b = -h*b - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n*n**3))\/(((n\/((n*(n*n\/n**(-2\/23))\/n)\/n))\/n*n)\/n))**34)**(-4\/13) assuming n is positive.\nAnswer: n**(2856\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**9*i)\/i)\/(i*i**(2\/5))*((i\/(i\/i**(2\/3)))\/i)**(8\/13))\/((i**(-4)\/(i\/i**(8\/5)*i))\/(i**(-3\/10)\/(i*i\/(i\/(i\/(i\/i**(-6))))))) assuming i is positive.\nAnswer: i**(6433\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122 (base 7) to base 15.\nAnswer: c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 514 - 515. Let z(y) = -y. Suppose 0 = 2*m + 2*m. Let g(n) = -3*n**3 + 2*n**3 + m*n**3 - 2*n**3 - 9*n. Calculate l*g(h) + 9*z(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(35\/(-30) - 12\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**3 + 36*o**2 + 82*o + 75. Let h be x(34). Suppose -h = -3*n + 4*t + 18109, n - 3*t = 47072. Round n to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.369 - -0.39. Let s = -2690 + 2690.02055. Let m = z - s. Round m to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42\/29335 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068\/13 less than or equal to -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-3)*k**(2\/3)*k)\/(((k**1\/k)\/k)\/k**5) assuming k is positive.\nAnswer: k**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u + 170 = 47*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 2. Let j be q(0). Let v(k) = 7*k**2 + k**3 + 6 - k + 10*k**j - 12*k**2. List the prime factors of v(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 208*a**2 + 68*a + 224*a**2 + 228*a**2 - 662*a**2 - 189. What is n(31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 179764*o - 3415877.\nAnswer: (o - 19)*(o + 179783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4204, -25, -3 in increasing order.\nAnswer: -25, -3, -1, 4204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + sqrt(80) + (sqrt(80) + -1)**2 + -5 + -5 + ((sqrt(80) + 0)*-6*-4)**2)*4*4.\nAnswer: 738416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 556.345?\nAnswer: -551.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12556 - 32*v**3 - 25309 + 12753.\nAnswer: -32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/782?\nAnswer: -1\/782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161040 and 7684536.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*i*k*y**3 - 7*i*k*y - 88*i*y**3 - 49*i*y + k*y + 382*k + 629*y**3 + 3 wrt y.\nAnswer: -174*i*k*y - 528*i*y + 3774*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.53 + 9.2. Let h = -1.33 - j. What is the closest to -1 in 2, h, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*u - 789*u - 85 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*o - 68, -18211 + 18381 = -20*j - 6*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 24340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = -7. Suppose -5*o - 2*u = -54 - 19, -o = -4*u + x. What is the highest common factor of 117 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30 or 59\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3414*r - 3410*r = -b - 58, 0 = 4*r - 12 + 72. Determine o so that 26\/3*o**4 - 2\/3*o**3 + 0 - 2*o + 8\/3*o**5 - 26\/3*o**b = 0.\nAnswer: -3, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 8:34 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**3\/3 - 2*d**2 + 11*d - 3. Calculate o(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -128\/3. Let z = -231 - -237. Let q be (-16)\/48*z\/8. Is q at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (7 - 12)) + -23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = 4*i - 8*i. What is the units digit of (-48)\/(-14)*i\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.384 rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 u when three letters picked without replacement from {i: 2, b: 4, u: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 1055*l - 62204. What is g(-56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = 4*s + 4, -3*s + 25 = -2*b. Let k = b + 14. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15405289441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469975 - p - 469975.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*s**3 + 0*s**2 + 0*s**2 + 0*s**2 - 256*s**3.\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40883 + -13159. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2808 + 2052 - 1244 = 113*f. Let x(t) = 120*t**2 + 32*t - 32. Let l(n) = -11*n**2 - 3*n + 3. Calculate f*l(k) + 3*x(k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -74.4. Let q = -0.3 + -0.2. Which is the closest to -1? (a) y (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47746494.\nAnswer: 2, 3, 79, 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003004 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -5*m**2\/2 + 15. Let z(g) be the first derivative of 11*g**3\/3 - 3. Give z(w(a)).\nAnswer: 275*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(468) + sqrt(468) + -1 + sqrt(468))*5 + 2 + -1 + sqrt(1573) + sqrt(1573) + (-3 + (sqrt(1573) - (sqrt(1573) + 1) - sqrt(1573)))**2.\nAnswer: 1560 + 650*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-20)\/(-18)*-6. Let g = -11 + p. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-21)*((-55)\/30)\/11.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -0.4, 522, 0.4, -0.192, -2\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 6 + -6 - -14 - (-22 - -14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 12*y - 5. Calculate the remainder when 404 is divided by b(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -772 - -855. Suppose -4*z + 0*z + 12 = 0. Calculate the remainder when q is divided by 3\/z + (5 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 57 = -3*v, -5*v = l - 0*l + 88. Let q = v + 13. Let a = -0.08 - 0.02. What is the nearest to a in -2\/9, 3, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4910.\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-4))\/(-2 - -1). Let o = 4 - d. Let q be 4\/(-18) + (-10)\/(-45). Sort q, o, 0.1 in decreasing order.\nAnswer: o, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968634*30.\nAnswer: 29059020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -b4b825?\nAnswer: b4b828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s**3 + 5. Let l(x) = x**3 - 1. Suppose 5*i - 15 = 0, 6*i - 20 = 5*u + i. Give u*a(f) - 3*l(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2582 divided by -1274.\nAnswer: 1291\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15 = -q, -3*q - 10*m + 6*m = -7. Suppose 0 = -3*a + 7*a - 2*o - 90, 120 = 5*a + q*o. Sort -1, 5, a in descending order.\nAnswer: a, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11601 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: Suppose 2*c - 3*g - 27 = -c, -4*c + 40 = -5*g. What is the remainder when (-58)\/(-7) - 2\/7 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/712920 and 73\/104?\nAnswer: 712920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -674, -1009, -1344?\nAnswer: -1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-286)\/(-77))\/(26\/(-637)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(-2\/7))\/g)**(1\/3)*g**(-1\/15)*g*g\/(g\/(g**6*g*g)*g))\/((g**2)**46\/(g**8\/g**(-2\/11))) assuming g is positive.\nAnswer: g**(-29124\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j + 48. Let w(m) = 11*m + 51. Let y(l) = -6*c(l) + 5*w(l). Let f(z) = -7*z - 2. Calculate the remainder when f(-5) is divided by y(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -5, 2843, 4 in ascending order.\nAnswer: -5, -4, -2, 4, 2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 6 + 3*g**2)*(-32*g**2 - g**2 - 22*g**2) + 5*g**3 - g**4 - 5*g**3 as p*g + x*g**3 + y + k*g**4 + a*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 84\/39 + (89\/13 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, 93, 243, 445, 693?\n\"Answer: -k**3 + 35*k**2 - 6*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2 - 37*d + 33. Let z be i(-10). Sort -8, z, -4, 5 in increasing order.\nAnswer: -8, -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((5\/2)\/(-5)). Let c be 6*k\/9*-3. Suppose -c*p + 7 = -5*x, -2*p + 0*p + 21 = x. What is the highest common factor of p and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980250058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17254366*j**4 + 12465450*j wrt j?\nAnswer: 207052392*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 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 4*i**2 - 3267224*i + 667172041636 = 0. Calculate i.\nAnswer: 408403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 63. List the prime factors of (5*n + -2)*-1.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50427739.\nAnswer: 607, 83077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.7707 and -73.27811.\nAnswer: -70.50741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (0 - (-10 - (2 + 2 + -4)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-299)\/(-78))\/23 + 23\/6. Solve -38*u - c = -36*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-9)*9\/(-3). Solve w - k = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**4 - 8*o**4 + 11*o**4)*(-2*o + o + 0*o) - 3*o**2 + 3*o**2 - 2*o**5.\nAnswer: -13*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-4) - -5 - 350. Let p = m + 992. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*g + 101, 2*v + 65 + 39 = 2*g. Suppose -218 - 181 = -21*a. What is the remainder when g is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1986 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*z + 18, z - 6*z = -3*c - 24. Suppose d = -4*p + 56, 0*p - z*p + 43 = d. Suppose -p = -3*i + 101. What are the prime factors of i?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 2:32 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217446 and -37.\nAnswer: 8045502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-81))\/(1\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123.49 - 3.29. Let q = 114.79 - b. Round q to 1 decimal place.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 284, 301, 336, 395?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238062.\nAnswer: 2, 3, 11, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 - 4*l**2 + 0 + 5 + l - 2*l**3. Suppose 10*s = 111 - 21. Let d(n) = -4*n**3 - 9*n**2 + 2*n + 9. What is s*v(j) - 4*d(j)?\nAnswer: -2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 11:08 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3188*i - 201809 = -64725 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885053.\nAnswer: 13, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 2*i - 3*i)*(-108*i + 19*i**4 + 108*i).\nAnswer: 38*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -a2932 (base 11) to base 2\nAnswer: -100100101010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/11, -16, -687, -1 in ascending order.\nAnswer: -687, -16, -3, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.918325 less than 26066.09?\nAnswer: 26067.008325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 19*c = -4*q - 2970, -2*q - 2960 = -5*c. What are the prime factors of c?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261 - (0 + 0)\/(-3)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 8, a: 4}. Give prob of picking 1 a and 1 d.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4810)\/740*(-4)\/221?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2933\/6805 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**2 - 11*t**2 + 6*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 14275 = -4*s, s = -s + n + 7133. List the prime factors of s.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(66) + sqrt(66))\/sqrt(6).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 15*f**2 - f - 62. Let z(a) = 16*a**3 - 3*a**2 + 6*a - 3. Let r be z(1). Is 27 a factor of i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*i**3*o + 2*i**3 - 346*i**2*o - 99*i**2 - 3*i*o + 54178*i + 23 wrt i?\nAnswer: 138*i*o + 12*i - 692*o - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, k: 2, y: 2, c: 1}. Give prob of sequence cv.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 221 = j - f, -5*f = -15. Suppose -5*d + 64 = -j. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -79*k + 83*k. Suppose -9*u = -k*u - 190. Let x = -71 + u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v + v)*(9*v**2 + 2*v**2 - 3*v**2) + (-388*v**2 + 803*v**2 - 771*v**2)*(-v + v + v).\nAnswer: -372*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 1. Let p(r) = -9*r - 2. Let n(b) = b**3 + 10*b**2 + 9*b + 8. Suppose -1 - 4 = -o. Let s = -14 + o. Let x be n(s). Determine x*h(g) - 5*p(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 3, m: 5}. Give prob of picking 1 k and 1 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 4*h. Suppose 5*a - g - 6 = -h*a, -g = -4*a + 4. Solve a*v = -9 + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*n**3 - 12*n**2 + 12*n**2)*(3*n + 0*n + 0*n) - n**4 + 2*n**4 - 2*n**4.\nAnswer: 101*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11*u**3 - 1 + 8 - 3.\nAnswer: -11*u**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:49 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 49. Let s(z) = 6*z**3 + 2*z**2 + z. Let u be s(-1). Let v = 0.42 - 0.02. Which is the second smallest value? (a) u (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43\/(-2) - ((-29058)\/(-116))\/167)*1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -20*s**2 - 76*s + 88. Let h(m) = 13*m**2 + 51*m - 59. Let w(c) = -5*b(c) - 8*h(c). Factor w(i).\nAnswer: -4*(i - 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*l = 5*l + 4, 2*k + 4 = -2*l. Suppose -3*m + u + u = -32, k = 5*m + u - 49. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*h + 15. Suppose u + 5*u = 3*u. Suppose -j - 3*i = -u*i - 13, -2*j = -2*i - h. Calculate the least common multiple of 18 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t**(-12)\/t))*(t*t*(t*t\/(t\/(t\/((t\/t**14)\/t))))\/t)\/t*(t\/t**9*t)**7 assuming t is positive.\nAnswer: t**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 3*z**2 - 4*z. Let g(x) = 4 + 12*x - 2524*x**2 - 4 + 2516*x**2 - 3*x**3. Determine 3*g(q) + 8*y(q).\nAnswer: -q**3 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*(5 + (sqrt(243) - sqrt(243)*2)*4) + -4 + 3)**2.\nAnswer: -10368*sqrt(3) + 105744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppou when four letters picked without replacement from {o: 9, p: 6, u: 4}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8289539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.503296*-0.7\nAnswer: -0.3523072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24308 or -24257?\nAnswer: -24257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*d = 46, 64 = 6*t - 3*t - 2*d. Solve 5*q + 0*c = -3*c - t, -4*q - c - 13 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*k + 1 - 2 + 1.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 3*h**2 + 3*h - 2. Let y = -28 + 37. Suppose -q - i = -y, -3*q + 2*i = 1 - 3. Calculate j(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**4\/4 + 8*s**3\/3 - 4*s**2 + 9*s - 3. Let p be l(-9). Let j = 0 - -2. Solve j*q - 4*i = -6, p*i = 4*q - 2*i + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u. Let a be y(-2). Let b = 27 + a. Suppose z - b*z = -8. Solve -z*w + 9 = -7*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 19. Is 376\/(g + 3) + 3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101101001011001 (base 2) to base 12\nAnswer: 5a335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11674537858 and 10.2.\nAnswer: 11674537868.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12*1))\/((481\/442)\/(-37)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w + 0*w)*(-2 + 2 - 4) + (2 + 1 - 1)*(-w + 3*w + 0*w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 + 3923672718 - 3923672718.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y - 6942 = 306*y + 665 + 3479 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -1.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 67 (b) 0 (c) 17 (d) 2\/725 (e) 0.4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3810665*t**4*u + 15229555*u with respect to t.\nAnswer: 15242660*t**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000099 to 7 decimal places.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*g - 70. Let y(a) = 269*a - 23 + g - 25. Is y(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/7)\/(q\/(q*q*q**0))*(q*q*q\/q**(-15))**14 assuming q is positive.\nAnswer: q**(1776\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -10*m**3 + 6 - 6*m**2 + m + 8*m**3 - 2*m**2 + 3*m**3. Let d(t) = -15*t**2 + 7 + 2*t**3 + 6 - 2 + 2*t. What is -11*c(f) + 6*d(f)?\nAnswer: f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 2*m - 3*i, 0 = 2*m + 4*i + 52 + 142. Let c = m + 345. Is c a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323006990 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(160)\/sqrt(5))\/sqrt(8))\/(sqrt(98)*2).\nAnswer: -3*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 750584418 to the power of 1\/3, to the nearest integer?\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**2 + a**4 + 8*a**2 - 4*a - 5*a - 10*a - 5*a**2 + 1 in the form z*a**4 + i*a + t + m*a**3 + s*a**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -a6?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbvv when four letters picked without replacement from {b: 8, v: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992083?\nAnswer: 83, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8 (b) 0.01 (c) 4 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l + 157*l**2 - 2 - 319*l**2 + 159*l**2 as a*l + b*l**2 + x and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d - r - 5 = 0, -9 = 2*d - r. Let i = -207\/8 + 26. Which is the smallest value? (a) -3 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*n = -119*n - 30 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279000459?\nAnswer: 3, 181, 171271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5716, 22827, 51346, 91273, 142608, 205351, 279502?\n\"Answer: 5704*m**2 - m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 - 15*n**2 - 6*n - 23. Let h be g(-8). Let q be (-2)\/(-1)*13\/1. Let u = h - q. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -47. Let q = 57 + t. Suppose -3*d + q = -d - b, 4*d + 3*b - 21 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3601.71411 to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -27*f - 1. Let o(i) = -260*i. What is n(o(u))?\nAnswer: 7020*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 6 (c) -85.8 (d) -1 (e) 0.266\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4*-263\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 17 = 2*o. Suppose 2*m - 44 - 96 = -4*v, -3*v + 110 = 4*m. What is the greatest common divisor of v and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*0*2\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -55*g - 11555. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 19 = 5*z, -z - 3*r = 2*r - 13. Let k(c) = 0*c + 29 - 4*c + 3*c + c**z. What is the remainder when k(0) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 20, -c + 2*l + 158 = -0*l. Suppose 4*g - 533 = 107. What is the common denominator of -7\/32 and ((-36)\/14)\/(g\/c)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.91 (b) 16\/5 (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -37. Suppose -2*w = -2*x + 3*x - 8, 24 = 3*x - 4*w. Suppose 4*a - 76 = -4*j, -4*a + x - 2 = -j. Calculate the greatest common factor of z and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311420 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000143038 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7367395 by -7.\nAnswer: 1052485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 3 + 2 + -8 - (55 + -67) - 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1391\nAnswer: 1\/1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 950 and 28690?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 15 = 0, -4*w + 71*f = 73*f - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 2. Let l = -27 - -34. Let w be 2\/l + 14\/(-49). Let h(u) = -5 + w*u - 12*u**2 + 15*u**2 + 0*u. Give -5*f(o) + 2*h(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4, -5*k = -3*s - 10*k + 26. Suppose -s*w = m - 8, 0 = m - 3*w - 13 + 30. Let z be m\/(((-30)\/9)\/5). Solve 4*g - 4 = z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/20 - a**5\/12 + a**2 - 2735. Suppose 0 = -5*d - 1 + 26. Let r(b) = -7*b**3 + 6*b**2. Give d*r(o) + 6*s(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhlh. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 + 2*v**3 + v**4 + 4*v**2 - 5*v**4 to i*v**2 + r*v**3 + a + q*v**4 + b*v and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332818*a**2 + 83205*a**2 + 83201*a**2 + 83218*a**2 + 83217*a**2.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59913150 and 129811825?\nAnswer: 778870950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 - 167\/2. Let l(x) = -8*x**2 - 6*x + 24. Let w be l(-5). Let d = 148 + w. Sort d, r, 4\/5 in decreasing order.\nAnswer: d, r, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 3. Let i(s) = -3*s + 5. Let u(h) = -5*a(h) + 3*i(h). Let w be (-3)\/6 - 55\/(-10). List the prime factors of u(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3600803 and -18\/58645.\nAnswer: 18004015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 2\/7, -0.1, 0.\nAnswer: -3\/11, -0.1, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 12:09 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-100)\/(-5)*3\/4. What is the units digit of 36\/n + (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v + 4. Suppose 3*q = -3*d + 1 + 8, 0 = -3*q - v*d + 5. Let i(y) = 5*y**3 - y**2 - 2*y - 1. Determine i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(-6)*-2 - 2. Solve 15 - y = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 911.32 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 5, 1\/3, -0.47, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2 + 5 + d**2 + 0 + 8*d. Let i be h(-6). Let j = 0.19 - -1.81. What is the smallest value in i, j, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 388*x\/9 - 18818\/9.\nAnswer: -2*(x + 97)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d + 31*d + 109*d - 7*d + 2*d**2.\nAnswer: 2*d**2 + 130*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3564411\/4460 - 21\/4460. Let t = 801 + n. Let s = -7 + 11. Which is the smallest value? (a) s (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2\/4 + 125*z + 230181\/4 = 0.\nAnswer: -291, 791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 4194 = 30*m. What is the remainder when (m + -1)*11\/11 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahho when four letters picked without replacement from {o: 7, t: 2, h: 3, q: 1, a: 5}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 5*s**2 + 13*s - 5. Let m be w(-7). Let a(h) = h**3 + 4*h**2 + 14*h**2 + 2*h**m + 8*h - 14. List the prime factors of a(-19).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(1539) + 1 + -5 - sqrt(1539)) + sqrt(1539) + sqrt(1539) - sqrt(1539))*4*1)**2 + (-3*(1 + sqrt(1539) - sqrt(1539))*5*-4)**2).\nAnswer: -142400 + 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27113631, 2\/5, -28?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 272*k + 1853. Let n be o(-7). Let l(h) be the third derivative of h**4\/24 - h**2. Determine l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k = 42*k - 85*k - 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1192526ml?\nAnswer: 0.0001192526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2159364.\nAnswer: 2, 3, 179947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 795449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3 and -59\/318732.\nAnswer: 318732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215427?\nAnswer: 421, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5064, 5042, 5014, 4980, 4940, 4894, 4842?\nAnswer: 4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236995, -947988, -2132975, -3791956, -5924931, -8531900, -11612863?\nAnswer: -15167820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 14*x = 21. Find the third derivative of 3*f**6 + 4*f**6 + x*f**6 + 9*f**2 wrt f.\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 36*b + 216. Calculate w(7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287429 + -98974. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 7) to base 15\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 1157, 2628, 4675, 7286, 10449, 14152?\nAnswer: 18383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsjn when four letters picked without replacement from {n: 3, s: 4, i: 1, j: 1, c: 4}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02070272556 to 4 dps.\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u + 1 - u - 9 - 24. What is the smallest common multiple of f(-6) and (-11 - 1)\/(3\/(-2))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55*4005\/3465 - 40\/5) + 3\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47514\/47 = -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/9*1821*(-1 + 0). Let p(x) = -x - 7891 + s. Let j(f) = -29 - 3*f + 2*f + 0*f + 2. What is j(p(u))?\nAnswer: u - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from ktvvkrzkvvrvvz?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 11*l**2 + 10*l - 6. Let m be y(-12). Let t be 8\/69*m\/24. Let d = -6 + 6.3. What is the third biggest value in d, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(sqrt(99) - (2*sqrt(99) + sqrt(99))) + sqrt(99) - sqrt(99))*-3)\/(sqrt(1944)\/sqrt(6)*4*1).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-26\/3)\/(l**(-2)*l*l*l**(2\/11)) assuming l is positive.\nAnswer: l**(-578\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q + 125 = 0. Let f(b) = b - 2. Let m be f(3). Solve 5*h - j + q = 0, h + m = -3*j - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {e: 1, r: 1, b: 1, v: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1700*c + 6800. Let x be l(4). Factor 3\/5*o**4 + 0 + 1\/5*o**5 + x*o + 0*o**2 + 2\/5*o**3.\nAnswer: o**3*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12491 and -12491 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.128 + 0.072. What is the second biggest value in -4, h, 0.9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1969770 and 1611630?\nAnswer: 17727930","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**3\/3 - 3*r**2\/2 + 3*r - 1. Let u be z(2). Let h = -7 + 11. Sort u, h, -4.\nAnswer: -4, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7)\/12*30\/9.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*v, -13 = -4*u - 9*v + 4*v. Suppose u*g - 36 = 202. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(11) + 1 + sqrt(11) + 0.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 940*f. Let p(b) = -136*b**2. Give q(p(i)).\nAnswer: -127840*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 11*h**4\/4 - 2*h**3\/3 + h**2 - h - 5. What are the prime factors of a(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/((-3)\/4). Let a = p - -23. Suppose -a = -3*w + 26. Solve -w = 4*g - 5*j, -4*g = 3*j - 4*j + 13 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*z**2 + 0*z**2 - 36*z**2 + 624*z - 43*z**2 - 624*z + (z + 1 - 1)*(-1 - z + 1) to the form a*z + m + s*z**2 and give s.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 25 = 0, 2*g = 5*h - g - 195. Suppose h*p - 54 = 33*p. Let z = p - 18. What is the biggest value in 4\/9, -5, z?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 2*l + 2*l. Let z(t) = -9*t. Calculate d(z(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(162))*-2*-3)**2.\nAnswer: -648*sqrt(2) + 5868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43\/48949 - 56179733\/151546104. Let p = -2\/387 + g. What is the biggest value in p, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19027.2 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2 + (4 + 4 - 3)*(4 + 0 - 6) - 3 + 0 + 1)*(7*x**5 - 3*x**5 + 0*x**5).\nAnswer: -56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3780)\/(-350)*(-90)\/81.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, s: 1, a: 1, e: 1, u: 2}. Give prob of sequence ru.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-2)\/sqrt(11) - sqrt(3) - sqrt(768) - (-1 + sqrt(243) + 4)) + -2.\nAnswer: -28*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.165 times -4?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, -22, -31, -36, -37, -34, -27?\n\"Answer: 2*i**2 - 19*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9\/(27\/(-2))*-33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -57. Let h = -16 + c. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 117 = -2*g, -n = -5*g - 35 - 10. What is the greatest common divisor of 175 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/190 - 5*s**4\/114 - 2*s**3\/19 + 231*s. Solve y(p) = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -4 (b) 0.4 (c) -0.8 (d) -1\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10689166583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -6*n + 9*n. Suppose -8 = -2*j + n. Suppose 4*q - 1471 + 466 = 5*r, -3*r - 1240 = -5*q. Calculate the greatest common factor of q and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/211226418 and -89\/24.\nAnswer: 844905672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 292 + 10249. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 172, -10, -3.\nAnswer: -10, -9, -3, 2, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(189)\/sqrt(3)*1.\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100 - 91) + (2\/((-24)\/(-18)))\/((-2)\/20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 35913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 11*w. Let u = -2979 - -2979. Let x(q) be the third derivative of 0 + 0*q**3 + 1\/12*q**4 - 36*q**2 + u*q. Calculate x(f(s)).\nAnswer: 4*s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Suppose 5*w + 18 - 33 = 0. Let z be (m + w - 2)\/(-1). Put -3, -2, z in increasing order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4032 + -3?\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 0.2, -2\/3, -2\/9, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxmmmummm. Give prob of sequence xu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b + 6*b - 13*b + 8 - b + 7*b**2 - b**3. Determine i(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -343 + 546. Is 41 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*s - 20 = 0, -2*u - 4*s = -5*u + 27. Let a = 15 + u. Calculate the remainder when 54 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (120\/(-32))\/(2*3\/(-24)). Suppose -6*a = -a - f + 26, 5*f - l = 2*a. Let o be (-3 - 0\/1)\/1. Is a bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12292258001359 and -0.16.\nAnswer: -12292258001359.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n*w**3 - 3*n*w + 7*w**3 - 3*w**2 - 138*w wrt w.\nAnswer: -6*n*w + 42*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 21 - 19. What is the remainder when 14 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-4\/11)))\/(b\/(b**1*b)))**(-2\/27) assuming b is positive.\nAnswer: b**(-14\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11630*x**3 - 3*x**2 + 2*x + 12. Let v be l(-2). Suppose -626*j + 620*j = -v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/1856513 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**16\/((i**30*i)\/i)*i\/i**(6\/7)*i**(-31))**34 assuming i is positive.\nAnswer: i**(-10676\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -1, 9 in decreasing order.\nAnswer: 124, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - 4. Let x = 130 - 126. Let v(u) = 4*u**3 - u - 3. Let d(s) = x*v(s) - 3*w(s). Factor d(m).\nAnswer: 4*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1399 (base 11) to base 12.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6269 is divided by 5972?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*m**3*w + 13*m**3 - 2*m*w**3 + 3*w wrt w.\nAnswer: -26*m**3 - 6*m*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/6 - 211*r**2\/6 + r\/6 + 211\/6 = 0.\nAnswer: -211, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 23 + (55 - 13).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 342415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9)\/(2\/(-30)). Let g(m) be the third derivative of -m**6\/120 + m**5\/12 - m**4\/12 + m**3\/3 + m**2. Calculate g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.842604ng in milligrams?\nAnswer: 0.000004842604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z*z\/(((z*z**11*z)\/z)\/z))\/(z**8\/z**(-6)) assuming z is positive.\nAnswer: z**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.976488 - -0.621102. Let w = -2.6 + r. What is w rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.030041990664 - 21.\nAnswer: -21.030041990664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.21 + -48.79. Let x = -29 - j. Let c = 4.2 + -0.2. What is the closest to 1 in c, -2\/15, x?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*m = 0. Suppose 4*d + 0 - 12 = m. Solve 0 = -l - 3*b - 8, d*l - 4*b + 16 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 105908?\nAnswer: 317724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37911746 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(26))\/sqrt(2) + ((sqrt(208) + sqrt(52) - sqrt(52))\/sqrt(4) - sqrt(13)))*3)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4020 and 26064360?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.44*1032460\nAnswer: -454282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.6 - -8.9. Which is the closest to 3\/7? (a) -1\/4 (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143290*79.\nAnswer: 11319910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 702250367 to the power of 1\/2, to the nearest integer?\nAnswer: 26500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w**2 + 6*w**2 + 9*w**2)*(2*w**2 + 13*w**2 - w - w).\nAnswer: -30*w**4 + 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13166 - -13165.7. Put -0.4, -1273\/3, l, -3 in ascending order.\nAnswer: -1273\/3, -3, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**6\/720 - 7*y**5\/120 - y**4\/8 + 2*y**2. Let v(o) be the second derivative of p(o). What is the derivative of v(d) wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-3) + 4)*7\/(189\/(-36))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1770 and 19175?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*x**2 - 3*x + 19*x**3 + 2*x - 126*x**3 - 75*x**2.\nAnswer: -107*x**3 - 92*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-20) - (-11)\/15. Let p be (-7)\/6 + (-40)\/(-24). Which is the nearest to 0.3? (a) -0.5 (b) p (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3 + 3627*h**2 + h + 117797.\nAnswer: -3*h**2 + 7254*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 18*w - 29*w + w**2 + 11*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2588038 (base 9) in base 14?\nAnswer: -28c2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (3 + sqrt(70)\/sqrt(10) - (sqrt(7) - (sqrt(343) - (4 + sqrt(343))**2 - sqrt(7))))).\nAnswer: 200*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25*11.3607\nAnswer: -284.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51539791?\nAnswer: 4603, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44616 + -0.8.\nAnswer: -1.24616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 214\/108 - (-2 + 4). Suppose -16 = -4*m, -67*y + 13 = -66*y + 3*m. Is h <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 5*o - 1054 + 1136, 2*t + 3*o + 44 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*g**2 - 139*g**2 + 46*g**2 - 71*g**2.\nAnswer: 282*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 + 3*l**5 + 2*l**5 - 90*l**4 + 45*l**5 - 83*l**5 + 39*l**5 - l**5 - 3 + 3 + (-2 - 2 + 2)*(3*l**5 + 3*l**5 - 4*l**5).\nAnswer: -3*l**5 - 90*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-522)\/(-42))\/((-6)\/(-4))*-145*(-812)\/33640?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26093.2 + -26093. Which is the nearest to -2\/5? (a) -4 (b) 0 (c) r (d) -184\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13604.14 to the nearest 100.\nAnswer: -13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 + 11*i**4\/24 + 5*i**3\/3 - 7*i**2. Is 5 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-146)\/10 + (-237)\/(-395). Is (-5442)\/(-1)*(0 - t\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/7*(-6)\/4. Let q(o) = 0 - 5*o**2 + o**2 - 3 - c*o**3. List the prime factors of q(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 503\/203 - 76\/29. Which is the closest to h? (a) -1 (b) -2\/99 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -8071781?\nAnswer: 24215343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 29*z**5\/60 + z**4\/4 + 244*z**3\/3 - 299*z**2. Differentiate t(o) with respect to o.\nAnswer: 58*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by -6.\nAnswer: -187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*n + 12, j - 5*j - n + 13 = 0. Suppose 5*t = 5*f - 190, -f - j*t + 71 = f. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -q + 3*q, 0 = 4*d - 4*q + 4. Suppose 0 = -2*w + 2*j + 2, 3*w + d*j = 48 - 17. Solve l = w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 816 and 3138472.\nAnswer: 18830832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 - 142 - 168 - 77 - 19)*(-4937 + 4937 - 164*t**2).\nAnswer: 28044*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5244, 10513, 15782, 21051?\nAnswer: 26320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*a + 45, -5*b - 38 = -5*a - 113. Let w = -23 + b. Let h = 15 + w. Solve 2*c = c + h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 4, -0.2, -1.8 in increasing order.\nAnswer: -1.8, -0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 117895*b + 0 + 0 - 58986*b - 58909*b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79.6 - -545.6. Let r = t + -465. Which is the nearest to r? (a) -0.04 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (26 + -12) - (6 + -2) - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3143362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.02 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 5*p**2 - 3*p + 3. Let r be h(3). Let i(s) be the first derivative of -s**2 + 18*s - 82. Let v be i(r). Let u(j) = j + 3. Determine u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(1 - (-40)\/(-48))*1. Let c(u) be the third derivative of 0*u + 0*u**3 - y*u**5 - 5\/12*u**4 - 6*u**2 + 0. Find the second derivative of c(g) wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 1928.785.\nAnswer: 1940.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*1.85\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/3 + 10*b**2 - 29*b - 9. Let f be -22*((-4)\/(-24))\/(3\/18). What is the remainder when 117 is divided by v(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.002 - -0.102. Which is the nearest to -2? (a) 3 (b) -4 (c) p (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294 - 290. Sort 18, b, 2 in increasing order.\nAnswer: 2, b, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35020 is divided by 72.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 17. Let h be (4\/(-42))\/((-2)\/(-6)). Which is the nearest to h? (a) 0.3 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -408, -406, -402, -396, -388, -378?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*p - 1, 58 = 4*s - 2*p. Let r = -3 + s. Solve 0 = -4*d + 4*i - r, 0*d - i + 11 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/(-12)*(1002 - -4). Let d be b\/11 + 2\/11. Suppose 0 = -2*m + 5*t + 417, m - 3*t - d = -3*m. What are the prime factors of m?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(468) + -1)*-5)**2.\nAnswer: -1200*sqrt(13) + 46900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 2, z: 1, k: 1, e: 1, j: 2}. What is prob of sequence jl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 + 2*d**4 + 4*d**4)*(-5*d + 2*d + d) - d**5 + 2*d**5 - 3*d**5 + 13*d**3 + 17*d**5 - 34527 + 34527.\nAnswer: 11*d**5 + 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*b**3*x - 11*b**2*x**3 - 7*x**3 + 8 wrt b.\nAnswer: -45*b**2*x - 22*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5828?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122\/15 - 43\/10. Let d(n) = -3*n - 17. Let y be d(-4). Find the common denominator of j and 10\/(-6)*(-1)\/(y\/76).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 35700?\nAnswer: 249900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j - 124 = -2*j + 12, -2*l + j = 8*j + 119 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 331 - 184. Let d = g - 144.06. Let z = 0.94 - d. Which is the second smallest value? (a) 5\/4 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1332 divided by 111\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14360*c**3 + 91*c**2 - 22*c**2 + 7196*c**3 + 7179*c**3)*(3*c - 5*c + 3*c)*(-3 + 1 + 3).\nAnswer: 15*c**4 + 69*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.0767, -0.1 in decreasing order.\nAnswer: 4, 0.0767, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-182 - 8)\/(-10) - 10 - -805. Calculate the greatest common factor of u and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5664)\/8496*27\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*v + 143, 2*q + v = -0*q + 281. Let c = -100 + q. What is the units digit of (c\/(-35) + 2)*14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = m - 3*d - 16681, 0 = 2*m - 3*d - 33336. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 28 = f - 29, -5*d - f = -7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210925759 is divided by 165.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/(64\/160). Is (35\/(-10) - -2)*36\/s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1113\nAnswer: -5\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23422 in -8\/9, -0.3, 0.5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 151, 157, 167, 181, 199, 221?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 107*m**2 - m - 20. Let w be o(-12). Let d be w + 6 + 9\/(-3). Let c be d - (3 + -2 - -2). Round c to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.1 (b) -0.5 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 65596 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*a - 46161 + 5109. List the prime factors of a.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + q**2 + q - 1. Let c(a) = 5*a**3 + 3*a**2 + 3*a - 3. Let j(o) = o**2 - o - 4. Let y be j(5). Let f = -22 + y. Determine f*u(p) + 2*c(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, n: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(136)\/(5*sqrt(128) + sqrt(8)).\nAnswer: -5 + sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(0*c + 2*c - 4*c) + 4*c - 4*c - c - 6*c + 3*c + 12*c)*(0 + 1 - 3) as b + h*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 250 = 3*n - 0*m + m + 197, 0 = 2*n + 3*m - 173 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {k: 2, n: 9, h: 5}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1807 + -0.6807. Let w = 0.85 - 0.8. Which is the biggest value? (a) 4 (b) 5 (c) m (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(6\/5)\/t*t\/(t**1*t)*(t**(-1\/4))**(-1\/56) assuming t is positive.\nAnswer: t**(-891\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -718\/47 and -16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 4. Let u be 4\/x*(-1)\/(-2). Is u greater than or equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, -104, -154, -204?\n\"Answer: -50*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + 4 + -4 + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**6\/10 - 9*u**5\/20 + u**4\/4 + 3*u**3\/2 - 3*u**2 + 7*u - 2. Let t(o) be the first derivative of w(o). Solve t(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(2*d + 2*d - 3*d) + 3*d + 4*d - 5*d + (5 + 1 - 5)*(1 - 1 - 2*d) - d + 2 - 2 + 2*d - 10*d - 11*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8613*w - 140 = -8641*w. Let h be (-1*1)\/(2\/(-34)). What is the second derivative of 15*i + 15*i**3 - w*i**3 - h*i - 25*i wrt i?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11210505 (base 6) in base 15?\nAnswer: 6bc35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-5 - -7) - (9 + -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553772.\nAnswer: 2, 167, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 41. Suppose -c + 3 = 0, -5*d + 12 = -2*d - 3*c. What is the smallest common multiple of z and d?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeeexeexeeexxgeegxe. Give prob of sequence xge.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 9*o**2 - 2*o**2)*(0 - 3 + 4)*(0*o - o + 3*o)*(-10 + 22 + 11).\nAnswer: -506*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.82 - 0.38. Let v = -2.8 + o. Which is the closest to -0.07? (a) 1\/3 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -205, -203, -191, -163, -113, -35, 77?\n\"Answer: u**3 - u**2 - 2*u - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1312, 1308, 1304?\nAnswer: 1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((308\/(-550))\/7)\/(12\/45).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 189053 plus 7060.3?\nAnswer: 196113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**2\/4 + 2851*a\/2 - 28485\/4 = 0.\nAnswer: 5, 5697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646 times -0.102?\nAnswer: -269.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - z**2 - z - 6. Let x be o(0). Let k = x - -22. What is the smallest common multiple of k and 76?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120020222 (base 3) to base 11\nAnswer: 21166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:50 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2527 + 13272 = -112634*a + 111946*a + 425 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - f = 9, 0 = -3*f + f - 6. Let u be ((-140)\/(-105))\/(2\/v). Sort -18, u, 4 in ascending order.\nAnswer: -18, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13276 by -1.\nAnswer: 13276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28507829.\nAnswer: 7, 1709, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14438149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/3, -7, 0.6, 8?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 6*l + 5. Let x be z(4). Let r = x + 22. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29132\/33 - -29143\/33. Factor -8*u**3 + 0 + n*u**4 - 80\/3*u + 28*u**2.\nAnswer: u*(u - 20)*(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5, 8\/215, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -13 - 17) + -3 + 18 + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3995621 rounded to one dp?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-180) - (-20)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319369181 to the power of 1\/2, to the nearest integer?\nAnswer: 17871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:54 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*y + 80, -163 = 4*y - n - 0*n. Let g = y - -403. Let u = g - 3979\/11. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 2*r**2 - 2*r - 3. Let p be j(-3). Let t(d) be the first derivative of -d**3\/3 - 23*d**2\/2 + 8*d + 9. What is the units digit of t(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3285.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**2. Let n(l) = -2*l**2 + 3*l**2 - l**2 - l**2. What is n(v(s))?\nAnswer: -49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50871 is divided by 104?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 3 = -9*k. Let f(n) = 9*n**3 - 3*n + 13*n**3 - 32*n**3 - 6*n**2 + 11*n**3 - k. Determine f(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.189 - 19.611. Let g = -193.5549787 - -173.754992. Let d = g - a. What is d rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42245 - 2703617\/64. What is the common denominator of -89\/56 and u?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7144441 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-24)*-102 + 2\/8. Solve 3*o + 5*z = -s - 13, 5*o - 2*z = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*n + 50, -3*q = -5*n - 6 + 56. Suppose 0 = -n*t + 12 + 28. Solve u - 4*u + l = -8, l + t = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -2\/5, 4, 150?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 + 257. Suppose 3*c = -4*z + 133, -2*c = 3*z - c - y. List the prime factors of z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 47*r**2 - 55*r + 952. Determine f(-44).\nAnswer: -2436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 918, 920, 922, 924?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -k**2 - 45*k + 2. Let d(s) be the first derivative of s**3\/3 - 128. Calculate m(d(b)).\nAnswer: -2*b**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 357*n**5\/2 - 116751*n**4\/4 + 402873*n**3\/4 - 89049*n**2\/2 + 720*n = 0.\nAnswer: 0, 2\/119, 1\/2, 3, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/16)\/(609\/1624).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 46, 67, 88?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -106578.\nAnswer: -21315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 1312*y**2 - 649*y**2 - 664*y**2 + 34 to the form x*y + k*y**2 + h + m*y**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303881?\nAnswer: 37, 43, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let z(u) = -10*u**2 + 5*u. Let x(s) = 9*s**2 - 4*s. Suppose 0 = -o + 3*j + 4, 4*j + j - 20 = -5*o. Let d(a) = o*z(a) + 5*x(a). Calculate d(w(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 249\/27 + -6 - -1. Let c be ((-1)\/(-1))\/(0 - 3). Which is bigger: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 11*l**2 + 28*l - 68. What are the prime factors of n(-28)?\nAnswer: 2, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023034079 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 766*j - 7. Let y be z(2). What is the greatest common factor of y and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(540) - (sqrt(540) - 1*sqrt(540))*-4)\/(sqrt(75) + 3*1*sqrt(75) + sqrt(75) + ((sqrt(75) + sqrt(75)*2)*2 - sqrt(75))).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-10) - 40\/100. Solve -4 + y = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by (2 - 9\/4) + 146\/8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -18*o**2 - 6*o - 7. Let z be n(-1). Is z at most as big as -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.091 - 4.229. What is n rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 106 = n + 46, -3*n = 3*y + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*r = 0, 3*k = -4*r + 3*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**5 - 5*m**5 - 4*m**5 + (-2 - 3 + 3)*(22*m**5 + 2*m**5 - 7*m**5).\nAnswer: -39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1907, 8, 3, -2 in ascending order.\nAnswer: -1907, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Solve 4*s - 16 = 2*x, -s - 3*s - 3*x = k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.85 - -1.05. Sort h, -0.4, -7, 1 in ascending order.\nAnswer: -7, -0.4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5 + 4 + 3 + 3 + 33*x. Is k(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 3*y)*(4*y + 2*y - 5*y) - 5*y**2 + 0*y**2 + 4*y**2 + (-10 + 10 - 3*y)*(-5*y + 2*y - 20*y).\nAnswer: 67*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 39354100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 24 = -3*o, -i + 4*o + 8 = -2*i. Let u be (9\/(-6))\/(6\/i). Solve -2*a + 4 = u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -6. Suppose i*q = 4*d + 2*q - 52, -4*d + 46 = -5*q. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001 + 100111011010110?\nAnswer: 100111010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 99203?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 5*j - 3*n - 15200, -j - n = -3040. What are the prime factors of j?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(-9*6\/(-34668)). Suppose 1119 + v = -6*g. Which is greater: -241 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from {r: 1, q: 1, d: 2, t: 1, p: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-3))\/(-6 - (-305)\/51). Let f be -1 + (-135)\/(-7) - h\/(-119). Is (-21)\/f*-3*28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -2 - (2 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9501 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228\/5, -42848, -2.\nAnswer: -42848, -2, 228\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2 - -7.24. Let c = 14.96 - 15. Let o = c + t. Sort 0.2, -2\/9, o in increasing order.\nAnswer: o, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (5 - -10)) + (-1 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001032 - -120?\nAnswer: 2001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001110 (base 2) in base 6?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m + 3. Let s be b(4). Suppose 3*j + s = -3*d, 5*d - 1 = -j - 18. Which is greater: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 941104, 1882209, 2823314, 3764419, 4705524, 5646629?\nAnswer: 6587734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 612604996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10266 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(2*u**2 + 2 - 2) - 14*u**2 + 16*u**2 + 4 - 6.\nAnswer: 4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose l*k + 15 = -2*p + 3*k, -k + 5 = 4*p. Let g = 28.902 + -30.902. What is the closest to p in g, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7, p: 3, v: 7, l: 2}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-455)*5)\/(5\/(-7)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 7}. What is prob of sequence iii?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.4 + 12. Which is the biggest value? (a) v (b) 3\/2 (c) 2\/45 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -21*k**3 - 22*k**2 + 5*k + 9. Let d(r) = 4*r**3 + 5*r**2 - r - 2. What is -2*a(z) - 11*d(z)?\nAnswer: -2*z**3 - 11*z**2 + z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 471*f - 378. Let x(z) = -471*z + 454. Determine 6*m(s) + 5*x(s).\nAnswer: 471*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 + -3 - 1) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30675588*g + 30675588*g - 2076*g**2 + 713*g**2.\nAnswer: -1363*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -47, -63, -75, -83?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/120 - u**5\/12 - u**4\/4 + 7*u**3\/6 - 30*u**2. What is l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k - 478 = 45*k. Let x = k + -234. Calculate the remainder when 20 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 558016481 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pffg when four letters picked without replacement from vgfggppgpvfp.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 5*t - 3. Let n be d(5). Let c be (n\/1)\/(5 - 6). Solve l + 4*l = -u - 3, 9 = -c*l - 3*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a week in minutes?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*w + 5*t + 89, -w + 46 = 3*t. Suppose 0 = o - 70 - w. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 28, 5, 4\/5, -0.002, -259, 2, 0.4?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3 + 20*u**2 + 23*u**3 - 12*u**3 wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 2*h - 9*h - 2 - 2*h + h + 204*h**2 in the form v*h**2 + x*h + g and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 6\/5*t**2 - 14\/5*t**4 + 4\/5*t - 24\/5*t**3 = 0. What is t?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(320\/(-12)) - (-475)\/(-1672)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*p - 5. Suppose d - t - 4*t = 103, -p*t - 412 = -4*d. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - (14 + (-16 - (-17 + -2))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -52. What is a in 20*a**3 + 7*a**2 + 18*a**2 + h*a**4 - 47*a**4 = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11540400 divided by -961700?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*t**4 - 4*t**3 + 168*t?\nAnswer: -252*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2101605*f**2\/2 + 14711233*f\/2 - 7.\nAnswer: (f + 7)*(2101605*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5321 + 1111 = -5*t + f, -2*f = 3*t - 2513. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2052296975 to the nearest integer?\nAnswer: 45302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -96*p**2 - 2. Let q(c) = -864*c**2 - 18. Let j(v) = -3*q(v) + 26*y(v). Let o(z) = 4*z. What is o(j(u))?\nAnswer: 384*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 695 and 20?\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 658*u**2 - 1349*u**2 + 695*u**2. Let z(o) = -24*o + 1 - 1. Give z(k(j)).\nAnswer: -96*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {e: 9, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 5*u - 6, -46*u = -5*h - 41*u + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcrrzbbcbcc. Give prob of sequence rrbz.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggpgpgpgggg. What is prob of sequence gpp?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 1074060510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8684316 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2719\/88 + 410\/11. Calculate the common denominator of 19\/12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {m: 3, t: 3, d: 1, y: 2, e: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 3:50 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -a - 65, -a + 123713*t - 123711*t + 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2247472 millilitres?\nAnswer: 0.0002247472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(171) - (sqrt(171) + -1)) + 4 + sqrt(171)*1)*-5)**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020200 - -2?\nAnswer: 10020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 354003*d + 511271268.\nAnswer: -3*(d - 119428)*(d + 1427)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -536 in -3, -6, -0.003?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14233917 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.3, 0, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/169 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 0.26. Suppose -8 = -l - 3. Let b = 4 + -4. What is the nearest to b in -0.4, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*q + 12, -5*w + 3*q + 5 = -3*w. Let o(h) be the third derivative of -h**5\/20 - h**4\/12 + h**3\/3 - h**2. What is o(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + u**2 - u + 1. Let g be w(1). Let q be g\/(-30)*-4*10. What is the highest common factor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.34 or -0.3?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161423861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26491\/7 or 3783?\nAnswer: 3783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 16 - (32 + -36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -821 - -886. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -290, -523, -696, -809, -862, -855?\n\"Answer: 30*c**2 - 323*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-45)*-6 - (-38)\/60\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 1, x: 5, c: 2, h: 2}. Give prob of picking 1 h, 2 f, and 1 b.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = n - 38, -314797*n + 314801*n = -4*v + 32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 7. Let h(d) be the first derivative of 4*d**3\/3 - 2*d**2 + 5*d - 3. Is h(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483509 is divided by 413.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-1 + 3)) + -21 + 19 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 562*j**2 - 2*j - 4886. Let z(a) = 560*a**2 - 2*a - 4884. Let f(b) = -3*x(b) + 4*z(b). What is the derivative of f(i) wrt i?\nAnswer: 1108*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 3. Let j be f(1). Find the second derivative of -8*y**j + 62*y**2 - 62*y**2 - 24*y wrt y.\nAnswer: -160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 57*q - 16 + 88 = -192, -3*v - 2*q - 50 - 44 = 0 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1175 * 1.25\nAnswer: 1468.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.93 - 0.07. Let n = -19.9 + 20. Which is the closest to n? (a) -1 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/90*-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 11}. Give prob of picking 2 g and 1 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**9\/10080 - o**7\/1680 + o**5\/20 - o**2. Let t(x) be the third derivative of d(x). Find the second derivative of t(c) wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 49.57761cm?\nAnswer: 0.0004957761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41048.29 micrometers in nanometers?\nAnswer: 41048290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.2 - 1.1. Let h be (-9)\/10 - 5\/(-10). Which is the nearest to h? (a) 4 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 3*h - 5)*(-2 + 1 + 2) + 3*h - 8*h - 7*h + (1 + 2 - 4)*(2*h - h + h))*(5*h - h - 2*h).\nAnswer: -22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/60 + 10\/(-25)*-1. Sort -5, 0.1, 26, a, 3.\nAnswer: -5, 0.1, a, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0024033 and 22.2.\nAnswer: -0.05335326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12181*f + 5. Let a(m) = -24378*m + 11. What is 6*a(l) - 13*q(l)?\nAnswer: 12085*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110590\/38731 - -10\/5533. Factor r - 12\/7*z**2 + 6\/7*z + 2\/7*z**3.\nAnswer: 2*(z - 5)*(z - 2)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18238 - 11177. What are the prime factors of r?\nAnswer: 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.81 rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 6)*(2*g - 2*g + 2*g - 2*g - 2 + 2 + (-4 + 3 + 0)*(g + 0*g + 0*g) - 69 + 69 - 12*g) to the form i*g + t and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*t + 217*t = -90. Solve 5*j - 2*s - t = 0, -12*s = -j - 14*s - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.72 + 0.38. Let p = -2.1 + j. Which is the closest to -1? (a) -1\/4 (b) 2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306796 - 804*f**2 + 1618*f**2 - 817*f**2 - 306796.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223780*v**3 - 2*v + 67790 wrt v.\nAnswer: -1342680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1126, 1321, 5398, 11105?\nAnswer: 18442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -236688 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2089656 by -4.\nAnswer: -522414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 50 = 4*a. Suppose 5*h + 17 + 0 = -3*x, -a = 2*x + 3*h. Let n = 22 + -21. What is the remainder when x is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2 - (1 - 0)) - (-323 + 326)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((34 - 33) + 17 - 0) + -4 + 0 + 41.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1565 - 10b5?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(2450)*1 + -4*sqrt(50)*-5*-6)**2.\nAnswer: -1825200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16ab (base 14) to base 8.\nAnswer: -7747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32 - (7 + -3) - (55 + -47)) + -3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -339, -524, -719?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.09, 2\/5, 0, 1, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -856*v**2 - 7000*v + 3497*v + 3503*v in the form o + i*v + a*v**2 and give a.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -37. Let x be -54127 + (-1 - h - 2). Let v = 289871 - x. Round v to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 2*t**2 + 263. Let d be o(0). Suppose -47 - d = -5*p. Is p a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9890203 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279297 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yys when three letters picked without replacement from {s: 7, y: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 6*j. Let f(n) be the first derivative of 0*n**2 - 2\/15*n**3 - 1\/10*n**4 + j*n + 2. Suppose f(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 438867.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 - 8*p + 15. Calculate u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6778 is divided by 979?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - ((-4188)\/(-838) + 1*-5). Let u = a - -1663\/5447. Let 0*y**4 + 2\/13*y**5 - u*y**2 - 8\/13*y**3 + 4\/13 + 6\/13*y = 0. What is y?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k - 27. Let q(o) = -2*o + 14. Let c(f) = -3*i(f) - 5*q(f). Let v = 1029 + -1029. Determine c(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c + 2. Let r be p(2). Suppose d - r*d - 30 = -5*l, 0 = 3*d + 12. Solve 0 = -l*q + w - 6*w + 18, q + 4 = 4*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 336?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 167984*v - 1. Give y(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7683 to one decimal place.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 121987 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 6212?\nAnswer: 6212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouou when four letters picked without replacement from uouubbkoaobuuuba.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 689 - 513. Calculate the remainder when q is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y - 7*y + a + 158 = 44, -3*a - 42 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/77 (b) -0.4 (c) 2\/15 (d) 0.06 (e) -11 (f) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -18. Suppose 4*j = 22 + c. Calculate the least common multiple of j and (-2)\/(-1*2\/14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3345 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 473538 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22578?\nAnswer: 2, 3, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4371 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74\/3 - -24. Sort 0.32, 4, b in decreasing order.\nAnswer: 4, 0.32, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 2*r - 5, 27 = -4*h - 3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/14)\/(10\/35). Suppose -q*r - 14 = -4*i, 4*i - 3 = r + 14. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 q when four letters picked without replacement from sqlqssqqssssqq.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**5\/60 + y**4\/24 - y**3 + 2*y**2 + 12*y. Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3 - -1.3. Let b = 989 - 991.964. Let i = b - g. What is i rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 391*y**2 - 8726*y + 2733. Determine z(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1018 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by 113\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 120 (base 3) to base 4\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-14)*l\/l**(1\/5)*l**13\/(l*l\/(l*l*l\/l**(-1\/12)*l)) assuming l is positive.\nAnswer: l**(1853\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-1 + -1 - -2). Suppose -x + 250 = 4*x - q*g, -2*x + 95 = -g. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 859236 and 6176.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + sqrt(1053) - sqrt(1053))*4*-6)**2.\nAnswer: 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -69, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3625107.622 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -52*c - 14. Let p be f(-7). Let u be (35\/p)\/(0 - (-2)\/4). Factor 0 + 2\/5*i - u*i**2.\nAnswer: -i*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -342, -684, -1026, -1368?\n\"Answer: -342*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(1 + sqrt(1100) - (sqrt(891)*-1)**2).\nAnswer: -10*sqrt(11) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-nine fifths of a milligram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 3*d**4\/4 + 55*d - 121. Let n(g) = g + 8. Calculate n(b(w)).\nAnswer: 9*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -41478181?\nAnswer: 41478178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27*(5 - 20)\/(-5) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -316630000 to the nearest one million.\nAnswer: -317000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 7*u**4 - u**4 + (-1 - 9 - 2)*(4*u**4 - 2*u**4 - 6*u**4).\nAnswer: 59*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000056687 rounded to 6 dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**5\/2 + 165*l**4\/2 + 159*l**3\/2 - 165*l**2\/2 - 81*l = 0.\nAnswer: -54, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {u: 1, f: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 1516 = 166. Let d = y - 70. Which is smaller: 60\/13 or d?\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 - 4*d**2 - 4*d + 6. Let a be h(2). Solve -7*g - 10*g = a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 + 7354*o\/9 - 3272.\nAnswer: 2*(o - 4)*(o + 3681)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(3 + (-938)\/8). Is n\/(-9) + 2\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*o + 160, 2*o - 5*o - 5*y - 86 = 0. Put -93, o, -4 in increasing order.\nAnswer: -93, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 2*f - 20. Let c(g) = 6*g**2 + 4*g + 39. Determine -4*c(y) - 7*t(y).\nAnswer: -3*y**2 - 2*y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - -1*sqrt(300))\/((sqrt(6) + sqrt(24) + sqrt(6))*-2))**2.\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 - -11100101011?\nAnswer: 11101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.8 (b) 3.7 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 5*a + 5. Let h be 126\/12*(-4)\/(-3). Suppose h = -4*v + 2*i, -v - 5*i = 4*v + 55. What is p(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-12)*(-2)\/7*3)\/((-216)\/252)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1778*l - 139. Is h(-37) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + -4 - (3*(0 + sqrt(2)) + sqrt(2)) - (-5*(1 + sqrt(2)) + 2)) + (sqrt(120)\/sqrt(5))\/(sqrt(6)\/sqrt(2)*3).\nAnswer: -1 + 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046672 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 34. Suppose 0 = y*q - 10 - 44. Let z(c) = q - 6 - c - 3. Let h(s) = 5*s. Calculate z(h(w)).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 327 + -305. What is the remainder when 175 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f + 10 = -82 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*u + 1584 = 1272 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1690, -6814, -15368, -27364, -42814, -61730?\n\"Answer: -2*j**3 - 1703*j**2 - j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(-3*(-5)\/15). Let v = q + 25. Let a = 18 + v. What is the highest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10739*w**2 - 10773*w**2 + 2*w + 21488*w**2.\nAnswer: -24*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31ed + -12e66?\nAnswer: -ec68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.960219cm?\nAnswer: 99602190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 9) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*m**4 + 2*m**3 + 137 wrt m?\nAnswer: 80*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57338.\nAnswer: 2, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102808455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.608 + -2.392. Let v(x) = x**2 + 23*x - 79. Let n be v(-26). What is the closest to -1\/7 in 4, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 + 3*f**2 + 5*f - 5. Let r(x) = -8*x**3 - 8*x**2 - 12*x + 12. Give -5*r(n) - 12*w(n).\nAnswer: 4*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33288081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130046 - 63403. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 984626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -6900*q**2 - 6*q - 6. Let o(v) = -17118895*v**2 - 14885*v - 14885. What is -14885*j(z) + 6*o(z)?\nAnswer: -6870*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b5ab21 - -2?\nAnswer: -b5ab1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5400\/(-135)*(-2)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59016+510042361\nAnswer: 509983345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 4*g**2 + 6*g - 4. Let v be s(5). Let b(q) = 4*q. Let o(u) = u + 1. Determine v*b(r) - 2*o(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(1700) + 0))**2.\nAnswer: -367200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -eacfcd?\nAnswer: eacfd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(17*v - 84*v - 7*v)*(-7*v + 3*v + 3*v - 4*v + 0*v + 2*v + (-4*v + 2*v + 0*v)*(0 + 2 - 4) + v - 3 + 3).\nAnswer: 296*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4704, -4894, -5070, -5226, -5356?\n\"Answer: b**3 + b**2 - 200*b - 4506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-60) + ((-51)\/(-45) - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -214, -3, 13, 5, 2 in descending order.\nAnswer: 13, 5, 2, -1, -2, -3, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l. Suppose -3*y - 3 = -l*y. What is the units digit of 8 - y\/((-3)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-320.7625735094\nAnswer: -320.4625735094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*a - 26, 6*a - 24 = 3*a + 3*i. Suppose 0 = -a*w + 1 + 5. Let d = 25\/6 - 41\/12. Which is smaller: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:26 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 2*d - 23 = -27*a, d = 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 135033.576.\nAnswer: -135033.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7257 divided by 16?\nAnswer: -7257\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/(w**(-5\/6)*w))\/(((w**(-10)\/w)\/w)\/(w*w*w\/w**(2\/11))) assuming w is positive.\nAnswer: w**(1033\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 124.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*n - 88, -29702*n = -3*h - 29707*n + 66 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387552, 387551, 387550?\nAnswer: 387549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.123*-5.945.\nAnswer: 0.731235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*m = -346*m + 1190400. Round m to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 26, 110, 280, 566, 998, 1606, 2420?\nAnswer: 3470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.9 - 28. Suppose 1050 = 31*f - 24*f. Let y be (-2)\/12 - (-125)\/f. What is the biggest value in n, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76 + 58949?\nAnswer: 58873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-43)*3\/(-6)*2\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -15 - 29*r**2 + 0*r**3 + 44\/3*r**4 + r. What is the first derivative of m(t) wrt t?\nAnswer: 352*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3254*p - 2647*p + 5907*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 15*c - 60, -461*c = m - 466*c for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2091550627 to the nearest integer?\nAnswer: 45733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30771753 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/38 - 23\/114. What is the nearest to n in 0.13, 0.2, 5, 0.3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0.1, -7, -0.03, -3, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2037 = -3*r + 810, 0 = -r - 3*d + 942. What are the prime factors of r?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:25 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 - 7*z. Let t be 2926\/(-385) + 3\/5. Let g(m) = 6*m**2 - 4*m. Determine t*g(i) + 4*p(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000000725 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1\/6, 11, 36558, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.032?\nAnswer: 0.3096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126203 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-56))\/((-260)\/(-28))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjlljj. Give prob of sequence lj.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 236399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20265 divided by 11?\nAnswer: 20265\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3882*w - 59*w + 412*w = -190412 - 77792 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6774 and 56234.\nAnswer: -380929116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37965 is divided by 18936.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 20 = 0, -17*f - 184 = -21*f - w. Solve 6*d - 41 = -f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -54*i**2 - 2*i - 44. Let d(f) = -110*f**2 - 5*f - 88. Let y(b) = -2*d(b) + 5*k(b). What is the derivative of y(t) wrt t?\nAnswer: -100*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 376 and 7066040.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 + v**4\/6 + v**3\/2 + 2*v**2. Is 2 a factor of d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1654460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 131544 divided by -1218?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5 = 2*y, -4*q + 5 - 1 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 202098 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/63772 and 53\/164496?\nAnswer: 17601072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 25 + 11*n**2 - 25)*(4*n**2 - 2*n**2 + 0*n**2)*(-1094 + 132 + 3404)*(0 - 1 + 2).\nAnswer: 53724*n**4 - 4884*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 83*t**2 - 45*t - 7. Is 8 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5174\/691 smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -116. Let h = u - -22. What is the remainder when 18 is divided by h\/8*5\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 divided by 14?\nAnswer: 1066\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 11*m + 0 = h + 14 + 44, m + 17 = h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:44 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a**2 + 2*a)*(407*a - 182*a + 465*a + (3*a + 3 - 3)*(-2 + 3 - 3)).\nAnswer: 684*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 645707043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -73161252229942?\nAnswer: 73161252229942.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3499?\nAnswer: 699.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -790038049, -790038041, -790038035, -790038037, -790038053, -790038089?\n\"Answer: -k**3 + 5*k**2 - 790038053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69569 + 2*f - 69569.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from ttmmxmatggmtttmmtmtx.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**4 + 2*f**3 + 2*f**2 - 3*f**3 - 6*f**3 - f**4 in the form a*f + r*f**2 + p*f**4 + k*f**3 + u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*551765.\nAnswer: 275882.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, -1085409 in decreasing order.\nAnswer: 1, 0, -4, -1085409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 49*y**4\/12 + 47*y**3\/2 - 47*y**2. What is the derivative of s(i) wrt i?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1549 equal to -1549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, i: 3, b: 1}. Give prob of picking 1 b, 1 t, and 2 i.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 17*j + 52. What is d(-11)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/4 of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 3. Let c(f) = -5*f - 5. Let a = 11 + -4. Let w(r) = a*y(r) - 4*c(r). What is w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2*(-3)\/22)*(2 - -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -178, -192, -202, -202, -186, -148?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.554 + 7183910738\nAnswer: 7183910739.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 45*a**4 - 9*a**3 + 9*a**2 - 9*a + 3. Let q(v) = -11*v**4 + 2*v**3 - 2*v**2 + 2*v - 1. Let y(n) = 2*c(n) + 9*q(n). Differentiate y(i) wrt i.\nAnswer: -36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 0*p + 4*p**2 + 0 + 0*p**4 + 1\/6*p**3 + 1\/12*p**5. Differentiate b(u) with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 - 3*w + 20. Suppose 5*c + 33 = 3. What are the prime factors of h(c)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1090068 at most as big as 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 920 + -455. Let s = -459 + d. What is the remainder when 42 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -46*r. Let w = 880 + -846. Suppose w*c - 18*c - 2912 = 0. Calculate the remainder when c is divided by b(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 - 15*p**2 + p**2 + 3*p**3 as m + c*p + s*p**3 + u*p**2 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovvvoooovo. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-240*v - 31*v**2 + 240*v)*(-2 + 7 - 4)*(-68 - 9*v + 68).\nAnswer: 279*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-5))\/(((-15)\/(-18))\/((-100)\/(-36)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 198\/(-231)*(2 - 24\/(-9)). What is the second smallest value in j, -0.3, -0.6, 2\/15?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, m: 4, p: 10}. Give prob of picking 2 d.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17590?\nAnswer: 2, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(162\/(-12)))\/(16\/30)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 9874, -1209 in increasing order.\nAnswer: -1209, -7, 9874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let n be p(1). Suppose n + 5 = h. Let d(c) = c**3 - 9*c**2 + 9*c + 1. List the prime factors of d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -156*(-3 - 7\/(-3)). Suppose -q = -2*b - 29, -4*q + 3*b + g = 7*b. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.583 + 0.883. Let p = -0.43 - -0.13. What is the nearest to -0.2 in 3, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Let u(c) = -c**3 - 2*c**2 + c - 1. What is the remainder when u(-3) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 10. Let o be z(-7). Suppose -4*q + 290 = -5*u, -o*q - 5*u + 233 = -u. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -229.3\nAnswer: 114.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 18*c + 6*c + 320 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 319 = -r - 12*r. Let o(d) = d**2 + 29*d - 4. Determine o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -s + 3. Suppose 0 = -s*q + 80 - 2. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2564, -2571, -2582, -2597, -2616?\n\"Answer: -2*p**2 - p - 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Let d(j) = -3*j**3 + 10*j**2 + 13 - j**3 + j + 2*j**3 + y*j**3. Let i be d(-10). Solve 0 = -z - b - 3, -i*z + 2*b - 15 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-95)*(-20)\/13. Let s = 87\/700874 + 5313633253\/346231756. Let z = s + t. What is the common denominator of z and -59\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -6*v**2 - 432\/11*v - 800\/11 - 2\/11*v**3 = 0.\nAnswer: -25, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -40. Let n = c + 73. What is the greatest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 27 (b) 0.2 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 470*v. Let t(x) = 25*x**2 + 120. Let y(u) = 2*u**2 + 9. Let i(z) = -3*t(z) + 40*y(z). Calculate h(i(o)).\nAnswer: 2350*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23\/303399?\nAnswer: -23\/303399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.107*-0.03.\nAnswer: 0.00321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34571 + 49808. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 6 = 3*a + 11*p, 75*a + 2*p - 300 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 9*r**2 + 6. Let w be j(9). Find the third derivative of 0*b**w + 6*b**3 - 6*b**3 + 5*b**2 + 2*b**6 wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1925.9.\nAnswer: -9629.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67506.049 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b - 2. Suppose -10 = 6*o - 5*o. Let y = o - -32. What is the smallest common multiple of a(-2) and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*u + 340 = 0, -5*k + 0*k - 820 = u. Let q = k + 430. Find the common denominator of -19\/9 and q\/(-45) + 4\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13349\/10 + 1335. Let l = 3 + -2. Is l greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*o + 1804, 5*u - o - 5101 - 3901 = 0. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322\/17 greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v**2 - v + 6. Let u(o) = -35*o**2 + 2*o - 11. What is -11*g(s) - 6*u(s)?\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 6 + 15 = -27 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3575*c - 38 + 36 + 3928*c.\nAnswer: 353*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.932369 meters to nanometers.\nAnswer: 5932369000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538660 (base 13) in base 6?\nAnswer: 401252105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -46. Let d = 3941.58 + -3895. Let j = d - l. What is j rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 733, 2778, 6179, 10936, 17049?\nAnswer: 24518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 + 2*o**4 + o**4 + (-2*o**2 - 1 + 1)*(2*o**2 + o**2 - o**2) + (2 + 14 + 8)*(0*o**4 + 2*o**4 + 0*o**4) + 3*o**4 + 2*o**4 - 2*o**4.\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.2683 - -0.0683. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/2)*(n*n**(2\/9)\/n)\/n*(n**0)**(1\/52) assuming n is positive.\nAnswer: n**(-41\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Let m = 18 - y. What is the remainder when 47 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**10 assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 1206*a**2 - a - 8*a**3 + 4 + 383*a**2.\nAnswer: -8*a**3 + 1589*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17924530 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.8. Let o = -0.8 + -2.2. What is the third smallest value in o, r, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1078737608 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 6, m: 1, n: 1, i: 1, j: 4, g: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*h + 83*h + 337775 = 0. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 4*u - 2. Let j be y(-5). Suppose j*b - 105 = -2*b. Find the first derivative of -b*m + 3 + 21*m + 1 + 4*m**4 wrt m.\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50359 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 7.1. Suppose -u = -0*u + 2, -5*u = -2*r + 8. What is the third smallest value in t, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*p + 185, 2*x - 175 = -2*x - 5*p. Suppose h + 25 = 3*u + 6*h, h = -1. Calculate the highest common factor of x and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 17. Let p be -4 + 6 - 32\/o. Let x = 115 + -1493\/13. What is the closest to 1 in p, x, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 6*o - 27 = -3*o, 4 = -o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00254302214 to seven dps.\nAnswer: 0.002543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87805 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -208602*p**3 + 232624*p**2 wrt p.\nAnswer: -1251612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 4*w - 18. Let c be u(-8). Let t = -43 - c. Let y(h) = -9*h + t + 10*h + 5 - 5. What is y(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/720 and -73\/1860.\nAnswer: 22320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45509.943 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*m + 1 = 0, m + 9 = 4*q - 12. Suppose -q*g = -0*g - 35. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - g**3 - 3*g**2 + 1 + 2*g**2 - 2*g**2 - 2*g + 2*g**4 in the form b*g**3 + u*g**2 + p*g + s*g**4 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + d**3 - d**3 - 194 + 198 - 101*d**3 - 17*d + d**2 + 18*d + (0 - 1 + 0)*(3*d**3 + 0*d + 0*d) in the form w + c*d**2 + j*d + o*d**3 and give o.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2. Let t(j) = -654045*j. Give t(o(y)).\nAnswer: -3924270*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 377784.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + 3*y**2 + 0*y**2 + (0*y - 4*y + 2*y)*(4*y - 3*y + 0*y) + (1 + 3 - 3)*(2*y**2 - 5*y**2 + 5*y**2).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.7 + 13. Let w = -2.27 - -0.69. Let m = w + 1.54. Is o less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 12*r + 3. Let k be t(12). Is 4 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 1:13 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9 + -8 - ((1 - 119) + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from {l: 8, i: 1, t: 11}?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:18 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**4 + 63*o**3 + 96*o**2 + 28*o = 0. Calculate o.\nAnswer: -1, -2\/5, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - i + 1. Let r(x) = 31*x**3 + 3*x**2 + 3*x - 3. Let w(q) = -2*q**3 - 114*q**2 + 112*q - 235. Let z be w(-58). Determine z*l(v) - r(v).\nAnswer: -31*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 41 + -55 - -76.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t**5 - 25168*t**4 + 175460*t**3 - 106328*t**2 - 250512*t - 75168 = 0 for t.\nAnswer: -1\/2, 2, 6, 1566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2892 not equal to -2893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 6. Let t(w) be the second derivative of w**3\/6 + 7*w**2\/2 - 7*w. Let z(b) = -3*c(b) - 2*t(b). Give z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.5080264.\nAnswer: -1.5240792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4208312 days?\nAnswer: 605.996928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:33 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -186 - -185.95. Let k = -0.4 + 0.5. Which is the third smallest value? (a) 3 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g + 5*g + 0*g. Let u(v) = 790*v - 386*v - 403*v. Determine d(u(k)).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j. Let s(z) = z - 1. Let w(h) = 4*h - 5. Let i(n) = -5*s(n) + w(n). Calculate -51*i(g) - 6*y(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/8 - 3\/(-6). Solve z - l + 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -6 + 22291*z - 22292*z + 7. Let k(b) = 2*b**2 + b - 5. What is -k(r) - 2*u(r)?\nAnswer: -2*r**2 + r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 882719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*h + 20. Suppose -h = 142*k - 148*k. Solve 0 = -5*a - 2*r + 4*r + 14, -a + k = -r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7) + -127*46\/322.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 44 + -22 + 4 + 42.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100275, 0.04, 2, 15 in decreasing order.\nAnswer: 15, 2, 0.04, -100275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 3 - 3)*(-27 - y + 27) to the form q + i*y and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*g**5 - 2*g**5 - g**5 + (-1 - g**2 + g**2 + g**5)*(1762 - 3536 + 1808)*(0 - 1 + 0).\nAnswer: -28*g**5 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-18)*2\/(-5)*3\/2?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25854075 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - t - 7 = 0, 33*p - 30*p - 2*t = -14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/42*(-6762)\/10764. Are -1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15838*u - 33710*u - 61505*u.\nAnswer: -79377*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 3. Let m be j(7). Let h = m - 260\/11. Suppose 6\/11*a**4 + h - 10\/11*a**2 + 10\/11*a**3 - 10\/11*a = 0. What is a?\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-918)\/126)\/(-17) - 11\/(-7). Suppose -4*c = c - 15. Suppose 2*n**2 + 30*n**c - 32*n**3 + 4*n**2 + 9*n - g*n**4 + 4 + n = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 21*j + 6. Suppose -q - 2*q = 5*m + 11, 4*q + 5*m + 13 = 0. Let u(x) = 4*x + 1. Calculate q*h(o) + 11*u(o).\nAnswer: 2*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and 101\/5266?\nAnswer: 26330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5 - 2. Is -1\/10 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 539392620 divided by 8989877\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 276 (c) 0.17 (d) 5 (e) -3\/2 (f) -1\/3 (g) -595\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 5*k**2 + k + 6. Let d be v(-5). Let c be 2\/((12\/(-15))\/d). Let p be 3\/(-1) + 1 - 1. Put p, c, 1\/5 in increasing order.\nAnswer: p, c, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 9\/2 (c) -18 (d) -1\/7 (e) -5\/2 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/(-18)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145 and 2.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8160 and 22980?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t**2 - t**2 + 0*t**2 - 4*t**2 + 3*t**2 + 0*t**2 + (t - t - 2*t)*(t + 0 + 0) + 3*t**2 - 5*t**2 + t**2.\nAnswer: -3*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h. Let c be r(0). Factor 0*v + v**2 + 3 + c*v + 2*v**2 - 6*v.\nAnswer: 3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 11325203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 22781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/(-134))\/(((-36)\/(-336))\/((-2)\/(-21)))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/68358 and -131\/582.\nAnswer: 6630726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.08, 0, -3.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*v = 30, 0 = -223*h + 227*h - 2*v - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232600696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 219721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0\/1 - (-9)\/7. Let y = 101 - 104. Which is the smallest value? (a) z (b) 0 (c) y (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-351 - -36)\/(1\/(-2))?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (91\/26)\/((-2)\/(-4)). Let k = s + -1. Suppose -5*b + 2 + 6 = -o, 6 = 3*o. Solve -4*l + k = c + 19, 2*l + 2*c + b = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 14*u = -0*u. Suppose 0 = 4*r + 2*i - 70, 0 = -2*i - u + 6. Solve -5*b + 3*h - 12 = 0, b - r = -2*b - 4*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316 divided by 30?\nAnswer: -386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m + 4*m. Suppose m = -33*g + 37*g - 268. What is the remainder when g is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/8*((-10)\/(-16))\/1.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 72\/18*(-3)\/(-4). Suppose 0 = -3*x - m - m, 4*x - m = 0. Solve -4 = -5*v + 21, -2*j - b*v + 9 = x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 82814465811 and -0.3.\nAnswer: 82814465810.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 14, 38, 25, 27 in descending order.\nAnswer: 38, 27, 25, 19, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*m - 3097 - 4023 = 37*m. Let t(v) = v**2 - v + 20. Let w be t(0). What is the highest common factor of m and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**3 - z**2 - 3*z + 3. Let o be f(2). Let j(t) = -34*t - 947. Let q be j(-28). Solve q*d + 5*u = -o, -4*u + 12 - 4 = -3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5 + 568*q**4 - 24908*q**3 - 2494632*q**2 + 18252414*q + 344334240 = 0. Calculate q.\nAnswer: -48, -9, 15, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2 + 1 - 15*q - 6 to the form s*q + m and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:00 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from tddwdddtddtw?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -0.6. Let l = 1.1 + g. What is the nearest to -1 in -1, 2, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 21*l**2 - 28*l + 22. What is the units digit of n(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -320 + 233. Let j = -81 - g. Find the common denominator of j and 62\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309320072 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4257)\/(-15093))\/((-66)\/36).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l*l*l**1)\/(l**17*l*(l**(-1\/6)\/l)\/l) assuming l is positive.\nAnswer: l**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(7))*6.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:52 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4467*b**4 + 15339 with respect to b.\nAnswer: -17868*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(72)\/sqrt(3))\/(sqrt(3) + sqrt(3) + (sqrt(336) - sqrt(21))\/sqrt(7) + sqrt(3)) + (-6*(4 + sqrt(8)*4))**2.\nAnswer: 13823*sqrt(2)\/6 + 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, w: 1, d: 3, v: 3, k: 1, g: 1}. What is prob of picking 1 d and 1 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 29. Let y(b) = -14. Suppose 0*l = 3*l - 12. Let g(u) = l*x(u) + 9*y(u). Does 3 divide g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112583797.\nAnswer: 19, 5925463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464267035.\nAnswer: 5, 7, 11, 17, 409, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12154646.\nAnswer: 2, 7, 73, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20946.012 to the nearest ten.\nAnswer: -20950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 51 = -3*i, s - 56 = -4*i + 12. Let f = 25 + -22. Suppose -2*x = -4*t - x + 123, 79 = 2*t + f*x. What is the remainder when t is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:53 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 67 = -53 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/8)\/(6\/(-4)). Let j = 19 + -4. Calculate the remainder when j is divided by (1\/3)\/(p\/24).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1600 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 52742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (490\/56)\/(90\/(-27)*-1).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.8393 * -18.5.\nAnswer: -145.02705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2670, -2, -40, 5 in decreasing order.\nAnswer: 2670, 5, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -5*i + 2*u, -18*u + 110 = i - 19*u. Suppose -11*d - i = -332. Solve -5 + d = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.07 * -0.1217.\nAnswer: 0.373619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 3. Let u be (11 + -10)*(1 + -1). Let g be z(u). Suppose 0 = -48*q + 30*q + 72. Solve -6 = -q*x + 2*v, -v - 7 = -g*x - 0*v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and ((8 - 162)\/(-1))\/2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1090 or -1094?\nAnswer: -1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 = -10. What is the remainder when 108 is divided by q + 9\/(-11) - (-1530)\/55?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323*l**5*m*t**2 - 6*l**3*m*t + 4*l**2*m + 4*l*m*t**2 - l*m*t wrt l?\nAnswer: -19380*l**2*m*t**2 - 36*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4154*q**4 - 5*q + 356 wrt q?\nAnswer: -49848*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -207, -325, -553, -915, -1435, -2137, -3045?\n\"Answer: -4*l**3 - 31*l**2 + 3*l - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 4) to base 8\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425 - 710 = -886*o + 837*o + 1560 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23 + m - 23 - 2*m. Let k(v) be the first derivative of -11*v**2\/2 + 7*v - 199. Calculate y(k(b)).\nAnswer: 11*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 22*o + 76 - 357 + 103, -4*g + 4*o - 2 = 50 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1585*-223.\nAnswer: -35.3455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0156 and -0.3?\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 596.22 - 590. Let p = q - 7.9. Let y = p - -1.6799911. Round y to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -557 + 552. Let b(t) = 2*t - 10. Let v(j) = 3*j - 11. What is g*v(n) + 6*b(n)?\nAnswer: -3*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1380\/5980*2\/12*4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 306 + 145. Suppose 431 - z = -4*w. Solve 4 = w*n - 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q + 2*q**3 - 4*q)*(-4 + 2 + 3)*(8 + 3 - 1) as p + g*q + z*q**2 + r*q**3 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757750, -757742, -757736, -757732, -757730, -757730, -757732?\nAnswer: -757736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 63*y + 8 = -68*y, -4*y = -3*x + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/16348 and -107\/6751724.\nAnswer: 6751724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63.091 or -20\/17?\nAnswer: 63.091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) - 24\/18. Which is the nearest to 0? (a) 5 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8825 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 65*d**3 - 13. Let s(c) be the second derivative of -33*c**5\/20 + 3*c**2 + 2844*c. Give -6*l(o) - 13*s(o).\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*c - 96, 5*c + 4*r = -0*r + 120. Suppose 66 = 6*u - c. What is the highest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-9) - -2 - 55\/(-15). Let g(d) = -d**2 + 8*d - 4. Let a be g(3). Suppose -5*y + 14 = -a. Solve y*k - t = 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*n + 5, 2*v + 3*n = 5*v - 9. Let d be 6 - (2 - 3 - -1). Factor -o**v - 10 - 3*o - 15 + d*o + 7*o.\nAnswer: -(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a - 37. Let n be f(5). Let s be (n\/4)\/((-81)\/(-19224)). Round s to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1303862.6 - -14134292. Let c = d + -12830397.9999492. Let f = 31.4 - c. Round f to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011930335 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/16 + 3*f**3\/2 + 178*f - 1. Factor b(p).\nAnswer: -3*p*(p - 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:09 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -17*d**2 - 43*d + 6. Let w(z) = -8*z**2 - 21*z + 3. Let i(u) = -6*o(u) + 13*w(u). Let m be i(-8). Let s(q) = -q**2 - 5*q + 2. Calculate s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + -60)\/(-6) - 7. Suppose -k*p + 26*p = -15*p. Solve -12*x + 14*x + 6 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from {b: 6, f: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = d - 13, 5*d = 5*h - 2 - 33. Suppose h*m = 2*m + 18. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/7 + 2622*f\/7 - 7884\/7 = 0. What is f?\nAnswer: -1314, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 - 2.09. Let k = 4.96 + 0.04. What is the nearest to 1 in k, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164705 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/(21\/35)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.706 and -0.1637.\nAnswer: 1.2614722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-4))\/(-3))\/(21\/42).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in -5, 6, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*m + 199 wrt m.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 6:08 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101, 401, 897, 1583, 2453, 3501, 4721, 6107?\n\"Answer: -a**3 + 104*a**2 - 5*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*t + 56*t = -30. Let r(s) = -s**2 + 7*s - 6. Let d be r(5). Suppose -t*g + 103 = q - 51, g + d*q = 77. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2269610641?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-80)\/15 + 6)\/((-2)\/(-3)). Let b = c + 12. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 376*l**2 + 126*l**2 + 311*l**2 in the form o + n*l**2 + p*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfef. Give prob of sequence eff.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -129 (b) -2 (c) -1 (d) -4515\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.97 - -6.97. What is the second smallest value in 0.08, -0.04, l?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -733*j**2. Let w(o) = 515359*o. Calculate s(w(h)).\nAnswer: -194681060879773*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9984042 + -10103845975\/1012. Let q = 548549\/23 - 23854. Let x = c + q. What is the common denominator of x and 34?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*g = -5*g + 393105, 3*q = -4*g - 235842. Let c = q - -131618. Round c to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-13\/2)\/p*p*p)))\/p*p**6 assuming p is positive.\nAnswer: sqrt(p)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5313597282 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y**3 + 33*y**2 - 9*y - 3. Let g(m) = 13*m**3 - 34*m**2 + 10*m + 2. Let f(d) = 3*g(d) + 2*v(d). Suppose f(w) = 0. What is w?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2 - 416*p\/5 - 56\/5.\nAnswer: 2*(p - 14)*(15*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + b8a91c?\nAnswer: b8a92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 343 - 282. Suppose 12*z + l - 109 = 0. Solve 6*u + z = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 404, -94, -0.7, -0.5 in ascending order.\nAnswer: -94, -0.7, -0.5, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*p = -2*f + 21, -4*p = 3*f + 14. Find the second derivative of m**f + 4*m - m**2 - 7*m**2 + 2*m**2 wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1898\/14845 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 7*d**3 + 8329*d**2 - 26243*d + 3579 = 0.\nAnswer: -1193, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 613416 * 88.\nAnswer: 53980608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**42\/(a\/a**(-9)*a\/(a\/a**9*a*a)) assuming a is positive.\nAnswer: a**(-101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 0.469 (c) -5 (d) 13 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/15*((-45)\/20)\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(2*j**2 + 1 - 1) - 53*j**3 - 25*j**3 + 751*j - 748*j.\nAnswer: -74*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5379 and 17604.\nAnswer: 193644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047545243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -288186*m**3 - 847891*m**2.\nAnswer: -1729116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 2*f**5\/15 + 5*f**4\/24 + f**3\/3 - 10*f**2. Let b be (3 + (-9)\/6)*-4. Let c(x) = -15*x**2 - 9*x - 4. Give b*c(v) - 11*d(v).\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13111 divided by 1873?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/3 - 38*o**4\/3 + 472*o**3\/3 - 718*o**2 + 1293*o - 720 = 0. Calculate o.\nAnswer: 1, 3, 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*p + 1401 = 0, 31*m - 4*p - 954 = 29*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-1 - 2 - -10 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 23. What is o(9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*t = -2, -16 = -2*o - 2*o + 2*t. Suppose -7*m + 4 = -5*m. Factor 3 - m*j - 2*j**2 + o - 5.\nAnswer: -2*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30372 is divided by 5055?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgbpg. Give prob of picking 1 p and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2078*y - 1418. List the prime factors of h(10).\nAnswer: 2, 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 6) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -147\/52 + 40\/13. Put h, -2, 65, -0.5 in decreasing order.\nAnswer: 65, h, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4 (c) 1316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 + 2*a + 1. Let s be f(-3). Suppose o = -o - 4*z + 38, -z = -s. What is the lowest common multiple of 2 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -14, -13, -8117.\nAnswer: -8117, -14, -13, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**3 - 14*g**3 - 58*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*u + 5*u + 3*u + 6*u + 390 as w*u + z and give z.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.2, -0.01, 0?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/96586?\nAnswer: -1\/96586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*i + 81*i - 75780 = 0. What is i rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 8. Does 9 divide (252\/(-140))\/(l\/110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.03 (b) -0.1 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11831 by 765.\nAnswer: 11831\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -424?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*24\/(-20)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/10*2\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.588145 centuries?\nAnswer: 7905.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6243 equal to 0.44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3497 - 5?\nAnswer: 3492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-7 + 12 - (-2 + -35)) + (-58 - -47))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*g - 79*g = 2. Sort -4, 1, g.\nAnswer: -4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydhhyfherfhhr. What is prob of sequence rer?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7687*v**2 + 2000*v.\nAnswer: -15374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(75\/12))\/((-48)\/(-120)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1bb?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18303894 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**2 - 4*m**2 - 3*m**2)*(-2*m + 4*m - 4*m) - 9*m**2 - 12*m**3 + 9*m**2 to f*m**2 + v*m**3 + x + y*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s - 1. Let o(m) be the third derivative of m**4\/6 - 42*m**2 - 2*m - 4. What is -3*g(a) + 2*o(a)?\nAnswer: -4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from {z: 1, c: 4, l: 5, t: 5, s: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31536 and 6351.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bee when three letters picked without replacement from {b: 5, e: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 416 - 281. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 6. Let g(n) = -n**2 + 27*n - 24. Let c(z) = -g(z) - 4*t(z). Calculate c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/6 + (38 - -1). Suppose -3*k = -o - 68, k = -0*k - 4*o + p. Solve -5*z - 4 + k = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2053 or 2054?\nAnswer: 2053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from dddqqdddqqdqddddddd?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**4\/24 - 37*c**3\/6 + 102*c**2 + 1443*c + 2. Factor t(l).\nAnswer: (l - 68)*(l - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-5) + (-864)\/(-15) is divided by (-7 - 9\/3)*(-1 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 8*b + 1. Let w be g(3). Sort 5, 4, w, 2 in ascending order.\nAnswer: w, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 6*v - 2*v + 62, 5*o - v - 53 = 0. Suppose 7*n + 243 = o*n. Is n a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/30 + l**4\/6 - 9*l**2. Suppose o(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from niiccccniniicccc.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 2*j + 6. Let h be m(-4). Suppose 0 = r - 2 - h. Let i = 19 - 13. What is the lowest common multiple of i and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsnnnnnsnssnnsnnsn. What is prob of sequence snn?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 9\/2, -0.4, 3\/4, 0.37 in increasing order.\nAnswer: -0.4, -2\/7, 0.37, 3\/4, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven fifteenths of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -8) + 1 + -5 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64527*b - 64483*b - 396 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11937294 or 11937292?\nAnswer: 11937292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6*((-61)\/10 - -6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 133*g - 164*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 5*b + 3. Let n be ((-14)\/(-21))\/(16\/(-24)). Let c be o(n). Solve 5*h = 0, 6 = -0*s - 2*s - c*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 1, p: 7, u: 1, k: 4}. What is prob of picking 2 p, 1 k, and 1 n?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**3 + 0*o + 26*o**3 + 2 + 913*o**2 - 3*o - 915*o**2 to l*o**2 + v*o + k*o**3 + q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/(32\/(224\/14)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147165894 to the power of 1\/2, to the nearest integer?\nAnswer: 12131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -5. Let r be -3*(-5)\/10*2\/3. Put r, h, 0 in increasing order.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 + 0*p - p**2 - 2*p + (24 - 23 - 25)*(p + p**2 - p).\nAnswer: -20*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-11)*y**(5\/4) assuming y is positive.\nAnswer: y**(-35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 4*s - 20 = 0, -11*m + 219*s - 223*s - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.94 - -0.06. Let l = 5.6 + -6. Which is the second smallest value? (a) -4 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 + -63. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + t**2 + (-6*t - t + 5*t)*(19*t - t + 106*t).\nAnswer: -250*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010988 take away 1610761?\nAnswer: -1610760.989012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((10\/(-65))\/2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*r**3 - 120*r**3 - 4*r + 4*r.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1967 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d. Let x(c) = 10*c + 37*c**2 - 10*c + 11*c**2. Determine n(x(u)).\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201 + 142. Find the common denominator of 3\/4 and (q\/8)\/(25\/(-20)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826 is divided by 304.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/7065 and 4\/63585?\nAnswer: 63585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 35. Let b = -24 - k. Suppose 0*r + 16 = 5*r + u, b*u + 4 = -2*r. Solve h - 1 - r = -4*w, -3*w = -2*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -28*l - 83. Let v be x(-7). Let q = -117 + v. Sort -1, -2.3, q in increasing order.\nAnswer: q, -2.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 6*h. Let b be d(5). Let i = 3 + 2. Let l(s) = -b + s + i. Let o(p) = -p. What is o(l(x))?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 5*i - 12, -3*o + 65*i + 20 = 63*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756796226.\nAnswer: 2, 3, 31, 191, 49451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 + 1192*s**4 - 5998*s**2 - 2*s + 1 wrt s?\nAnswer: -120*s**2 + 28608*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, a: 1, p: 3, f: 2, h: 1, q: 1}. What is prob of picking 1 q and 1 t?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*d + 8, 2*a - 44 = 6*d - 2*d. Suppose f - a = -7*y + 3*y, 3*y + 5*f - 22 = 0. Let i be (-2)\/y*-6 + -3. Solve -3*r = -i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -219537928787 - -219537928645.672142287. Let m = 11.327856403 + u. Let d = m + 130. Round d to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1053) - (sqrt(1053) + 3 + sqrt(1053))) + sqrt(325)*-3 + 0)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1394758846?\nAnswer: 2, 13, 17, 3155563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.45. Let d be (-13)\/(-14) - (-1 + 6\/4). What is the second smallest value in m, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2370125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -24.92?\nAnswer: -24.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3213967630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) 6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 1. Let k(o) = -5*o. Let n(x) = k(x) - 4*r(x). Let q be 245\/2*((-1764)\/(-35))\/(-7). Let c = -882 - q. Give n(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71638342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 + 6*o**2. Suppose 5*z - z - 32 = 0. Let y = z - 1. Let d(q) = -q**3 + 2*q**2. Calculate y*d(x) - 2*m(x).\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.8 and -19898?\nAnswer: 772042.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9724*c**3*f**2*k**2 - c**3*f**2 - 44*c**3*f*k - 167*c**3*k - c**2*f**2*k + 827*c**2*f*k**2 - 172*c wrt k?\nAnswer: 19448*c**3*f**2 + 1654*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, j: 4}. What is prob of sequence gg?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*w - 71, -2*w = 2*y - y - 74. Calculate the common denominator of (-7)\/((-42)\/(-6)) + y\/30 and 2 + (-174)\/(-9) + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d95 (base 16) to base 3.\nAnswer: -11202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138736479*c**3 + 133*c**2 + 34*c + 179.\nAnswer: -832418874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4198.\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m + 5. Let n(u) = 7*u - 4. Let v(b) = 5*n(b) + 4*q(b). Let a(z) = 2*z + 132. Let p(w) = -3*w - 188. Let l(f) = -10*a(f) - 7*p(f). Give v(l(o)).\nAnswer: 3*o - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l. Let p(m) be the first derivative of 2*m**3\/3 + 5*m**2 + 13. Let w = 13 + -19. Let a(y) = w*p(y) + 13*k(y). Factor a(h).\nAnswer: h*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174338406*i**2*x**3 - 98*i**2*x + 82*i*x**2 - 533*i*x - x**2 - 2 wrt x.\nAnswer: 1046030436*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1221310 + 10?\nAnswer: 1221320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, 25, -30 in decreasing order.\nAnswer: 25, 1, 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17520 divided by 1460\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 10.000165. What is c rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 - -187. Solve 5*b - c*g = 22, -g = 4*b - 0*g - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 34 = 2*o, -5*f + o + 2*o + 144 = 0. Suppose f = 3*y + 6. Calculate the highest common divisor of y and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77523796.\nAnswer: 2, 7, 383, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**3\/d*d)\/(d**0\/d))\/(d**(-4\/9)*d\/(d\/d**(-4))))\/((d\/d**0*d**0)\/(d**5\/(d**(4\/5)*d*d))) assuming d is positive.\nAnswer: d**(434\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 + 30113?\nAnswer: 23233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grl when three letters picked without replacement from tlgrrtwrwrw?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 + 5 = 0. Suppose r*k - k - 36 = 0. Suppose -48 = -c - k. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbxx. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from bakddbwkkkd?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163 + 109. What is the highest common divisor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4 - 11. Suppose -2 = -3*y - 5. Sort 4, s, y in decreasing order.\nAnswer: s, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 414a39 (base 13) to base 7\nAnswer: 15645622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 90, 1\/8, -2\/49, -0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 28*j + 1364. What is the lowest common multiple of r(-48) and 566?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*2\/6 - -1. Solve 4*w - 14 - z = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 648.23 and -1.6.\nAnswer: 646.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o + 12. Let d = 66 + -43. Let b = -14 + d. Let q be j(b). Solve -q*y + 2*w - 7 = 6, -5 = 5*y + 5*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 451\/4 or 113?\nAnswer: 451\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(7488) + 0) + (sqrt(7488) - (0 + sqrt(7488))*-3)*-4)**2*-5 + 5.\nAnswer: -12130555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20326 + 25929 - 13174)*(0*i - 5*i + i) to the form m*i + s and give m.\nAnswer: 30284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 9*t**2. Let m be w(9). Suppose -146 = -4*i + 2*h - 0*h, i - 2*h - 35 = m. Is i*(5 + 6) + (1 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + (1 - -7) + -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 263*i - 200. Let l be q(-16). Let v = -39625\/9 - l. Calculate the common denominator of v and 56\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s. Suppose -5*f - c = -92, 4*c = c + 6. Let y be (24\/20)\/(195\/25 - 7)*12. Let z(j) = -f + y + 6*j**2. Give z(i(a)).\nAnswer: 216*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 139*z - 386. Calculate h(49).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148551, 148430, 148309, 148188, 148067?\nAnswer: 147946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 34353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1216))**2 - (sqrt(2736) + sqrt(2736) + -1 + sqrt(2736) - sqrt(2736))**2.\nAnswer: -9728 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*h**6*y**2 - 75*h**6 + 3*h**2*y**2 - 17*h**2*y - 2*h*y**2 - y**2 wrt h?\nAnswer: 2400*h**3*y**2 - 9000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 18 + 2*q - 7)*(8 - 4 + 4)*(0 - 2 + 1).\nAnswer: -16*q - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - d - 45. What are the prime factors of t(10)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -18, 531, -3 in increasing order.\nAnswer: -18, -4, -3, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**2*m**2 + 33394*i**2*m + 28545*i*m**3 + 53*i*m wrt m?\nAnswer: -8*i**2 + 171270*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 25, 1\/2, 3\/5 in descending order.\nAnswer: 25, 3\/5, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 + -16. Let j be (p\/28)\/(2\/(-4)). Let g be 2*(-2)\/8*0. Which is the nearest to 1? (a) j (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(((-24)\/(-16))\/((-15)\/40)). What is the closest to 4 in 1\/5, -12, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79260725759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -316447*y**2 + 1917*y + 1278. Let v(b) = -992*b**2 + 6*b + 4. Give -2*d(h) + 639*v(h).\nAnswer: -994*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*r + 309*r - 143*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/17 smaller than 365692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-2\/17))**(-28) assuming u is positive.\nAnswer: u**(-1008\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449\/4 - (-22)\/(-88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 286*k**2 - 708*k + 2. Determine c(2).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1\/8 (b) -2\/39 (c) 2\/11 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11377\/3 + 75857\/20. Find the common denominator of -137\/6 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccsslaalssclaslccac. Give prob of picking 4 a.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5364*n - 21429. What is w(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 2 - 2 + 0*h as q*h + d and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1. Which is the third biggest value? (a) -3\/5 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 717*g - 63732. Determine k(195).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -8*t**4\/5 + 403964*t**3\/5 - 7470804*t**2\/5 + 10499284*t\/5 - 3432436\/5 = 0.\nAnswer: 1\/2, 1, 17, 50477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13977840857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let q(h) = 45*h**2 + 18*h + 29. Let m(a) = -4*n(a) + q(a). What is the hundreds digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, z: 4, n: 6, w: 1}. What is prob of picking 1 s and 1 n?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*q - 0*q - 10, -2*q + 3*h + 2 = 0. Suppose p + q = 2. Let k(a) = -7*a + 4. Is k(p) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + z**2 + z - 38. Suppose -2*x = 2*x. Let k be m(x). Let v = k - -58. What is the least common multiple of 18 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*y, -4*j + 2*j + 4*y + 36 = 0. Calculate the smallest common multiple of j and 52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 + 6. Suppose -2*a - 2*u + 56 = 0, -4*a - 4*u + 137 = -k*u. What are the prime factors of a?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**3*p - n**3*q + 559*n**2*q - n**2*x - 7*n*p*q*x - 57*n*p*x - 2*p*q + p + 2*x wrt n.\nAnswer: 42*n*p - 6*n*q + 1118*q - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -890045.\nAnswer: 890045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (8 + 3)) + -1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + y**2 - y - 1. Let w be l(0). Let v be (-4)\/(-14) + (-244)\/(-28). Let a = v + w. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4004705322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*p - 4*f - 2, 0 = -2*p + f. Let j be ((-5)\/(-2) - 2)*-2. Let c(n) = n + 1. Let q(d) = -2*d - 2. What is j*c(a) + p*q(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2482 - 2508 + 18*j - 26*j.\nAnswer: -8*j - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*24\/(-12)*(-2)\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.775 + 4.772027. Round z to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 255 = 375. Suppose 28*l - 868 = -34*l. What is the greatest common factor of l and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2, 646, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let t(g) = -g - 25. Let k be t(-7). Let o = -15 - k. Solve 4*r = -u*r - o*l - 4, -2*r = -2*l + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**3 - 3*q**2 - 3*q. Let o(z) = -3*z**3 + 2*z**2 + 2*z. Let d(t) = t**3 + 8*t**2 - 7*t + 15. Let i be d(-9). Determine i*o(j) - 2*f(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34770 (base 10) to base 14.\nAnswer: -c958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -972*f**6 + 17*f**2 + 2*f + 16 wrt f.\nAnswer: -116640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 5\/3*s**3 + 0*s**2 + 21\/4*s**4 + 6*s + 3. Find the third derivative of t(x) wrt x.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t = -6*t + 187 + 781 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7*w + 12, 4*x - 1959 = w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldd when three letters picked without replacement from ldlldlldld?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8926*g. Let h(j) = 4*j. Determine l(h(y)).\nAnswer: -35704*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20472277*k*l**2*v**2 + 5*k*l*v**2 - 38*k*l - 1938*k*v**2 - 2*l*v**2 + v**2 wrt l?\nAnswer: -40944554*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-63052)\/24)\/(2\/(-12)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.44 * 0.09181.\nAnswer: -2.2438364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 2\/((-16)\/(-366)) + 151\/604.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 3, -4, 1, -2 in descending order.\nAnswer: 18, 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3266, -1725, 4616, 15757, 31698, 52439, 77980?\nAnswer: 108321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmq when four letters picked without replacement from mqqmqmqqmq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2483, 4938, 7393, 9848, 12303?\n\"Answer: 2455*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5520 - 424?\nAnswer: 5074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9660930 from -211416.\nAnswer: 9449514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39.96 - 40. Sort -4, -3\/5, t, -1\/26.\nAnswer: -4, -3\/5, t, -1\/26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.9 + -0.9. Let m = -0.654 - -0.104. Let x = 0.35 + m. Which is the biggest value? (a) -1 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/(-6))\/(496\/31 - 132\/9)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -4*y + 0*y**3 + 0*y**4 + 0 + 3\/20*y**5 + 3\/2*y**2. Differentiate v(u) with respect to u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8905.451427 to 1 dp.\nAnswer: -8905.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 38\/16 - 13\/9880*365. What is the third biggest value in -6\/29, u, 1\/9, 2\/11, 2\/7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + k - 3*k)*(19484 + 462*k - 19484) to h + m*k**2 + z*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 - o**2)*(-2*o**2 + 2*o**2 - o**3) + 9*o**5 + 7*o**5 - 5*o**5 + 7 + o**5 - 3*o**5 - 4.\nAnswer: 10*o**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/12 + 15*o. Let a(n) = -19*n - 2. Let k(p) = 19*p + 2. Let z(c) = -2*a(c) - 3*k(c). Determine z(g(b)).\nAnswer: -19*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36079 + 36215. Solve -33*k + 4 = c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.95999 - -0.04001. What is the smallest value in x, 7, -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 3:31 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25863 (base 15) in base 5?\nAnswer: 12320033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 11498.23 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - (-6 + 3 + 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -217 - -223. Let u be 1 - (-1 + m) - -9. Solve 14*r - u = 15*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.92 + -0.08. Put 3, n, -2 in ascending order.\nAnswer: n, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2)\/(3\/18). Let d be (2\/9)\/(12\/g). Sort -1, -5, d in increasing order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100937*u**3 - 3*u - 40677 wrt u.\nAnswer: 605622*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1859 - 1272. Let c = 604 - s. Solve -5*b = -2*n - 31, 4*b = -2*n + n + c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1329604 and 1836?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-13)\/i**(1\/3)*i**6\/(i*i**(-2\/3)) assuming i is positive.\nAnswer: i**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 1 - (1 - (-9 - 2 - -10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 42. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a025 (base 13) in base 12?\nAnswer: 10895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = 36*p - 24375. Is 20 a factor of (-16)\/((-12)\/(-78) - 380\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 - 3*q - 8. Let h be f(-4). Solve -v - 5 + h = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 3. Let i be v(0). Let p be (-15)\/(-10) - i\/2. Put p, 0.9, 2\/17 in ascending order.\nAnswer: 2\/17, 0.9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + f**2 - 9*f + 4. Let t(a) = -5*a**3 + 12*a - 5. Let z(u) = -4*n(u) - 3*t(u). Let k(i) = -4*i + 12. Let s be k(4). What is z(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-72))\/(8\/240)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -154875752 and -154875751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 1\/2 (b) 93 (c) 6 (d) 16 (e) -7\/6 (f) 4 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 4 (b) -3\/2 (c) -2 (d) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -30 + 98 - 76.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3*c = 21, -3*c - c - 20 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21673800 + -21673799.0000007. Let d = r + -1. What is d rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-2340)*2\/(-6). Let o = -354\/455 + m. Calculate the common denominator of (-107*(-3)\/15)\/(602\/(-215)) and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 10*a - 1. Let o(i) = -i + 1. What is 4*o(t) + z(t)?\nAnswer: 2*t**3 + 6*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g*y**2 - 6*g*y + 1967650*g - 39*y**3 + 25436*y**2 wrt y?\nAnswer: -6*g - 234*y + 50872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -n - 118, 65*n - 15 = 119*n + f + 78 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 786 and -17 + (-16 - -12) + 1331.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/100)\/((-15)\/12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89 - -2133494?\nAnswer: 2133406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1117 + -1112. Let u(g) = g**3 + 2*g**2 - 1. Let o be u(-1). Solve -2*a + w + w + 8 = o, 20 = -5*a - j*w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 25 = -17*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 22, -3, 0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 825660 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1249990 and 803565?\nAnswer: 11249910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/59)\/(n**(1\/5)\/n) assuming n is positive.\nAnswer: n**(226\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, n: 1, g: 10, w: 1, p: 2, z: 5}. What is prob of sequence gpwn?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 less than or equal to -1.373285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79\/235 + 3\/47. What is the nearest to -0.1 in 0.01, n, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1197 - -1064.7. Round b to 0 dps.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -6. Suppose j*v - 12 = 10*v. Put v, 4, -4, 2 in descending order.\nAnswer: 4, v, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**8\/168 + 26*u**7\/35 + 1123*u**6\/60 + 2674*u**5\/15 + 844*u**4 + 5824*u**3\/3 - u**2 - u - 116. Factor j(g).\nAnswer: -2*(g - 91)*(g + 1)*(g + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j + 745 + 14466 = 0. Let b = j + 292. Solve b*x + 11 + 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 15, 16, 17?\n\"Answer: l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -k - 2*k + 24, 5*k - 32 = -a. Let m be 1859\/(-429)*12\/(-338). What is the third smallest value in m, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312485060?\nAnswer: 2, 5, 15624253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (66\/(-2))\/3 - (-1961)\/159. Solve 4\/3*a + 8\/3 - 16\/3*a**2 + 8\/3*a**4 - 8\/3*a**3 + r*a**5 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (25 + -5 + -17 - (1 - 9)) + -11.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 23, -25, -73?\n\"Answer: -48*z + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Let r(s) = s**3 - 5*s**2 + 5*s + 1. Is 13 a factor of r(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sseskzz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 + 61166*r**3 + 94886*r**2 - 7.\nAnswer: -48*r + 366996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 946 (b) 325 (c) -87\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8138*g**3 - 2*g**2 - 74*g + 17 wrt g?\nAnswer: -48828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -2.5, -58, 1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2575*u - 167*u**3 + 177*u**3 - 2575*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 15, 31, 45, 51?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 6:23 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 5155?\nAnswer: -5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6024\/21084)\/(-5 - -2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 382512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 13. Let a(w) = w**2 - 8*w - 9. Let s be a(11). Calculate the highest common factor of f and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -18*s**5\/5 + 4449*s**4\/5 - 121809*s**3\/5 + 136818*s**2\/5 - 3888*s = 0.\nAnswer: 0, 1\/6, 1, 30, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12142720?\nAnswer: 2, 5, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-2))\/((-5)\/5))\/(3665\/733)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145 - 2*o**2 + 821 - 229 - 3*o**2 + 3*o**2.\nAnswer: -2*o**2 + 1737","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 12. Let j(o) = o**2 - 75*o + 7. Let c be j(0). Let q(w) = 2*w - 11. What is c*q(s) + 6*g(s)?\nAnswer: -4*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 9600?\nAnswer: 9605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -9264781 - 57*f**2 + 9264781 - 69*f + (-3*f + 4*f + 0*f)*(0 + f + 0) - 2*f**2 + 3*f - 3*f as z + p*f**2 + a*f and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60045747.\nAnswer: 3, 29, 211, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/250)\/((-27)\/6885)*(4\/(-3))\/2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11766 and 5533518.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/13 in -1\/10, 5\/6, -2\/63?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*q = -75, 9*q - 4*q = 2*a - 30. Suppose 3*c - 42 = -2*t, -5*c = -6*c - t + a. Suppose -2*g + 19 + 3 = 0. Which is smaller: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 49*s - 3. Let g be u(2). Suppose 3*l + 2*l - 3*r = 115, 5*l = -r + g. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 760*p**2 - 390*p + 1379. What is the first derivative of b(k) wrt k?\nAnswer: 1520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16397 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140183609 to the power of 1\/2, to the nearest integer?\nAnswer: 33767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 641 - 538. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 560556 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -21*l**3 + 35*l**2 + 3*l + 1. Let g(c) = 2*c**3 - 13*c**2 - c + 1. Let v(w) = -3*g(w) - z(w). Let i(p) = -p**3 - p**2 + 1. Determine -4*i(y) - v(y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-10 - -19)) + (-64)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1242 and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -67?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103)\/(-9) + (-456)\/1026.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -6242\/335?\nAnswer: -6242\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6053 greater than 6055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -69.0653 - -76978.208\nAnswer: 76909.1427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 2316336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 741639, -1, 4, 3, -6, 0.\nAnswer: -6, -1, 0, 3, 4, 741639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 676262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12806*m**2 - 7 - 12808*m**2 - 2 - 8 + 17.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2636 (base 7) to base 2.\nAnswer: 1111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -870, -949, -1014, -1059, -1078, -1065, -1014?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + 4 - (3 - -2)) + 2 + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 42 = -19*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 44.68? (a) 2 (b) 1 (c) 0.1 (d) 2\/13 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26857.845 + -26816. Round r to 1 dp.\nAnswer: 41.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 460\/14 + (-2)\/(-14). Let b = t + -22. Let q = -6 + b. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304250 (base 11) in base 7?\nAnswer: -25132620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*c + 45*c - 3*a + a - 18, -2*c = 5*a + 24 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 461*z - 4. Let a be s(1). Suppose -22 = 5*p - 2*o + 258, 168 = -3*p + 3*o. Let q = p + a. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3298 divided by 976.\nAnswer: -1649\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 + 6*m + 33. Let s(d) = -d**2 + 8*d - 3. Let h be s(6). List the prime factors of l(h).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(-45)\/(-27)*-27.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x + 18*x - 1576 = 16*x - 626 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148 - -1337. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3004 is divided by 252?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 50058*k**4 + 72705?\nAnswer: 200232*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -74 divided by 2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 246191445*a**2 + 70170*a + 5 = 0.\nAnswer: -1\/7017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 1) + (84 - 59 - 41)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 113622 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4372 or -4368?\nAnswer: -4372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2\/3 - 7\/3*x**5 + 11\/3*x - 14\/3*x**2 - 4\/3*x**3 + 16\/3*x**4 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*l + 2*l + 4 = 0, -l + 1 = q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3, z: 3, h: 3}. Give prob of picking 1 z and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) 2 (b) 0 (c) -7 (d) 1\/7 (e) -161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 453, 4119, 14237, 34035, 66741, 115583, 183789?\n\"Answer: 538*v**3 - 2*v**2 - 94*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.954 (b) 0.3 (c) 2\/5 (d) -3 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -275*y**9\/252 - y**5\/5 - y**4\/8 - 123*y**2. Find the third derivative of z(o) wrt o.\nAnswer: -66000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4186*g**4 - 3*g - 573 wrt g.\nAnswer: -50232*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Let p(s) be the third derivative of -1\/8*s**4 + 0*s**3 + 0 - 7*s**2 + 0*s. What is p(i(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(1\/5)\/i*i)\/i*i*i*((i\/(i**(-2\/5)\/i))\/i)\/i)\/(i**(-1\/2))**(-11\/9) assuming i is positive.\nAnswer: i**(179\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**2 + 10*j**2 + 12*j**2 + 6*j**2 + 4*j**2 + 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rirjrjjcijirjj. What is prob of sequence irj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 240 + 0*b**2 - 137 - 20*b**3 + 377 + 2*b in the form k*b + y + n*b**2 + d*b**3 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + ((sqrt(209) + sqrt(209) + sqrt(209)*-1*-3)\/sqrt(11))**2*3).\nAnswer: -4272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + z - 5*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**4 - 360*f**2 - 508*f wrt f.\nAnswer: -24*f**2 - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2086980 rounded to the nearest ten thousand?\nAnswer: -2090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -141*j**3 - 8*j**2 + 5*j. Let o(d) = -71*d**3 - 5*d**2 + 3*d. Give 5*o(a) - 3*q(a).\nAnswer: 68*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*q**2 - q**2 + 947*q + 4368 - 967 wrt q?\nAnswer: -2*q + 947","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, 3 in ascending order.\nAnswer: -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249850944?\nAnswer: 2, 11, 421, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 21736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -16, j + 0*d - 2*d = 11. Let y = -37 + 40. What is the remainder when j is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741615.2 centimeters to meters.\nAnswer: 7416.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**4 + 696*s**3 + 7569*s**2.\nAnswer: s**2*(4*s + 87)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241255737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3010201220 (base 4) to base 2\nAnswer: -11000100100001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 37715 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 9. Let g be f(-6). Let i be -3 - (g - 0 - 3). Suppose 21 = k - 4*d - d, 0 = i*k + 3*d - 117. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000000100011100 (base 2) to base 4\nAnswer: 220010130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -400 + 1)*(21 - 16). Does 20 divide -3*(-6)\/(-45)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1999534149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m + 4*o, -5*m + 20 = -0*m + 5*o. Suppose -3*q + q = -3*v - 8, -m*v - q = 35. Let y be (-2)\/(-6) + (-4)\/v. Solve -r + 4 = y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -6, -12, -1 in decreasing order.\nAnswer: 20, -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220 - -11?\nAnswer: 12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - (6 + -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -542*g - 457*g + 405 + 756 - 27 wrt g.\nAnswer: -999","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 9. Let x(u) = -u**3 - u**2 - 7. Let j be x(0). Let y be b(j). Suppose y*c = -4*i + c + 80, 5*c = -4*i + 80. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*a - 18, 0*y = -4*y + 2*a - 2. Let x = -1.7 - -2.8. Let d = x - 0.1. Sort 0, d, y.\nAnswer: y, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, o: 8}. Give prob of sequence fof.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -14 + 5 + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/((-45)\/(-24))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/197 (b) 0.08 (c) 0.5 (d) 3\/2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 255*y**3 - 426*y**2 - 18945*y + 19116.\nAnswer: 3*(y - 9)*(y - 1)*(85*y + 708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.473 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13 - (11 + 5) - (-1169 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 + (-5 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2020*r*s**2 - 3*r*s - 22*r - 1918*s**2 - 12363*s wrt s?\nAnswer: 4040*r - 3836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*l - 108, -4*j + 145 - 37 = -4*l. Suppose -28*d + 17 = -j*d. What is the remainder when 98 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.61531 litres in millilitres?\nAnswer: 81615.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.12208 millennia in centuries?\nAnswer: 371.2208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10 - (-10 + -39*85)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 12. Suppose -m*k - 17550000 = -k. Round k to the nearest 100000.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -10*j**2. Let n be 5 + (0 - 9) - -6. Let a(s) = 4*s**n - 39 - 37 + 76. Give a(q(g)).\nAnswer: 400*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240703775 - 5?\nAnswer: 240703770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 1\/2, -5, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 193 + 82 = -75 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/71639 and -23\/258.\nAnswer: 18482862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -356577865 by -7.\nAnswer: 50939695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -26158?\nAnswer: 26154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + 170. Let q = -6 + 48. Calculate the highest common divisor of q and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*y = -5*t + 14, 3*t - 11 = -2*y. Suppose -r - 4*r + 520 = v, -t*v + 4*r = -1655. What are the prime factors of v?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**31*b)\/(b*b**(-1\/6)) assuming b is positive.\nAnswer: b**(-179\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 115.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*a**3*h**3 + 516441*a**2*h**3 + 15067*h**3 - 4531*h**2 wrt a.\nAnswer: 219*a**2*h**3 + 1032882*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:45 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 + 5*d - 10. Let h(w) = w**3 - 3*w**2 + 3*w - 2. Let f be h(3). What are the prime factors of j(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 182678.\nAnswer: 3\/91339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2)*(-32)\/12. Let b be 2\/i*1*8. What is the closest to 0 in b, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*t = 25 - 3, -3*i = 2*t + 16. Let x be (40\/(-18))\/(i\/9). Factor 4\/3*s + x*s**2 + 0.\nAnswer: 2*s*(5*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212175851 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 2:59 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/58, -9, -162629?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdd when four letters picked without replacement from {d: 5, z: 14}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-35) + 1\/(-21)*6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*2 + sqrt(363) - sqrt(363))*2*1 - (-3 + (sqrt(363) - (sqrt(363) - (sqrt(363) + 3 + sqrt(363) + 3)) - sqrt(363))))**2 + -1.\nAnswer: -198*sqrt(3) + 3275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iijpjssssjzzzsa. Give prob of picking 2 j, 1 p, and 1 z.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 413467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 116. Suppose -4*h - 4*s + m = -8, -3*h = -2*s + 8. Solve 0*g + g - 3 = a, h = 2*a + 2*g - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 30*l**4 - 5*l**3 - 37. Let q(f) = -45*f**4 + 8*f**3 + 56. Let x(b) = 5*q(b) + 8*w(b). Differentiate x(s) with respect to s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 29*n**4\/2 + 159*n**2\/2 - 2*n - 71. Let l(z) = -86*z**2 - 80. Let d(q) = 3*a(q) + 7*l(q). Differentiate d(g) wrt g.\nAnswer: -160*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 249, 2 in decreasing order.\nAnswer: 249, 8, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -44. Suppose -1148 + 176 = u*z. Round z to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 70548?\nAnswer: -1\/35274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 21 - ((4 - 16) + 22 - -6 - 19).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9246, -18465, -27680, -36891, -46098?\n\"Answer: 2*q**2 - 9225*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60382 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c + 25. Let n be q(-3). Suppose -m = 9*k - n*k - 6, -3*m - 6 = 0. Solve -3*y + 9 = 0, 2*y - 2 + k = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2941150 is divided by 735286.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = -10. Suppose -y*x - 15 = 0, -2*f + 4*x = 2*x - 12. Let d = 7 - 5. Solve -d*u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x - 5. What is v(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*d + 14, 3*d = -2*w + d + 8. Suppose 32*o = 29*o + 90. Solve -o = -5*v + w*r - 0, -r = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124\/(-1364) - (-166620)\/33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/n*n*n*n*n**(-2\/49)*n)**34 assuming n is positive.\nAnswer: n**(22984\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/25 and 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2213\/6 + -368. Let g = -3 + 6. Suppose 5*i = g*i. Which is the closest to i? (a) m (b) 0.04 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - j = -175 + 36, -5*j = -2*c - 263. Let l = c + 263. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122000000 (base 3) to base 15\nAnswer: -3a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:22 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3816 + -9217. What is the units digit of (-2)\/(-8) - s\/44?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1717613\nAnswer: 4\/1717613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - t + 5*t - 11 = 0, -4*o = 3*t - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*o = o - 60, 5*p + 3*o - 60 = 0. Suppose 0 = -x + 2*b + 1, -x + 9 + 20 = 5*b. Do p and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -8. Let w be 8*(v - -2)\/3. Let d be (-4)\/w + 1\/2. Solve u - 2 = -d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, c: 15}. What is prob of sequence cvc?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l - 20*l + 136*l = -1496 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 12*w + 9. Let n(g) = -23*g - 16. Let a(p) = 4*n(p) + 7*o(p). Suppose 33*b - 23 = 10*b. Determine a(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzkf when four letters picked without replacement from kfkwtzw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 33 = -5*p, 2*f + 2*p = -6. Suppose 2*v + v + 6 = f*h, 2*v = -4*h + 12. What is the derivative of h*u + 4 + 2 - 5 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1183 and -399?\nAnswer: 472017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 271228085 and 271228085 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l + 4*a + 197264 = 0, 0 = -4*l - 5*a - 197266. Let c = l + 70307. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -353, -77, 213, 517?\n\"Answer: 7*o**2 + 255*o - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -110*c**2. Let f(r) = -5*r**2. Suppose n - 2 = 3, 0 = 2*u + 2*n - 14. What is u*v(x) - 45*f(x)?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1902 - 1901.8. Let k = -14.2 - -14. Which is the nearest to h? (a) -0.4 (b) k (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463638570?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0*n**2 + 0 - 26*n + 25\/12*n**4 + 0*n**3 - 1\/10*n**5. Find the third derivative of t(k) wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 28. Suppose -3*j - b*j = 0. Solve -r + 1 = -j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202187014 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 0 (c) -0.3 (d) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 102, 4, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + 0.95. Let f = a + -1.3. Round f to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 21*o - 12. Suppose 60 = -5*i - i. Let b = i - -14. Does 21 divide a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/352 - ((-2652)\/(-96) - 6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = -4506 + 3707 for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.262 + 0.738. What is the closest to 0.1 in 4, h, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 3*w + 1. Let q be (-58)\/(-7) - (-2)\/(-7). Let x be u(q). Let f = -13 + x. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 1.07. What is the closest to z in 1\/5, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/3 - (-2)\/(-3). Factor 2*z**3 - 10 + 15*z**2 + 3*z**g + 4*z - 5*z**4 + 2*z - 11*z.\nAnswer: -5*(z - 2)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*c - 5*j + 279 = -92*c + 437, 4 = -c + 8*j + 39*j for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 j when four letters picked without replacement from {j: 2, r: 10, y: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = j, 18 - 2 = -9*b + 4*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593196.\nAnswer: 2, 3, 49433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 31*v - 32*v - 19, -10*t + 4*v = -26. Sort 2, t, -4, -5.\nAnswer: -5, -4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*c - 34*c + u = -16, 0 = -4*c - 4*u - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/81 or -0.1?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58685 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-4 - -10) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -5.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-501)\/(-154) - (-6)\/(-33) and 119\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 12, 12, 14, 18, 24, 32?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 8*n**2 + 123 + 0*n**3 + 198 - 29.\nAnswer: n**3 + 8*n**2 + 292","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1951, -3, -5.\nAnswer: -5, -3, 1951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/21 - 18296*p**2\/21 + 1385398*p\/3 + 169013596508\/21 = 0.\nAnswer: -2494, 5821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76818, -154922, -234300, -314946, -396854, -480018?\nAnswer: -564432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*k + 5 - 23, 5*n = 3*k + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 5. Suppose -76 = 6*l - 40. Let y(i) = -4*i - 3. Let b = -12 - -17. Suppose 5*g + b = -50. Calculate g*y(a) + l*z(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-209))\/((24\/(-44))\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301568, 603145, 904722, 1206299, 1507876?\nAnswer: 1809453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44754, 89580, 134418, 179274, 224154, 269064?\nAnswer: 314010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5))**(1\/14)*(r*r\/(r\/(r\/(r**(-6)*r))))\/r**(-2\/11))\/((r**(2\/3)*r)**23*(r*(r\/((r*r**(-2))\/r))\/r)\/r*r**1\/r) assuming r is positive.\nAnswer: r**(-76481\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75211277 is divided by 4300?\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 153, 138, 123, 108, 93?\n\"Answer: -15*y + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/11 + (-896)\/88 - -16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 333840*h + 1669300 = 0. Calculate h.\nAnswer: -5, 83465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 3803408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3. Let b(p) = -3*p**3 - p. Let a(d) = 3*b(d) - 5*m(d). What is the second derivative of a(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 28*x**2 + 5*x + 141. Let m be f(-28). Let z(w) = w**2. Let r(a) = -3*a**2 - 3*a + 3. Give m*r(h) + 4*z(h).\nAnswer: h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14236\/(-17795))\/((-8)\/210).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 5*x - 3*z + 9, 0 = -5*x - 5*z - 5. Sort 13, -2, x in descending order.\nAnswer: 13, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 10. Let n be k(8). Suppose -p = t + 2*t - 6, -p + n = -4*t. Let s = 43 + -13. Calculate the greatest common divisor of s and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 884*o + 4332. Calculate s(-5).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose -o*s - s + 6 = 0. Let w = s - 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 967 - 967.000397. Round m to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1316 - 717734938.8.\nAnswer: -717734938.9316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1795\/7 - 257. Let m = 81.46 - 81.46. Sort 0.15, -4, m, v in ascending order.\nAnswer: -4, v, m, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5557060 (base 8) in base 3?\nAnswer: -2211010210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5943 (base 16) to base 12.\nAnswer: -11283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 + 2*s + 7. Let j be h(5). What is the greatest common divisor of 136 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3221*r**2 - r - 27. Let q(b) = 646*b**2 - 5. Give 2*c(l) - 11*q(l).\nAnswer: -664*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 395007942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 388360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(9\/5)\/(y\/(y*y**(-3)*y*y)))\/(y**(3\/25)*y**(-3\/2)*y) assuming y is positive.\nAnswer: y**(59\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 13*t**3 + 2 - t**2 + 12*t**3 + 0 to the form h*t**3 + z*t**2 + a*t**4 + d + i*t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**2 - 636*s - 4115. Let v(m) = -2*m**2 - 157*m - 1029. Let g(i) = -3*r(i) + 11*v(i). What is the first derivative of g(a) wrt a?\nAnswer: 4*a + 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)\/((-6)\/(-3)). Let p(m) = i*m**2 + 1 - m**2 - 3*m**2 - m**3 + 0. What is p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.7 * -1.929.\nAnswer: 28.3563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 71*p - 110. Let d(j) = 178*j - 274. Let g(l) = 5*d(l) - 12*u(l). Is g(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5328 and 1028592.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/43? (a) 0 (b) 0.009 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*n = 8, -2*s + 4*s - 3 = n. Suppose 0*j + w + 13 = 4*j, 0 = -s*j + w + 7. Solve j*q - k = 6*q - 14, 5*k + 5 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48779913 to the power of 1\/2, to the nearest integer?\nAnswer: 6984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -k + 5. Let j = -17 - k. Is j >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 3*g**2 + 5*g - 25. Determine s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 1424.65\nAnswer: 854.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -371, -365?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**3 - 3*q**2 + 3*q - 4*q + 7*q**4 + 5*q**3 - 7*q**3 to j*q**2 + i*q**3 + y + n*q + b*q**4 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 3 + 5 + 2*r**3 - 3*r - r**3. Suppose x + 6 + 1 = -2*w, 0 = 4*x + 2*w - 2. What are the prime factors of a(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.96 - -0.04. Suppose -3*j - g + 37 = 0, -4*j - 5*g + 20 = -11. Let m be 2\/(-4) + j\/20. Which is the nearest to 1\/3? (a) m (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2301 or 11512\/5?\nAnswer: 2301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-15))\/((-245)\/(-1225)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2209 = 3*l + 34*i - 36*i, -3*i = -l + 748. Is l a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*s**4 - 317*s**3 - 11*s**4 - s + s**2 + 6*s**4 + 292*s**3 + 2 as l*s**2 + g + d*s**3 + u*s + n*s**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + (5 - (3 - 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.733, -2, 0.3, 1\/7?\nAnswer: 0.733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 1 - 1)*(8*i - 7*i + 6*i)*(1 - 2 - 1) + i**2 - i**2 + 3*i**2 in the form s*i**2 + m + v*i and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x. Let u(n) = 5*n + 1. Let d(s) = 4*l(s) + 3*u(s). Let j be d(0). Let q = -11 - -21\/2. Which is the third smallest value? (a) q (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + z = -9, 3*f - 2*z = 4 + 1. Let y be (-2 - f)\/((-5)\/(-30)). Let i(g) = g**3 + 7*g**2 + 5*g + 19. Find the common denominator of -103\/14 and i(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-59 + -12 + 93) - (0 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-2) + ((-43)\/86 - (-22)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 18*y**2 + 19*y + 13. Let i be n(-8). Let f be 124 - ((-2)\/i + (-96)\/44). Suppose 120*m = f*m - 324. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = g + k - 2*k, -4*k = g - 31. Suppose z = 3*m - 109 - g, -5*z = 0. Calculate the smallest common multiple of 1 and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 20 = 0, -4*k - 3*n = -23. Let q be (-2)\/(-2 - 4\/(-3)). Find the third derivative of 2*f**2 - q*f**k - 2*f**6 + 2*f**2 wrt f.\nAnswer: -240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 290?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52725 or 52592?\nAnswer: 52725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01448 less than 0.5263?\nAnswer: 0.54078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.683 + -2.7. Let x = k - 0.02. Round x to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:13 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 5 + (49 - 57).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Find the third derivative of -11*v**3 - 3*v**3 + 3*v**l + 20*v**3 wrt v.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 99223, 99373, 99521, 99667, 99811, 99953, 100093?\n\"Answer: -d**2 + 153*d + 99071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56960*m**2 + 28482*m**2 + 28480*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let x = -27 + 29. Let w(v) = 7 - 8 + 57*v**x + 1. Calculate p(w(j)).\nAnswer: 57*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004 (base 7) in base 13?\nAnswer: c28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-45)*s**(1\/8)\/(s*(((s*s*s**(-2\/9))\/s)\/s)\/s*s*s*s) assuming s is positive.\nAnswer: s**(-3431\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 11 = 0, k - 32 = j - 21 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*j = 72306, 4*k + 56*j - 61*j = 72294. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3207 from -36.\nAnswer: -3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.34084676 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 273, 2, -1, 0.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/16 and 121\/73247594?\nAnswer: 585980752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 10749 = 5892. Let g = 2679 + i. Suppose -2*r + 1188 + g = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1, v: 2, z: 4, e: 4, y: 1}. What is prob of picking 2 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1\/11))\/b*b)\/(b**(3\/11)\/b))\/(((b**(-2\/3)\/b)\/b)\/(b*(b\/(b\/b**(-1\/5)))\/b)) assuming b is positive.\nAnswer: b**(707\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -35. List the prime factors of (b\/8)\/((-1)\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2896.477988 to zero decimal places.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + 12, 2*v + 18 = o. Let z = v - -7. Solve 1 = -5*k - 2*s, 18 = 3*k - z*s - 5*s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1148335263 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5819 + -10475700\nAnswer: -10475700.5819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**2 + s**2 - 3*s**2)*(3 - 2 + 0 + (3 + 3 - 5)*(0 + 1 + 1) + 0 + 3 + 1) to the form o*s + w + y*s**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 3*c)*(0*c - c + 2*c) + (2 - 3 - 1)*(0*c**2 - 4*c**2 + 2*c**2) - c + c + 2*c**2 + (0*c - 4*c + 2*c)*(-134 - 18*c + 134).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*r - 2*d - 15766, 4*d - 6322 = -2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67129901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126015*s**2 + 251999*s**2 - 125996*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/9))\/(y\/((y*y*y*y\/(y\/(y\/(y\/y**(-4)))))\/y*y)))**(6\/5) assuming y is positive.\nAnswer: y**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o - 212 = -55 - 34 - 75 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732393079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -13. Suppose -4*g + 4 = -2*y, 4*g + 0*y - n = 3*y. Solve 0*z = 2*o + 3*z + g, o = 5*z + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 + 1535351996*i\/13 + 294663218952648002\/13.\nAnswer: 2*(i + 383837999)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 5. Let b(q) = 9*q**2 + 2*q - 6. Let v(p) = p**2 + p - 1. Suppose -3*l - 1 = -4. Let c(k) = l*b(k) + w*v(k). Find t such that c(t) = 0.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 255*q**2 - 2840*q - 693. Calculate v(12).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*k + 231, 0 = a - k - 6 - 215. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + -1 + sqrt(612)*-2)**2 - ((sqrt(612) + -1 - sqrt(612)) + 2).\nAnswer: 12*sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02893966 times 0.7\nAnswer: 0.020257762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 4459050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-4 + 4)) + 18\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 31*z - 336 = 0. Solve -4*w + 5*h - 10 = 0, -3*h - z = 5*w - 5*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/12)\/((-2)\/(-24)). Solve 4*z - 7*z = -f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -133764.6?\nAnswer: -936352.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-4) + 4*6\/(-32). Let v = 20 + -1. Let t be 20 + v - (1 - r). Calculate the highest common divisor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 4*q - 103. Let d(i) = 12*i**2 - 168*i + 7. Let m(n) = -5*n**2 + 72*n - 3. Let b(h) = -3*d(h) - 7*m(h). Determine w(b(y)).\nAnswer: -y**4 + 4*y**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-69)\/2)\/(4 - 76\/16). Let b = z - 25. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 128241048 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 3*v)*(2*v - 4*v + v)*(3*v**2 - 2*v**2 - 2*v**2).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**9\/1512 - l**6\/360 + 5*l**3\/6 - 6*l. Let q(x) be the second derivative of b(x). Find the third derivative of q(c) wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 35, 78, 159, 290?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31823 (base 9) to base 14\nAnswer: -797b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(450\/210)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a5a4a (base 11) in base 7?\nAnswer: -2452322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 19320 in increasing order.\nAnswer: -2, 8, 19320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-4 + (1 - 0)). Suppose -u*i + 6 = -0. What is the least common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209376162 to the power of 1\/3, to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -543943 + 543943.5. Let o be (-2)\/6*(-6)\/(-19). Which is the closest to 2? (a) -4 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -28*j**2 - j + 1. Let r(p) = -971*p**2 + 1680*p + 5. Let f(x) = r(x) - 5*z(x). What is the second derivative of f(t) wrt t?\nAnswer: -1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6 - ((-426)\/(-90) - 5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982 is divided by 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2161 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2733?\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*n + 23*n + 221*n + 105*n + 211*n.\nAnswer: 370*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 8 (b) 0 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 10. Let z(m) be the second derivative of -2*m - m**2 + 0 + 1\/20*m**5 + 3\/4*m**4 + 7\/6*m**3. Let v be z(-8). Calculate s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 4*q + 1. Let d(i) = -3*i**2 - 29*i - 13. Let p(c) = 2*c**2 + 14*c + 6. Let w = -5 + 2. Let t(v) = w*d(v) - 7*p(v). What is 11*r(m) + 4*t(m)?\nAnswer: 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.4 - -0.2. Let x = -2 - c. Let s = 0.76 - 0.8. Put s, x, 0.4 in descending order.\nAnswer: 0.4, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1360 - 679 + 300*y**4 - 682 - 387*y**4 - 2*y - 11*y**3 to o*y + n*y**3 + w + p*y**2 + l*y**4 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -15*z - 15 + 0*z**2 + 0*z**4 - 2\/3*z**3 + 1\/6*z**6 - 14\/5*z**5. Find the third derivative of i(u) wrt u.\nAnswer: 60*u**2 - 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + -676. Let c = i - -946. What is the highest common divisor of 92 and c?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 - 1187\/7. Let k be (1\/(-7))\/((-18)\/63). What is the closest to k in g, -3\/2, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*c - 2*c + 6*c + (-3 - 1 + 5)*(3*c + 3*c - 5*c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 + 6*r**2 - 7*r - 1. Let m be k(-7). Suppose 2*f - m = 601. Suppose 3*w - 343 = f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let m(a) = 3777*a + 99. Let i(f) = 1888*f + 45. Let b(c) = -33*i(c) + 15*m(c). What is p(b(q))?\nAnswer: -5649*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2041 - 2040.9998086. What is o rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5763861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2. Suppose -5*i - 4*f = -259, -2*i - 3*f + 5*f + 118 = 0. Suppose 2*c - i = -3*c + 3*w, -2*c + 3*w = -22. Solve -3*n = c + l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/10*(-2 - 8)\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 3. Let f be (-3)\/(-12)*(-3)\/21*0. Solve 3*w - 4*w + 13 = 3*c, -z*c + 2*w + 18 = f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1254 and 132?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-11)\/(110\/10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32cc7 (base 15) to base 9.\nAnswer: -265487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3579181 is divided by 5034.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 + 20354?\nAnswer: 20531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(99) - (sqrt(99)*-1 - sqrt(99) - sqrt(99)))*4 + sqrt(99))\/sqrt(9) + 4.\nAnswer: 1 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -826, -1233, -1636?\nAnswer: -2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -55 + -26 - (-17 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-1674)\/117 - 4.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*c + 0 = -663. Calculate the remainder when c is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 + i - 1. Let w be l(5). Suppose 0*n - w = -2*n. What is the smallest common multiple of 10*n + -1 + -3 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 365\/(-25) + 18\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3 + 753*f**2 - 1503*f + 751 = 0.\nAnswer: 1, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186487638 by -8.\nAnswer: -93243819\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46113 = 4431*c - 64680 + 101042 + 85903 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 - -14 - (153\/(-38))\/(5\/10)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 361 - 518. Let d = 152 + f. Let q(c) = c**2 + 4*c + 1. Give q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(80) + 2 - sqrt(80) - sqrt(80)).\nAnswer: -10 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/((2\/165)\/((-128)\/(-24))). Suppose -8*o = -34*o + a. What are the prime factors of o?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -351 - -597. List the prime factors of t.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**4 + z - 1. Let o(u) = -4*u**5 - 11*u**4 + 4*u**3 + 8*u**2 + 5*u - 7. Suppose -5*g - 5 = -0. Let a(s) = g*o(s) + 5*y(s). Factor a(k).\nAnswer: 2*(k - 1)*(k + 1)**3*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 97*x**2 + 193 - 191 + 93*x**2. Let u(o) = o**2 - 11*o - 38. Let y be u(14). What is b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 5 - 0 - (-2 + -27).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3310a - -5?\nAnswer: -33105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 2*t**2 + 1. Let h be v(-2). Let g be -1 + 3\/(-2) + h. Which is the second smallest value? (a) 1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -948 smaller than -220638\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 18 + 1 + (-20 - 49)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 462 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 4, 9658, 2 in ascending order.\nAnswer: -4, -2, 2, 4, 9658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 5*o = 50*o + 9825. Does -662\/5 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3136 (b) 1\/4 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382 + -5?\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 300 = -v, 5*m - 8*v + 3*v + 300 = 0. What are the prime factors of (4\/10)\/((-3)\/m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**7\/1260 + 10*m**4\/3 + 35*m. Let r(o) be the third derivative of f(o). Let s(y) = -8*y + 5*y - 9*y. What is s(r(h))?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {k: 5, a: 5, m: 1, e: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1963 and 129419231.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -156.09*-409\nAnswer: 63840.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11257026 and 8636?\nAnswer: 22514052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6561980 = -59*u - 107*u + 48*u. What are the prime factors of u?\nAnswer: 2, 5, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1489021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6590 times 0.13291?\nAnswer: -875.8769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8855271ml?\nAnswer: 0.0008855271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-6)\/(-27)) + 4. Let i(g) = -2*g**2 + 14*g + 4. Let l(h) = 4*h**2 - 30*h - 9. Let o(b) = 5*i(b) + 3*l(b). List the prime factors of o(c).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 165*f**5 - 158375*f**4 - 659590*f**3 - 722940*f**2 - 57880*f + 38560 = 0.\nAnswer: -2, -1\/3, 2\/11, 964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -5*y - 76, 770*l + 6 = 772*l - 5*y for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (4\/66*9 - 39\/11).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/126 - 31\/(-93)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -6 - -1) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5 = a, -4*o + 389 = -4*a + 469 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from iddiidii.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**6\/y*y)\/(y\/(y\/(y\/(y**(-6)\/y)))))\/(y*y*y\/y**(-1)*y*y**0))**32 assuming y is positive.\nAnswer: y**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -772*i + 118126. Give k(153).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 914312\/15 + -60954. Find k, given that -2\/5 - 2\/3*k - o*k**2 + 2\/15*k**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -19*p**4\/24 - p**3\/6 - 11*p**2. What are the prime factors of d(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3 + 705*c**2\/4 - 1839*c\/4 - 126 = 0. What is c?\nAnswer: -1\/4, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(81\/(-12))*(-14)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -64*u - 1. Determine l(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63752 - 33754. Suppose -2*t + 3 = 7. Let v be (a - t)*(-8)\/6. What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 3, -4, -379951, 2 in ascending order.\nAnswer: -379951, -4, 2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (5 - 11 - -3) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*a**2 - 132*a**2 - 131*a**2)*(1 - 3 + 0)*(-2*a + a + 2*a) + (-4*a + 5*a - 2*a)*(3*a**2 - 5*a**2 + a**2).\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -34, -32?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1366*d**3 + 320*d**3 + 1139*d**3 - 22*d**3.\nAnswer: 2803*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 111957221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -382. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.92612104 to four decimal places.\nAnswer: -1.9261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110 + 1110?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 2007348?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 608828553 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -134*c - 73. Let f be u(-1). Suppose 2*m + 3*q = 5*q + 72, 0 = -2*m - 3*q + 52. Suppose m + f = 3*p. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6397106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2769*l**2*m + 66032*l**2 - l*m - 17*m wrt m.\nAnswer: 2769*l**2 - l - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.15 + -0.15. Let z be (104\/(-390))\/(2 - (-4)\/(-3)). Which is the nearest to z? (a) r (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 + 151 - 32*n**4 + 5*n**2 - 2613 + 83*n**4 with respect to n.\nAnswer: 204*n**3 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) 20 (c) 46\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.51 and 1.2.\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3071 - 12300 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -195335 and -195332 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -12*z**3 - 88*z**2 + 304*z - 160 = 0.\nAnswer: -10, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 62*t**2 - 494*t - 1440. Determine n(38).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/2235 and -47\/72.\nAnswer: 53640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.2735 and 0.049.\nAnswer: -0.0624015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.12 * -573.\nAnswer: -17258.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*c + 26*c - 1984 + 34*c - 88*c + 6704*c**2 wrt c?\nAnswer: 13408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 27936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/24 - g**3\/6 - 18*g**2 + 187*g. Let z(y) be the third derivative of -y**4\/3 + 8*y**2. Determine z(n(w)).\nAnswer: -8*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobbb. Give prob of picking 2 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -91 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 2. Let u be x(-6). Suppose 2*a + 2*a + u = 0. Does 0 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428*g**2 - 1428*g**2 - 1423*g**2 + 5703*g**2 - 1425*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 27*h - 120. Let i = h - -28. Suppose m + 0*p = 2*p + 13, i*p = -3*m - 11. Solve -4*b + 24 = 4*j, -j + m*b = j + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1403140222 - 10?\nAnswer: -1403140232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc8 (base 13) to base 14.\nAnswer: b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 351*r - 12. Calculate o(-1).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 2038589.\nAnswer: 36\/2038589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 45, 71, 117, 189, 293, 435, 621?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + f**3 + 6501 - 13005 + 6504.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.07585ms in nanoseconds?\nAnswer: 14075850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10557 = 2*w + 3277, 0 = w. Let c = v + 666. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h)\/(h*h**(21\/4))*(h*h**8)**(-28) assuming h is positive.\nAnswer: h**(-997\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5224723614 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2295105 divided by -40265.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 + -10 + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -173, -383, -677, -1055, -1517?\nAnswer: -2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/16*(596\/6 + 4). Let c = z + -27. Calculate the common denominator of 149\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 632669 - -0.0579679.\nAnswer: 632669.0579679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 603605953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o*o**2)\/o)*o*o*o**(3\/10)*(o\/o**1)\/o**(1\/5) assuming o is positive.\nAnswer: o**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 190\/469 (b) 4 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.7511 to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. What is w(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -51. Let r = -17 - -22. Calculate the highest common factor of r and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 595108, 0.1, -3\/2, -1 in descending order.\nAnswer: 595108, 3, 0.1, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 469140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*b + 212 = 5*b, 2*b + 318 = 3*c. Suppose -5*o + 266 = c. Calculate the highest common divisor of 48 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-14) + 121\/(-231). Let i = -0.023 - 30.977. Let z = i + 27. What is the closest to s in z, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 47 = -26*r - 130 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5652 to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/4 + 13*t**4\/4 - t**2 - 50*t - 2. What is the third derivative of m(h) wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, f: 9, z: 2, h: 3, n: 3}. Give prob of sequence zfv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 8 = -4*u + z, u + 4*z = -20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*q**2*y**2 + q**2*y - 49*y**2 with respect to q.\nAnswer: 252*q*y**2 + 2*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1*b**(-1\/4))**(-39))**48 assuming b is positive.\nAnswer: b**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 20. Is 1480\/c - (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**26*i)\/(i\/(i*i**(2\/85)*i*i*i)))**(-33\/2) assuming i is positive.\nAnswer: i**(-87021\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.907 to 2 decimal places.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*t**2 - 2*t**2 - 37*t**2)*(-2*t + t + 4*t + (1 + 1 - 3)*(-2*t - t + 4*t) - t + 3*t + 0*t).\nAnswer: -116*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.04008269, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -172 + 170. Solve -p + 15 = l*w, p - 4*w = -w - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/189 and 47\/26?\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 88*z + 1. Suppose 47 - 71 = 6*g. Let b(m) = -87*m - 2. Let c(j) = g*t(j) - 5*b(j). What is the derivative of c(a) wrt a?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 1. Let o be r(2). Let i(j) = j + 10. Let u be i(-8). Differentiate 0*a**u - a**2 - o + 2*a**2 with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiccciciccc. Give prob of sequence icii.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -793 - -793.194. What is q rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + 26\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 3*v**2 + v + 1. Let n(z) = -z + 14. Let p be n(11). Suppose p*s = 3*w - w - 18, 4 = -4*w - 4*s. What is m(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 + 9*n**2 + 11*n + 7. Suppose 0 = 9*b - 10*b - 49. Let f = 60 + b. Let u be d(f). Round u to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5) + sqrt(60)\/sqrt(3) + sqrt(5))**2 + 2 - (sqrt(55) - (sqrt(55) - (sqrt(605)*-2)\/sqrt(11)))\/sqrt(11)).\nAnswer: 2*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lobctybcl. Give prob of sequence tlb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 9 in descending order.\nAnswer: 9, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -128.9*-0.3\nAnswer: 38.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000017953317 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*y**3 + 2*y**2 - 27*y + 79789 wrt y?\nAnswer: -171*y**2 + 4*y - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -6775?\nAnswer: 6775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707, 995, 869, 329, -625, -1993, -3775?\nAnswer: -5971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1985 divide 148554355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24009, -23994, -23969, -23934, -23889?\n\"Answer: 5*u**2 - 24014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12246916 + -10053084. Round o to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244 + 7157\/30. What is the common denominator of -17\/9 and y?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*o - 270*o - 123 - 167 = 0 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/(-2)) - -5. Suppose -1 = 2*g - m. Let d = 8530\/7 - 1218. Which is the closest to g? (a) d (b) -2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/2 + 7*p**4 - 159*p**3 + 430*p**2 - 827*p\/2 + 135 = 0.\nAnswer: -27, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:52 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15891 - 4929 - 7079 + 4*f.\nAnswer: 4*f - 27899","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -335\/6. Let s = 3920364868\/885 + -4429790. Let n = 2\/177 - s. Which is the fourth smallest value? (a) n (b) -4 (c) r (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*k - 5*n - 60 = 127*k, -24*k + 300 = -8*k + 5*n for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 9*z)*(-1 - z**2 - z**2 - 3*z + 2*z).\nAnswer: -14*z**3 - 7*z**2 - 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 17, 4 in ascending order.\nAnswer: 4, 14, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.024994, 6\/7, -5?\nAnswer: 0.024994","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5456443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4033, 107, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 92. Suppose 0 = 4*l - 2*c - 18, -c = l + 2*c + 13. What is the lowest common multiple of l and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*r - 225*r + 38106 = 158*r for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 80. What is the closest to -1 in -0.2, o, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 42. Let a = o + -7. Let c(v) = -v**2 - 1. What is c(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 556 + -561. Put 1\/3, x, 0.5, 1\/4 in increasing order.\nAnswer: x, 1\/4, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (-4 + (2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**12\/f)**(-46)*f**(-21)\/(f**(-12)*f))**(-49) assuming f is positive.\nAnswer: f**29792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p - 11. Let l(c) = -7*c + 10. Let y(z) = -6*l(z) - 5*n(z). Suppose 0 = 4*v - 19 - 13. Does 4 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 994?\nAnswer: -993.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 4, f: 1, y: 9, o: 1, p: 1}. Give prob of picking 1 p and 1 q.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116\/73 at most as big as 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.224 + -121.224. Let n = q + 119. What is the nearest to n in -4, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)**(24\/7))**16\/((v*v\/(v\/(v*v**(-2\/3)))*v)**(6\/7))**(5\/7) assuming v is positive.\nAnswer: v**(374\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(132\/495*-205)\/((-8)\/(-18)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12255 - -12258. Let g = -0.3 - 2.7. Which is the smallest value? (a) i (b) -84 (c) g (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271 (base 9) to base 14.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14736384 divided by 38376.\nAnswer: -384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65718a5 (base 11) to base 4.\nAnswer: 230001101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 37010?\nAnswer: 37014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/39*-16)\/((-6)\/63). What is the greatest common factor of u and 15064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73 + 879*g - 1080*g + 73)*(6 - 4 - 3).\nAnswer: 201*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.331 + -2.031. What is the nearest to -0.1 in -4, k, 0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -16. Let q be (3\/10)\/(12\/u). Let x = 3 + -4. Is q >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -12*u**3 - 5*u**2 - u + 5. Let s(r) = -6*r**3 - 2*r**2 + 2. What is -2*f(i) + 5*s(i)?\nAnswer: -6*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let g = -15 + 11. Let q = g - -6. Let a(b) = -b**2 + 2*b**q + 0*b**2. Calculate a(x(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -18) + (21 - (-6 - -1 - -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 45334?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -308*p + 352. Let h(i) = 34*i - 40. Let l(b) = -5*d(b) - 44*h(b). Let a(o) = 32*o. Determine a(l(c)).\nAnswer: 1408*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 10*h**3\/7 - 1531512*h**2\/7 + 306302*h\/7 = 0.\nAnswer: 0, 1\/5, 153151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 119*i**3 - 2647*i**2 - 18193*i - 40866.\nAnswer: (i - 139)*(i + 6)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 389\/14 - 55\/2. What is the fourth biggest value in -5\/2, y, -2\/15, 0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 84*o = -80*o - 92, -13*o = 5*v + 205 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Let t = 5 + -3. Suppose t*q = -q + 165. What is the highest common factor of u and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {q: 5, k: 14, a: 1}.\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1874333, 0.18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 12 + -9 + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(96)\/(1*sqrt(972))*-3)\/(sqrt(4) - -2*-3*sqrt(4) - sqrt(576)*-1).\nAnswer: -5 - sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*52\/(-5382)*253.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 36. What is w(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*h**2 + 9*h**4 + 94*h**2 - h**3 + (2*h - 3*h + 2*h)*(h**3 - 3*h**3 + 4*h**3) + (-4*h**2 - 14*h + 14*h)*(-12*h + 125*h - 173*h**2 + 175*h**2).\nAnswer: 3*h**4 - 453*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.70527 - -0.09473. Suppose 29 = -4*h + 5*z, -z - 20 = h + 2*z. Let o = h + 15. Sort c, o, -0.4, -4 in decreasing order.\nAnswer: o, c, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2 + 56355862*r = 0.\nAnswer: -56355862, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7710411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21456950.\nAnswer: 2, 5, 429139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -955 - -987. Let p = -49 + 93. Calculate the lowest common multiple of z and p.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -110, -170, -234, -302, -374, -450?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5\/8)\/p*p*p**(-5\/4))\/(p**2)**(2\/3))**(-9\/2) assuming p is positive.\nAnswer: p**(231\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d - 24. Let f be g(17). Suppose 3*t - f = 7*k - 2*k, -214 = -5*t + k. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127836 = 4*o + 32*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45614296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 31. Suppose -h*a + 67 = -53. Suppose a*z**3 + 24*z**3 - 16*z - 36*z**3 - 4*z**4 = 0. What is z?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = c + 19, 5*r - 3278531*c = -3278536*c - 65 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 867510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8\/13 - 53\/65. What is the nearest to 0.2 in -1, 1\/2, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 92 = -0*u - 4*v, 3*u + 5*v = 136. Suppose -s - u = -4*s. Let r(d) = -d**3 - d**2 + d - 1. Let h be r(-3). Is h at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5*-2)\/(((-3596)\/58)\/(-310)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)\/sqrt(4))\/sqrt(2))\/(3*sqrt(2)*2 + sqrt(2) + sqrt(2) - sqrt(2)))**2.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 3 + 9 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*a + 11, 0 = 2*b + a + 14. What is the tens digit of 71 + (-1 - b)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d7 (base 14) to base 10\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 7*k**2 + 19*k**2 + 0 to v*k + t + i*k**2 and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26574 and 5562?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = -8. Let l be c\/(-18) - ((-326)\/(-72) + -5). What is the nearest to l in -0.5, -3, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689126303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -204232 (base 6) in base 8?\nAnswer: -40174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g - 6 + 1 + 4 + (2 + 2 - 2)*(0*g + 0*g + g) as b + w*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -597*j**4 - 6351*j**4 + 4*j**3 + 3902*j**4 - 4*j**3 + (-5 - 3 - 1)*(j**4 + 2*j**3 - 2*j**3) to the form g*j + k*j**4 + m*j**3 + x*j**2 + u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 - 59*s - 408 = 0.\nAnswer: -51, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r + 21. Let u be q(3). Suppose 0 = v + 4*t - 41, 5*t + 14 + u = v. Let i = -26 + v. Solve c + 4*c + 2*j = 6, -2*j + 6 = -i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -2\/3 (b) -10\/3 (c) 25 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -196167*p**3 + 5*p**2 - p + 491 wrt p.\nAnswer: -1177002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u - 1. Let t = -3 - -1. Let h be d(t). Let r = -10 + h. What is the greatest common divisor of r and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -682 - -677. List the prime factors of 1016 - (-1 - (4 - 6 - v)).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (-27 + 4 + 51 + -27).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(-103 + 103 + 29*f + (5 - 1 - 6)*(f - 4*f + 0*f))*(0 + 1 - 3) to t*f + a and give t.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -7. Suppose 4*j - 7 = t. Solve -j*a - 15 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*k + k. Let y = 69 + k. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 60\/50*(-1 + -4). Let q be (-4)\/8 - 33\/z. Let m(p) = p + 6. Let n(k) = k + 7. Determine q*m(u) - 4*n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**30)*h)**(-2\/53)\/(h**16*h)**(-1\/33) assuming h is positive.\nAnswer: h**(-1079\/1749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - -4)*(-3 + (-34)\/(-8)). Let a = 420 + -220. What is the greatest common divisor of a and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005719539927 rounded to 6 dps?\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 18 = 4*i, -3*m - 2*m + 3*i = -1. Suppose m*y = -110 + 556. Suppose 2*o = 223 + y. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9146 is divided by 3038?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g - 15. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 4*j = 24 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f = -37*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 4 + 4 + 61*b**3.\nAnswer: 61*b**3 + 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let q = -363 - -363.996. Let h = r - q. Round h to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = p - 5*v, -3*p + 5*v - 11 = -6. Calculate the remainder when 152 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -138*d**4 + 3*d**2 - 596*d - 2260694.\nAnswer: -552*d**3 + 6*d - 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*v**3 - 183*v**2 wrt v.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*j - 5*m - 259, 4*j = -m - 208. Let u = 9 + j. Find the common denominator of (-8)\/(-30)*(81 - 1) and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 - i**4 - 1 + 3*i + 137*i**2 - i**3 - 4*i - 140*i**2 to k*i**2 + h*i + q + y*i**3 + m*i**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101811229591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0007613935613 and -0.3.\nAnswer: -0.2992386064387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -5*q**2 + 1\/12*q**4 + 1\/2*q**3 + 0 + 0*q. What is the derivative of t(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**6\/30 - g**5\/10 + g**4\/12 + 3*g + 3. Let p(r) be the first derivative of x(r). Factor p(j).\nAnswer: j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*d - 0*m + 45, 0 = -2*d + 4*m + 8. Suppose -d = f - 3*f. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 302.9, -5, 5, 2.48 in ascending order.\nAnswer: -5, 2.48, 3, 5, 302.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -5 (c) 0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 7*n - 56)*(-3*n**4 + 2*n**4 + 4*n**4) + n**2 - n**2 - 2*n**5.\nAnswer: -23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 57*h**2 + 440*h + 104*h**2 + 4*h**3 - 26*h**2.\nAnswer: 4*h**3 + 440*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 141. Suppose q = 4*r - 12 - 60, -4*r + 3*q + 64 = 0. Let u = r - b. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 12*q + 31. Let n be h(13). Let z(j) = j**3 + 10*j**2 + 3. Let g be z(-10). Calculate the greatest common factor of g and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-120)\/18)*(-4)\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*f - 6 = 0, -4*p = -f - 0*f + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(115\/2760).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 17*k**2 + k - 15. What is p(-17)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i + 2462. Give m(177).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -583, -1162, -1741, -2320?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/6)\/((-5)\/855).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31 - 221.\nAnswer: -221.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 149.444278 and 7.97?\nAnswer: 141.474278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2604 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 20. Let l = -20 - -34. Suppose -4*m + 20 = 2*g, m + 5*g - l = 3*m. Solve 4*b - 23 = 5*h, -2*h - b - x = -m*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 7 + 4. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.48 times 0.16?\nAnswer: 1.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.955 - -1.9. Let l = r + 5.055. Which is the closest to -2? (a) 3 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3 + 342143572*b**2 - 863450872*b wrt b.\nAnswer: 12*b + 684287144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*a + 3*d + 4658, -4*d = -2*a + 2354. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/17 and 17\/209.\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2380 divided by 1190\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14883, 29778, 44683, 59604, 74547, 89518, 104523, 119568?\nAnswer: 134659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14029 greater than or equal to 13660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6614 and 33070?\nAnswer: 33070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/631, 3, 0, -5, -4 in descending order.\nAnswer: 3, 1\/631, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:02 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105363623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*z = -300, 4*s - 6*z + 3*z + 267 = 0. Let h be 60\/s + 14\/49. Let v be (-36)\/8*1\/6. What is the nearest to 0.1 in h, -2, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3000\/329 + 14391649\/12173. Let k = h + -1191. Let z = 80\/407 - k. What is the nearest to 3 in 0.3, -3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -785.5699 rounded to the nearest integer?\nAnswer: -786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7989*l = -13661*l + 606904 for l.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -8. Suppose -19 = -5*c + 3*h, -5*h - v = -4*c + 5. Find the third derivative of -4 + 5*w**c + 0*w**4 + 6*w**4 + 4 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -9 - 2*n**3 - 1\/4*n**4 + 5*n**2 + 7*n. What is y(-7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3048, 3050, 3054, 3060, 3068, 3078, 3090?\n\"Answer: g**2 - g + 3048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.36 times 0.28?\nAnswer: 12.9808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5309 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -213 or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 13*x**3 + x**2 + 1. Give k(2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 153935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 543.3 + -543. Is 4.92 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(10\/9)*v**11*v)**16 assuming v is positive.\nAnswer: v**(1888\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3*r - 2. Let u be a(4). Let t = 6 + 16. What is the greatest common divisor of u and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.02586 and 7.5703234.\nAnswer: 4.5444634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 + 62126090*x**2 + 192982615060480*x + 385964981616640 = 0. What is x?\nAnswer: -6212608, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.77 and 10?\nAnswer: 147.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*i - 9, -7*b + 8*b + 3 = -2*i. Solve -4*s - b - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 43*m + 17*m - 3*m + (3*m + 2*m - 4*m)*(-4 + 1 + 1).\nAnswer: -31*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0332156 + 5.\nAnswer: 5.0332156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8140, -8153, -8180, -8227, -8300, -8405?\n\"Answer: -b**3 - b**2 - 3*b - 8135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(651*j + 2814*j + 512*j)*(2 - 2*j - 2) to the form a*j**2 + x + f*j and give a.\nAnswer: -15908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13335 and 11469878?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-535)\/25 + 4 - 8\/80*-4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 8*c**2 - 6*c - 5. Let m be n(7). Suppose -m*u = g - 1, -3 = g - 2*g - 3*u. Sort 12, 4, g in ascending order.\nAnswer: g, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -14739.12.\nAnswer: -14739.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243000 and 625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2062 - -2644. What is the smallest common multiple of w and 7?\nAnswer: 4074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210 + 304 = -918*l + 954*l - 386 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 8*a**2 + 5. Let h be w(-8). Solve 0 = g - h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*i**4 - 948*i**3 - 693*i**2 - 687*i\/4 - 57\/4.\nAnswer: -3*(i + 19)*(4*i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327089086 to the nearest integer?\nAnswer: 18086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -0.07. Let c = -24 - -11. Let n = c - -12.6. Sort n, p, -2 in ascending order.\nAnswer: -2, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -r + 8*u, r + 40*u = 45*u - 8. Let h be 4 - (-1)\/(1 - 0). Suppose 12 = 4*a - 5*p - 8, -h*a = 2*p + 8. Solve -4*g + r*g - 10 = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4 and (-510)\/(-24) - (1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:59 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36952725 to the nearest integer?\nAnswer: 6079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2936.325m?\nAnswer: 2.936325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 6 (c) -5\/4 (d) 0.2 (e) -7\/47 (f) 1.94\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k - 1. Let w(n) = n - 2. Let c be w(3). Let y be t(c). What is the units digit of y\/(-2)*2 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e + -4250a3?\nAnswer: -425085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:02 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/3 + 5*p. Let j be ((-4)\/22)\/((-18)\/198). Let g(n) = -58*n**j + 2*n**2 + 13*n**2. What is g(r(a))?\nAnswer: -172*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217 + 19*a**2 + 12*a**2 + 81*a**2 + 217.\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:03 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3\/8, 2\/471, 5, 6\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 555222 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205109939 a multiple of 3325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5462497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w - 277 = 25*w + 273 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -10. Suppose -l*y = 3*j - 25, -4*y - 4*j + 20 = y. Suppose -5*r + 3 = -4*o, -4 - y = o - 5*r. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let s be o(5). Let q(i) be the second derivative of i**5\/20 - i**4\/3 - i**3\/6 - i**2 + 13*i + 1. Give q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.03626ng in grams?\nAnswer: 0.00000004603626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 2. Let v be c(0). Let p be -60*(-2 - 48\/(-30)). Suppose p = 3*n + 3*x, -2*n = n + 2*x - 19. Which is bigger: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26968*w**3 + 56266*w**2 wrt w?\nAnswer: 161808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 10046370*t**2 - 3*t**3 + t**3.\nAnswer: t**3 - 10046370*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -945, -1411, -1877?\nAnswer: -2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21067.81 micrograms?\nAnswer: 21.06781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -18. Suppose -w*k - 11 = -5. Which is greater: 5\/16 or k?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45825*c*m**4 + 2142*c*m**2 - 2*c wrt m.\nAnswer: -1099800*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -154*r + 3. Let m(u) = 17442*u - 340. Let y(s) = -3*m(s) - 340*x(s). Let l(i) = -2*i**2 + 5*i. Calculate l(y(p)).\nAnswer: -2312*p**2 + 170*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w**3 + 3*w - 5. Let p(q) = -6*q**3 + 2*q - 3. Let z(y) = 146*y - 2183. Let c be z(15). What is c*p(b) - 4*u(b)?\nAnswer: 2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 15*l + 6)*(7*l - 2 + 2 + (-3 + l + 3)*(0 + 1 + 1)).\nAnswer: 135*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 9*p**2 - 3*p + 29. What is f(-7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5159*f + 30964. Calculate i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(50920 + 54*a - 50920).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*c - 10*c + 4*c)*(37 - 2 - 19)*(6*c**3 + 5*c**3 - c**3) in the form s + m*c**2 + h*c**3 + d*c**4 + g*c and give d.\nAnswer: -3040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 10. Suppose -r*v = h - 97, -4*h = -h - v - 263. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 18*f + 34. Suppose -c - 141 = -134. Let v be n(c). Let a(k) = -k**3 + 5*k**2 + 8*k - 7. Give a(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s**2)*(2 - 2 - 2*s + (4 - s - 4)*(4 - 2 - 3)) - 2*s**2 - 2*s**3 + 2*s**2 + 249*s - 23*s**3 + 60*s + 17*s**3.\nAnswer: -9*s**3 + 309*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.231357 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -233043 (base 5) in base 4?\nAnswer: -2011023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -11*c**7\/30 - 61*c**3\/3 + 25*c**2 - 3*c. What is the derivative of j(a) wrt a?\nAnswer: -308*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h*h*h*h*h**2*h)*h)\/h**(-2\/3))\/((h\/((h\/(h*h**(2\/15))*h)\/h)*h)\/h*h\/h**8) assuming h is positive.\nAnswer: h**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1433, 2236, 2409, 1952, 865?\nAnswer: -852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + -0.3. Let n = 2843 - 2848. Put 20, n, j in decreasing order.\nAnswer: 20, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.71 - -5.11. Let s = b - 4.85. Let o = s + 6.85. What is o rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7926757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 1. Let d be i(4). Let t be (-6)\/(-2) + d + 4. Find m, given that -4*m**2 + 4*m**t + 3*m**3 - m**3 - 2*m**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (271\/(-27))\/((-4)\/2922). Let r = f - 7334. What is the common denominator of r and 2\/12 - ((-136)\/(-132) - -1)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 6*y - 124. Let c be -3 + (-1 - (2 + y)). Solve -5*i - c = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20121100?\nAnswer: 20121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -12. Suppose -2*n = -n + 5*x - 369, x = -a*n + 1149. Let m = -253 + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, -1, -0.1, -22, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14773 is divided by 2812?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 - 8*y**2 + 22*y - 12 = 0. What is y?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**5\/9 - 1444*d**4\/9 - 33140*d**3\/9 - 215132*d**2\/9 - 336640*d\/9 - 153200\/9 = 0?\nAnswer: -10, -1, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/5)\/2 + (-141316)\/3605?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g\/((g\/(g**(-9\/2)*g))\/g))**(3\/7)\/(g**(5\/2)*g\/((g*g\/(g*g**(-4)))\/g*g*g)*(g**(2\/5))**(-1\/17)) assuming g is positive.\nAnswer: g**(1119\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - 184 + 5*l**3 - 1556.\nAnswer: l**3 - 1740","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 88 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -30, -2\/11, 5501\/2, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 245 = 220. Let l(y) = y**2 + 5*y - 4. Give l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:14 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(-912)\/(-1064)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 + 12*n**2 - 2. Let l(q) = q**2 + 4*q - 3. Let o be l(-5). Let y(p) = 22761 - p**o - 22761. Determine c(s) + 12*y(s).\nAnswer: 4*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 5*x + 2*x)*(-x + 1 - 1 + (0 + 0 + x)*(-6 + 4 + 7)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 11*k - 3. Calculate the remainder when 57 is divided by p(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m**3 - 6*m**2 + 7*m + 6. Let h(c) = 15*c**3 - 5*c**2 + 6*c + 5. Let j(n) = 6*h(n) - 5*u(n). Find the second derivative of j(i) wrt i.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -4. Let i = -13 + q. Let d be ((-105)\/14)\/5 - 10\/(-8). Which is the closest to 2\/3? (a) i (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 18*s - m = 3, 4*s + 6 = m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373121.239133 + 0.760867. Let s = j + -373137.9943. Let p = 16 + s. Round p to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7 + f**2 - 3 - 5*f - 10*f. Let t be z(16). Suppose -2*o + 10 + 10 = a, 0 = -3*a + o + 53. Solve t = 4*l + a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36929063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + ((-70)\/14 - -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/3 - 2*n**3\/3 + 8*n**2 - 8*n\/3 - 32\/3 = 0. What is n?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.05 + 0.05. Let c = -0.4 - 4.6. Let v be ((-2)\/4)\/((-7)\/4). What is the second biggest value in c, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -516 - -554.3. Let q = -139 + 118.4. Let m = q + s. Round m to the nearest integer.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10314 - 22401?\nAnswer: -12043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -3 + 1\/4*j**4 + 3*j**2 - 7\/3*j**3 + 6*j. Give h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 49, -0.3, 783, -2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 89 = 5*t, 2*t - 3*t = 3*h - 15. Solve -4*c - 5*j = 35, -25*j + 26*j = -3*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 8. Let u(k) = k - 1. Let d be (-2)\/(-1 - 3\/(-9)). Calculate the remainder when z is divided by u(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*q, -f - 5*q = -6*f + 275. Suppose -2*n - 319 + 3 = 0. Let m = 288 + n. What is the highest common factor of m and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3973684?\nAnswer: 2, 11, 13, 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23430 by -1562.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**4\/4 - n**3\/3 - n**2\/2 + 3*n - 154. Determine y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-2\/3))))\/r**22*r**(2\/57)*r\/(r**(8\/7)*r) assuming r is positive.\nAnswer: r**(-3029\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3683*c - 25852. Determine l(7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 756*b - 47628.\nAnswer: -3*(b - 126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:38 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -334, -465, -634, -853?\nAnswer: -1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**3*s + 775*o**3 - 21*s**3 wrt s?\nAnswer: 3*o**3 - 63*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979145 is divided by 22747.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2119000 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409216113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, j: 2, b: 6, x: 3, m: 3}. Give prob of picking 3 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -170245, -340509, -510791, -681085, -851385, -1021685, -1191979?\n\"Answer: a**3 - 15*a**2 - 170226*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 1, e: 1, n: 2, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9491724*t**4 + 683713*t**2 + t?\nAnswer: -227801376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -132. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 2*f**2 - f + 2. Let h be l(1). Which is greater: -0.02 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**5 - 3*s**5 + s**5 + (4*s**2 - 2*s**2 - 4*s**2)*(-2*s - s**3 + 2*s) + 12*s**2 - 32*s**5 - 12*s**2 - 25*s**3 + s**5 + 5*s**3 + 6*s**3.\nAnswer: -27*s**5 - 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 + -229. Suppose 0*g + 2*y = 5*g + 440, y = -g - 95. Let v = g - c. Solve v*b - 9 - 6 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 39. Let v(j) = 2*j**2 - 2*j - 4. Let u be v(-2). Let d(i) = -6*i**2 - 6*i**2 + u*i**2 + 2*i**2 + i**2. Determine b(d(f)).\nAnswer: -f**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1191272*s + 98203676.\nAnswer: 1191272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uigdt. What is prob of sequence iut?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.1. Let o = 1\/23 - -109\/138. Let x = 52\/2173 - -3670\/28249. What is the fourth biggest value in o, j, x, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3 + 1770\/(-588))*(-18 + 20))\/1\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -4c9?\nAnswer: 4cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymtvp. Give prob of sequence ty.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 91 = 4*s, 0 = r + 8723*s - 8728*s + 100 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 258\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 867 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 41. What is the remainder when i(23) is divided by -2 + 5 + -3 - -22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(864) + sqrt(864)))\/(sqrt(242) + (sqrt(242) - sqrt(242)*-1) + -3*(sqrt(2) - sqrt(18))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + ((sqrt(99) - sqrt(99)*-3)\/sqrt(9) + 2 - ((sqrt(66) + (2*sqrt(66) - sqrt(66)) + sqrt(66))*-6)\/sqrt(6))))**2.\nAnswer: 1408*sqrt(11) + 85248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3198825903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 7*a**2 + 6*a + 6. Let b(x) = -16*x - 502. Let g be b(-31). Determine y(g).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 377023*h**2 - 13571856*h + 122143788.\nAnswer: -(h - 376987)*(h - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3)*v**(5\/4)*((v**(3\/7)*v*v)\/v)**(-17\/3))**(-1\/11) assuming v is positive.\nAnswer: v**(201\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 12:53 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose r + 2*g - 9 = 0, -3*g + 4*g = n*r + 1. Differentiate -h + 5*h - 5 + r with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-27)*(1811724\/1162)\/(-214)\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56467, 112940, 169413, 225886, 282359, 338832?\n\"Answer: 56473*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -66385, -69257, -72129, -75001, -77873, -80745?\n\"Answer: -2872*f - 63513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -32*v**4\/17 + 22992*v**3\/17 + 34542*v**2\/17 + 12958*v\/17 + 1440\/17 = 0.\nAnswer: -1, -1\/4, 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-3)\/6 - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 19 = t, -4*t = -2*o - 83 - 13. What is the remainder when 196 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 3*t**2 + 5. Let u(n) = 4 + 23 - 42 - 8*n**2 - 5*n**3. Determine 8*s(f) + 3*u(f).\nAnswer: f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*c = -667, -4*c = -4*l + 1873 + 827. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6879 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 2\/13 (b) 1\/7 (c) -15 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 12*t - 126 = 0. Let l(c) = -20*c**3 + 25*c + 29*c - t*c. Let v(p) = -p**3 + p. Give l(q) - 12*v(q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or -42453?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(-12*s**3 + 3*s**3 + 5*s**3) + (2 - 1 + 1)*(-4*s**3 - s**3 + 3*s**3).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/2361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/18 + (-1)\/(-2). Let m = -12 + 15. Suppose 3*l = 4*f + 13, m*f = -l - 0*f - 13. What is the nearest to l in p, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(4 - 3 - 3) - 2 + 2 - 2*w - 1 + 1 + 2*w - w + w + 2*w + (3*w - 4*w + 2*w)*(-2 - 3 + 4) - 3*w + 2*w + 2*w + 5*w + 12*w - 6*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -8.9.\nAnswer: 2.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -3*v - 51, -72*n + 14 = -72*n - v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d - 4*p, 5*p = -3*d. Solve d = v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*y - y + 633, 4*y = 4*w - 492. What is the remainder when w is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let u(t) be the first derivative of 5*t**2\/2 + 4*t - 60. Let d(a) = -a - 1. Determine l*u(y) - 4*d(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouuoouuosoouuu. Give prob of picking 1 o, 2 u, and 1 s.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818717647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 divided by 2?\nAnswer: -283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238718*f**2 + 7288*f - 7307*f - 238717*f**2.\nAnswer: f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -112607 (b) -0.3 (c) 0.8 (d) 7 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euuueuuuuuuu. What is prob of picking 2 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-33) - (-29)\/(-6))\/(2\/(-12)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33738, -130476, -290218, -512970, -798738, -1147528?\nAnswer: -1559346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b - 13. Let w be a(4). Suppose 5*g = 5*k - 5, 5*g - 6 = -5*k + w. Suppose 16 = 5*n - g. Solve y + 3 = n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k - 15. Let d(j) = j - 50 + 3*j**k + 22 + 27 - j**2. Determine d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*5\/40)\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(80) + 0) + sqrt(80) + 1*sqrt(80)*-5)**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 4) in base 5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, -1, -77, 3\/5, 0.44?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001000101101010011010 - -1100?\nAnswer: -101001000101101010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v**3 + 2*v**2 + 6*v - 6. Let f(z) = 11*z**3 - 2*z**2 - 5*z + 5. What is -5*b(c) - 6*f(c)?\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {e: 5, l: 8, b: 2, c: 1, v: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y**3 - y**2 + 1. What is i(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 + (-40)\/(-6) + (-880720)\/6890435*47?\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2 + sqrt(468))*3 - ((-4*-3*sqrt(468))**2 + sqrt(468))) + -3.\nAnswer: -67403 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10505 - -10505. What is the third smallest value in 5, m, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-5))\/(1\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(1\/21)*o\/((o**(-4\/3)\/o)\/o))\/(o*o**(-9))**11 assuming o is positive.\nAnswer: o**(1982\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*i**2 + 4*i**3 + 0*i**3 - i**3 + 86*i**2.\nAnswer: 3*i**3 + 125*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363434 != 12270902\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220010202122 (base 3) to base 11.\nAnswer: -2a4a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2112)\/4716)\/22*(1\/4)\/((-2)\/6)?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5116 and 156.\nAnswer: 199524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 m when four letters picked without replacement from {l: 3, m: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -1\/9, -2\/7, 609, 18 in increasing order.\nAnswer: -3\/4, -2\/7, -1\/9, 18, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2013 + -2007. Let s(v) be the second derivative of 1\/90*v**5 + 1\/135*v**x - 2\/9*v**2 - 5\/27*v**3 - 1\/18*v**4 + v + 0. Factor s(f).\nAnswer: 2*(f - 2)*(f + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777*y - 286*y + 6072 = 455*y. Factor 3*x - 7\/2*x**y - 13*x**3 + 0 - 13\/2*x**2.\nAnswer: -x*(x + 1)*(x + 3)*(7*x - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100 - 10000001110?\nAnswer: -10100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 174 = -72*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 76212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 6*k**2 - k + 7. Let w be y(6). Let s = 6 - w. Suppose 0 = -g - 0*g - 2, -s*r - 2*g + 1 = 0. Let f(n) = n. Determine f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 14*j - 2. Let f(i) = -2*i**2 + 11 + 7*i + 2*i - 10. Give 8*f(k) + 5*n(k).\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1347*o**3 - 8*o**2 + 19*o - 1732265 wrt o?\nAnswer: 4041*o**2 - 16*o + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122929849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -95*x**5\/3 + 1039*x**4\/6 - 139*x**3\/6 - 1649*x**2\/6 + 509*x\/6 + 215\/3 = 0. Calculate x.\nAnswer: -43\/38, -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -1)*(-1219)\/(-23). Let h = q + 452. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26341*u = 26343*u + 3*a + 37, 5*u - 4*a + 150 = 0 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*z + 3, -1 = -4*z + 5*z. Suppose 0*v + 2*v - 2122 = a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 + -135. Let k(x) = -x + 16. Let o be k(0). Suppose -o*n = -n. Solve 5*t + 4*v = a, -3*v + 37 = 5*t - n*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 17*q**3 + 1062*q**2 - 1062*q**2 as j + w*q**3 + z*q**2 + t*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*i - 19 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 11:03 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -12, 210, 21, -6 in decreasing order.\nAnswer: 210, 21, -2, -4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1222102221 (base 3) to base 14\nAnswer: -102ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 24*d**4 - 4*d**3\/3 + 593*d**2\/2 - 1080. What is the second derivative of w(v) wrt v?\nAnswer: 576*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -7 (c) 2\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 92 = 3*x - 65, 4*x = -5*h - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 41. Let s be 3\/(-3)*(-3 - 68). Let v = s + f. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*u + 388 = 2*n - 258, 4*u - 8*n - 28 = -10*n for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 12. Solve -4*x - c = -8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1502.5416 months?\nAnswer: 12.52118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 + 0*q**4 - 4*q**4)*(-4*q + 25 + 2*q + 0*q).\nAnswer: 6*q**5 - 75*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llwawffuwwwfluuwu. Give prob of picking 1 l and 1 w.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -20 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 79 + -23 + 11 + 12 + (6 - 16)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 520 = -5*o. What is the highest common divisor of 52 and o?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7))\/((-3)\/(-2)*9\/135)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -867, -866, -865?\n\"Answer: l - 868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 977\/13. Which is the fourth biggest value? (a) 0.1 (b) -3 (c) 0.5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 10*u - 9*u. Put 0, -3, u in decreasing order.\nAnswer: 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9054*j + 9055*j = 0. Solve 1 = -s - j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520)\/(5*4*sqrt(10) - sqrt(10)))\/(5*(sqrt(4) - (sqrt(16) - sqrt(4))*6)).\nAnswer: -sqrt(13)\/475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50800098647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/7 - -13\/35. Suppose 10*z + 7*z = 51. Let y = 108 + -109. Which is the smallest value? (a) y (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.59 = -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 9*o = 24. Let m = o + -82\/7. Which is the second biggest value? (a) -3 (b) m (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*v**3 - 100*v - 103*v + 28*v**3 - 4*v**3 + 5*v**3 + 5*v**3 + (v**2 - 2*v**2 + 0*v**2)*(v - 5*v + 2*v) to q*v**2 + a + r*v + o*v**3 and give r.\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10406 + 18125. Is 139 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.808913 rounded to one dp?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**4*v**2 - 7*h**3*u + 2*h**3*v**2 + 6*h**2*v**2 + 15*h**2*v - 2*h*u*v**2 wrt h?\nAnswer: 72*h*v**2 - 42*u + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.501 + -0.499. Let k = -7 - s. Which is the smallest value? (a) k (b) 1.5 (c) -3\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1. Let n(j) = -j**2 - 6*j - 2. Suppose f + 3 = -2, 0 = u - 4*f - 15. Let t be n(u). Solve t*q - 6 = -b*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3252508 and 4878762.\nAnswer: 9757524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -854 + 1865. What is the first derivative of u*s - 482*s - 24 - 488*s wrt s?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*f**3*g - 43*b**2*f**3 - b*g**2 + 4*f**3 + 4*f**2*g**2 - 25*g**2 with respect to b.\nAnswer: 6*b*f**3*g - 86*b*f**3 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 8*d + 7. Let g(q) = -3 + 3 + 1 + q. Suppose -k + 7*k = 84. What is k*g(c) - 2*p(c)?\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222 (base 14) to base 11.\nAnswer: -4493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 351467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -1\/14 (b) 1 (c) -27\/4 (d) 9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72663 is divided by 243.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 831, 0, -4, -5, -15 in ascending order.\nAnswer: -15, -5, -4, 0, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-537)\/1432?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -l + 2*f + 5, -5*l + 17 = 3*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11338073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + (-7 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2498*q - 6138*q - 2909*q + 473*q - 6823*q - 5127*q + 3*q - 2*q + 2*q + (-6 + 2 + 3)*(4*q - 6*q + q).\nAnswer: -23018*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1079\/(-1482) - (-76 - (-32410)\/420).\nAnswer: -36\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 13 = b - 3*v, v = -5*b + 5. What is the third derivative of 4*p**3 + 4*p**b - 1 + 1 - 3*p**3 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2157830 is divided by 8808?\nAnswer: 8678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6570.573ml to litres.\nAnswer: 6.570573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 27008869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17716979051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 173 (b) 0 (c) -1\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240733, 240824, 240975, 241186, 241457?\nAnswer: 241788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*o**2 + 16 + 3*o**2 - 10 - 63*o in the form d*o + h + y*o**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c - 1. Let y be (-9 - -15) + (4 - 2). Suppose 0 = 12*n - 28 - y. Give f(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n\/(n**(-9)\/n))\/n))\/(n**4*n)*(n**(2\/9))**(15\/8)*(n\/(n*n**(1\/8))*n)\/(n\/(n\/((n*n*n**5\/n*n)\/n)))*n**(-1)*n**(-2\/7)*n assuming n is positive.\nAnswer: n**(-3359\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 11:24 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06381*2.\nAnswer: 0.12762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 2, a: 1, l: 11, r: 2, s: 1}. Give prob of picking 2 l and 1 c.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 600 = -104*v - 3*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -17 - (0 + -1 + 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 5:55 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291909742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*(-1 - 2). Let a = -650 - -654. Sort -3, a, w in descending order.\nAnswer: a, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 248 + 0?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*q - 20, -4*q + 0*n - 23 = n. Which is greater: q or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 5:37 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -190*x - 1. Is y(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6075 - 3078 + 386 + 6230)*(3 - 5 + 1)*(3*i + 2 - 2).\nAnswer: -28839*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*j**3 + 326*d**2 + 128*d*j**3 - 1 with respect to j.\nAnswer: -6*d**2*j**2 + 384*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 11. Let u be n(4). Suppose -6*i = -3 - u. Suppose i*o = 3*o. What is the third smallest value in 2\/13, -0.3, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 127218407 or 127218408?\nAnswer: 127218408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 4*v + 1. Let b be k(4). Suppose -3*t + 4 = b. Suppose -t = -4*i - 5*m + 2, -i = 4*m + 2. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -326 - -1079. List the prime factors of q.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 39 = 4*b - 149, 6 - 16 = -b + 280*i - 283*i for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 - 4*b - 3. Let w be j(2). Let q = 126 - 99. Calculate the highest common factor of w and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182900780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -916.1 - -855. What is q rounded to zero dps?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 7*r - 539. Suppose r + 51 = a. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -4) + -40 + (1 - -13).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2232 + -0.0222. Let y = 0.299 + q. Which is the second smallest value? (a) -0.06 (b) -4\/5 (c) -2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 108*s**2. Let i(l) = 4921*l. Give u(i(p)).\nAnswer: 2615354028*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - j - 5. Let c be 1026\/540 + (-6)\/15. What is the fourth biggest value in 6\/13, -3, c, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -538*p**3 + 74*p**2 + 2*p + 269*p**3 - 2*p + 272*p**3 as m + s*p**2 + x*p**3 + g*p and give s.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/(4 - (-24388)\/(-6096)). Let l = v + -419. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-5)*5\/(-2). Suppose 0 = 2*n - 8 - 0. Let r(b) = -n*b + 0*b**d - b**2 + 4*b. Let g(v) = -2*v. Determine g(r(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -142 - ((-62 + 20 - -15) + 5)\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1076*d**2 - 257259*d + 940565031 wrt d.\nAnswer: 2152*d - 257259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -220120033 (base 4) to base 12\nAnswer: -7b867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/5 + 41814\/4545\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997221463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6154, -12358, -18602, -24886, -31210?\n\"Answer: -20*o**2 - 6144*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/120 + w**5\/15 + w**4\/8 + w**3\/3 - 3*w**2. Let o be r(-2). Factor x**2 + 0*x + 0*x**4 - x**3 + x - x**o.\nAnswer: -x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93352 = 2*b - 6*i + 8*i, i = -4*b + 186710. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**3 + 649324*n**2 - 3246720*n = 0.\nAnswer: -162336, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 >= -270\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -586*f**3 - 9*f + 4*f + 1174*f**3 + 6*f - 590*f**3 + 484.\nAnswer: -2*f**3 + f + 484","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 15411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7767a (base 16) to base 9.\nAnswer: -824804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -551220041?\nAnswer: 551220041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 228*r + 2763. Let c be o(-12). Solve -31*k = -c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-13)*((y*y**(-7)*y)\/y)\/y*((y\/(y\/y**(-3)))\/y)\/y**14 assuming y is positive.\nAnswer: y**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -16184230606.\nAnswer: -16184230601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/7 (c) 2\/25 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.376438 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8148458?\nAnswer: 2, 139, 29311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152821 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149479 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*a**2 + 8\/5*a - 24\/5.\nAnswer: -2*(a - 6)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 10 = 4*u + 3*a, 0*u - 4*u - 1209 + 1189 = -2*a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*-2 + sqrt(147) + -5)**2*-5.\nAnswer: -860 - 350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13 + 2*d**3 + d**4 + 0*d**3 + d**2 - 3*d as k*d**3 + v*d**2 + u*d + a + h*d**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 8. Let h(y) = 708*y**2. Calculate l(h(j)).\nAnswer: -708*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 + 8*u)*(-3*u**3 + 6*u**3 - 2*u**3).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, b: 1, e: 1, t: 5, z: 5}. What is prob of picking 1 e and 2 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433*f - 414*f = 95019. What are the prime factors of f?\nAnswer: 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6315 greater than -6200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48056160 by -30.\nAnswer: -1601872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35917 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, and 1 v when three letters picked without replacement from {x: 5, v: 1, q: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 94638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 1134, 2\/7, -2, 204.95, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*h = 61 - 131, 0 = 5*i + 28*h + 57 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 49 + 197?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/30 - (-57)\/(-15). Sort -1, x, -4 in ascending order.\nAnswer: -4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -642, -2306, -4992, -8700?\nAnswer: -13430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 174999 - 174980.01675. Let v = -0.02175 - j. Let n = v - -19. Round n to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-224)\/(-1386) + 5\/45\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3202 + -3202.1. What is the second smallest value in 0.2, 2\/5, 4\/3, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/617 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + u + 10, -5*c - 7*u = -2*u - 10. Suppose 2*p - 10 = 0, -a + c*p - 35 = -4*a. Solve -2*t + t + 10 = a*n, n - 23 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnn when three letters picked without replacement from ccncccnehhccce?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = -2*c + 5*w, 4*w + 8 = 4*c. Is (c - 2) + 3 + 123 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.1364957?\nAnswer: 0.4094871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 6*l - 3*l)*(-5*l + 303125 - 303119 + 48*l)*(-4*l + 1 + 4*l - l**2) in the form n + g*l + h*l**2 + x*l**3 + j*l**4 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 8\/3*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508661 is divided by 495?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24844*(-1)\/(-4) + 6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 103.405155 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 60314149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -612 + 615. Let s(n) = -n**2 + n - 7. Let p(q) = -q**2 + 2*q - 6. Let z(l) = 4*p(l) - 3*s(l). Let o be z(5). Sort u, o, 4.\nAnswer: o, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520 and 1896.\nAnswer: 123240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -110. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.25 - -1.25. Let w = x + -1.7. Which is the biggest value? (a) -2\/9 (b) -2\/17 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*m*q - 2*m - 566*q wrt m.\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 375, -1, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 9:47 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(432)*-5)*-4.\nAnswer: 20 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 < 185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.22 - -7.78. Let h = b + -10. Let y = 0.25 - 0.15. Put -0.5, h, y in descending order.\nAnswer: y, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4696 - -4701. Put v, -5, 2, -45 in decreasing order.\nAnswer: v, 2, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 8003\nAnswer: 4001.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/27 and -10\/25017.\nAnswer: 225153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317 - 294. Let k(n) = 37*n - 13. Calculate the remainder when k(4) is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113.7532 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 53\/3 - ((-5)\/15 - 0). Suppose 36*q = 33*q + s. Solve 5*c = -q - 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339387.\nAnswer: 3, 29, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w + 361. Suppose 9*p = -1 - 161. Let v be m(p). Solve -g = v + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3 - u**2\/2 - 2*u + 14. Let m be (-54)\/(-14) - (-5)\/35. Let f be s(m). What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 934362968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 + -151. Which is the closest to 3\/5? (a) -2\/7 (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97539 = -39854*c + 38255*c for c.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286\/(-156)*(-45)\/(-33).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 4*i**2 - 4*i - 2. Let w(f) = f**3 - 2*f**2 - f + 4. Let h be w(2). Suppose -h*c - 6 = c. Determine j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4059, -4065, -4081, -4113, -4167, -4249?\nAnswer: -4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:21 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 14 - 2) + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:37 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 5068?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19260785 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 515*f**2 + 82779*f\/4.\nAnswer: f*(f + 41)*(f + 2019)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**1*c))**(-8\/15)*(c**1)**(-7\/3))\/(c*c*c*c*c**(-2)*c*c**(-3)*((c\/(c\/(((c\/(c*c\/(c*c**(1\/3))*c)*c)\/c)\/c*c)))\/c)**(-12\/13)) assuming c is positive.\nAnswer: c**(-217\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 7. Let x be v(-16). Suppose x = 4*p + p + 3*w, 0 = p - w - 5. Suppose -2*i = -1 - p. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29087*o**2 - 14540*o**2 - 14544*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*l - 481823 - 204676. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -16007*a + 63766. Determine d(4).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4905488000 to the nearest one million.\nAnswer: -4905000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.7354037 microseconds?\nAnswer: 0.000000028923395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**5\/5 + 2*i**3\/3 - 57*i**2\/2 + 44. What is the second derivative of n(a) wrt a?\nAnswer: 12*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjjtugjjjwajuj. What is prob of sequence wjt?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.9, 1, -1 in descending order.\nAnswer: 5, 1, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102982 and 2743066?\nAnswer: 30173726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((40\/36)\/5)\/((-200)\/(-150))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -99, 2\/3, -0.3 in descending order.\nAnswer: 2, 2\/3, -0.3, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 51 (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/25 and -35\/24.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -5, -2839, -2, -1, 4 in increasing order.\nAnswer: -2839, -33, -5, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 2 = -2*y, -4*y + 0*g + g = -14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 5 + -10 + 57\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126837, 124956, 121807, 117378, 111657, 104632?\nAnswer: 96291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 - o**3 - 4*o**3)*(-34 - 29 - 27 + 55) + (-o - 1 + 1)*(0 - 2*o**2 + 0) + 31*o**3 - 12*o**3 + 7*o**3.\nAnswer: 203*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1101 - -1153) + (1 - 37).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c. Let k = 223 + -219. Differentiate -4*t - 6 + c*t**4 + k*t + 17*t**4 wrt t.\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 46*n**2 - 27*n**2 - 10*n**3 - 1 - 21*n**2 in the form x*n**3 + p*n + h + l*n**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 10. Let k be p(3). Suppose -k*g = -8*g - 27. Calculate the least common multiple of 3\/1 - ((-9)\/3)\/g and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1224\/(-2550)*10\/15. What is the biggest value in -1\/4, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 179*f - 6584. Let p be u(37). Solve 4*n = -34*q + p*q - 2, 0 = 3*n - 4*q + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -15. What is the greatest common divisor of 100 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-1172))\/(3\/(-79158)). Let n be 3 - 1 - 1770\/879. Let d = n - a. What is the common denominator of -87\/20 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02851 to 3 dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 825 and 33.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 22, -0.9 in descending order.\nAnswer: 22, -0.9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642.038m in centimeters?\nAnswer: 464203.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18470 is divided by 1025?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 2451*q - 36261. Calculate m(15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 170 + -118. Let s = c - 51.9884. Round s to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*k - 10408 - 56408 = -412*k for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4*b - 9 + b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 98 = 92. Let p(s) = s**2 + 8*s + 4. What are the prime factors of p(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9677*x + 9690*x - 78 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from {t: 1, d: 1, z: 1, j: 1, l: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q + 5. Put 1, q, 5 in descending order.\nAnswer: 5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 9*g + 1. Let u be m(11). Suppose -5*j - 3 + u = 0. Suppose 2*y + 2*y + 3*s = 309, -4*s - j = 0. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59391376*p**3 + 5917074*p**2.\nAnswer: -356348256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*m - 5, -4*m = -j - 4*j + 35. Suppose g = j - 1. Solve 0 = -5*o - 2*a - 10, -o - a + 0 - g = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddixcqz. What is prob of sequence qx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*i**4 + 34*i**3 + 42*i**3 - i - 72*i**3 to p*i**4 + h + w*i**2 + n*i**3 + u*i and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 979 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1599 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i**3 + 783*i**2\/4 + 639*i\/4 + 3 = 0. What is i?\nAnswer: -4, -1, -1\/52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*m + 34, 3*m + 18 = y - 0*m. Suppose -2*o - 13*d = -y*d - 11, 42 = 4*o - 2*d. What is the tens digit of (o\/12*-21)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44525833 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*o - 12*o + 4*o**3 - 4 - 12*o + 75*o**4 + 3 + o**2 as g*o**3 + l*o + t*o**2 + r*o**4 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5749\/19 or -304?\nAnswer: -5749\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*r - 4675 = -354*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*j**5 + 880*j**4 - 1840*j**3 + 1100*j**2 - 120*j - 36 = 0. What is j?\nAnswer: -1\/8, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40557972 by 10139493.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, -5, 8 in descending order.\nAnswer: 8, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -30, 0, -11.\nAnswer: -30, -11, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 <= 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w**2 - 166*w + 7. Calculate the smallest common multiple of b(-11) and 43.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.9292486+0.48\nAnswer: 11.4092486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22119409 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.29822872 + 0.39008?\nAnswer: 2.68830872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -1.67. Let g = q + -1.7987. What is g rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41617796?\nAnswer: 2, 11, 613, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a - 2*a. Suppose 0 = 4*i - a*i + 4. Calculate the remainder when 25 is divided by 18 - i - (0 - -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/25)\/(((-320)\/(-25))\/(-4))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h - 2*h - 5*h**2 + 3*h - 52*h**3 + 18*h**2 + h wrt h?\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from uuuuuuuusuuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76467*j + 146*j**5 - 7*j**3 - 23*j**5 - 76078*j wrt j?\nAnswer: 2460*j**3 - 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12 = -9*h. Suppose 3*y = 3*l + 204, -y - 2*l = h*y - 224. Let j(g) = g**3 - g + 25. What is the remainder when y is divided by j(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 3\/7 (c) 2 (d) 1.2 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(693) + sqrt(693) + sqrt(693))*-2)\/sqrt(11))\/(sqrt(9)*1*-1 - (sqrt(1296) - -2*sqrt(1296))).\nAnswer: 2*sqrt(7)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -5 + (-5 - 32\/(-2)). Suppose 4 = -3*v - 5*u + k*u, 4*v - 16 = -4*u. Solve -2\/5*c + 1\/5*c**v + 0 = 0 for c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5418088 is divided by 2176.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1002222313 (base 4) to base 12\nAnswer: -112047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.5, 1, -17788, 10\/19, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = 20. Let z(a) = -a**3 + 4*a**2 + 8*a - 7. Let r be z(k). Does 2 divide 8\/3 + r\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l - 3. Calculate v(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-28) + (-44)\/42\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w - 10. Let c be v(3). Let n(j) = 7 + 5*j - 4*j - c. Determine n(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356451 is divided by 29704.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -54105000 rounded to the nearest one million?\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*b + 11, 3*o = 2*b + 3*b + 4. Let q be (5 - o) + 1*-2. Are q and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o**2 + 2)*(-o**2 - 4*o + 4*o) - 4*o**4 + 2*o - 5*o + 5*o**4 + 5*o**3 - 5*o**3 + 2*o**4.\nAnswer: o**4 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -1\/15*j**5 + 5\/18*j**4 + 1\/3*j**2 + 0 - 2\/15*j**6 - 3*j - 5\/126*j**7 + 1\/2*j**3. What is s in f(s) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 16*t**2 - 15*t - 10. Let s be z(-10). Suppose -3*l + s = -d, -5*l + 3*d - d + 900 = 0. What is the greatest common factor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.027 - 0.129. Let u = r + 3.102. Which is the biggest value? (a) -0.3 (b) u (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**6\/120 + l**5\/6 + l**4\/12 - 3*l**3\/2 + 5*l**2. What is the remainder when 42 is divided by c(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2 - 42*t - 4 - 7 - 15*t. Let q be o(-2). Suppose -2*s + q = s. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + -0.1. Suppose -24*l - 444 = -12. Let o be (l\/(-10) - 1)*30\/12. Which is the nearest to -2\/9? (a) o (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.054 + 0.054. Let a be 1\/3 - (-315)\/27. Let q be (-3)\/a + 21\/4. Sort q, -0.01, z in ascending order.\nAnswer: -0.01, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10079192, 10079189, 10079186?\n\"Answer: -3*r + 10079195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/4 + 21*a**4\/4 - 97*a**3\/4 + 79*a**2\/4 + 24*a - 25 = 0. What is a?\nAnswer: -25, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2874 is divided by 263?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 528004707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/51)\/((-12)\/(-6246)). Let t = p - -143. Let m be (3 - 1)*(-3)\/(-8). What is the nearest to -0.1 in m, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 4. Let a be k(-5). Let x be (a\/(-6)*2)\/(-1). Let g(s) = -7*s**x + 6*s**2 - 8*s**2 + 0*s**2 + s**2. Give g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**3*m*y - 4*h**3*y + 2*h**2*m**2*y - 2*h*m*y + 73*h*m + 2*m**2 wrt h?\nAnswer: 120*h*m*y - 24*h*y + 4*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 1 + (1 - -4) - 1. Let b be 6\/(-63)*3*-7. Solve 0*f - 2*f = 4*m - q, f - 5 = b*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138502 is divided by 762.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21884223*w + 27*w**2 + 21884223*w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -67*s**2 + 25*s + 20. Let o be a(16). Let x = 32691 + o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.333 + 0.253. What is the nearest to -1 in -6, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*b**2 + 14*b**2 + 4*b**2)*(4*b**2 - 4*b**2 + 2*b**2) + 4*b**4 + 130*b**4 + 57*b**4 as d*b**3 + l + h*b + c*b**2 + o*b**4 and give o.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from jjqqqiqqqqvqqvjqw?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u. Let j = -32 + 51. Let o(h) = 2 + 0 - j*h - 2. Calculate x(o(f)).\nAnswer: 38*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6*x = -x. Solve 6*f = 5*n + f - 15, -f - 3 = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, -6, -26, -56, -96, -146?\n\"Answer: -5*x**2 + 5*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -79 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 325, 1335, 3025, 5401, 8469, 12235, 16705, 21885?\n\"Answer: n**3 + 334*n**2 + n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -2. Let b = -1\/6 + -1\/66. What is the closest to -1 in -2, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m + m + 23*m)*(0 + 2*m**3 + 0).\nAnswer: 68*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2274*t - 2448*t + 11220 + 10878 = 0 for t.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 31.5. Let o be (2 + -2)\/(-2)*1. Let l be o + 2 - (-32)\/(-14). What is the third biggest value in -1\/4, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1752)\/(-9))\/(4\/6). Let t = a - 113. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-5))\/((-1)\/(-5)). Let q(t) = t - 1. Let m be q(w). Let l(s) = 14*s + 2*s**2 - 40*s - 1 + 17*s + 13*s. Calculate l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10170 divided by -1130.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, f: 1, d: 3, g: 3}. Give prob of sequence gzd.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918975469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 12:35 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-8 + 8 + -9 + 8 + -3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-62 - 37 + 163)*(-w - 2 + 2).\nAnswer: 128*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80583264 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/125 + 144\/5. Suppose 37 - g = 4*s. Factor -4\/3 - 1\/3*c**3 - 11\/3*c - 3*c**s + 1\/3*c**4.\nAnswer: (c - 4)*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17\/5*a**5 + 0*a - 2\/5*a**3 - 3*a**4 + 0*a**2 + 0.\nAnswer: a**3*(a - 1)*(17*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 12. Let j = -4 + 24. Calculate the smallest common multiple of j and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.3 - -12.6. Let q = v - -29.7. Let p = 37.000088 - q. Round p to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 3*u - 81*u + 162472 = 0. Calculate the remainder when u is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2230666 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*t - 59*t - 16581 = 5667. What are the prime factors of t?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(-3*sqrt(11)) + -2.\nAnswer: -2 - sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.69162 to one decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 3:21 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5203395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 - 197. Let i(k) = -k**3 - 17*k**2 - 17*k - 13. Calculate the remainder when 18 is divided by i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2570583046.\nAnswer: 2, 997, 1289159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8605581.300254 + -8605598. Let f = t - -16.7. What is f rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 5*k**2 + 0*k**4 + 11\/30*k**5 - 1\/15*k**6 + 0 + 0*k**3 + 0*k. Find the third derivative of p(a) wrt a.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 1481*f - 2*f**3 - 5353*f - 5*f**2 + 3*f**3 + 10*f**2.\nAnswer: f**3 + 11*f**2 - 6834*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-6)*h**(-3\/10)*h*h**(-1\/2)*(h\/(h*((h**4\/h)\/h)\/h)*h)\/h)\/(h*h\/(h**(1\/2)\/h)*h*h**8\/h)**(2\/3) assuming h is positive.\nAnswer: h**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7114 divided by -29?\nAnswer: -7114\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:20 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13. Suppose -u*c + 333 = -559. Suppose -184 = -q + c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 1428.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1 = -f, 33*i - 29*i - f - 6 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + (-4 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-9 - -15 - 14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 100\/(-6)*4\/24.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 - q**2 + 0*q**2 + (3 - 3*q - 3)*(0*q - 2*q + 4*q) + 1 - 1 + 2*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -452078*r**3 - 409360*r.\nAnswer: -2712468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 747, 5, -41, 12 in increasing order.\nAnswer: -41, -3, 5, 12, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/((-102)\/16)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74383\/19 - 3915. Which is the biggest value? (a) 0.11 (b) -5 (c) 2 (d) 1\/9 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1594\/9 + 11987\/72. Let t = -2 + -2. Find the common denominator of f and (-82)\/t*2\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, -3\/7, 5 in increasing order.\nAnswer: -3.8, -3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1884 and -139\/18?\nAnswer: 5652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z**2 + 10*z - 6. Calculate n(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930 divided by -30?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjrprppgjgjrpjjg. Give prob of sequence jrg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**4 + 7*k**2 + k - 47. Let f(m) = -2*m**4 - m + 1. Let v(i) = -f(i) - p(i). Differentiate v(t) wrt t.\nAnswer: -8*t**3 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oar when three letters picked without replacement from {u: 1, a: 1, o: 2, r: 1, q: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.6796t to grams.\nAnswer: 25679600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 94 = 42*t. Let z(s) = -11*s + 0*s + 13*s - 3*s. Calculate z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11088 - 11088 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + 3 = 0. Suppose -f*t - 3 = 4*z - 2, t - 3*z - 4 = 0. Sort 4, -5, t, -1 in increasing order.\nAnswer: -5, -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 105*d - 99*d. Let u be (d - 2193\/(-1098))*4\/(-3). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**3 + 5*d - 5. Let o(k) be the first derivative of -7*k**4\/4 - 3*k**2 + 6*k + 21. Suppose 3*p - 5*p + 10 = 0. What is p*o(t) + 6*m(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.1, 0, 0.062?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51700041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 586028 minus 0.08?\nAnswer: 586027.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p + 3. Let x be v(-3). Suppose -34 = -2*y - 4*b, -3*y - b = 3*b - 61. Suppose x*r + y = 3*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose c = -2*z + 24, 5*c + 12 = o*z - 2*z. Calculate the remainder when z is divided by (1 - (-10)\/(-4))*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141564068.\nAnswer: 2, 35391017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2705446 and 4.\nAnswer: 10821784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13597 is divided by 3109?\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 397469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-1200)*8*-5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69.2 - 12.2. Let x = -292800.9938 + 292858. Let r = x - t. What is r rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/15235 + 11573\/42658. Let m = 1\/14 - y. Let v = 5\/3 - 37\/15. Which is the second smallest value? (a) -2 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-9)*(-6)\/(48\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -78.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -8, -0.1.\nAnswer: -8, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 10*z**2 - 2*z - 9. Let c be s(-10). Let i(l) = -303 + 303 - c*l**2. Let t(g) = 114*g - 114*g - 2*g**2. Determine t(i(f)).\nAnswer: -242*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4689 - -5764. Do 1074 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 + 2316*j + 94. Give n(0).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3815*g - 10. Suppose 34*i + 12 = 22*i. Is k(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -71?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v + 10\/7*v**3 + 8\/7*v**2 + 2\/7*v**4 + 0.\nAnswer: 2*v**2*(v + 1)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q + 2. Let w be v(1). Solve -2*d - 3 = -w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2938659.\nAnswer: 3, 979553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 6*a + 118160. Let h be b(0). Suppose 6*g - 20*g = -h. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 36 = -8*u. Let a be (u\/(-12))\/(1\/4). Let t = 0.7 + -1. What is the second biggest value in t, a, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*k - 7. Suppose -4*c + 9*c = -k. Is c <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 973868.\nAnswer: 973868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 + 9*j - 10. Suppose -17*a + 191 - 89 = 0. Give p(a).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 29 = 3*y - 7, -y + 2*n = -16. Solve -3*p - 19 = -2*a, y*p = -a + 3*a - 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413200221 (base 5) in base 2?\nAnswer: -11100110100000010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/20, 0, -7\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -45221 times -1\nAnswer: 45221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -7*j - 6*j + 3*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85369218, -85369224, -85369242, -85369278, -85369338?\n\"Answer: -w**3 + w - 85369218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2724*z**4 + 16771*z**2 + 25*z - 235177 wrt z.\nAnswer: 32688*z**2 + 33542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 7)*(w + 1 - 1 + 3 - 2*w - 3 + (w - w - w)*(-2 + 4 - 1) + 3*w + w - 6*w - 3 + 3 + 2*w)*(w - 5*w - 4*w).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53251*v + 53413*v = 7128 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 25*j - 3*j**2 - 62*j + j**2 = 0 for j.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.05082?\nAnswer: 0.20328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 20766?\nAnswer: -20764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*b*h**4 - 2*b*h**3 + 2*b*h - 28*b - 2*h**4 + 42*h**3 - h**2 + 285*h wrt h.\nAnswer: 2328*b*h - 12*b - 48*h + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373040073?\nAnswer: 3, 7, 173, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 + 12 = 0. Calculate the common denominator of 139\/12 and u\/16*(-496)\/(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r. Let p(g) = g**2. Let z(d) = -71*d**2. Let n(q) = -711*q**2. Let u(j) = -2*n(j) + 21*z(j). Let a(b) = 46*p(b) + u(b). What is x(a(k))?\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -286930 + 1230?\nAnswer: -285700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7120 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(320) + -2*sqrt(320)) - (-6*sqrt(40)\/sqrt(8) + -5 + 4).\nAnswer: -1 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (1 + -10 + -2 - (261 - 272)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrirrrrir. What is prob of picking 2 i and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -11. Solve -u = 0, 10*r - 15 = j*r - u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/5))\/q*q**(-1)*q**(-7)\/q*(q*q**(3\/7)*q*q*q)\/q*((q*q**(-2))\/(q*q*q**(-2\/11)\/q*q))\/((q\/(q*q**7*q))\/q**(-1)) assuming q is positive.\nAnswer: q**(-612\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2\/791, 14, -0.9 in descending order.\nAnswer: 14, -2\/791, -0.9, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y. Solve -2*b - b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39984 divided by -2856.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*(3\/(-18))\/((-9)\/297)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Which is smaller: n or 3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -47, -1, 45, 91?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8721*q**4*r + 6053*q**3*r - 162*q - 138768*r wrt q.\nAnswer: 104652*q**2*r + 36318*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 16*m + 18*m + 8 = 0, -m = 3*j. What is the closest to -6 in -1\/2, -0.4, 4, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 10. Let t be b(-8). Let m = t + 0. List the prime factors of m + 6 + (1 - 3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32236 by 8059.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 + 16*a**3 - 36*a**2 + 111*a + 6.\nAnswer: 12*a**2 + 96*a - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0)\/((-6)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 0 + 0)*(2 + 3*a - 2) + (4*a + 3*a - 2*a)*(-a - 2*a + a) as x*a**2 + r*a + h and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1692 (base 13) to base 14.\nAnswer: -12dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(63)*2*-1)\/(sqrt(54)\/sqrt(24)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m + 16. Let k(r) = -14*r + 47. Calculate 4*k(p) - 11*o(p).\nAnswer: -p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 2, g: 2}. Give prob of sequence jj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100778862 by -3.\nAnswer: 33592954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.4 and -5954.\nAnswer: -5937.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*b = -2*c + 5*c + b - 43, -4*b + 7*b = -3 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3 - 8*k**2 + 1288*k + 1 wrt k?\nAnswer: 6*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:33 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/25 + 42543\/15. Suppose -v = -5*x + x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -398*j**3 - j**2 - 8*j - 6. Is 16 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/3)*(m*m**2)\/m)**(-3\/17)\/(m**8*m**3\/m*m*m*(m*m\/(m\/(m\/m**(-3\/7))))\/(m**(1\/9)*m)) assuming m is positive.\nAnswer: m**(-14326\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -360, -359, -358, -357?\n\"Answer: s - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -79*c - 3152. Give a(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 10*m + 26 = -4, l + 4*m = -25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 48\/5*i**5 + 2\/3*i**6 + 0*i**3 + 11*i**4 + 0*i + 0*i**2 - 66. Factor r(z).\nAnswer: 4*z**3*(z + 1)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75740.29ug to grams.\nAnswer: 0.07574029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 3*c**2 + 4*c**2 + (-2*c + 5 - 5)*(1 + c - 1) - 51*c**2 - 52*c**2 + 7*c**2 + (1 - 1 + c)*(0*c - c + 3*c).\nAnswer: -95*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-575382)\/15980 - -36)\/((108\/(-55))\/2) and 73\/12?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2894, 2865, 2788, 2639, 2394, 2029, 1520?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 2*a**2 - 33*a - 79. Calculate c(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, -3, -2 in descending order.\nAnswer: 24, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 10) to base 16.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 712006 divided by 17.\nAnswer: 712006\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/7*(-57)\/114.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1200*u**2 + 1210*u**2 - 2418*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -88636 divided by 1?\nAnswer: -88636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5452302\/1873 + 2911. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 4*y**2 + 9*y - 4. Let j = -31 + 37. Suppose -24 = 9*x - j*x. Does 45 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.05 - 1.15. Which is the closest to -1? (a) 2\/15 (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710253 + 264346 = -5791*w for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113630 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 164976 = -o. Suppose -3*t - 91748 + o = 0. What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b + 1. Let x(w) = -47*w - 91. Determine 6*m(o) + x(o).\nAnswer: -71*o - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**2 + 35*i**2 - 9*i**2.\nAnswer: 58*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 277566*x**3 - 2498256*x**2 + 7494930*x - 7495011.\nAnswer: 3*(x - 3)**3*(x + 92531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1668, -3330, -4992, -6654, -8316?\n\"Answer: -1662*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k = -22*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707645179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 2*j + 1. Suppose -25 = -58*t + 63*t. Determine p(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*s - 12504004, -20 = 4*s - 12. What is k rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q = -104*q + 665 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33232 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 8) to base 4\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**2 - 388224*m + 7377339 = 0. Calculate m.\nAnswer: -129427, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/10 + (-3)\/(-6). Let v = -6.7 + 7. Let h(u) = -u**3 + 288*u**2 - 1955*u - 3384. Let r be h(281). What is the biggest value in v, s, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 + -28.8. Which is the closest to 3\/4? (a) -3 (b) -2\/7 (c) p (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from thszyssysvttttss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584.6 + -584.8879. What is g rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 22*p**2 - 9*p - 16*p - 42 + 9*p - 23*p**2 - 18. Let o be n(-6). Solve b - 3*b - 10 = o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + 24 + (-442 - -543).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1*j))**(1\/30)*j**(-4\/7)\/j*j*j*j*j*j*((((j*j**(-2\/9))\/j)\/j)\/j)\/j*(j**(-4\/5)*(j\/(j\/(j*(j\/j**(1\/14))\/j*j*j)))\/j)**4 assuming j is positive.\nAnswer: j**(2953\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6 and 14\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 - 8*s + 8. Suppose 4*v = 5*r + 32, -4*r + 0*r - 40 = 4*v. Let k = -16 - r. Is j(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -619 - -14235\/23. Which is the closest to 0.1? (a) -0.3 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -128340 - -302?\nAnswer: -128037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 3*y**4\/4 + 5*y**3\/3 - 2*y**2 + 6*y - 19. Let f(i) = i**3 - i - 1. Let q(z) = 2*f(z) - n(z). Give q(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 + 42 = -31*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 84*w - 3277. Give t(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 2 = 11*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/91, -2\/5, -3\/8 in descending order.\nAnswer: 2\/91, -3\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419031017?\nAnswer: 3, 19, 8298427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 6a85e?\nAnswer: 6a860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 5*p**2 + 3*p - 11. Let u be x(5). Suppose -f + 22 = 5*y, 9*f - u*f = -y - 10. Suppose -4*g + y = -3*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v*v**(1\/5))\/v**(-1\/6))**(10\/13)\/((v**(-1\/2)\/(v\/(v*v*v*v**(-1\/2))))\/((v*v**1)\/(((v\/(v*v**(1\/8)*v))\/v)\/v))) assuming v is positive.\nAnswer: v**(2335\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 781818367.575 + 332654505751.425. Let v = n - 333436323967.999999917. Let w = 151 - v. What is w rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4185 - -4192. Which is the second smallest value? (a) 1.1 (b) -13 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - f + 5*f - 111*f + 2*f + 28*f + f + 3 - 3 + (4 - 4 + 2*f)*(5 + 1 - 5) + 4*f - 2*f + 2*f as d + s*f and give s.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z**2 - 280*z + 2917. Calculate x(10).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1)\/((-35016)\/(-3184) - 11). Let k be 0 + 5 + -5 + j. What is k rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/7 + 3602566*g**4\/7 + 1622319229436*g**3\/7 + 8111531301108*g**2\/7 + 11356119324162*g\/7 + 4866903649926\/7 = 0. What is g?\nAnswer: -900639, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 457 + -15082\/33. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 361 + 47. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7811888 kilometers?\nAnswer: 781188800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v - 5 = 0, 0 = -3*q - 5*v + 38. Is 235\/3 + (-7)\/q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/323, 15\/2, 4 in descending order.\nAnswer: 15\/2, 4, -4\/323, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(14)\/sqrt(2))*-1 + -2.\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -1, 26, -2 in ascending order.\nAnswer: -3, -2, -1, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5*i*x + 139*d**3*x - 631*d**2*x - d*i*x + 2*x wrt d.\nAnswer: 60*d**2*i*x + 834*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 671*y**3 - 1345*y**2 - 673*y.\nAnswer: y*(y - 673)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47672645 = -2*w + r, -5*w + 0*r - 119181620 = 5*r. Let m = w - -121036323. Suppose 4*b = -0*b - m. What is b rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -67. Solve s = -4*w + 1, -29 = 2*w + n*w - 5*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {m: 4, d: 4, z: 2, w: 6, p: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v + 11. Let t be n(-7). Suppose 9*z - 4*z + 2*o = 29, -2*z = -t*o - 2. Solve -z = b - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -2*b**3\/9 - b**2\/3 + 4*b + 23. Determine y, given that g(y) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*k + 114, 2*m - k - 287 = 5*m. Let b = 50 + m. Let t = b - -204. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g - 2477208 = -65*g + 4*t, 5*t - 2477190 = 4*g. What is g rounded to the nearest 10000?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/3, 5, -39\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 250, -1100, -1, 4.\nAnswer: -1100, -1, 4, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 30*b - 81. Give w(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*t + 4*i, -t - 3 = -3*i + 1. Let b = t - -22. Let p be (30\/9 - 3)*b. Solve -4*q = p - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 3*m. Suppose -5 = m*l - 14. Suppose l + 8 = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 26*r**2 - 19*r + 223. Calculate f(-27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 - 10001111001110100?\nAnswer: -10001111011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -257, -635, -1321, -2393?\nAnswer: -3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/((v\/(v**(-1\/13)*v*v*v))\/v) assuming v is positive.\nAnswer: v**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/60 and (-1)\/2*437\/(-1254)*3.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 293.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 6*m**2 + m + 4. Suppose 3*r = -2*y + 6*y - 18, -8 = -3*y + 5*r. Let b be k(y). Suppose 2*i - b = 28. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*z + 0)*(-68 + 65 + 561*z**3 + 296*z**3 + 7*z**3) in the form o*z**3 + r*z**4 + s*z + a*z**2 + n and give r.\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 4*a**2 + 6*a + 7. Let i be h(-5). Let o = 5 - i. What is the remainder when 5 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73538 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - 5*d - 4, -5*u - 3*d = -12. Let m = -3618 + 3627. Solve -3*f = -4*f + u*t + m, 4*f - 5*t - 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334752408 to the power of 1\/3, to the nearest integer?\nAnswer: 1494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-1 + (-4)\/(-12)). Suppose -668 = -4*s - 2*l, 4*l + 0*l = t*s - 314. Suppose 0 = -5*z + 195 + s. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -12, -1\/5, 3, -1\/10 in decreasing order.\nAnswer: 3, -1\/10, -1\/5, -3\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60 in -0.5, 1\/2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 - 77*c - 6. Let f(v) = 4*v**2 - 7*v - 1. Let i(y) = -11*f(y) + u(y). Let r(m) = 25*m**2 - 3. Calculate 5*i(x) + 8*r(x).\nAnswer: 10*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.3163382718 - 2?\nAnswer: 40.3163382718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -50\/3, -14.32, 2, -4?\nAnswer: -14.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - k. Let d(r) be the first derivative of -5*r**3\/3 + 4*r**2 - 8*r - 61. Let p(i) = 6*a(i) + d(i). Determine p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 17*w**2\/2 + 12467*w\/2 + 37349\/6.\nAnswer: -(w - 221)*(w + 1)*(w + 169)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -18 - 329*v - 17 - 3 + 45. List the prime factors of t(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/30635 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -290, -578, -866?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5)*(21 + 279951\/(-13335))*(-20)\/(-40)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 + 64. Suppose -4*v = v - a. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 783*c**5\/5 - 4970*c**3\/3 + c - 41. What is the second derivative of d(s) wrt s?\nAnswer: 18792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22809?\nAnswer: 3, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5738*b**2 + 17*b + 93125 wrt b.\nAnswer: 11476*b + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -705 + 705 - 42*d to j*d + z and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, s: 13}. Give prob of picking 2 i.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*y = -65*y + 987. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 4*j**2 + 3*j + 4. Let i be g(-3). Suppose -y = -5*t + 17, -i*y + 20 = -0*t + 2*t. Solve -5*h + 3*p - 20 = -2, 0 = 2*h + t*p + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.3. Let y = -0.2 + j. Let p be ((-4)\/(64\/12))\/(36\/(-32)). What is the biggest value in p, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + p + 0*p = 1, p - 7 = y. Let w be (-3 - 10\/y)*93. Let l = -14 + w. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(273))\/sqrt(7))\/(sqrt(3) + sqrt(48)*5).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 - 4*t - 31. What are the prime factors of q(5)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21679910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -500*x. Let i(s) = 222*s**2 + 2*s - 2*s - 103*s**2 - 113*s**2. Determine o(i(g)).\nAnswer: -3000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 15612778\nAnswer: 1561277.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 4. Let i(j) = -j**2 + j + 5. Let w = -56 + 54. Determine w*i(h) + 3*d(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 11. Let w be l(20). Let d(c) = -c**3 - 7*c**2 + c + 9. What is the units digit of d(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373131849 to the nearest integer?\nAnswer: 19317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018529408177 rounded to five dps?\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*h = 34*h + 1017 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 2.3. Let u = z - 5.3. Let o = u + 2.6. Which is the closest to o? (a) 3\/5 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1103 + -1102. What is the closest to h in -5, 4\/3, 2\/7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/23, 5\/6, -0.1, -2\/9?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50085 * 0.4.\nAnswer: -20034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 6*n. Let x be k(3). Let a be 3*3\/63 + x\/14. Factor 5*r**2 + 91*r**5 - 181*r**5 - 5*r**3 - 6*r**4 + r**a + 95*r**5.\nAnswer: 5*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n - 21*n + 204. Let o = -184 - -268. What is the greatest common divisor of o and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:45 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 157994 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:39 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 3*i**2 - i - 2. Let o be d(-2). Solve -3*x = -a, 4*a + o*x = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*w - w = 3*f - 46, 25*w - 29*w + 16 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16 - 15)\/(1\/9) - 4. Solve y*j - 5*m = j - 4, -5*j + 28 = 2*m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 382, 431, 496, 577, 674, 787, 916?\n\"Answer: 8*c**2 + 25*c + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*o + 29*o + 1584 = 52*o for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1768225051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*z**3 - 41651319*z**2 + 20825653*z**2 - 327*z**3 + 20825666*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117990108 to the power of 1\/2, to the nearest integer?\nAnswer: 46022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*t**3 - 1497*d**2 - 811*d*t**2 - 2*t**3 wrt d?\nAnswer: -6*d*t**3 - 2994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80\/3 - 27. Let p = -52 - -30. Let g = 20 + p. What is the third smallest value in g, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from xmmimmicmigxmxcg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*d = 187*d + 93 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0.1 (b) -0.49 (c) 2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**6\/3 + 3*r**5\/10 + 139*r**2 - 7*r - 9. What is the first derivative of a(b) wrt b?\nAnswer: -40*b**3 + 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aii when three letters picked without replacement from ivvvvvamiav.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.4 - 33.4. Which is the nearest to 3? (a) f (b) -0.05 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216086, 1216383, 1216680?\nAnswer: 1216977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4\/(-2))\/(-2))\/(5\/45). Suppose -12*b = -y*b - 705. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120012200200101 - -1?\nAnswer: -120012200200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gts when three letters picked without replacement from stsggggggg.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - k = -10, -f + 5 = 2*k - 0*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:39 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 5, x: 3, q: 2, s: 1, e: 1}. Give prob of picking 2 u.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -130537 and 71217.\nAnswer: -59320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f = 92*f + 3. What is the least common multiple of f and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 2*c**2 - 3*c. Let i be 1\/4 - 14\/(-8). Let f(n) = -7*n**2 - 120*n - 7. What is the remainder when z(i) is divided by f(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - x. Let u be n(1). Let w be (u\/9)\/(4\/(-24)). Let z(f) = 2*f**2 + 3*f. Calculate z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**4\/30 + 9*k - 1. Let i(a) be the first derivative of w(a). Find j such that i(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eimeiii. Give prob of picking 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600) - (1*sqrt(2600) - sqrt(2600)))\/(-2*sqrt(128)))**2.\nAnswer: 325\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 134*x\/7 + 28300.\nAnswer: -2*(x - 350)*(x + 283)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/5 - 7788*k\/5 - 2487186\/5 = 0.\nAnswer: -3543, -351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(-1 + -179). Suppose 0 = 5*g - 0*g - m. What is the tens digit of ((-8)\/(-12))\/(1\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.34? (a) -22\/551 (b) -2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i + 94*i - 20 = 5*x, -5*i = 3*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4198336214 less than 0.24?\nAnswer: -4198336213.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 - 2457*t - 19721. Determine r(-8).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10111 + -13?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v + 50. Let y be 2756\/234 - 4\/(-18). Suppose 7*u - v*u = -y. Sort 3, -4, u in decreasing order.\nAnswer: u, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8548?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 148*x = -143*x - 43, -k - x + 11 = 0. Calculate the remainder when ((-24)\/28)\/((-2)\/56) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*34\/(-612)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1038117 by -3.\nAnswer: -346039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**10\/1260 - q**6\/360 - q**3 - 4. Let f(h) be the third derivative of p(h). Find the third derivative of f(z) wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8732, -34915, -78554, -139649, -218200, -314207, -427670?\nAnswer: -558589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-85)\/(-30)))\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.8306 + -1.8306. Let f = 0.4 + -0.7. Let n = 0.2 - f. Sort n, 1\/3, -1.8, j.\nAnswer: -1.8, 1\/3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w**2 + 5 + 28 + 49.\nAnswer: 40*w**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 2)*(-67 + 77 - 73)*(z - 5*z - z) in the form n*z + p and give n.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*u - 10, 5*q - 22 = 3*u + 13. Let j = 13 - q. What is the least common multiple of j*((-2)\/(-3))\/(2\/20) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 6 = 4*q + y, 0 = 4*q + 2*y + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2111, 5617, 9123, 12629?\n\"Answer: 3506*v - 1395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66129896 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -l - 0*l + 9, -b = -5*l + 17. Let y(j) be the first derivative of -2\/5*j**5 - 1\/2*j**4 + 2\/3*j**l + j**2 + 2 + 0*j. Let y(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103a5 (base 13) in base 12?\nAnswer: 14a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*g - 540 = 585*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14328 by 1592.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m**3 - 5*m**2 - 5. Let x = 10 + -7. Let i(y) = -5*y**3 + 3*y**2 + 3. Let w = -33904 + 33909. What is w*i(v) + x*z(v)?\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*j**6 - 22*j**5 - 651*j**2 wrt j.\nAnswer: -6000*j**3 - 1320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 9643*l + 48193. What is f(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f + 2*f)*(0*f**2 - 2*f**2 + 0*f**2) + f - f + 2*f**3 + 17*f**3 + 6*f**3 - 6*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 365*d - 3311 - 357 - 1807 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-90)\/8)\/(2\/(-8)). Suppose -2*p - 2*h + 3*h = -35, 3*p + h = r. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnvvvvvvnvvvvnvnv. What is prob of picking 3 v?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1416132 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from fqppggxv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 30 = 16*h. Let q = 16 - 22. Let x(i) = i**2 + 7*i + 9. Let z be x(q). Solve z*u + h = 4*s, -2*s + u - 10 = 6*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Suppose w + 8*s + 18 = 3*s, 5*s + 16 = -2*w. Let t be ((-9)\/3)\/((3\/w)\/(-1)). Let v(d) = 3320 - t*d**2 - 3320. What is v(p(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.155 - 2.155. Which is the nearest to q? (a) 1\/8 (b) -2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 greater than -12047\/494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**4)**(-1\/7)\/(n\/(n\/(n*n*(n\/(n\/(n**4\/n)))\/n))*n)**(-24\/5))**(-33) assuming n is positive.\nAnswer: n**(-5379\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1085 + 1137. Solve 2*v = l - 62 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*l**3 + 30*l - 30*l + (-l + l**2 + l)*(4 - 4 + l) + 3*l**2 - 3*l**2 + l**3 in the form m*l**2 + x + h*l + u*l**3 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apx when three letters picked without replacement from ppappppxpppppup?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129750 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5798*u + 2164 - 2939 = 5749*u + 3929 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**7*(l\/((l**(-1)*l)\/l))\/l*(l*l*l**2)\/l*l**(-5))**11 assuming l is positive.\nAnswer: l**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1000?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 11345\nAnswer: -181520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 595929594 and 1326.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1127.9*12\nAnswer: -13534.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214\/21 in 6, 3.2, 0.4, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15485 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - -0.04. Let i = 1472890 + -195893083\/133. Let q = -67\/7 + i. Which is the nearest to y? (a) 0 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*b**2 - 1790*b**2 + 10 - 8 - 2 in the form u*b + h + q*b**2 and give q.\nAnswer: -1858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + -2*sqrt(204))*6 + 6*(sqrt(204) + -3*sqrt(204)))\/((sqrt(48)\/sqrt(4)*-2 + sqrt(768))*-2).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516337 is divided by 191.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*f + 2*f. Let s be -1 - 5 - (f + 4). Let k(y) = y**3 + 6*y**2 + 4*y + 1. Calculate k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - -0.2422\nAnswer: 19.2422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1849 - 1848)*(8\/28 - (-44)\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -20*t**2 - 7*t - 14. Let u(m) = 6*m**2 + 2*m + 4. Let s(p) = -4*a(p) - 14*u(p). Let f(w) be the first derivative of 9*w**2\/2 - 1. Give f(s(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -541*y**3 + 8*y**2 + 2*y - 63. Let p(m) = -2710*m**3 + 42*m**2 + 11*m - 315. Let n(q) = -2*p(q) + 11*s(q). Find the third derivative of n(j) wrt j.\nAnswer: -3186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*p - 39949 - 309251 = 0, -2*p - 139716 = -2*q. What are the prime factors of q?\nAnswer: 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*f + 25 = 0, 2*f + 6 = -0. Let z be g\/6 + 42\/9. Suppose -2*u - z*i + i + 15 = 0, -75 = -5*u + 5*i. What is the least common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 16. Sort 5, -5, j in decreasing order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5681 and 34827?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2496)\/(-176))\/((-604)\/3322)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -27 (b) -22 (c) 5 (d) -2\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*-1*101\/(40602\/(-3350))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30250 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-14)*(58 - 51). Factor 11*b**3 - 2*b**3 - 10*b**v + 9*b**3 - 4*b**4 - 4*b**2.\nAnswer: -4*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*i + 54 = 0. List the prime factors of 2\/((-3)\/i*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 635 + -993. Let a = -355 - l. What is the third biggest value in a, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 + (2 - 4\/(-2)). Solve -k = w - 5, 3*w + 1 = -5*k + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49043, -98086, -147129, -196172, -245215?\nAnswer: -294258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 5406?\nAnswer: -5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**3 - 3*f**2 + 5*f - 2. Let a(v) = 20*v**3 + 7*v**2 - 12*v + 3. Give -2*a(u) - 5*i(u).\nAnswer: 10*u**3 + u**2 - u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 5*n**2 + 6*n.\nAnswer: -n*(n - 6)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/76 and -30\/11.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1080.1 - -1080.3. Put -1\/6, -3\/8, d, 3, -6\/25 in decreasing order.\nAnswer: 3, d, -1\/6, -6\/25, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1688613, 2, 4 in ascending order.\nAnswer: -1688613, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 31*n**6\/120 - n**5\/20 + n**3\/3 - 26*n**2. Let z be m(1). Suppose -2*d - z = -7*d. Let p(k) = k**2 - 9*k + 7. Determine p(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t - t + 4*t)*(4 - 2 + 11)*(3*t - 2*t + 2*t)*(t**2 + 0*t**2 - 2*t**2) to the form s + m*t**4 + b*t**2 + f*t + u*t**3 and give m.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28214 + 28213.99966834. What is c rounded to 6 decimal places?\nAnswer: -0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 12 = -4*p - 2*b, b = 4. Let v be (3\/p)\/((-88)\/154). Factor 33\/8*z**4 + 0 - 9\/8*z**5 - v*z - 45\/8*z**3 + 27\/8*z**2.\nAnswer: -3*z*(z - 1)**3*(3*z - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84560 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(96)*-1 + sqrt(96))*2)\/(6*5*(sqrt(12) + sqrt(48)\/sqrt(4))).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -641.6 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.1545 + -43.15515. Let y = j + 8. What is y rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144318 + 144322. Let s be (-2)\/4 + (-2)\/(-2). What is the nearest to -2 in s, k, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 190\/1248273 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x**2 + x + 2. Let u(n) = -5*n**3 + 3*n**2 - 10*n. Let a(g) = -6*r(g) - u(g). Factor a(t).\nAnswer: -(t - 3)*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.2 + 2.3. Let n = -2 - s. What is the nearest to -1 in n, -5, 1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 10. Let i(z) = z + 8. Let g(h) = 4*b(h) + 3*i(h). Let x be 4 - -1 - (1 + 11). Give g(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 46056510?\nAnswer: -46056515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 604341 and 6632?\nAnswer: 4834728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -550637 times -14\nAnswer: 7708918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 88535 = -4*q - 18165, -q + 17585 = d. What is q rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + z + 16 = 0, 5*i + 2*z = -z + 37. Suppose -4*f = -2*l - 14 + 4, 25 = -f - i*l. Let h = 19 + f. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7*f = -264. What is the least common multiple of f and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h + 145 + 304 = c, 48 = -4*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 + -3 + 2 + -2. Suppose 0 = -5*a - g + 10, -2*g = -6*g. Suppose 4 = a*j - 6. What is the highest common divisor of n and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127393*m = -1127524*m + 1179 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1197044 is divided by 890.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 1. Suppose -2*r = -4*a - 24, -6*r + 28 = -r - 2*a. Let u be m(r). Suppose 9*q - 42 = 4*q + u*d, -3*q + 3*d = -24. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144 + 371 - 231 + 1032*g**2 to u*g + v*g**2 + r and give v.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409880813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18337498 divided by -4?\nAnswer: 9168749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -u, -u + 0 = 3*k + 3. Suppose u = -11*h - 4*h + 1815. Is 40 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4701 divided by 3\nAnswer: -1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 (base 10) in base 9?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.066 + 0.1214. Let u = 0.05540441 - w. Round u to 7 dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1943, -27790 in descending order.\nAnswer: 1, -1943, -27790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.68 and 265.\nAnswer: -1505.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -27 and 125.5042.\nAnswer: 98.5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.96545mg in kilograms?\nAnswer: 0.00005796545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6437 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*r - 18, -5*h + 4*r - 7*r = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25064 greater than or equal to 25068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 271 - 202?\nAnswer: 6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011110011000 (base 2) to base 14.\nAnswer: 1489a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3*x + 2*v - 14, -x = v - 5. Suppose 8 = -x*o + 28. Solve 3*b + 7 = -o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 226\/3? (a) 1 (b) 5 (c) -16 (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 5*j - 7*j)*(-2 - 2*j + 2).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -44677?\nAnswer: -4467a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145049533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495632?\nAnswer: 2, 3, 31159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3 - -4) + -3 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2544124 and 3452?\nAnswer: 2544124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g - 15 = 0. Suppose -i - 6879116 = g*x + 23420881, 30300012 = -3*x + 4*i. Round x to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*d**3 - 33*d**3 + 2*d**3 - 7*d**3 + 6*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:02 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -855374 - 224626. Round b to the nearest ten thousand.\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from sfuusfekfjuf.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwiwiww. Give prob of sequence iw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (2 + 36852\/(-6) + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49351, 98695, 148037, 197377, 246715, 296051?\nAnswer: 345385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 5910402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.0819 - -1.0819. What is the second smallest value in r, 1\/23, -0.3, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(66)*-1 - sqrt(66)))\/sqrt(6).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 + 4 = 0. Suppose 3*j = -4*l + 145, -o*j = 2*l - 76 + 11. Let w be (l\/(-15))\/(4\/(-6)). Solve 2*z = w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*a*c*r**2 + 433*a*c*r + a*r + 4021*c*r**2 - 169*c wrt r?\nAnswer: -44*a*c + 8042*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 9 = 3*m - 20, -4*m - 22 = -2*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465111.412 rounded to the nearest 100?\nAnswer: 2465100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59981800 rounded to the nearest one million?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + g = 1, 2*r - 3*g + 13 = 6*r. Let t = 25 + -23. Does t = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/21*(-17)\/(-153)*(-18)\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - -121. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/5 - 124*z**2\/5 + 304*z + 161728\/5 = 0. What is z?\nAnswer: -28, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 410 + 404 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(35) + sqrt(70)\/sqrt(2)*-1)\/(-3*sqrt(5)*-5 + sqrt(5) - sqrt(5)) + 5)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010799417 rounded to 6 decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {p: 2, y: 3, q: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*p + 4, 5*n = 3*p + 2*n + 12. Let u(s) = -s**3 - 4*s**2 - 4. Let k be u(-4). Is (k\/p - 5) + 5 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144.716699 * -0.1\nAnswer: 14.4716699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 43 - (-18 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.2, 2, -7\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i**3 + 17*i**2 + 26*i + 14. Let c(n) = 5 + 9*n - 621*n**3 + 6*n**2 - 621*n**3 - 618*n**3 + 1858*n**3. Give 17*c(q) - 6*r(q).\nAnswer: 2*q**3 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -8*c - 1 = d - 4*c. Let j be (-1547)\/(-507) + -3 + -2 + 2. Is d bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5744095276 to the nearest integer?\nAnswer: 75790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 5) to base 15.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 8 - (-1 - (-12 + 93))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**2. Let t(j) = 5*j**2 + 6. Let u(b) = 5*b**2 + 5. Let c(a) = 5*t(a) - 6*u(a). What is c(s(x))?\nAnswer: -720*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:39 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 728 + -398. Calculate the highest common factor of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + 1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 83*a**2 + 175*a - 422. Give r(85).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-1 - -5 - 318)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15355*d**3 + 0*d**2 + 15299*d**3 + 2*d**2)*(4 + 0 - 3*d - 4) to the form a*d**2 + x*d**3 + w + u*d**4 + y*d and give u.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x - 3. Let q be (5\/3)\/(-1*(-7 - -3)\/(-12)). Let o(c) = -c - 1. Determine q*o(s) + w(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9, 200, 581, 1158, 1955, 2996, 4305?\n\"Answer: 4*k**3 + 62*k**2 - 5*k - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -3, -39, -1\/5, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -u - 4*x - 0, x = 1. Suppose -u*f = -5*l + 23, -48 = -3*l - l - 5*f. Let h = 12 - -2. Calculate the highest common factor of h and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 13) + (8 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*g = 2*t + 21, -4*t + 25 = -3*g. Let o(c) = 2*c + 8*c**2 - 11 - t*c**2 + 14*c**2 + c. Is o(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -152, -134, -114?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8*g + 5*g - 33 = 0, 4*g = -2*w + 6. Solve -4*q - l = w, 28 - 13 = -5*q - 5*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*a + 34 = 42, 5*a = 3*n + 4. Let y(q) = 4*q**2 + q + 3. Give y(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**5\/20 - 11*f**4\/6 - 193*f**3\/6 - 145*f**2 - 273*f - 1. Find p, given that b(p) = 0.\nAnswer: -5, -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7549 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b9964 (base 16) to base 3.\nAnswer: -10101220010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156438 is divided by 335?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4266893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-1745)\/15*-3. Suppose b = 4*r + 4*c, c = -5*r - c + 435. Is 21 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 228 + 3*a**3 - 228 + 4*a**2 + (3*a**2 - a**2 - a**2)*(-3*a + 4*a + a).\nAnswer: 5*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x + 11. Let p(f) = -f. Let c(b) = 6*p(b) - q(b). Calculate the lowest common multiple of 18 and c(19).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and -48199.577.\nAnswer: -115678.9848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67320 = -486*d + 477*d. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 252 + 123?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*x - 11048391 - 19871621, 15460018 = x + 3*g. What is x rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 46, 51, 58, 67, 78, 91?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293028 is divided by 146452?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.056346 and 6.\nAnswer: -0.338076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 120, 290, 532, 846, 1232, 1690?\nAnswer: 2220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.178 - 0.178. Let j = 21 - 23. Which is the nearest to 0.1? (a) h (b) j (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3391, -4857, -6383, -7999, -9735, -11621, -13687, -15963?\nAnswer: -18479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 4, m: 1, j: 1, k: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 - 2*g**2 - 2*g**2 + (2 - g - 2)*(0 + 0 - 3*g) + 1564*g**2 - 117*g**2 - 218*g**2.\nAnswer: 1233*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:46 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9507197.\nAnswer: 7, 1358171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -0.22694.\nAnswer: -0.136164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:40 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*o = -3*s + 1, -3*s - o = -7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -27?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41080 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 33 = -2*o, -2*o + 10 - 4 = 0. Let f = -7 - w. Solve -1 + f = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10911384 divided by -253\nAnswer: -43128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2076 divide 48339567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:57 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.44. Let f = -0.04 - w. Let k = -0.02 + f. Which is the second biggest value? (a) -1 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*v - 7*v + 6*v)*(-5*v**2 - 22*v**2 + 49*v**2 + 1) - 166*v**3 - 4610*v - 2*v**2 + 4610*v to the form t*v + b*v**2 + z + k*v**3 and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-66))\/(((-28)\/(-8))\/(-7)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1755 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g**3 + 35 + 11 - g**4 + 6*g**3 - g**4 to k*g**2 + h*g**3 + y + o*g + l*g**4 and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*o - 6 = 0, -2*o = 4 + 6. Suppose x*a = 2*a + 25. Solve 10 = 2*z - c, 0*z + 2*z - a*c = 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + 12 - -10 - 2 - -14?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 + 111. Let a be ((-4)\/h)\/((-2)\/(-24)). Suppose -d = a*d - 3*x - 4870, 0 = 2*d + 5*x - 1917. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18872962597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5 - 0. Let o(p) = -p**2 + p + 1. Let k(w) = 2*w**3 + 6*w**2 - 6*w - 6. What is r*k(c) - 6*o(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/784070 and 77\/1538.\nAnswer: 602949830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a millennium?\nAnswer: 82000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4)*4)\/(1\/(-5)). Suppose 0 = -d - 3, -2*q = 2*d - a*d - 17. Suppose 4*x + w - 767 = 0, q*w - 85 = -x + 118. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -3859, -2, -3 in increasing order.\nAnswer: -3859, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11569, -26092, -40615, -55138, -69661, -84184?\nAnswer: -98707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/208 and -21\/494?\nAnswer: 3952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.03 (b) 0.3 (c) -4 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 304.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5 - 13 + 2 + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s - 6. Suppose 0 = 2*d - 0*d, r - 7 = 4*d. Suppose -13 = 2*b - r. Let c(q) = -2*q + 3. Give b*h(g) - 5*c(g).\nAnswer: -2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-90))\/((-16)\/72)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 - -108. Solve q = -z - 3, -5*z + c*z = q + 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*a - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 17*z + 2793600. Round z to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552530.927 - 0.08.\nAnswer: 552530.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -24*x - 115. Calculate the remainder when g(-11) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 416\/9 - 46. Find k, given that -2\/9*k**4 + d*k**3 - 2\/9*k + 0 + 2\/9*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 12 = -2*m - 5*h, 2*m - h = 5. Let j be -80*((-122)\/3 - m)*213. Round j to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34438929, 34438927, 34438925, 34438923?\nAnswer: 34438921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3135741 or -1?\nAnswer: 2\/3135741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) 1\/3 (b) 240 (c) -190 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2245 is divided by 568.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 451.4687l?\nAnswer: 451468.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.190355199 to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1841676 divided by 6.\nAnswer: -306946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*7*(2013\/132)\/61?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 472 + 4425*b - 472 - 4425*b - 10447*b**3 + (-1 - 1 + 4)*(-2*b**3 + 5*b**3 - b**3) + 0*b - b**3 + 0*b to the form q*b**3 + x*b**2 + a*b + c and give q.\nAnswer: -10444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 (base 11) in base 16?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.5, 5.569, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 14*q + 1. Let v be c(-7). Suppose 11*k - 10*k = v. Let t be -5*k\/(-3)*(-63)\/(-15). Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/13 + 7864*o\/13 - 7730312\/13.\nAnswer: -2*(o - 1966)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 2*b**2 + 2 - 4*b**2)*(4179 - 2023 + 1022 + 2099).\nAnswer: -10554*b**2 + 10554","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 0 + -2 + 1*sqrt(175) + sqrt(175) + 2 - (-3*sqrt(175)*1 - (sqrt(175) + (sqrt(175) - (sqrt(175) + -2*sqrt(175)*-5 - sqrt(175))))))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 383563 and -3402.\nAnswer: 380161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 21 - 19. Suppose -5*s + r = -390, -b*s = 4*r - 110 - 46. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**5 + 8*x**4 + 16*x**3 - 8*x**2 - 12*x = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - 6\/(-4). Suppose -x*d = -4*g - 14, -1 = d + g - 2. Suppose 0*n = -3*n. Solve -4*y - d*o + 2*o + 1 = n, 0 = -3*y + 4*o + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 24 (b) -40 (c) 5 (d) -0.1465 (e) -4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6536 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-34)\/6)\/17)\/((-108)\/81). Let f = 195.236 + -0.236. Is d greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100304\/73 + -1374. What is the closest to 0.1 in y, -1, -2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 7:49 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - y + y)*(3*y**3 + 5*y - 5*y) + (3*y**2 - y**2 + 0*y**2)*(-2*y**2 + 2*y**2 - 2*y**2).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -223*w + 3. Let m be y(-1). Suppose m = -0*l + 2*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.3409 - 2.045. Let a = 0.3 - u. Round a to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111 + -5?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 444 + -442. Find n, given that 2\/17*n + 0 + 2\/17*n**l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2726, -2705, -2698, -2729, -2822, -3001, -3290?\nAnswer: -3713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 83 (c) 0.8 (d) 2\/5 (e) -6.481\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8931450 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1141 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55.3 - -55.2. Which is the nearest to o? (a) 0.03 (b) 0 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 + i - 4. Let u be p(2). Solve o = -o - u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1058669, -2117334, -3175993, -4234640, -5293269, -6351874?\nAnswer: -7410449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqzlzzcpzozclzzqpzlz. What is prob of sequence coq?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7196444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.731 + 237.\nAnswer: 262.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggow. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98448 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 658, -4945, -13 in descending order.\nAnswer: 658, -13, -4945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 - 2*w + 4. List the prime factors of u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = k + 4 + 1, 12 = 4*s. Suppose -a = -4*u + k, -2*u - 3 = -3*u - a. Solve 0 = -5*w + x, u*w = -w - 2*x + 13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, i: 1, u: 5, o: 4}. Give prob of sequence iuju.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27259264 by 3.\nAnswer: 27259264\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 25, 19 + 10 = 3*i - 4*h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2. Let d(f) = 11*f - 605 + 202 + 204 + 203. Give b(d(k)).\nAnswer: 847*k**2 + 616*k + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -25. Let d = b - 9.03. Let z = d + 0.33. What is z rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94 - -94. Suppose 4*h - 12*h + 32 = w. Suppose 0 = 6*j - 3*j, 204 = h*u - 4*j. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 take away 0.95858?\nAnswer: -239.95858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - (-124)\/12*3 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 2\/17, -4, -10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56686691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -47. Solve 3*w + 14 + i = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147*b**4 - 147*b**4 + 35*b**5 - b wrt b.\nAnswer: 700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187252755*x**3 + 2*x - 28801895 wrt x?\nAnswer: 1123516530*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -30. Let c(b) = b**2 + 8*b - 6. Let g be c(a). What are the prime factors of (218\/(-3))\/((-2)\/g)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -18. Solve 0 = -y*d - 9 + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1124*h**4 + 8*h**3 - 71*h + 21?\nAnswer: 13488*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, 1085.6, -30.4 in descending order.\nAnswer: 1085.6, 6\/13, -30.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 13*l - 140. Calculate the greatest common divisor of 7760 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxsexeesxyseexsese. What is prob of picking 3 e and 1 s?\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l**2 - 5*l - 5. Let q be v(5). Let y(z) be the first derivative of 5*z**2 + 5*z - 2036. Let t(f) = 15*f + 7. Calculate q*t(i) + 7*y(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 11*r - 5. Let j be g(-10). What is the units digit of (24\/j)\/(6\/100)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 + 197. Let z be (k\/4)\/(5\/(-1950)). What is z rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158107997?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4, 45\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - (-11 - -5) - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 7 = 2*v - 3*f, 4*f = 4*v + 12. Factor 0 + 4\/7*s**2 - 2\/7*s**3 + v*s.\nAnswer: -2*s**2*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 25 = -c. Suppose 0*o - 81 = -2*o + c*g, -5*g = 3*o - 184. Let u = 17 - -10. Calculate the remainder when o is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 470298902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 17\/90*c**5 + 188*c**2 + 1\/9*c**4 + 0*c**3 + 0*c + 1\/105*c**7 + 0 + 4\/45*c**6. Suppose v(y) = 0. What is y?\nAnswer: -4, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z + 3. Suppose 9*p = 4*p - 25. Let k be d(p). Let j = k - -2. Which is the second smallest value? (a) -1 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n - 1. Let v = 22 - 6. Let z(d) = -3 - 31*d - 12*d**2 - 17*d**2 + v*d. Let p(l) = -3*x(l) + z(l). Find the second derivative of p(m) wrt m.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 3*n + 3. Let o be q(-3). Suppose -18 = o*h - h. Let g = -10 - h. Is g at least -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-207)\/(-15)*25\/(-70) and -31\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3997, 430, -3 in descending order.\nAnswer: 3997, 430, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -4. What is the third smallest value in -2, 12, d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {k: 6, a: 2, o: 2, s: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 158*k - 99. Let s be t(42). Suppose s = 18*d - 1545. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + l - 1. Let c be r(1). Let y(w) be the third derivative of -w**4\/24 + w**3\/3 - 5*w**2. Let h be y(-4). Solve c = 2*k + h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*z = -3 + 7, 6 = h - 4*z. Let d be (28\/35)\/((-2)\/h). Is 10 a factor of d\/(-12)*(0 + -141)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j + 2. Let h be o(8). Let t = h + 30. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/4750488 and 15\/284.\nAnswer: 337284648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -44\/929623?\nAnswer: -44\/929623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3247*31334\nAnswer: 10174.1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5589192 to the nearest integer?\nAnswer: 2364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162\/11 + -2776\/187. Let y = -19.4 - 27.6. Let b = -51 - y. Is b bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.009 + 0.429. Let j = -0.4200066 + d. What is j rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 16*g**2 - 4. Let b(t) = 17*t**2 - 5. Suppose 7*s = -12 - 16. What is s*b(k) + 5*n(k)?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q = -3*l + 22*q + 10, 3*l - 2*q - 17 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 57*n**2 + 9*n + 18. Let s(r) = 112*r**2 + 21*r + 35. Let c(i) = -5*l(i) + 2*s(i). What is the second derivative of c(u) wrt u?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384600 rounded to the nearest ten thousand?\nAnswer: 2380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.7619g to tonnes.\nAnswer: 0.0000727619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22494 (base 12) to base 3\nAnswer: 2022120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -32*q + 4. Let w(o) = -65*o + 9. Calculate -9*f(u) + 4*w(u).\nAnswer: 28*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**7\/q**15)\/(q**(2\/21)\/(q\/q**3)) assuming q is positive.\nAnswer: q**(-212\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l - 59*l = -5*z + 13, -z - 3*l + 11 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-93670)\/85)\/((1 + -3)*1) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*b**2 + 2*b**2 + 2*b**2)*(88*b + 8*b + 43*b) to the form x*b**2 + j*b**3 + q*b + v and give j.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:32 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000870507 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3 + 266\/(-90) - -49*3996\/187110.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 50, 72?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17281 + -9854. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 - 2.11. Let t = -287 - -284.97. Let k = -0.03 - t. Which is the smallest value? (a) 0 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 10. Let o = -27 - -30. Is 5 a factor of v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93 or 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 + 107. Suppose -k = 3*t - 148, h = -4*t + 24. What is the greatest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 - ((6 - -4) + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -144, -327, -594, -951, -1404, -1959, -2622?\nAnswer: -3399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k**5\/5 + 66777*k**4 + 2322775272*k**3\/5 + 4062665826*k**2\/5 - 8127418284*k\/5 + 1741643289\/5 = 0. What is k?\nAnswer: -13911, -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2*m**2 - 6)*((-27 + 65 + 21)*(0*m + m + m)*(-3 + 1 + 1) - 24*m + 2*m - 2*m).\nAnswer: 284*m**3 + 710*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 + -86. Solve 0 = -s*m - g + 10, 0*m - m = -4*g + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6505, 6506, 6507, 6508, 6509, 6510?\n\"Answer: f + 6504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72927610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 464 = -8*s. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.14 - 0.74. Let g = h + 0.2. Let o = 1\/21 - 1\/3. Which is the nearest to -1? (a) g (b) -2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(20\/2048) - (-2)\/(-5). Let p = 106 - a. Sort 0.5, -11\/6, p in descending order.\nAnswer: p, 0.5, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhhknhynnnaaaankka. Give prob of picking 2 a, 1 h, and 1 y.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (812\/3654)\/(10\/(-2925)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + -13. Let h = -76.99809 - v. Round h to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*436\/(-10)*(-13395)\/5358?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 - 2 - 2 + 3 - 2 + 3 + 1 - 1 - 4 + 4 + (5 - 2 - 2)*(4 + 1 - 4) - 4 + 3 + 3 + 4 - 3 - 3 - 5 + 10 + 2)*(-3*w + w - w).\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 731.3 + -731. Let y = -2.6 - -1.8. Let o = y + 1.2. Which is the third smallest value? (a) -1\/7 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5748, 13477, 21206, 28935, 36664, 44393?\nAnswer: 52122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -53 - (-231)\/44*10. Let m = -0.27 - 0.03. Let c = -1 + -2. What is the third biggest value in m, c, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 30 = -3*f, -3*f - 7 + 31 = 4*y. Suppose -y = -r - 0*r. What is the second derivative of r - 9 + q**3 - 2*q wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b + 6*b - b**2 - 6*b**3 + 7*b**3 in the form l*b**3 + k*b**2 + f*b + g and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1\/4, 3\/4, 33, 3\/7, -1 in ascending order.\nAnswer: -1, -1\/2, 1\/4, 3\/7, 3\/4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b + 0*b - 46 + 2734*b**2 + 49 - 531*b**2. Is y(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 1. Let i(m) = -16*m - 24. Let n(h) = -24*c(h) - i(h). Let f(d) = -4*d. Give f(n(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 13) to base 9.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -8.474?\nAnswer: 6.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*v - 643*v + 355*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363790267 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-414)\/6030)\/(-5 + 628\/60) and -101\/20?\nAnswer: 54940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675770984.\nAnswer: 2, 7, 31, 389269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -7*k + 72. Suppose -2*u - 4 = -k. Suppose -u*x - 216 = -0*o - 4*o, 2*o = -3*x + 128. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1018180, -1018182, -1018184, -1018186?\n\"Answer: -2*w - 1018178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5117001851 + -0.2?\nAnswer: 5117001850.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s - 420. Calculate the common denominator of -26 and -5*1\/(20\/s).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10041 (base 5) to base 10.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153869 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -578*h = 65114 - 52976 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -199015 minus 0.231506?\nAnswer: -199015.231506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10829.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-33)\/(-6))\/(2\/(-4)). Suppose -d - 4*d = -80. Let z = c + d. What is the greatest common divisor of 2 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 4\/5 in descending order.\nAnswer: 4\/5, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20021 (base 4) in base 12?\nAnswer: -375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2496 and 1494.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*c + 2*a - 4, 0 = c - 3*a + 2. What is the smallest common multiple of 42 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (684\/(-171))\/((-2)\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*273482.\nAnswer: -273482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:42 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1899.3046 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 27929*x + 99 + 665*x**3 + 3977 + 8697*x**2 + 10434*x + 17*x**4 + 318 = 0. Calculate x.\nAnswer: -13, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -5 + (sqrt(85) - ((sqrt(85) - sqrt(85)*1) + sqrt(85)) - sqrt(85) - sqrt(85))\/sqrt(5) - (sqrt(204)\/(sqrt(24)\/sqrt(2)) + 2))**2.\nAnswer: 14*sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2292 by -191.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20364 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + k - 14, -2*k - 112 = -4*c - 98. Suppose 7*f = 2*f. Put c, 15, f in increasing order.\nAnswer: f, c, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (36\/(-21))\/(10\/(-70)). Suppose -t*c + 702 = -9*c. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 + -0.02. Suppose 0 = -2*p - 0*p - 12. Let n = p - -11. What is the third smallest value in 2, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5354062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -4*a + 0*a = -32, 7*a = -4*q + 56. Solve g*d = 5*u, -2*d - u + 17 - 5 = q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 53. Suppose 2*y - b = -4*v, -2*v + 0*v + 10 = 2*y. Is 6 + 1 - (y - -2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*g**3 + 446*g**3 - 1159*g**3.\nAnswer: -243*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let h(r) = -70*r - 1. Calculate 2*b(i) + h(i).\nAnswer: -72*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a + q - 597, 0 = 3*q + 3. Suppose 1314 = 3*i + 3*v, 6*v - 1310 = -3*i + 2*v. Let c = i - a. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Suppose 0 = -s*k - 2*g - 6, -16 + 5 = 3*k + g. Let t be (-7)\/(-1) - (7 + 1). What is the smallest value in k, t, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/925 in 1, -14\/3, 4, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1. Let n(u) = -2*u - 8. Let k = 4014 - 4013. Calculate k*n(s) + 6*j(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35 - (-8)\/(-20)*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 q when four letters picked without replacement from zzzzqzqzzqqqq?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 6195.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20780 (base 14) to base 4.\nAnswer: -103013230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 7856.77 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 11385.954?\nAnswer: -125245.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 53. Solve -c*z - 24 = 3*j, -j + 19 = -3*z - 3*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5272\/12 - (-18)\/27 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770614973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 5\/(-20)) + (-1)\/4. Solve j + 3*j + 16 = p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.46296 decades to months.\nAnswer: 9775.5552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -36. Let i(j) = -j**2 + 4*j**2 - 3*j + 2*j**2. Let k(h) = -4*h**2 + 2*h. Calculate u*i(w) - 3*k(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 793779968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5 - 9960*o**4 + 1141062*o**3 + 2311996*o**2 + 1160976*o = 0.\nAnswer: -5092, -1, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10582 by 794.\nAnswer: 5291\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 166 - 289*u**2 + 333*u**2 - 68 - 45*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nesmv. Give prob of picking 1 m, 1 v, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 + 3*s - 3. Let r be z(-3). Suppose -4*v + 14 = -r. Suppose -v*p + 12 = 4*w, 0 = 5*p - 2 + 22. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10655)\/(-4262))\/(2\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-three fifths of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 916.0944 nanograms in grams?\nAnswer: 0.0000009160944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 9. Let q be m\/(-6) + (-20911)\/(-66). Suppose 0 = -3*f + q + 145. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by 57\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + -1 + (-3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen sixteenths of a minute?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2311 + 23?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 minus 2.538251261?\nAnswer: 814.461748739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + sqrt(637) + 0 + sqrt(637))**2*-4 - (-3*(-1 + sqrt(637)*-3*-3))**2.\nAnswer: -423358 - 658*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4971 - 4962. Solve 3*p + 5*x - 23 = c, 0 = 4*x - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 0. Let x = -10 + v. Suppose 0 = x*j - 3 - 54. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-10))\/(4\/(-24)). Suppose 3*x = x + f + 3, 0 = -5*x + 5*f. Let -8\/5*m**2 + o*m**x - 8\/5*m**4 + 2\/5*m**5 + 0 + 2\/5*m = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 + 5.44\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*u + 16, -5*u + 3*a - 9 = 7*a. Let c be (27\/9)\/(5\/(u\/3)). Which is smaller: 3\/380 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -18 - 5\/3*t**3 + 0*t**2 + 8\/5*t**5 + 0*t**4 + 0*t. What is the third derivative of c(u) wrt u?\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 + 229. Let w(t) = -3*t**2 - 13*t + 20. Let g be w(n). Sort g, -5, 0, 1 in decreasing order.\nAnswer: 1, 0, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 13 - -10 - 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(2\/3))**(-37\/2))**(-38) assuming h is positive.\nAnswer: h**(703\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + l)*((-2*l - 2*l + 3*l)*(5 - 115 - 3) + 0*l + 7*l - 2*l) to the form v*l**2 + a + j*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/4 of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*q + 190*q - 98 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*j - 6*i + 370, 252 = 2*j - 4*i. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 10) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151657 and 418.6.\nAnswer: 63483620.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -639.9 and 0.6.\nAnswer: -639.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.265 take away 0.409040656?\nAnswer: -9.674040656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 27. Let v = -10 + k. Calculate the least common multiple of v and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 3*d**2 - 5*d**2 - d)*(d**3 - d**3 - 3*d**3) + 617*d**5 - 433*d**5 + 1183*d**5.\nAnswer: 1373*d**5 - 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 594 and 260766.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 - 51 = 0. Suppose -m - o = -4*m. Suppose 0 = -0*u + m*u. Solve 3*t + 3 = -u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/279 (b) -1\/2 (c) -2 (d) -4\/5 (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.37 and 10.\nAnswer: 473.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w = -92 + 156 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -81205.8 to the nearest 100.\nAnswer: -81200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 105. Let i = -2935 + 2958. Calculate the remainder when s is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 10:24 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-26) + (-320)\/(-52). Let q = i - -1. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 22200112110?\nAnswer: -22200112100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/7 and 1522\/1032 + 6\/(-24) - 1.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*b = -15, 6*m + 6 = 4*m - 3*b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -260*d. Let u(f) = 30473*f**2. Calculate m(u(l)).\nAnswer: -7922980*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (0 + -3 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17662962 divided by 6?\nAnswer: -2943827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 - d?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 23) + -1701 + 1723.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5562596 days in milliseconds?\nAnswer: 48060829.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 = -15. Factor 3*r**2 + 4*r + a*r**2 + r**4 - 2*r**3 + 4 - 9*r**2.\nAnswer: (r - 2)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 - 22275*z**2 - 553870*z - 531600 = 0?\nAnswer: -4430, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.674 - 5.696. What is s rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) + 211\/3. Suppose 8514 = 15*f + 3615 - 12951. What is the highest common divisor of l and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*f = 28, 3*f = c + 3*c - 48. Let q = 28 + -12. What is the tens digit of c\/(-12) + 492\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/31)\/w)\/w)\/(w\/((w\/w**(-1\/22))\/w))*(w**(-1)\/w)**(-28) assuming w is positive.\nAnswer: w**(36199\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - n - 262 = -2*n, 4*n = -8. Let l(y) = -79 + y + 2*y + i. What is the tens digit of l(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-2 - -12) + -5 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 14*m**2 + 158*m + 12. Calculate the lowest common multiple of b(7) and 155.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -2.32. Let x = w + 2. Let a be 1\/(-2)*4\/(-17). What is the biggest value in x, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t**3 - 21*t + 4. Let u(f) = -f**3 - f + 1. Let n be 11\/7 - (-16)\/(-28). Let g(w) = n*a(w) - 4*u(w). Find the second derivative of g(v) wrt v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4596 and -4598 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16 and 15\/9712?\nAnswer: 9712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42012 is divided by 186?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16482963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/((d**(1\/2)\/d)\/d))\/(d**6*d**3)*(d**(-1\/3))**(-5\/2)*d\/(d**(-2\/17)\/d)*d**3 assuming d is positive.\nAnswer: d**(-451\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514673 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -993 divided by -432\nAnswer: 331\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 2*r - r + (3*r + r - 2*r)*(-3 + 2 + 0) + r - 2 + 2 - r + 3*r + 3*r + 5*r - 10*r + 4*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*2\/((-8)\/(-4))*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21*r**2 + 544*r + 59. Determine i(26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - 2*a**4 + 6*a**4 + (-a + 0*a + 5*a)*(-4*a**3 + 3*a**3 + 7*a**3).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b - 20. Let m be t(2). Let u be 4\/m*(9 + (-252)\/24). Solve 4*l - 5*r + 13 = 0, 4*l + 0*r + u = -5*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7031 - 6484. Calculate the remainder when y is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -25*x + 6. Let k(v) = v + 1. Calculate -j(u) + 4*k(u).\nAnswer: 29*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1720 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20988 divided by -5247.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 5*h - 536 = 0. Let w = -162 + h. Let q = w + 235. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000491716593 rounded to 6 decimal places?\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1812072275 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y + 84. Let p(b) = -4*b - 86. What is 3*c(q) + 4*p(q)?\nAnswer: -4*q - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 30 = 4*m. Solve -2*k + m*k = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1773 and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 5*w - 23, -4*w - 2*m + 13 = -3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 23*z + 0 + 0 - 7*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 28\/11*q - 10\/11*q**2 - 2\/11*q**3.\nAnswer: -2*q*(q - 2)*(q + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -2*i**6\/5 + i**4\/6 + 48*i**2 + i - 48. What is the derivative of m(q) wrt q?\nAnswer: -48*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 32 = 8*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2 (b) 0.16 (c) 2 (d) 8 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 2\/9, -3, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1010627 - 43?\nAnswer: -1010672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494223 + 513118 - 413 - 13*f**2 + 825279.\nAnswer: -13*f**2 + 1832207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = 5*q, 2*z = -5*q + z + 17. Let g(t) be the third derivative of t**5\/60 - t**4\/4 + t**3 - 6*t**2. Give g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474 - 463. Calculate the greatest common factor of 473 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*10\/(-15)*3\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1336 + 1335.5. Sort -13, -2\/15, 1\/3, l in ascending order.\nAnswer: -13, l, -2\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21540 - -21545. Solve b = 2*d - z, -3*b = -11*d + 10*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*80.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 227, -8, 1, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226.4*0.5.\nAnswer: 113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/3))\/d)**(-2\/85)*d\/d**(-5)*(d\/(d\/(d\/(d\/d**0))))\/d*((d*d**8\/d)\/(d\/(d*d*d**0)))**(6\/11) assuming d is positive.\nAnswer: d**(27751\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5 + 5356*f**4 - 86868*f**3 - 200476*f**2 + 86864*f + 195120 = 0 for f.\nAnswer: -1355, -2, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016201956 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -713719.56 take away 246493?\nAnswer: -960212.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -54. Suppose 5*l = -5*o + r, -2*l = -3*o + 4*o - 12. Suppose 2*t - 5*b = 8, -3*b - 41 = -l*t - 2. What is the greatest common factor of t and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -35 (c) -2\/13 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 6*x + 4. Let r be (-35)\/21 + (-1)\/3. Let l be -1 - -1 - 1*2. Let p be l*(25\/r)\/(-5). What is j(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 7*l + 8. Let h be d(6). What is the third derivative of 54*o**3 + 2*o**2 - 50*o**3 + h*o**2 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**(-3\/2)*o)\/o*o**(2\/3)*(o\/(o*((o*o*o\/((o\/o**25)\/o))\/o)\/o*o))**(-25) assuming o is positive.\nAnswer: o**(4081\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 109987 + -1?\nAnswer: 109986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 254292179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 30 = -7*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1289 - 819. Suppose -4*l - 99 = -g, -3*g + 8*g + 5*l - x = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -324 - -327. Suppose -4*m + 5*q = 10 - 29, -t*m + 2*q = -16. Let a(c) = -4 + c**3 + 2*c**2 - 3*c**3 + 4*c**2 - c + c**3. Give a(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*i*t**6 - 694*i*t**3 - 2*i*t**2 + 57173*t**2 wrt t?\nAnswer: 2400*i*t**3 - 4164*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-5\/6)*b)\/(b*b**(5\/2)\/b))\/(((b*b*b**(-3\/5)*b)\/b)\/(b\/b**(-4))) assuming b is positive.\nAnswer: b**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let s be t(-1). Suppose -n = -3*p + 7, 4*p = 4*n - 0 + 4. Differentiate -p*c + 0*c - s + 2*c with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 + -108. Let m = -64 + a. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/374 and -49\/29560476?\nAnswer: 502528092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 + -285.3. What is the closest to -1 in -1\/8, -1.6, o?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-400)\/6)*3. Suppose 2*j + 4*u = 90, -3*u + f = 4*j + u. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -92, -118, -156, -206, -268, -342?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmbq when four letters picked without replacement from bbbqbbbmbbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 37661?\nAnswer: 37661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-25 - -6) + 34\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = 129*q - 125*q, -q - 5*k + 11 = 0. Let o be ((-5)\/10)\/((-12)\/1*-1). Which is the third smallest value? (a) -4\/9 (b) q (c) 4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 2414802083806 + 13*b**2 - 2414802083806 - 13*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*-23.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 7780?\nAnswer: 7780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:20 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -3 + 2 + -2)*6 + 0.\nAnswer: -18 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*-6*-4*((sqrt(112) + 4)*2)**2.\nAnswer: -61436 - 15360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 23 + 39 = 0. Calculate the least common multiple of 28 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2214*y**2 + y - 6. Give k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 29369?\nAnswer: -32305.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 5*p**2 - 5*p - 6. Let y be u(6). Suppose y = -3*q - g + 12, -6*g + 15 = q - 2*g. Solve -5*o - 4*n + 23 = -n, -q*n = 3*o - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, o: 13}. Give prob of picking 3 j.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 722 = d. Suppose 2*t = 5*t + x - d, -3*x + 123 = t. Calculate the greatest common factor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -82114.\nAnswer: -25\/82114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9525 divided by -5459\nAnswer: 9525\/5459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15197?\nAnswer: 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g**3 + 4749*g - 2 + 2 + 39*g**3 - 4749*g.\nAnswer: 76*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**3 - 6*x**2 + 6*x - 21. Let l(y) be the first derivative of 7*y**4\/2 + 17*y**3\/3 - 17*y**2\/2 + 64*y + 2237. Determine -17*a(i) - 6*l(i).\nAnswer: i**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -415, -908, -1729, -2878?\n\"Answer: -164*d**2 - d - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -15?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -2, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 50 + -1 - 1. Let v = p + -49. What is the remainder when (2 + -1 + v)\/(2\/(-244)) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*z = -26*z - 53280. What is the lowest common multiple of z and 33?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let b be 5\/(-30*1)*0. Let f(n) be the third derivative of -6*n**2 + 0*n**3 + b*n + 0*n**4 + 0 - 1\/12*n**5. Give f(y(u)).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-3) - 6\/18 - -43. Let h = a - 43. Let l(b) = -b. Give l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 18 = 2*b, -4*d + 4 = -6*d - 4*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456006 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b - 1 + 11 + 4*b + 4*b + 2*b. Let j be y(-1). Are j and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2237*c**6 - 1771*c**6 - 137*c**2 - 542*c**2 - 8 + 8 wrt c.\nAnswer: 55920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23177 + 67966. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -6 - (-2 + 8 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 6575?\nAnswer: 33\/6575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p. Let z(f) be the third derivative of -1\/45*f**5 + 1\/12*f**4 + p - 1\/9*f**3 - 1\/90*f**6 - f**2 + 1\/105*f**7 - 1\/504*f**8 + 0*f. Factor z(n).\nAnswer: -2*(n - 1)**4*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038670.\nAnswer: 2, 5, 103867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 2, a: 7, l: 3, w: 1}. Give prob of sequence plwl.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9653\/35 - (-6 - -3)\/15. Suppose -278*z = -m*z - 1198. List the prime factors of z.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -993433.985 to the nearest 10.\nAnswer: -993430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (38\/4 - 5)*(-84)\/(-9). Find the first derivative of -46*f - 58*f + 0*f - 11 - v*f + 25*f wrt f.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 + 26*y - 73. Let g be x(6). Solve -14*o + 3*o + g = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjhhjjj. Give prob of picking 1 j and 1 b.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22820 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 2)*(-2*x**2 + 2*x**2 - 2*x**2)*(-3 + 3 + 2).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105791976?\nAnswer: 2, 3, 439, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 30*i**2 - 30*i - 13. Calculate o(-29).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78684*a**2*x**3 + 2*a**2*x**2 - 25430*a**2 - 1 wrt x.\nAnswer: -472104*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 + 10452b74?\nAnswer: 10452b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*q + 779*q + 7183 = -168*q - 32311 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -783*c + 29757. What is j(38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-4 - -9))*-2. Solve y*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5225 - 5?\nAnswer: 5220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3967 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7683107 is divided by 90389.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28831681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 23*u + 765 = 0. What is the remainder when u is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -26056*i. Let z(b) = -2*b**2. Give g(z(d)).\nAnswer: 52112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-28) + 632\/7. Let x = i + -54. Suppose 6*j + x = 144. Calculate the remainder when 52 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2424*r - 3*r**4 - 1209*r - 1213*r + r**2 as q + u*r**3 + j*r**4 + d*r + l*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 3948 = 7*l. Calculate the remainder when l is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -246\nAnswer: 5\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*q + 190 - 558 = 1032 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3395, 14805, 36417, 70355, 118743, 183705, 267365, 371847?\n\"Answer: 354*w**3 + 2977*w**2 + w + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 28*s + 676. What is y(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osomxomomxomoo. What is prob of sequence xo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + 0 + (-5 + sqrt(13) + 6*sqrt(78)\/sqrt(6))*-6))**2.\nAnswer: -43008*sqrt(13) + 383296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 10*x**2 - x - 9. Let u be c(-10). Suppose 31 = 5*g + u. Solve -20 = g*o - 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 2*p**2 + p. Let r be 0\/2 - 5\/(10\/(-4)). Determine z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 + 1945523.265.\nAnswer: 1945687.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12cb15 - 7?\nAnswer: 12cb0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 3\/(4*3\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*t - 176, 2*w + 223 = 4*t + t. Is t a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -451, 1, 372982 in decreasing order.\nAnswer: 372982, 1, -4\/3, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00347132 rounded to 6 dps?\nAnswer: -0.003471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 11 = -s + 3*w, -1 = 4*s - w. Which is the nearest to s? (a) 2\/5 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(352))\/(-2*sqrt(176) + sqrt(11)).\nAnswer: -8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/60 + j**4\/4 + j**3 + 15*j**2\/2 + 15*j. Let b(a) be the first derivative of y(a). Give b(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2400 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*5\/360)\/(2\/8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*f - 8 - 22, 5*s = 2*f - 35. Suppose -12 = n - f*n. Let v be n\/(-3)*4\/12. What is the nearest to v in 0.3, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let m be r(0). Suppose y - 2*u = -5*u + 10, m = 3*y + 3*u - 30. Suppose 2*j = -5*a - y, a = 2*j - j - 9. Solve j*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277 - 187. Calculate the remainder when d is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*1104\/736*10\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + -20. Let b = l + -6. Calculate the remainder when 28 is divided by (-1)\/b + (-270)\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87132.31 millimeters to meters.\nAnswer: 87.13231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010101 + -100?\nAnswer: 110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 125, 191?\n\"Answer: 66*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (142\/34)\/((-2647)\/44999)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27104534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 9. Let x = -18 + p. Let l = -1.7 - x. Which is the smallest value? (a) -1\/4 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**7\/210 + 47*l**6\/120 - 5*l**4\/8 - 4*l**3 - 190*l**2. What is the second derivative of t(y) wrt y?\nAnswer: 12*y**2 + 282*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98*-927\nAnswer: 90846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.040750859\nAnswer: 0.081501718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:15 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256 + 265. Solve 5*u - 5*y + 1 = -4, 3*y - d = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**7\/42 - 292*j**5\/5 - 511*j**4\/6 + j**2 + 9*j + 251. Find the third derivative of c(v) wrt v.\nAnswer: -60*v**2 - 7008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48480 divided by -4.\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - -14024?\nAnswer: 14142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(637) + -2)**2*-1.\nAnswer: -168*sqrt(13) + 3846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0*b*b**6)**(2\/101) assuming b is positive.\nAnswer: b**(16\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/30 and -7 - -1*1421\/280.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 70?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (69 - (-30 + 53)) + -48\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91, -192, -305, -430, -567?\n\"Answer: -6*l**2 - 83*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 2 - 12 + (-2 + 0 + 4)*(0 - 2 + 1) - 2 + 2 + 1)*(-2*a**2 + a**2 - a**2)*(0 + a + 0).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 242. Let j be p(-8). Solve j*z + 148 = 197*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, -0.5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-12))\/13*-15?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**8\/504 + b**7\/45 + 2*b**6\/45 - 137*b**2. Factor c(o).\nAnswer: -2*o**3*(o - 8)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7575589*u**3 - 4*u**2 + 3*u**2 - 3787869*u**3 - 3787814*u**3.\nAnswer: -94*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 66482042, 132964083, 199446124?\n\"Answer: 66482041*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 4*n**2 - 13*n - 41. What is o(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 + -56.6\nAnswer: -57.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**3*o*q**2 - 5*n**3*q**3 - n**3*q - 155*n**3 + n**2*q**3 + 2*n**2 - 3*n*o*q + 348*n*o wrt n.\nAnswer: 6*o*q**2 - 30*q**3 - 6*q - 930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1305 and 6119.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 6*k**2 - 15*k + 18. Let a be h(-8). Let g(v) = -v + 15. Let s be g(a). Suppose -s*l + 89 = -56. Solve 5*b = 9 - l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/7743 + 15538\/100659. What is the fifth biggest value in 2\/87, z, 1\/4, 5, 2\/7?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - 40. Suppose 4*a - 9 + 37 = -d, 3*d + 4*a + 100 = 0. Let u = -24 - d. Calculate the remainder when s is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/1 - (-7 + -410 + -6). Suppose -5*l + 1128 + o = 0. What are the prime factors of l?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*(3584\/208)\/28.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 11 = -16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -10*b + 11*b + 3*b. Solve 15\/7*y + 3\/7*y**2 + b = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (895 - 304 - 207)*(3 - 5 + 1)*(-3*g + 5*g - g)*(1 - 2 + 3) to x*g + k and give x.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70803846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 - -11101?\nAnswer: 12014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - p + 5*p = -20, u - 5 = p. Let t = u + 2. Suppose -b = 4*y - 8, t*y - y + b = 5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(0*y + y - 4*y) + 0*y - 4*y + 5*y)*(4*y**3 + 2*y**3 - 3*y**3).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 1:51 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*189\/(-84))\/(21\/(-266)*2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.0388, 5\/4, 1, -75, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.16\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**6\/180 + x**5\/24 - 5*x**4\/24 + x**3\/3 + x**2. Let z(t) be the first derivative of h(t). Is 13 a factor of z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229.9 - 230. Is -13\/3 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2349*g - 49623 = 41698 - 20851 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 67237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (30\/18*3 - (-2 + 13))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = 15*v - t, 0 = 5*v + 20*t - 24*t - 48 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2913292*d**4 - 1261264*d wrt d?\nAnswer: -34959504*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 525*q**2 + 89793*q + 5177720. Let o(v) = 2*v**2 + 2*v + 1. Let d(u) = 4*m(u) - 12*o(u). Find k such that d(k) = 0.\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*16\/(-168)*648\/(-144).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -2, 0, -4\/85, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.25 - -0.25. Which is the closest to 0.1? (a) t (b) 1\/2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 702 = 44*g + 1440 - 1020 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0*j + 324\/5*j**2 + 36\/5*j**3 + 1\/5*j**4 + 0 = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*s, 3*s = -v - 0 + 2. Let d(a) = 3*a**2 + a + 1. Let p be d(v). Suppose -3*w - 5 = 5*t, -2*t + p + 1 = 0. Put w, 4, 1 in ascending order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 138 = -622. What is the remainder when 3 + -4 - 1*-54 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 4638?\nAnswer: 7\/4638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1982 + 2138.1. Let k = t + -156. Is -0.11 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 460. Is 12 a factor of d(54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, 1\/2, 14 in descending order.\nAnswer: 14, 5, 1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnmnnvvfem. Give prob of picking 1 f, 1 v, and 1 e.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.898 times -0.035?\nAnswer: -0.06643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -64260912*h. Let t(a) = 15*a. Calculate t(o(l)).\nAnswer: -963913680*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165274 = 48*r - 2044810. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s - 5. Let y be q(-4). Let f be 34\/8 - 4\/16. Let d = f + y. Let t(v) = -4*v**3 + 2. Let o(m) = 17*m**3 + m**2 - 9. Give d*t(j) - 2*o(j).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67126?\nAnswer: 2, 33563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -6, -84*g + 89*g = 2*v - 19 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35935*t**4 + 66202 wrt t.\nAnswer: -143740*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -84\/7287955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 27*z - 100 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(7\/(-7)) + 2. Put -5, -24, v in descending order.\nAnswer: v, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-356052)\/(-414) - (-78)\/(-2691). What is the greatest common divisor of x and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62951117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7647 - 1?\nAnswer: -7648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 263 divided by -260\nAnswer: -263\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*o - 32*o - 157*o + 187*o - 80*o.\nAnswer: 713*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1325*b**3*u - 737*u wrt b.\nAnswer: 3975*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21443377.\nAnswer: 137, 156521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 950*t - 225625.\nAnswer: -(t + 475)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 9) in base 2?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -3)*1\/379. Let m = -27919 + 27919. Which is bigger: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 3*q**2 + 1. Let z be f(2). Suppose -z*x = -4*x + 3. Let u be (40\/12 + x)*0. What is the biggest value in u, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4248, -10640, -19144, -29760?\n\"Answer: -1056*y**2 - 3224*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-12)\/(-120)*3\/(-6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49885\/8 - 6236. Which is greater: -1.9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from {s: 3, q: 12, r: 1, k: 2, w: 2}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -52843 - 0.1?\nAnswer: -52843.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22371 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 275 (b) -1\/10 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 - 7*r - 4. Suppose 6*k - 662 = -176. Let c = 76 - k. Determine a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*m + 10, 0 = 5*t - 8 - 7. Let o be 3 + -7 + 7\/m. Solve -o*l + 2 + 1 = 0, 4*b + 2*l = -18 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -788, -1328, -2074, -3020, -4160, -5488?\nAnswer: -6998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5. Let o(h) = 0 - 295*h + 294*h + 4*h**2 + 5*h**2 + p. What is o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11610 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a factor of 2338367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2156 - 1264. Suppose n = -4*m + 22*q - 21*q, -5*m = q + 1124. What is m rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3\/2*f**2 + 0*f**4 + 0*f**5 + f**3 + 27 + 0*f - 13\/3*f**6. Find the third derivative of x(u) wrt u.\nAnswer: -1560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.534175 - -0.041?\nAnswer: -17.493175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 50*c**2 - 6110*c**3 + 26*c**4 - 2 + 6108*c**3 wrt c.\nAnswer: 624*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 8*b + 103 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -19*u**2 + 3. Let t be g(-3). Let a = 34 - t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*p**2)*(18 + 21 + 56).\nAnswer: 285*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1793509\/2030 + -1767\/2. Which is greater: p or 8\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f - 663 = 363. Calculate the lowest common multiple of f and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.15705.\nAnswer: 0.3141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(((-2)\/30)\/(218\/1090)) - -10\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/190 and -109\/16088160.\nAnswer: 305675040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = 14. Let n(s) = -s**2 - 8*s - 3. Let d be n(b). Let g be (-1)\/d - (-14)\/(-8). Which is bigger: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*c + 66 + 255 = 0, c = 3*w - 456. Round w to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56566445.1 rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/5706 and 71\/66.\nAnswer: 62766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223.000133 - 223. What is j rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9154548 - 1531090. Let z = w + -4347840. Suppose -4*k + 2324382 + z = 0. What is k rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210518657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 2. Let u(l) = l**2 + l + 1. Let p be u(0). Let i(m) = 6*m**2 - p + m**2 + 6 - 3*m**2. Calculate 7*b(o) - 3*i(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 4*a + 15. Calculate z(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1415 and 115?\nAnswer: 32545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49891078 divided by 4?\nAnswer: -24945539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12254, -12237, -12202, -12149, -12078, -11989?\nAnswer: -11882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*v - 2*v - i + 3, 13*v - 5*v + 2*i = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:13 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*c = -3, -4*j + 4 = -4*c + 8*c. Suppose j = 4*q + x - 5*x - 44, -3*x = 3*q - 3. Solve q = -5*n - 4*r, -n = -3*r - 2*r + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezaerrrrrezkrrrzkr. Give prob of picking 1 e and 1 a.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(175) + (-1 + sqrt(175)*5 - sqrt(175)))*2)**2 + 4.\nAnswer: -800*sqrt(7) + 70020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 41. List the prime factors of y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (-1*sqrt(20))**2 - (sqrt(125) + -1).\nAnswer: -19 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1518151 is divided by 2387.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 - -203?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (242\/132*3\/(-33))\/(1\/(-14)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 + 4*s + 2. Let j = -6 - -11. Suppose j*m + 4*p - 1 = 0, 2*p + 21 = -3*m + 5*p. What is g(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k)**(-37)\/((k**(16\/3)\/k)\/(k**(1\/4)*k)) assuming k is positive.\nAnswer: k**(-2257\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1\/3*l**3 - l - 17 - l**2. What is the tens digit of w(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 525*c**2 - 7*c + 12. Let k be o(5). Suppose -2017 = 15*v - k. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (6 + 0) - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104404 + 3375?\nAnswer: 107780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84504 or -84503?\nAnswer: -84504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 717 divide 296734035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j - 1. Let g(d) be the first derivative of -13*d**2\/2 - 2*d + 3. Let w(p) = -2*g(p) + 5*k(p). Is w(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9, 1\/5, 1\/2, -4\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/14 and (14\/12)\/((-68)\/66 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 279 = 294. Suppose 23 = 4*i - 4*b - 33, 0 = 4*i - 2*b - 52. Solve 2 = -q*t + i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 421119 by 3.\nAnswer: 140373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 83*f**2 + 37179*f - 2241. What is b(-448)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwr when four letters picked without replacement from {w: 9, r: 9}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 178 (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -3*j - 170. Suppose 0 = 3*q - j + 8. Suppose 3*s - 180 = 3*p, -3*s = s - q*p - 243. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 8}. What is prob of picking 1 g and 1 o?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3888478 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/63 - (-4 + 4). What is the fourth biggest value in -2, -4\/7, p, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.252638 to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 12:29 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 99, -2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -34466.21154 to zero dps.\nAnswer: -34466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let i(f) = 4*f - 2. Let w(r) = -32*r + 7. Let o(d) = 6*i(d) + w(d). Calculate o(q(x)).\nAnswer: 16*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:52 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -f, -3*p + 4*f - 8 = -30. Suppose 5*i + 1 - p = 5*j, -i = -5*j + 7. Solve -5*n + 34 = -0*n - i*z, -2*n - 2 = 4*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 525349664 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 1, t: 2, l: 1, x: 1, c: 1}. Give prob of sequence tltw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*-0.1513.\nAnswer: -9.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o + 1796 - 1172 = 0. Solve -p - 5 = 0, -p = 2*u - o + 37 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 320.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*r = -53*r + 3*x - 2, -3*r + 3*x = -18. Suppose -3*i - 2 + 6 = -4*p, -3*p = i - 10. Sort -4, r, i, 0 in decreasing order.\nAnswer: r, i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 131*l + 12. Let n(k) = k**2 - 131*k - 9. Calculate -4*n(b) - 3*p(b).\nAnswer: 2*b**2 + 131*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 0.1 (b) 5\/22489 (c) 2 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -505 (base 6) in base 3?\nAnswer: -20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6014*x**3 - 265*x**2 - 360*x + 987 wrt x.\nAnswer: 36084*x - 530","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(2*sqrt(294)))\/(sqrt(8)*-1 - sqrt(32)*-3).\nAnswer: sqrt(3)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 15*d**4 + 3935*d**3 - 6620*d**2 - 5260*d + 5280 = 0.\nAnswer: -264, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 82\/115 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13 from 457512.\nAnswer: 457525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 0*i + 17*i**2 - 20*i**2 + 3*i**3 in the form j*i**2 + v*i**3 + t*i + u and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7300.523 decades to centuries.\nAnswer: 730.0523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1928 - -17282\/9. Find the common denominator of x and -127\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) -2\/17 (c) -5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:37 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -7*l**6\/10 + l**3 + l - 1. Let j(z) be the first derivative of k(z). Find the second derivative of j(i) wrt i.\nAnswer: -252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-55)\/5 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2. Let f(p) = 26*p**2 - p - 1. Let s be f(n). Calculate the greatest common factor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, q: 1}. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 47. Is 41 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14232 and 0.4.\nAnswer: 14232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*f - 1230, 3*i + 275 = f + 47. Calculate the highest common factor of 162 and f.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8823, -8797, -8753, -8691, -8611?\nAnswer: -8513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -3420, -13307, -33008, -65793?\nAnswer: -114932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9380*r - 18926*r - r**2 + 9545*r. Let u(x) = -24*x**2 - 22*x. Let z = -6 + 10. Give z*u(c) - 88*d(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103940 - 64134. What are the prime factors of f?\nAnswer: 2, 13, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 1787715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/5)*r))\/(r**1*r*r)*r**7\/(r\/(r**(-2\/13)\/r)) assuming r is positive.\nAnswer: r**(81\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60061, -60059, -60057, -60055, -60053, -60051?\nAnswer: -60049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = 15. Let p = -2 - 4. Let k = b + p. Calculate the remainder when 3 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -5, 4, 0.13, 3, 0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y = -458 + 128. Let r be (4 - 4 - (-4464)\/742) + y. Is 1 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 354256685?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 12778*d**2 + 122086560*d + 21372212128\/3.\nAnswer: (d - 19196)**2*(d + 58)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*m + 21 + 54. Solve 5*h + 7*d - m = 3*d, 0 = -4*h - 4*d + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.4 + 34. Let i = -7 + 5. Let t be ((-2)\/6)\/((-2)\/(-9)). What is the smallest value in i, m, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 448 and 127744.\nAnswer: 894208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 16)*(-17 - x + 17)*(25 + 8 + 16).\nAnswer: -490*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/17580 and 103\/3551160.\nAnswer: 3551160","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.381813 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.3 rounded to the nearest ten?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -18 + 67\/(-13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -22*f**3 + 4*f**2 + 9*f + 7. List the prime factors of t(-3).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19055 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25332191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1678437139*t. Let n(u) = u**2. Calculate n(d(j)).\nAnswer: 2817151229574505321*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -171\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.1 and -740.\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -1748\/5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*b**4 - 1\/4*b**5 - 1\/4*b**3 + 0*b**2 + 0 + 0*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1)**6\/(o**0*o*o)**(2\/63) assuming o is positive.\nAnswer: o**(752\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 2, o: 2, m: 6, s: 3}. What is prob of picking 1 o and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 6803*u**7\/42 - 293*u**3\/6 - u**2\/2 - 10722*u. What is the second derivative of l(q) wrt q?\nAnswer: 136060*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101202 (base 3) in base 7?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17605 - -4.17605. Which is the closest to 0.08? (a) p (b) 10 (c) 2\/13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -655 by 25.\nAnswer: -131\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = 30. Let u = h - -99. What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.6, 586\/11, -6\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*h + 194*h - 1584 + 4709 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = 4*l. Let a(f) = 47*f - 10. Let p be a(l). Calculate the greatest common factor of 999 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3242\/(-10) - ((-6)\/20)\/(228\/(-1520)). Is a at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*r - 220. Let n = -29 + 69. Let z be (0 - 2)*r\/n. Let s(q) = 6*q - 2. Let c(h) = 2*h - 1. Calculate z*c(y) - 4*s(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/4, -163 in decreasing order.\nAnswer: 0.5, 1\/4, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5853160280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -7 + (0 - 2) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 162, 171, 198, 249, 330?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1119*u**2 - 2*u + 1493.\nAnswer: -2238*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3035450.\nAnswer: 2, 5, 11, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1597*y**2 + 856*y**2 + 738*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*l**5*y + 47781*l**2*y**2 - 439*l*y**2 + 20*l + 7 wrt l.\nAnswer: -180*l**3*y + 95562*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -11*u + 29. Let c be u + (11\/1 - 4). Which is smaller: c or 17\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let n(v) = -46*v**2 + 8*v + 2. Let f(a) = -47*a**2 + 6*a + 1. Let x(s) = 4*f(s) - 3*n(s). Calculate g(x(o)).\nAnswer: -150*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*q + 4 - 3 - q**3 + 607*q - 305*q + 45*q**2 in the form g + w*q**3 + n*q + f*q**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/12 (b) 753 (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -4*b + 3*f, -4*f = 5*b - 0*f - 522. Is (-1)\/1 - (4 - b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -706\/5, 5, -5, 1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 + 47 + v)*(0 + 5 - 3)*(0 + 1 - 4) in the form r + t*v and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 52*o**2 + 362*o - 103. What is s(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-114 + (27 - (-15 - -21)))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s - 1. Let r(a) = -4*a**2 + 8*a + 3. Let m(y) = -2*r(y) - 9*x(y). Give m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 + 353*o\/5 + 142.\nAnswer: -(o - 355)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3491068, 6982135, 10473202, 13964269, 17455336?\n\"Answer: 3491067*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from xffiifiiffiffifiix.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2*t - 45. Let f be s(6). Let z(y) be the second derivative of y**4\/12 - y**3\/3 - y. Let i be z(f). Solve -i = -p - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1648*y = 1748*y - 32757100. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -101 and 4483463541.\nAnswer: 4483463440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:29 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*p = 2075, 2*u + 2*p = -0*u + 838. Let a = -94 + u. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 5*j - 4*r - 731, j - 3*r = 125. Calculate the remainder when j is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2386, 2170, 1810, 1312, 682, -74, -950?\n\"Answer: w**3 - 78*w**2 + 11*w + 2452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87505702.\nAnswer: 2, 29, 1508719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 179844.1211674 and -0.3.\nAnswer: 179843.8211674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1668160 and 0.2.\nAnswer: -333632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 0 + 0 + 13*c - 15*c. Suppose 3*n + 2*n - 10 = 0. Let g(s) = 0*s + n*s - 4*s. Calculate g(w(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 40. Let l be b(6). Suppose 2 = -15*q + l*q. Solve q*p + 1 = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*a**2 - 169*a**2 - 14*a**3 + 22*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1927 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30*(-1)\/1*(-20559)\/18690\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/6))\/p**10)\/(p\/(p*p**3\/p))**(25\/3) assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -78 + (11 - (-7 - 3)) + -6.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1.7, 0.1, 23.89, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44534.28 days to milliseconds.\nAnswer: 3847761792000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3 + 4*k + 1 + 13*k - 2*k. What are the prime factors of m(12)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 593689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 4 + 5 + 4*f + 60*f**2 + 0 to the form i*f**2 + p + h*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3618 divided by 6\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - -3. Does 21 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:56 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.929443l to millilitres.\nAnswer: 1929.443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.109 + -93.609. Let p = 93 + o. Which is the nearest to 2? (a) 17 (b) -2\/19 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2393502 * 0.5\nAnswer: -1196751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 156454231416 + 3?\nAnswer: 156454231422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let p be 2 + (2 - v - -2). Solve p*r + r = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-36) + (-16)\/(-3). Suppose 9 = -3*r - 3*j - 2*j, 4*r = -j + b. List the prime factors of (-2)\/8 - 313\/(-8)*r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - t - 1. Let g = 403 - 401. What is n(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 169120\/29 and 5831 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2*t - 64 - 51 = -0*t - 127, -15 = -5*k + 19*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3672212 to the nearest integer?\nAnswer: 1916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 d, and 1 c when four letters picked without replacement from cccccadcaacdcaac?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/5 - 114\/75 and 9\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1144779137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1239\/97 greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6762\/(-70))\/(-23)*-30*(-50)\/70.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -8. Suppose -b + 3*w = 9, -4*b + r*w + 14 = -2*w. Suppose 14 = b*m - 4*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 15, -4, 49, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - w + d + 49, 2*w + 4*d = 2. Solve -3*k - l + w = -0*l, -3*k + 3*l = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 132409\nAnswer: -132408.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 5\/7, -40, -0.011, -8, -1\/11?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242 (base 5) in base 8?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/17 (b) 1 (c) -3\/4 (d) -16\/13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*d + 24, 0*d - 2*d + 25 = 5*a. Suppose 9*o = a - 3. Solve o = -3*h + 6 - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4241*p + 4243*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 1602?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134319173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {h: 9, e: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46688*y - 76400 = 46680*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n + a - 4, n + 2*a = 4. Sort -7\/6, n, -1, 0.4 in descending order.\nAnswer: 0.4, n, -1, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2, 0 = p - 4*v + 8 - 3. Let l(n) = 2*n - 1. Let s be l(p). Which is the biggest value? (a) -3 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 11:51 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - c = -46, 0 = -0*d - 2*d - 2*c - 40. Let y = 1899 - 1920. Which is greater: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, t: 2}. What is prob of sequence st?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15808 - 5*m - 34*m**3 + 5*m + 5*m**3 - 15757.\nAnswer: -29*m**3 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3fa470 + 2?\nAnswer: -3fa46e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.279 + -0.421. Let g = j - -24.7. What is the third biggest value in -28, g, -0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 791 = -5*r - 783, -4*q = -11*r + 60 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one sixths of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 1\/912483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.837453 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101100001010011101100 (base 2) in base 16?\nAnswer: 1614ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 + -42. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.257564 rounded to zero decimal places?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 0)*(-1 + 1 + 3*y)*(2 - 2 + 3*y)*(0 + 4 - 6) + (-2*y + 0 + 0)*(1 - 1 + 2*y) - 2*y**2 - 1 + 1 in the form i*y + o + u*y**2 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -449\/306 - -25\/18. Suppose -4*q = -2*k + 2, 3*q + 1 = -0*k + k. Is k less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -8648, -55?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Let y(j) = j + 1. Let n be y(i). Is -2\/5 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6126 is divided by 3043?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 53369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b. Let v = 12421 + -12420. Let n(z) = -z. Let i be 52\/14 + (-2)\/(-7). Determine i*n(u) + v*p(u).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i + 8, -3*k + i = 3*i - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**6\/120 + k**3\/6 + 4*k. Let x(c) be the second derivative of r(c). Let g(a) = -6*a**2. What is g(x(s))?\nAnswer: -54*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53711831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (8 + 1 + -19 - 6)) + -62.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 511258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960091549*k - 960091549*k - 333*k**3.\nAnswer: -333*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198702 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jejjjzjjvzjzevjjjjjj. Give prob of picking 2 v and 1 z.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - k + 19. Determine y(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 22400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - -18) + -72 + 18?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 - -182. Suppose 5*z = 2*x - 0*x + 90, -y*z = -3*x - 47. Calculate the lowest common multiple of 12 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2\/2 + 4*o + 4. What is the units digit of q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7798.\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13032 (b) 1\/187 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2901334032 - 2.64.\nAnswer: -2.3498665968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 196111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/14 + (-5472)\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 7*g**2 - 5*g + 12. Let b be 1 - -2*1\/(-2). Let n(h) = -h**3 + h**2 - h + 8. Calculate the least common multiple of n(b) and z(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 - 68*i**2 + 2163 - 8*i**2 + 3*i**3.\nAnswer: 3*i**3 - 66*i**2 + 2163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 2*n - 34 + 32 = 7*d + 14, -3*n - 24 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 17, -6, -65, -172?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*(-3)\/2. Let p = 72196\/3 + -794150\/33. Let t = 0 - 0.1. What is the closest to -1 in o, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**8\/504 + m**6\/180 + 11*m**2\/2 + 8. Let d(i) be the second derivative of l(i). Factor d(a).\nAnswer: -2*a**3*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.8 + 91.309. Let f = q - -49.691. Let s = f + -50. Sort -4, 0, s, 4 in increasing order.\nAnswer: -4, 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75036457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53397295 to the power of 1\/2, to the nearest integer?\nAnswer: 7307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.8583 - 14.78. What is n rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 3.17.\nAnswer: 8.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + w = 2870, 5*l + 7145 = -w - 4*w. What is the tens digit of (l - 0)*(27\/9)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 111*r - 1. Let t be h(1). Suppose t = 4*x - 5*k + 4*k, -x = -5*k - 37. Let v be x - 16 - (0 + 0). Calculate the highest common divisor of v and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + (-45)\/(-10). Suppose 80 = 5*f + i. Calculate the greatest common divisor of 60 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 1. Let x be n(-2). What is the third derivative of 61*w**2 - 3*w - 65*w**2 + 0*w**6 - 17*w**5 - 53*w**x + 2*w**6 wrt w?\nAnswer: 240*w**3 - 4200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1597*i - 2398*i - 2016*i + 948*i + 933*i.\nAnswer: -4130*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 0*l**2 - 5\/12*l**4 - 3 + 0*l**3 - 5*l. Let c(b) be the first derivative of i(b). Let x(z) = -3*z**2. Calculate c(x(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*r**4 - r**3 + 5*r**2 - 3.\nAnswer: 216*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(-9*c + 48*c + 66*c)*(-2 - c + 2)*(-3*c + 2 - 2) + c**3 - 7*c**3 + 3*c**3.\nAnswer: -318*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0257954 rounded to 4 decimal places?\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 939 or 46062\/49?\nAnswer: 939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696 divided by 87.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 15*v - v - 13*v - 4*v**2 to the form s*v**2 + c + i*v and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 + 75 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*h**3 + 176*h**2 + 3659.\nAnswer: -27*h**2 + 352*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25801\/1876 - -3\/938. Suppose -4*h = 2*q - 4*q - 392, -3*h + 603 = -3*q. Find the common denominator of 3\/((-27)\/q)*(-3)\/20 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 70. Let m = h + -8. Let s(r) = r**2 - 7*r - 1. What is s(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54710556 and 1428.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57660 + 34195 = -247*n. Let o(b) = 50*b**3 - b**2 + 1. What is the remainder when n is divided by o(1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 104.248. Let m = -2.752 - p. What is the nearest to -1\/2 in -6, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d**2 + d - 2. Let p be l(2). What is the units digit of (-2 + 178\/(-5))\/((-2)\/p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5299*r + 2486 wrt r?\nAnswer: 5299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**2*w**4 + 9*f**2*w**2 - 35*f*w**2 + 71*w**5 + 5*w**3 wrt w?\nAnswer: -48*f**2*w + 4260*w**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1222\/39*(-3 - 0). Let i = y - -96. Suppose 0 = -3*l + 2*r + 3 + i, -3*l + r = -4. Which is the third smallest value? (a) 11 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**5\/150 - 19*l**4\/60 - 34*l**3\/15 + 16*l**2 - 160. Let k(g) be the second derivative of m(g). Factor k(r).\nAnswer: -2*(r + 2)*(r + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5\/9 - 100*b**4\/9 + 328*b**3\/9 + 524*b**2\/9 - 326*b\/9 - 424\/9 = 0.\nAnswer: -53, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1388434 + 1388434 - 1191*v as f + b*v and give b.\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (889\/7*1)\/(1\/3). Let d = k - 252. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 438?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(12\/7)\/v**(2\/15))\/(v**(-1\/2)*v\/(v*v*v*v*((v\/v**(-17))\/v)\/v*v*v)) assuming v is positive.\nAnswer: v**(4847\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 83 = 108 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -v - 3*w, 2*w + 2 = -2*v + 12. Let m(b) = -4*b**2 + 3*b**2 - 16*b + 4*b + 0*b**v. Is m(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18899686 divided by 13\nAnswer: -1453822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from vjuvj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 79 - 7 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let b be 144\/(-45) - (-504)\/120. Let i(k) = 7*k**2 - 7*k + 3. Determine b*i(d) - 3*r(d).\nAnswer: 7*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**3 + 4*j - 4. Let u be q(2). Let t = 64 - u. Solve 0 = -a - 4*v + 3, -t*v + 4 = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1948 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*x = -2*h + h + 16, -22 - 63 = -35*h - 3*x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 74*r + 1179. What is b(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(3\/8))\/u*u))\/(u**(-2\/3)\/u)*(u**(1\/3))**(-9)*((u**(-2))**(-13))**(2\/37) assuming u is positive.\nAnswer: u**(397\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/420 and 71\/8?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-10)\/(-6) + -1). Suppose -3*y - j = -8. Let k be (1\/2)\/(y\/484). Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-662)\/7)\/(50\/(-15)). Let c = 144\/5 - a. Is 1 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-204)\/(-9) + (-4)\/6. Let u = r + -13. Suppose -2*d + 3*d - 18 = 0. Calculate the highest common factor of d and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16580, 33168, 49756, 66344?\nAnswer: 82932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6*3\/(-36)*-3968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = 10. Which is the second smallest value? (a) 5.1 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3266267477078 from -0.9.\nAnswer: -3266267477078.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 15. Let k = 22 + x. Calculate the least common multiple of k and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 8. Let z = 355 - 331. Calculate the remainder when z is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + f = -3*f - 16, -5*p = 4*f + 10. Suppose 3*c - p*s - 12 = 0, 0*c - 4*c + 3*s = -16. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/40)\/(2\/(-4)). Suppose r - 10 = -o. Suppose 0 = -2*g + 5*k + 1, -4*k + r*k - 5 = 0. Solve 0 = g*h - 10 + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = 36. Let i(w) = w**2 - 9*w + 2. Let g be i(a). Suppose -m - p = 3*m - 48, -p + 22 = g*m. Solve -3*v = -s - 14, -m = -4*v + 3*s + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.3, 13, 45, 0.5 in decreasing order.\nAnswer: 45, 13, 0.5, 2\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346663.\nAnswer: 19, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2880\/720)\/(1\/(30\/((-12)\/4)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1146 + 3111. Which is the nearest to u? (a) -5 (b) -2 (c) 0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12158 divided by 1?\nAnswer: 12158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/((-2)\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 120.39085.\nAnswer: 120.42085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1768 = 333*m - 681*m + 308*m - 368 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 17*g**2 - 16*g + 9. Let l be q(16). Suppose -5*x + l*d - 13*d = -130, -2*d = 0. What is the remainder when 77 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Let l be (2\/(-4))\/(d\/(-30)). Suppose 3 = -0*m - l*m. Sort m, 1, 2 in ascending order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = -5*l + 2*m, -5*l + 3*m - 64 = 5*m. Let h = 81 + l. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00083180799 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2376, 1, -5 in ascending order.\nAnswer: -2376, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -21. Let s(r) = 137*r - 1913. What is the smallest common multiple of s(14) and ((-4)\/(-5))\/((-1)\/w)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 16 = -2*q - 2*w, -q - 5*w = -17. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**3\/27 - 7*w**2\/6 - 68*w\/9 + 1458. Determine t, given that i(t) = 0.\nAnswer: -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (-8 - (0 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - g = 73, -2*g - 34 = 3*x - 126. Suppose -x*r = -61*r + 378. Let k = -9 - -15. Calculate the highest common divisor of k and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 9 = -4*s + 4*m, 2*s - 3 = m. Let n(p) be the third derivative of -1\/12*p**3 - 2*p**2 + 0 + 1\/48*p**s + 0*p + 1\/120*p**5 - 1\/240*p**6. Factor n(j).\nAnswer: -(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -86*z**2. Let y(l) = 2840*l. Determine y(t(u)).\nAnswer: -244240*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by -1415.\nAnswer: -23\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Suppose -x - 3*n + 36 = 0, 2*x + 4*n - 7*n = 99. Let b = x + -137\/3. Put -1\/4, w, b in decreasing order.\nAnswer: w, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 682077, 2728307, 6138685, 10913205, 17051861, 24554647, 33421557?\nAnswer: 43652585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11.8. Let n = t - 1.218. What is n rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -951*a + 951*a - 23*a**3 + (a**3 - 4*a**3 + 2*a**3)*(1 + 0 + 0).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 22*b - 2*b)*(-b**2 + 2*b**2 + b**2) - 6*b**3 + 0*b**3 - 11*b**3 in the form v + w*b**3 + t*b**2 + i*b and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 - 319 = -296*g - 63 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*a - 5*a + 7*a + 2*v, 2*v = 15*a + v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfbkqqsvbksb. What is prob of picking 3 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.8538 days in weeks?\nAnswer: 7.6934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -24213.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s**3 + 0 + 33*s + s**2 - 1\/8*s**4. Let u(c) = 137*c. What is u(a(p))?\nAnswer: -411*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41227 (base 12) in base 13?\nAnswer: 2c8ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**2*g + 3*d**2 + 3*d*g**2 - 156*g**3 - 53 wrt g.\nAnswer: 2*d**2 + 6*d*g - 468*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42222861 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 5, 0.4, -0.013?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -72 + 45 - q + 47. Let j be r(13). Suppose -j*g + 74 = -31. Calculate the remainder when 57 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.10432, 0.4, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48247 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.02276961.\nAnswer: 0.2276961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.42 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 - ((4 - 2) + 1). Suppose -3 = l - r. Let k be ((-9)\/(-15))\/(l\/30). Is k at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -4, -0.1, 1\/14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.111 - -0.111. Which is the nearest to -9? (a) -2 (b) -3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -1 (c) 26 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557413629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 434 + -101. Let d = -193 + s. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53, -3, 47?\n\"Answer: 50*g - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -df - -1?\nAnswer: -de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 - ((-89 - -23) + (-1 - (2 + -3))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 158148?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650629 > 3650652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z - 183*z = 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjh when three letters picked without replacement from hsmsmj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97 - 70*j**4 - 69*j**4 + 17*j**4 wrt j.\nAnswer: -488*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -287042, -574074, -861106?\n\"Answer: -287032*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1923198 and 89\/164?\nAnswer: 157702236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 = 5*d + 5*r, 0 = -6*r + 7*r - 3. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1360\/100 - 14) + 2901\/15. Solve 183*j - 40 = m*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/12*-42*(-2)\/6. Suppose 11*s = t*s - 3*h + 1037, 3*h + 1043 = 4*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(((g\/(g*g\/(g**(1\/51)\/g*g)))\/g)\/g)\/g)**0)**(-3\/7) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -640 (base 15) to base 4\nAnswer: -112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 900864268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 224662800 minus 236?\nAnswer: 224662564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -729443554*a**3 - 15295240?\nAnswer: -2188330662*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -501 + 727. Let s = x + -207. Let f = -4.93 - 0.07. Which is the second biggest value? (a) 3\/2 (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 16 - o**3 + 17 + (4 - 3 + 0)*(-o**3 + 0*o**3 + 3*o**3) - 8*o + 8*o - 5*o**3 as g*o**2 + l*o + f*o**3 + n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -135405?\nAnswer: 135411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 3*b - 11, -3*z = -3*b - 14433 + 14421 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 6336740*r**2 - 1952071660*r + 150318648480.\nAnswer: 5*(r - 154)**2*(r + 1267656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2462*a**2 + 2*a + 14. Let i(r) = 54165*r**2 - 45*r - 315. What is -4*i(k) - 90*l(k)?\nAnswer: 4920*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = 11080. Is (-4)\/20 + k\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.704?\nAnswer: 0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 102\/13 (b) -38 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-k**3 - 2*k**3 + 2*k**3) + (-35 + 8*k + 35)*(-2*k**2 - 4*k**2 + 4*k**2).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 760, 616, 230, -518, -1748, -3580?\n\"Answer: -20*u**3 - u**2 - u + 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (-2*sqrt(320))**2)*3 - ((sqrt(5) + sqrt(5) + sqrt(5) + 1)*-6 - sqrt(80)*1)**2)*2.\nAnswer: -528*sqrt(5) + 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 4*x**2 + 4*x - 1. Let s be v(3). Let r be 1\/(-2 + 76\/36). Let q be -2 + r + -3 + 1. Solve 0 = q*l, 3*t - 3*l = -s*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d - 15*d - 11*d - 17*d - 24*d + 115*d - 12*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5988, 5985, 5982?\nAnswer: 5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5996, 5461, 4926?\n\"Answer: -535*z + 6531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, m: 2, v: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23058264067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2)*(-2 - -1). Suppose 4*n - 12 - 60 = m. Suppose -2*z + 8 = -n. Solve 4*g - 4 = -2*x, -4*x + z = 3*g - 0*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 804, 3219, 7244, 12879?\nAnswer: 20124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84123 + 19179965\/228. What is the common denominator of -59\/1254 and t?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.111, -3, 15 in ascending order.\nAnswer: -3, 4.111, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 515*r + 533*r - 946*r + (-4 + 4 + 2*r)*(-2 + 0 + 3).\nAnswer: 104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/59, 76, -2, 2 in decreasing order.\nAnswer: 76, 2, -1\/59, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*f - 143*f + 57 = -4*v, 5*v + 5*f + 30 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*o**3*s**3 - 89*o**3*s**2 + o**3 - o**2*s**2 - 2*o*s**3 + o*s - 89*s**3 wrt o.\nAnswer: -84*s**3 - 534*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (74\/(-1221))\/((-3)\/27). Let m(o) = 3*o**3 + o**2 - o. Let f = 1 - 0. Let b be m(f). Put b, 2\/3, i in descending order.\nAnswer: b, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcysj. What is prob of sequence sx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1\/6*h**3 + 0 - 2\/3*h + 0*h**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-1)\/(-4))\/((-6285)\/10894)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 835*k + 37519. Let p be t(222). Let o(j) = -2*j - 9. Let d be o(-6). What is the nearest to p in 3\/2, d, 10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, 1 l, and 1 g when four letters picked without replacement from {g: 2, l: 2, v: 2, j: 3, r: 1, t: 2}.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:56 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 130030 from 206.\nAnswer: -129824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1750 is divided by 16898\/(-1988)*(1 + 6\/(-2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*a = 933*a - 466*a - 689 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355525989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 3589 and -0.0303 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682545 take away 989.9?\nAnswer: 1681555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c + 32. Let m be f(-7). Let p(v) = 3 - 7*v + m*v + 4*v + v**2 - 7*v. Suppose 0 = -2*z - 0*a - 5*a + 15, 3*z + 2*a - 17 = 0. What is p(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 215210\nAnswer: -21521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003728 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + 1.1. Let u = 19 - 20. What is the fourth biggest value in 1\/2, v, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeseeeeeeee. What is prob of picking 3 e?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auaaauaauu. Give prob of picking 1 u and 2 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, -5, -201, 2, -4 in decreasing order.\nAnswer: 26, 2, 0, -4, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*f - 1764 + 386 = 0, s + 3*f - 694 = 0. Suppose -41 = -4*k + s. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011010011101111111 - -110?\nAnswer: -1000011010011101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*p + 144 = 0, -6*p + 3*p - 184 = -5*w. Let k = w - 26. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7515 divided by 1503?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 208*n**2 + 4*n + 3. Let w be u(-2). Suppose -4*x + w = -3*r, 2 = 2*r + 4. What are the prime factors of x?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3010562 (base 10) in base 9?\nAnswer: -5587638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1974 = -20*o - 27*o. Which is bigger: o or 30?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-18)*33\/(-110).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171710380 >= -171710376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*s + 2*s. Suppose 21*h + 6 = 24*h. Suppose h*d + 1 = g - 0*d, 5*g = -5*d + 35. What is the lowest common multiple of g and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 111. Let w be (4 + u\/(-3))\/((-4)\/6). Solve b + 17 = 3*x, -4*x + 5 = 3*b + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 2:59 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465 and 65955.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173 - -174. Let j = -3 - -3. Suppose 4*a - 20 = -j*a. Sort a, n, -4 in descending order.\nAnswer: a, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3987\/44 or -91?\nAnswer: -3987\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2008035125 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 987 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 36*n**4 + 13580*n**3 + 1288936*n**2 + 1558144*n + 282752 = 0.\nAnswer: -188, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/4*2. Let z(p) = 9*p + p**2 - p - t*p**2 + 8. What is the remainder when z(6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48432.\nAnswer: 2, 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-1*-3)\/(sqrt(50)\/(sqrt(45)\/sqrt(9))))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*v - 10, -3248*v + 2*i = -3253*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34623675*k**4 - 352738*k**2 + 15*k wrt k.\nAnswer: 830968200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -635 by 11904.\nAnswer: -635\/11904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x + 3299. Let o(j) = -j. Give o(y(c)).\nAnswer: c**2 - c - 3299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 709+0.033\nAnswer: 709.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, n: 1, x: 4, a: 2, b: 4, z: 3}. Give prob of picking 1 n, 1 b, and 2 z.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -564355?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = x - 8 + 31, -9 = 3*x. Suppose p + v = 17. Find the common denominator of 41\/18 and 1 + 230\/p + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46227 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Calculate the common denominator of -9\/19 and (-171)\/(-27) - (0\/1 + q).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 53, 80, 107?\n\"Answer: 27*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 62475, 124964, 187453, 249942, 312431, 374920?\n\"Answer: 62489*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 203436, 406870, 610300, 813726, 1017148, 1220566, 1423980?\n\"Answer: -2*g**2 + 203440*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251243112.\nAnswer: 2, 3, 10468463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -91.\nAnswer: 10.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1)\/((-2)\/7). Let b(c) = 11*c + 6*c**2 + c - 3*c + 2 - c**3. Is b(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 864*w + 3440.\nAnswer: (w + 4)*(w + 860)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020870194 to 5 dps.\nAnswer: -0.02087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3706800 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97286724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29270348 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcccbceccbbjcbjbb. What is prob of sequence cej?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376948.9 seconds to microseconds.\nAnswer: 376948900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by 14798.\nAnswer: -74\/7399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 3. Let y(u) be the first derivative of 4*u**3\/3 - 5*u + 22. Determine 5*o(g) + 3*y(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 44945 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3030002*c**4 + 16*c**2 - 100377 wrt c.\nAnswer: -72720048*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 18*o**2 + 4*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2388257664 divided by 4?\nAnswer: 597064416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55283 by 59.\nAnswer: -937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 5391447891?\nAnswer: 5391447894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -460*k**4 - 119*k**2 + 1.\nAnswer: -11040*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 29*i. Let w(y) = 6414*y. Determine a(w(l)).\nAnswer: 186006*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 2*j + 4*i - 296, 1171*j - 2384*j - 3*i + 260 = -1184*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from quug.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26596489 and 2344?\nAnswer: 212771912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5658346 + -6000654. What is f rounded to the nearest 100000?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 61*y**2 - 203*y + 133. Does 10 divide q(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**6\/12 + 7*x**5\/20 - x**4\/2 + x**3\/6 + x**2\/4 - x\/4 - 86. Factor v(z).\nAnswer: -(z - 1)**4*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 750 - -766?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -527 - -550. Suppose 4*l + 3 = m. Solve 11 = -2*s + 5*v, l*s = -2*v - 0 + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -682*z**3 + 338*z**3 + 339*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -225 greater than -5164\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -9 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16891 divided by 11?\nAnswer: -16891\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9124 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 14*o = 90. Let x(u) = u**2 - 2*u + 2. Calculate the smallest common multiple of x(2) and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2619 + -7723\/3. Let l = t - 45. Which is the closest to -1? (a) 5 (b) l (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 - 42 - -8 - (42\/(-112) + 10\/(-16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 10*y + 5 + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.115. Let q = -55.985 + b. Let l = -56.00038 - q. Round l to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1825705 (base 10) in base 4?\nAnswer: -12331232221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 7, r: 2}. Give prob of picking 1 g and 1 r.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t + 49. Let i(z) be the second derivative of z**3\/6 - 6*z**2 + 21*z + 3. Let h = 1131 - 1133. What is h*l(a) - 9*i(a)?\nAnswer: a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuuu when four letters picked without replacement from ffuufffuuuuuu.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -109*v - 31. What is the units digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n + 17 - 18 + 4*n**3 - 2*n**3 - 2*n. Calculate z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 9*w**4\/5 - 93027*w**3\/5 - 1833078*w**2\/5 + 683376*w\/5 + 248544 = 0.\nAnswer: -20, -2\/3, 1, 10356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 24 - 1 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 33640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 7*c**2\/2 + 19*c - 7. Let a be d(7). Let b = -48 + a. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 13 = -3*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3*y - 361155*a*y - 2*a + 58235663*y wrt a.\nAnswer: 9*a**2*y - 361155*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96885706 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5312444 * -0.24\nAnswer: -0.127498656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*l - 258 = l, -2*u + 244 = 4*l. Round u to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522*a**3*p**3 - 1844*a**3*p**2 + 230*p**3 - p + 35 wrt p.\nAnswer: -3132*a**3 + 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44255 and 17013.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2142, -3880, -5604, -7308, -8986, -10632, -12240, -13804?\nAnswer: -15318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + 6*(0 - -1). Let p be 5\/(-20)*4\/l. Is p greater than or equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -213.\nAnswer: -86\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 387704254 + 0.3\nAnswer: 387704254.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/70? (a) -3 (b) -4\/27 (c) 4 (d) -3\/8 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -9*a. Let c = 31 + -35. Calculate the remainder when 70 is divided by j(c).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-11) - (-260)\/1001. Which is the closest to o? (a) 5 (b) -0.3 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.13 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 217986253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**6\/360 - m**5\/20 - 3*m**4\/8 + 23*m**3\/3 + 38. Let g(p) be the third derivative of f(p). Give g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40115684.\nAnswer: 2, 7, 1432703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (123\/(-168)*-4)\/(2\/2) and -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 32*s**3\/13 + 2782448*s**2\/13 + 60484506818*s\/13 = 0.\nAnswer: -173903\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.199 and 5.201.\nAnswer: 5.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 1:27 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**3 - 43*t**2\/3 + 8*t + 4\/3 = 0 for t.\nAnswer: -2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20227 (base 13) to base 11.\nAnswer: 3a217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 42 = -3*n + 3*w, 0 = 4*n + 2*w - 84. Let a be 3\/(-9) - (-532)\/n. What is the highest common factor of 100 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2520542878 to the nearest integer?\nAnswer: 50205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 980*x**2 - 5*x - 3. Let q(p) = -1960*p**2 + 8*p + 5. Let h(j) = -5*c(j) - 3*q(j). List the prime factors of h(1).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273459, -273460, -273461, -273462, -273463?\nAnswer: -273464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 793\/39*(125 - 128)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*k**2 + k**2 + 15 + 2*k - 9 - 4*k**3 to j + f*k + y*k**3 + d*k**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 1561030*v**2 - 121845416000*v + 731016300000.\nAnswer: -5*(v - 156100)**2*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -103*t + 99. Let z(k) = 104*k - 83. Determine 6*o(w) + 7*z(w).\nAnswer: 110*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + -11 + 24 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k**2 + 18*k - 18. Let u(q) = q**2 - 1. Let j(z) = l(z) + 6*u(z). Let o be j(14). What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)\/t)**(-2\/9))**8 assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 2 - 4)*(0*g + 4*g + g) + (-1 - 5 + 5)*(3 - 3 - 3*g))*(-222*g**2 - 212*g**2 + 482*g**2) to the form s + k*g + l*g**3 + r*g**2 and give l.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {i: 2, k: 2, c: 2, s: 1, m: 4, g: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416234 by -4574.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -0*n + 7*n, -5*n = y + 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.9, 0.2, -1 in increasing order.\nAnswer: -3.9, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4853, 10829, 16745, 22571, 28277, 33833, 39209?\nAnswer: 44375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + f - 31 - 23 = 0, -2*x + 2*f = -42. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99\/2 - -47. Let i = 2861 + -2861. Which is the third smallest value? (a) y (b) i (c) 3\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0092 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2205566m to millimeters.\nAnswer: 220.5566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 14. Let u be w(-5). Let a(r) = -7*r + 17. Let n(b) = 14*b - 35. Let h(o) = u*a(o) - 6*n(o). Differentiate h(x) with respect to x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.3 (c) 1\/13 (d) -0.1 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13690 is divided by 284.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 356257401 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 -4*u = -4*f, u = -u + f - 3. Let k = u + 4. Suppose -z + 4 = k. Solve -z = 2*j - j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 3*b + 3. Let m be f(3). Suppose 98 = m*z - 127. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 2.\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 125 - 115750*q.\nAnswer: -115750*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1) + 22227 + 37 + -35 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 166 - 168. Let v = 19 + -9. What is the remainder when (-3 + v)*(m + 2) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2550 and 45.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/4426?\nAnswer: 1\/4426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 15 - (-34 + 0). Suppose 0 = -x + q + 18, -3*x + 5*q + m = -28. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6717.4402 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Let a be (-1)\/(-3)*42\/f. Solve -a = -2*g + j - 2*j, 5*g - 19 = -j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.6 and 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1300)\/(-15) - 2\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*a**3 - 272*a**2 - 15*a\/4 = 0. What is a?\nAnswer: -5\/366, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/4 + 331*k. Let j(p) = 15*p**2. Calculate d(j(i)).\nAnswer: -675*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 692728 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -826533 take away -77?\nAnswer: -826456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -71812.7 rounded to the nearest one hundred?\nAnswer: -71800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r - 2810 = 0. Suppose -4*j + 87 - r = 5*q, 5*q - 650 = 5*j. What is the common denominator of 89\/10 and 2\/(-8) - j\/28?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -s + 22, -67*s - 10 = -x - 70*s. Let h(q) = 3*q + 3. Let c(y) = -5*y - 6. Let o(g) = -6*c(g) - 11*h(g). Calculate o(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/2 - s**3\/6 - 2*s**2 - 660*s + 4. Determine l(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 25 = 5*x, -2*k + 2*x - 14 = -2*x. What are the prime factors of k\/(22\/7 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -659*w. Let y(g) = -46298*g. What is b(y(s))?\nAnswer: 30510382*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -h + 199, 5*c - h + 41 = -288. Let y be (-150)\/39 + 10\/c. Let n(b) = -3*b + 2. Give n(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4047*q + 5 = -4052*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*d - 2 = 0, 3*d + 3 = -3*z + 2*d. Let v be (-79)\/3 - z\/6. Let g = v + 48. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-21 - -7) + 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 898555.9 nanoseconds?\nAnswer: 0.8985559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o - 2. Let v be l(3). Which is smaller: v or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1863357\/23 and 81016 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6429 and 755.\nAnswer: -5674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v**2 + 1. Let j = -4 - -5. Let t = j - 2. List the prime factors of o(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36275 by 1.\nAnswer: 36275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -2*p**5\/45 - p**4\/6 - 2*p**3\/9 - p**2\/9 - 27. Factor n(v).\nAnswer: -2*v*(v + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 16*x**2 + 18*x - 47. Let q be z(15). Which is smaller: q or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymm when three letters picked without replacement from rymmrgnxgrnm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 306.8764mg?\nAnswer: 0.3068764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/9 + 337274*f**2\/3 - 224850*f + 1011826\/9 = 0.\nAnswer: -505913, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 1997, -9, -1, -1.1 in descending order.\nAnswer: 1997, -1, -1.1, -9, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) + 5\/(550\/(-64)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-969)\/(-306) + (-5)\/(-6). Solve -f = -6*n + 3*n + 1, 5*f = -o*n + 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 1 + 4*v - 4*v)*(-4*v**2 - 2*v + 2*v) to the form y*v**2 + j*v + s*v**3 + u and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5418.\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 81 - 219. Suppose -3*f + 3*r + 15 = 0, 0 = 4*f - 0*r - 3*r - w. What is the common denominator of 6\/f*1 + 175\/220 and -83\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.4 - 8.3927. What is r rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 417, 405, 391, 375, 357, 337, 315?\n\"Answer: -h**2 - 9*h + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1800)\/1650 - 1422\/(-33) is divided by (-2)\/4*-2*22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948100042?\nAnswer: 2, 1974050021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 197584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - i**2 + i**3 + (0*i**2 + 0*i**2 + i**2)*(-13 + 2*i + 13).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 1}. What is prob of picking 4 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1530 (base 10) to base 11\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -981.3 < -28\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 105261369337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 0*y)*(-4 + 2 + 9)*(-6*y**4 + 98*y - 98*y)*(-3 + 1 + 4).\nAnswer: 252*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -35177, 3\/2 in decreasing order.\nAnswer: 3\/2, -0.4, -35177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from zeeze?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2)*-17*(-1)\/17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -20, -51, -112, -215, -372, -595, -896?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvzzruzuzvnzng. What is prob of picking 1 z, 1 r, and 2 u?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1466 - 709 + 103 = -86*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/3 - b**4\/24 - 23*b**3\/6 + 2*b**2 + 27*b. Find the first derivative of f(a) wrt a.\nAnswer: -40*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -2003?\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Let n = w - -1.2. Let f = -37\/7 + 39\/7. Which is the smallest value? (a) f (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4729 divided by 4228\nAnswer: -4729\/4228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 21932*y - 21960. What is n(1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 28 = -7*h - 4*u, 58*h - 54*h - u = -u + 3*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 + 1111161. Let k(y) = -y. What is q(k(s))?\nAnswer: 6*s**2 + 1111161","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by (-5)\/(5\/(-7))*(-52)\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x + 2. Let t be n(4). Let p = t - -70. Let c = -29 + p. Solve -12 = -c*d + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 11034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 5*v + 4812 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a - 503*a**2 - 9*a - 19*a.\nAnswer: -503*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njemenmeieememim. Give prob of picking 1 i, 1 n, and 2 e.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c - 6*c - 5*c + c**2 + 4 - 2. Let l be i(8). Factor 0*x**3 - 2*x**2 - 7*x**2 - x**3 + 8*x**l.\nAnswer: -x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285949869.\nAnswer: 3, 23, 4144201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/1 - 3\/1. Suppose y - m = -22, m + b = 2*m. Is 7 a factor of (-6 - -3)*y\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -s + 3*j, -3*s - 3*j + 26 = -1. What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1\/8, -14, 0.1, 2, 25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/45, -2\/3, 4.\nAnswer: -2\/3, 4\/45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 2*y**5\/5 - y**4\/8 - y**3\/6 - y**2. Suppose 19*n + 79*n = 294. What is the units digit of z(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1554 + -96.685.\nAnswer: 1457.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5 + 2 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -446810867.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*o - 104 = 3*b, 0 = -4*b + 4*o - 92. Let n = -15 - b. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/3 + 1712*f\/3 + 732736\/3 = 0.\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.134 - -8.134. Which is the third smallest value? (a) u (b) -4 (c) -3.2 (d) 0.5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 64?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -10*i + 9*i + 6, 0 = 2*i + 3*w + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + w + 7. Let t be ((-49)\/21)\/(2\/(-6)). Let g(c) = 3*c**2 + c + 4. Let p(o) = t*g(o) - 4*z(o). Determine n so that p(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:23 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16018741*a**4 + 1865*a**2 + 5*a - 18 wrt a?\nAnswer: 384449784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/60 + i**6\/90 + 7*i**5\/60 - i**4\/6 - 11*i**3\/6 - 9*i**2. Let g(x) be the first derivative of s(x). Solve g(d) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffi when four letters picked without replacement from {i: 3, f: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 + 4*t**4 + t**5)*((0 + 2 - 1)*(4 - 2 - 3) - 4 - 5 - 14).\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-22)*28*-1. Suppose 0 = 3*f - 4*f - 4*f. Solve -4*q + f = -5*j + 2, 4*j - u = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 25. Suppose f - 4*l + 4 = 0, -5*f - 3*l = -4*f + 4. Is t greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14317837394 + -25489\nAnswer: -14317862883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289.3 + 283.30064. Let g = p - -6. Round g to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12*c**3 + 2*c**2 - 14561*c + 14565. Calculate a(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3863446 and 36.\nAnswer: 69542028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49943 is divided by 251?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 42. Suppose 20 = 2*v - l*v. Are v and -20 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 + 4*y + 2. Let q be z(-3). Let l(k) = 5 - 5 - q*k - 5. Let g(r) = -4*r - 1. Give 9*g(f) - 2*l(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.626525ml to litres.\nAnswer: 0.007626525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.005785 - -0.02779. Let u = 0.278 - 0.3. Let d = w + u. Round d to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2792*u - 58 = 2794*u - 6*p, -11 = -3*u - 5*p + 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2045353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -11*h - 22. Calculate z(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/30*3 - 29\/20?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191737 is divided by 47563?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:48 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 5)*(2*x**2 + 0*x + 0*x) - 6855*x**2 + 2408*x**2 + 6*x - 7*x in the form y + g*x + w*x**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 10*d**2 + 11*d + 26. Let t be y(11). Let q = 345 - t. Calculate the highest common factor of 29 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/28 + (16 - 1760\/112).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21456 divided by -5364?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -31, -125, -309, -613?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -7270 and -7292 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40.8 + 41. Put -1\/2, 2\/5, 5, a in descending order.\nAnswer: 5, 2\/5, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**14)\/v)\/v**(1\/17) assuming v is positive.\nAnswer: v**(-239\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2218*x**4 + 37*x**2 + 10*x?\nAnswer: 53232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 333.791 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 78, -77?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4*(-22 + 12). Let j(a) = 12*a - 8. Is j(g) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 13 = 1. Suppose 2*s = -4*a + 142, -37 = -a - s + 2*s. What is the greatest common factor of a and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 4, m: 5}. What is prob of picking 1 w, 1 m, and 1 a?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 - 4*g. Suppose 4*a = -2*s + 30, -s + 12 - 2 = a. What is z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314244194.4513493 - 314244175. Let t = v + 0.5486127. Let k = -20 + t. What is k rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -2 - 1*sqrt(11)*-1) + -1.\nAnswer: -3 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*b + 17, -3*w + 3*b + 28 - 7 = 0. Suppose 0 = -6*l - w*l + 40. Solve 3 + 2 = m, l*s + 15 = 5*m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (-18 - (-36 - -23) - (-10 + 2 - 2))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 2, -8 in decreasing order.\nAnswer: 2, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107060 - 14132003\/132. Calculate the common denominator of (-6)\/(-24)*242\/(-3) and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:40 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 + 4 + -14 + 5 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/6, -9, -12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/9 + 20*l**2\/9 - 50*l\/9.\nAnswer: -2*l*(l - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 222*h**2 + 198021*h\/4 + 196249\/2.\nAnswer: (h + 2)*(h + 443)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - o**4 - 2 - 2*o**3 - 2*o**2 + 1 in the form m*o**4 + v*o + x*o**2 + s*o**3 + b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*c - 5 - 44*c + 117*c to the form p*c + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/3 + 4747*m**4\/3 + 114416*m**3\/3 + 420520*m**2\/3 - 3206896*m\/3 + 3740464\/3 = 0.\nAnswer: -14, 2, 4771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 387569948 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*x - 33*x - 36*x - 22*x**3.\nAnswer: -22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7*a - 22. Let o be t(4). Suppose -82 - 1904 = -o*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (82*u - 39*u + 105*u + 95*u)*(-2 + 3 + 0) as m*u + d and give m.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1237919776?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 41053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 + 9*t - 25. Is f(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-504)\/882 + (-4)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (70\/8)\/((-9)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84085.8 to the nearest 1000.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44432724 divided by 12061.\nAnswer: -3684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:51 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*x - 59*x - 6*x + (2*x - 5*x + x)*(2 + 0 + 0) - 2*x + 3*x + 0*x + 4*x - x + 0*x + x - x - 4*x.\nAnswer: -39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 - 5*z + 2. Let t(v) = 9*v**2 + 7*v - 3. Let j(i) = -7*d(i) - 5*t(i). Let a = -85 - -84. Calculate j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5331 - -2433242?\nAnswer: 2423511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 818246.8cm to nanometers.\nAnswer: 8182468000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((756\/30)\/6 + -3)*40\/(-42).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/5 - -7\/5. Let s = -53\/5 + 169\/15. What is the closest to -1\/2 in s, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37667863.\nAnswer: 37667863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273151?\nAnswer: 29, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 289*g**3\/3 - 559*g**2\/2 + g + 360. Differentiate k(x) with respect to x.\nAnswer: 578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -420*g + 1268*g - 424*g - 424*g - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 9. Suppose 4 = -u*d + 46. Let v(l) = l**2 - 12*l - 8. Calculate the smallest common multiple of v(d) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 3*b**2 + b**2 + b**2 - 4*b**2 + 4*b**2.\nAnswer: 2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)*j\/j**(-6\/13) assuming j is positive.\nAnswer: j**(6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 1. Let q(f) = f**3 - 2*f**2 + 2*f - 2. Let p(t) = h(t) + q(t). Let n be p(3). Solve -4*d - 6*r + 13 = -r, n*d = -4*r + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 1405343?\nAnswer: 1405345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 62*x - 460. Let d be h(32). Solve -d*j - 54 = -610*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = b + 3*m + 8, -3*b + 2*m + 18 = 0. Suppose -31310 = b*l - 35*l. List the prime factors of l.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 3)*(2*a**2 + a**2 - 2*a**2) + (-a**2 - 2*a**2 + 0*a**2)*(5 - 2 - 7) as h*a + b*a**2 + i and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j + 3*j + 2*j**3 + 2*j**2 + 19 - 20 to i*j**3 + s*j**2 + t*j + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpe when three letters picked without replacement from ccecpeeceep.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6143668*o**2 + o - 23369934.\nAnswer: -12287336*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 13, a: 1}. What is prob of picking 1 t and 3 r?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -8604.\nAnswer: 5\/8604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 454*x**3 + 26874*x**2 + 125874*x + 147852.\nAnswer: 2*(x + 2)*(x + 3)*(x + 111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 21 = 11*x. Solve 25 = -4*v - 3*d, 3*d = -x*v + d - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12355)\/(-245) - (36\/21)\/4. Calculate the greatest common factor of v and 16650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 8, 3, 750, 1 in increasing order.\nAnswer: -2, 1, 3, 8, 750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + d = 0, 4*d - 10 = -4*j + 6. Which is the closest to -1? (a) j (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27496.\nAnswer: 2, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*x - 8 = 0, -10 = -d + 3*x - 3. Let n(r) = -r - 3. What is the units digit of n(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d + 66. Let i(o) = -o + 1. Let a(s) = -4*i(s) + l(s). Is a(0) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 2*a - 75 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 1\/2, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-7 - (-5 - -7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4 - 28. Solve -d + 3*d + 0*d + 12*d**3 + n*d**2 + 8*d**4 + 0*d**3 + 2*d**5 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**5 - 12*r**4 - 4*r**3 + 12*r**2 + 8*r = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/183340*476849\/44*4. Let c = y - -3\/9167. Find the common denominator of -63\/40 and c.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12261582?\nAnswer: 2, 3, 727, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 39 = 4*w, 4*p - p + 15 = 0. Suppose -j = -145 - w. What is the remainder when j is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 48*z - 21 = -21*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2752.879 - -2748. Let w = -130.021 + 130. Let s = w + t. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**7\/385 + 3*j**5\/110 - j**4\/22 - 24*j**2. Factor c(y).\nAnswer: -6*y*(y - 1)**2*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001011000000101010 (base 2) to base 16.\nAnswer: 1cb02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111010011 (base 2) in base 7?\nAnswer: 11553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561903306 a multiple of 4768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**4 - 11\/6*v**3 + 0*v**2 - 16*v + 0. Find the second derivative of i(g) wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3289, -12988, -29163, -51814?\n\"Answer: -3238*p**2 + 15*p - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 3*j + 17. Let a be 3 + (-35)\/5 - 3. Let g be f(a). Calculate the common denominator of -65\/16 and (-6)\/g + 859\/30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-28))\/(1*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1687, -3016, -4021, -4708, -5083, -5152, -4921?\n\"Answer: -c**3 + 168*c**2 - 1826*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w**4 + 9432*w**3 - 2710*w**2 - 9432*w + 2696 = 0. Calculate w.\nAnswer: -674, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 4464 - 4464. Let s(m) = 2 + 26*m**2 - 13*m**2 - 2. Calculate j(s(y)).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 9:17 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -39. Let r(g) be the second derivative of 3\/10*g**5 + 1\/3*g**3 + v + 0*g**2 + 3*g - 1\/15*g**6 - 1\/2*g**4. Solve r(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (2\/3)\/((-2)\/6). Let a(f) = f**2 - 4*f + 1. Let w be a(j). Let n(m) = 6*m**3 + m**2 + m - 1. Calculate n(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 15. Let y be n(-5). Let i(x) = -3*x**2 - 6*x - 5. Let q(s) = 2*s**2 + 5*s + 4. Give y*q(b) - 4*i(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5808408211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.8 and -39400.\nAnswer: -149720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/((-6)\/16). Suppose 0 = 7*v - 31*v + 114086448. Suppose -9200002 = -u*f - 2*m, 3*f - v - 2146395 = 3*m. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 30*g**3 + 0*g**2 + 9*g**3.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2)\/3)\/(26\/(-6)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1334 - 1336 + 4061 - 1395 - z**2.\nAnswer: -z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5494*g + 10*g**2 - 14*g**2 - 4 - g**4 + 5497*g to the form b*g**3 + t*g + k*g**2 + i*g**4 + x and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05582708 rounded to four dps?\nAnswer: 0.0558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -541583, -1082980, -1624377?\n\"Answer: -541397*q - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*x = 15, 9*l - 3*x = 12*l - 15. Let g(w) = w**3 - 7*w**2 + 5. Calculate g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*k = -246*k + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:03 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 3*w + 14. Let q be c(6). What is the greatest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/17 and -61\/104.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 213317837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3280 times 108\nAnswer: 354240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 699360011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17966060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/2*6\/8. Let k be 8 - (4\/10 - (-72)\/20). Suppose -k*f + w*f = -9. Is 10 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 7, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 19*n - 76. Let m be p(8). Suppose 72*j + 144 = m*j. What is the greatest common divisor of 36 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 190.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -22 (b) -4 (c) 2\/5 (d) 12\/91\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 10 = -3*g. Let d(b) = -2*b + 3. Calculate d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*-3*sqrt(1088)*1 + 3 + (sqrt(1088) - (-4 + sqrt(1088) + -1)))**2.\nAnswer: -864*sqrt(17) + 39249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 25. Let t be c(-13). Let n be (-87 + 2 - 2\/t)*-1. Let x = 152 - n. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5210 times -82?\nAnswer: 427220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25244 or -26407?\nAnswer: -26407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -565 + 672. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18251435.82 to the nearest one hundred thousand.\nAnswer: -18300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 3*t + 781 - 862, -5*v - 133 = -28*t for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 5, 0, -5, -10, -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -181. Suppose 0 = -3*s + 9, -3*a - 2*s - 23 = j. What is the tens digit of 25\/(-2)*a\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.009 + -5.191. Let z = 5.5 + o. Let y = -3 + 4. Which is the third biggest value? (a) z (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68313 = -4*a + 74763. Let n = a + -22880. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/4 - 17*h**2. Let l(a) be the first derivative of a**3 + 4. Give l(y(s)).\nAnswer: 675*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let x(b) = b**2 + 7*b + 9. Let r be x(-6). What is the second derivative of c*o + 5*o**3 - r*o**3 + 0*o wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 24*t = 32. Suppose -2*h - t = x + 3*h, -5*x - 3*h = -8. Solve 2*o = 3*n - 1, x + 4 = -5*o + 2*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p**3 + 2*p**2 + 2*p - 2. Let f be y(-2). Suppose 16 = 2*i + 2*h, -2*h - 3*h = -5*i + f. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 7. Let x be c(3). What is the highest common divisor of x and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.154 - -0.654. Which is the nearest to -1\/2? (a) z (b) -0.3 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l + 2*l**3 + 7*l**2 + 3*l + 0 - l**3 + 4. Let z be w(-5). Solve -2*g = -2*x + 4, 3*x + 4*g = 2*g - z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113884*-0.268.\nAnswer: 30520.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-192)\/180)\/(337\/10) and -52\/21.\nAnswer: 7077","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Suppose -4*i + 778 + 186 = -4*y, -6*i + 2*y = -1450. Suppose -x - 2*j + i = 3*x, 2*x - w*j = 151. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 i when three letters picked without replacement from {k: 3, i: 5, y: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1072)\/(-1608))\/(1\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 10 = -5*b. Suppose 0 = -k + b + 2. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19434?\nAnswer: 2, 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r. Suppose -5*x + x = v + 17, -4*v = 20. Let n be x + 4 - -1*1. Let z(m) = -6*m + 3*m + 4*m - n*m. Determine z(g(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 3*g**4\/10 + 14*g**3\/15 + g**2 + 2*g\/5 - 3. Factor h(y).\nAnswer: 2*(y + 1)**2*(3*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -79*p - 11 + 78*p - 24*p**3 + 25*p**3. Give x(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28325216, -28325213, -28325208, -28325201?\nAnswer: -28325192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 77203 = 4*i, 0 = 2*t - 36 + 46. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0 + 0)*(j + j**2 - j) + 0*j**3 + j**3 - 4*j**3 + 2*j - 2*j + j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*l**3 + 392*l**3 - 136*l**3 - 140*l**3.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-9))\/(-5)*-210. What is the second derivative of -67*i + l - 147 + 78 + 14*i + 38*i**2 wrt i?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143 + 143. What is the nearest to o in -3, -9\/26, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 695*m**3 + 36000*m**2 + 824320*m + 7045120.\nAnswer: 5*(m + 32)**3*(m + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -26*b - 21. Let l(p) = 9*p + 7. What is 11*l(i) + 4*v(i)?\nAnswer: -5*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 346\/5 + -69. Let v = -1\/20 - y. Let g = -944\/231 + 46\/11. Which is the second smallest value? (a) v (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/7))**(-31)*(j*j**(-4))**(-2\/9) assuming j is positive.\nAnswer: j**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, a: 3, f: 2, i: 4}. What is prob of sequence fia?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*f - 40 = -0*d, -2*f = -d. Let y be (0 + d\/(-4))*6. Let j = -5 + y. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7010*y - 58924 - 4707*y + 5708*y + 58924 in the form u*y + s and give u.\nAnswer: 8011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32003223 by -24983.\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 881.0646 months?\nAnswer: 0.07342205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(0 + 24\/(-9)). Suppose 2*p = -3*o - 7, -3*o - 5*p - 5 = m. Put o, -3, -5, 3 in descending order.\nAnswer: 3, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 10. Let h = s - -19. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29 + 370?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/2 - 4*k**3\/3 - k**2\/2 + k - 2. Let r be l(3). Let j be 14\/((1\/8)\/1). What is the greatest common factor of j and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - -3) - (-90 - -88).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from oopoopooo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/4, 0, -4, 184 in descending order.\nAnswer: 184, 0.5, 0, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248210460 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 2*t)*(5*t**4 + t**4 - t**4) + (-2*t**3 + 0*t**3 + 3*t**3)*(17*t**2 - 14*t**2 - 10*t**2 + 1).\nAnswer: 3*t**5 + t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 4, 0, 126 in ascending order.\nAnswer: 0, 3, 4, 17, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63132.\nAnswer: 2, 3, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -44844.2 + 54027\nAnswer: 9182.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(8\/3)*s)\/s)\/(s**38*s)*s\/(s*s*s**(-34)*s)*s**(4\/13)\/s)**(-2\/13) assuming s is positive.\nAnswer: s**(392\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24\/5 - -27\/5. Let n = -0.5 - -0.3. Which is the closest to 0? (a) i (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 22. Solve 7*b = v*h + 4*b - 15, 2*b + 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z + 41*z - 78*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1287 - (-4 - 1 - -4). Suppose 2*m - m - 339 = -3*x, -4*m + q = -5*x. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9267 - 9270. What is the nearest to g in -0.5, -26, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 34*d**3 - 842*d**2 - 194*d + 78. Let g be q(25). Suppose -h + 12 = 3*h. What is the greatest common factor of g and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1296)\/(-81)*(6\/3)\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - f - 20, -5*q - 30 = f - 0*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.045 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u + 3591*u**2 - 17 - 31*u**3 - 3591*u**2 as m*u**2 + i*u + f*u**3 + a and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**5 - 1805*a**2 + 109924*a.\nAnswer: 120*a**3 - 3610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 76*q**2 + 16*q - 13. Is 46 a factor of h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12569*o**2*p + o*p**3 + 36*o - 466*p**3 - 1385*p - 3 wrt o.\nAnswer: -25138*o*p + p**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(171) + sqrt(19) - (0 + sqrt(684)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -506*q**2 - 15 + 10 + 5 + 197*q**2 in the form m*q**2 + w + z*q and give m.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvvcvvccbvcl. What is prob of picking 2 v and 1 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-400) + (-3)\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - sqrt(315)\/sqrt(7) - sqrt(45))\/sqrt(9) - (sqrt(5) - (sqrt(210)\/sqrt(6))\/sqrt(7))**2.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/7 - -719 - 2\/2. Let s = y - 174. What are the prime factors of s?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*s + 5*f - 8, 0 = 2*f. Suppose -2*n + 10 = 3*k, k = 2*n + 5 - 23. Calculate the remainder when s is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*i + 36611 = 167*i + 331*i + 185*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rocoii. What is prob of picking 1 o and 1 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12277.\nAnswer: 12277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = 10*r - 1059. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 997299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1.7 (c) 10\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 10*s**5 + (1 + 1 - 1)*(0*s**5 - 3*s**5 + 0*s**5).\nAnswer: -13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-153)\/(-12))\/(12*43\/(-688)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -932*u**5\/5 - 2195*u**2 + 5491. Find the second derivative of c(q) wrt q.\nAnswer: -11184*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) 2\/5 (d) 4\/3 (e) 2927\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 4*r + 4. Let q(h) be the second derivative of h**5\/20 - h**3\/6 + h**2\/2 - 6*h. Calculate g(v) - 4*q(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (7 + (-7 - (2 - 5))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-7 + -3 - 4 - -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 17 = 2*x, -7105500*x = -7105501*x - 5*s - 8 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 4. Give n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6) + -4 + (3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9445 divided by 23000.\nAnswer: 1889\/4600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/168*(-144)\/80*(-10)\/(-16)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.03 - 0.03. Let s = w + -15.961. Round s to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9350465 to the nearest integer?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15993 or -73?\nAnswer: 15993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-109)\/(5886\/270) - 1) + (-2)\/7*-44?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + z)*(0 - 10 - 2).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-15))\/(5\/25). Suppose -t = t. Suppose -q*y + t*h = -4*h - 740, -5*y + 893 = 3*h. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-287))\/((-6)\/15*25\/15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47681*1.7.\nAnswer: -81057.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -79*u + 7. Let n(d) = 118*d - 10. Suppose c + 24 = 3*q, -4*q + 0*c = 3*c - 19. Let m(h) = q*l(h) + 5*n(h). What is the tens digit of m(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 594360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-13 + 10 + -5 + -9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.2, -0.1, 68.\nAnswer: -0.1, 0.2, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5164 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18732881 and 1397?\nAnswer: 206061691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(132) + -5*(sqrt(132) - 2*sqrt(132)))\/(sqrt(12) + 2*sqrt(300)) - -1*(0 + 4*sqrt(275) + sqrt(275))**2).\nAnswer: 6*sqrt(11)\/11 + 6871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11856 = 3*j, -3*w + 540*j - 537*j + 35544 = 0. What are the prime factors of w?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 5, 0.02, -0.7, 282.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - c**4 + (c + 3 - 3)*(6*c**3 + 0*c**3 - 3*c**3) + 9*c**4 - 5*c**4 - 5*c**4 to d*c**4 + h + f*c**3 + n*c**2 + y*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/13))**(1\/21)\/(f**(-31)*f**(-4\/11)*f) assuming f is positive.\nAnswer: f**(91160\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58832.1 + -56789.868. Let p = -2034 + t. Let c = -0.032 + p. What is c rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10938097 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(204\/42))\/((-2)\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - ((-192)\/18)\/2)*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -2\/5 (c) -3\/44 (d) 3\/4 (e) 0.1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -498*a**2. Let x(n) = n**2. Calculate b(x(d)).\nAnswer: -498*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -66480?\nAnswer: -19944","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 3*c - 6 = 12*j, 2*c - 5 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1861689 + 0.75\nAnswer: -1861688.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-117)\/(-27) + -14)*72. Which is smaller: -1\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -405, 3, -1, 14 in decreasing order.\nAnswer: 103, 14, 3, -1, -405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*w - 12 = 0, 17*w + 32 = -p + 9*w. Factor p*d**2 - 3\/4*d**3 + 9\/4*d + 3\/2.\nAnswer: -3*(d - 2)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318 divided by 6\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n. Let q(g) = 161059268*g**2. Give y(q(a)).\nAnswer: -805296340*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -19*h**5\/120 + 35*h**4\/24 - h**3\/3 - 20*h**2. Let f(u) be the first derivative of o(u). What is the hundreds digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708 divided by -59.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 1500 = -144*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 12, -10*a + 8*a = 5*f - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.404\nAnswer: 0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*p - p**2 + 2*p - 28*p.\nAnswer: -p**2 - 192*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611 divided by -3?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3ab962 - 35?\nAnswer: 3ab929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 5*j - 6, -2*n - 2*j + 389 - 373 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2112 - -33?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2970)\/(-130) - 23 - 1960\/104) + (-24)\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 16 = 0, 26*l = 31*l - 2*n - 7. Suppose 0*i = -l*i - 4*g + 178, 0 = i + 5*g - 41. Calculate the greatest common factor of i and 759.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 15. Let v be (1 - -1) + 2 + i. Solve 0 = 5*k + 2*r - 12, 2*k - 2*r - v = 13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v + 17*v - 1 + 0)*(-1 - 4 - 1).\nAnswer: -6*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(-o - 3*o + 3*o) - 1 + o + 5*o - 9*o as m + l*o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41959470?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 948456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c0 - 19d?\nAnswer: -26d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.29, -1\/3, 1\/8 in descending order.\nAnswer: 0.29, 1\/8, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 483\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 8*q**2 + 1. Let z be n(-8). Suppose 1 = -3*m + 7. Put -3, m, z in descending order.\nAnswer: m, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2673) - sqrt(33))\/sqrt(3).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 6*y - 7. Let k be c(-3). Sort k, 5, -20 in increasing order.\nAnswer: -20, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 116057994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k + 5*j + 50 = 0, 56 = 5*k + j. Let s(b) = -b**3 - 2*b**2 - b - 1. What is the least common multiple of k and s(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyik when four letters picked without replacement from kknykknkkiuyyk.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:43 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 16, 4, 3, 0 in decreasing order.\nAnswer: 16, 4, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 6)*(9 - 32*m - 9) as p*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 417593, 417600, 417607?\n\"Answer: 7*y + 417586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**6\/15 + 2*k**5\/5 - k**4 + 4*k**3\/3 - k**2 + 14*k. What is z in o(z) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44261 - 4?\nAnswer: -44265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*d + 14*d + 291 = 5*d. Let i(s) = 7*s**3 + 2*s**2 + s + 4. Let m(l) = -6*l**3 - l**2 - l - 4. Let v(w) = -5*i(w) - 6*m(w). Give v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**4\/10 + 4*u**3\/5 - 3*u**2\/5 - 4*u + 1393. Determine j so that y(j) = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -70*u + 86*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(3\/2)*(m*m*m*m\/(m*m\/m**(-10)*m))\/m)**(-4\/13))**(2\/9) assuming m is positive.\nAnswer: m**(76\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36722614 (base 8) to base 9\nAnswer: -16220575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -17, -27, -37, -47?\n\"Answer: -10*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 7*j + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 833*i**2 + 10*i + 98. Is u(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 635 + 118. Let m = -335 + p. Suppose -m + 46 = 4*l. What is l rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 2*u + 2. Let n(f) = 4*f**2 - 5*f - 5. Let a(g) = 10*m(g) + 4*n(g). Let y(p) = -2 + 272*p + 2 - 271*p. Give y(a(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 321001010013?\nAnswer: -321001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/h**(-28\/3)))\/h**(3\/8)*(h\/((h*((h*h**(-2))\/h)\/h)\/h))\/h**(-45))**(3\/10) assuming h is positive.\nAnswer: h**(943\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1 + 4)**2 + ((sqrt(209) - ((-4*-1*sqrt(209) - sqrt(209)) + sqrt(209) + sqrt(209)) - sqrt(209)) + sqrt(209))\/sqrt(11) + 3.\nAnswer: 16*sqrt(19) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 4*p + 29. Let r be g(-7). Suppose 0 = 4*k - r, 5*k + 38 = -2*u - 20. Let i = 37 + u. Let y(c) = -c**3 + 4*c**2 - 2*c - 2. Determine y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - 4*q, 0*v - 5*q = v - 15. Factor -1\/3*l**3 + v + 2\/3*l + 1\/3*l**2.\nAnswer: -l*(l - 2)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(143) + -3*(sqrt(143) + sqrt(143)*1)))\/((sqrt(539) + sqrt(539)*-2)*-5)*2.\nAnswer: 24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 53 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166.20445 - -123.\nAnswer: -43.20445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3 + 3*j - j + 3. Let h(l) = 34 - l - 34. What is h(k(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 + 5*c. Let l be (-3 + 8\/3)\/(2\/30). Let u = l - -6. Let j(r) = 0*r + r + 2*r**2 - r**2. Determine u*s(t) - 5*j(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {c: 5, y: 2, p: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5*s - 545 = 0, -3*g - 26*s + 1947 = -44*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*-1*(-2)\/(-8). Solve -l - t = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o + 0*o)*(2*o**3 + 2*o**3 - 2*o**3) - 3*o**2 + 2*o**4 + 3*o**2 + 2 - 2 - 2*o**4 + 414*o**4 + 261 - 261.\nAnswer: 418*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61652862059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -360? (a) -1.07 (b) 0.2 (c) -2 (d) 0 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 9:45 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -0.66, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 3*f + 3*f + 100131. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 + 288*a**2 + 10650*a + 20164 = 0. What is a?\nAnswer: -71, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhr when three letters picked without replacement from {h: 3, o: 3, w: 1, z: 5, e: 1, r: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4758\/21 - 4) + 0. Let v = -223 + m. Put v, -1, -0.3 in descending order.\nAnswer: -0.3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8 - -18) + -8)*-248. Let a = -491 - l. Solve -k - 15 = -a*b, 3*k + 5 = 2*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 395138573*j*t**2 - 22029806*t**2 - 2*t with respect to j.\nAnswer: 395138573*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9967615 + -4?\nAnswer: -9967619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 96. Let w be 30\/9 - (d\/(-12) + 1). Solve 6 = 2*m, m - 11 = a - w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.208 to one decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27410029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 4*w - 3*w. Suppose -3*v - 21 = -p, p - 4*p + 50 = 4*v. What is the remainder when w\/4*(-24)\/9 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 - 8 = 0. Let o = -1 - -3. Let k(v) = -5687*v + 90995. Let x be k(16). Solve m - c*b - 9 = -o*b, 0 = -x*m + 2*b + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51113 - 0?\nAnswer: -51113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 29*p**2 + 7*p - 23. Let w(f) = -f**3 - 14*f**2 + 4*f - 11. Let l be (-80)\/6 + 1\/3. Let o(x) = l*w(x) + 6*m(x). Does 14 divide o(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 30?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2 + 780*r + 1442. Calculate q(0).\nAnswer: 1442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r*r**(2\/15)*(r**(-2)\/r)**47 assuming r is positive.\nAnswer: r**(-2203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = v, -14 = -3*v - v + 5*h. Let r be 1\/((v\/3)\/(-2896)). Let a = 3009 + r. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1030 = -6*r. Let o = -106 + r. Let u(h) = h**2 - 2*h + 2. Let n be u(4). Calculate the greatest common divisor of o and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 10*n + 5. Let q be d(-3). Suppose 4*c - 10 = -2*z - 0, -q*z = 3*c - 8. Solve 9 = 2*i - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6264 and 1296?\nAnswer: 37584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**3*d)\/d)\/d*d**(5\/8))\/(d*(d\/d**33)\/d*d**(-8\/3)) assuming d is positive.\nAnswer: d**(775\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-207 - 9*v + 207 + (-1 + 1 + 1)*(-4*v - v + 2*v))*(-7 + 0 + 2) + (4 - 4 + 3)*(7*v + 7*v - 8*v) to o + g*v and give g.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:52 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.044 (b) 1143 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (24\/(-20))\/(4\/(-480))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 7008.488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 16 + -26 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 2\/5 (b) 9\/470 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3191 divided by -384\nAnswer: -3191\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/7 - 494*x**2\/7 + 9038*x\/7 + 1362 = 0.\nAnswer: -1, 21, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60, 233, 630, 1359, 2528, 4245?\n\"Answer: 18*f**3 + 4*f**2 + 35*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 8*p**2 - 5*p + 7. Let c be m(-7). Let k = 14 + c. Suppose k + 18 = 5*b. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1394\/207 + 526\/69. Let -1\/9*x**4 - 4\/9*x**3 - o + 10\/9*x + 1\/3*x**2 = 0. What is x?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158769392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -688, 0.5, -0.07, -150.\nAnswer: -688, -150, -0.07, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 4 - 8*j + 10)*(-3*j**2 + 5*j**2 - 3*j**2) to i + k*j**2 + a*j + t*j**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4698*l = 4668*l + 1503270. List the prime factors of l.\nAnswer: 3, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034788.\nAnswer: 2, 258697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9474241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12521893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:07 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.86836067 and 4.\nAnswer: 4.86836067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-9 - (-1 + 5)*-2). Which is the closest to -0.1? (a) 0.3 (b) -3 (c) t (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(363) + 0)*2*4 + -4 + 5*sqrt(363)*2 + -5)**2*6.\nAnswer: -68904*sqrt(3) + 7327278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0837792 rounded to 4 dps?\nAnswer: -0.0838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*c - 3936 = 322*c. Let v(n) = 2*n**2 + 11*n - 31. Let i be v(-13). What is the greatest common divisor of c and i?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 3}. Give prob of sequence bb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 + 86497\nAnswer: 86496.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/184 or -1?\nAnswer: 1\/184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let h = 6 + 0. Let p = h + -5.9. Which is the closest to p? (a) 0.3 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4333157 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 5*r - 27 = 3*s + 218, -3*r = -3 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (2 - -12 - (-9 - -14) - -4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 8 = s, 8*s + 1 = 5*k + 6*s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/92 and -37\/21068.\nAnswer: 21068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i + 3 = 0, -3*a - 4*i = -7. Let n(c) = 5*c**2 - 2. Suppose 9 + 4 = -5*p + 2*s, 4*s + 4 = 0. Let o(j) = j**2 - 1. Give a*n(h) + p*o(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g + 3. Let v be c(8). Sort -9, 4, v in descending order.\nAnswer: 4, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1034.9457 + 1035. Let c = -214412.8457 - -214442. Let d = f - c. Round d to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49\/5 - 29\/3. Let h = -0.1 - -4.1. Let t = -4.09 + 0.09. Which is the third biggest value? (a) t (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 24 = -2*i. Let g = i - -127. Calculate the remainder when g is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*q - 9153 - 6921 = 0 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (0 - 0 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1509 - 373.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 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 b be (3\/4)\/((-4)\/(-16)). Suppose 3*m - 9 = 4*l, -2*l = -6*l - 4*m + 12. Let k = l + 2. Solve -k*w + b*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**5\/2 - 4545*u**4\/2 + 1023833*u**3\/2 + 2061297*u**2\/2 + 516460*u = 0.\nAnswer: -4760, -1, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3)\/(12\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 1 + 5 + 5. Let r(m) = m**2 + 398*m - 399*m + b*m**2 - 5*m**2 - 1. Let s(p) = p**2 - 4*p - 1. Determine -r(k) + s(k).\nAnswer: 2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i - 3*r - 80, 3*r = -3*i + 39. Let l(o) = i - 41 + 27*o - 2*o**2 + 16 - 35*o. What is l(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28548191, 28548195, 28548201, 28548209, 28548219, 28548231, 28548245?\n\"Answer: q**2 + q + 28548189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/2 + 4597*x**4\/2 - 2638098*x**3 - 7944200*x**2 + 10580000*x = 0.\nAnswer: -4, 0, 1, 2300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v + 654 = 14*v. Does 50 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + 2 + -8 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2675, 3, 27, -4, -3, -1, 4.\nAnswer: -2675, -4, -3, -1, 3, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 117?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 85dc - 11?\nAnswer: 85cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6956 + -50. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2\/7 (c) 756929\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4450000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3410 (base 6) to base 3\nAnswer: 1002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4 (b) 7.4 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1837675403?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -83*x - 323. Let k be (-162)\/12 + (-2)\/(-4). Calculate the remainder when k\/(0 - 4\/4) is divided by m(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16c8 (base 13) to base 14.\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33133434 - 55?\nAnswer: 33133335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3276 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574578 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195120 and 780?\nAnswer: 2536560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7 + -5 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97611.12 milligrams in nanograms?\nAnswer: 97611120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 264\/121 + 2\/(-11). Sort -1\/13, -0.4, x, 3.\nAnswer: -0.4, -1\/13, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61906779 divided by -33.\nAnswer: -1875963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -5*y + 125. Find the common denominator of ((-286)\/36)\/11*2 and -1*(y\/(-3) + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c - 4. Let h(k) be the third derivative of k**3\/6 - 26*k**2. Let g(p) = p - 3. Calculate c*g(a) - h(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a. Let k(v) = a*v - v + 4*v - v. Let y(l) = 5*l - 1 + 0 + 1. Determine y(k(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-3)*-3)\/1. Suppose -o*r = u - 14, -4*u + 0*r = -3*r - 10. Solve -h - 5 = c - u*h, -5*c - 13 = -3*h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -7. Let o = w - 10. Is o <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 480?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-12)*(-12)\/10. Let q be (i - 2)\/(0 + 1). Suppose -3*z + 23 = -g, q*z - 2*g - 6 = -z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1765*z + 16 - 786*z - 975*z.\nAnswer: 4*z + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1 - -3 - 3). Which is smaller: h or 2\/77?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*f + 92. Suppose -f = -4*v - c, v - 4*c = 8 + 24. Let z = v + 49. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l. Let x(v) = 2*v**2 - 2*v + 1. Let o(c) = 3*d(c) - 2*x(c). Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5241574 micrograms?\nAnswer: 524.1574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2003 - 1995 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + h**2 - 3*h + 59. Let f be b(0). Suppose -52*t - 28 = -f*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/236 - 481\/2124. Let h be (1 - -1)\/(4*1\/158). Let k = h + -77. What is the biggest value in -1, z, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(637) + 1*sqrt(637))*3)**2 + -4.\nAnswer: 22928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 11:54 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-258)\/4*(-4)\/6. Let q(x) = -x**2 + 6*x - 4. Let z be q(4). Suppose 5*l + 5*p = 11 + 24, -m = -z*l - p. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*c**4 + 13*c**3 + 10005*c + 67415124 wrt c.\nAnswer: -616*c**3 + 39*c**2 + 10005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*k + 16 + 10, -2*n + 4*k - 12 = 0. Suppose 4*m = -n + 18. Solve m*a = 3 + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 1.7988\nAnswer: 1.97868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 2*p + 2*p + (-31*p**4 + 2*p**3 + 21*p**4 + 18*p**4)*(3*p - 3*p - p).\nAnswer: -6*p**5 - 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-1\/67)\/(c**(1\/2))**(-16\/5) assuming c is positive.\nAnswer: c**(531\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(200) - sqrt(200))**2 - (3 + sqrt(72)).\nAnswer: -6*sqrt(2) + 3197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1721*d - 774. Let m(u) = -574*u + 257. Let j(h) = -17*m(h) - 6*s(h). Differentiate j(k) with respect to k.\nAnswer: -568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - 11) + (19 - 2\/(-1)). Let t be ((-2)\/4)\/(-3 - a\/(-6)). Let h be 1\/(1 + t + 4\/8). Calculate the highest common divisor of h and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3359 * -0.3\nAnswer: -1007.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**2. Let z(v) be the first derivative of v**5\/30 - 37*v**3 - 196. Let n(t) be the third derivative of z(t). Give n(r(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 9:18 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and 114?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -3 + 4 - 5. Let z = -22 + 11. Let i = 19 + z. Calculate the highest common divisor of i and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -72. Suppose 2 = -n*c + 10. Let b be 0\/2 - c - (-5 + -2). What is the highest common divisor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, m: 1, e: 1, t: 1}. Give prob of sequence wa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:19 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439 plus -10?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -20995.1 and -48.\nAnswer: -21043.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -92, -131, -154, -155, -128, -67, 34?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 4*i**2 + 2. Suppose -6*b - 21 = -3. Give d(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Let k = -11.8 - -11.4. Which is the nearest to w? (a) -8 (b) k (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7645 - 7645 + 240*z to the form l + s*z and give s.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(192) - (2 + 4*sqrt(192)) - (-5 + -1 + sqrt(192))) + 2).\nAnswer: -384*sqrt(3) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*j - 1820 = -248*j. Calculate the highest common divisor of j and 1855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 2. Let s be t(2). Suppose 615 = 5*x - 8*x. Does 15 divide (x\/s)\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 3*f**2 + 7*f - 6. Suppose -4*b + 38 = 6. Let p be 13\/2 + (-4)\/b. Let y = p + -2. Give o(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, z: 1, k: 12, a: 1, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 35. Let w(q) be the third derivative of 0 + 1\/6*q**4 + 2\/3*q**3 + 0*q + 2*q**n. Find the first derivative of w(y) wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*w - 263 = -4*n, n = w + 66. Calculate the greatest common divisor of 469 and n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 26619361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-90)\/(-12)*8\/30 and -3*(14\/(-3) - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 481, -3, 12225, -0.2 in decreasing order.\nAnswer: 12225, 481, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*d = -57, 0*o - 5*d = o - 13. Suppose 2*g - o = -0*g. What is the highest common divisor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -3\/4 (c) -1 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 21. Let u(f) be the third derivative of 1\/240*f**6 + b + 0*f + 0*f**3 + 1\/120*f**5 + 0*f**4 - f**2. Solve u(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 11. Suppose 301 = 28*h - 26*h + g, -g + 745 = 5*h. Calculate the remainder when h is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -59*r - 24. Let c be (3\/(-2) + 2)\/(1\/(-18)). Let n be a(c). Let k = 844 - n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3074750, -3074739, -3074730, -3074723?\n\"Answer: -c**2 + 14*c - 3074763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times -79.04?\nAnswer: 790.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-72)\/(-42))\/(5\/7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 2. What is the units digit of (-11)\/(-2) + f\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*t**3 - 4 + 96*t**3 - 5 with respect to t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008913.4 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*w**4 + 2*w**4 + 152*w**2 - 80*w**4 wrt w?\nAnswer: -2328*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*c*y + 58405*c - 12*y**4 + y**3 - 551*y wrt y?\nAnswer: -3*c - 48*y**3 + 3*y**2 - 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 21 = -8*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/30 + 19*o**4\/9 - 8*o**3 + 2*o + 17. Solve b(j) = 0 for j.\nAnswer: 0, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 - 5)) + -5 + 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132416364 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -147991\nAnswer: 21\/147991","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137*n**3*s**2 + 2*n**3*s + 3*n**2*o*s**2 - 112*n**2*o - 42*n*o*s**2 - o*s + 69*s wrt s.\nAnswer: 274*n**3 + 6*n**2*o - 84*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 3. Let v be (-4)\/(-10) - (-18)\/r. Which is smaller: 5\/2 or v?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 2*v**2 + v - 1. Let z be ((-2)\/(-5))\/((-1)\/(-5)). Let u = z - 0. What is the remainder when 2 is divided by b(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 277, 282, 289, 298, 309, 322, 337?\n\"Answer: w**2 + 2*w + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, g: 9}. What is prob of sequence ggg?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5, -0.205905, -2\/3, -0.4, -1?\nAnswer: -0.205905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 71*l**6\/10 - l**4\/12 - 1099*l**2\/2 + 3476*l. What is the first derivative of y(a) wrt a?\nAnswer: 852*a**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/405012 and 2\/111.\nAnswer: 14985444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-105)*(-13202)\/(-3772)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14320, 14313, 14306, 14299?\n\"Answer: -7*c + 14327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 247*a + 4389. Give o(-102).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25774539 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**2 + 9078054*k - 20602766106729 = 0.\nAnswer: 4539027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, c: 1, y: 1, t: 4}. Give prob of picking 2 t.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000487089 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3)\/((g**0*g)\/g*g))**(-10)\/((g\/(g\/(g\/(g*g**(-4\/7)*g)))*g**(2\/11))\/((g*g**1)\/g)**(2\/13)) assuming g is positive.\nAnswer: g**(21223\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3946 rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 + 3*z**5 + 0*z**5 + (3*z - 3*z + 2*z**2)*(3*z**3 - 3*z**3 + 2*z**3) + z**5 + 3*z - 3*z + 161*z**5 + 41*z**5 - 49*z**5.\nAnswer: 161*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1571 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(78)\/(sqrt(24)\/sqrt(4)))**2 - sqrt(13)).\nAnswer: -sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.135\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 635 + -311. Suppose 0*q - b = -4*q. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/11, -0.197, 1\/5, -8\/23 in increasing order.\nAnswer: -8\/23, -0.197, 1\/5, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 4.86591?\nAnswer: -2.432955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72333 and 70281.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.769 - -0.723. Let x be -2 + 84\/(-20) - -1 - -5. Put r, 0.4, 0.1, x in decreasing order.\nAnswer: 0.4, 0.1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - b**2)*(-2 + 5 - 1) + (b + b + b)*(-7*b + 0*b + 2*b).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)*i)**(-1\/53)\/((i\/((i\/(i*i**(3\/4)))\/i))\/(i**(-9\/5)*i*i*i*i)))**(-39\/5) assuming i is positive.\nAnswer: i**(23829\/5300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005683695942 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 579 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41008032 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 26*y**2 + 34*y - 226. Let x be h(25). Sort 4, 3, x, 49 in decreasing order.\nAnswer: 49, 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 626 - -431. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0*n + n - 2*n. Let j(c) = -c - 11. Let t be j(-14). Let a(v) = v. Let f(i) = t*r(i) + 2*a(i). What is f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*h**3 - 3 + 51 - 11.\nAnswer: -180*h**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -231\/4 or -58?\nAnswer: -231\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43435, 176938, 399427, 710890, 1111315, 1600690?\nAnswer: 2179003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 1, s: 1, a: 2, y: 1, c: 3}. Give prob of picking 1 y and 1 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*n**2*u**5 - 4*n**2*u**2 - 14*n*u**5 - 39*n*u**2 wrt u.\nAnswer: 1320*n**2*u**2 - 840*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 68901.44 centimeters?\nAnswer: 689014400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 10*o**2 - 8*o. Suppose -2*r - 29 = 4*n - 3, r = 5*n + 1. What is s(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c, 0 = -g - 0*g + 3*c - 11. Let v(p) = 25*p + 4649. Let i be v(-186). Sort -50, g, i in ascending order.\nAnswer: -50, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 23 - 6 = -3. Determine t, given that s*t**3 - 16*t - 16\/3 + 4\/3*t**2 = 0.\nAnswer: -2, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 11*r**2 - 7.\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380*v**5 - 2706*v wrt v?\nAnswer: 7600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 58. Suppose 6*w + 2*t - 110 = 3*w, 0 = w + 2*t - z. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6888*c + 1985*c**2 + 6299*c**2 + 4554*c**2 - 2547*c**2 + 508*c**2 wrt c?\nAnswer: 21598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13082 and 1266.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*h**2 - 6*c**3*h - 5*c**3 - 418495*c**2*h**4 - 2*c**2*h + 5945*h wrt h.\nAnswer: -4*c**3 - 5021940*c**2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**4*y - 2*h**4 - h**3*y - 2*h**2*y - 64*h**2 wrt h.\nAnswer: -96*h*y - 48*h - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -215?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 0 + -8 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405.9043 decades to centuries.\nAnswer: 40.59043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 8*v + 7. Let l be b(6). Let h be (4 + l)*8\/12. Sort 10, -5, h in increasing order.\nAnswer: -5, h, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a - 2. Suppose -2*i = -3*l - 7*i - 14, -l - 3*i - 10 = 0. Let h = a + l. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -403\/7. Let o = 0.9 + -0.8. Which is the second smallest value? (a) 1\/3 (b) o (c) p (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38\/7 in 2\/3, 6, 0.114?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 638862675 to the nearest integer?\nAnswer: 25276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let q = -4 + u. Let o = -1.4 - -1.8. Put q, -4\/5, o in increasing order.\nAnswer: q, -4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tby. What is prob of picking 2 b and 1 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150951065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/8 - ((-49)\/(-14) - 6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac3 (base 16) to base 11.\nAnswer: -5169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from qqiefi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14119 + 24434. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/9 - -5\/9. Let o = 0.94 + 0.06. Let s = 0 - o. What is the nearest to s in b, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/5*-5*4. Suppose -2*t - 6 - 14 = 5*y, k = -4*y. Let z(g) = 2400*g**3 - g**2 - 5*g. Let f be z(t). Round f to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-9)*(-174)\/2204*57*52\/(-25)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2121080 divided by -16316\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 476\/3. Let u(v) = v**3 + 8*v**2 + 8*v + 7. Let y be u(-7). Let z(d) = -9*d + 59. Let g be z(7). What is the third biggest value in g, y, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*(-6)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 3*y**2 - 4*y + 1. Suppose 4*p + 3*j = 0, -16 + 5 = p - 2*j. Is v(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 1713494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuiwurwpruwwcrp. What is prob of picking 1 r and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-10)*(5 - 1). Suppose -1 = -3*t - 4*o, -4*t - s*o - 16 = -8*t. Factor -2\/7*v**2 + 0 + 2\/7*v**t + 0*v.\nAnswer: 2*v**2*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144690 and 1456.\nAnswer: 1157520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/513027 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -90*k - 44. Is v(-20) a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**5\/b)\/b**(1\/4))\/(b*b**0*b**(4\/7)*b))**(-27))**(-45) assuming b is positive.\nAnswer: b**(40095\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 14 + 52. Let p = -33 + x. Suppose p = w - 2*y - 12, 0 = -w - 4*w + 3*y + 60. Solve g = 5*g + w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10104*f = 36565 + 670715 for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 1. Let f be (2 - -2)*6\/(-4). Let k = 5 + f. Is w(k) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (1 + -4 + -3 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-4)\/14)\/(-11 + 3145\/630 - -6) and (-2 - 1)*4\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 448 = 18*y. Let r = -203 - y. Let z = -53 - r. What is the common denominator of 2\/9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 4*c**2 - 17*c**2 + ((-2 + 1 + 2)*(0*c + 3*c + c) - 2*c - 4*c + 5*c)*(c - 2*c + 0*c) - 4*c**2 + 4*c**2 - 2*c**2 as f*c**2 + w + p*c and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3435885*y**3 - 783381770*y**2 + 44652759180*y + 129960 = 0.\nAnswer: -2\/687177, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056215 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10203475393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 30*h**2 + 30*h - 25. Is t(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Let s be i(6). Suppose -3*v + s*v = 1174. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1316064 and -0.1166.\nAnswer: 1316063.8834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 0*n**3 - 2*n**3)*(15770*n**2 + 3815*n**2 + 6097*n**2 - 5354*n**2).\nAnswer: -40656*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7518494?\nAnswer: 2, 61, 61627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v**2 + 9*v - 1. Let u be d(-1). Suppose 2*l + 99 = 3*p, u*p = l + 84 + 74. Calculate the remainder when 272 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458*b + 2389*b + 5158 = 11239 + 7436 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -190*l + 596. Let x be s(3). Let b(f) be the first derivative of x - 10*f + 11*f**2 + 1\/2*f**4 - 14\/3*f**3. Let b(g) = 0. Calculate g.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -2. Let t be (-4)\/z + (-1216)\/(-88). What is the highest common factor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 c when three letters picked without replacement from {y: 2, h: 1, n: 2, i: 5, a: 2, c: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51843 + -51843.000023763. What is i rounded to 7 decimal places?\nAnswer: -0.0000238","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 9, v: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -18*f**2 + f. Let q(w) = 10*w**2 + 18*w. Let u(o) = o**2 + 2*o. Let i(y) = 2*q(y) - 18*u(y). What is t(i(j))?\nAnswer: -72*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 130 + (-3)\/((84\/(-20))\/7). Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 816468235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 60. Suppose 27 = u*b + 11. Let p(m) = 0*m - b*m + 4*m - m. Let y(a) = -a - 4. Determine p(y(t)).\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-9))\/(4\/((-24)\/6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, 44, 5\/3, -5, 2, 0.2, -4.\nAnswer: -5, -4, 0.2, 0.26, 5\/3, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 1 + 1 - 5 + 5 - 2*q**5 + (4*q - 5*q + 3*q)*(-3*q**4 + 0*q**4 + q**4) + 0*q**5 + 0*q**5 + q**5 + 2*q**5 + 0*q + 0*q + 0*q**5 + q**5 + 4*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1. Let i(j) = -5*j**2 - 8440*j + 16886*j - 8444*j - 6*j**2. What is -i(d) - 2*m(d)?\nAnswer: 11*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 + 352\/5. Let w = 1.16447 - 0.16447. Let r = 5.032 + -0.032. Which is the smallest value? (a) u (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**24\/(c**(-2\/25)*c*c\/c**(-2\/21)*c) assuming c is positive.\nAnswer: c**(-1583\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(9\/5))**4*w**(-12)*w\/(((w\/w**0)\/w*w)\/w*w)*w assuming w is positive.\nAnswer: w**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*k - 57*k + 38*k + 1)*(4*k**2 - 6*k**2 + k**2).\nAnswer: 77*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1172, 43, 0 in increasing order.\nAnswer: 0, 43, 1172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8594, 17178, 25762, 34346, 42930?\nAnswer: 51514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 709207 and 5149.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.273 + 1.063. Let z = c + -1.79. Which is greater: 0.036 or z?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/13 + (-1089)\/(-234))\/(21\/(-42)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 + 1 + (-4 + 5 + 0)*(-5 + 9 - 7))*(2*v**2 - 4*v**2 + v**2).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u**3 - u)*(-7*u**2 + 1 - 1).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 353\/42 + -60\/7. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 - 21.2. Let z = n - -17.9999938. What is z rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-168))\/13*(-36)\/(-4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/17))**6*(r**(-34)\/r)\/r*r*r**(-14)*r)**40 assuming r is positive.\nAnswer: r**(-32400\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021000 + 0?\nAnswer: 11021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40609 and 0.2.\nAnswer: 8121.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27634282 by -812773.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/35 + (-89)\/7. Let a(f) = -f**2 - 14*f - 7. Let p be a(y). Let h = p + -3. Solve u = -h*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 0.06 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*d = 65*d - 36. Let x(w) = -2*w - 16. Is 8 a factor of x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10188 = -226*c + 4954. Let g = 86 - 143. Let a = g + c. Solve 2*x - 7*x = -a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 20*p**2 - 38*p - 11. Let m(b) = -7*b**2 + 13*b + 4. Let k(a) = 17*m(a) + 6*v(a). Let y be (-8)\/14 + 2898\/441. What is k(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6866 - -1.0978.\nAnswer: 6867.0978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22615844*o - 22615844*o - 3 - 1180*o**2)*(-2 + 1 - 1).\nAnswer: 2360*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s + 1. Let c(k) be the third derivative of -k**5\/15 + k**4\/24 - k**3\/2 - 343*k**2 + 4*k - 2. Give 3*a(q) + c(q).\nAnswer: -7*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:20 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 9. Suppose 0 = i*k - 11 - 13. Suppose -w = -2*w + k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32050 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2 + sqrt(3))**2*-3 + (sqrt(3072))**2 - 4*((sqrt(48) + sqrt(3))**2*2 + sqrt(24)\/sqrt(32)).\nAnswer: -2*sqrt(3) + 2391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4))\/(4\/520). Suppose 4*l = -3*b + n, -2*l + 0*b + 60 = -4*b. Suppose 3*a = -2*a + l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -5. Suppose 0 = -l*v + 3*v - 20. Let a(z) be the third derivative of -z**4\/24 - 2*z**3\/3 - 8*z**2. Determine a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -4*z + 5*h, 0 = -914*z + 912*z + 2*h - 44. Which is the third smallest value? (a) 4 (b) -4 (c) z (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egggzsezgezge. Give prob of sequence ez.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 12*b + 5. Calculate u(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3101844*r**5 - 588*r**2 - 540?\nAnswer: -186110640*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38085, -88851, -139617, -190383, -241149, -291915?\nAnswer: -342681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97442 + -95284.182.\nAnswer: -192726.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 414b - 3?\nAnswer: 4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(-1*sqrt(704)*-1 + 2 + (sqrt(704) - (1 + sqrt(704) + sqrt(704))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**5 + 20822*f**4 + 7039016*f**3 + 449427808*f**2 - 30073656704*f - 20246768640 = 0.\nAnswer: -6588, -196, -2\/3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**3 - 35*u**2 - 80*u - 60 = 0. Calculate u.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 w, and 1 q when three letters picked without replacement from ddvqqqqvwqwqadt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 4 = -4. Solve 4*l - 7 = v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00199162411 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c + 9. Determine t(-6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2018299501.\nAnswer: 6247, 323083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*k - 61455 = -70838 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32578.\nAnswer: 2, 7, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/9)\/v*v)\/(v\/(v*(v\/v**(2\/17))\/v*v*v))*v**0\/v*v\/(v**(-3\/2)\/v)*v**8*v\/(v*v*v*v*v**(2\/17)\/v)*(v\/((v*v**1\/v)\/v)*v)**(-1\/26) assuming v is positive.\nAnswer: v**(38759\/3978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 397*p - 143. Let s be t(5). Suppose -2040 - s = -6*r. What are the prime factors of r?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 44328*h - 122810724.\nAnswer: -4*(h + 5541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-304))\/(((-90)\/320)\/((-3)\/(-4)))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a + 3*a)*(-2*a**3 + a**3 + 3*a**3) + (-2 + 2 - a)*(-a**3 + 0*a**3 - a**3).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*h**3 - 593*h**2 + 3*h - 6863 wrt h?\nAnswer: 156*h - 1186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1431\/(-18))\/(-53)*1*(-16)\/(-15)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 1665 - 575. Solve -7*d - f = 9*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v + 226 - 831. Let s = 34 - -27. Let w = s - v. Solve 3*x + 0*x = -w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**2\/4 - 11*v\/4 + 3\/2 = 0. Calculate v.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -338 + 3703\/11. What is the common denominator of -3*(-1)\/24*-39 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52457.577 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832)*-3 + 2)*5 - ((sqrt(832) + -2)**2*-3 - (sqrt(832) + 3 + -5 - sqrt(832))**2).\nAnswer: -216*sqrt(13) + 2522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**3 + 839*y**2 + 65*y**3 + 844*y**2 - 1683*y**2 - 141*y**3.\nAnswer: -57*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + sqrt(1584) + sqrt(1584) + sqrt(1584) + sqrt(1584)*-2 + -2 + sqrt(1584) + (-1 + sqrt(1584) - sqrt(1584))*-6*-4))**2.\nAnswer: -9072*sqrt(11) + 60993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-6*(sqrt(704)*2 + -2))**2 - (-3 + 0 + sqrt(396) + (sqrt(44) - sqrt(704))\/sqrt(4))).\nAnswer: -6921*sqrt(11) + 304569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 7*j - 130 - 3*j**2 - 117.\nAnswer: -3*j**2 - 7*j - 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/4*1*9944\/(-7458)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 3*a + 5*r, -1266*a - r - 256 = -1251*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13.54 times -88\nAnswer: 1191.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13) - 100\/(-364).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 16. Suppose -2*z - z = j*c + 1, -3*z = -c + 11. Solve c*s = 5*p + 10, 4*s - 3*s - 5 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121181.31 and -3.\nAnswer: 121178.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -234667.9 - -225161. Round b to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114828196 and 213738.\nAnswer: 10178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 23*l - 13. What is the units digit of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11155 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 50. Let b be g(26). Put 0, b, 8, -5 in descending order.\nAnswer: 8, b, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 17. Suppose 0 = n - 8 - x. Calculate the greatest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8266 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3610, 10034, 27522, 61606, 117818?\nAnswer: 201690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -6\/11, -11\/2, -10319 in ascending order.\nAnswer: -10319, -11\/2, -6\/11, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 29, 18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -16, -57, -136, -265, -456, -721?\n\"Answer: -2*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 70 = 2*g + 16, 0 = 5*y - 3*g - 105. Suppose y = 4*m - 2*q, 2*m - 5*q + 11 = 39. Suppose -m*j - 461 - 2499 = 0. Round j to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*2\/(-3))\/(2\/(-3)). Suppose -2*q = -4*d - u, -4 = -6*d + 8*d - 2*q. Let i be ((-81)\/(-3) - 2) + d + 1. What is the greatest common factor of 36 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)*(n*n**(-39))\/n)**(18\/11) assuming n is positive.\nAnswer: n**(-708\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 154 = -29 + 199 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nsnnnnnnsn. What is prob of sequence nnnn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -102483 divided by 1\nAnswer: -102483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 - -7a?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*k - 916*k + 562 + 446*k - 2*k**2.\nAnswer: -2*k**2 + 562","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 4*f - 21*f**2 + 2*f + 2*f.\nAnswer: 2*f**3 - 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - 22*k + 16. Let b = 43 + -29. Let f = b + -6. What is the remainder when r(6) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2735078?\nAnswer: 2, 1367539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -3*c - 5*m + 109, -2*m = -2*c + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 41 = -4*h. Suppose h*f = 9*f - 30. Calculate the remainder when 39 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 4) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: -3 - (-6 + 0 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 5*j + 3. Let x be u(4). Suppose 6*c = 5*w + c + 5, -3*w + 4*c = x. Put w, 2, 0 in descending order.\nAnswer: w, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 73594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*c - 4, 26*k - 32 = 3*c + 21*k. What is the second biggest value in -1, -109\/8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/690*((-890)\/(-3738))\/((-1)\/(-7))?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssssjss. Give prob of sequence ssj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -93363 - -16?\nAnswer: -9334b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 29.\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*x + 198 = 846. Let d(y) = 3*y**2 - 20. What is d(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284679 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from kkpwkokookkwhpkup.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118895355 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -488*w - 525*w + 24312 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**7\/21 - 152*s**6\/5 - s**4\/2 - 145*s**3\/6 - 3*s**2\/2 - 7719*s + 1. Find the third derivative of b(d) wrt d.\nAnswer: -120*d**2 - 21888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 210*h + 1051. Let l be q(-5). Is 153\/80 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*x + 137*x - 305*x.\nAnswer: -440*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 135*d**2 - 3*d - 3. Let i(h) = -407*h**2 + 11*h + 11. Give -2*i(v) - 7*j(v).\nAnswer: -131*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 44. Let f be 147 + m + 1\/(-3 + 2). Suppose 4*h = 4*n - f, 5*n - 137 = 4*h + 55. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -87*l**3 - 2*l**2 + 3*l - 2. Suppose -33*h = -7*h + 6*h - 32. What is g(h)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7775 by -114.\nAnswer: -7775\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 7 - (-13979)\/(-2408) and -27*(-9)\/54*93\/72?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0 - -1) + 3664)\/(-1). Let t be (-3)\/7*b\/(-610). Let v = t - -22\/61. What is the common denominator of v and -83\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 164 and -0.4.\nAnswer: 163.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/28 and 21\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 1, a: 6, f: 1, d: 3, n: 2}. What is prob of sequence nj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 2, v: 2, g: 6, j: 3}. Give prob of picking 2 s and 1 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7*r - 5. Let v be -1 + (1*-6)\/(-2). Let k be v*(-2)\/4*r. Put -2, -5, k in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-40)\/(-12))*-2. Let h be (-5 + 5)\/(1 - 0). Find g, given that 2\/5*g**5 - 2\/5*g + 4\/5*g**2 - 4\/5*g**4 + h*g**x + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28441*o**5 - 1869*o - 3 wrt o?\nAnswer: -568820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let t = -10.8 - -10.29. Let y = -0.51 - t. Which is the second smallest value? (a) y (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4910378.76ns in weeks?\nAnswer: 0.0000000081190125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -496.6 - -496.60004378. Round n to 6 dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 428558, 428580, 428602, 428624, 428646?\n\"Answer: 22*a + 428536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298 - -2409. List the prime factors of g.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 360*s + 7198. What is the hundreds digit of q(46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 5\/4, -2354?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*y = -852, 4*w + y - 684 = 3*y. Suppose 10*g - 872 = -w. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:33 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -24256.83 to the nearest ten.\nAnswer: -24260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) 8\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.8. Let i = -13860 - -13801. Which is the second biggest value? (a) i (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 92.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 + 266. What is the common denominator of 388\/s*2\/(-6) and (-174)\/(-100) + (-1 - -1)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -1)*30\/(-45). Calculate the common denominator of (d\/(-32))\/((-4)\/(-664)) and 54\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770\/(-2562) + -1 - (3 - 13\/3)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.998 + 0.002. What is the closest to -1\/4 in h, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/7 - (-32)\/(-28). Let i = 0 - -15. Suppose -u + 3*o + 15 = 0, u = -0*u - 3*o - i. Which is bigger: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 - -17.6. Which is smaller: -2\/9 or a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/60 + z**3\/6 - 38*z**2. Let r(o) = -o. What is r(m(q))?\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96.9857 + -0.0143. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 + 113*b**2 - 11*b - 519. Give o(28).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 2*p = -5*r + 16, -3*r + 5*p + 9 = 0. Which is smaller: r or 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*98\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1386 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40407202607864 and 0.1?\nAnswer: 40407202607864.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1135460?\nAnswer: 2, 5, 56773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2629632392 and 828?\nAnswer: 2629633220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/(-56) + (-15)\/180*-9.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-4 + -3 - -4) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 0 + (5 + -6 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 9*35\/15 - -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + 5*o + 8. Let d(h) = h - 7. Let c be d(13). Let m be z(c). Solve -m*w - 6 = -4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/3198 and -11\/936.\nAnswer: 38376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 minus 1559183.7?\nAnswer: -1557859.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -30*r**3 + r. Let q(v) = -v**3 + 29*v**2 + 29*v + 29. Let c be q(30). Determine o(c).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44172862.\nAnswer: 2, 22086431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112450 + 112450 - 25002*h.\nAnswer: -25002*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 2, v: 3}. Give prob of picking 1 v and 2 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 10*z**2 + 8*z - 9. Let x = -4443 - -4452. Determine i(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949*c + 43*c**2 - 14*c**2 - 10*c**2 - 16*c**2.\nAnswer: 3*c**2 + 949*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19921 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1319 by 1.\nAnswer: -1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 10. Suppose 173*a - 77 = 162*a. Give c(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164603 + 329324 - 164723 - 182*p - 302*p.\nAnswer: -484*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1173*f - 12. Let a be 12\/(-30)*(2 - 12). Let r be z(a). Round r to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 755 - 736. Find the common denominator of 35\/107 and n.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 4:40 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 7*t + 6. Let p(u) = -7*u + 56. Let n be p(7). Let f(y) = -y**2 - 3*y - 3. Give n*f(a) + 3*h(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -80, -82, -104, -158, -256?\n\"Answer: -2*v**3 + 2*v**2 + 6*v - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}