diff --git "a/data/dm_maths/full_data_1/11225_11255.jsonl" "b/data/dm_maths/full_data_1/11225_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11225_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 139 minutes after 6:18 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 13*u - 0. Put u, 0, 2, -7 in ascending order.\nAnswer: -7, 0, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**2 + 2*r**2 - 2*r**2)*(r - 3*r - 5 + 4) + 3*r**3 - 3*r**2 + 3*r**2 as l*r + y*r**2 + f + d*r**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 14*u**2 - 15*u + 6. Give p(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**6\/120 + 7*y**5\/60 - y**4\/12 - y**3 - 2*y**2 - 2. Let t(a) be the second derivative of x(a). Does 14 divide t(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 8*j - j as u*j + c and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 2140 + 2355. Suppose 0 = -22*t + 17*t + p. What is the remainder when t is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134, 289, 430, 557, 670?\n\"Answer: -7*s**2 + 176*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28\/51 - 2\/17. Let s = -18\/149 - -203\/447. Put o, -3\/119, s in decreasing order.\nAnswer: s, -3\/119, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (-3 + sqrt(1573)) - (sqrt(65) + sqrt(65)*1)\/sqrt(5)) + 1.\nAnswer: -2*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002580647176 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62535441 - 2.\nAnswer: -62535443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508 or 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r**2 + 21*r + 21. Let x(t) be the second derivative of t**4\/4 - 5*t**3\/6 - 5*t**2\/2 - 18*t. What is 5*j(o) + 21*x(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 40 + 7*g**2 - 2*g**2 - g**2 - 2*g**2.\nAnswer: 9*g**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -15, 50 in decreasing order.\nAnswer: 50, -15, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/189*138\/(10\/(-15)*-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/13)*n)\/n*n**(5\/2)*n*n)**(3\/4)\/((n**(2\/5))**(5\/11))**(-3\/23) assuming n is positive.\nAnswer: n**(86391\/26312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*r**5 + r**4*s + 2004*r**3*s + 120*r**2*s + r - 387*s wrt r.\nAnswer: 1440*r**2 + 24*r*s + 12024*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 61 = 3. Suppose 28 = a*f - 0. What is the remainder when 73 is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -21310?\nAnswer: -21313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -23*i**3 - 7*i - 43. Let w(k) = 8*k**3 + 2*k + 14. Let p(n) = 2*l(n) + 7*w(n). Differentiate p(c) wrt c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219 + -155. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -144*x + 509. Solve -3*r = -x*k + 2*k, 17 = -4*r - 3*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12549, 100551, 339405, 804537, 1571373?\n\"Answer: 12571*o**3 + 5*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22265759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 192*b + 6573. Determine g(-36).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let a(o) be the first derivative of 6*o**3 - 15. Calculate n(a(w)).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 107*p - 3. What are the prime factors of w(1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from kjjrtiwkwrrkw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 106, 87, 68, 49, 30, 11?\n\"Answer: -19*x + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 443, 889, 1335?\nAnswer: 1781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 7*z - 3 - 5 = 0, 5*z + 16 = 4*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25193150 and 26200876.\nAnswer: 655021900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 - 4*p + 3. Calculate w(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10346 (base 7) to base 13\nAnswer: -1238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212204467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.06 - -0.66. Let o = d - 1.6. What is the nearest to -0.2 in o, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 4*w, 0*w = -3*w - 3*o + 27. Let g(z) = -z - 6. Let k be g(w). Let c be 4\/k + (9\/(-15) - -6). Solve -i + c = -0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u**2 - 8*u**2 + 34*u**2)*(7*u**3 - 2*u**3 + 6*u**3) + (0*u + 0*u + u**2)*(3*u**3 - 3*u**3 + 3*u**3) + 3*u**5 - u**4 + u**4.\nAnswer: 512*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 797290 divided by -65.\nAnswer: -12266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15243 is divided by 3802?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221010 + -120200021111?\nAnswer: -120201012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*s = -n - 17, 3*s = -5*n - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) + (-110)\/25. Let i(j) be the first derivative of 5*j**2\/2 - 2*j + 1. Let o(g) = -g + 1. Determine c*o(l) - i(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -41, -80, -151, -266, -437, -676?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*p + 6. Suppose p*x = 267 + 33. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q - 0*q. Let w be (-125)\/(-15) - q\/3. Let j(a) = w*a - 8*a + 2*a**2. Let i(p) = 5*p**2. Give j(i(z)).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 3*o - 4. Let c be h(-3). Suppose -5*k + 26 = q, 4*q - 129 + 41 = -4*k. Calculate the highest common divisor of q and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40947988 and -0.1025817.\nAnswer: -40947988.1025817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/(x*x\/(x\/(x**(1\/3)*x))))\/((x**1\/x)\/x)**(10\/3) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 1, c: 3, q: 5}. Give prob of sequence tqqq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12380)\/(-540) - 2\/(-27).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(152) - (1*(sqrt(152) + (sqrt(152)*2 - sqrt(152))) - sqrt(152)))\/((sqrt(8) - sqrt(288)*-2) + sqrt(8)*1*4))**2.\nAnswer: 171\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2428, -0.5, -1\/5, -37\/11 in increasing order.\nAnswer: -37\/11, -0.5, -1\/5, 2428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/46)\/(736\/(-16928)))\/((-37)\/8)\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/2 + 101*l**3 - 7993*l**2\/2 + 3691*l + 7788 = 0.\nAnswer: -236, -1, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 3*x + 6. Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22434289, -44868577, -67302865, -89737153?\nAnswer: -112171441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 7*v + 2 - 1\/3*v**3 + 2*v**2. Calculate b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 351 - 352. Which is the second smallest value? (a) 3 (b) 22 (c) f (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66674 and 5032.\nAnswer: 266696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9212 - 0.0788. Which is the smallest value? (a) 5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 92*q - 350. Let h be v(4). Solve -9*o = -3*o - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6186330 is divided by 165?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o = -28*o, 3*o = -b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35518344391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -84*j + 2431. What is l(29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4 - 4 + n**2 + 0 - n**3 - 1. Let o(q) = -5*q**3 + 5*q**2 - 8. Let i = 1 + 5. What is i*d(v) - o(v)?\nAnswer: -v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 174*m - 527. Let c be x(3). Sort c, -2, 4, 0.\nAnswer: c, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 92\/119?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**9\/3024 - n**6\/24 + 13*n**3\/3 - 7. Let k(o) be the third derivative of v(o). Find the third derivative of k(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16483*o**3 - 22*o + 4429442 wrt o?\nAnswer: 49449*o**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 + 161*m**2 + 66*m + 31. Let d be r(54). Suppose -5*t = -20, 4*f - 24 = -2*t + 12. What is the greatest common factor of f and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {a: 1, q: 1, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15478+-3\nAnswer: -15481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -65 (c) -8 (d) 7.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 + 52*p - 14. Let t(o) = 2*o**2 + 35*o - 9. Let n(s) = 5*l(s) - 7*t(s). What is the units digit of n(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 35*m - 206. What is r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/86 in -1\/2, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1537740.\nAnswer: -1\/256290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) + 0)**2 + (sqrt(3)*-2*-2)**2)*-4 + (2*sqrt(9)*2)\/(sqrt(3) + -1*sqrt(48)).\nAnswer: -264 - 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13668064?\nAnswer: 2, 53, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121898553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**4 + 794*u**3 + 5499*u**2 - 7886*u - 12592 = 0.\nAnswer: -787, -8, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 400 - 400. Sort -1, 5, -1.4, o in ascending order.\nAnswer: -1.4, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 - 6*q**2 + 4*q + 5. Let p(k) = -30*k - 7. Calculate the remainder when x(4) is divided by p(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 41.\nAnswer: 16\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(0 - (-8 + 4)). Let x(l) = -7*l**3 + l**2 - 2. Let m be x(j). Suppose 0 = -8*t + 14*t - m. What is t rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724443.2 years in decades?\nAnswer: 72444.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {v: 2, o: 8, b: 3, c: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*k**3 - 1744*k**3 - 529*k**3 + 585*k**3 - 1090*k**3.\nAnswer: -3022*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102\/463 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 2 - 2)*(0 - 3 - 5)*(0 + 0 - 2)*(-2*d + 0 + 0) to the form t*d**2 + y + f*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d + 4*d + 2*d. Let k(v) be the first derivative of -2 - 1\/2*v**2 + 0*v. Determine k(i(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 2:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22228136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 + -0.74. Let o = 0.85 + l. What is the biggest value in -4, o, 2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19108727 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 5. Let y be i(5). Suppose 6*f - f = y. Which is the third smallest value? (a) -2\/7 (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 22*m**2 - 22*m. Let f be u(23). Suppose p - 4 = f. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26023919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l\/(l\/(l\/l**(-6))*l))\/l)\/l)*l**(-1\/4))\/(l**1)**20*l*l**8*l**5*l**6*l**3*l assuming l is positive.\nAnswer: l**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -84 - 86) + (-1 - 8)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 30*a**2 - 25*a.\nAnswer: -5*a*(a - 5)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/6 + 1\/1. Let t(l) = -2*l + 5*l**3 + 2 - 1 + 2*l**2 + 4*l. Let w be t(-1). Which is the biggest value? (a) 0.3 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-36)\/(-14))*112\/588?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.334 + 0.766. Let j = -0.52 - -48.52. Let i = j - z. What is i rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10096 and 2024?\nAnswer: 2554288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4578 times 3?\nAnswer: -13734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -121, -272, -483, -754?\n\"Answer: -30*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396.359 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84625064 rounded to four decimal places?\nAnswer: 1.8463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11102 divided by 854\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*u - 37*u + 190045 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.20543l in millilitres?\nAnswer: 49205.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 9460 = -0*r + 10*r. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j + 70. Let c be p(8). Suppose c*h = 16*h - 426410. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 41\/((-574)\/168) - -15. Solve -3*r = -3*u + n, 4*u - 4 - 9 = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(45) + -2*sqrt(45)))\/(sqrt(63)\/(-1*sqrt(7))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xocoxc. Give prob of sequence coco.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 99?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (-2 - 1 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222428.74000056 + -222429.94. Let t = f - -1.2. What is t rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.7 - -12.869. Let u = b - 0.16584. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-100)*-10*-10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:12 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12034 - -13539. Which is greater: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 4\/9 (b) -12 (c) 73 (d) -23 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b + 165669 + 18601. Let u = -128739\/7 - b. Are u and 35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 16*a**2 - 29*a + 8. Suppose 73 = 3*c + 31. Suppose 2*t + c = t. Is 3 a factor of b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272274214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, -6, 36371 in descending order.\nAnswer: 36371, 14, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Suppose -3 = -d*b + 9. Suppose 0*i = -b*i. What is i rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-563)\/1126)\/(76\/(-8))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380932?\nAnswer: 2, 7, 149, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/99)\/(152\/(-836))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -1. Let n(i) be the second derivative of 3*i**5\/10 + i**4\/6 - i**3\/6 - 5*i + 3. Let t be n(1). Is t greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 180 = -4*d. Let a = d - -50. Calculate the remainder when 40 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52131196*v**2 - 3*v + 1198246 wrt v?\nAnswer: 104262392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = 5*p, 0*b + b + 5*p = 8. Let s(a) = 5*a**2 - 9*a**3 + 3*a + 3*a**3 + 5*a**3 + 2*a**b - 1. Give s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1)**41\/((c*c\/(c**(-3\/8)\/c)*c*c)\/c**7)*(c**(-4)\/(c*c*c**(4\/5)))**(-32) assuming c is positive.\nAnswer: c**(12049\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1561192334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - -8 - (-2 - (-13 + 17 + -2))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 1)*10\/20. Suppose 3*z = -3*s - 6, -4*z - 5*s + p*s = 12. Suppose 0*c - 6 = -z*c. Solve -t - 8 = -c*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g + 6*g)*(-3 - 1 + 2)*(1 + 1 - 3)*(0 - 2 + 1).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14620.\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*p - 212*p = 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102440033.\nAnswer: 149, 687517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 36 = 5*g + 5, -5*g = -t + 38. Let o = -5 - g. Suppose l = 3*l + q, -3*l + 14 = -o*q. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:40 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -79 (c) 23 (d) 4 (e) 2 (f) -0.3 (g) 4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 9*i)*(i + 2*i - i) + 0 - 4*i**2 + 0 + (1 - 2 - 1)*(2*i - 2*i - i**2) + 3*i - i**2 - 3*i.\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2377\/7 or -339?\nAnswer: -2377\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a + 141. Determine p(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/((-70)\/(-105)). Let s(i) = 11*i**2 + 2*i. Determine s(h).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243 + 15?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 180. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 25 - (-1 + -14 + (-23 - -57))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 2*sqrt(12))*-1)\/(sqrt(600) + 1*sqrt(600) - sqrt(6)).\nAnswer: -3*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 43*k - 1710. Calculate c(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/4)*z**(-4\/9)\/z*(z\/(z**(-1)*z))\/(z*z*((z\/z**(2\/7))\/z)\/z) assuming z is positive.\nAnswer: z**(-481\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 861221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + -9d9?\nAnswer: -9d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1142706311 + 5?\nAnswer: -1142706304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175305 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from drkdddrkmk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58722049 and 8462.\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1303, -2613, -3921, -5227, -6531, -7833, -9133?\n\"Answer: k**2 - 1313*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tprdnry. What is prob of picking 1 n and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85*20\/(-1700)*1\/93.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-30)\/(-75)*2\/(-22). What is the fourth smallest value in u, -4, 1\/5, -0.069?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 21*k**2 + 84*k + 2432. What are the prime factors of r(-22)?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + t + 1. Let a(m) = -m**3 - 8*m**2 + 7*m + 114. Let u(o) = a(o) - 6*j(o). What are the prime factors of u(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 5:39 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2 - 2)*(-1 - 1 + 1) + b + 2*b - 2*b + 0 - b + 0 + (7 + 0 - 1)*(-3*b + b + b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925 is divided by 378.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1408) - sqrt(2662)*-2)\/(-5*sqrt(11)*-1*3))**2*2.\nAnswer: 16\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {b: 1, s: 10, q: 6}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3*f**3 + 0 + 4 + (3*f**2 + 12*f - 12*f)*(4 + 4 - 6)*(0 + 0 - f).\nAnswer: -9*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56\/37613 + 81876389\/4776851. Let g = -342107\/11430 + i. Let b = g - -316\/15. Calculate the common denominator of 29\/16 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3969633, -2\/9, -3?\nAnswer: 3969633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*p + 669832 = -3684*p - 215*p - 2008*p for p.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 1. Let o be w(-1). Let n be 12\/30 - (-32)\/o. Let g = 4 - n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.56127 decades to years.\nAnswer: 425.6127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2013407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248 and 2350806?\nAnswer: 291499944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(468) + 2 + sqrt(468) + sqrt(468))*-3) - (sqrt(78)\/(sqrt(72)\/sqrt(3)) + (4 + sqrt(832) + sqrt(832) + sqrt(832)*2)**2).\nAnswer: -13327 - 405*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30434 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -2, -4 in descending order.\nAnswer: 3, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiiijiii. What is prob of picking 2 i and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5965820 or 5965819?\nAnswer: 5965820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 3*k**2 + 2*k - 5. Let p = -12 + 7. Let r be l(p). Let o = r - 35. Sort -2, o, -6 in descending order.\nAnswer: o, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3055 - 0.0945. Which is the second smallest value? (a) 1\/7 (b) 5 (c) o (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:12 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i. Suppose 3*y = -i*y + 3. Sort y, -5, -2 in increasing order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1799*a - 3135 = 1590*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z + 7 = 0. Let r = -133 - -136. Suppose -4*k - 44 = -r*a, -4*a + 9*a - 35 = -k. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8280.143mg to grams.\nAnswer: 8.280143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 - -12) + 2 + 1. Let t = -310 - -310. Let u be 17 - (z - (3 - t)). Solve -5*f = 4*a - u, -3*f + 20 = 4*a - 4*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0. Let o be (-22)\/77 + 24\/(-14). Let f(s) = 2*s - 1. Let x be f(-2). Which is the nearest to o? (a) k (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 30, -82*t = -79*t + 3*p - 114. What is the highest common factor of t and 1120?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*i - 4*j, -i - 3*j + 1 + 12 = 0. Suppose -3*v + 21 = -5*u, -i*v - 6*u + 63 = -u. Solve -2*s + 16 = 2*s, -s = 2*p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -10. Let l(h) = -h**3 - 1. Let f(q) = 2*q**3 - q**2 - q + 5. Let o(y) = c*l(y) - f(y). Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.45 - 0.4. Let v = -567.79 - -587.79. Sort i, -0.5, v in descending order.\nAnswer: v, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x - 3. Let l be r(-2). Suppose -7 = -u - l. Let h(z) = -z**2 - 4*z. Let j be h(-4). Solve -s - u*s - 10 = j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Let q(g) = g**3 - 6*g**2 + 4*g - 2. Calculate q(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 113*n**2 + 117*n**2 + 5.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((156\/(-33))\/(-13))\/1)\/(1\/6). Factor -8\/11 + 18\/11*z**2 - f*z + 14\/11*z**3.\nAnswer: 2*(z - 1)*(z + 2)*(7*z + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 702289 is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 275\/999 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(300) + 0)*6)**2.\nAnswer: 270000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10011000?\nAnswer: -10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k**3 + k**2. Let l(n) = 2*n**2 - n + 1. Let y be l(0). What is the tens digit of q(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-296*k - 290*k + 567*k + k**2)*(-22 + 3*k + 22) to the form u*k**2 + c*k + s + f*k**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (0 + -6*(-2*sqrt(468)*-1 + 3))**2).\nAnswer: 5184*sqrt(13) + 135436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*i*v**2 - i*v - 16*i + v + 22 wrt v.\nAnswer: -28*i*v - i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69318*r**2*y - 5*r**2 - 2*r*y - 92*r + 2*y - 4 wrt y.\nAnswer: 69318*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 + 232. Put b, -4, -5 in descending order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -3 + (-6*(-2*sqrt(2057) + sqrt(2057)))**2 + -2)*-5.\nAnswer: -2221350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-18) - (-22)\/(-99)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-20)\/30)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*o**2 + 140*o**2 + 88*o**2 + 111*o**2 + 60*o**2 + o as f*o + x*o**2 + k and give x.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + 0 + sqrt(1088))**2.\nAnswer: 32*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564800393 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h**2 + h. Let a(j) = -j**2 - 10*j + 5. Let l be a(-10). Let n = 7 - l. Suppose -1 = -w - n. Let k(g) = -g**2 - g. Determine w*r(u) - 3*k(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -0.3.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 1176.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 11*q**2 + 9*q - 17. Suppose -21 = -9*h + 24. Let b be o(h). Let j(r) = r + 13. Let m be j(-13). Sort -3, b, m, -8 in decreasing order.\nAnswer: b, m, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**7\/2520 - 11*i**4\/24 + 9*i**2. Let d(s) be the second derivative of m(s). Let g(u) = -8*u. Give d(g(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 + 2*s - 1. Let m be a(4). Suppose -g = 5*k + 31, 2*g + 0*k - k = -29. Let t = g + m. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*y**3 + 25*y + 10*y**2 - 75*y + 49*y)*(5*y - 2*y - 2*y) in the form t*y**2 + o*y + b + f*y**4 + i*y**3 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*m + 2, 2*m = 4*m - 2*l. Solve u - 3 = m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011210 (base 3) to base 4.\nAnswer: -31122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 (base 13) in base 4?\nAnswer: -11321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*k - 8. Let w be k*1*8\/(-6). Let g = 13 + w. Solve 0 = -g*m - 2*j - 2*j - 22, -3*m + 2*j = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (-4 - (-8 - -9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 14*z - 17*z - 1 = 0, 4*r - 4*z = -20. Let p be (r + 854)*2\/3. What is p rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.6 and 0.1.\nAnswer: 2.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) - 7969\/(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116278 is divided by 58137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (4 - (-7 - -6) - 4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0973517 * -0.2.\nAnswer: -0.01947034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.356679754 to five decimal places.\nAnswer: 0.35668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -1134 + 1142. Solve 2*r + 5*i = -3, 2*r + 3 - u = -4*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*g + 33, d - 2*d = g - 11. Calculate the highest common divisor of 44 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 180\/240*4\/3. Calculate the greatest common divisor of y and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15284*y**3 + 3384*y wrt y.\nAnswer: -91704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 10*x**2 + 3*x - 25. Let v be z(10). Suppose -20 = -f - 2*r, 0 = 5*f - 10*f + v*r + 100. Calculate the least common multiple of f and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*52.7325\nAnswer: -580.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let d(c) = 18*c - 3. Let b(h) = 37*h - 5. Let l(x) = -3*b(x) + 5*d(x). Give z(l(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 76179024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -137*x**2 + 3480*x + 25856. Calculate g(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-3)*(-12)\/8. Suppose 0 = -a*i - 7 + 22. Find the second derivative of -6*w + 7*w**2 + i*w - w**2 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 y, and 1 z when three letters picked without replacement from ryzyzydypp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is aa1a (base 12) in base 11?\nAnswer: 13099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3317 and 1643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -2 - (-1695)\/(-828). Let r = i - 385\/46. Calculate the common denominator of -19\/14 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27\/4 + 15\/2. What is the closest to -1 in -1\/4, q, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5708821 to the power of 1\/2, to the nearest integer?\nAnswer: 2389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3*l + 4)*(8*l - 12*l - 16*l + (2 - 3 - 1)*(0*l - l - l)) to t*l + p*l**2 + k and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127022 + 81829 = -4796*x + 579*x + 182525 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = 3*w - 119, w - 2*u = 45. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/34)\/(114\/(-380)*1\/3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 12*l**2 + 120*l. Let h(d) = -2*d**2 - 2*d - 1. Calculate -5*h(r) - k(r).\nAnswer: -2*r**2 - 110*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3114, -2, -1\/8, -5 in decreasing order.\nAnswer: -1\/8, -2, -5, -3114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/29512 and 55\/3876.\nAnswer: 1682184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**3 + 24*r + 6. Let j(d) = 15*d**3 - 49*d - 13. What is 6*j(i) + 13*t(i)?\nAnswer: -i**3 + 18*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4 + 4252*w**3 + 46550*w**2 + 42300*w = 0.\nAnswer: -2115, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -332 (b) 3 (c) -0.051 (d) -0.3 (e) 3\/5 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17479 = -21*b + 257415 + 82904. Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742889519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1003\/22066*66\/(-2))\/(15\/(-16))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 10*v + 864. What is the greatest common factor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**6\/180 - 3*j**3 - 13. Let w(h) be the third derivative of p(h). Let q(g) = g. Give q(w(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 18 = 4*b. Suppose u + j - b = -u, 0 = -u - j + 9. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 80. Let r(y) = -3*y - 1. Let o be r(-3). Solve -o*l + q = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pefsssfffffbepfbfssf. Give prob of picking 1 e and 2 b.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7545.\nAnswer: 3, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) 0.2 (c) -4 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -82. Let r = s + -63. What is the remainder when 77 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 + 24 = 2*k, -5*k + 4*l = -51 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882589 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18625 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.054 + 3.946. Let y = 206607\/35 + -29996\/5. Let n = 96 + y. Which is the second smallest value? (a) n (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1, -m + 2 = 4*z - 5. What is the greatest common divisor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/4 + 3*i + 236. Let j(b) = b**3 + 2. Suppose -3*q - 7 = 5. What is q*m(g) + 5*j(g)?\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(30))\/sqrt(10))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 + 60 + 876 = 120*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1595593 or 20742720\/13?\nAnswer: 20742720\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 302*v - 292*v = -10, -5*p + 2*v - 22 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215199148*g**3*x - 31265902*g**2 + 2*x wrt g.\nAnswer: 1291194888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19085 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1584) + -1 + 3))**2 + 4 - ((sqrt(1584) + 3)*-4 + (sqrt(1584) + -1 + sqrt(1584))*6)) + -4.\nAnswer: 1632*sqrt(11) + 57186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -13721392.\nAnswer: 123492528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 5, 7.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 14*g - 2*g**3 + 7*g + 17*g - 39*g + 3 - 16*g**2. Calculate the lowest common multiple of 6 and b(-8).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147645?\nAnswer: 3, 5, 17, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79952913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 1896 + 2226. What is the highest common factor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 - -13 - (1 - (11 - 3 - -1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 + -0.15. What is the second smallest value in 87, -3\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 15. Suppose -38 = 30*a - 8. What is the nearest to a in -3, b, -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180443390 and 1497.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5460\/(-32))\/21 + 6.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 3. Let x(m) = -2*m + 2. Let u(q) = 3*d(q) + 5*x(q). Let b be u(5). Let v = -19 + 30. Calculate the highest common factor of v and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0 - 8 - (156 - 197)) + -8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (595\/(-15))\/((-210)\/90)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Suppose -k*z = 520 + 320. Does 7 divide (2\/5)\/((-3)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210 + -1?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3294666934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (198\/(-45) - -5)\/((-9)\/(-5)). Which is the third biggest value? (a) 2.6 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3\/4 + 329*x**2\/2 - 3689*x\/4 + 685\/2 = 0. Calculate x.\nAnswer: -137, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245977 is divided by 49049?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*266\/874)\/((-2)\/46).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 21. Let z be g(-9). Suppose -z*u - 5*k + 111745 = -2*u, 0 = 2*u - 5*k - 55865. Suppose -1848 + u = 19*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 335291\/13 and 25792 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1646231\/7 > -235176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 53 = 5*t - 2*y, -y + 179 = -3*t. Which is the nearest to 2\/7? (a) 1\/10 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27857, 57134, 86411?\nAnswer: 115688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/47 + -43\/94. Suppose 4*s = -s + 40. Let d = -3846\/245 - -3811\/245. Which is the third biggest value? (a) s (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3169 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6*i - 12. Solve 3*m - 6 = i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/140 and -73\/17300.\nAnswer: 121100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 355543*h**2 + 49448 wrt h.\nAnswer: 711086*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15876738?\nAnswer: 2, 3, 83, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {s: 1, a: 4, u: 2, n: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 26472.\nAnswer: 79416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 2, -0.2, -1, 0.41, -2360?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -694, -1400, -2144, -2944, -3818, -4784?\nAnswer: -5860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/16 + (-495)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let a = -1 + x. Suppose 3*y - v = -2*v + 74, -y + 3*v + 8 = a. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a*a**1*a)*a*a)\/a)**(-14\/13)*(((a**(-1\/3)\/a)\/a)\/a)**(-5\/6)*((a**(1\/9)*a)\/a**9)\/((a*a**(-2))\/a)**(-36) assuming a is positive.\nAnswer: a**(-694\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 5.67, -0.2?\nAnswer: 5.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8))\/(96\/(-128)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12413 (base 6) in base 13?\nAnswer: b19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 14*j - 14. Let o be z(-12). Let w(r) = -6 - 11*r + o*r - 5*r. Let x(m) = m + 1. Suppose -n + 0*n = -1. Give n*w(q) + 8*x(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -761047346, -761047347, -761047348, -761047349, -761047350, -761047351?\n\"Answer: -h - 761047345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*r + 13*r + 16*r + 384 + 7*r.\nAnswer: -r + 384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32861 and 128007931.\nAnswer: 128040792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 301. Let l be 3*1 + (-7 - -4). Is i(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 5, 520, -6\/5 in descending order.\nAnswer: 520, 5, -4\/7, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:08 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -118 and 23608.4?\nAnswer: -2785791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29467, -29467, -29469, -29473, -29479, -29487?\n\"Answer: -v**2 + 3*v - 29469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = -5*z, 6*z - 5*z - 72 = -5*r. Suppose -r = p - 5. Let g = p - -23. Calculate the remainder when 25 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + 29. Let g be (-188)\/(-2350) + 627\/(-25). Let l = g + m. What is the highest common factor of l and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 times 2?\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59*c*m**3 + 527258*c + 1109*m**2 - 2*m with respect to m.\nAnswer: -177*c*m**2 + 2218*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010111 + -1011000101000011?\nAnswer: -1010111110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-5))\/(15\/100). What is the greatest common factor of 40 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.96 - 0.04. Let l = -8 - r. Let p = -6.9 - l. Which is the smallest value? (a) 0.2 (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + r - r + (-1 - 5 - 1)*(2*r + 6*r - 7*r) to the form v + i*r and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (227 - 172 + 91)*(i - 5*i**2 - i) - 2*i**2 + 0*i**2 + 0*i**2 to h + s*i**2 + v*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/17, 1, 10.422, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0 + 1\/11*f**3 + 5*f + 2\/11*f**2 + 1\/66*f**4. Determine i, given that q(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146724 divided by -6.\nAnswer: -24454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + 3*u**2 + 6*u - 3. Determine l(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - c = 5*j - 27, -j + 3*c - 1 = 0. Let w = j - 1. Let b be 9\/w + 2\/(-7). Put -2, -5, b in decreasing order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15*q**3 - 1975*q**2 - 720*q + 8175. Let a(c) = c**3 - 141*c**2 - 52*c + 584. Let f(z) = -55*a(z) + 4*t(z). Factor f(r).\nAnswer: 5*(r - 29)*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 71 + 9. Let h = l + -21. Let p = 18 - h. Calculate the remainder when p is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4423692, 17694682, 39813000, 70778646, 110591620?\nAnswer: 159251922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 - 145.6. Let q = r - -7.2. Round q to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 141 + 26 = 50 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 14*u**2 - 5*u - 23. Let h be k(-14). Suppose 4*r - h + 15 = 0. Solve -2*l + r = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 86*q**2 - 38*q + 26. Let b(m) = -41*m**2 + 19*m - 13. Let w(i) = -21*b(i) - 10*d(i). What is w(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49699*w**2 - 13501*w wrt w.\nAnswer: 99398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**3 - r - 1. Suppose -3 = -z + 4*z. Calculate t(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*o + 191*o = -95. Which is bigger: o or 1145?\nAnswer: 1145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (235 - 240) + (6 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6382*b - 6345*b + 222 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(189\/18 - 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 - 2*p**2 + 7*p - 3. Let n(b) = -b**2 - 20*b - 4. Let x be n(-20). Is l(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.312 + 0.5.\nAnswer: -6.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23229, 0.0981, -0.5 in decreasing order.\nAnswer: 0.0981, -0.5, -23229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/30 and -19\/2301?\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 6*r + 36 = 0, 2 = r + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -129 - 50*b + 129 as o + k*b and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26769130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*q + 2*v - 16, v = 4*q + 18. List the prime factors of 18\/(-2)*(q - 20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 511?\nAnswer: 204.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3640519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2122575?\nAnswer: 3, 5, 7, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 32*g - 5624 = 0. What is the highest common divisor of g and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 46*q**4 - 74 + 72 + 2*q**3 + 20*q**2 - 51*q**4 as z*q + g*q**2 + c + o*q**4 + p*q**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -25514*j - 1122595. Determine n(-44).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = 7445 - 10775. Calculate the least common multiple of 111 and a.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001280389938 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 4\/7 (b) 259 (c) -0.099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -136479, -136078, -135677?\n\"Answer: 401*x - 136880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**5\/3 + 1060168*k**4\/3 + 1766972*k**3 + 6361144*k**2\/3 - 4240720*k\/3 - 2827168 = 0.\nAnswer: -2, 1, 265047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 2*l. Let n(i) = i - 1. Let v be n(4). Let t be k(v). Let m = t - -22. Is m <= 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.96 + -0.04. Let b be 40\/(-14) + 3 + 0. What is the nearest to 1 in d, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*t - 141 = 46 - 166, 2*t = -3*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19234 divided by 2.\nAnswer: 9617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1, -1913, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 - 2. Let v = -2 - 0. Let d = v - -4. Let a be z(d). Solve 0 = -a*p - 3 - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201?\nAnswer: 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qujxuxpo. 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: Let d(o) = -9*o**2. Let u = -278 - -285. Let s(c) = 23*c**2 - 7*c. Let g(f) = -21*f**2 + 6*f. Let r(b) = u*g(b) + 6*s(b). What is r(d(l))?\nAnswer: -729*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 4*i**2 - i. Let o(v) = -6*v**3 - 20*v**2 + 5*v - 1047. Give -5*a(r) - o(r).\nAnswer: r**3 + 1047","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(104\/(-26)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 14. Solve s + 15 = t*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 337*x. Let o(s) = 2*s - 36. Give o(w(j)).\nAnswer: 674*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*h + 12. Solve 0 = -h*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 5*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y - 57352 = 1001*y - 4192 - 4740 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 12:07 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/2, -0.24, -0.6, 0.4 in ascending order.\nAnswer: -0.6, -1\/2, -0.24, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 28 - (-20 + 14 - -16)) + (20 - 1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-76*154\/17556)\/((-1)\/(51\/2))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/91 - -23\/91. Which is the smallest value? (a) y (b) 4 (c) -3\/13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1074746 and -131\/330.\nAnswer: 177333090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71773.8 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9545 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 290*t**3 - 2305*t**2 - 4900*t.\nAnswer: -5*t*(t + 4)*(t + 5)*(t + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95272368 divided by -23818092.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/12 - 2*w + 2. Let f(p) be the first derivative of q(p). Let d(s) = -290 + 290 + s**2. What is d(f(a))?\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1\/3, 3, 0.3, -4, 1\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94603, 189210, 283817, 378424?\nAnswer: 473031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 20 = i, -5*i = 2*y - 7 - 8. Suppose m = -0*m + c + 85, 5*c - 395 = -i*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54125? (a) 0.74 (b) -6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 784487 - 253513 = 0. Round x to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 24 - 7*n - 4*n**2 - 38 - 11*n**3 + 60 + 12*n**3 as a*n + x*n**3 + b*n**2 + w and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 3:01 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*w + 2*z + 1013 = 316*w, -2*w - 3*z = -371. Solve -6*a - w = -163 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h = 410. Let v = h + -53. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974389, 1948760, 2923129, 3897496, 4871861, 5846224, 6820585?\nAnswer: 7794944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 2425.\nAnswer: 21825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 76 - 34 - 6*q**2 - 42.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -6, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(4050) - sqrt(4050) - sqrt(4050))\/sqrt(10))**2 + 2*sqrt(5) + -2 + 1 + 2.\nAnswer: 2*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -32. Let k be (1*t\/(-8))\/((-2)\/40). Solve -2*h + 4*b = 18, h - 3*b = -4 - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825929 times -0.1?\nAnswer: -82592.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 113 = 38. Solve -2*m + r*m = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j**2 - 5*j + 2 + j**2 - 7*j**2. Let v be d(5). Solve v*p + 20 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.9 - 25. Sort 2\/19, g, 2\/11, 0.06.\nAnswer: g, 0.06, 2\/19, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a - 3. Let y be m(-8). Let g = y + -7. Let w be 35*(2*-1)\/g. Calculate the highest common divisor of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/(-1 - 6) - 2. Solve -2*a = -8*a + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1771 - -1773. Solve i + 2*j + 1 = 0, i - b*j + 3 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 34*s + 3*p + 14 = 0, -5*p = -s + 14. Sort s, 3\/7, 14, -2.\nAnswer: -2, s, 3\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1133148*l**5 + 2413861*l**2 wrt l.\nAnswer: -67988880*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 13*p**2 - 6*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0184076331 to four dps.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183021486 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735435363?\nAnswer: 1735435363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6369*n = 6373*n + 2*t - 20, -n - 1 = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 = 5*t + 5*l, 7*t - 89 = 8*t - 5*l. Let v = 220 + t. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -40*i + 4. Let l be z(-3). Suppose 3*y - 47 = -4*w + 66, -5*w + l = -2*y. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 19*p = 192. Let u(m) = m + 15. Let k be u(-9). Suppose 0 = 2*z - k*z + 68. Calculate the remainder when p is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j - j**2 - 5*j + j**2 + 5*j - 5*j + (-2*j + 2*j + 2*j**2)*(-3 + 0 + 4).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 573572972 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2 - 3. Let w(p) = 4*p**2 + 2. Calculate -2*c(x) - 3*w(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -51969000 to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/(-35)*-5 - (-10 + 1). Let m(s) = 39*s - 14. Determine m(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/637 - (-680)\/(-7350)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 157*j**2 + j**3 + 5454*j - 5454*j to the form a*j + z*j**3 + f*j**2 + l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from yyyyyyyynyynyyyyyyyy?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 8:15 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 19, 10493, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*m - 58*m - 1628714 = -1611816 for m.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3 - 3 + 13 + s + 5*s + s**2 + 1. Suppose 4*n - 6*p - 22 = -4*p, -5*n = -2*p - 25. Suppose 0 = -6*h + n*h - 18. Calculate j(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3123 + 12136. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 156?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -2*x**3\/3 + x**2\/2 + 2*x. Let l(f) = -f. Let a be ((-25)\/30)\/(2\/(-12)). What is a*l(n) - c(n)?\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(832).\nAnswer: 3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01834 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199 + 2*g**3 - 199.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45400 and 1691150.\nAnswer: 6764600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14342851213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 67, 103, 139, 175, 211?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1198, -1210, -1222, -1234?\n\"Answer: -12*s - 1186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 4:43 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkjkwbuubkkbbb. What is prob of sequence kwbb?\nAnswer: 20\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 1. Let v be u(-7). Suppose 2*k - 4*k = 0. Suppose 3*l - v = -k. Solve -4*c = -l*a - 22, -c - 4*a + 10 = -9*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310335, 620656, 930969, 1241274?\nAnswer: 1551571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 3\/5, 2\/17, -4, -0.011 in descending order.\nAnswer: 3\/5, 2\/17, -0.011, -3.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-41)*y*(y\/((y*y\/(y*y**(5\/2)*y)*y)\/y))\/y*y**(-9\/7)*y**(2\/25) assuming y is positive.\nAnswer: y**(-13197\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 8*n + 3*n. Suppose -4*r + 3*r = 3*h - 1, -2*r + 2 = -n*h. Solve 5*q - 7 - 3 = h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -121.67.\nAnswer: -12.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3\/3 + 568*j**2\/3 - 3284*j\/3 + 2720\/3 = 0. What is j?\nAnswer: 1, 5, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -149151, -153358, -157567, -161778, -165991, -170206?\n\"Answer: -l**2 - 4204*l - 144946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-5)*-1*20\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*c = 19, -3*z - 11 = -0*c - 4*c. Suppose 3*v - z*h - 64 - 8 = 0, 4*h - 129 = -5*v. Calculate the highest common divisor of v and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-425)\/2295)\/(-15*(-7)\/(-504))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -380 - -114. Let a = -101 + -51. Let x = a - q. Calculate the remainder when x is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w. Suppose -3*j + 71 - 5 = w. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*u = 142*u - 2368 - 1660 for u.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -8 + -1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45120*x**2 + 44796?\nAnswer: -90240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-322)\/(-98) + 4\/(-14). Suppose -w*r + 36892 = -2*i, -i - 2*i = 4*r - 49212. What is r rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 24, 5*l + 2068 = 4*u + 2019 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4998349 is divided by 1249569.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -31. Suppose f = h + 3*k - 874, -4*k - 318 = -h + 528. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 5:13 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 84 = -116. Let x = 55 - l. Suppose -18 = -r - x. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 33. Put -4, -9, x in descending order.\nAnswer: x, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*w + 7562 = 7534, 2*x + 3*w = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, r: 4, s: 5, x: 4}. Give prob of picking 1 r, 1 q, 1 s, and 1 x.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 10511.\nAnswer: -10523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 8) to base 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 0.4, -16, -0.1, 134?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(49)*-5)\/(sqrt(7) - (sqrt(63) + sqrt(63) + sqrt(567))).\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**4 + a**4 + 0*a**4 + (93*a - 93*a + 12*a**2)*(2*a**2 - 61*a + 61*a - 2) to z*a**2 + o*a**3 + p*a**4 + k*a + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.057 - 0.057. Suppose -9 = -3*n + 3*j, 3 = 4*n - 3*n - 2*j. Suppose -z + 2 = n. Which is the biggest value? (a) z (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 13. Let h = -3 + n. Suppose -2*m = -5*w - 2 - 10, h = -2*m - 5*w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8638586 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 89*u**2 - 42*u - 84. Let p be i(44). Let f = -4 - -4. Let t be (-3)\/(-3)*(-4 + f). Put p, t, -5 in ascending order.\nAnswer: -5, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21))\/(6\/294)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 189506445384 + 4\nAnswer: 189506445388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 2.1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 320*y**2 - 23716*y - 8. Let m(u) = -u**3 - 317*u**2 - 23716*u - 6. Let v(n) = -4*m(n) + 3*q(n). Solve v(t) = 0 for t.\nAnswer: -154, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2 - 20 = -h, -29 = -h + 2*p. Solve -h*t + 156 = 66 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, -939.31 in descending order.\nAnswer: 0, -0.5, -939.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 125 = 25*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -5339*c**6\/120 - 1425*c**4\/4 + 4846*c**2. What is the second derivative of x(w) wrt w?\nAnswer: -32034*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -2 - 4\/(-2). Let q(w) be the first derivative of -3*w**2\/2 + 84*w + 24. What are the prime factors of q(t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8457 - -4.4467. Let r = 3.45 - 1.04. Let t = x - r. What is t rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnedj. Give prob of picking 1 e and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -27 - (0 - (1 - 101 - 12))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*v**3 + 63*v**3 - 21*v**3 - 25*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.35 + 210.65. Let c = 214.61 - i. Which is bigger: 0.2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*i + 3*i - 880, -5*h - 1496 = -i. What is h rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74200000 rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(4\/(16\/(-6))). Suppose -v - 8 = -4*r. Let o(g) = -4*g + r*g + 2 - g**2 - 3. Determine o(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9)*-2*84. List the prime factors of (-2)\/8 - (-2)\/(j\/5047).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3896 + 23279\/6. Find the common denominator of 89\/6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*3.87\nAnswer: 3.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -k - 62. Suppose m + 3*m = -k*u + 72, -m + 37 = u. Solve 33*q = u*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.53 and -0.3464109.\nAnswer: 0.1835891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -349, -703, -1059, -1417?\n\"Answer: -i**2 - 351*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -13. Suppose -b*x + 20 = -190. What is the remainder when x is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -352*p**5 + p**4\/6 - 1403*p**2\/2 - 6*p + 16. Find the third derivative of f(a) wrt a.\nAnswer: -42240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 25*t = -2184. What are the prime factors of t?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 5) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxwx when four letters picked without replacement from {x: 4, z: 2, w: 7}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.78422526 rounded to 2 decimal places?\nAnswer: -4.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -181, -30, 389, 1208, 2559, 4574, 7385?\n\"Answer: 22*h**3 + 2*h**2 - 9*h - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(495\/6) + (-14)\/(-33).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 - 28*r\/9 - 16\/3.\nAnswer: -2*(r + 2)*(r + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than or equal to -0.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1132 - -1?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 178*q - 2 - 90*q - 8 - 90*q - 6. Suppose -z = -2*r + z - 12, -z - 3 = 0. Let l be h(r). Solve l*w + 2*m = m + 11, 0 = -2*w + 2*m - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -27. Let f = b + -8. Let h = f + 6. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2 (c) -281 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 + 232*d**2 - 79*d + 153. Determine t(77).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -877?\nAnswer: -7893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1 - 1. Let t(s) = -53*s**2 + 3*s**2 + 2*s**2 + 6*s**2 + 40*s**2. Give t(k(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 10 = -4*t, -3*i - 2286 = -3*t - 2289 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -1\/3*x**3 + 1\/24*x**4 + 16*x**2 + 0 + 0*x + 1\/60*x**5. Determine j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, 37.\nAnswer: -1, 24, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/15)\/((-2)\/6). Suppose -i*b + b + 2332 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(119)*3 + sqrt(119))*2*-6)\/((3*2*sqrt(7) - -1*sqrt(252))*6))**2*6.\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*v**6 + 110*v**2 + 12*v**5 + 26*v**6 + 25*v**2 wrt v.\nAnswer: 120*v**3 + 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = -3. Suppose -6*n = -3*m - 2*n + 70, 5*m - 112 = 2*n. Let h be 40\/m - (2 - 0). What is the nearest to 2 in o, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1940, 1970, 2048, 2198, 2444, 2810?\n\"Answer: 4*t**3 + 2*t + 1934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -9*s - 5. Find the first derivative of 5 - s - 23*i**2 + 29*i**2 wrt i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2614467 (base 8) to base 16\nAnswer: -b1937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 98. Let q(a) = a**2 + 2564*a. What is u(q(j))?\nAnswer: j**2 + 2564*j - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**3\/6 + 1685*j**2\/2 + 13*j - 29. Let f(p) = -3*p**2. What is r(f(a))?\nAnswer: 3*a**2 + 1685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*2371\nAnswer: -308.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -405*c**5 + 7875*c**4 - 46370*c**3 + 77780*c**2 - 28040*c + 2880 = 0. Calculate c.\nAnswer: 2\/9, 2, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3970.\nAnswer: 1\/794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/((-22050)\/72)*14\/(-12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2076557 - 0?\nAnswer: 2076557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:49 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14222131 (base 7) to base 16\nAnswer: -145840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 4655 (c) -1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*n + 200*n = -267*n - 156*n + 9775 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-223)\/((-10)\/75 + (-26)\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j - 4. Suppose m + 0 = -2. Let q be v(m). What is the greatest common divisor of q and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4572490, 18289997, 41152526, 73160077, 114312650?\nAnswer: 164610245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(156) - -1*sqrt(156)))\/(sqrt(60)\/(sqrt(5) + 6*sqrt(25)\/sqrt(5))).\nAnswer: -336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1097.6 - 1098. Which is the nearest to -787? (a) 0.2 (b) -1\/10 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162945.4 weeks in days?\nAnswer: 1140617.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**3\/2 - 39*s**2 + 227*s\/2 - 75 = 0.\nAnswer: 1, 2, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**3 - 2*m**2 + m - 1. What is the remainder when 33\/22 + (-609)\/(-6) is divided by c(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 - 2*x**2 + 2*x**2)*(0 + 2 - 4) in the form r*x**2 + f*x + y and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 625290000 to the nearest 1000000.\nAnswer: 625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10877*d**2 + 312*d - 1233. Is t(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 263, 263, 261, 257, 251, 243, 233?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = r + 3*k, 908*r - 2 = 906*r - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*h + 4117 = 224*h - 11191 for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9) + sqrt(9) + 1*sqrt(9)) - sqrt(17)*2*-3)*1.\nAnswer: 19*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**5\/20 + d**4\/3 + d**3\/2 + 22*d. Factor x(u).\nAnswer: u*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(1890\/20 + -5). Is n at least 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a4 (base 15) to base 11\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.87119 + -432179.12881. Let n = -432187.400138 - p. Let r = 1.6 - n. What is r rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -793, 12, 159, -3 in ascending order.\nAnswer: -793, -3, 12, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2725288?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + -7.3. Let r = -8 - n. Which is the biggest value? (a) r (b) -2\/9 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - c**2)*(0*c**3 + 6*c**3 - 3*c**3 + (-2*c**2 + 0*c**2 + 0*c**2)*(1 - 1 + 2*c)) + (5*c - 2*c - c)*(-2*c**4 + 3*c**4 + c**4) + 2*c**5 - 3 + 3.\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -b393 (base 12) to base 11\nAnswer: -13764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/52080 and 129\/21700?\nAnswer: 260400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (19 + (-9 - 29))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 243?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176 and 31424?\nAnswer: 345664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/25*(2\/6)\/(112\/168). Sort -11\/4, 44, q in descending order.\nAnswer: 44, q, -11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2 = -22. What is the highest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 1 = 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506730 divided by -399.\nAnswer: 1270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -23*u**2 + 12*u**2 + 23*u**2. Let f(t) = -2*t. Give f(y(z)).\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1104386?\nAnswer: 2, 552193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 17*s - 459. Determine c(26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*g - 22, -3*v - 5*g = 3 + 34. Let m be v\/(-1) + 2\/1. Suppose m*o - 7*o + 60 = 0. Which is smaller: o or -14?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 - (-2 + -7). Let y be 54\/x + 3\/(-6). Solve 4*k = 5*v + 6, k = 2*k - 4*v + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 12*c**2 - 9*c + 10. Suppose 2*n - 6*n = 32. Let a be w(n). Let j = a + 290. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a56671 (base 11) in base 10?\nAnswer: 17636554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 14*b + 15. Calculate the remainder when 56 is divided by 1\/b - (-11)\/(220\/304).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xej when three letters picked without replacement from xcjece?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b. Let l(d) be the second derivative of d**4\/3 + 5*d**3 + d**2\/2 + 8585*d. Give l(f(w)).\nAnswer: 64*w**2 + 120*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 371 + 0*w**2 + w - 328 + 2*w**2 in the form s*w + i*w**2 + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4)*(-21 + 5*b + 21)*(0 - b + 0).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 9801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -81, -658, -2285, -5496, -10825, -18806?\n\"Answer: -89*k**3 + 9*k**2 + 19*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 494.1444 - 494. Let b = 0.13246 - l. What is b rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29979667 to the power of 1\/2, to the nearest integer?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4210133.1 rounded to the nearest one hundred thousand?\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.17 + 0.17. Which is the third smallest value? (a) l (b) 0.25 (c) -4\/9 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7824794, -15649566, -23474338, -31299110, -39123882?\n\"Answer: -7824772*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 22, 17, 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(3456))\/(sqrt(3) - (sqrt(3) + -4*(sqrt(108) - sqrt(3)))))**2.\nAnswer: 648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllllzzzzlz. What is prob of sequence llzl?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85557\/427 - -1347\/61. Let o be (3 + -11)*(-89)\/4. Let v = k + o. What is the smallest value in -0.2, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21240398 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y**2. Let i(p) = -6*p**2 + 61*p + 4*p**2 + 3*p**2 - 61*p - 26. Determine i(b(h)).\nAnswer: 121*h**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150*h = 1127*h + 2875. Which is bigger: 128 or h?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -1. Let x = z + -0.7. Let g = 31\/35 - 9\/7. Are x and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17136887 by -7.\nAnswer: -17136887\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575205226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3633498 divided by -36702\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-25*b + 51*b - 32*b)*(4 - 3 + 1) + 1 + 9*b - 8*b + 1)*(7*b**3 - 11 + 7 - b**3).\nAnswer: -66*b**4 + 12*b**3 + 44*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167.41655, -3, 0.6, 0.4.\nAnswer: -3, 0.4, 0.6, 167.41655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8943, 17537, 25823, 33807, 41495?\n\"Answer: l**3 - 160*l**2 + 9067*l + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/60 + 7*u**4\/24 + 7*u**3\/3 + 2*u**2 + 4*u. Let y(d) be the first derivative of s(d). Does 22 divide y(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 187 - 188 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 2*c**2 - 2*c**2)*(-478 + 956 - 169*c - 480).\nAnswer: -338*c**4 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04873 and -0.06.\nAnswer: -0.01127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 10*n - 3*n)*(-n + 2*n - 3*n + (2*n - n - 3*n)*(-2 + 2 - 2) - 3*n - 4*n + 6*n - 4 + 2*n + 4 + 0*n - 3*n + 2*n - n + 4*n - n).\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 0)*(3*q**4 + 0*q**4 - q**4) + 2*q**4 - q**4 + q**4 + 0*q**4 - 4*q**4 - q**4 in the form d + s*q**4 + r*q**3 + c*q + p*q**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**5 - 4*n**5 + 3*n**5 + (6*n - 6*n + 2*n**2)*(5*n**3 + 0*n**3 - 3*n**3))*(2 + 4 - 4).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**3 + k - 1. Let y be v(1). What is the second derivative of -y*s**5 - 5*s + 6 + 7*s**5 - 6 wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1762836 - 10?\nAnswer: -1762846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7*n**2 - 4*n + 4. Let q be (-4)\/10 + (-215)\/25. Suppose 4*k = -7 + 23. Let h(u) = -3*u**2 - 2*u + 2. Calculate k*f(g) + q*h(g).\nAnswer: -g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g + 6. Let k(q) = 9*q + 5. What is -6*a(f) + 7*k(f)?\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, 0 = -3*c + 4*q - 6*q + 102. Let x = c + 248. Are x and 281 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -c4b9?\nAnswer: -c4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -354008 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:41 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/27577300 and -83\/10.\nAnswer: 27577300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/17? (a) -131 (b) 0.5 (c) -5 (d) -1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 110. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 252992 + -6?\nAnswer: 25298a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*d + 181, 141*d - 138*d = -4*z + 149. Solve 3*f + z = 7*u, -f + 6*f - u = -37 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.316 - 78. Let v = z - 0.3159849. Round v to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238113539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11937310*c**5 + 2*c**2 + 60695*c - 1193 wrt c?\nAnswer: 238746200*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = a. Let m(b) = -2 - b + 12 - 3*b + 3*b. Is 2 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 6:41 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(-69) + (-60)\/9. Let s be -8*102\/(-336) - a\/(-14). Solve 3*q = 5*n + 22, -q = -s*n + 4*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 783*j**2 - 1125*j**2 - 1045*j**2 as x*j**2 + t*j + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2787, 5584, 8397, 11226, 14071?\n\"Answer: 8*m**2 + 2773*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -1, -2\/9, 8872, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tezegztthetzeeetg. Give prob of sequence gz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -7\/12*u**4 + 0*u**3 + 11*u + 0 + 2*u**2. Find the first derivative of s(x) wrt x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153) + -5 - (sqrt(34)\/((sqrt(2) + sqrt(18))*-3))**2) + 2.\nAnswer: -449\/144 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z - 2. Let m be q(2). Suppose -20 = 4*n, 0 = m*l + 5*n + 7 - 2. Solve 2*c - 3*c + l = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -124b?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25552bb (base 12) to base 16.\nAnswer: -6fd46f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123507491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5, -79, -285, -689, -1357, -2355?\n\"Answer: -11*a**3 + 3*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + -12. Let g = 17 - z. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07505 - 91.98495. Let a = -95 - x. Let q = a + -0.06. Is 1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31210043 (base 6) to base 2.\nAnswer: 11011100100010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1091, -1985, -2845, -3677, -4487, -5281, -6065?\n\"Answer: -m**3 + 23*m**2 - 956*m - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 797627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 417, 4, -2\/5, 5, -2.8 in decreasing order.\nAnswer: 417, 5, 4, 1, -2\/5, -1, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2746419489 to the nearest integer?\nAnswer: 52406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 292 = -22*b. Let j = -226 + b. Calculate the remainder when 394 is divided by j.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*-4*225\/(-60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (-14)\/91 - (-145)\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 797*o**2 - 480*o**2 - 317*o**2 + 437*o**3 - 2*o.\nAnswer: 437*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35018573 is divided by 486369?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0094 and 9492 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4\/5 (c) -2.4 (d) 34742 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000709 rounded to six dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {d: 4, f: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h + 27 = 5 - 626 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/4 + 2*a**3\/3 + 19*a**2 + 5. Determine f(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(56)\/(sqrt(28)*2))\/((sqrt(64) + sqrt(64) + (sqrt(64)*2 - sqrt(64) - sqrt(64))*-6 - sqrt(64)) + sqrt(64)).\nAnswer: -3*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**3 + 13*f**2 - 22. Let c(j) = -6*j**3 + 14*j**2 + 2*j - 23. Let t(b) = 2*c(b) - 3*v(b). What is the hundreds digit of t(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 2*l - 8. Is 36 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i = 17*i + 56. Solve 5*g = i*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4*b + 7. Let t(a) = -a**2 + 12*a - 13. Let r be t(11). Let w be 4 - (2\/r - 0). Let j be f(w). Solve s + 2*s + 14 = 4*i, -i + 1 = -j*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 6, r: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (18\/(-12) + (-10)\/4). Suppose v + 4 = -3*j + s*v, -4*v + 16 = 5*j. Which is the closest to j? (a) 5 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -21, -24, -9, 30, 99, 204, 351?\n\"Answer: a**3 - 22*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -4, 27\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 15, 39, 77, 129, 195?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 + 8*m - 4. Let o be 1\/(-4) + 36\/16. Let u = o - -6. Let f be z(u). What is f rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 5, 479.\nAnswer: -13, 2, 5, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:43 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y)*(-406 - 54 - 49 + (5 - 1 - 5)*(0 - 3 + 4)).\nAnswer: 510*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26473.18 weeks to days.\nAnswer: 185312.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-41 + 17 - 6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -10011100?\nAnswer: -10100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*y = 25159 + 4761. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + ((-16)\/8)\/(4\/18). Let p(w) = w**3 + 11*w**2 + 2*w + 1. What is the units digit of p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than or equal to -100\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62*w**3 + 125*w**2 - 184*w - 3.\nAnswer: (w - 1)*(w + 3)*(62*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 911719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*o = -4*o, o - 20 = -5*u. Let c = -6 + 8. Let f(a) = a**2 - 4*a**c + u*a**2. Let r(g) = g. Determine r(f(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000010010000 + -10?\nAnswer: 11101000010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1567 = -5*b + 1552. Let x(o) = o**2 - o - 1. Let r(p) = -169*p + 0*p**3 - 3*p**2 + 3 + 88*p + 88*p + p**3. Calculate b*x(h) - r(h).\nAnswer: -h**3 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/9, 0.5, 8, -5, 137?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 1. Suppose 3*x + 10 = -2*x. Give m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.3. Let x = -3 - -4. Let y = x - -2. Which is the nearest to 0.1? (a) y (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-4314)\/4*130\/15. Let k = 5274 + o. Is k\/4*38\/57 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14015418030 rounded to the nearest 1000000?\nAnswer: -14015000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2074 and 4.\nAnswer: 8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -24*y**2 - 2. Let n(m) = m**2. Calculate n(j(g)).\nAnswer: 576*g**4 + 96*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3343 (b) 4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/3, 1\/35, 0, -1, -1064\/11?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-324)\/(-270))\/(16\/15 + -1). Suppose 2*d + i = 22. Let y(r) = -6*r + 1. Calculate y(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4467246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32945, 32946, 32947, 32948, 32949?\nAnswer: 32950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 34 = -9. Let u = -1 - h. Suppose u*z = -0*d - d + 5, -2*z + 2*d = -10. Solve 3*i = z*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021020122 (base 3) to base 14.\nAnswer: 9153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-36)*(-105)\/455?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4404784 (base 9) in base 10?\nAnswer: -2365519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 2*b. Let c(o) = -3*o**3 - 9*o. Let p(w) = -2*c(w) - 9*s(w). Factor p(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -18. Let n = z - 0. Let t = 2 - n. Calculate the highest common divisor of t and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3264) + sqrt(3264))\/((sqrt(27) + sqrt(3))*-1 - sqrt(3)).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2599 - 525805946374.\nAnswer: -525805948973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2907 + 40721\/14. Find the common denominator of -27\/22 and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/12*-4*21\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (3 + -2 + -10 + -14 + 23 + -3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -23, -54, -97, -152, -219, -298?\n\"Answer: -6*a**2 - a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*i + 89*i - 67798838 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 4*b - y, 783*b = 778*b - 4*y + 338. What is the greatest common factor of b and 41825?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -105 * 39904\nAnswer: -4189920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((15\/(-9))\/5). What is the second derivative of r**f - r + 2*r**3 - 2*r + r wrt r?\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/96 + 100*y**3 - 360000*y**2 - 6041*y. Factor q(w).\nAnswer: -(w - 2400)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233846?\nAnswer: 2, 116923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 12*y**2 - 2*y - 1. What is s(2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -47, -122, -257, -470?\n\"Answer: -3*j**3 - 3*j**2 - 3*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 7 - (-22 + 9 - -128 - -7 - 7)?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24943343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39946596 by -13315532.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100871 (base 12) to base 11\nAnswer: 160976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + z)*(0*z**3 - 3*z**3 + z**3) + 0*z**3 + z**4 + 0*z**3 - z**4 + 2*z**4 - 3*z**4 - 5*z**4 + 0*z**4 - 11*z**4.\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**7\/7 - 44*a**6\/3 - 38*a**3\/3 + 166. Find the third derivative of u(j) wrt j.\nAnswer: -120*j**3 - 5280*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89072\/11 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17934.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (16\/(-10))\/((-19)\/190)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*m, -4*i + 6 = 3*m - 5*m. Let r be i*7*121\/11. Let y = -15 + r. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.7 or -94\/5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39 and -135232706999.\nAnswer: -135232707038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 21. Let w be f(-9). Let n(d) = -d - 3. Let s be n(w). Does 22 divide -3*((-91)\/s + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 114*p - 1945. What is s(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1321*p - 972 = -1097*p + 345 + 14363 for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.18869 and 4.\nAnswer: 3.81131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 7. Let l be (-6)\/90*5 + (-57)\/(-9). Let h be (4\/l)\/(54\/(-486)). Let s(m) = -2*m + 6. Calculate h*s(d) + 5*i(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*l + 7 - 1, 2*l + 38 = 4*q. Let w be ((-9)\/q)\/(3\/(-9)). Suppose -3*n - 78 = -4*v, -w*v + n - 5*n = -71. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*y - 10, 4*y = 3*s + 5*y - 15. Suppose 11 + 3 = m + 4*j, s*j = 0. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*u + 295*u + 280*u = 202*u - 7163 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.833 and 37?\nAnswer: -474.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z**(-3)*z*z)\/z)*z*z**(3\/2)*(z\/(z*z\/(z*z**(2\/11)*z))*z)\/(z**(-4\/9)\/z))\/((z**0)**(-23))**(-14) assuming z is positive.\nAnswer: z**(1609\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**3 - q. Let k be o(1). Suppose a + 14 = -4*t, -5*a + k*t = t - 14. Solve -a = -r + 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -916\/5 + 6487\/35. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - -26?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.3, 473932?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/5)\/p)\/p**10*p**2\/(p*p*p**(-4\/13)))**47 assuming p is positive.\nAnswer: p**(-35109\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2608 <= 3\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158507119 to the nearest integer?\nAnswer: 12590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqqw when four letters picked without replacement from qwwqwwwq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1887\/17*1\/(-3)*14\/((-42)\/3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.039 + -0.041. Let g = d + -1.998. Sort -0.5, 3\/10, g, -2\/3 in ascending order.\nAnswer: g, -2\/3, -0.5, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -21. Let p(r) be the second derivative of 0 + r**2 + r**3 - 1\/3*r**4 - r. Let t(x) = -11*x**2 + 17*x + 6. What is c*t(i) - 17*p(i)?\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 296, 652, 1150?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*m + 10*j - 5*j, 3*j = 4*m + 7. Suppose -2*u - m*y = 166, 11*y - 164 = 2*u + 15*y. Is u at most as big as -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-12) + (60\/(-24))\/(-5))*4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20400 and 390560?\nAnswer: 99592800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1189363761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -11*o**8\/112 - o**6\/60 + 7*o**5\/20 - o**4\/12 + 17*o**2 + 3. Find the third derivative of f(r) wrt r.\nAnswer: -1980*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -876*d**3 - 50 + 2*d**2 + 19 + 20 + 13 to q*d**2 + c*d + g + p*d**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from nuuun?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*p - 3*p. Let d(c) = -p - 2*c + 0 - 2*c. Let i(m) = m + 3. Suppose 0 = -86*f + 38*f + 672. What is f*i(k) + 3*d(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30280373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 5 = -5*a - 3*c, 4*c = 4. Suppose -4*p - 16 = 0, -3*p + 6 = -2*y - 6*p. Suppose -a*z + 5 = -y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97249 + 197 = -1277*w for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5) + 29 + -6 + 4 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52588018811 and -1.31.\nAnswer: 52588018809.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7274316 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 253.8 + -254.2. What is the nearest to n in 3, -0.7, 0.2, 3\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.0257\nAnswer: 0.1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -246, -605, -1204, -2043, -3122, -4441, -6000?\n\"Answer: -120*c**2 + c - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 10) in base 15?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0 - 1\/6*a**3 - a**2 + 1\/60*a**5 + 1\/24*a**4 + 0*a. Suppose 2*x + 2*z - 1 = 1, -5*z + 21 = -3*x. Give j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98273 - -0.2?\nAnswer: 98273.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1895898 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*l + 22 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16358562, 16358551, 16358540, 16358529, 16358518?\n\"Answer: -11*w + 16358573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 7*y + 6*y = -14, -8 = -4*s - 4*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 15 = -4*x, 38 = -5*b + 3*x. Let k = b + 4. Let i(l) = -l**3 - 7*l**2 - 9*l - 3. What are the prime factors of i(k)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 6298 = 5*t + 3*y, -4 = -y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 82.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 7:02 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*w = -w. Solve 4*n + 5*l = -27, 0 = -w*n + 5*n + 3*l + 24 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -48, -37, -12, 33?\n\"Answer: h**3 - 2*h**2 + 2*h - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 15*d - 10. Let k = 6 - 4. Suppose m - k*m + 14 = 0. Let g be j(m). Sort 2, g, 0 in decreasing order.\nAnswer: g, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (29 + -2)*(-15)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -4. Calculate the remainder when j is divided by 1\/((-14)\/(-12) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -2, 2, -2\/62553?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = q - 0*q + x, -q = -4*x - 9. Let k(a) = 3*a + 3. Let i be k(-2). Let o = 7 + i. Calculate the smallest common multiple of o and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 14.46420626?\nAnswer: 14.36420626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 - -36\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3599, -3780, -3961, -4142, -4323, -4504?\nAnswer: -4685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o - 3*o. Let z be 3 + -2 + 4 + o. Factor l**5 + 3*l**z - l + l**2 + l + 3*l**3.\nAnswer: l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-2)*(-12)\/9. Let q(n) = n - 7. Let k be q(d). What is the units digit of -6*-4*k\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90.9 + 90.7. Put g, -4, 7\/5, -10 in descending order.\nAnswer: 7\/5, g, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 11*x + 39. Give i(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -54*f**2 + 1389*f + 5629. Calculate y(-4).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 5, c: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (25870\/23283)\/((1\/(-9))\/1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y + 8. Let b be q(-6). Let z = b + 45. Let u = 683\/6308 + -1\/332. Which is bigger: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 15, 12, -7, -48, -117?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - 6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*i + 7*i - 10, 4*f + 10 = 2*i. Let b be 6 + (i - (5 - 2)). Let y = b - 3. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29462?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1363, 2716, 4061, 5398, 6727?\nAnswer: 8048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 3*n**2 - n**2)*(2*n - 3*n**3 - 2*n**3 + 0*n) - 9*n**5 + n + 2*n + 11*n**5 + 0*n**5 + n**5 - 2*n**5.\nAnswer: 11*n**5 - 4*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**33)\/n)\/(n*n**14)*n**(-6\/11)\/n*n**(-26)\/n assuming n is positive.\nAnswer: n**(-842\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 3*l**2 - 356*l - 3600. What is r(-11)?\nAnswer: -1378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -3)\/(-1 - (5 + -7)). Let d(c) be the third derivative of -1\/12*c**4 - 1\/105*c**7 + 0 + 3*c**2 + 0*c + 1\/60*c**6 + 1\/30*c**5 + a*c**3. Factor d(b).\nAnswer: -2*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/20*(-5)\/2. Solve -f*t - t - 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:34 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 1. Let r(t) = -t**2 + 6*t + 3. Let c be r(6). Let d be y(c). Suppose 5*n + 16 = d*n. Solve -4*w + n = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + (-5629)\/(-52)*28.\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 70, 82, 108, 154, 226?\n\"Answer: c**3 + c**2 + 2*c + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 51 - (-4 + 5 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/2*(-8)\/(-12). Suppose 0 = -m - s*m - 8. Calculate the common denominator of (1\/m)\/((-18)\/80) and -41\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/60 - q**4\/8 + 5*q**3\/6 + 11*q**2. Suppose 0 = -3*x - 11*x + 56. Calculate h(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/4 + 140499*l**2\/4 + 4935062499*l\/4 + 4934922001\/4 = 0.\nAnswer: -70249, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1523 + 16?\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3093460 and 44?\nAnswer: 34028060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5, a - x = -2*a - 5702. Let c be (2*2)\/((-18)\/a). Find the common denominator of 23\/66 and c\/(-24) + (-7)\/(-42)*-4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5 + 32 = 5*w, -5*w - 3*g = -24. Suppose 10 - 28 = -5*v - 2*a, w*a - 2 = 5*v. Solve 0*t - 2 = -t - 3*n, -v*t + 4 = n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 0*a**3 + 9 - a**2 - 13 - 1 + 4*a in the form d + u*a**2 + h*a + v*a**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c - 500 + 1000 - 500.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2465?\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-772 - 15*t + 772)*(4 - 3 + 2*t**2 - 5 - 2*t**4).\nAnswer: 30*t**5 - 30*t**3 + 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275 - -262 - (1 - 2)) + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/14*1\/6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/5)\/((-1)\/(-10)). Let k(z) = -z**2 + 12*z + 1. Let c be k(i). Suppose 4*m - c = 443. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237378562 to the power of 1\/2, to the nearest integer?\nAnswer: 15407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 1 = 135*k, 53 - 75 + 20 = 2*k + 2*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -57255, -57253, -57251, -57249?\n\"Answer: 2*u - 57257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 37*c**2 - 3*c - 4. Let l be m(-2). Round l to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1390, 1 in ascending order.\nAnswer: -5, 1, 1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 44018?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a - 2. Suppose j - 6*k + 10 = -3*k, 2*k = 3*j - 5. List the prime factors of f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 335, 3, 4, 17, -3 in descending order.\nAnswer: 335, 17, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k\/(k**(-1)*k))\/k))\/k)**(9\/2)*k**(6\/5)*k*(k\/(k\/(k*(k*k**(-2\/5)*k)\/k)))\/k)**50)**(-3\/4) assuming k is positive.\nAnswer: k**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*x + 226 - 775 = 0, -4*x = i - 163. Is 179 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 2\/3 (c) -7.7 (d) 0.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) 18 (c) 7761\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 1. Let q(w) be the second derivative of w**3 + w**2\/2 + 12855*w. What is 2*i(c) + 3*q(c)?\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 9. Let v be o(-9). Suppose 2*h - v = 34. Let b = h - 13. Calculate the smallest common multiple of b and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 29. Let j be ((-3)\/2)\/(3\/(-2)). Solve -m*h + 16 = j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*r + 534 = 2*b, -3*r = 6. Round b to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -923, -921, -917, -911?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 388*s - 771*s + 14 + 384*s. Determine y(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -18.4\nAnswer: -736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -170\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461833410?\nAnswer: 2, 5, 146183341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4567a (base 12) to base 5.\nAnswer: 10430132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36*3\/(18\/(-8)). Find the common denominator of 1*171\/l - -1 and -1 + (-1)\/((-44)\/(-14)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 5:59 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = i - 8*c + 3, -3*i = -2*c - 11. Solve 0*u + i = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofpuuapaup. Give prob of sequence ufa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.649 + -0.699. Which is the fourth biggest value? (a) 4 (b) 3 (c) -4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 2 + 3170*d**3 - d + d.\nAnswer: 3170*d**3 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 12858*d**2\/7 + 381015*d\/7 + 2845800\/7.\nAnswer: (d + 15)**2*(7*d + 12648)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118686, -118827, -119056, -119367, -119754, -120211, -120732?\nAnswer: -121311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*p - 68, -5*p + 12 = 2*u - 36. Let l be ((-12)\/(-14))\/((-1)\/u). Let w = 374 - 386. Do l and w have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 + 2*w + 1. Let a be j(-2). Suppose 0 = -3*u + 5*k - 60, -a*u = -2*u + 4*k + 60. Calculate the remainder when 13 is divided by 6\/(-4)*u\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j**4 + 8743*j**2 - 50035?\nAnswer: 16*j**3 + 17486*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-646*g**2 - 643*g**2 + 1934*g**2 + 89562*g - 647*g**2)*(4*g**2 - 5*g**2 + 0*g**2) as a + x*g + s*g**2 + u*g**3 + i*g**4 and give u.\nAnswer: -89562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 - -0.8. Let m = -20.7 - -18.7. What is the nearest to -1 in m, -2\/5, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1318802756 - 1318802756 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w**5\/3 + 11476*w**4\/3 - 824396*w**3\/3 + 18909836*w**2\/3 - 126261388*w\/3 - 67961920\/3 = 0. What is w?\nAnswer: -1\/2, 13, 31, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 25*q - 65*q + 3*q**3 + 22*q**2 + 18*q + 20*q - 2*q**3 - 39. Give i(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7235 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/620566 or -1\/40?\nAnswer: -11\/620566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20611246.\nAnswer: 2, 109, 94547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -992.59732 - -1012.5973197. Let t = 20 - f. What is t rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4))**(9\/7)*(q**(2\/33)\/q)\/(q\/(q*q**(-16)*q)))**30 assuming q is positive.\nAnswer: q**(-48700\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + 155?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2420*o - 221 = -2407*o, -3*v + 4*v + 5*o + 50 = 2*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 19*z + 7. Determine i(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o**2 + 5*o - 12. Let p be r(6). Let q = p - -452. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8 = -0*f. Let y(j) = 5*j**3 - j**2 + 2*j - 4. Let h be y(f). Suppose -h = -2*s - 2*s. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-873)\/485 - 234839\/(-5)?\nAnswer: 2, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -369220 to the nearest one thousand.\nAnswer: -369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -14, -0.3, 4, 5 in increasing order.\nAnswer: -14, -0.3, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 625231.755 to the nearest 100.\nAnswer: 625200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53707\/4 - -13503. Let k = -76 + n. Which is the biggest value? (a) 1 (b) k (c) 3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -28 in ascending order.\nAnswer: -28, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*z = -304, -7*y + 11*y - 344 = -4*z. Let r = y - 70. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/252 and 73\/11626300.\nAnswer: 104636700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34026 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/85 - 6\/17. Which is the biggest value? (a) -10 (b) l (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 5*j + 2. Let k be s(-5). Let q(m) = m + 2. What is the units digit of q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -521 or -522?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**3 - 5*n**2 + 4*n - 5. Let r(z) = -2*z**3 - 63*z**2 - 30*z + 26. Let x be r(-31). Let p(m) = -5*m**3 + 3*m**2 - 2*m + 3. Give x*p(s) - 3*o(s).\nAnswer: -2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 5*m**8\/336 - m**7\/14 + m**6\/12 + m**5\/6 - 5*m**4\/8 + 5*m**3\/6 + 18*m**2. Factor o(b).\nAnswer: 5*(b - 1)**4*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*c = -88*c - 486824. What are the prime factors of c?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and 8391416.\nAnswer: -243351064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156)*1)\/(-1*sqrt(12)*-1) + ((sqrt(143)*-2)\/sqrt(11) - (sqrt(1300)*3 - sqrt(1300))))*5.\nAnswer: -95*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 6*x - 71*x**3.\nAnswer: -71*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-130) + 3\/((-30)\/(-26)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609167281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 314*w - 227. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 42. Suppose -34*k - 32 = -38*k. Suppose -148 = -k*r + 668. Calculate the remainder when r is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*r + 56 = 0, 0 = 5*c + r + 83 - 7. Let j = c + 99. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-2925)*3*(-18)\/(-4)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -11*l. Suppose -3*r + 10 - 4 = 0. Differentiate -1 - 4*t**2 - 3*t**2 + l*t**r + 8 with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -3. Suppose -2*u = 1024 - 332. Calculate the remainder when 3\/(-12) - u\/8 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*w + 4*q, q - 6 = 5*w - 20. Solve 2 = 2*o - w*v, 0 = -3*o + 18*v - 15*v + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5258695026 rounded to the nearest 100000?\nAnswer: 5258700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + -2*(sqrt(320) + (-3*sqrt(320)*-2 - sqrt(320)) + 3) + -3)*-3)**2.\nAnswer: 62208*sqrt(5) + 3733776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 444 and 11?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(20)\/sqrt(4) - sqrt(5)) + -1 + sqrt(5) + 1.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*u + 6. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times -57?\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b**3 - 15*b**2 - 11*b + 7. Let m = 2 + 3. Let q(w) = -2 + 7*w**3 - m + 3 + 8*w**2 + 14*w - 8*w. Determine 6*d(r) + 11*q(r).\nAnswer: -r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in -218, 3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*w - 52 - 16, 3*x + 51 = 3*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((((z*(z\/(z*z*z\/((z\/(z\/(z*z**(-1\/14)))*z)\/z)))\/z)\/z)\/z)\/z)\/z*z)\/z*z)**(-10\/3)*(z*z**(1\/39))**(1\/30) assuming z is positive.\nAnswer: z**(8413\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/729 + 733\/1458. Determine b, given that b + 3\/2 - j*b**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/20147895 and 43\/435?\nAnswer: 20147895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -58, -96?\n\"Answer: -38*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/210 + q**6\/60 - q**5\/60 - q**4\/12 - 7*q**2. Let w(y) = 0. What is y?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 1050 = 8*h. Let t = h - -111. Calculate the lowest common multiple of 2 and 141\/15 - (t\/(-10) + 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.722585 + -2704540.\nAnswer: -2704524.277415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 11*p**2 + p + 9. Let u be w(-11). Let k be (-21)\/(-14)*((-17)\/(-3) - 3). Which is the nearest to u? (a) 2\/7 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-2))\/(-4))\/(8\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4866342 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 2*l - 1. Let y be z(-1). Suppose -3*u = y - 41. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -65*z**6\/6 + 35*z**2 - 49. Find the second derivative of r(s) wrt s.\nAnswer: -1300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 38. Let n be x(7). Solve n*d = 5*d + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -295 or -29?\nAnswer: -295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 391042890 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 15. Give p(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54571, 54567, 54553, 54523, 54471, 54391?\nAnswer: 54277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = l - 6. Let s(w) = -w - 4*w - 4 - 8*w. Let o(c) = -3*c - 1. Give l*o(b) + 2*s(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 16*m**2 - 17*m + 4. Let o be j(-17). Suppose 17*x = 2*x + o*x. Suppose x = -4*h + 2*b + 286, h - 5*b - 31 = 36. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119899*t - 239764*t + 119866*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-23)\/(-368)*((-2072)\/(-2))\/(-7)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 11*o**2 - 13*o - 38. Let l be u(-12). Let a be 26\/(24\/(-15) + 2). Let n = l + a. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3*4\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 + m**3 - 5*m**2 + 4*m. Let u be r(4). Let s = -7 + 3. Put -3, u, s in increasing order.\nAnswer: s, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/185? (a) -0.4 (b) -2\/3 (c) 1 (d) 29\/2 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.918 to one decimal place.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -3*d + 4*w, 2*d - 4*w = -3*d + 556. Suppose 4*j = -p + d, 0 = -2*p + 7*j - 3*j + 252. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5)*35\/4. Let k = n - -5. Which is the second smallest value? (a) k (b) -2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1099d (base 14) to base 13.\nAnswer: -15476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**3\/3 - 23*q. Let n(b) = -3*b - 2*b + 3*b. Give n(h(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -0.2506392761.\nAnswer: -2.7493607239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2700\/(-4725) - ((-40)\/21 - -2))\/((-12)\/114).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/6004 and -23\/108.\nAnswer: 162108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1162 divide 29367541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2358, -2, 0.5, 3, -0.4 in descending order.\nAnswer: 3, 0.5, -0.4, -2, -2358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-44)\/12 - -4)*-12. Let d = 67 + -467\/7. Let v = -4 + 3. Which is the closest to -1\/3? (a) d (b) z (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 4*m**2 + 5*m + 3. Let a be n(5). Let l be 46227 + (-11 + 2)\/a. Let q = l - 26224. Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-28) - (-1075)\/20 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/32, 2, 2\/15, 0.3, -10 in descending order.\nAnswer: 2, 0.3, 2\/15, -1\/32, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/9 != -16\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y - 5*y + 4*y. Let u(t) = -t**2 + 1. Let m(s) = 3*s**2 + 5. Let f(l) = m(l) - 5*u(l). Give f(d(v)).\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1641365.254 to the nearest one thousand.\nAnswer: -1641000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*g = -z - 11, -4*z = 2*g + 2. Let b be (-14 - (-3 - z))*(-1)\/1. Let c(p) = p**3 - p**2 - 2*p - 1. Let d be c(3). Is b at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140156629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 132940 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5302723 + 41?\nAnswer: -5302662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2757 - -1243. Let k = 3178 + s. Suppose k = 4*n + 3*x, 0*n + 2*n + 5*x = 818. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17895.7 + -17895.3. Let r be (4 - (2 + -1))*1. Sort -3, r, c, 7 in descending order.\nAnswer: 7, r, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**3 + 0*u - 8*u + 4*u - 3*u**2 + 21*u**3 + 6*u + 413 wrt u.\nAnswer: 150*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 2*o**2 + 3*o - 1. Let y be b(2). What is the second derivative of -2*m - 2*m + y*m**2 + 0*m wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -496 divided by 7774\nAnswer: -248\/3887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**7\/280 + 7*s**6\/120 - 3*s**5\/80 - 8*s**2 + 1. Factor a(g).\nAnswer: -g**2*(g - 9)*(3*g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164092801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2426, 4854, 7282?\n\"Answer: 2428*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 2*b**2 + 5472 - 5466 - 63*b**2.\nAnswer: -65*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*u = -4*u, 0 = 3*j + 5*u - 32. Let w be (-39)\/26*j\/15. Which is the closest to 1? (a) 3\/2 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*r - 172. Let j = 44 + r. Let f(n) = -3 - n + j + 1 + 2. Give f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -4.28. Let u = 4.5 + j. Let v = u + 0.3. Which is the second smallest value? (a) -9 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140096487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42066 - 42066.19239. Let s = l + 0.194. Round s to 4 decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + a**2 - 2*a. Let g be j(2). Let w be -10 + g - (-18)\/2. List the prime factors of 21\/w + 10*2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -5*y - 9 = w, -y = -v*w - 0*y + 15. Let n(x) = x - 2. What is n(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w = -91 - 69 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 6. Suppose y - 3*l + 4*l = 5, -5*l + r = 3*y. Let o = y + 8. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10053\/30159)\/(2\/27*3\/20).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*d, -d - 26 = -5*i - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*m + m + 37, 3*m - 77 = 5*g. Suppose -25*r + 12 = -m*r. Suppose r*n + 28 - 76 = 0. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -0.09, 0.7, 3\/4, -3\/2, 9 in decreasing order.\nAnswer: 72, 9, 3\/4, 0.7, -0.09, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 0. Let f(w) = -w + 7. Let j be f(g). What is the third derivative of z**4 + 2*z**2 + z**2 + 0*z**j wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -5, 16, 57, 124, 223, 360, 541?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*1\/12*-4.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, c: 2, t: 1, m: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -81, -6, 0 in decreasing order.\nAnswer: 2, 0, -6, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 - 362. Suppose -j = -4, 0*t - 5*t + 5*j + v = 0. Let g(d) = d**2 - 3*d - 3. Calculate the remainder when t is divided by g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -8415.6495.\nAnswer: 8434.6495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*(4*4*(sqrt(68) + -3*sqrt(68)*1 + 0) + -1))**2.\nAnswer: 2048*sqrt(17) + 1114128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1331365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3*u - 2. Let i be k(5). Suppose -i = -3*g - 2. Solve -z - 1\/2 - 1\/2*z**g = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*t - 316 + 28, -4*t - 516 = -5*g. Suppose d - g = -4*d. Sort 5, d, -2, -4 in descending order.\nAnswer: d, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 40401*p + 8430180.\nAnswer: 3*(p + 212)*(p + 13255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 2, m: 4, g: 1}. What is prob of picking 1 x and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 914232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -d + 26 - 7, -5*d = 3*x - 105. Let z be ((-3)\/2)\/(d\/(-64)). What is the tens digit of 167 - (z + -4)*(-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:47 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -34. Suppose -p + 4*k + 0 = 3, 0 = 5*p - z*k - 15. Calculate the greatest common factor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001157601 to 7 dps.\nAnswer: -0.0001158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12916.\nAnswer: 2, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14826224 <= 14826225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1598*q + 1370.\nAnswer: 1598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2280.5 + -2282.5. What is the second biggest value in -1, j, -0.2, -7, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.076145 - -1791.011145. Let y = 1784 - g. Let m = y + 0.035. Round m to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 17694*y.\nAnswer: -3*y*(y + 5898)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 2*-1 - (789 - 775).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g, 3*g = 4*c + 2*g - 48. What is the least common multiple of 3 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1. Let v(d) = -14*d - 2. Let u(n) = 4*c(n) - v(n). Let g be u(1). Let h = -9 + g. Put -1, 2, h in descending order.\nAnswer: h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**2 - 16*r - 11. Let a(f) = -5*f**2 - 15*f - 10. Let x(z) = 5*a(z) - 4*j(z). Let c be x(-10). Suppose c*p - 10 = 2. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**6\/1440 + i**5\/80 + i**4\/12 + 13*i**3\/3 + 10. Let b(f) be the third derivative of k(f). Factor b(x).\nAnswer: (x + 2)*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2606 = -56*q + 422, 28693*j - 28691*j - 4*q - 156 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7722\/10 + -4 + 3*(-3)\/45. Calculate the highest common factor of 88 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 7979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, 14, 3\/5, -208, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117000 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -9 (b) -1\/4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 154025407.1 and 0.1.\nAnswer: 154025407.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a (base 16) in base 7?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-15))\/(3\/(-15)). Let y = 0 - o. Let z be (-20)\/16*(1 - (0 - y)). Is z greater than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 - 254930*s + 764808 = 0. Calculate s.\nAnswer: -127468, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1082138.268 to the nearest 1000.\nAnswer: 1082000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 + 209. What is the remainder when j is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 13 + 9 + -13 - 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/32 - (-101)\/4. Suppose 4*i - 9 + 1 = -2*r, -3*r - 5*i + 15 = 0. What is the remainder when 19 is divided by r\/l - 33\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*i**5 - 1707*i**3 + i + 30497 wrt i.\nAnswer: -280*i**3 - 10242*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1968 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*f + 2. Suppose -28 = -2*k - f*j + 24, -2*k - j + 36 = 0. Let b = 35 - 21. Calculate the least common multiple of b and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10010220010210 - -111?\nAnswer: -10010220010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/478685514?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1*h)\/h**(1\/2))\/(((h**(2\/11)\/h)\/h*h)\/(((h**(-1\/7)\/h)\/h)\/h)))**(-2\/21) assuming h is positive.\nAnswer: h**(127\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3*s**2\/2 - 3*s - 1. Let o be q(2). Solve 0 = 5*j - o*b, -4*b = -4*j + b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318666?\nAnswer: 2, 7, 29, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*w = -120*w + 264. Let i(m) = -24*m**2 - 22*m**2 - w*m**2 + 71*m**2. Let q(l) = 318*l. Calculate q(i(h)).\nAnswer: 318*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76250529 to the nearest integer?\nAnswer: 8732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(1\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505939991 to the power of 1\/3, to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111111000000 + 11110?\nAnswer: -1010111110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:47 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*r + 0 - 2 = 0, -2*q + 5*r - 11 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/45 - (-266)\/(-18). Let z be 6\/(1 - (-9)\/f). Suppose 0 = 2*b - 3 - z. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -171 - 8b?\nAnswer: -22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-15)*(-15745)\/50384 + ((-2)\/12)\/(-1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1946 + 14982. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - -500. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v - 1. Let s(r) = 5*r - 2 - 3 + 6. Suppose -q = -4*u + q - 12, -4*u = 3*q + 32. Calculate u*s(t) - 3*y(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glccgggglguggoguggg. Give prob of picking 1 c and 1 o.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*z = -2*l + 8, 0 = -5*l - 3*z + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12 + 6167\/(-406) + 16.\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/63)\/(7\/((-378)\/(-45))).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:20 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -210, -324, -442?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159816 and 576.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 4*x + 24, 9 = 2*r + x. Solve -a - r = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*r - 43*r + 316*r.\nAnswer: 494*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 0.1, -83, -1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 - 71. Let l(q) be the third derivative of -1\/12*q**4 + 0 + q**2 - 1\/120*q**6 + 0*q + 1\/15*q**5 - 1\/6*q**3. Determine l(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5125 divided by -97\nAnswer: -5125\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 38. Put -1, -3, j in increasing order.\nAnswer: j, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*v = 109*v - 15250. Calculate the lowest common multiple of v and 671.\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3414212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*n - 29, x + 2*n = n - 4. Let d(r) = 21*r**3 + 7*r**2 + 7*r - 7. Let c(z) = -14*z**3 - 5*z**2 - 5*z + 5. Calculate x*d(o) - 7*c(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 - -11) + -7 + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 2*n. Suppose r = -n*r. Solve r*k - 5 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.61, 1\/3, 0.05, 2\/5?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5984 and 3740?\nAnswer: 29920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(500) - (sqrt(500) + (sqrt(500) - (-1 + sqrt(500))) + -5)) + sqrt(500) + (sqrt(500) - (0 + 0 + sqrt(500))))**2.\nAnswer: 160*sqrt(5) + 1032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/11)*((v*v*v**4*v*v)\/v)\/v)\/(v**10*(v*v*v**(-17))\/v))**(49\/5) assuming v is positive.\nAnswer: v**(6909\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -25. Let b = -161 + v. Let k = 58 + b. What is the biggest value in -1\/3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 6725 = 1625. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 6*m**2 + 8*m**2 + 56*m**5 + 3*m**2 + 1 wrt m.\nAnswer: 3360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 7*b + 3*b)*(31*b + 9*b + 10*b) to the form p + z*b + x*b**2 and give x.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c - n + 11, 4*c - 2*n = 28. Let s be (c\/1 - 2) + 5. Suppose -s = -2*q, -4*q - 1020 = -6*r + 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 253 and -493.\nAnswer: -124729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3 - 3)*(-173 + 49 - 110) - x + 4*x - 4*x + (-2*x - 2*x + 2*x)*(0 + 3 - 2) + 4 - 4 - x + 0*x + 2*x - 4*x - x + 8*x - x + (3 - 3 - x)*(-3 - 2 + 4).\nAnswer: 469*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycyh when four letters picked without replacement from {h: 1, c: 1, y: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8229, -31995, -71525, -126819, -197877, -284699, -387285?\n\"Answer: -7882*h**2 - 120*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, 11, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d + 320 = 65*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/3 - 4*f**3\/3 + 62*f**2\/3 - 56*f\/3 = 0. Calculate f.\nAnswer: -7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjy when four letters picked without replacement from ggjgjyggjbjgojgjjybj?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b - 374. Calculate the greatest common factor of 34 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*n**4 + n**3 + 64*n wrt n.\nAnswer: 2436*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11440411 (base 5) to base 6.\nAnswer: -2155544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 87 = -i - 0*i, -2*v = 5*i - 474. Let x = -67 + i. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(0 + sqrt(1088)))**2 - 2*(4*-1*sqrt(136))\/sqrt(8).\nAnswer: 168*sqrt(17) + 27204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -5*s + 114, 2*s + 2*r - 56 = 0. Let x be (-6*(-1)\/8)\/((-3)\/24). Let j be x*(5 - 16 - -7). Is s >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*q + 13 = 211*q. Solve q*y + 64 = 45*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*-3 + sqrt(6) + (sqrt(6) - 3*sqrt(6)*6))\/(((sqrt(3) - 4*sqrt(9)\/sqrt(3)) + sqrt(3) + 5*sqrt(12)\/sqrt(4) + sqrt(3))*-5))**2.\nAnswer: 338\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 1, -0.1, -5, 0.02 in ascending order.\nAnswer: -43, -5, -0.1, 0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/7)*f)\/f)**(-3\/17) assuming f is positive.\nAnswer: f**(-27\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 6, -5 in increasing order.\nAnswer: -7, -5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111221031210 + 1?\nAnswer: -111221031203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l\/((l\/(l\/(l**2\/l)))\/l)*l)*l)*l*l)\/l*l)**(-40)\/(l\/(l*(l*l*l**(4\/3)*l*l)\/l)*l**(7\/5)) assuming l is positive.\nAnswer: l**(-2356\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7122 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**4*o + 366*k**4 + 27*k**2*o - 17*o wrt k.\nAnswer: 72*k*o + 8784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5 + 944*y**4 + 4752*y**3 + 8572*y**2 + 6674*y + 1908 = 0.\nAnswer: -2, -1, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*b**5\/7 - 6794*b**4\/7 + 54940*b**3\/7 - 14778*b**2 - 54928*b\/7 + 110240\/7 = 0. What is b?\nAnswer: -3445\/6, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.45 + 4.450133. What is t rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7050 and 1833.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 89844*u.\nAnswer: 4*u*(u - 22461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + 0.66. Let u = h + -1.87. Let z = 0.1 + 0. Which is the nearest to z? (a) 2 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 + -84)\/(-3 + 9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:41 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2826\/855)\/(22\/(-40)) - -6 and 80\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4)*2)\/(226\/5876).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**4 - 5*w**3 + 1 + w**2 + 5*w**4 - 2*w**4 + w**4 as z*w**3 + i*w**2 + s + c*w + b*w**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 74\/29 (b) 0.076 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) + sqrt(95)*3 - sqrt(95)) + sqrt(95))\/sqrt(5) + (-2 + sqrt(76)\/sqrt(4))**2 - ((6*sqrt(95)*1)\/(sqrt(5) + sqrt(320)))**2)*4.\nAnswer: 4*sqrt(19) + 524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4990590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from mqoqiqqmqqmi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j - 25. Let r be y(-6). Let i be -3 - ((-12)\/4 + 6\/r). Suppose -i*v - 2*v**2 - 6 - 2\/9*v**3 = 0. What is v?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1024*f**3*u**3 - f**3 - 2021*f**2 - 3*u**4 wrt u?\nAnswer: -3072*f**3*u**2 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 + 607?\nAnswer: 5df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -467 divided by -3?\nAnswer: 467\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 - 720916*n**3 + 1441677*n**3 - 720762*n**3 + 4*n**2.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 15*f**2 - 13*f + 42. What is d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1190 and 3220?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4479204.\nAnswer: 2, 3, 23, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y**(-8\/3)\/y)\/y)\/y*y)\/(y*y**(-4))*(y**(-11)\/y)**11)**43 assuming y is positive.\nAnswer: y**(-17114\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235924576 to the power of 1\/2, to the nearest integer?\nAnswer: 65084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 + 16*t**2 + 103*t - 1303. What is z(10)?\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 25455?\nAnswer: -25460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 770\/396*((-4)\/35)\/((-95)\/(-950))\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, -1, -2, 3, -48 in decreasing order.\nAnswer: 3, 0, -1, -2, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -32\/186127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722\/13 + 2\/13*r**2 - 76\/13*r = 0. What is r?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 923*g*p - 3103*g - p + 3 wrt p.\nAnswer: 923*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32811*q*y + 6*y - 2209 wrt q?\nAnswer: -32811*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1*sqrt(1331)*3 - sqrt(1331)))*-3 - ((1*sqrt(1331) + 0)*5 + 2)**2)*-2.\nAnswer: 176*sqrt(11) + 66570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(30)\/sqrt(10) - sqrt(3)) - sqrt(3))**2 - ((-1 + sqrt(3))*2)**2.\nAnswer: -12 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2788 is divided by 126?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)*h**5*h**(2\/9)\/(h*h**(2\/11)\/h*h)*(h*h**(-1\/4)*h)**(-15)\/((h*h**0*h)\/(h*h**2)) assuming h is positive.\nAnswer: h**(-8663\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 87?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49777.8m in centimeters?\nAnswer: 4977780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 5*l**2 + 2. Let g be f(5). Let i = -111 - -159. Suppose -2*o + d + i = 0, -2 = -3*d + g*d. Solve 0 = r, 5*k = -0*k - 5*r + o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4, -5*h = -v - 961 + 225. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673 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: 2, l: 3, e: 2, g: 3, v: 1, y: 4}. Give prob of picking 1 v, 1 u, and 1 y.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6627 + 3*p**3 - 35*p**3 + 6627 + 7*p**3.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -8, 91, 224?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/30*2*1\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5\/9, 2\/99, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99 (base 14) to base 13.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, 4, -976, -7, -0.49?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/11)*(-192)\/((-1984)\/(-62)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 1\/20*u**5 + 0 - u - 1\/6*u**3 + 1\/3*u**4 - u**2. Suppose -4*k = -4*s - 32, k = -s + 4*s + 16. Give x(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4654*-0.4\nAnswer: -1861.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 6\/13*o**5 + 40\/13*o**4 + 1\/39*o**6 + 240\/13*o**2 - 43 + 224\/13*o + 400\/39*o**3. Suppose q(p) = 0. What is p?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30700855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-28) - (-1942)\/57540*3 and -63\/22.\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2794, 26\/3, 6\/83 in ascending order.\nAnswer: 6\/83, 0.2794, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30904.31m in nanometers?\nAnswer: 30904310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105 - 1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 19*n**2 + 14*n + 3. Let j(u) = -6*u**2 + 4*u + 1. Determine -2*g(h) + 7*j(h).\nAnswer: 2*h**3 - 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 287*r**2 + 21*r - 69. Is k(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.32531 to one dp.\nAnswer: 44.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3748*v - 1192 + 645 + 547.\nAnswer: 3748*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8162, -16323, -24484, -32645?\n\"Answer: -8161*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 520986.13 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15321 is divided by 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3219, -3222, -3227, -3234, -3243, -3254?\n\"Answer: -c**2 - 3218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -o**4\/24 + 5*o**3\/6 - o**2. Let r be s(6). Let v(d) = -d. What is the units digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(99) - (sqrt(99) - (sqrt(99) + 0))))**2 - sqrt(99)) + -4.\nAnswer: -27*sqrt(11) + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2094 + 1221. Suppose z = 3*z - 5*d - 30, 2*d + 17 = z. Calculate the remainder when (4\/3)\/((-12)\/m) is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.377 + 0.377. Let h = r + 30. What is the third biggest value in -0.07, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40*d**3 + 4236*d**2*w**3 + 1150*w**3 - 8*w + 5 wrt d.\nAnswer: -120*d**2 + 8472*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-15*(-9)\/15)\/13)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(6\/16*-2). Suppose 0*b - 2*b + r = 0, -2*b - 7 = -5*x. Solve -2*t - 2 = 2*q + 10, 0 = -5*t + x*q - 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/15 + 7*n**5\/25 + 13*n**4\/10 + 23*n**3\/15 + 3*n**2\/5 - 381. Let h(r) = 0. What is r?\nAnswer: -1, -1\/2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 272 and 9653552?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.4 (c) -2533\/2 (d) -0.5 (e) 0.3 (f) -17\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95966779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:25 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-y - 2 + 2)*((1 + 0 + 0)*(-3 + 2 - 1) - 1 + 4 - 2 - 2 + 1 + 0).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -220*b**3 - 3095*b**2 - 10990*b - 735 = 0. What is b?\nAnswer: -7, -3\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**4\/12 - m**3\/6 + 17*m**2. Let p(h) = 1 - 5*h - 2*h + 0*h. Determine 5*a(y) + 7*p(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18521*t + 120 = 18533*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -169 times 125.9\nAnswer: -21277.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -340*o. Let a(q) = -2*q**2. Give a(p(d)).\nAnswer: -231200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9 = 1, -4*r - 5*b + 3184 = 0. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -10229890, -10229891, -10229892, -10229893, -10229894?\nAnswer: -10229895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - sqrt(425)*2) + sqrt(425) + (sqrt(17) - (3 + sqrt(17)))*-2)**2 - (sqrt(187)*2*5)\/(sqrt(66)\/sqrt(24)).\nAnswer: -20*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72, 148, 224, 300?\n\"Answer: 76*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20385.42 seconds to nanoseconds.\nAnswer: 20385420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 288 + -272. Suppose x = 12*o - 32. Solve -o*k = 2*u + 1 + 15, 2*k + 10 = -2*u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w + 263. Give g(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:05 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10032 (base 6) to base 11.\nAnswer: -a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7832 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128039?\nAnswer: 61, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -98, -1, 2486, 2, 3 in ascending order.\nAnswer: -98, -4, -2, -1, 2, 3, 2486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12037 and -40.\nAnswer: 481480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31442 or -31475?\nAnswer: -31442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3*u**4\/4 - u + 8. Differentiate o(k) with respect to k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32423 (base 5) to base 10.\nAnswer: -2238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/15 (b) 9\/13 (c) -8 (d) -0.4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2563201\/5*a + 0 - 1\/5*a**3 + 3202\/5*a**2 = 0 for a.\nAnswer: 0, 1601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 4 (c) -0.462 (d) 0.3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 - 112*h - 206. Let w be o(-26). Solve w - 6 = u + 2*y, u - 2*y + 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001111010110111101 (base 2) to base 11.\nAnswer: 69a091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(1053)) + -4)**2 + -1*4*sqrt(1872) + -2.\nAnswer: -336*sqrt(13) + 16862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 5*f**2 - 4112 + 8221 - 4109 - 2*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -27, -19, 25, 117?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 - s + 3. Let v be (-12)\/(-30) + (-2)\/5. Let x be t(v). What is the greatest common factor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1953 and -91\/8?\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-1 + (-10 + 2 - -5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2652*w**3 + 12 - 12 + 31*w**2.\nAnswer: 2652*w**3 + 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -4\/37, -0.4, 69.9, 3\/5 in descending order.\nAnswer: 69.9, 3\/5, -4\/37, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7486542 divided by -21.\nAnswer: -356502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = 2*h - 18*f + 16, 5*h + 2*f = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 + 3*h + 160 + 159.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1535*p**3 + 7*p**2 + 78*p - 13. Let c(v) = -256*v**3 - v**2 - 12*v + 2. What is -13*c(g) - 2*w(g)?\nAnswer: 258*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 13. Let b be y(-7). Let q(d) = 1793*d**2 + 1 + 1 + 306*d**2 + 5 + 2*d - 5. Is q(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -12, -2, 114, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6078 and -0.4.\nAnswer: -2431.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1065823\/4263324 + 2\/1065831. Let 5\/2*u - 4 - p*u**2 = 0. Calculate u.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48419 (base 13) to base 16.\nAnswer: 205a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 57*u - 52*u + 110*u.\nAnswer: u + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/3 - 68128*g**4\/3 - 386944290*g**3 - 16240012348*g**2\/3 - 28997798593*g\/3 - 4639516996 = 0.\nAnswer: -34057, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*o - 141*o + 8*o**3 + 4*o**3.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 10*p**2 - p - 12. Let h be i(-8). Let n = 140 + h. Solve 5*s - n - 7 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-9)\/(207\/(-23))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 550019613 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 12. Let w be b(-12). Let l = 8 - w. Calculate the remainder when 29 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63402*w**4 + 2 + w + 126800*w**4 - 63406*w**4 + 4*w**3 + 5*w**2 to the form s*w**3 + x*w**2 + m + d*w + t*w**4 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let d = -3485 - -3486. What is the nearest to d in b, 33, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 378297.8 kilograms?\nAnswer: 378.2978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y - 28. Let d be v(-9). Solve -30*f + 13 = -d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783 times -0.028?\nAnswer: -49.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7.7 (b) -2 (c) 0 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597362 is divided by 126?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -5*k**9\/504 - 41*k**8\/56 - 1003*k**5\/30 - 15*k**2 + 41. What is the third derivative of y(u) wrt u?\nAnswer: -600*u**3 - 14760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136611594 - -0.75\nAnswer: -136611593.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 3. Let f be t(5). Suppose 3*i - 756 = -3*u - 2*u, 0 = -4*i + u + 985. Let s = i + -2715\/11. Sort f, -2, s.\nAnswer: -2, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:46 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 797*c + 20 = -802*c, c = -5*o - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-3)\/(-6*(-2)\/(-8)). What is the nearest to 0.1 in -0.5, -1, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*w + 122 = -785*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76284 is divided by 1144.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/162)\/(5\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-8 - (-9 + 3) - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2472*r - 2149*r + 1425*r + 1.\nAnswer: -3196*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + (-2 - (-6 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*p + 1344, -p = 5*s - 1631 - 49. Calculate the smallest common multiple of s and 56.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 - -1.2. Let x = t - 0.2. Let y = 0.0061 + 0.3939. Which is the closest to 2\/9? (a) x (b) y (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*u + 1369 = 3*f - 138*u, -f - 2*u + 463 = 0. Calculate the remainder when f is divided by 95.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1002 + -113. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(4\/6) - -9. Let d be 3\/z - 165\/(-6). What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/36 + ((-620638)\/(-277576) - 2). Let q = b - -3\/314. Are 1 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/143 in -1, -3, 225, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206\/3 + 68. Let h be (1*-2)\/(((-120)\/80)\/(9\/(-6))). Sort h, -8, b, 2\/3.\nAnswer: -8, h, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -158, -1655, -5720, -13637, -26690, -46163, -73340?\n\"Answer: -214*t**3 + t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312784.\nAnswer: 2, 11, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*h - 60, 2*g - 6*g + 4*h = -88. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/20 and -39\/18839672.\nAnswer: 94198360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3004375 weeks?\nAnswer: 181704600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 - (-115)\/25) + 0 + 202910\/25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d - 3. Let x = 1 - 7. Let w(r) be the first derivative of -r - 541. Give x*w(i) + 2*j(i).\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75.9994 + 76. What is r rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q + t - 5 = 0, 5*q - 5*t - 35 = 0. Suppose 155 = q*l + 152. Suppose 9 = -10*i - l. Which is the nearest to 0.4? (a) i (b) -2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137802 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.4038 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17719048, -17719050, -17719052, -17719054, -17719056, -17719058?\nAnswer: -17719060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 55\/9 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 46*a**2 - 1594*a + 99. Calculate z(-42).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 4. Let m be s(13). Calculate the common denominator of -43\/6 and -1 + 3 - (-265)\/m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35274 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -13\/4, 2.38 in descending order.\nAnswer: 2.38, 0.1, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 5 = -57 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - 7*w + 2*w)*(-4 - 3 + 5) + (2*w + 4*w - 4*w)*(-37 + 5 + 18).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -17 + 29. What is the hundreds digit of 20232\/96 - 1\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -205*s**2 + 499*s**2 - 292*s**2. Let h(u) = -243*u**2 - 9. Let o(f) = -121*f**2 - 5. Let v(i) = 5*h(i) - 9*o(i). Determine v(w(l)).\nAnswer: -504*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a9964 + 444?\nAnswer: 9aa2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2254 - -155252?\nAnswer: 152554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59370.\nAnswer: 2, 3, 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7421944t in micrograms?\nAnswer: 742194400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/4 + 7\/(-28). Let i be (110\/(-33))\/(c\/3). Solve -25 = -i*x + f, -3*x + 5 = 2*x + 3*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**5 + 4*d**4 + 6*d**3 + d**2 + d. Let c(u) = -u**5 + u**2. Let j(s) = -6*c(s) - 2*o(s). Factor j(k).\nAnswer: -2*k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1987*g*x + 154*g - 17*x**2 + 649 wrt x.\nAnswer: 1987*g - 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 5041357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4 - 6) + 2 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -29. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**2\/9 + 496*u + 72848 = 0. Calculate u.\nAnswer: -942, -174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 578954 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 23, 3\/7, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-466)\/1)\/(-10 + (-8 - -7) - -9). Is 1621\/7 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 19.9\nAnswer: -7.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.3 + 9.3. Put -0.3, 3\/5, -2\/7, t in increasing order.\nAnswer: t, -0.3, -2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 34, 5, 0.\nAnswer: 0, 3, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (68550\/61695)\/(-5*2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-6)\/y**6)\/((y*((y*y**(2\/9))\/y)\/y)\/((y\/(y**(3\/10)\/y))\/y)))**(1\/9) assuming y is positive.\nAnswer: y**(-1037\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-4) - 274\/8. Let r = t + 55. What is the greatest common factor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 7, -2, -5663 in ascending order.\nAnswer: -5663, -20, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 9*o**5 + 30*o**4 + 37*o**3 + 20*o**2 + 4*o = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.1, -4, -242943 in ascending order.\nAnswer: -242943, -4, -0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z + 4*p + 11, -3*p = 4*z + 5. Let j be -26 + -2*z\/2. Which is smaller: j or -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14913 + -14932.557. What is c rounded to 1 dp?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l - 2. Let v be g(-6). Suppose -6*t + v*t + 118 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -195 - -335. What is the lowest common multiple of s and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1299928*i**3 + i**2 + 4*i + 3. Suppose 2*o = -b - 2 - 3, -3*b = -o + 1. Let g be k(b). Let j = 857928 + g. What is j rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 39 - 2 - -31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/8*-2*(-4)\/(-6). Let r be 2\/(-7) + (-12)\/105. What is the nearest to -1 in -30, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 58. Let f be s(16). Let g be (f\/12)\/((-3)\/(-18)). Which is the third biggest value? (a) g (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 505135061 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98.3 - -98.2999203. What is m rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 3)*(0 - 1 - 5) + (-2 + 4 - 1)*(-2 + 3 + 1))*(-11*t**4 + 0*t**4 - t**4).\nAnswer: -96*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -45, -1178, -3 in ascending order.\nAnswer: -1178, -45, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1696*g*k**5 + 1504*g*k**2 + 3*g - 4*k**4 wrt k?\nAnswer: -101760*g*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(((r\/(r*r\/(r\/r**(-1))*r))\/r)\/r)))**(-13))**33)**(2\/15) assuming r is positive.\nAnswer: r**(572\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 8. What is v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(180))**2*4.\nAnswer: -2896 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -244 and 192048186666?\nAnswer: 192048186910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*l - j - 52, 0 = -2*l - j + 24. Let z = -6 + l. Solve 4*n + z = 2*a, 4*a = 4*n + 4 + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*d = -4*d + 663, 4*d + 12 = 0. Calculate the remainder when (-22)\/(30\/p - 4\/63) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crdrcggzdgccrgcrxgcc. What is prob of picking 2 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -62. Suppose -5 = -4*u + p. Calculate the greatest common factor of 14 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408 and 23613?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -10\/17, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 16*r**2 + 13. Is a(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 less than -4675?\nAnswer: -4672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 30 - (5 + (1 - 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 9218.\nAnswer: -18436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4136955*q**3 + 5*q - 52641229 wrt q?\nAnswer: -12410865*q**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 4.4. Let c = -239.06 + 242.06075. Let u = c + h. Round u to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 356569 - 1051.959.\nAnswer: 355517.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 2*o - 15*o**3 + 14*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3755566422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c - 12 = 4*f, 4*c + 15 = -5*f. Let n be f - (-4)\/(4\/5). What is the units digit of (-1)\/(n\/(-86)) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 + 61 = 3*d. Suppose 0 = 3*g - d + 35. Solve 0 = -4*p + x + 23, x + 4 = 5*p - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 58. Let q(a) = 261*a - 256. List the prime factors of q(g).\nAnswer: 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 0*z**2 + 7*z + 8*z - 5*z + 9. Suppose 6*f - 3 = -3*x - 39, 0 = -3*x + 12. What is a(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9855199\/5 or 1971040?\nAnswer: 9855199\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(208\/24 - 10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4\/7 (b) -1 (c) -324 (d) -0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71a (base 16) in base 9?\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -148 - -152. Is i smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000100111 - -111010?\nAnswer: -111111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2 + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/6*(-15 - 5859\/(-441)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9041629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -182971120810074 - 2\nAnswer: -182971120810076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/10*8\/60*-9. Let g(t) = t + 2. Let x be g(0). Let i be (10 + x)*9\/4. Calculate the greatest common divisor of i and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 128 = -4*k + u, 0 = -u + 4. Let v = -79 + 144. Let y = v + k. What is y rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2368246\nAnswer: 3\/2368246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r + 1. Suppose -350 - 42 = 7*d. Let v = d + 162. Let m = v + -104. Give g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 69. Calculate the highest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let z(h) be the first derivative of 28*h**3 + 16. Determine c(z(x)).\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let q be ((-2)\/(-2))\/(4\/(-100)*-5). Find the second derivative of o + m*o - q*o + 2*o**4 wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430798867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-396)\/27) + 5\/(-21)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -242241.\nAnswer: -242236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 6. Let j be l(6). Suppose -5*s = -j*s - 155. Suppose -3*n - k + 18 = 0, 2*k = -n - 4*n + s. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 240\/45*12\/32. Sort m, -48, 3, -0.5.\nAnswer: -48, -0.5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175) + 1)*5)**2 + sqrt(14)\/(sqrt(98)*-1))*1.\nAnswer: 1749*sqrt(7)\/7 + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 77. Let v(u) = u + 462. Let q(z) = 6*r(z) - v(z). Let a(g) = 2*g**2 - 7*g - 815. What is a(q(l))?\nAnswer: 2*l**2 + 7*l - 815","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccncnnn. Give prob of sequence nn.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 21 = -2*p. Let y = p - -19. What is the greatest common factor of 60 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111002 - -102202211?\nAnswer: 111020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {c: 2, d: 2, m: 3, y: 6, j: 1, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*k = -3, z - 6*z - 3*k - 24 = 0. Let t(c) = -c - 1. Let h(j) = 2*j + 2. Let w(d) = z*t(d) - 2*h(d). Differentiate w(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5819*y**2 + 18*y - 3. Let h(t) = -634270*t**2 + 1968*t - 328. Let i(x) = 3*h(x) - 328*q(x). Let c(a) = -2*a**2. Determine c(i(r)).\nAnswer: -67791368*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*r + 7*r - 19*r - 4*r as x + o*r and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 11*t - 3. Is i(-5) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 21 = j - 4*j, -r = -j - 3. Let f = j + 8. Suppose f = x - 9. Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**2 + 3. Let x(h) be the third derivative of h**5\/60 + 63*h**2 - 9. Determine -a(f) - 4*x(f).\nAnswer: 4*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p\/((p**(-17)*p)\/p))\/p)\/p)\/(p\/(p*(p*p**0*p)\/p)))\/(p**(-2\/15))**1)**(2\/7) assuming p is positive.\nAnswer: p**(544\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 22 = 4*o, 7 = 2*q - o - 0. What is the least common multiple of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5991449 is divided by 599142?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 36492.74s?\nAnswer: 36492740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**4 - 7*l**4 + l**4)*(34 + 2 - 2).\nAnswer: -136*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.67735196 - -1.327353. Let v = l - 0.65. Round v to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 548\/91 - (25\/35 - 1). Find y such that -48\/13*y**2 + 0 - q*y**3 - 8\/13*y - 42\/13*y**4 = 0.\nAnswer: -1, -2\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110067230 by -13.\nAnswer: -8466710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 6*w - 3. Let v be n(-6). Let q be (14\/(-2))\/((-18)\/18). Let t = q + v. Solve 2*g + 12 = 4*c, -t = -4*g + 4*c - 3*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -64. Differentiate -25 - 24 + y - 3*v wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144*-510.\nAnswer: 73440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.46 + 0.16. Let x = 26 + -105\/4. What is the nearest to -1 in -1, b, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 * 402752\nAnswer: 20943104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173.05*-22057.\nAnswer: 3816963.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evx when three letters picked without replacement from {v: 2, q: 1, b: 1, x: 1, e: 2, k: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-3)\/(-6) + 3 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9376106, -9376107, -9376108?\n\"Answer: -w - 9376105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 228 = k, -4*c + 144 = -2*k - 80. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, 2680, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, 0, 0.2, 2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2 - (19 - 27)) + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.3. Let s = k - 0. What is the closest to -1 in 3\/8, 2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*a - 656*a - 32560 = 569*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + 35. Suppose -389*s + 162163 = -107718 + 25200. What is the greatest common factor of s and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 2\/9, 1.322, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -25, -41, -61, -85, -113?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 881 + 75*p - 881 in the form l*p + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/15 + 190*k**2. Let s(i) = 0*i - 3*i + i. Determine o(s(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -115 (b) 1\/3 (c) -11 (d) -4 (e) 1.3 (f) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 20*w + 105 = 0. Let i = -31 - -43. Let d = w - i. Solve d*v - 2 = -v - 2*l, 17 = 4*v + 5*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 55 - 100 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**3 - 852*v**2 + v + 222. What is q(-213)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15866518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyfuyyfyfufy. Give prob of picking 1 f, 1 u, and 1 y.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 522, 1406, 2680, 4344, 6398?\nAnswer: 8842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 101987 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y - 16*y - 27*y - 3 + 7*y as x*y + s and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/40)\/((-4970)\/1775).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) - (sqrt(120) - sqrt(120)*-2))*3)\/(1*sqrt(96)) + -5)**2 + 0.\nAnswer: 30*sqrt(5) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + 18)\/40 + (200315\/(-40))\/(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 3*r + 3*r)*(4*r - 4*r - 2*r) - 3*r**2 - 2*r**4 + 3*r**2 + 3*r - 6*r**4 - 3*r.\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*y**4 + y**3 - 20*y**2 - 8*y.\nAnswer: -768*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-6)\/4) + (-112)\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5, 4, 1821, -29, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 118*t**2 + 1. What is n(-1)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/((-323)\/(-2)))\/6*-9?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2664 - 1007. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(23\/(-4))\/23?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/27)\/z*z)\/z*(z\/z**(-26)*z)\/z assuming z is positive.\nAnswer: z**(703\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (5 - 26) + 3 + 48.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -982041*c**4 + 565588.\nAnswer: -3928164*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1940 + -542. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31\/52? (a) -1 (b) -1\/4 (c) 2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 2872.\nAnswer: -225\/2872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 451, 1939, 4459, 8011, 12595?\nAnswer: 18211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*u = -0*g - 10, 2 = -u. Solve 3*f = 3*v, -2*f = v - g*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -150. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 740*m - 23671. What is r(32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*n = 63966, 5*k = 30*n - 34*n + 79942. Does 82 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 802 and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-55))\/((-22)\/(-110)). Let u = -3 - -4. Let p be 3\/(-9) + u\/3. What is the nearest to p in 0.3, 0.4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1362 - 332 = 0. Let i be 80\/60*(-45)\/(-4). Suppose -20*g + i*g + o = 0. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (410960\/3736)\/(6\/(12\/(-4)))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -15. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 1534, 3398, 5988, 9298?\nAnswer: 13322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + -60. Let i be ((-33)\/(-6))\/((-17)\/a). What is the fourth biggest value in -3, i, 1\/4, -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21571, 3\/7, 135, -2\/9 in ascending order.\nAnswer: -2\/9, 3\/7, 135, 21571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - 4 - (-2 + -28) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 - (5 - (9 + -7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1663 - -2468. What are the prime factors of h?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 488 + -425. Suppose 0 = -2*y + 5*z + t, 91 = 3*y + 3*z + 28. What is the remainder when y is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215178 is divided by 193?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 2. Let b(f) = f**2 + f - 13. Let a be b(-7). Suppose 0 = -3*j - c - 13, -4*c - 2 - a = 5*j. Calculate p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 657593956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -447983661\/782 - -572869. What is the common denominator of 77\/414 and q?\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76003 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -349 and -1329?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**2)\/a*a*a)**(-4\/7)\/(a**(-2\/3)*(a\/a**5*a)\/a*a))\/((((a**3\/a)\/a)\/a)\/(a**(-4)*a)*(a**(2\/3)*a)**(-3)) assuming a is positive.\nAnswer: a**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, l: 4}. What is prob of picking 4 m?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 330 = 10*h. Calculate the remainder when 151 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {o: 4, z: 2, q: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 78. Let v(m) = -y*m**2 + 7*m - 70 + 76 + 5*m**2. What is v(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7043 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**10)**(-46))**17 assuming n is positive.\nAnswer: n**(-9384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -593?\nAnswer: 134\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -4479.\nAnswer: 7\/4479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 398088 = -59*n + 63*n, 4*n - 398104 = 5*t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t. Suppose 4*j + 9 = 1. Let r = -0.5 + 4.5. Sort j, t, r in increasing order.\nAnswer: j, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:11 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7515\/(-1670)*2\/12*(-8)\/3. What is the third smallest value in 1\/10, c, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145556989.\nAnswer: 307, 474127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1583, 6141, 13679, 24197?\n\"Answer: 1490*b**2 + 88*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -95, -304, -711, -1382, -2383?\nAnswer: -3780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 14.\nAnswer: -1, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 2:55 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55189 = 36*b + 57025 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148 - 1315269.\nAnswer: -1315417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.18 + -0.38. Let w = 1.2 + n. Suppose 0 = -p + 7 - 2. Which is the closest to w? (a) -5 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1888)\/128)\/(15\/16 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150438.26 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 3*n - 24 + 9, 4 = 5*v + 3*n + 16*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111001 (base 2) in base 15?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 15*f + 330. Let r(h) = -2*h - 45. What is the remainder when 60 is divided by r(f)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 22 = 22. Let v be (2 - 0) + d\/((-33)\/6). Solve g = 3*x - 19, 0 = v*g - 2*g - 2*x + 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34045206 (base 7) to base 5\nAnswer: -1223441043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/84*-7*(-4)\/(-60)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) + (-56)\/(-63). Let v be -1 - -2 - 7\/2. Sort v, 1\/3, a.\nAnswer: v, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 89 + 47 = 0. Let x be (v\/(-20))\/(18\/(-10)). Put -0.3, 9.9, x in decreasing order.\nAnswer: 9.9, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4454531 - 5?\nAnswer: 4454522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 83.\nAnswer: -8\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*m + 3*x, -2*m + 4*x = -x + 7. Let t be m\/1*(-4)\/(-8). Put 6, t, 1\/8 in descending order.\nAnswer: 6, t, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 5. Let w be s(16). Let a = w + -23. What is the tens digit of (-6 + a)*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 16*i**2 + 57*i + 3. Calculate s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 434631.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 + (-50 + 10 - -66) + -70?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2348297 - -197.82.\nAnswer: 2348494.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + (-10 - -30 - 22) + (2 - -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10881\/5 + -2149. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/10 + c**4\/12 - c**3\/3 - 3*c**2 + 139*c + 1. Give z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/5 + 192684*b\/5 + 4640890482\/5 = 0. Calculate b.\nAnswer: -48171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -85630 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6886, -6891, -6896, -6901, -6906, -6911?\nAnswer: -6916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 460 = -2*g - 464, -2*g = -w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 4*m**2 - 4. Let p be w(4). Suppose j + 0 - 2 = 0. Let r be (j + -4)*(-5)\/2. Put -1, p, r in decreasing order.\nAnswer: r, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11086 is divided by 11072?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-108))\/(17\/255))\/(5\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -51. Which is smaller: -1\/91 or f?\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7263 and 270?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 242648 < 242686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21515 and 715.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29557 + -29558. What is the fifth smallest value in -1\/3, h, 2\/9, -2\/3, -5\/52?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.2676\nAnswer: -0.25352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/3))**(-48))**(8\/9) assuming o is positive.\nAnswer: o**(-256\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 230447734 and 3529834?\nAnswer: 1613134138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-156)\/65*400\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:55 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*((sqrt(700)*1 + 2)*1)**2.\nAnswer: 960*sqrt(7) + 16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 29*r**3 - 17*r. Let s(a) be the third derivative of -a**6\/24 + a**4\/8 + 13*a**2. Calculate 34*s(j) + 6*w(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (34 - -1)*(8\/10)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424 divided by 64.\nAnswer: 53\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 15 - 11, 5*g - t - 31 = 0. Let l(k) = -k**2 + 11*k. Give l(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15028211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u + m, 0 = 4*u - 0*u + 2*m - 36. Solve 0 = -2*b + 4*b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 19 = -3*d. Let f = d - -9. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 70 in descending order.\nAnswer: 70, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 4\/66577511?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552496 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:42 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 - 8*t**4 - 8*t**3 + 7*t**3 + t**3 wrt t?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 13 = -5*f + a, 3*f + 3*a + 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -40, -5, 44, 107, 184, 275?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 279030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.03 - 0.03. Let r = 37 - k. Let n = -21 + r. What is the second smallest value in 0, n, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -2, -1, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -663*l**2 - 32*l**3 + 666*l**2 + 0*l**3 to h*l**3 + v + y*l**2 + w*l and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrqqqqqqqqq. Give prob of sequence rq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41466144 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 65 = 4*d - 8*d, -3*d + 5*j = -75. Let r(a) = -8*a - 216. What is the remainder when r(-34) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 2*u - 7*u**4 + 3*u + 3 + 8*u**4 - 4*u as m*u + t*u**2 + z*u**3 + x*u**4 + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*z, -z + 2*z = -b. Suppose 5 = -5*f - z. List the prime factors of f + (-9)\/(-3) + 166.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144736.7g in tonnes?\nAnswer: 0.1447367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-8\/3)\/u*u)\/u)\/(u**(-22)*u))\/(u**10\/(u*u\/((u**24\/u)\/u*u)*u)) assuming u is positive.\nAnswer: u**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1001)\/(-65) + (-20 - -11))\/((-2)\/(-5)). Solve 0 = b + 3*h + z, 8 = -b - 2*b + h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -25*a**4\/24 - 13*a**2. Let g(l) = -2*l. Give g(p(y)).\nAnswer: 50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10163*z - 8031 wrt z.\nAnswer: 10163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Suppose j + 6 = -2*j + 2*z, 0 = -r*z + 12. Suppose j = 2*k - 4*k + 2. Does k = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 3*a**2 + 6*a - 5. Let z(t) = -6*t**3 + 4*t**2 - 7*t + 6. What is 7*r(g) + 6*z(g)?\nAnswer: -g**3 + 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, -62988, 418, 0.\nAnswer: -62988, -2, 0, 4, 5, 418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 274535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 299 - 298. Let z(l) = -2*l - 1. Let n(h) = -1. Give v*z(m) + 5*n(m).\nAnswer: -2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.5, -2, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-499)\/(-4)*13 - 246\/(-984).\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 9. Let c be m(-7). Let s be c*(3\/6 - -2). Suppose -27 = -s*q + 3. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (63\/72 - (-1)\/8)*0. Solve s - 5 + 0 = y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9485*s**3*w**3 - 17*s**3*w**2 + 2*s**3*w - 2*s**2*w - 2121*s**2 - 453*w**3 - 336*w**2 wrt w?\nAnswer: 56910*s**3 - 2718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.035432, 0.4, 1\/4.\nAnswer: -0.035432, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12)\/(-30) + 1314\/15?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.441, 5, 0.1, 13 in descending order.\nAnswer: 13, 5, 0.1, -0.441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973885 is divided by 103888?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1060, -1987, -3114, -4441?\n\"Answer: -100*l**2 - 627*l - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42640 (base 9) to base 15\nAnswer: 8569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d. Let p(g) = -4*g**2 - 19*g. Give p(u(l)).\nAnswer: -100*l**2 - 95*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*k**2 - 50315*k + 3225.\nAnswer: (k - 645)*(78*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 1. Let b(s) = -3*s - 2. Calculate -b(u) - 2*o(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*g - 105*g + 209*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 15*f = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t + 11. Let v be f(0). Let q = v + -4. Solve -4*j = 5*p - 5, 2 + q = 2*p + 3*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -20?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-224))\/(2\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 9*d**3 - 5*d**2 + 3*d + 3. Let l be 350\/45 + (-4)\/(-18). Suppose -v = l - 3. Let b(z) = 5*z**3 - 3*z**2 + 2*z + 2. Calculate v*b(i) + 3*x(i).\nAnswer: 2*i**3 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8885 by 18.\nAnswer: 8885\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 757.5758 millilitres?\nAnswer: 0.7575758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 + 4*n + n**2 + n**3 + 1 + 5*n**2 + 0*n**2 + n**2 - 8*n**2 in the form g*n**4 + x*n**2 + v + l*n + c*n**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1508)\/(-108) + -12 - 2\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.3 (c) -2\/7 (d) -92 (e) 4.7429\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71279142*s**2 - s - 17752313.\nAnswer: 142558284*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 - 51. Suppose -3*v + 31 = -29. Calculate the remainder when w is divided by (-1*(-1 + v))\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 24. Let g be y(33). Round g to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8077, -0.5, -0.24, -5, 0?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6090\/(-45)*(1 + 15\/(-6)). Suppose -l - 71 + i = 0. Does 60 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*g - 19530 = 6228 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25042, -23690, -22338, -20986, -19634, -18282?\nAnswer: -16930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 216236164 and 5.\nAnswer: 1081180820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.4 rounded to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2965090.\nAnswer: 1\/593018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 26*t**4 + 81358*t**3\/3 - 651652*t**2\/3 - 33632*t\/3 = 0.\nAnswer: -1051, -2\/39, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 222509 * 4.3\nAnswer: 956788.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z**2 + 4*z - 4. Let f be d(3). Let y = 6 - 10. Let n = 4.2 + -4.3. What is the closest to f in 0, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g*v + 19*g - 2556*v - 17547 wrt v.\nAnswer: 6*g - 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (460\/(-50))\/((6\/10)\/(-3)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 16870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162244139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110002 (base 3) in base 13?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2761041092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1153, 1162, 1171, 1180, 1189?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 495 divide 19811385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.008411185 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 21. Let p(m) = -2*m**3 + 13. Let a = 4 - 4. Suppose 3*k + 6*n - n - 8 = a, 0 = -5*k + n - 24. Let q(w) = -w**3 + 6. What is k*p(g) + t*q(g)?\nAnswer: -g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 7*z + 51. Determine t(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32249 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1125 divided by -106\nAnswer: -1125\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000171974047 rounded to six decimal places?\nAnswer: -0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -101*h**5\/5 + 502*h**3\/3 + 315. Find the third derivative of i(c) wrt c.\nAnswer: -2424*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 1. Let g be 270\/65 - 4 - 2734\/26. Let u = -108 - g. Give l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8 plus 0.81?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7381, -1, 16, -1\/3 in decreasing order.\nAnswer: 16, -1\/3, -1, -7381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10446 is divided by 3015.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13440766100 rounded to the nearest 1000000?\nAnswer: 13441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 199, 2\/11, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/13 - 24*x\/13 - 32\/13 = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 617778 (base 10) to base 5\nAnswer: 124232103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -132451312 (base 6) to base 15\nAnswer: -3755a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.3. Let z = 1455 + -1451. Sort -3, -0.23, g, z in descending order.\nAnswer: z, g, -0.23, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 1\/5, -6891\/8 in decreasing order.\nAnswer: 1\/5, -0.7, -6891\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = m + 10*q - 14*q, 4*m = -4*q + 1560. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + v**2 + v - 2. Suppose 3*g = -g. Let s be k(g). Let p(u) = u**2 - 1. Calculate p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 7*q**4\/4 - q**3\/3 - 6*q + 7. Let j(m) = m**3 + 0*m**3 - 2*m**3 + 1. Let w = 10 + -4. Give w*j(r) + y(r).\nAnswer: r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083608 to the power of 1\/2, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:41 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -1.68, -1\/2 in decreasing order.\nAnswer: -1\/2, -1.68, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/(-1395)*(5\/2)\/((-145)\/(-60) + -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -30*t**2 + 2*t - 2. Let w be s(2). What is the tens digit of w\/(-5) + (-10)\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/12 + k**3\/6 + k**2. Let x = 17468 + -17471. Determine g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/2 - 3) + -10. Let r(k) = k**2 + 10*k + 8. Let c be r(h). Is 6 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 125901*v + 1888505. Determine a(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(40664\/667 + -61)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 120174.27 and 0.1.\nAnswer: 120174.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9586?\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 5074 + 3998 = 0. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 161b515 + 1?\nAnswer: 161b516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from nuuunuuununuuu?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21530102 + 21530095.0000012. Let h = 1.6 - 8.6. Let d = h - n. Round d to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -227, -346, -467, -590, -715?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**8\/1680 - v**7\/420 - 2*v**3\/3 - v**2. Let b(g) be the first derivative of r(g). What is u in b(u) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -681 - 272 + 15*t + 24*t**3 + 22*t**3 - 686 - 180 wrt t.\nAnswer: 138*t**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 - 5*x + 7. Suppose 2*i - 7 - 25 = 4*j, j = -2*i + 2. Let z be o(j). Put -1, z, -5 in decreasing order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 14*d**3 - 2*d**2 - 7*d + 8. What is m(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2852 and 1827884.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**6\/40 - f**5\/24 + f**4\/2 - 7*f**3\/3 - 37. Let b(o) be the third derivative of w(o). What is the units digit of b(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.76, -35, 0, -0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7714*t**4 + 14455 wrt t?\nAnswer: 30856*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -18 + 2. Suppose -u*a + 2*t + 16 = a, 0 = 2*a + t - 6. Solve -5*f - 5*c - 40 = 0, -f + a*c = -4*f - 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 7*m**2 + 0 + 1\/15*m**5 + 0*m**3 + 0*m - 1\/24*m**4. What is the second derivative of k(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237201119 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 1:41 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*q + 15, 0 = -2*q - 17*r + 14*r + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 4*m - 8. Calculate l(-7).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.3, -9, 13968, 55, 1 in descending order.\nAnswer: 13968, 55, 1, 0.3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352 is divided by ((-805)\/(-4025))\/((-1)\/(-3005))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1207751.\nAnswer: 6038755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*r + 116, 3*r - 300 + 39 = 9*o. What is the closest to 1 in o, 0.1, -22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 199 = -5*c, -65 - 34 = 3*c + 5*z. Let x = 38 + c. Let k(n) = -3*n + 7 + 2 + x*n + n. Calculate k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/10*5\/(-2). Let m = 0.02 + 0.28. Let j = -1 + -2. Sort j, m, h in ascending order.\nAnswer: j, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**7)\/x)\/(x\/(x**(2\/5)\/x))*(x\/(x\/x**(-4)))\/(((x*x*x*x*x**(-4\/5)*x)\/x*x*x*x)\/x*x) assuming x is positive.\nAnswer: x**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1761, 3525, 5289, 7053, 8817, 10581?\n\"Answer: 1764*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20405 divided by -4081?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 10*f + 32. Let q(t) = 3*t - 54. Let m be q(17). Let r be a(m). Solve 2*k + r = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145385217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1021?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103759*d + 3455*d**2 + 103759*d.\nAnswer: 3455*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + 104. Calculate the greatest common divisor of q and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224971.\nAnswer: 367, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 2*h - 6. Let l(j) = 19*j**2 + 6*j - 19. Suppose 0 = 113*d + 20*d + 266. Determine d*l(s) + 7*t(s).\nAnswer: 4*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 825\/4 - 202. Let h = c - 19\/4. Suppose 2*v + 3*w = 6, -10*v = -5*v + 4*w - 1. What is the closest to h in 2\/7, -2, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - -1.93. Let q = i + -2.3. Which is the biggest value? (a) -7 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405572?\nAnswer: 2, 41, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 14*z - 10. Let t be m(15). Suppose -2*d - 3*r + 26 = -r, 0 = -t*d - r + 85. Solve c + h = 4*c - 1, 2*c = 5*h + d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 91. What is the nearest to j in 0.1, 5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, -1053, 1, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65663 is divided by 4806.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdppbvppdpxpvbbfp. What is prob of picking 1 v and 1 p?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 12. Let w be a(8). Let c = 5\/2 - w. Calculate the common denominator of c and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*((-182)\/(-13))\/(-98).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + (-112860)\/(-1566) + (-1)\/(1334\/150).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 5*t - 3. Let g be x(-6). Suppose 0 = -6*k + g*k + 30. Calculate the highest common factor of k and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 4*c**2 + 3*c - 7. Suppose -11*b + 34 = -21. List the prime factors of s(b).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*z = 19, -65 = m - 2*z - 58 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 5*z**2 + z**3)*(-17*z**2 - 3819 + 3819) + (z - 3 + 3)*(0*z**4 - 5*z**4 + 2*z**4) + (0 + 0 - 3)*(-4*z**5 + 5*z**5 + 12*z**5).\nAnswer: -59*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -593262 = -71*n + 346352 - 23572. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttytqftttffdftttf. Give prob of picking 1 d and 3 f.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 65*j - 4212 = -0*j + 24*j for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -392, -885, -1566, -2429, -3468, -4677, -6050?\nAnswer: -7581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -81*d**3\/4 - 99*d**2\/2 - 19*d - 2 = 0.\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 10*s**2 + 0*s**3 - 1 - 1 + 17*s. Let g = -1722 + 1719. Calculate the lowest common multiple of l(g) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 40 (c) -4.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 17, z: 2}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*o + q + 4, 30 = -5*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239\/3 - 79. Suppose 0*f = -2*f. Are f and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 5*z - 17 = -56, z = -5*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318.08 - -5.08. Let t = 312.999166 + x. Round t to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*(sqrt(612)*-2 + sqrt(612)))**2 - 6*(2 + sqrt(612)))*5.\nAnswer: -27480 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-6 - -2)\/1 - -118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 - 3. Which is the biggest value? (a) -0.9 (b) q (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78688 (base 9) to base 8.\nAnswer: -146145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-38*44\/(-1672) - (65 + -3)) + (-13)\/(-1)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*((-1 - 4 + 2)*(-g - 3*g + 5*g) + 4*g + g - 6*g).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1755*z + 28. Is u(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 9*d + 9 + 4*d**3 - 3*d**3 - 5*d**3 - d**2 + 2*d**3. Let p(g) = g**3 + 2*g**2 - 8*g - 8. Let z(y) = 5*p(y) + 4*q(y). Is z(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 9*j - 2. Let c(m) = 7*m**2 - 17*m - 4. Let x(g) = 5*b(g) - 3*c(g). Give x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26330668 a multiple of 1524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 274086 and 791804.\nAnswer: 7126236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = 17*i - 56*i. Suppose i*d + 9 = 297. Which is smaller: 95\/4 or d?\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20214681?\nAnswer: 3, 41, 149, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from yyyyyyoyyoyyoy.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 3*k + 2. Give i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*k - 429 + 99 = 0, -3*q + 477 = 6*k. What is the remainder when q is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**3 + 3510*i**2 + 24228*i.\nAnswer: -24*i + 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = 2*q - 18, 5*r + 31 = 2*q. Let w(j) = -j**3 + 5*j**2 + 7*j - 2. Let g be w(6). Solve -a + g = q*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 3. Suppose 81 = -2*z + o*z. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/7)\/z)\/z*z*z\/z**(1\/2)*z*z)\/(z**(-5)\/(z\/z**2)) assuming z is positive.\nAnswer: z**(65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 7103*v**8\/336 - 2021*v**4\/12 - v**2 + 248*v. What is the second derivative of p(t) wrt t?\nAnswer: 142060*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 + -186. Suppose -l + 23 = 3*f, 4*f - k = -5*l + 11. Let n(t) = t**3 + 8*t**2 - 8*t + 13. Let y be n(-9). Sort y, -2, f, -1 in descending order.\nAnswer: f, y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -j - 153, 3*o + j + 0*j - 479 = 0. Let l = -154 + o. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1986231, 1986225, 1986215, 1986201, 1986183?\n\"Answer: -2*j**2 + 1986233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = d + 6, -5*u - 18 = -12*d + 15*d. Let o(p) = 14*p + 140. What is the lowest common multiple of 88 and o(d)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 0.9. Let k = 5.3431 - 5.3931. What is the nearest to 1 in k, r, 8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 6:51 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**8\/1680 - 19*n**6\/360 + 15*n**4\/8 - 79*n**3\/3 + 96. Let a(y) be the third derivative of d(y). Differentiate a(c) wrt c.\nAnswer: 4*c**3 - 38*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/12 - 175\/(-60) and -1\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6298626 to the power of 1\/2, to the nearest integer?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 388349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -211.333733819 - -14.\nAnswer: -197.333733819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**2 - 6*u**2 + 10*u**2 to w + v*u + x*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -10*n + 16. Suppose n*g + 2*s + 784 = 0, 3*s = -2*s. What is the tens digit of 2\/(-8) - g\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 132*z + 273. Let n be b(2). Factor 0 - 8\/19*x**4 + 10\/19*x**3 + 2\/19*x**n + 0*x - 4\/19*x**2.\nAnswer: 2*x**2*(x - 2)*(x - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:31 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2584 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - r - 317 = 0, 4*n - 327 = -5*r + 83. Which is greater: n or 314\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -6\/11, 2\/11, 4\/7.\nAnswer: -18, -6\/11, 2\/11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37701\/8 + -4700. What is the common denominator of g and -5\/1544?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/55388 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6) + (-22)\/(10296\/(-182)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l. Let m(i) = -15*i + 86 - 2*i + 18*i. What are the prime factors of m(l)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/3)\/a))\/a**4)**(-6\/11)\/((a*a**(-1))**(-1\/30)\/(a\/a**(1\/3)*a)**41) assuming a is positive.\nAnswer: a**(2303\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000672046254 rounded to 7 dps?\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -910 + 910.00000816. Round t to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29097*u**2 + 28112*u**2 - 91180*u**2 - 2 + 30984*u**2 + 0 to the form f*u**2 + d + o*u and give f.\nAnswer: -2987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x**6 + 1\/7*x**7 + 0*x**4 + 0*x**5 + 3 + 0*x**2 + x**3 + 0*x. Find the third derivative of w(z) wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5303 is divided by 5217.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + 73. Suppose -5*y = -3*g - b, 33 = y + 2*y + 3*g. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) + 1)\/((-49)\/147).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1310173\/28 - 46798. Let d = 48\/7 + y. Suppose -1\/4 - 3\/4*n**2 - d*n - 1\/4*n**3 = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33453*c - 1017665 = 459316 + 565165 + 500282 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:07 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 6*h**2 - h + 5. Let g be s(3). Let b(l) = -3*l + 8*l - 6*l - 2 + 760*l**g. Is b(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 3)*(-6215*l + 37 + 32 + 34 + 32 - 135).\nAnswer: 62150*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-20)*((-15)\/(-6))\/(-1). Suppose -1574 = -q*r + 4*j - 96, -3695 = -5*r + 4*j. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40204 (base 5) to base 16\nAnswer: -9fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 2\/7 (c) 0.3 (d) -5 (e) 350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210240 is divided by 105115.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let f(p) be the second derivative of p**6\/90 + p**3\/6 - 3*p. Let m(c) be the second derivative of f(c). Give m(g(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 538*p**4 + 67*p**2 + 2909*p + 4 wrt p?\nAnswer: 6456*p**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380 + 1466. What are the prime factors of b?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53909, 107826, 161751, 215684, 269625?\n\"Answer: 4*k**2 + 53905*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4571 and 1155?\nAnswer: 754215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from gdigdiddgdddgedgidg?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 9*g + 15. Let o be 260\/g - (-2)\/3. Let k = 48 - o. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 128040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631 = -643*i - 6418 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihiiihih. Give prob of picking 1 h and 3 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d + 148. What is b(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -u + 4*y, -2*u + 3*y + 2*y - 27 = 0. Let k be (-9)\/12 + 26\/(-8). Put -0.5, u, 1, k in decreasing order.\nAnswer: 1, -0.5, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/24 - w**3 - w**2 + 196. Let h(o) be the third derivative of j(o). Let r(y) = y + 1. Determine h(t) - r(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 60515?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3122 + 1330003?\nAnswer: 1320221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 72 (c) 6 (d) -0.2 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 6:41 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1533 (base 6) to base 12\nAnswer: 2a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 60?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11306 is divided by 965?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, e: 8, z: 2, i: 4}. Give prob of picking 3 i.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2694, 5428, 8162, 10896, 13630, 16364?\n\"Answer: 2734*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -r + y - 118, -7*y = r - 101470 + 100867 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -17, -20, -19, -14, -5?\n\"Answer: 2*z**2 - 13*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1748653*x**6 - 2*x**2 - 175727*x.\nAnswer: -209838360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 1, -0.18, -1.1 in increasing order.\nAnswer: -1.1, -0.18, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p - 2*p + 6 + p + 2. Let q(c) = -c**2 + 5*c + 2. Let n be q(4). Is 21 a factor of x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3162 is divided by 79.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 at least -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a - 3. Let f be w(-1). Suppose -f*g + 3*g = 0. Suppose g = -s + 4*s - 753. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {i: 1, p: 2, o: 1, e: 3, f: 1, g: 8}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 at least as big as -101590\/581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14*q**(-1\/35) assuming q is positive.\nAnswer: q**(489\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**5\/24 - 3*w**4\/8 - 19*w**3\/6 + 19*w. Let k(d) be the second derivative of z(d). Differentiate k(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*f = 165, 3*q + 14 = -4*f + 158. Let n = q - 52. Solve n = 7*x - 3*x - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -66. Suppose -o = -9*g + 4*g. Let n(a) = -a - 4. Let z be n(-4). Solve -3*v + 5*f - 2*f - g = z, 2*f + 6 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + -2 + 5)*100\/(-60). Solve -d - 4 = 0, u*v + 4 + 0 = 4*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48217612*c**5*w - c**3*w**2 + 5*c*w**2 - 2*c*w + 13*c - 161*w**2 + 12 wrt c?\nAnswer: -964352240*c**3*w - 6*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdffddfxd. Give prob of sequence fdf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -19*h**4 - 680*h**3 - 1414*h**2 + 10*h - 10. Let a(k) = 6*k**4 + 228*k**3 + 471*k**2 - 3*k + 3. Let c(s) = -10*a(s) - 3*n(s). Factor c(r).\nAnswer: -3*r**2*(r + 2)*(r + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -50*f**5 + 2130*f**4\/7 - 3436*f**3\/7 + 2216*f**2\/7 - 624*f\/7 + 64\/7 = 0.\nAnswer: 2\/7, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 + -2)*(-2)\/(-1). Suppose -4 = -u, -z*m + 60 = -2*u + 6*u. Suppose -2*v = 3*v - 10. Calculate the highest common factor of m and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 204, 253, 302, 351, 400?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**5\/4 - 7*w**4\/4 - w**3\/2 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/4 (b) 12.6 (c) 0.2 (d) 70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9744996\/107012 - (-4)\/(-62)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/168*(-16)\/2. Suppose -18*b = -g*u - 13*b + 2700, 1351 = u - 2*b. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 4*h**2 - 4*h - 5. Let m(b) = b**3 - 4*b**2 - 4*b - 5. Let v(n) = 5*m(n) - 4*s(n). Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:19 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + -635)\/34 + 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2 - n. Let h(w) be the third derivative of 253*w**5\/60 - 734*w**2. Give l(h(v)).\nAnswer: -256036*v**4 - 253*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -129\/32*f**4 - 21\/2*f**2 + 152 - 73\/8*f**3 - 1\/16*f**6 - 33\/40*f**5 - 6*f. Factor w(t).\nAnswer: -3*(t + 1)**3*(t + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1441452.\nAnswer: -2882904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3 + 53*a**2\/3 + 3*a = 0. Calculate a.\nAnswer: -1\/6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 - 2740979*j\/3 + 7512965878441\/6.\nAnswer: (j - 2740979)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8 + 2 + 12*g**2 - 13*g**2 + 4*g - 7 + g. Give k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1030 - 22340?\nAnswer: -21310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 + 7*s - 1. Let o be x(6). Let i = 19.5 - 36. Let l = i - -16. What is the nearest to -0.1 in o, 2\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1 + sqrt(176) + -1)*-5)**2*6 - -4*(1*(-1 + sqrt(176) + sqrt(176))*4)**2).\nAnswer: -10272*sqrt(11) + 216360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -6 + 16 - -11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/209 in 1\/3, 0, 10, -2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 9*g - 24. Calculate the remainder when 52 + (4 - 5) + 7 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p - 1. Let k be u(4). Let h = k - 23. Let d = -0.4 + -0.1. What is the third smallest value in h, d, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276215 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 4*q + 9. Let o be j(-5). Suppose -16 = -3*l - f + 4, -32 = -o*l - 4*f. Find the second derivative of t - 4*t - l*t**5 + 9*t wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 1616985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 27, 0, 66, -3, -12 in decreasing order.\nAnswer: 66, 27, 2, 1, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7.4 (b) -412\/5 (c) 54\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s - 9 = -94*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1269504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 168506.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 18 = -p. Solve 24 = -4*h + 4*w, 2*h + 27 = p*w + 2*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*h + 16, -3*h = 6*l - l + 68. Let n(i) = -i**3 - 12*i**2 + 11*i - 17. Let x be n(l). Is 11 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -63*z. Suppose -4\/3*p**5 + z + 80\/3*p**2 - 80\/3*p**4 + 400\/3*p - 132*p**3 = 0. What is p?\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -4. Suppose 2*v + 9 = 3*m, v - 3*m = -4*v - 9. Which is the nearest to v? (a) -0.3 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 2*z**4 - z**2 + (-79 + 79 - 18*z)*(8533 - 8533 + 3*z + 19*z**3).\nAnswer: -344*z**4 - 54*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:38 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbmff. Give prob of sequence mbfm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b + 57. What is u(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyo when three letters picked without replacement from ydjjjyyytoojyd.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 5*m**3\/3 + 525*m**2 + 55125*m + 298. Find y, given that g(y) = 0.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - 6. Let h be f(0). Let m = h + 9. Factor -2\/3*y + 2\/3 - 2\/3*y**2 + 2\/3*y**m.\nAnswer: 2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/7)*w)\/w)**0*w\/(w**(-23)*w*w)*w*w**(3\/11)\/w assuming w is positive.\nAnswer: w**(245\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 6*b**2 - 9*b + 7. Let t be n(-7). Suppose 3*x + t = 4*x. What is x rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95193875 and 115?\nAnswer: 2189459125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37946, 75803, 113650, 151481, 189290, 227071, 264818, 302525?\nAnswer: 340186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.1 - -51. Let f = 4.9 + j. Which is greater: 0.3 or f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*i**3 - 90*i**2 wrt i.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwwifwwefzizin. What is prob of picking 1 w and 2 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3496, -6982, -10476, -13984, -17512, -21066, -24652, -28276?\nAnswer: -31944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/8)\/((-30)\/(-80)). Suppose -h*b - 2 = -26. Solve w = b*w + i - 17, 2*i = w - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*v + 8 = 0, v + 2*v = 3*b. Suppose 0 = b*s + s - 455. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*k + 30 = 0, 4*r - 4*k = -k - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1090 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0442 less than -657862137?\nAnswer: -657862137.0442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 28 = 2*b. Let p = -15 + b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let g(f) = 16*f**2 + 23*f**2 + 5*f**2. Calculate v(g(w)).\nAnswer: 1936*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 - 23*l**3 - 13*l**3 + 5*l**3.\nAnswer: -41*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 15*k**4 - 5*k**2 + 18*k + 5. Let t(g) = -15*g**4 + 4*g**2 - 18*g - 4. Let p(q) = -4*o(q) - 5*t(q). What is the second derivative of p(s) wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 2*b - 40, 4*l - 153 + 128 = -3*b for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 171 + -171. Let j = 4 + 0. Sort l, 3, j in ascending order.\nAnswer: l, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 41*n**3 - 53*n**2 - n + 71. Find the second derivative of d(o) wrt o.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 1. Let k(a) = a**2 + 3*a + 5. Let p be k(-2). Let l(s) = 0 + 9*s - 11*s - 3 - 3*s**2. Calculate p*m(b) + l(b).\nAnswer: -3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(-39) - (-59)\/3 - -4. Suppose y*p = -14*p + 2736. Calculate the smallest common multiple of 18 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 36*f**4 - 120*f**4 - 39*f**4 + (1 - 1 + 2)*(2*f**4 - 3*f**2 + 3*f**2) to the form c*f + j*f**3 + n*f**2 + b*f**4 + y and give b.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12) + (-28)\/(-6). Solve u*g = g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.9, -239, -184?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 930.5644cm to kilometers.\nAnswer: 0.009305644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -21*b**2 + 8. Let j(m) = -20*m**2 + 7. Suppose -2*q = 7 - 13. Let d(z) = q*s(z) - 4*j(z). Does 16 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.4, 1\/2, 6.29, -7, 4\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + -1.97. Let u = j + -0.83. Let n = u - -1.1000017. Round n to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.57 minus 7657749332?\nAnswer: -7657749326.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25917 + -25839. What is the remainder when 317 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - 8. Suppose 0 = -i*m - 0*m + 432. Suppose f + m = 5*f. What is the highest common divisor of 18 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 5298935?\nAnswer: -5298936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 138807305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/60 - 7*y**4\/24 - 7*y**3\/3 - 4*y**2 + 4. Let m be f(-2). Solve -10 = -m*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 119?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffn when four letters picked without replacement from {n: 6, f: 13}.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 139 = -4*p. Let u = p - 49. Let a(w) = w**3 - 7*w**2 + 7*w - 3. Determine a(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4910360 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 171108 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*u - 9699, 7754 = 4*g + 20*u - 22*u. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2 = -g, -22 = 4*g - 3*h - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - q - 2. Let v(w) = -w**2 - w + 1. Let i be 5 - (-3)\/(3*-1). Let d = -3 + i. Let l(z) = d*v(z) + p(z). What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -3?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 4, u: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -11*a**2 - 2*a + 10*a + a**3 + 7 - 5 + 11. Let x be i(10). List the prime factors of (x\/1)\/(8\/(-8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12592.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from tiittttttttitt?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 + 6114710?\nAnswer: 6114657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/176912 and 65\/176.\nAnswer: 1946032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -105, -69, -9, 81, 207?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 30 - 6. Suppose 9*r - 10*r = -g. Let h = r - -6. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*h = 55, -2*q - 8 = 3*h + 14. Let z = -8 - q. Suppose -217 = -z*v - 58. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -13*j**8\/1344 + 41*j**7\/840 - j**6\/80 + 67*j**2 + 1. Suppose v(y) = 0. Calculate y.\nAnswer: 0, 2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 78041316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2230*s + 818411. Calculate i(367).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 16*p - p + 8 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (21 + -29)) + 19 - (0 - 31)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3*c = -66, -2*c - 2*c = -4. Let y(t) = 4*t**2 + 21*t - q*t. Let h(i) = 3*i. What is y(h(j))?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3264 divide 72401743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6138)\/33*(-39)\/234.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7785.752 days?\nAnswer: 11211482.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54324768*x**2 - 251602?\nAnswer: 108649536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9145*h + 66 = 9134*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 13. Let p(z) = 0*z + 6*z + 8*z**3 + c - 4*z**2 - z**3 + 5*z**2. Let a(u) = 8*u**3 + 7*u + 5. Let f(y) = -6*a(y) + 7*p(y). Give f(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, f: 13}. What is prob of picking 1 d and 3 f?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-680)\/(-32)))\/((-104)\/(-20) + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 3*f - 7 = -13*g, -3*g - 5*f = 7. Let x(c) = 3*c**2 + 4. Let p(n) = 5. Let k(h) = 14. Let u(d) = -6*k(d) + 17*p(d). Calculate g*u(i) + x(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84572 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 9*b - 5. Let m(l) = 2*l**2 - 17*l - 9. Let i = -3 + 7. Let p(f) = i*m(f) - 7*y(f). What is the units digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-34 - -38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -0.03. Let f = y - -1.97. Let o = -4.7574 + 0.7574. Sort f, 1, o in descending order.\nAnswer: f, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(0 - 12\/(-8)). Suppose 4*g = 3*g + p. Suppose 0 = 4*y - g - 8. Solve -y*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2490 and -67\/2370?\nAnswer: 196710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/3)\/(3\/(-9)). Suppose j*k = 2*c - 23 - 7, 0 = 5*k - 5*c + 45. Is (-3 - (-8 - k))*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1577, 1567, 1547, 1517, 1477, 1427, 1367?\n\"Answer: -5*b**2 + 5*b + 1577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -4 - 230)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 11 = 5*h, -2*h - 3*f + 5 = -2*f. Suppose h*u = 35 - 5. Solve 0 = 5*k + 3*o - 0 - 35, 0 = -2*o + u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 2*s - 1. What is d(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14686647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 2*p - 1. Let c = 6 - 6. Suppose c - 10 = 5*d. What is b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*p = 2*n - 380, -5*n - 395 = -5*p. Let v = -12 - n. Suppose -2*d + 28 = -d - 2*m, 4*d - v = -2*m. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*c\/(c**(9\/2)*c)))*c**(-10))\/(c\/(c\/c**(-1\/3)))**13)**8 assuming c is positive.\nAnswer: c**(-220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -6*k**5\/5 - 98*k**4\/5 - 26*k**3\/5 + 98*k**2\/5 + 32*k\/5 = 0.\nAnswer: -16, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*x = 0. Suppose 0 = 13*y - 5*y + 24. Which is bigger: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3169\/(-10268)*1 + 1. Let g = r + -40\/151. Let s = 3\/17 - g. Put -5, -0.2, s in descending order.\nAnswer: -0.2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175012 is divided by 268.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 382133369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111212110001022 (base 3) to base 2\nAnswer: -11100000111010111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 78 = 2*c, -702559*c - 7 = -t - 702562*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 15*y**2 - 9*y - 5. Let x be m(-14). Let p be ((-3)\/(1*-1))\/((-45)\/x). Suppose p*j + 138 = 178. Solve 0 = 10*d - 14*d - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 337, 670, 993, 1300, 1585?\n\"Answer: -z**3 + z**2 + 337*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4501225.\nAnswer: 5, 401, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (3 - (-3 + 2)). Suppose 0 = 3*v + 5*b + 3, 2*b = 5*v + 14 - 40. What is the second derivative of 2*f**v + f**m - 4*f**4 + 2*f wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43377, 43382, 43387, 43392?\n\"Answer: 5*n + 43372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1782) - sqrt(1782))\/sqrt(2) - 3*(0 + sqrt(11) + 0) - (-2*sqrt(110)*-2)\/(sqrt(10) + sqrt(160)*-2)*-3.\nAnswer: -159*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - z**2 + z**2)*(z**3 + 2*z**3 - 5*z**3) + 156*z**5 - 501*z**3 + 501*z**3.\nAnswer: 152*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575, 2405, 5447, 9701?\nAnswer: 15167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 5*b - 1. Let q be g(-2). Solve 4*l + i - q = -0, 0 = -5*l - i + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -477444, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16821\/(-3213) - (1328\/136 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -1418, -0.1, 1\/6, -2, 5 in descending order.\nAnswer: 5, 1\/6, -0.1, -2, -75, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 3*i + i + 15*i**2.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-14)\/((-182)\/13))\/4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 7*c**2 - 2*c - 5. Let s be q(-7). Let k be 5\/(15\/s) + 141. Suppose -4*y + 8*y - k = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 62*h - 24696 = 0. Suppose -9*g + 3897 = h. What is the highest common divisor of g and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 3 - 3)*(-2 - 1 + 2 + (2 - 2 + 2)*(-4 + 3 + 3)).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from {x: 1, f: 3, r: 1, c: 1, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 0.1. Let k = -480281\/30 + 16007. Let q = -11\/5 - k. Which is the closest to 0.1? (a) m (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7121*q + 513013 + 13941 = 0 for q.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2) + 0)*(495\/30 - 8).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) -17\/8 (c) -6 (d) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (469*r**2 + 28*r**3 - 6*r**3 - 21*r**3)*(-2 + 1 + 0)*(4 - 1 + 2) as s*r**3 + f*r + h + n*r**2 and give n.\nAnswer: -2345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -62511.6 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12755577 is divided by 857.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 11 = 3*z, -24*z + 2*b = -22*z + 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 9519681.85 to the nearest 100.\nAnswer: 9519700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10691*l**3*q**2 - 115*l**3 + 171*l**2*q**3 - 1803 wrt q.\nAnswer: 21382*l**3*q + 513*l**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*v - 3*j**3 + j**2*v - 3525*j**2 - j*v + j - 12652*v - 1 wrt j?\nAnswer: 6*j*v - 18*j + 2*v - 7050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18688542193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 40 = 7*i. Let r be (-4)\/5 + 24\/i. Let a be ((-44)\/8)\/(1\/r). What is the highest common divisor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 4. Let o(u) = 5*u**2. Let k be o(1). Let z be c(k). Let t = 71 + z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 6. Let t be p(-6). Let g be ((-12)\/(-16))\/((-1)\/t). Let w be -6*(g\/(-6) + -1). Let s(n) = n**2 + 3*n + 2. What is s(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10692 and 8.\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 1 = 45*t + s, -4*t + 12 = 4*s. Let q = 179\/230 + 1\/46. Sort 4, q, t in descending order.\nAnswer: 4, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-10*(-9)\/(-22050)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 12:31 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - ((-46 - -10) + 19)) + -45\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 2. Let g be o(-4). Let d be ((-6)\/(-5))\/(3\/g). Let n = 19 - 15. Calculate the highest common divisor of d and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.258 + 0.058. Let x = -6.9 - j. Sort 3, x, -2\/3, 4.\nAnswer: -2\/3, x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Suppose h = 4*l - 6*l + 8. Suppose l*q - 31108295 - 6091705 = 0. What is q rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m + 252. Suppose 0 = -4*f - u + m + 80, -3*u - 126 = -3*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + i - 63 = -4*u, -u = -i - 9. Suppose -5*q - 2 + 12 = -3*s, 2*s = 0. Suppose -q*r = -0*r - u. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (86130\/81)\/(-29)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6742, 6745, 6750, 6757, 6766?\n\"Answer: l**2 + 6741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21774 + 21773.9915345. What is z rounded to five decimal places?\nAnswer: -0.00847","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0993 times 0.2535\nAnswer: 0.27867255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3991, -3721, -3271, -2641, -1831, -841?\n\"Answer: 90*j**2 - 4081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 3 + 1 + (2 - 4). Suppose 3*v - 3*r - 15 = 0, v = 3*v + 2*r - f. Solve -o = -4 + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.1 * -12485\nAnswer: 163553.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*k + 706 - 244 = 0. Solve -h = 3, 0*m + k = 2*m - 2*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + k**2 + k**2)*(-k - 2*k + 2*k + 1).\nAnswer: 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*p + 414, 3*b - 5*b - p = -430. What are the prime factors of b?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p**3 + 3*p**2 - 2*p + 3. Let l be g(2). Suppose -3*z - 4*s = 781 + l, -3*s + 587 = -2*z. Is 4\/(-12) + z\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 899340 and 438140.\nAnswer: 17087460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 - -844?\nAnswer: 74a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 9*x**2 + 9*x + 10. Let g be r(-10). Let i = g - 20. Solve i*o = 3*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3\/13 - 31306*f**2\/13 + 20178560*f\/13 + 24098816.\nAnswer: 2*(f - 1312)**2*(6*f + 91)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0 - 2) + 17. What is the first derivative of h - 5*h**2 - h + b + 23*h**2 wrt h?\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 14 = -2*c - 0*c, 0 = -2*c + q + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 57, 1178, -0.3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a8043 (base 11) in base 10?\nAnswer: -1284462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/21 + (-2)\/(-6). Suppose -4*d + d = b. Solve 0 = u + r - d*r + 9, u - 4*r - 11 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 80*f**2 + 1562*f - 3037. Calculate h(50).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 50. Calculate the highest common factor of m and 1452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475774 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18474749?\nAnswer: 18474749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 1265001?\nAnswer: 22770018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.15, 1.9, 0.5, 3, -0.1, 0.145?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5009 - 3353 = 226*n for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -56*p**2 - 303 + 298 + 13*p**2 - 8*p. Let w(f) = 43*f**2 + 7*f + 5. Let c(i) = -4*j(i) - 5*w(i). Find the second derivative of c(r) wrt r.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 21*c**2 + 0 + 5\/3*c**3 + 1\/60*c**5 + 5\/12*c**4 + 0*c. Give b(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t + 218 = 2*r, -2*t = -r + 108. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + f**2 + 15*f - 41. What is a(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23528 is divided by 2351?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2842\/980 + 6\/15 - 12\/15.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3 times -105074?\nAnswer: -1292410.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -81*w - 268. What is the closest to 3 in w, 2.2, 0.5, -2\/3?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109384 divided by -5.\nAnswer: -109384\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 30 = 3*v, 26 = 5*v - v - 2*q. Solve 0*l = v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 3*g + 2. Let c be o(-3). Solve 0 = -2*k - k + 5*x - 31, -3*x + c = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 22*s + 4 = 20*s, -5*s - 40 = -m. Solve -5*t - 1 = -12*l + 13*l, -m*t - 5*l = -15 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 + 55 = 0. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1529682 divided by 9933.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 3*p + 50 = -5*p, -667*x = -662*x + 4*p + 86 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let g be m(0). Suppose g = 3*i - 4*i. Suppose i = 5*t - 25, -5*t = 5*h - 109 - 101. What is h rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -9029 (b) 2\/7 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -414.88 + 353205?\nAnswer: 352790.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7932777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, y: 1, t: 7}. Give prob of sequence qt.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3, -1\/5, -9, 0.0701, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -3 (b) 5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.012 - 0.012. Let x = 36.083 - c. Let j = x - 5.783. What is j rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 270\/(-81)*(24\/(-16) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdipbdpxdbx. What is prob of sequence xp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Solve 9 = a*y - 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/4)*y*y)**(1\/9)*((y\/y**(-5))\/y*y)\/(y*y**(-5)))**4 assuming y is positive.\nAnswer: y**(371\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - z**2 + 7 - 8*z**3 + 8 in the form v*z + o*z**2 + f + x*z**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**2 + 4*g + 1. Let i be v(4). Suppose -6*y = -y - i. Suppose -s = 3*s + b - y, -s = 5*b + 7. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + sqrt(539)) - (sqrt(99) + 0)) + -4.\nAnswer: -4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 5*k**7\/7 - 47*k**3\/6 + 62*k - 42. Let w(z) be the first derivative of q(z). Find the second derivative of w(l) wrt l.\nAnswer: 600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2016*f**3\/11 - 38832*f**2 - 22565198*f\/11 + 6482116\/11 = 0.\nAnswer: -1273\/12, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -2*w + 5*v - 37, 5*w + 109 = 3*v. Let t = w - -64. Suppose t - 12 = 2*n. Calculate the remainder when 125 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -325371 and -325373 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 1885?\nAnswer: 187a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11652450 and 25152.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 3*j**2 + 9*j + 10. Let l be n(5). Solve 4*p = -4*w, 4*w - 3 = l*p - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -5 (c) 17.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) -1 (b) 4 (c) -3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 8:39 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/7 + 1943*b\/7 - 5820\/7.\nAnswer: -(b - 1940)*(b - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = 4*s + 149 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 6464 = -5*c + 4*d, 2*c + 2*d - 2600 = 0. Suppose -4*z + 192 = -5*y, -134 = -3*z + 4*y + 10. What is the greatest common factor of c and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43889532 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1193 - 5962\/5. Which is the second biggest value? (a) t (b) 233 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -28. Solve 2*a = 4*z + 2, z - x*a = -0*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 20. Let d be q(5). Suppose 28 = p - r - 48, d*p + r - 380 = 0. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -44999*k**3 + 3*k**2 + 3*k + 2. Let d = 1 - -1. Suppose -5 + 1 = d*j. Let w be q(j). Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/((-4)\/(-10)). Suppose -2*g + 16 = -0*z + w*z, -4*g = -3*z - 11. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + l. Let d(n) = 29*n**2 + 6*n - 66. Determine -d(u) + 5*z(u).\nAnswer: -24*u**2 - u + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 <= 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-35))\/((-4)\/40). Let k = -4 + 11. Solve -g = 3*r - 15, -h*r + k*r = 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 193, 387, 689, 1129, 1737, 2543?\nAnswer: 3577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f - 2. Determine t(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*j - 2, j + q = -2 + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2. Let w(s) = -s**4 - 4*s**2 + 1. Let v = -3 - -6. Let y(r) = v*w(r) - 4*z(r). Differentiate y(m) with respect to m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 + -1081\/8. Let g be 359 + 1*(1 - 0). What is the common denominator of t and 2\/(-10) + 532\/g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792994 divided by 52.\nAnswer: 396497\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90 and 329.9?\nAnswer: -29691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 847949*m**2 - m - 1. Let x be z(-1). Let i = -16952457\/20 + x. Let v = i + -1727\/5. What is the common denominator of 157\/90 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8562 + 8434.9. What is j rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 = -48*c - 253 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 1472 (c) -0.7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q + 820. Let z be g(-54). Solve z*c + 13 - 23 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4235*p - 8475*p - 4*p**3 + 4240*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100064*h + 70709 with respect to h.\nAnswer: -100064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 14*s = 0. Let q(p) = -59 + 54 + 35 + p**3 - 2*p**2. What is the tens digit of q(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 6)*(-18*b**3 - 69*b**2 + 69*b**2).\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145000004\/10 - 2\/5. Round z to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:12 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 214. Let t be l(45). Differentiate -83 + 4 - t*v - 88 with respect to v.\nAnswer: -259","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.3 (c) 5\/4 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.140099 - 0.14. What is c rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnwwnvsgnwvvw. What is prob of sequence ngw?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -971 + s + 493 + 477. Let o(p) = 9*p. Determine -4*j(r) + o(r).\nAnswer: 5*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 3*w + 2*i, -w + i - 16 = -72. Suppose 9*g - 180 = 4*c + 10*g, 2*c + 90 = 5*g. Let y = c + w. Calculate the least common multiple of 2 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + -4.2. Let j = -4.3 - p. Let g = 0.9 - j. What is the smallest value in 4\/3, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**3 - 59620*x**2 = 0.\nAnswer: 0, 11924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((37788\/(-40870))\/94)\/(1\/10)?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272003 - 38008 = -11249*z - 24732 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + c = -2, -5*c + c = -3*k + 8. Suppose -25 = -5*z, k*l - z + 5 = -l. Put 5, -3, l in decreasing order.\nAnswer: 5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38880, -307085, -1035070, -2452725, -4789940?\nAnswer: -8276605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407 + 784. Suppose u - h - a - 258 = 0, 0 = 3*h. Suppose -4*c = c - u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38284991\/174 + -220028. What is the common denominator of o and -119\/10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58411*x + 58398*x + 1 + 0 as s + h*x and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**5 + 3*c**4 - 5*c**3 - 3*c**2 + 4*c - 4. Let f(n) = 8*n**5 - 8*n**4 + 14*n**3 + 8*n**2 - 11*n + 11. Let s(g) = -4*f(g) - 11*h(g). Factor s(d).\nAnswer: d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41624.52m?\nAnswer: 41624520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 16*n + 126, -67*u + 134*u - 71*u - 232 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 0 - 17\/18*t**4 - 2*t + 2\/3*t**2 - 1\/9*t**3 - 7\/15*t**5. Solve y(d) = 0 for d.\nAnswer: -1, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + 3*z**2 - 6*z + 6. Does 16 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 - 4)) + 4 + (29 - 8)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**4 - 123*f**3 - 1671*f**2 - 8085*f - 6534 = 0.\nAnswer: -18, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.4 from -502.\nAnswer: -488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-1)\/2*1. Let i = 208\/11 - 1073\/55. Which is the second biggest value? (a) 2\/7 (b) r (c) 0.1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*o + 34, -2*q - 17 = o - 29. Calculate the highest common factor of 55 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + -11 - (-1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Let j(q) = -5 + 3*q - s*q - 12*q**2 + q**3 + 3*q**2. What is the units digit of j(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce + 6?\nAnswer: -c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (-2*sqrt(2) - sqrt(2)))*3.\nAnswer: -36*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 2791.\nAnswer: 4, 12, 2791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*-1910763.\nAnswer: -49679838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 14*o**2 + 23*o + 163. Let b be r(-7). Let z(n) be the second derivative of 0*n**3 - 5\/8*n**4 + 0*n**b - 13*n - 3\/40*n**5 + 0. Factor z(t).\nAnswer: -3*t**2*(t + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92438*m**5 - 125502*m - 3?\nAnswer: 1848760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*s + 22 = 105*s. What is the tens digit of s\/(-33) - 1*532\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpxplxpbxxglbggxbll. What is prob of picking 2 l, 1 b, and 1 x?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -38, -57, -74, -89, -102, -113?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 2}. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/4)\/(-5)*0. Solve -7*w + 4*w - 12 = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y + 4*y - 4*y)*(0 - 2*y + 0) + 10*y**2 - y**2 - 2*y**2 + (-5 + 3 + 0)*(-y - 3*y + 2*y)*(-y - y + y) in the form h*y**2 + r*y + d and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(14 + -29 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 20. Give i(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 1 - (-210 - -184).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 321996422 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0*-109090\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 1. Let n be w(-1). Let y be 3\/(-39) - (8475\/(-325) - -24). Which is the nearest to y? (a) -2 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 75*w**2 + 753*w + 1. Determine t(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 439 + 201 + 238. Suppose j = -3*j + 140. Let d(g) = -7*g**2 + j - 35. Give s(d(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8*t + 2 = 6*t + 2, 65*t + 17 - 287 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/9? (a) -0.5 (b) -1\/3 (c) -7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x + 9. Let d(l) = -22*l + 15. Let r(v) = 5*a(v) - 3*d(v). Let g(h) = -h**2 + 2*h - 1. Let s be g(2). Determine r(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/(-4))\/(1\/22) is divided by (9\/(-2))\/((-3)\/5*(-1005)\/(-1608))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 244441 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32955, 32949, 32927, 32883, 32811?\n\"Answer: -y**3 - 2*y**2 + 7*y + 32951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 - 156 - 2*x**2 - 152 + 458.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(320))**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t - 10. Let q be (0\/(-5))\/(-6) + 4. Suppose g + 3*s = 3, -5*s + 9*s - q = g. What is m(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 124 and 6.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -50.971. Let n = 22.79 + -23.79. What is the fourth smallest value in n, l, -1\/11, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7013429646 to the nearest integer?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let g = -2531\/11 + 231. Let v = -7\/44 + g. Which is the closest to -2? (a) 1 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + -2 + sqrt(72))*4 + 4 + 5 + (sqrt(72) + -2 - sqrt(72)) + (sqrt(72) - (sqrt(72) - 3*1*sqrt(72)) - sqrt(72) - sqrt(72)))**2.\nAnswer: -108*sqrt(2) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13766707.097 rounded to the nearest 1000?\nAnswer: 13767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -3\/4, 1\/10, 8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185 + 267. Let t = 81.9825 - j. Round t to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.968 and -0.2.\nAnswer: 2.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-3) + (-790)\/(-60))*30. Calculate the greatest common divisor of 45 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15*10\/(-15))\/(-1). Solve -5*u = t - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnnn when four letters picked without replacement from {n: 7, v: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186204445*j*z**3 + 310*j*z**2 - 2*j*z - 49*j - 2*z**3 - 324 wrt z.\nAnswer: -1117226670*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1015092 and 79866?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 16 + 1 = 0. Suppose 3*y + 2*x - 15 = 0, x = -5*y - x + 21. Suppose -y*w + 3684 = h*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2009\/1604 + 1\/401. Let z = 73\/5 + -15. Let y be 1\/(-3) - 2\/3. What is the nearest to -2\/3 in z, y, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883125 is divided by 176479.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:44 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or -18.531795?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626217459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146676964 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61305 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3958*w - 2*w**3 - 1959*w - 1999*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80927*k**2 + 45 + 40574*k**2 + 40353*k**2 - 45 + k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1564*-537251\nAnswer: -840260564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from ddqqd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 1, d: 5, w: 1, f: 3}. What is prob of sequence ddbd?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2103166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(1\/7)\/x)*x*x\/(x**(-4)\/x))**18)**(-5\/3) assuming x is positive.\nAnswer: x**(-1860\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -175 (b) 0.2 (c) 0.4 (d) 2\/9 (e) -0.13 (f) 2\/23 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 11. Let f = 4 + u. Let o be 7 - 78\/12 - 7\/22. Sort f, -2\/11, o in decreasing order.\nAnswer: o, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (0 + sqrt(243) - sqrt(243)) + -6*sqrt(243)*1 + 4 - (-2*(2*sqrt(243) + -1 - sqrt(243)) + -3)) + -2)**2.\nAnswer: -144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1371? (a) -3\/4 (b) -5 (c) 2\/13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0) + (-5 - -6 - -4). Calculate the greatest common divisor of u and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1370382 and -21\/130?\nAnswer: 6851910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167716199?\nAnswer: 3, 13, 193, 155137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.97 + 0.03. Suppose 4*i - 2*i + 6 = 0. Let a be -2 - 1 - 11\/i. Sort a, 0.4, m.\nAnswer: 0.4, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72967 and 2228.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 118*s**2 - 128*s - 975. Calculate m(-119).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -787 + 786.619. Let d = j + 0.081. What is the third smallest value in d, 2, -1\/8, -0.24?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 1 c when three letters picked without replacement from cconnccnnnel?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*h*j**3*u + 894*h*j**3 - 513569*h*j**2*u + 8*h*j*u + 3*j**3*u + 6*j**3 - j**2*u wrt j?\nAnswer: -84*h*u + 5364*h + 18*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.64 and 0.5?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 5, 2339, 0.1, 12, 0.2, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39531774 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/25)\/(12\/(-10))*(-62766)\/(-1585).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-2 + 1 + -12). Suppose -33*a - 111 = 40*a + 38*a. What is the smallest value in a, -0.5, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 16 = 2*g. Let s = g + -5. Suppose -40 = 2*r - 13415*m + 13413*m, 3*m = -3*r + 42. Put s, r, -5, 5 in descending order.\nAnswer: 5, s, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqr when three letters picked without replacement from qnnrrqqrnrq.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 318 + -2 - (-2 - (2 + -4)). Suppose 204*q + j = 208*q. Calculate the remainder when q is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 577 and 112902744.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o*o)\/o**(4\/13) assuming o is positive.\nAnswer: o**(-160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.75 - 4008.\nAnswer: -4008.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11 = 5*y, -4*v - 148*y + 144*y - 45 + 17 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*g = -3, 6*a - 11*a + 5*g - 45 = 0. Sort 4\/5, a, 5 in increasing order.\nAnswer: a, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, -8\/251.\nAnswer: -5, -1\/2, -8\/251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/60 - n**4\/8 + 2*n**3\/3 + n**2. Let v(y) = y**2 + 4*y - 5. What is -4*o(u) - 3*v(u)?\nAnswer: u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 16*n - 1465 = -1375 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -71, 3.1, -5, -1\/12 in descending order.\nAnswer: 3.1, -1\/12, -2\/7, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u - 3*o = -47*u + o - 36, u + 109*o = 431 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**5\/13 + 4*o**4\/13 + 14*o**3\/13 + 8*o**2\/13 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 0.2, 0.4, -7, 0.5 in ascending order.\nAnswer: -7, 0.2, 0.4, 0.5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/4334 or 0?\nAnswer: -31\/4334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -274*o + 282*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n - 5*w = -341 + 108, -13*n - w + 34 = -9*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/(3\/8). Is 21 a factor of (-42)\/(-2)*(-3 - t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9)*(-8 + 7)*3. Let o(s) = s**3 + 3*s**2 - 2*s - 6. Let z be o(j). What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 9*y**2 - 13*y + 9. Let h(c) = c**2 - c + 10. Let s be h(0). Let z be a(s). Let i = -15 + -6. Is i smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-816)\/(-20))\/(3252\/(-4065)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 8. Let y(j) = 6*j**3 - 8*j**2 - 15*j - 4. Let h(m) = 5*m**3 - 8*m**2 - 14*m - 4. Let n(p) = -5*h(p) + 4*y(p). Is n(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**4\/12 + s**3\/6 - s**2\/2 - 12*s. Let d(m) = -5*m**2 + 8*m - 5. Let t(p) = 6*a(p) - d(p). What is t(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-19)\/(-21) - 1) + 3660\/(-1260). Let i(j) = 4*j**2 - 4*j - 5. Calculate i(n).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 7*w - 78 + 72.\nAnswer: -4*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r + 167. Let u(j) = 12*j - 167. Calculate 5*d(l) + 6*u(l).\nAnswer: -8*l - 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/9 - 128*a\/9 - 146 = 0.\nAnswer: -9, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43190 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k - 187. Let s(w) = -4*w - 9. Calculate s(c(r)).\nAnswer: 20*r + 739","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-96)\/(-18) - 4)\/(4\/6). Let j(a) = -a**3 + 4*a - 5*a**2 - o + 4 + 3. What is j(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 366162 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 347570, 695143, 1042720, 1390301, 1737886, 2085475, 2433068?\n\"Answer: 2*v**2 + 347567*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1441.6831 - -0.133.\nAnswer: -1441.5501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 13588230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11374 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51926 + i**3 - 120*i**2 + 65*i**2 + 103856 + 64*i**2 - 51930.\nAnswer: i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 942\/2227 + -1817371\/374136. Let z = -17\/21 - d. Find the common denominator of -47\/20 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3*(4 + (2*sqrt(931) - sqrt(931) - sqrt(931))) + 1 + -4 + sqrt(931) + sqrt(931) + 5))**2 + -5.\nAnswer: -1120*sqrt(19) + 15291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m - 3. Let h(u) = -u**3 - 6*u**2 + 5*u - 11. Let y = 365 + -372. Let x be h(y). Give a(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**5*r**2 - 3274712*f**3*r**2 + 2*f*r**2 - 284*f + 2834*r wrt f.\nAnswer: 40*f**3*r**2 - 19648272*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4857?\nAnswer: 3, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 34*q - 6. Let h(n) = -n**2 - 2. Give 3*h(f) - k(f).\nAnswer: -9*f**2 + 34*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 177 and 5937819?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5664 and 3169716?\nAnswer: 25357728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6 + 4*p - 10 - p**2 - 3*p + 17. Let v(y) be the third derivative of -7*y**5\/20 + 3*y**4\/4 + 3*y**3 + y**2. What is -18*u(d) + v(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-168)\/(-882)*6\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/3 and 91\/116575545?\nAnswer: 116575545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5500467 (base 8) to base 7\nAnswer: -15351626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 205901093?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 108\/30 - 8\/(-20). Suppose d + b*d = -75. Let f(n) = -9*n + 19. List the prime factors of f(d).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - ((-78)\/15)\/2. Suppose 6*l - r = 4. Solve -2 = -d - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562255751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 15*z - 13*z + 25*z + 75 - 15*z.\nAnswer: z + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26006959 to the nearest integer?\nAnswer: 5100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 465 + 203*g - 465 + (-2 + 2 + 1)*(-9*g - 4 + 4) - 7 + 3 + 0*g + g.\nAnswer: 195*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -26*f**3 - 2*f**2 + 1. Let j be c(-1). Let r = j - 19. Let i(k) be the second derivative of -k**3\/3 + 2*k**2 - 9*k. Determine i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.302 - 0.002. Let o = p - 7. Let r = -0.06 + 2.06. Sort 5, r, o.\nAnswer: o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 596.0992g?\nAnswer: 0.5960992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874*m - 70*m + 5628 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 3*i**2 + 5\/24*i**4 - 1\/105*i**7 + 0*i**6 - 13\/3*i**3 - i + 0*i**5 + 0. Find the first derivative of j(g) wrt g.\nAnswer: -8*g**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)\/o)\/o*o\/(o\/o**(-1)))\/(o**7*o**(-6))*((o**(-1))**(1\/3))**(8\/3) assuming o is positive.\nAnswer: o**(-466\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 796063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.042 times 0.279?\nAnswer: -0.290718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 14790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8700 divided by 30.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13924, -27845, -41764, -55681, -69596?\nAnswer: -83509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = -6*w - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14162684*k**3*u**3 + 2*k**3 + 7863*k**2*u - 53*u**3 - 3*u**2 wrt k?\nAnswer: 84976104*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20556 or -19984?\nAnswer: -20556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 16*p. Let u(q) be the second derivative of 14 - 4*q - 2\/3*q**4 + 0*q**3 + 0*q**2. Give u(y(i)).\nAnswer: -2048*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 times 10154472?\nAnswer: 507723.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/((4\/6)\/(270\/81))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4133*n - 45446. Determine x(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 13129.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*o, 4*o - 8 = 4*x + 4. Let y be (0\/x)\/(-4) + 1 + -1. Solve y = -5*g + 2*m - 17, 5*m - 4 = g + 4*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -34533, -1, -0.4, -23, -18, -4 in descending order.\nAnswer: -0.4, -1, -4, -18, -23, -34533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 12. Calculate the least common multiple of 9 and u(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 8. Let j be m(6). Let p(h) = -2 - 4*h + j*h + 2. Let n(o) = -2*o. What is p(n(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2 + (7 - -1). Suppose 6*m - 3*m = 48. Let r = m - h. What is the lowest common multiple of r and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2593.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4001*t**2 + 11502 - 11502.\nAnswer: -4001*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2 - 22. Let g(f) = -f**3 + 5*f**2 - 3. What is g(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128462 divided by 1.\nAnswer: -128462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/91 + (-4)\/26. Suppose -5*r + t = -j*t - 60, 5*t = r + 12. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000652041402 to six dps.\nAnswer: 0.000652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -283\/4 - -1609\/20. Let u = h + -19\/2. Solve 0*b + u*b**2 - 1\/5 = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.6 + -5.6. What is the nearest to 0.1 in -3\/5, a, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 1 - (-45 + 21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 5*g**3 + 120*g**2 + 105*g - 230 = 0.\nAnswer: -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856670911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose 4*p - 9300100 = -p. Suppose 4*n = -u*k - p, -4*k - 6*n = -n + 3720025. Round k to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/3 - 97910645*v\/3 - 32636882 = 0.\nAnswer: -1, 97910646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 58 = -2*d, 0 = 4*u + 3*d - 0*d - 45. Let b(k) = 3 - 4*k**3 - 26*k**3 - u*k + 6*k + 2*k**2. Is b(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*l - 188254*l**2 + 188586*l**2 - 124*l.\nAnswer: 332*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -13. List the prime factors of (-3)\/n - 1184\/(-16).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 - 2*v**2 + 1. Let b be o(-1). Put 0, b, 2 in descending order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, i: 3, d: 1, s: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -280 times 4\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*i = 5*i - 114, -2*j + 5*i = -70. Suppose -j = -5*z + 4*g + g, 2*g + 3 = z. Let y be z\/6*10\/3. Solve y*a = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from {h: 1, y: 3, x: 7, t: 3, z: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggqhqqgqhhghhh. What is prob of picking 1 g and 1 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (4 - -3) - (4 - -3958). Is (t\/(-3))\/((-52)\/(-39)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3894196 and 249728.\nAnswer: 7804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -47\/6*f**3 + 13*f + 0*f**2 + 0. Let k(u) = -2*u**2. What is k(b(s))?\nAnswer: -4418*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 2 - (0 + -7 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -k + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -43, -6, 4, -21 in increasing order.\nAnswer: -43, -21, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27238.0032 - 27209. Let h = y - 29. What is h rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 415252 = a - 2*a, b - 138416 = a. Suppose -13*m + 853417 = b. What is m rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98039*o + 98062*o + 529 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 12*q - 22. Let d be u(-5). Which is the second biggest value? (a) 1\/7 (b) -2\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.4, -0.4, -1.7, 0, -7\/3, -2?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 3. Let k(y) = -15*y**3 - 2*y**2 - 3*y - 2. Let p be k(-1). Suppose 0 = 18*w - p*w + 28. What is c(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 - t. Let y be u(1). Solve -2*r - 4*p + 10 = 0, 0 = 3*r + 4*p - 12 - y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r + 106 - 330 + 106 + 113. Calculate i(-16).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/1559 in 3, -1.66, -2?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 49?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0032987 to 4 decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22122 divided by -6.\nAnswer: -3687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 1. Let p(l) = 2*l**2 + 3*l - 4. Determine p(s) + 6*w(s).\nAnswer: 2*s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnwwwwwddvvwwvnv. Give prob of picking 2 n and 1 v.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424 + -495.7. Let j = -69.415 - k. Round j to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppfffppfppff. What is prob of sequence fpfp?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16130?\nAnswer: 2, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) - (sqrt(11)*-1 + 3)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 2*a - 4*z, -186*z + 185*z + 479 = 4*a. Calculate the lowest common multiple of 225 and a.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5885.\nAnswer: 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2)\/(-8)) + (-126)\/72.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 314*v - 5. Let y(n) = 1281*n. Determine y(f(c)).\nAnswer: 402234*c - 6405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406647861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*z - 17. Let s(j) be the third derivative of -j**6\/120 - 11*j**5\/60 - 11*j**4\/24 - 11*j**3\/6 - 531*j**2 - 2*j - 2. What is s(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -5, 3\/124, -1\/3, -4?\nAnswer: 3\/124","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3 - j**2 - 33*j - 63 = 0?\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4, 383, 127 in decreasing order.\nAnswer: 383, 127, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k**3 + 3*k**3 - 3*k**3)*(-2 + 1 - 1) + 0*k**3 + k**3 + 2*k**3)*(14 + 6*k - 2*k - 6*k).\nAnswer: 2*k**4 - 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*d**2*h**5 + 8*d**2*h**3 + 3*d**2 - 48*d*h - 3 wrt h.\nAnswer: -1220*d**2*h**3 + 48*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17222.47 + -17173. What is the third biggest value in -4, 2, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26367 or 26296?\nAnswer: 26367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752953 is divided by 94119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - 1.5. Let q = -0.1 + g. Sort -6\/5, q, 2\/3 in decreasing order.\nAnswer: 2\/3, q, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -23. Let x be -3*(32\/c)\/4. Suppose -2*s = -f - 746, -1041 = -3*s - x*f + 78. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1095.548 millennia?\nAnswer: 13146576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022630?\nAnswer: 2, 5, 7, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**(-6)))*q**(-3\/7)*(q\/q**(-2\/21))\/(q**6\/q*q) assuming q is positive.\nAnswer: q**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10*c**2 - 304*c - 145. Let f be j(31). Solve 23 = f*w - 100 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11248 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 2*t**2 - 33*t + 3*t.\nAnswer: 2*t**2 - 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.0518 + -1.2. Round p to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469215*p**2 - 469215*p**2 + 54*p**3.\nAnswer: 54*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-3*u + u + u)*(-46 + 8 + 1) + 4 - u - 4.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -84. Is m <= -117\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 12100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 670039*t + 0 - 670039*t - 119*t**3 + 8*t**2 to m*t**3 + b*t**2 + i + l*t and give m.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0 + 0*q + 4\/3*q**3 - 6*q**2 + 11\/24*q**4. What is the units digit of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 20*y - 20. Calculate the lowest common multiple of i(-8) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8014314, -16028625, -24042936, -32057247, -40071558, -48085869?\nAnswer: -56100180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnivwiiqiiaiv. Give prob of sequence iqvi.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4756 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 145\/1602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1850696?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -47, -38, -27?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 5*a**2 + 21)*(0 + 2 + 0)*(-3*a - a + 3*a).\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n - 4. Let z be i(3). Let a be (36\/6)\/6*5*1. Suppose -5*q + 23 = -f, -14*q + 10*q = a*f - 30. Solve -k - y - 10 = f*y, z = -2*k - 2*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose 0*v + 2*u = -n*v + 4, -13 = v + 5*u. Let d be ((-4)\/(-42))\/(v\/(-6)). Which is the third smallest value? (a) -1\/8 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1982\/7 - -23719\/84. Let b = -1\/42 - d. Let t = -7 - -6.7. What is the third biggest value in t, 3\/2, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284.8 + 284.7. What is the second biggest value in f, -5, 11\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 2*d - 5*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245699029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -19*p - 2. Let i be k(-12). Let g = i - 166. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 d when four letters picked without replacement from {i: 3, d: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = r + 3, -4*r - 2*m + 0 = 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17043?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05489 + 3.94511. What is the second smallest value in m, -6\/23, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 9:23 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010692 to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = -4*w. Suppose t + 1683 = -10*t. Let g = -135 - t. What is the lowest common multiple of g and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/70*-2)\/(435\/(-725)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v - 7. Let d be o(1). Put d, 0.8, 5 in increasing order.\nAnswer: 0.8, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -7. Which is the closest to -1\/2? (a) 2 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54729 or 54845?\nAnswer: 54729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 5:00 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22973090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 711.36.\nAnswer: 707.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 128 + 1018 = 0. Suppose 9*l - c = 75. Calculate the lowest common multiple of l and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8811.19 + -0.11\nAnswer: 8811.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a06 - -48?\nAnswer: -397a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4763763\/161210 - 3\/64484. Let b = -431\/5 - s. Let u = b + 115. What is the nearest to -0.1 in -5, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: bbe364 (base 16) to base 10\nAnswer: 12313444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:52 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 425048 times 3\nAnswer: 1275144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -186a4818?\nAnswer: -186a4820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-92)\/(-20) + -3). Let f(v) = -v**3 + 8*v**2 + v - 1. Let t be f(u). What is the highest common factor of t and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4801280 and 117128?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 4*k**4 - 14*k + 0*k**2 + 0 + 21\/20*k**5 + 2*k**3. Solve d(o) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2861, 6164, 9871, 13982, 18497?\n\"Answer: 202*u**2 + 2697*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 155 = 53. Suppose -4*y + w = -2*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.033064 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 12*r**2 - 112. Let t be p(-10). Calculate the highest common factor of 2728 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*z + 3. Suppose 3*u + k = 828 - 181, 0 = -z*k + 15. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 11*l - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 q, and 2 n when four letters picked without replacement from {q: 3, n: 6, g: 1, c: 3}.\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -2 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*f*y**4 - 2*f*y**3 + 189*f - y**4 wrt y.\nAnswer: 240*f*y**3 - 6*f*y**2 - 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498 + -494. Let p(w) be the first derivative of -14\/15*w**3 + 14\/25*w**5 + 2\/5*w**2 + 3\/10*w**c + 4 - 1\/3*w**6 + 0*w. Suppose p(o) = 0. Calculate o.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + t - 11 = 0, 0 = -15*t + 14*t - 4. Suppose 0*c + o - 1289998 = -z*c, 3*c + o - 773998 = 0. What is c rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -3, 5, -2, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -573*z + 566*z + 41 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3058 + 3355. Is 292 greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiphphffhiihhihh. Give prob of picking 1 i, 1 f, and 1 p.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 4142143?\nAnswer: -4142143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 41, 75, 125, 197?\n\"Answer: j**3 - j**2 + 20*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 5. Let z be w(5). Let c(m) = m**3 + 7*m**2 + 5*m + 4. Let f be c(-6). Calculate the highest common factor of f and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 788890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85692 + -54935. List the prime factors of y.\nAnswer: 30757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*k + k + 102, 0 = -w + 4*k + 40. Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2*z**3 + 0*z**3 - 229 + 40.\nAnswer: 2*z**3 + z - 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0. Suppose 3*w = -3 - 9. Let p be 6\/w*1*-2. Solve h - p + 1 = z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238.64 or -19597?\nAnswer: -19597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*-3*(sqrt(224) + 6*sqrt(224)*-1 + sqrt(224)))\/((sqrt(8) - -6*(sqrt(8)*-1 + sqrt(8))) + (-2*sqrt(288) - sqrt(288))))**2.\nAnswer: -240*sqrt(7)\/17 + 101089\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000044997541 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12972.\nAnswer: 2, 3, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, and 1 b when three letters picked without replacement from {f: 2, q: 2, e: 1, i: 1, n: 1, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.59 - 26.01. Let n = u - -40.6. Let p = 0.2 + 0.1. Which is the third smallest value? (a) -1 (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615 divided by 646.\nAnswer: 615\/646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 19*i - 20. What is v in 12*v - 9 + 42*v**3 - 4*v**4 + 87*v**2 + 8*v**i - 28*v**4 = 0?\nAnswer: -1, -1\/2, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 2*v**3 + 6*v**3)*(-29596 + 26410 + 23824).\nAnswer: 41276*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s + 15*s - 70*s + 28*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 46.19.\nAnswer: 18.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 730 and 113662460?\nAnswer: 113662460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xue when three letters picked without replacement from {s: 2, u: 1, x: 2, k: 4, e: 1, j: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 489455 less than or equal to 489474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -22*r + 26*r. Calculate the remainder when r is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13)*-1 + 5 + (2*sqrt(13)*-6 - sqrt(13))).\nAnswer: -84*sqrt(13) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/21139194 and -76\/182865.\nAnswer: 105695970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1296.6 - -1331. What is the smallest value in -2, f, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348984657.\nAnswer: 3, 7, 5539439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7383.4 and 40.\nAnswer: -295336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.0141+84\nAnswer: 84.0141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 26 = -8*k. Solve 0 = k*g + 7 + 32 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 71. Suppose h = 2*r, -4*f + 44 = -6*r + 2*r. Solve -5*b + f = -0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678065632?\nAnswer: 2, 52439551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 579*g**5\/20 - 2*g**4\/3 - 36*g**3 - 151*g - 1. What is the third derivative of k(x) wrt x?\nAnswer: 3474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**3\/3 - 4*v**2 - 66*v - 67. Let h be d(13). Let j(u) = 5*u**3 - u**2 - u. Calculate j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257932 = 62*c - 2593038. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-102)*33\/(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193*-0.12.\nAnswer: 23.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728419?\nAnswer: 37, 19687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 22*v**2 + 4*v + 48. Determine b(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 29*r**2 - 5*r + 14. Let i be b(8). Let g be i\/(-45) - (-2)\/(-6). Let j be 2\/6 - g\/(-69). Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67288 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 34 = -62 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/11*(-10)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/6 - a**3 - 2*a**2. Let s be h(4). Suppose 0*c = -5*c + s. Is c at most 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.6, -180\/7, -1, -0.2, 2\/31 in decreasing order.\nAnswer: 2\/31, -0.2, -1, -9.6, -180\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15 + (84320\/6800)\/(-2 - (-20)\/6)?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 1. Let o be l(1). Suppose 20 = -o*b + 2. List the prime factors of (4\/b)\/(10\/(-870)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:45 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*2 - 16\/16. Let p = 16 - m. What is the tens digit of (-10)\/(-3 + p\/9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*((2 + 1 - 1)*(318*l + 303*l + 147*l) + 5*l - 4*l - 3*l).\nAnswer: -1534*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5114\/12335 + -36\/2467. Which is the second biggest value? (a) -5 (b) -0.3 (c) u (d) 8 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 22. Let o be g(-11). Let m = 57 - o. Solve 2*i = -h - 3*h - 4, 0 = -h - m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0322063189668 minus 0.1?\nAnswer: -0.1322063189668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3244 - -0.6244. Which is the nearest to -10? (a) r (b) -0.3 (c) 2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3 + 5376*h**2 - 2419164*h + 9590832 = 0.\nAnswer: 4, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-528)\/(-1188))\/(10\/(-105)))\/(4\/(-66))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -10*r**3\/3 - 660. Let z(m) = 0*m**2 + 2*m**2 + 0*m**2. Calculate x(z(u)).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (29 + -31 - -7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/10 + 5*r**4\/3 - 8*r**3 - 258*r. Suppose u(k) = 0. Calculate k.\nAnswer: -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -45520.\nAnswer: 3\/45520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:39 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3018 = 6*w + 2022. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = -97*a + 99*a + 3*h, -3*a + 5*h + 684 = 0. Calculate the remainder when 696 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19759, 79060, 177899, 316276, 494191, 711644?\n\"Answer: 19769*s**2 - 6*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5948060589.\nAnswer: 3, 17, 101, 384913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a4822 (base 14) to base 11\nAnswer: -251088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-84)\/(-49) - 4\/(-14). Suppose 5*i - 5*z + 23 = 153, -y*i + z + 54 = 0. What is the greatest common factor of i and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s + 9. Let r(q) = -10*q - 27. What is 2*r(b) + 7*y(b)?\nAnswer: b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 44?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81983, 81986, 81991, 81998?\nAnswer: 82007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12 - (-116)\/(-12). Let s = 19 + u. Let o = -6 + s. Calculate the lowest common multiple of o and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w - 5*w)*(1 - 5 + 5)*(-2 + 1 - 1) + 2*w - 5*w + 4*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 20*b**2 + 2029*b - 18836. Determine h(-110).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11167 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 284, 277, 270?\n\"Answer: -7*u + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2. Let m(g) = 152*g - 8. Calculate m(b(u)).\nAnswer: 152*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001110001011 (base 2) in base 3?\nAnswer: -1002100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*n**3 + 1057*g*n**2 + 800*g*n + 5*g + 10*n**3 + 2089*n + 324 wrt g.\nAnswer: n**3 + 1057*n**2 + 800*n + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 29*i**3\/3 + 29. Let x(r) = r**2. Give x(b(c)).\nAnswer: 841*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/10 of a millennium?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133044369803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/16? (a) 2\/19 (b) -1\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**3 - t**2 + t - 1. Let n be k(1). Suppose a**3 + 44*a**2 + n*a**3 - 12*a + 8*a**3 = 0. Calculate a.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78474 is divided by 19586.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 557*u**2 - 42761*u + 1753. Give t(-92).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.495209g?\nAnswer: 495209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/35 and -18\/937447.\nAnswer: 4687235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*h + 2*y, 2 = 2708*y - 2711*y - 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 16*o - 1. Let k be w(2). Suppose 0 = -2*a + 4*a - 4*g + 4, 4*a - k = -5*g. Let v = -32040 - -32043. Solve t = v*t + a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1959 - 1955. Let s = -5 - -4.6. What is the third smallest value in -3\/5, s, -4, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 1891?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4151 + -4150. Let m(c) = -132*c**3 + c**2 - 3*c + 1. Calculate m(k).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*r - 302*r - 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**6\/30 - 7*a**5 + 139*a**4\/12 + 3670*a. Factor j(z).\nAnswer: z**2*(z - 139)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.045 + 2.045. What is the closest to -0.1 in 0.2, 229, j, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -17. Let m(f) = 0*f**3 + 11 + 16*f**2 - 243*f + 226*f + f**3. Let u be m(-17). Put t, -5, u in decreasing order.\nAnswer: u, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from uzwzusuus?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**6\/12 + q**5\/5 + 3*q**4\/4 - 2*q**3\/3 - 13*q**2\/4 - 3*q - 383. Find u such that z(u) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 787146 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1993689 divided by -3\nAnswer: 664563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = 4*y - 7*n, -3*y + 2*n = 15. Let j(t) = t. Let v(h) = 2*h. Let d(s) = -3*j(s) + v(s). Calculate d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-4)\/(-240))\/((-2)\/5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 341.00000437. Round c to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*w = 89, -70 = -2*f - w - 1. Calculate the greatest common factor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 - 5*r - 6. Let g be m(6). Suppose -5 - 2 = -f - x, -2*x + 4 = g. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18515444*b**3 - 13670*b + 724?\nAnswer: 111092664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/75 - 184*n**4\/5 - 203136*n**3\/5 - 1073*n**2. Determine f so that o(f) = 0.\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -194, 0, 5, -5, 3, -3.\nAnswer: -194, -5, -3, 0, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99475125.\nAnswer: 3, 5, 31, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(88)*1 - (sqrt(88) - (sqrt(88) - 2*sqrt(88))*-1))*1)\/((sqrt(40) + sqrt(4000) + 2*sqrt(4000))\/(sqrt(180)*2 + sqrt(180))))**2.\nAnswer: 3564\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 109815292?\nAnswer: -1\/109815292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.41075 centimeters in kilometers?\nAnswer: 0.0003641075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 + 8736 - 4453 - 4283.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**4\/36 - j**3\/9 - j**2\/6 - j\/9 + 4. Find z such that n(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -827 = 4*d - 2*f - 7613, 3*f = 4*d - 6785. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 541, 2208, 4987, 8878, 13881, 19996?\n\"Answer: 556*b**2 - b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72543b (base 13) to base 16.\nAnswer: 28b56c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3 - -6. Let f = 0.11 - 0.21. Is p greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, j: 2, n: 1, o: 4, t: 7}. Give prob of picking 1 o, 2 x, and 1 j.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54941693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -474033.08 rounded to the nearest 100?\nAnswer: -474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/3 + 34*f**4\/3 - 51*f**3 + 236*f**2\/3 - 116*f\/3 = 0. Calculate f.\nAnswer: 0, 1, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 1:19 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lww when three letters picked without replacement from {l: 14, w: 4}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 493654 and 6.\nAnswer: 1480962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmz when three letters picked without replacement from mmmzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32402200 - 1204?\nAnswer: 32400441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30072649?\nAnswer: 19, 101, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 835036353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, 2, -23552, -0.1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.6 (b) 0.4 (c) 242 (d) -0.372 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwuw when four letters picked without replacement from {i: 2, g: 1, n: 4, w: 4, u: 6, s: 3}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 + v**3 - v**2 + 6*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -4*b + 11. Let n = -10 - b. Solve n*z - 5 = 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/6 of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.0237 + -0.1483. Let p = n + 14. Let b = 0.1720365 + p. Round b to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.74*0.5.\nAnswer: -11.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2162*q - 10 = 2155*q + 3*g, -5*g + 10 = -5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 + -0.61. What is the third smallest value in d, 0.19, 2\/15?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 9*m**2 + 3*m. Let s(t) be the first derivative of -3*t**4\/4 - 17*t**3\/3 - 5*t**2\/2 + 172. Let z = -51 + 48. What is z*s(l) - 5*b(l)?\nAnswer: -l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2863 - -2901. Solve -57 = -b*c + 57 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**6\/5 + 33*k**5\/25 - 51*k**4\/20 - 26*k**3\/5 - 411. Find u, given that p(u) = 0.\nAnswer: -13\/2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 49*y + 329. What is d(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-10)*10\/4. List the prime factors of (2166 - 2)\/((-49)\/7 - o).\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j - 6. Let h be s(-3). Suppose -34 = -h*o + 2*o. Is -2 + 1 - (-4 + o) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189468.\nAnswer: 2, 3, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-406)\/(-14))\/(2\/118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22377156 divided by 6\nAnswer: -3729526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45920 by 328.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 11) in base 15?\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 1928*w - 57 + 49.\nAnswer: -1928*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*p = -538*p + 70 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73897, 147868, 221877, 295942, 370081, 444312, 518653, 593122?\nAnswer: 667737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6630336 - -0.026?\nAnswer: 0.6890336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 - -10 - (-2)\/(-8). Which is the closest to r? (a) 3 (b) 1 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k + 44*k + 29*k - 11*k + 2*k**3.\nAnswer: 2*k**3 + 49*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u = 25. Suppose 12 = h - 5*l, -h + l - u*l - 6 = 0. Let k = h - -1. Solve -f - 2*f + 3 = 3*t, 2*f - k*t = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057096?\nAnswer: 2, 132137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6338 = -4*u + 34393, 3*u + 2*h - 30510 = 0. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 239\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3575, -7180, -10785, -14390, -17995?\nAnswer: -21600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of u**5 - 18*u**4 - 20*u - 6 wrt u.\nAnswer: 20*u**3 - 216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01283 to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 2*i - 31. Let c be -1 + 1 - -2*(-12)\/8. Let h = -12 - c. Let z be d(h). Is z at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 13. Let h be t(-16). Suppose 2*o = -i + h*i - 4, 0 = 5*i - 3*o - 2. Suppose -u + 3 = 0, 0 = 5*m + 2*u - 18 + 2. Put 3, i, m in increasing order.\nAnswer: i, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**3 + 68*w**3 + 496*w**3 + 0*w**3.\nAnswer: 593*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (-2*sqrt(72))**2 + ((sqrt(72) + 2 + sqrt(72))*-4 - sqrt(72)) + 5.\nAnswer: -54*sqrt(2) + 277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u**2 + u. Let r be x(-1). Let o(v) = 2*v + 2. Suppose 21*n - 289518 = 114396. Let q(c) = -10 + 19223*c - 1 + c**3 - n*c. What is r*o(g) + 2*q(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.033 + 0.033. What is the closest to -3\/20 in -3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2328.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/((-77)\/(-970)) - (-12)\/(-66).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**2 + 88\/3*c**5 + 64*c**4 + 142\/3*c**3 + 4\/3*c + 0 = 0. Calculate c.\nAnswer: -1, -1\/2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:51 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 16 = 3*y, 3*k - y = 80. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8819, -34389, -77021, -136727, -213519, -307409?\nAnswer: -418409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 45*u**2 - 15*u - 47. Is f(-3) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 3*q)*(q - 2 + 2 + (5*q - q - 2*q)*(-1 - 4 + 3)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7156 (b) -0.07 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 7*v**2 - 7*v - 3. Let n be s(-6). Suppose 202 = j + 4*x, j - 2*x = -n*x + 208. Suppose -d + j + 145 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - -1)*18\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 - 8*c - 5. Let t(h) = -h**2 - 1. Give p(s) - 6*t(s).\nAnswer: -2*s**2 - 8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6*s - 6)*(-31*s**2 - 328*s**2 + 158*s**2) + 5*s**3 - 2*s**3 - 4*s**3.\nAnswer: -1207*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -332113221 (base 4) to base 15\nAnswer: -50a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - -1 - (35 + -58 + 58 + -52).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d + 70*d - 32934 = 0. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 - 3*k**2 - 2*k**2 + (1 + 41*k + 36*k - 85*k)*(k - k - k).\nAnswer: 6*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 72*u - 8 + 2 - 77*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -24805*c - 5082. Let x(l) = 117*l + 24. Let v(t) = 4*a(t) + 847*x(t). Let j(b) = -4*b**2. What is j(v(g))?\nAnswer: -58564*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72006*b - 44278.\nAnswer: -72006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -1.1. Let g = -3 - -5. Suppose -8 = -g*v - 2*v. What is the closest to t in -3, -4\/9, v?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 11 = 3*k + k, 5*f + 5*k = -15 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 3:36 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**5\/30 + 3*z**4\/8 + 3*z**2 - 10*z. Let x(w) be the first derivative of f(w). What is the second derivative of x(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-160)\/(-20) - (-1 - -5). What is the greatest common divisor of 76 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46122 and 48402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 1. Let w(v) = 3*v - 2. Let r(q) = 4*s(q) + 5*w(q). Determine r(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135908870*i**3 + 789986198*i**2 wrt i?\nAnswer: 815453220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 35.36. Let r = x + 4.64. What is the third smallest value in 12, 0.9, r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 116*x**4 + 256*x**3 + 196*x**2 + 56*x - 16. Let m(u) = 23*u**4 + 51*u**3 + 39*u**2 + 11*u - 3. Let c(w) = -3*i(w) + 16*m(w). Factor c(l).\nAnswer: 4*l*(l + 1)**2*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9*(-3)\/2*0. Let g = 156 - 3431\/22. Are c and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -422, -2\/12241, 1\/2, 5, -3?\nAnswer: -2\/12241","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -6535 and -6533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 62*u + 807. What is y(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-7 - -7) - (1 + -1 - -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, 315, 878, 1677, 2718, 4007, 5550, 7353?\n\"Answer: b**3 + 109*b**2 - b - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 104*j**2 + j - 61*j**2 - 46*j**2. Let z(d) = -d - 323. Determine m(z(n)).\nAnswer: -3*n**2 - 1938*n - 312987","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -86, -198, -342?\n\"Answer: -16*k**2 - 32*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 194038465 + 13\nAnswer: 194038478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120102111 + -1?\nAnswer: -2120102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((2 + 0)\/(-4)). Let z be 10 - 9 - 1*20\/(-5). Differentiate g*u - u - 1 + z*u + 7 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 47422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2 + 11304*t + 45152 = 0.\nAnswer: -2822, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6708*u*z**2 - 3*u*z - 2*u - 7*z - 5594 wrt z?\nAnswer: -13416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1564.9 + 1564.4. Which is the fifth biggest value? (a) -3 (b) o (c) -6 (d) 6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/134232 and -133\/192.\nAnswer: 1073856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28689705 divided by -47421?\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 25 - (16 - (4 + -11 + 8)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (250\/(-175))\/(((-40)\/(-14))\/(-5))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -2*p**7\/63 - 8*p**6\/45 - p**5\/3 - 2*p**4\/9 + 17*p. Suppose r(y) = 0. What is y?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*z + 5*r - 1383, 4*z + 4*r - 1296 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 433 + 2034153?\nAnswer: 2035030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + 84\/(-9). Suppose 3*n + 8 = -7. Let x = n - m. Solve 2*i - y + 0*y - 6 = 0, -4*i - x*y = -40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(105\/((-17325)\/110)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 3. Let t be f(6). Let d = t + 6. Let j(n) = 8*n**2 - 4*n - 6. Is j(d) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 29*j**2 + 7*j - 112. Calculate t(13).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 - (12 - 5 - 4)) - -14\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121112 - 1000100?\nAnswer: -20121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 646*m + 3. Let g(k) = -9*k + 1. What is 6*g(x) - n(x)?\nAnswer: -700*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-82)\/(-2) + (-10560)\/(-528).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75566505 to the power of 1\/2, to the nearest integer?\nAnswer: 8693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/194 and -28\/9.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 + 4 - 2)*(11*p**2 + 5*p**2 + 4*p**2).\nAnswer: -40*p**3 + 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8136383033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4\/5 (c) 6113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/220)\/((30\/25)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/121*(-6270)\/270750?\nAnswer: -2\/475","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 3:26 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 140\/77*(47\/(12502\/(-76)))\/(4\/(-385))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from oueac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1010 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 542106285 by 303701.\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-3)\/(-7 - 2)*-3. Suppose 22 = w*c - 2*h, -2*h + 8 + 5 = 3*c. Suppose c*a = 3*a + 1316. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -288 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from gmmhmlz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 16*b**2 + b + 22. Let c be m(-16). What is the greatest common factor of c and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 2, 1, 0 in decreasing order.\nAnswer: 2, 1, 0, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15 - -11 - (0\/(-3) - (-2 - -9)). Solve -14 + 10 = -2*r + 2*k, 0 = -g*r - 3*k + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 119. Let q(w) = -w**3 - 7*w**2 - 6*w + 8. Calculate the least common multiple of y and q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 8 (c) -22.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 22*t**2 - 19*t - 58. Determine j(21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -3\/11 (c) 2 (d) -1\/374 (e) 0.4 (f) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12840, -26635, -40430, -54225, -68020, -81815?\nAnswer: -95610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10)*1)\/((342\/(-11400))\/((-6)\/(-5)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 30. What is the smallest common multiple of 47 and q?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 2*y**2 - 2*y + 4. Determine f(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - -51740a?\nAnswer: 517448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itmm when four letters picked without replacement from mihmhiimth.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 1*(sqrt(36)\/sqrt(54))\/(sqrt(24)\/(3*sqrt(8)))).\nAnswer: -6*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/69 and -85\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5 - 152*z**4 - 588*z**3 + 8552*z**2 + 35530*z + 26544 = 0 for z.\nAnswer: -7, -3, -1, 8, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*h + 4*h. Suppose -6*d = -4*n - 11*d + 16, -3*d + 4 = n. What is the remainder when h is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001473998 to six decimal places.\nAnswer: 0.001474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*z + 2\/5*z**2 + 2250.\nAnswer: 2*(z - 75)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + (sqrt(176) - (sqrt(176) - (sqrt(176) + -1))) + 2*(sqrt(176) - (4 + sqrt(176) + 1 + sqrt(176))))**2.\nAnswer: 56*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.709 + -0.709. What is the third biggest value in 2, -60, r?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 5*v - 876. Let x = v - -160. Does 46 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 6*r**2 + 4 + 22*r**2 + 4.\nAnswer: 18*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35251254 (base 7) to base 2.\nAnswer: -1011110110000011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270269720 rounded to the nearest 100000?\nAnswer: 270300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0 (c) 27 (d) 5 (e) -1.498 (f) -1\/9 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 90, 0.\nAnswer: -4, 0, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16*k - 371. What is h(20)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11)*c)**37*(c\/((c**(-9)\/c)\/c))\/(c\/c**(5\/6)) assuming c is positive.\nAnswer: c**(2779\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*n**2*r*x - 51861*n**2*x**2 + r**3 - 8*r*x**2 wrt r.\nAnswer: 57*n**2*x + 3*r**2 - 8*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/11 - 32\/77. Which is the nearest to -4\/9? (a) -1 (b) u (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilogram in grams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 60?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**5 + 2*s**5 + 2*s**5 + (-4*s**3 + 0*s**3 + 5*s**3)*(s**2 - 2*s**2 + 0*s**2) + (-s**4 + 3*s**4 - s**4)*(4*s - 2*s - 4*s).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 241486\/4037 + -62 + 1?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757538*r + 1 - 1 - 1514930*r + 757393*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 = 0, 4*s - 32 = -6*x + 3*x. What is the closest to 1 in -5, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*10\/(-4)*59\/(2950\/(-36))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*i - 6*i + 16148, -4*i = 4*s - 16156. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 2970*q**2 - 14745*q - 11780.\nAnswer: -5*(q + 1)*(q + 4)*(q + 589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/407 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 8:57 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5735, -11309, -16883?\n\"Answer: -5574*c - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 + o**3 + 3*o**2)*(-248 + 456 + 345 + 508) to w*o**3 + r*o + l*o**2 + c and give w.\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 479796109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 2*b**7\/35 - 29*b**4\/24 + 3*b**2. Find the second derivative of c(o) wrt o.\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3818 or 244329\/64?\nAnswer: 244329\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, l: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 810 - 0. Let b be (29\/2)\/((-15)\/q). Let c = b + -119. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-5)\/(-15))\/((-9)\/27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 61*z = -60*z + 49, 3*q - 2*z - 33 - 113 = 0 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/117)\/((-3)\/18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30876768?\nAnswer: 2, 3, 13, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -138297?\nAnswer: -138297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 1, -1, -2, -7 in increasing order.\nAnswer: -7, -2, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 2*a**2 + 5*a - 33 - 7*a - 2*a + a in the form s + g*a + x*a**2 and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 18, 34, 66, 120, 202, 318?\n\"Answer: k**3 - k**2 + 2*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446494960*x**6 + 167264059*x**2 - 2 wrt x?\nAnswer: 53579395200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 3975.\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 173618864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(sqrt(2) + -1)*6 + ((1 + sqrt(162) + -2)**2 - (sqrt(162) + 0 + -5)).\nAnswer: -99*sqrt(2) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -350 divided by 350\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52 - 0.6. Let m = -1.5 + 1. Let g = -0.0364 + 0.0364. Sort o, m, g.\nAnswer: m, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnd when three letters picked without replacement from enmdy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 4 = 0. Let b(i) = 2*i**2 + i - 4. Let c be b(-3). Let u = c - 8. Solve 0 = -u*x + r*j - 13, -x + 5*j - 21 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 87, 0.05 in increasing order.\nAnswer: -2\/9, 0.05, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23505 - -23525. Let b(p) = -p**2 + 26*p - 138. Give b(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1000100101100?\nAnswer: 1000100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -2.2. Let q = d - 0.8. What is the second smallest value in 1, -1\/5, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -180998324 or -180998325?\nAnswer: -180998324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.77352 litres to millilitres.\nAnswer: 99773.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/8 + 23*v**3\/6 - 2*v**2 + 61. Find the first derivative of q(w) wrt w.\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 2:31 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2625325514 to the power of 1\/3, to the nearest integer?\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/10*((-20)\/6)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88\/15 + -44\/15. Let p = b - -41\/5. Which is smaller: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5*q**2 + 271*p**4*q**2 + 9*p + 2*q**2 wrt p.\nAnswer: -20*p**3*q**2 + 3252*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/91443 and -23\/919.\nAnswer: 84036117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b**2 - 8*b + 14. Let i be h(4). Let g be ((5 - 6)\/3)\/(i\/24). Let n(y) = 10*y**2 - 4*y - 3. Does 47 divide n(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*m - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 532 = 3*q. Let j(p) = 15*p - 5. Let y be j(5). Calculate the highest common divisor of y and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 2*j - 4*j)*(-93*j + 231*j + 88*j)*(-351 + 29*j + 351) in the form n*j + k*j**2 + f + q*j**3 and give q.\nAnswer: -6554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8*a + 7*a - 20 = 0, -t = -2*a - 4. Solve -s + 4 = -0*s, -2*s = -t*k - 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110101000010000010 (base 2) to base 16.\nAnswer: -b5082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 2915.\nAnswer: 2914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*b, -2*b = -5*t + 530 - 523 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11004009637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 15.3. Let i = -1.301 - m. Round i to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 38, -1, -6 in increasing order.\nAnswer: -6, -5, -2, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4, 0 = -o - 6*k + 2*k - 233. Suppose 3*v - 464 = 616. Let n = v + o. What is the remainder when n is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -429448.2 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 12:10 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - z - 12 + 5)*(-14*z**2 + 6*z**2 + 11*z**2).\nAnswer: -3*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/((-3)\/6). What are the prime factors of (-244)\/(-7) - y\/21?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -21. Determine r so that 7*r - 9*r**2 - 12*r**3 + 0*r + 2 - 3*r**4 + 5*r + p = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 529, 3, 1\/6, -117, -11\/3, 0, 1 in ascending order.\nAnswer: -117, -11\/3, 0, 1\/6, 1, 3, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -541, -537, -531, -523, -513?\n\"Answer: d**2 + d - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188 a factor of 40197936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i, 2*n + 143 = 5*i + 1310. Suppose -591*c + n*c + 145 = 0. Calculate the remainder when c is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 24*z + 499. Let r be k(-21). What is the third biggest value in 490, -1\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - r. Let p(c) = 186*c**2 - 932*c + 6. Let w be p(5). Let v(t) = -3*t**2 + t. Give w*q(n) + v(n).\nAnswer: n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 36*z + 60. Let x be b(34). Which is smaller: -10 or x?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 318*c - 196*c**2 + 1 + 32 - 642*c + 318*c wrt c?\nAnswer: -392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - z + 298425, 10 = 220*z - 218*z. What are the prime factors of a?\nAnswer: 2, 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 32*h**2 - 405*h - 158. What is y(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 93069143*w**3 + 93069152*w**3 - 3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 13980460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3 + (-902)\/(-123))*(-273)\/364?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 10*z - 35 = 0. Let o(d) = d**2 + z*d - 35*d. Let x(k) = 174 + 175 - 7*k - 349. Determine x(o(q)).\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -823 or -830?\nAnswer: -823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = 14. Calculate the least common multiple of n and (1 - 0 - 3) + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -409729, -819457, -1229185?\n\"Answer: -409728*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:45 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 39*f**2 + 18*f + 24. Let u be (-6)\/(-48) - (-1057)\/(-224)*-4. Determine h(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/((d\/(d*d**(-1\/22)))\/d))*d*(d**(3\/2)*d)\/d*d assuming d is positive.\nAnswer: d**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/97 (b) 1\/5 (c) 2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 7358396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119) + sqrt(119))*-6)\/(sqrt(112)*-6 + sqrt(7)).\nAnswer: 12*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2074660 and 773836?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -37 (b) -0.3 (c) 4 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyttyyyyyyt. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -60\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**3\/3 - 1567*d**2 - 459808*d\/3 - 1125696 = 0.\nAnswer: -88, -8, 4797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 112.\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from eqihc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015129069537 to 7 dps.\nAnswer: -0.0015129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.63 - 3.43. What is the second biggest value in 1\/4, -35, -4\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.907705l to millilitres.\nAnswer: 5907.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14431*f**4 + 2*f**3 - 163524 wrt f.\nAnswer: 57724*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5455 - 10935 + 20*s + 5444)*(-s + s - 2*s).\nAnswer: -40*s**2 + 72*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 25 = -29 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + 2*m**2)*(0 - 3 + 5).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 506 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - r = -l + 224, 40 = l - 5*r. Let z(k) = k + 3. Let v be z(-3). Let p be 9\/(v\/1 - -1). Calculate the highest common divisor of p and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*t = -3*t + 5, 0 = 3*c - 3*t - 3. Suppose c*q = 3*n + 84, -3*n - 3*q - 74 = 40. Calculate the remainder when 1\/(2 - n\/(-17)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 2:19 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62240954 to the nearest integer?\nAnswer: 7889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:31 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4644*p + 4647*p - 8 = -5*j, 0 = -2*p - 5*j + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 31. Let s = 27 + c. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137 or -6?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 25) + -36 + (0 - (-1 + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9778687, -9778679, -9778671, -9778663?\nAnswer: -9778655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + -1)*(-4)\/(-10). Suppose b*w + 4*g = -2 - 2, -4 = -4*g. Let a(u) = u**2 - 4. Let o be a(w). What is the highest common divisor of 18 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -175, -293, -425, -577, -755, -965?\n\"Answer: -y**3 - y**2 - 108*y - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Solve z - 3 + 2*h**4 - 4*h**3 + 17*h - 13*h = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/(p\/(p**4\/p)))\/p)\/(p\/(p**(-14)*p)))**4)**(-2\/15) assuming p is positive.\nAnswer: p**(88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26045200 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*l = l - 15, -2*z - 5*l + 3 = 0. Let s = z + 13. Is (s\/3 + -1)*3 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 340669670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 1:25 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = -3.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 15*l + 55. Let r be c(5). Suppose -917 = -2*p - 3*o, 3*p = -p + r*o + 1779. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*w - 2*w. Suppose 0 = -w*k + 11*k + 6. Let a be 1985\/20 + k\/8. What is the greatest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000612552 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 55796639.5 to the nearest one hundred thousand.\nAnswer: 55800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/14 + 74*z**3\/21 - 67*z**2\/7 - 30*z - 708. What is c in v(c) = 0?\nAnswer: -1, 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)\/y*(y*y*y\/(y\/((((y*y**3)\/y)\/y*y*y)\/y))*y)\/y)\/((y*y**6)\/((y**(3\/10)\/y)\/y))*((y*y*y\/y**(-8))\/(y**(1\/4)*y))**(-4\/3) assuming y is positive.\nAnswer: y**(-89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d = 655. Suppose 4*y - 9 = d. Suppose -5*p - 5*n = -y, -p - 4*n = -0*p - 10. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.465 and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i**4 - 102*i**3 - 2*i**2 - 28 wrt i?\nAnswer: 72*i - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*a**2 + 12*a**2 - 34*a**2)*(3 - 3 + 2*a) as y*a + m + u*a**3 + z*a**2 and give u.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**2 - 3*d - 40. Determine a(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/3 + 692*x**2\/3 - 83924*x\/3 + 165088\/3.\nAnswer: -(x - 536)*(x - 154)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212\/(-53)*1\/38.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*l + 3*h, -5*h - 17 = -l + 4*l. Let m be (-2 - (l - 1))*2. Is m\/(-12) + 146\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -22658.\nAnswer: 19\/22658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 + 7200009. Let o be i(0). Suppose 5*v = l - 1799985, 0*l + 4*l + 3*v - o = 0. What is l rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 13) + (-2 - 36\/(-6)). Which is the fourth biggest value? (a) x (b) 2 (c) 4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(605) + -3 + sqrt(605) + (sqrt(605) + 3)*-6)**2.\nAnswer: 4158*sqrt(5) + 49446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1 - p**2 + 1. Let u(t) be the third derivative of -t**5\/60 + 130*t**2. Give u(c(s)).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 80*l**2 - 49*l + 52. Is g(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205687 = 205682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 51. Let c(p) = 2*p**3 + 8*p**2 + 11*p + 2. Let u be c(t). What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 31397?\nAnswer: 4\/31397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 33.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/220 and 75\/242?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 16*d**2 - 39*d + 56. Let h be q(18). Let j(p) = -9*p - 3. Let g(v) = v + 1. Determine h*g(m) + j(m).\nAnswer: -7*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5 - 8*u - 5 + 3*u. Let w be o(-9). Suppose 2*q + 4*r = -q + 34, -5*r = -5*q + 80. What is the greatest common divisor of w and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**3 - 5*q**2 + 5*q + 5. Let l(w) = 461339*w + 5 - 461334*w + 1 - 8*w**3 - 6*w**2. Calculate 5*l(p) - 6*x(p).\nAnswer: 2*p**3 - 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 104\/49?\nAnswer: 104\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1083.713696 to one decimal place.\nAnswer: 1083.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*f - 8, 4*f - z - 1 = 6*f. Suppose -3 = -2*u - u. Is (f - 51\/5)\/(u\/(-10)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 24, -2, 40.\nAnswer: -14, -2, -1, 24, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 2 - 982268\/245560. Is d less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258 or -257?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000483252 rounded to 5 dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 762694382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 113629.53?\nAnswer: 113629.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 608*c + 44 = -626*c, 1 - 16 = 5*c for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 125*f + 1203. What is v(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 64*n**2 - 196*n**4 - n + 2*n**3 + 198*n**4 + 4 to f + b*n**4 + r*n**3 + x*n**2 + s*n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:15 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*-1*sqrt(130)\/(-2*sqrt(10)).\nAnswer: -3*sqrt(13)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101.227 - 0.227. Let j = 2556.747 - 2657.7. Let t = y + j. What is t rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*a**2 - 248801941*a + 248801941*a.\nAnswer: 208*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*u = 4222 - 42221, 4*s - 3*u - 37943 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 126 - 36 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 190, 288, 386, 484?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 358*r - 1883 - 2771 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22041054 (base 7) in base 9?\nAnswer: 3503753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 - -1 - 0 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -24*n**3 - 10*n**2 - 7. Let t(o) = 23*o**3 + 10*o**2 + 6. Calculate -6*t(k) - 5*z(k).\nAnswer: -18*k**3 - 10*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = -4*x. Suppose 3*h + 0*h - x*f - 67 = 0, 0 = 3*h + 5*f - 53. Suppose h - 86 = -5*z. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.115.\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 6. Let q(l) = -2 + 3*l**v + 6*l - l - 3*l. Let u(b) = 16*b**3 + 11*b - 11. Give 11*q(i) - 2*u(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-3 - 0) - -3. Let f = a - -9. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 596 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -72*a + 1004. Calculate i(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 451*p**4\/2 - 2*p**2 - 597*p + 2405. What is the derivative of v(o) wrt o?\nAnswer: 2706*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*r - 440 - 166 = 0, 0 = -5*v - 2*r + 3048. Find the common denominator of v\/15*(-3)\/32 and 83\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 4*m**3 - m**4 + 2*m**4 + 24*m**2 + 3*m**2 - 12*m - 7*m**2.\nAnswer: -4*m*(m - 1)**2*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 2. Let h = 3 + -4. Let q = h + 4. Solve q*g - y = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1\/d)\/(d*d**2))\/(d*(d*d*d\/d**(-2)*d)\/d*(d*d\/(d**(1\/7)\/d)*d)\/d*d))**(-22) assuming d is positive.\nAnswer: d**(1980\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -4, 3, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1235)\/242814)\/((-8)\/(-6)) and 123\/20?\nAnswer: 124520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 0, 696 = 4*v - v - 4*b. Let l = v - 231. Solve 6 + l = 7*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 30*x - 184. Let r be s(-34). Let z = -273 - r. Calculate the highest common divisor of z and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -546645561*k**2 + 586608689 wrt k.\nAnswer: -1093291122*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54048 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(5*(sqrt(170) - -2*sqrt(170)) - sqrt(170)))\/(sqrt(100)\/(-1*sqrt(1210) + sqrt(1210) - sqrt(1210))))**2.\nAnswer: 403172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d. Let a(t) be the second derivative of -4*t**3\/3 + 3*t**2 - 1525*t. What is u(a(n))?\nAnswer: -8*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -16, 2*r - 23 = -2*y - 447. Let d(n) = 3*n**3 - 7*n**2 - 6*n - 5. Let c be d(6). Let s = r + c. What are the prime factors of s?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 4*p - 2. Let b be (-5 + 0)*(5 - 6). Let r(x) = -8*x**2 - 9*x + 5. What is b*l(j) + 2*r(j)?\nAnswer: 4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m. Let i(v) = 9*v + 9. Let j(o) = 34*o + 40. Let y(h) = 26*i(h) - 6*j(h). Determine t(y(w)).\nAnswer: -60*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-27)*(-6 - (3726\/(-534) - -1)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose -m - p*h + 56 = -2, 4*h = m - 26. Calculate the common denominator of ((-6)\/m)\/((-1)\/(-41)) and -53\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 - 1002001?\nAnswer: -1000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1667358 by -10827.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)\/p**(-10) assuming p is positive.\nAnswer: p**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -854 at most as big as -610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300) + 3 - (-1 + sqrt(1300))*-6)**2 - (2 + (sqrt(1300) - (-1 + sqrt(1300))**2) + 2).\nAnswer: -330*sqrt(13) + 33806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(((-3)\/(-12))\/(4\/(-12))). Does 18 divide -4*476\/d - 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-289)\/(-68)*78\/1105.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24946, -99626, -224046, -398200, -622082, -895686, -1219006, -1592036?\nAnswer: -2014770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, 109, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -15*j**2 - 1489*j - 53 + 1364*j + 13 = 0.\nAnswer: -8, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*k + 18*k + 28*k + 16*k + 20*k.\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6642 times -0.5?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 1, q: 1, z: 4}. Give prob of picking 2 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*w**2\/5 + 3136*w\/5 - 1046\/5.\nAnswer: 2*(w + 523)*(3*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -3\/2*m**2 + 2*m - 5\/6*m**3 + 0. Is 16 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 218*m - 9718. Determine u(-143).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2684)\/(-14) - 230\/(-805). Solve -5*g + x*w + 31 = 190*w, 4*w + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 19834 = 232312. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/94929 or 1?\nAnswer: 13\/94929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172108*k**3 + 4 - 45619*k**3 + 2 + 63467*k**3.\nAnswer: 189956*k**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.76130055 + 0.853018. Let s = d + -0.0917. What is s rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/32)\/((-2)\/(-32)). Let p be (1 + 4\/f)*(-12)\/(-6). Solve -4*b - 4 = 0, p*b - 5*b = -5*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12824 or 2\/79721?\nAnswer: 2\/79721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = p + 3*p. What are the prime factors of (-171)\/(-15) + 6\/p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15785 - 98. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 2. Let v be g(-4). Suppose -20 - 58 = -5*y - 2*h, 0 = y - 3*h - v. Let m be -2*140\/24*-6. Calculate the highest common divisor of y and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by -48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 9.6. Let v = -31\/2 - -161\/10. Sort -1\/3, v, p.\nAnswer: p, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3009114 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256572299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 n when four letters picked without replacement from {n: 1, k: 11}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 2:08 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319781 = 69*b - 1326474 for b.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m + 1. Let x = 8 - -27. Calculate the remainder when x is divided by n(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 18747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*g + 771*c**3 - 4030*c**2 - 17*c*g + 140*c + 141*g - 38 wrt c?\nAnswer: -12*c*g + 4626*c - 8060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*y**2*z**2 - 129*y**2*z - 2*y**2 + 10*y*z**2 - 43748*z**2 - 1175*z + 2 wrt z?\nAnswer: -60*y**2 + 20*y - 87496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-10))\/(2\/10). Suppose -55 = -f*b - 2*b. What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 - 801\/5. Suppose -3*m = -1 - 53. What is the common denominator of q and 1\/(-33) - (-12)\/m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70633 and 3827545?\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 6*z - 6. Give p(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 1190896.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 226 = 171 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532503 is divided by 774.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625246024887 take away 3?\nAnswer: -2625246024890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.5. Let m be 12\/15*3\/12*-10. What is the closest to m in 2, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 2. Let x(n) = n - 3. Let q(k) = -3*t(k) + 2*x(k). Let g(u) = 3*u**2 - 2*u. Determine -g(w) + 2*q(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/((-105)\/(-6))*125. Does 11 divide 20\/v + (-112)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 10\/(-4))*(720\/(-28))\/(68 + -72).\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*o**2 + 6868*o + 4584.\nAnswer: -4*(o - 573)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10066\/21087 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 17*f = 40. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31229397 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7810.\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 25 = -5*m, -4*h - 281 = m - 286 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -559*b**3 - 8030*b**2 - 3 + 4019*b**2 + 4106*b**2 wrt b.\nAnswer: -3354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049*18.662295.\nAnswer: 0.914452455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*s**2 - 1 - 152*s**2 + 52*s**2 + 10*s + 50*s**2 to m*s + l + x*s**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13317931 and 319.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10702 is divided by 10618?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5272, -5268, -5262, -5254, -5244, -5232, -5218?\n\"Answer: y**2 + y - 5274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from sfffsf.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3316691751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 3*r)*(525*r**4 - 257*r**4 - 614*r**4 - 4*r**2 + r**4 + 4*r**2 + (2 - 2 - r**3)*(0*r - r + 3*r) - 2*r**4 - r**4 + 2*r**4).\nAnswer: -348*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*f - 4 = 0, 25*f + 8 = 4*c + 33*f. Solve 42*t - 53*t + 33 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvlvv. What is prob of picking 2 l and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 760644 bigger than 760643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 11*k + k)*(-2*k**2 - 3*k**2 + 4*k**2).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let c(d) = 21*d**2 - d - 1. Let s be c(-1). Suppose -q*n + s = -3*u, -2*u - 4 = -n - 4*u. Which is greater: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*i**3 + 43*i + 45*i - 90*i to the form m*i**3 + l*i + s + u*i**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 67 = -17*o, -11 = -4*k - 5*o - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20648)\/4)\/(-29))\/(26\/(-13)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/177 + 871\/1239. Let d = w - 4\/7. Which is the biggest value? (a) 6\/11 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 12, 35, 68, 111, 164?\n\"Answer: 5*c**2 - 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - r + 21, -r + 1 = 2*j + 4*r. Let y = 7 - 5. Suppose 4*a + 3*t = 14 + j, 0 = 2*a - y*t - 18. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11954 in -1, -228, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16717 and 1329038?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-15) + (-17)\/(2040\/64). What is the closest to -0.1 in p, 3, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11431\/18 + -627. Calculate the common denominator of 37\/(-11) - (-2)\/4 and v.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n + 5. Let b(v) = -v - 1. Let t(j) = -6*b(j) - i(j). Let a be t(1). Let g be (2\/a + 2)*2. Let z(p) = p**3 - 4*p**2 + 2*p. Calculate z(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -53. What is the second biggest value in -4, u, -2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:45 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*m**2)*(-1 + 1 + m) - 6*m**3 + 190*m**3 - 22*m**3 + 99*m**3.\nAnswer: 263*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + y, -4*f + f - 4*y = -7. Let n be f*(-1 - (3 + 0)) - -19. Let r(x) = n + 9*x - 15 + 8*x**2 - 11*x**2. Let o(q) = 2*q**2. Give o(r(c)).\nAnswer: 18*c**4 - 108*c**3 + 162*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 1:17 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m - 8. Which is the third biggest value? (a) 1\/2 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/(-117) + (-922)\/(-26). Solve j + 3*d - 3 = 7*d, -m = 5*j + 5*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqaa when four letters picked without replacement from qaqqqqqaaahqaaqaqqaa.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(320) + -2)*5.\nAnswer: -40*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**3 + 6*s**3 - 4*s**3)*(-5 - s + 5) + (-21581*s + 21581*s - 896*s**4)*(-7 - 4 + 6) in the form i*s + g*s**3 + x*s**2 + z + b*s**4 and give b.\nAnswer: 4478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 7*o - 11. Let f be j(-5). Let r = 10 - f. What is the remainder when 19 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkivvbbkkn. Give prob of sequence vi.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/3 + 39*24725. Suppose -5*x + w = -3*x. Suppose -q = -3*c + 809996, -3*c + 327876 = 3*q - x. What is c rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 4*l - 8. Let p be m(-6). Let i be 1*3*(-20)\/p. What is i rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 10922.835.\nAnswer: -5461.4175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and 1271780063.2.\nAnswer: 1271780056.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -87*q**3 - q**2 + 2*q. Let r be s(1). Let z = -23 - r. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3099749, 6199496, 9299243, 12398990, 15498737?\n\"Answer: 3099747*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 3323727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 5. Suppose -t*y = -32 - 31. Let m = y + -19. Solve -7 + 3 = m*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - m - 4*m = 131, 3*j + 3*m = 132. Suppose j = a - 2*d, 0*d + 123 = 4*a + 3*d. What is the units digit of a\/7 - (-10)\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1584) + 1) + -2 + -4 + -3)**2.\nAnswer: -432*sqrt(11) + 14292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/17 + 23\/51. Suppose 5*f = x + 3, -3*x - 12 = -3*f - 3. Which is the nearest to q? (a) -2 (b) 2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o**4 - 2*o + 11*o**4 + 12*o**4 - 2*o**2 + (-o + 0*o + 3*o)*(o**3 + 0*o**3 + o**3) in the form d*o**3 + n*o + g*o**4 + b + z*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13 + 6 - 39*i + 211*i**2 + 11*i + 3 + 6 wrt i?\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1055777643 + -493790524. Let s = w - 561987096.99999928. Let z = 22 - s. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 + 1 = 0. Let p be -7 - f - (-15)\/10. Which is the closest to 1? (a) 0.3 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80497947, -80497948, -80497949, -80497950?\nAnswer: -80497951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 take away 231044?\nAnswer: -231016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - ((8 - 8) + -12)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2260147 and 1629.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1201233 = 36*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 0 + 4*u**2 - 6*u - 5 - 3*u**2. Suppose -8 = -5*y + 12. What is j(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 15877?\nAnswer: 301663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 + 54. Let r = -84 - j. Solve -3*p - q - r = 0, 3*q + 28 = -5*p + q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1940895000 to the nearest 1000000.\nAnswer: 1941000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79956 by 13326.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7523?\nAnswer: 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*-2*-5 - (sqrt(13) + 2 + 4) - (-3 + sqrt(13)*3 - (2*sqrt(325) + sqrt(13))).\nAnswer: -3 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7503 - 1455*d**3 - 7462 - 361*d**3 - 419*d**3 with respect to d.\nAnswer: -6705*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**5\/5 + 129*w**4\/4 + 155*w**3\/3 + 41. Find the third derivative of k(j) wrt j.\nAnswer: -24*j + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1932 by 7.\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 + 15*k**2 + 111*k**4 - 60*k**4 - 23*k**2 - 4*k**2 as l*k**4 + m + u*k + t*k**3 + c*k**2 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5221734 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 150\/(-550) + (-30)\/(-231)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 10*o + 10. Suppose 5*u + 59 = 4*w, 4*u - 3 - 40 = -5*w. Let q be c(w). Let d be (2 - 4)\/q + -2 + 0. Solve d - 10 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6697 + 5670. Is -5142\/5 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - -64) + 9 + 34 + -52?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (14 + -4 + -6 - 14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Let p(c) = -c + 3. Let l be p(3). Suppose g - 20 = 2*a - 0*a, -2*g + 2*a + 36 = 0. Solve 2*j + 4*z + 16 = l, -4*z - g = -r*j + 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 47201*d - 708238. Give m(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 55*l**3 - 90*l**2 + 15*l + 20 = 0.\nAnswer: -4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 98. Let b(i) = i - 33. Give 7*b(t) + 2*q(t).\nAnswer: -3*t - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-10))\/(5\/25). Let r be c\/8*(-13 - -3). Let p = 5.1 + -5. What is the nearest to p in r, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(19) - (sqrt(19) + sqrt(76))) + -1 - (5 + sqrt(171) + sqrt(19) + sqrt(19))))**2.\nAnswer: 70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -18432b72?\nAnswer: -18432b71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)\/sqrt(4)) - sqrt(153)*1 - (4 + (sqrt(17) - (1 + 5*sqrt(17))))**2.\nAnswer: -281 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 30 - 51 = 2*v, v - n + 45 = 0. Let h be ((-736)\/24)\/(4\/(-6)). Let q = h + v. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 - 4*k**4 + 4*k**4)*(2*k + 0*k + 0*k) + (-2 + 2 + 2*k**2)*(-k**3 - 2*k**3 + 2*k**3).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1456266?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 3*p + 1. Let v(y) = y - 7. Let l be v(0). Let m = l - -11. Calculate the remainder when x(3) is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Calculate the remainder when 5618445 is divided by 185.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -0.03.\nAnswer: -5, -0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (-5 - -11 - (-75 - -86))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*r - 77, -6*y + 7*y + 5*r - 23 = 0. What is the third derivative of 6*f**6 + y*f**6 - 17*f**2 - 5*f**6 wrt f?\nAnswer: 2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.113.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -204198, -3, -51 in descending order.\nAnswer: -3, -51, -204198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1388*c**2 - 366*c - 1.\nAnswer: -2776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359336442?\nAnswer: 2, 3, 59889407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -27.149*-3635\nAnswer: 98686.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 3.291\nAnswer: 26.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.5 + -2.5. Let u be (-1485)\/440 + 24\/64. What is the closest to -0.2 in u, -0.1, 5, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44 - -663888?\nAnswer: 663932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 781 + 963 + 52 + 548 + 10072*x with respect to x.\nAnswer: 10072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 7*l - 13. Suppose 4*w - 28 = 4*j, 2*j + 3*w + 2 = 3. Does 14 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**7\/1260 + f**6\/90 - f**5\/40 - f**4\/6 + 2*f. Let u(q) be the third derivative of c(q). Is u(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 + 5*y**4\/24 + y**3\/6 - y**2. Let u be j(4). Solve -4*s - 8 = 2*p, 56 - 16 = -5*s + u*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 110. Sort 1.2, w, 0 in descending order.\nAnswer: w, 1.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) + 4*sqrt(384))*5)\/(-2*sqrt(48)\/sqrt(6)) + 2.\nAnswer: -50*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-7 - (3 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-30)\/(-8))\/(1\/(-4)). What is the tens digit of (-34*17\/6)\/(c\/45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(74\/(-24) - (-27)\/9). Suppose 28*u - z = 27*u. Suppose -5*l = -u - 23. What is the remainder when 11 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 189 + 72 = 0. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 6, 18, 2, -5\/4, 4, 23.\nAnswer: -5\/4, 2\/3, 2, 4, 6, 18, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 3*t**3 + 0*t**2 + 3*t**2 + 35 - 18 - 6*t**3 to the form l*t**3 + k*t**2 + n + r*t and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 231. What is the highest common divisor of 92 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(15)\/sqrt(5) + 1))**2 - (sqrt(108)\/sqrt(4))\/sqrt(9).\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1648*p + 2355. Does 76 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/3 + 23578*u**2 + 873408*u - 11612512\/3 = 0.\nAnswer: -41, 4, 35404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17964 - 87*c**2 - 17964)*(-8*c + 4*c - c).\nAnswer: 435*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 2*k + k)*(-217*k**3 - 34*k + 222*k**3 + 11*k) in the form f + r*k**2 + s*k + c*k**4 + b*k**3 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/241 or -0.6716?\nAnswer: -0.6716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2565 and -20\/9.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(1\/6))\/w)\/(w*w\/(w\/w**3)))\/(w**(-2\/7))**(-5))**(-1\/27) assuming w is positive.\nAnswer: w**(235\/1134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.15 (b) -4 (c) -1\/6 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 1037, 2487, 4537, 7181?\nAnswer: 10413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28707133 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-26))\/(1\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 308 (b) 0 (c) 0.3 (d) 21 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(27040\/(-117)))\/((3\/25)\/1).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015684 rounded to 4 dps?\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 13*q**3 + 40*q**2 + 105*q - 1. Let z be g(-1). Factor -2\/5*s**z - 16\/5 + 18\/5*s.\nAnswer: -2*(s - 8)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 6:36 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54114407 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0.2. Let o = -2823\/17 + 166. Let k = o + -15\/34. Which is the nearest to u? (a) 4 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104496 and 6664?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t + 12 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*b = -b. Suppose b = -5*y - 7 + 37. Let h be (-834)\/9*y\/(-4) + -4. Calculate the greatest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22195, 44007, 65775, 87481, 109107, 130635, 152047?\nAnswer: 173325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2*t**5 + 15*o**2*t**2 + o**2*t + 6758*t**4 - 16*t**2 wrt t?\nAnswer: 60*o**2*t**2 + 162192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*n + 72 = 3*u, u - n - 8 = 0. Suppose 28 = 4*f - u. Suppose 3*k - 6 = -5*q, -q = -5*k - 4*q + f. Solve 0 = -l - 2*a - 2 - 5, l + a = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, k: 4, x: 7}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1253.2 - -1253. Which is the nearest to i? (a) 3 (b) 6 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301103 (base 5) to base 14.\nAnswer: -3688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36254 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 396, -1, -1319\/5, 0.5, 2?\nAnswer: -1319\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + m + 8. Suppose -5*x + 30 = 5*q, -3*q + x = 224 - 234. Give i(q).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(170)\/sqrt(5))\/sqrt(2) - (2*sqrt(51))\/sqrt(3).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11908*g*j**3 + 11695*g*j**2*l - 5*j**3*l + 30*j**3 + 34657*j**2*l wrt g?\nAnswer: -11908*j**3 + 11695*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 13*r**6\/144 - r**5\/20 - 29*r**4\/24 - 24*r**2. Let f(o) be the second derivative of n(o). Is f(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, j: 2, n: 1, r: 1}. Give prob of sequence nr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -14, 5, 3 in increasing order.\nAnswer: -14, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -t - 14248, -4*r - 5*t + 2315 + 16714 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -2, -68, 4.\nAnswer: -68, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in -25, 1\/7, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 4*u + 2. Let g be f(-3). Let r be (17\/(-5))\/((-1)\/g). Let d(n) = 3*n**2 - 37*n + 13. Is d(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-32)\/3)\/(14\/(-63)*3). Suppose -o + j + 4 = -3, 0 = 2*o + 4*j + w. Solve i + o = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*26\/156*(-8)\/(32\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4\/5 - 2973*g**3\/5 - 12843*g**2 + 465237*g\/5 - 737748\/5 = 0.\nAnswer: -27, 3, 1012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ux when two letters picked without replacement from {d: 4, u: 3, a: 7, x: 2, i: 1, r: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -37216*z. Let h(n) = 138*n**2. What is h(y(v))?\nAnswer: 191134230528*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13205, 3, 776, 1, -3.\nAnswer: -13205, -3, 1, 3, 776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(4*i**2 + 3*i**2 - 5*i**2) + 65*i + 10*i**2 - 65*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**5 + 5*q**4 + 3*q**3 - 3*q**2 + 3*q. Let b(a) = -3*a**5 + 4*a**4 + 2*a**3 - 2*a**2 + 2*a. Let n(g) = 3*b(g) - 2*i(g). Find v such that n(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 19*s**2 - 34*s + 6. Suppose 10 = 4*z + z. Suppose -z*u = -5 - 35. What is the smallest common multiple of w(17) and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 22*d**2 - 39*d - 14. Let o be r(20). Suppose -2*b - o + 3 = -g, 0 = b + 2. Which is smaller: -12\/5 or g?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 7*p**2 - 4*p - 6. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(512) - sqrt(2)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j - 16*j**3 - 2*j**2 + 10*j**3 + 5*j**3 in the form h*j + a*j**2 + s*j**3 + c and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 10 = -5*o. Let h(n) = -n**2 - 6*n + 10. Let u be h(o). Suppose 0 = u*w - 8 - 1. Calculate the greatest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167426700 rounded to the nearest one hundred thousand?\nAnswer: -167400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 736577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1855*z = -1892*z. Solve z = 42*y - 53*y + 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 559.6995 decades to centuries.\nAnswer: 55.96995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2395 divided by 479?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 - 492*m**3 - 30108*m**2 - 814752*m - 8227008 = 0. What is m?\nAnswer: -46, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -1\/55?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 242*r + 119. Let u(b) = 363*b + 180. Let m(v) = 8*i(v) - 5*u(v). Find the first derivative of m(j) wrt j.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 30*a**2 - 57*a - 29. Let c = -241 + 213. Let x be k(c). Let y(d) = d**3 + 2*d**2. Calculate y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101100010010100 (base 2) to base 16\nAnswer: 5894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -200011?\nAnswer: -133321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*h + 0*h**3 + 507*h - 156*h + h**3 - 172*h.\nAnswer: h**3 + 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420261 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 6*g**2 + 3*g + 8. Let z(t) = -t**3 - t - 1. Let s(c) = f(c) + z(c). Suppose 0 = -21*q + 8*q - 78. What is s(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/1171721, -4, -5 in descending order.\nAnswer: -4\/1171721, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -92914?\nAnswer: -3\/92914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is adb79d + 3?\nAnswer: adb7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 729 - 676*y**2 + 670*y**2 - 729. Let r(o) = -o**2 + 28. Determine r(f(s)).\nAnswer: -36*s**4 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 72*n**2 + 897*n - 4. Determine b(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 - -142341331?\nAnswer: 142341200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.5 + -21.2. Is l bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82195277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -7 (c) 11 (d) 2 (e) -1.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1575 divided by 315?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 4*m - 4. Let q = 60 + -57. Give j(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5956447 to the nearest integer?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(1\/2))))\/f**(-2\/9)*(f\/(f\/(((f*f**0)\/f)\/f)))\/f*f**(-1\/7))**(-6\/13) assuming f is positive.\nAnswer: f**(179\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -111111010101001110 (base 2) in base 15?\nAnswer: -51cdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/436436639 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303130 (base 4) in base 15?\nAnswer: -22c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14505 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y. Let p(x) = 13*x**2. What is p(v(i))?\nAnswer: 1053*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32176385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*1*1*(-3)\/81.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 11*o - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -8*o - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 4, 92, 5 in descending order.\nAnswer: 92, 5, 4, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 7.31?\nAnswer: -21.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-1 + 0)) + 5. Let h be j - -1*(2 + -1). Is 13 a factor of 93\/h + 6\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*g + 4*g + 72*g + 4*g)*(4 + 2 - 2) in the form c + u*g and give u.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*n - 215, -3*n = -4*n - 5. Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let u(k) = -3*k - 3. Let m(n) = -2*g(n) + u(n). Let z(r) = -4. Let b(o) = -5*m(o) + 4*z(o). What is b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1024 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d - 5609?\nAnswer: -5646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(((-2)\/(-66))\/((-68)\/51))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, x: 17}. What is prob of picking 2 q?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/4 (b) 1 (c) 6\/11 (d) -2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -1887235885 and -0.3.\nAnswer: -1887235885.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.185, -37, 3\/8, 1, -1\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.54444 to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r + 33. Let b = r - -13. What is a in -5*a + b*a - 6 - 3*a**2 - 6*a = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 68. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1731402?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, -74, -214, -478, -908, -1546?\n\"Answer: -7*u**3 + u**2 - 12*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -24. Let g be (v - 639285\/968748) + 3\/(-1). Let b = g - -6\/7339. Find the common denominator of -16\/9 and b.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 278451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50813314\/13 or 3908715?\nAnswer: 50813314\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332021300 (base 4) in base 6?\nAnswer: 15024120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 g when four letters picked without replacement from {g: 2, p: 1, f: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011569 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -5 + 10 + 1 + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -54876100 rounded to the nearest 1000000?\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 297 times 1488377\nAnswer: 442047969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*(-2*sqrt(500) + sqrt(500) + -3))**2.\nAnswer: -27486 - 3240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.118 + 0.112. Let r = 0.91 - l. Let c = r + -0.680616. What is c rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7287244?\nAnswer: 2, 673, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 64798462?\nAnswer: -9\/64798462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 988849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 33398460 divided by 4383?\nAnswer: 7620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41 minus 3.5151?\nAnswer: -3.1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(4 + 3\/(-2)). Suppose 3*n = 3*c + 48, -v*n + 6*c - c = -44. Calculate the smallest common multiple of 4 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = t, 4*g + 3*t = 5*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 10 = 4*m - 0, 0 = -f - 8*m - 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2364 minus -6433437517.8?\nAnswer: 6433435153.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 2. Let k be f(-2). Let v = 3.11 - 2.71. What is the nearest to k in 1, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-837)\/(-90) - 7) + (-36)\/120?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 27*x**3 + 6*x**2 - 5*x. Let j be u(3). Suppose -j = -3*c - 3*c. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/11, 0.4, 5, 8, -0.4.\nAnswer: -0.4, 0, 2\/11, 0.4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/60 - 5*a**4\/12 + 9*a**3\/2 + 28*a**2 - 1. Let o be q(-12). Solve -5*k + o = 13 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2449 divided by -309.\nAnswer: 2449\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -111, -238, -387, -570, -799, -1086?\n\"Answer: -2*q**3 + q**2 - 116*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -31. Let l = 58 + b. Suppose -15*q + 18*q = l. Which is greater: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 61*h + 15. List the prime factors of n(22).\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**5\/120 - 2*n**3\/3 - 2. Let w(v) be the third derivative of s(v). Let d(p) = 0 + p**2 + 0 + p**2. Calculate w(d(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67027 - -109386. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.19 - 0.29. Let h = -2 - -1.8. Let g = -2.51 - -2.11. Which is the smallest value? (a) l (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h + 12*h + 17*h - 350 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 35. Suppose c + 2 + 6 = 2*i, 3*i - d = -2*c. Is (c\/3)\/((-6)\/(-90)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2160 divided by -970\nAnswer: -216\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6970675*p**3 - 6970683*p**3 + 5*p + 2*p.\nAnswer: -8*p**3 + 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*u**2 - 315 - 3*u - 3*u**3 + 315 = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 88. Let n be (-48)\/54*o - -6. What is the biggest value in n, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 857 - 9419\/11. Suppose -2*g + 3*g + 21 = 0. Find the common denominator of 2*g*4\/44 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -71*x + 31. Let s be t(-6). Suppose s = -v + 2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80.99815 + -81. What is j rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6019 + 3584. Let f = -618 - h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 9)*(-1 - -2). Suppose 0 = -x*i + 4*i. Differentiate -3*c + 2 + i*c + c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063048 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 17*x**2 - 34*x - 10. Calculate s(-18).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/13)\/g**(1\/31) assuming g is positive.\nAnswer: g**(-44\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192*z - 97*z - 5 + 42*z**2 - 96*z wrt z.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:25 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5483 = -112*v + 20277. Is v at least 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -44 + -1 + 6 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746808104 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*z - 3194412 = 4202928 + 4860500. What is z rounded to the nearest one thousand?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8683.\nAnswer: 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b. Suppose 5*m - 2*m - 12 = 0. Let u(q) = m*q**2 - 2*q**2 - q**2. What is u(o(j))?\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y + 1. Let l = -9 + 5. Let w = -8 - l. Determine z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0 + 0)*(0*u + 0*u - u)*(118 - 118 - 3*u).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 70555, 70558, 70561, 70564?\n\"Answer: 3*n + 70552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 6*k - 11. Let z(h) = 222 + 2*h - 71 - 2*h**2 - 147. What is 3*i(m) + 8*z(m)?\nAnswer: -m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t - 13. Is 5 a factor of x(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 9 - 7)*(3 + 2 - 4)*(112 - 114 + 43*i + 250*i + 76*i) as p*i + k and give p.\nAnswer: -4797","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 2*t = -2*w + 11, 2*t - 5 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 + 7*x**2 - 104*x**2 + 431*x**3 + 98*x**2 as y + q*x + o*x**3 + n*x**2 + w*x**4 and give o.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 13*y + 16. Let f be j(-12). Suppose -f*k - 1635 = -5*l, -2*k + 6*k = -5*l - 1605. Find the common denominator of -35\/18 and ((-4)\/220)\/(6\/k).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 548.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 33*l - 273. Determine j(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/719 in 0, 13, -282?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/11 + 6\/33. Let q = -2 - g. Let s = -8 - q. Which is greater: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, -4\/3, -0.07, 1\/2, 1.8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2337 = 953*r - 1010*r for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 35 - 8. Suppose 13*h - 204 = a*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 601*a + 32416. Determine t(-54).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -26. Let a(n) = 3*n - 2. Let b be a(2). Suppose -m + 7 = 5*d - 10, 5*d - 23 = -b*m. Calculate the lowest common multiple of z and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 6, m: 8}. Give prob of sequence mexx.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8956, 0, -3 in descending order.\nAnswer: 8956, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 20*c**2 + 14*c - 23. Let w be t(20). Let n = w + -169. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253666 and 12460.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*n, 3*n + 27 - 3 = -4*d. Let t = -3 - d. What is the second derivative of -3*a + t*a**3 + a + 2*a**3 - a wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + 1 + -6 - 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 2*i**3 - 4*i**3 - 2*i**2)*(177*i - 147*i - 194*i).\nAnswer: 328*i**4 + 328*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034032 to seven dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 44*j**2 + 156*j + 180.\nAnswer: 4*(j + 3)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4425129m in millimeters?\nAnswer: 442.5129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49246374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.545878kg in tonnes?\nAnswer: 0.005545878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 24*k**2\/5 - 26646*k\/5 + 6654 = 0.\nAnswer: 5\/4, 1109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, y: 10}. What is prob of sequence yyy?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2256)\/(-60) - ((-14)\/10 - -1). Let i = 3 - 2. Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**2 - 497 + 961 - 464.\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3*-2*(-2)\/(-20))\/(6177\/113245)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/2903273?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2. Determine n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 1036.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1814662*y**2 + 1 + 3.\nAnswer: -1814662*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 150 and 2.24?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 11. Let w be 4\/(-3)*(40\/(-8) + 2). Let v be n(w). Suppose 5*m - v*r = 40, 3*m - 26 = r + 3*r. Let z(b) = b - 4. Give z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2468*n**3 - 34*n + 11. Let w(b) = -2*b**3 + 3*b - 1. Calculate -u(t) - 11*w(t).\nAnswer: 2490*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30986 is divided by 7260.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 728104, 728123, 728142, 728161?\n\"Answer: 19*c + 728085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*p + 73 = 0, -29 = -4*t + 4*p + 23. Let r = 31 - -18. What is the remainder when r is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 25, 17, -5, -47, -115, -215, -353?\nAnswer: -535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(60)\/(sqrt(48) + sqrt(12))))**2.\nAnswer: -128*sqrt(5)\/3 + 2384\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kui when three letters picked without replacement from {p: 2, u: 2, q: 1, k: 1, a: 2, i: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 + -190. Let p = -9 + 5. Which is the biggest value? (a) -3 (b) i (c) 0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorrorrt. Give prob of sequence to.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)\/(d*d**14*d*d))\/((d**12\/d)\/d**(7\/2)) assuming d is positive.\nAnswer: d**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 448\/969 - 23\/102. Suppose 39298 = 15*d - 13*d. Let h = d - 275197\/14. What is the common denominator of h and u?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13323 + 0?\nAnswer: 13323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -26 - (-1 + 3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 209750514 divided by 6\nAnswer: 34958419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-40 - -1) + 108 + -114\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (28\/7 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3591043 from -0.028.\nAnswer: -3591043.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.02 in 0.6, -16\/753, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 25. Let k be m\/(-2) + 16*(-2 - -3). Suppose -k = -5*p - 12. Solve 2*t - 4 + p = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 3\/5.\nAnswer: -0.4, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 542*s. Let v(x) be the third derivative of x**5\/30 - x**2 - 66. Calculate q(v(u)).\nAnswer: 1084*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*i - 69*i + 2 to the form u + f*i and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.98 - 31. Let j = -0.019664 - p. What is j rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*w - 4*f, 0*w + 2*f = -2*w. Let b be ((-14)\/w)\/(8\/(-20)). Suppose 0 = 5*x - b*x + 18. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -53996? (a) 0 (b) -4 (c) -0.1 (d) -5\/3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 1374\/5*c + 693\/5*c**2 - 24\/5 = 0.\nAnswer: -2, 4\/231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4 - 90*j**2 + 344?\nAnswer: 8*j**3 - 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 376*a*f**3*j + 2*a*f**2*j + 3*a*j + 11*f**3*j**2 - 131*f**2*j**2 wrt f.\nAnswer: 2256*a*j + 66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/99 and 13 + (-28602)\/5698 + -8.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5957 - 1847 - 1826 - 1812)*(2 + 2*s - 2) as k*s + t and give k.\nAnswer: 944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121357.\nAnswer: 121357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*s**3 + 6*s - 6 + 9 - 2*s**3 + 2*s**3 in the form w*s**3 + t*s**2 + v*s + u and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6016 and 96632.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16 + -17 + (0 - (-14)\/(-2)). Calculate the remainder when 56 is divided by (-486)\/(-24) - (-2)\/b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-10)\/25) + -20463 + 9. Round p to the nearest 100.\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15378811, 30757628, 46136445, 61515262?\n\"Answer: 15378817*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 437*v**2 - 2*v - 2. Let t(n) = 7194*n**2 - 33*n - 33. Let w(x) = -66*g(x) + 4*t(x). Let q(c) = -89*c**2. What is w(q(s))?\nAnswer: -522786*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*f - i, 18*i - 20*i = 0. Let c(s) be the second derivative of 1\/12*s**4 + 0 + s**2 + 4*s - 5\/6*s**f. Give c(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*g - 69, f + 1 = 3*g + 27. Let j = -281 - -289. Suppose 231 = 3*x + j*x. What is the remainder when x is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/272349 and 13\/231?\nAnswer: 272349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - p**2 - 181*p + 3*p**2 + 195*p to the form q*p + n + j*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2136\/21 - (-6)\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -473 + 844. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 1. Let y be o(2). What is the derivative of -3 + 0 - y*q**3 - 2*q**3 wrt q?\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.00255 - 4.00255. Let j be 2\/9 - 0 - 0. Which is the biggest value? (a) -0.5 (b) j (c) 0.3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*(sqrt(320) + sqrt(320)*2 + sqrt(320)) - sqrt(320) - sqrt(320))\/sqrt(8))\/((-3*(sqrt(80)*-2 + sqrt(80)) + sqrt(80) + sqrt(80))\/sqrt(10)).\nAnswer: 6*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 - 2*k + 1. Let a(j) = -j**3 + 5*j**2 - j + 8. Let f be a(5). Let v be q(f). Let d be (12\/9)\/(2\/6). Solve d*g + 0 = -v for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31549432 by -5.\nAnswer: -31549432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - 1665\/(-5) - -6 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363 and 19470.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/13)*p*p\/((p*p**(3\/5))\/p)*(p*p**(-8\/7))**(-6\/25) assuming p is positive.\nAnswer: p**(5188\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -276*i**2 + 21*i - 98. Give q(0).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - i - 2. Let u be l(-3). Suppose 0 = 3*o + 44 - 14. What is the lowest common multiple of 2 and ((-16)\/o)\/(2\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(133) - (sqrt(133) - (sqrt(133)*-3 + sqrt(133)) - sqrt(133) - sqrt(133))))\/(sqrt(6776)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 7*o**2 - 6*o + 4. Suppose 4*b = 5*w + 35, -w - 22 = -5*b - 2*w. Is 10 a factor of i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tto when three letters picked without replacement from {o: 4, t: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -7*r**6\/120 + 9*r**5\/40 - r**4\/4 - 17*r**3\/3 + 56. Let f(k) be the third derivative of y(k). Factor f(u).\nAnswer: -3*(u - 1)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2677*f = 2679*f + 9, 4*z = -3*f + 25 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2)*3 - 14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*q - 4*o + 8*o, -5*o = -q + 38. What is the greatest common divisor of q and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23074 and 325.\nAnswer: 7499050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90 + -96.9. Let n = 6.8853 + y. Round n to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2589155664?\nAnswer: 2, 3, 53940743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 x, and 1 p when three letters picked without replacement from {s: 1, x: 3, p: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 - 3*p**2 - 2*p. Let w be 4\/14 - 2\/7. Suppose -4*j + 2 + 14 = w. Let k(h) = -4*h - 8*h**2 + h**2 - 380*h**3 + 367*h**3. Give j*k(c) - 9*v(c).\nAnswer: 2*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/4))**38*(u*u*u**13*u*u*u)\/u**(-1) assuming u is positive.\nAnswer: u**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239 = -2*d - 235 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 + -76. What is the remainder when b is divided by (6\/(-4))\/(24\/(-144))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from ebbbbbbb?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -r - 3*r - 116, -36*i = -37*i. Sort 0.1, r, 2\/5, 0.52 in ascending order.\nAnswer: r, 0.1, 2\/5, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74*d**2 + 165*d**3 + 77*d**2 + 108*d**3 - 58 - 1108 - 360 wrt d?\nAnswer: 819*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255325.41 microseconds in hours?\nAnswer: 0.000070923725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 26 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 779 in 0.094, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4351862710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.4, -66, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.13 from -2199.\nAnswer: -2198.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1585\/2 - -757. Let y = -36 - j. Suppose -2*l - 13 = -w, -1 - 9 = -2*w. Is l bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*-2 + -152*(-120)\/1140. Let j = -10 - 0. Put j, c, -2 in descending order.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*t + 8*t - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -164*k. Let a(p) be the second derivative of -1\/12*p**4 + 0*p**2 + 0*p**3 + 23 - 2*p. Determine a(y(d)).\nAnswer: -26896*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7497.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 989\/7 + 148\/(-518)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36578\/4305 + -314\/41. Find the common denominator of z and 44\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-7) - (-27)\/3. Let x = 6 - h. Let m be x\/(-2) - (-7)\/42. What is the smallest value in -5, m, 5\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49523091 to the power of 1\/2, to the nearest integer?\nAnswer: 7037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4*(sqrt(891) + 3 + 1 + sqrt(891))*-5)**2 + -1)*4.\nAnswer: 230400*sqrt(11) + 5727992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4 - 3*r + 2*r + 5*r. Let y be p(4). Let u be 18\/(-4)*4\/y. What is the second smallest value in 4, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-512 + (-90)\/(-9))*(-4604)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/120 + k**5\/12 + k**4\/6 - k**3\/3 - 25*k**2. Is b(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*k**4*y**2 - 13*k**4*y - k**2*y**2 - 17*k**2 - 8*k*y - 2*k wrt k?\nAnswer: 1872*k*y**2 - 312*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -895498*b*p**5 - 14*b*p + 7*b + 18*p**2 - 634*p + 21 wrt p.\nAnswer: -17909960*b*p**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -18*y**3 + 61*y**2 - 3057*y + 11. Let r(f) = 8*f**3 - 32*f**2 + 1529*f - 6. Let s(i) = 6*c(i) + 11*r(i). What is the second derivative of s(p) wrt p?\nAnswer: -120*p + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2155951km to nanometers.\nAnswer: 215595100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855154381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -37 + 18 + f**2 + 7 - f + 11. Let c(s) = -8*s**2 + 11*s + 11. Let i(b) = 2*c(b) + 22*v(b). Let m(q) = -27*q**2. Determine i(m(h)).\nAnswer: 4374*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 971 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 90 = 27. Suppose u = -s - 10. Let k = u - -44. What is the highest common factor of k and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 - 16182*o**2 + 1866537*o - 1850352 = 0 for o.\nAnswer: -5507, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 711 - -1062515?\nAnswer: 1063326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591785307?\nAnswer: 3, 43, 109, 14029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 17*p + 677. Let x(c) = -95*c - 3381. Determine -11*f(u) - 2*x(u).\nAnswer: 3*u - 685","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/8 and 89\/27620.\nAnswer: 55240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*g - 14, -4*h + 0*h + 5*g = 21. Suppose -2*y + 12 = y. Sort h, -2, y.\nAnswer: -2, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 8601*g\/5 + 17182.\nAnswer: (g - 8591)*(g - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 15*b**2 - 23)*(19 - 19 - b**2 + (4*b**2 - b**2 - 5*b**2)*(9 + 16 - 9)) in the form h + v*b**4 + r*b + m*b**3 + p*b**2 and give v.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i**3 - i**2 + 3*i - 2. Let r be g(1). Suppose 31*b = r*b + 6636. What is b rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -210*p**2 - 415*p - 4. What is g(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(220)\/(sqrt(44)\/(sqrt(16)\/sqrt(4))))\/(sqrt(100) + (sqrt(100) + -6*sqrt(100) + sqrt(100))*2 + sqrt(100)).\nAnswer: -sqrt(5)\/30 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-3)\/9) + (-3160)\/12. Is -264 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 4*l**2 - 3*l. Let p be m(2). Calculate the remainder when -5*3*45\/(-25) is divided by 6\/p + (-364)\/(-49).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(-14) - 135\/2. Let v = z - -133. Suppose 5*l + j - v = 0, 5*l - 70 = 5*j - 10. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415 + -550?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14987125.\nAnswer: 5, 47, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:05 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*g**4 - 36*g**4 + 35*g**4)*(6 + 206 + 51 + 121).\nAnswer: 10368*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(190) + -6*sqrt(190) - sqrt(190)))\/sqrt(10) + -2 - -6*(-3 + -4*sqrt(475))**2.\nAnswer: 714*sqrt(19) + 45652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39*(-19)\/(-114)*10\/13. Solve 0 = l - 2*x - 5, 10*x - z*x + 2 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2551*g**2 - 5133*g**2 + 2533*g**2 + g**3.\nAnswer: g**3 - 49*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 9.6, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - i = 8178, 0 = -4*q + 3*i + 12111 + 4239. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066553.\nAnswer: 3, 31, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:15 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -3*x. List the prime factors of x + (-1 - -1) - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:09 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -7*h**3\/6 + 3*h**2\/2 - 6*h. What is the first derivative of q(t) wrt t?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -24. Suppose 11*d + a = 15*d. Sort -4, -3, -1, d in descending order.\nAnswer: d, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*v**5 - 26*v**3 + 42*v**2 - 3*v + 22 wrt v?\nAnswer: -7620*v**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 564395656 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39846436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/8239 or 1?\nAnswer: -10\/8239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or -16?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*a - 129, -42 = -3*a - l + 105. What is the least common multiple of a and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 0 (c) -0.1294\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.03165834 + 0.3\nAnswer: 0.26834166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.963 - 13. Let g = 0.963 - s. What is the closest to 0.1 in -0.5, g, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888669 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: Suppose 2*s**5 - 9*s**4 - 469*s**3 + 723*s**2 + 467*s - 714 = 0. What is s?\nAnswer: -14, -1, 1, 3\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 + -6756552305.\nAnswer: -6756552304.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**2 - 4*z + 24. Let m be s(4). Which is smaller: -406\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 + -72. Let r be 4\/6 - 12\/9. What is the closest to r in -0.3, m, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24002 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1129 - -3385\/3. What is the nearest to -1 in 0, h, 100?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.2817 millennia in years?\nAnswer: 443281.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 6. Let w(r) = 2*r + 7. Let g be (-34)\/(-10) + (-18)\/45. Suppose -g*p - 4*d - 17 = 0, -1 - 3 = -4*d. Determine p*k(l) - 6*w(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbbqbbbb. Give prob of sequence bqq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46404 and 16?\nAnswer: 185616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*n**5 + 9*n**2 + 281*n.\nAnswer: 300*n**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -277*l. Let j(g) = g**2. Give j(f(m)).\nAnswer: 76729*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 + 129*b - 3.\nAnswer: 129*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.7 - 8. Let f = t + -0.2. Let i = 3.1 + -3. Do f and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcjrrrcjircjr. What is prob of sequence jc?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445 = -6*a + 4*r + 1455, -a = 4*r - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54.5 - -44. Let i = 5418 - 5407. Let s = i + v. Which is the nearest to 1\/3? (a) -0.5 (b) 0.08 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let y(f) = 62*f - 130*f + 10 - 1 + 50*f. Calculate v(y(r)).\nAnswer: 324*r**2 - 324*r + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 3*n**5\/4 + 7*n**2\/2 + 21*n. Differentiate c(j) wrt j.\nAnswer: 45*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142585719.\nAnswer: 33107, 64717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/844172 and 113\/9198?\nAnswer: 7597548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27318074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 989 and 141289.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79504401 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-19)\/(-3))\/((-1)\/(-3)). Suppose -39*i = -0*i - 5187. Calculate the highest common factor of i and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 13*h + 4. Let w = -15 + 28. Let n be x(w). Solve 5*y - 30 = -5*o, -n*y - 9 = -25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**3 + 4*j**2 + 10*j - 95. Let o(p) = -7*p**3 + 3*p**2 + 7*p - 64. Let d(z) = -5*h(z) + 7*o(z). Calculate d(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 60812 = -99*m + 101*m, -5*h - 5*m + 60830 = 0. Is h a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 1 - 1)*(1 - 1 + 2) + 8 - 8 - 5*u)*(-1014 + 1809 + 76*u - 74*u).\nAnswer: -14*u**2 - 5565*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 659191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(80) + -3)*2 + ((sqrt(80)*-3 + sqrt(80))*6 + 0)**2 + 5).\nAnswer: -240*sqrt(5) + 69330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1431 (base 7) to base 8.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o + 38. Let k = -19 - o. Solve k*s = 2*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13670171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/12)\/(12\/(-300)*10)?\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29497027 and 2534.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 8, 0.4, -64, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1203 and 51959575.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.38 + 3.62. Let d = s - 3.8. What is the biggest value in 4, -4, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33.1548725855 and -5.\nAnswer: 28.1548725855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100212211 (base 3) to base 2.\nAnswer: 110100100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, -4 in decreasing order.\nAnswer: 3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 35*w - 8. What is t(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, k: 1, w: 1, r: 2}. What is prob of picking 2 r, 1 k, and 1 w?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3289 (base 16) to base 2\nAnswer: 11001010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*r**4 + (9210 - 9210 + 53*r**3)*(2*r + 0*r - r).\nAnswer: 55*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 32\/3 (b) -8 (c) -0.0726\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - 3*sqrt(14)*-1)\/(1*(5*sqrt(2) - sqrt(2))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210202 + -3431?\nAnswer: -214133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btfttbttm. Give prob of sequence fbm.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 307.3813g in tonnes?\nAnswer: 0.0003073813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -78.0000074. Round u to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 4*v**2 + 96*v - 13. Determine l(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/93636 and 23\/2232.\nAnswer: 5805432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 4. Let p = -7 - -12. Determine y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004824268 rounded to six dps?\nAnswer: 0.000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 222097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*j - 9, 2*a + 5*j = -3*a + 15. Suppose -3*p = -a*g + 2*p + 208, -2*g = 4*p - 208. Let b = g - 103. Sort 0, b, -2, 6 in descending order.\nAnswer: 6, b, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0032 + 0.05\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1532*g + 1568*g + 6 + 55*g**4 - 1 - 4*g**5 + 2*g**5 wrt g?\nAnswer: -40*g**3 + 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 - 1 + 0*d**3 + 3*d**3 - 2*d**3 + d**4 to the form h*d**4 + g + w*d + q*d**2 + c*d**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*y**2 + 8\/9 - 8\/9*y.\nAnswer: 2*(y - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7357, 1\/95, 7\/2.\nAnswer: -7357, 1\/95, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:18 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:41 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(425) + 0)*4 - (0 + sqrt(425) + 0) - -5*(sqrt(425) + (sqrt(425) - ((sqrt(425) - -1*sqrt(425)) + sqrt(425))) + 2))**2*3.\nAnswer: -3600*sqrt(17) + 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + p - 22, 0 = 2*p + 6. Which is the closest to -0.1? (a) n (b) 12 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + x + 6. Let g(i) = i**2 + 10*i + 21. Let y be g(-6). Let p be m(y). What are the prime factors of (6\/4)\/(p\/(-368))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -160200 and -1483125.\nAnswer: -1643325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 107, 121, 159, 233, 355, 537, 791?\n\"Answer: 2*m**3 + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**5\/8 - 3*y**4 - 3*y**3\/2.\nAnswer: 3*y**3*(y - 2)*(5*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7549 + 4?\nAnswer: 754d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/67)\/(p*p*p\/(p**(-9\/10)*p*p)*p*p) assuming p is positive.\nAnswer: p**(-2593\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -57. Let a = -15 - x. Calculate the remainder when 22 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7771853*k**2*m**2 + 50242*k**2 + 85*k*m wrt m.\nAnswer: -15543706*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -1\/154 (c) 1073\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 31*h + 30. What is the units digit of s(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = -24. Let m(v) = v**3 - 10*v**2 + 6*v - 16. Let u be m(n). Let r = 101 + u. Solve r*j + d = -15, -2*d - d = 2*j + 19 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47860 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 612 = 2*f. Suppose -4*k - 40 = -f. Calculate the remainder when k is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 30, -3, -1, 79 in ascending order.\nAnswer: -3, -1, 0, 30, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1999, -2077, -2157, -2239, -2323, -2409, -2497?\nAnswer: -2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-32))\/((-3)\/(-10))*1. What is the second derivative of 3*l + 39*l**b - 2*l**4 + 33*l**5 - 73*l**5 wrt l?\nAnswer: -20*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 6*h - h + 3 - 12*h. Suppose 5*m - 35 + 0 = 0. Let t be q(m). Solve 4*o = -a + 21, -o = a - 3*o + t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 3, q: 3}. Give prob of sequence vv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 383 and 1.5886045472.\nAnswer: 384.5886045472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 8*o + 203.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34294 is divided by 5682?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 566550*b**3 + 10*b**2 + 4*b + 955?\nAnswer: 3399300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let u be (-4 + 0)*4\/16. Let b(s) = s - 2. Let g(k) = u*b(k) - 2*w(k). Suppose o - 3*d = -9, -5*d + 42 = 4*o + 10. What is g(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/3 + 1702*g\/3 + 1700\/3 = 0. Calculate g.\nAnswer: -850, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13103113 (base 4) to base 12.\nAnswer: -15387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:31 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 23 - 29 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfnt when four letters picked without replacement from {n: 2, k: 1, t: 1, f: 4, g: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j - 1. Suppose -2*n - 3*n = 2*a - 596, 350 = j*n + 5*a. Suppose -6*d + 2*d = -n. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 38*g**2 - 30*g - 253. What are the prime factors of b(-40)?\nAnswer: 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1661.48118s to days.\nAnswer: 0.01923010625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4 = 2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxssxxx. Give prob of picking 2 s.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7707, -8019, -8857, -10485, -13167, -17167?\n\"Answer: -44*b**3 + b**2 - 7*b - 7657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 467 and 344612843.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*h - 18 = -5, h = -4*p - 45. Let z = -11 - p. Suppose 5*j - 5*k = z, j - 3*j = 2*k + 4. Which is smaller: 2\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 245 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3073, -3292, -3597, -3970, -4393, -4848, -5317?\nAnswer: -5782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/7 + 3\/7. Let i(y) be the third derivative of -y**4\/24 + 10*y**2. Let j be i(-1). Is l at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154867165\/18 - -8605880. Let u = 2152 - c. Let t = 315511\/54 + -5841. Calculate the common denominator of u and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3 - 5*f**2 + 6*f**2 + 3 + 4 + 11*f. Let p be g(-12). Solve p = -4*j - 0*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 5. Suppose 7*b - 12 = 4*b. Let v be (6\/(-9))\/(b\/(-30)). What is m(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*u - 18*c, 2*u - 5*c - 82 = -0*u. Calculate the remainder when 1249 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/70)\/(6\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 4*i - 1. Suppose w - 30 = 5*x - 0*x, 10 = 2*w. Let y(s) = 7*s**2 - 9*s + 3. Calculate x*k(v) - 2*y(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 = -7*g - 239. Let z = 123 + g. Suppose -1975 = -z*n + 2630. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4230765 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 41905875.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 28. Let i = u + -10. Sort 5, i, 2 in ascending order.\nAnswer: 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 22. Let f be g(10). Solve -f*j - 6 = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 61, 3 in descending order.\nAnswer: 61, 3, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*c + 8. Solve -4*l + c*l = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q**2 + q**2 + q**2)*(3*q**2 - 3*q**2 - 2*q**2) - 18391*q + 18391*q - 90*q**4 to the form r*q**2 + i*q**4 + a + u*q**3 + b*q and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -7*g**6\/120 - 7*g**5\/60 - 4*g**2 + 8*g. Let d(m) be the first derivative of u(m). Find the third derivative of d(n) wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*u - 3*s, -2*u + s + 2 = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 109290538 less than 21950?\nAnswer: -109268588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -10684441\nAnswer: 64106646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 0, 30*u + 3*k + 6 = 26*u. Let j = 565 + -76839\/136. Are u and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.33 (b) 2\/9 (c) -1\/3 (d) -3\/2 (e) 0.06 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26803 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 16*r**2 - 4*r - 64. Let u be d(-16). Let k = 6 + -2. Solve -x + 4*l + 13 = u, k*x + x + l + 19 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -1 + 7*f + 1\/3*f**3 - 1\/2*f**2. What are the prime factors of s(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136782 and 1887?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39115695 - -1171804091\/30. Let v = j - -55564. Calculate the common denominator of v and 95\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/603069 and -74\/33?\nAnswer: 6633759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -572 * 4\nAnswer: -2288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.053 and 6610.\nAnswer: -350.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/22672 and -67\/15696.\nAnswer: 204048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -51*x**2 + 100*x**2 - 47*x**2. Let q(v) = -213*v**2. Determine w(q(t)).\nAnswer: 90738*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millisecond in microseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 31*s**2 + 59*s - 17. Let t be l(29). Suppose 3*x - 36 = t. What is the least common multiple of 72 and x?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 11 + 13 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -5)*(-1)\/(-3). Suppose 0 = 3*u - 4*j, 0*u + 5*j = f*u. Which is smaller: -2\/13 or u?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/24)\/u)\/(u*u*(u\/u**(-2\/45))\/u)*u*u**6*u*u**(-2\/33)*u assuming u is positive.\nAnswer: u**(23179\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*m - 26, -3*u - 83*m + 16 = -85*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -24*j**3 - 21*j**2 + 69. Let i(t) = 6*t**3 + 5*t**2 - 17. Let l(m) = 21*i(m) + 5*x(m). What is the first derivative of l(k) wrt k?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25636?\nAnswer: 2, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1487243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) - (38 + -49 - (-212)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from nnvnnnnvvvnnnnvvnn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 - 35*b**2 - 24*b - 53. Let k(x) = -3*x**3 - 19*x**2 - 13*x - 27. Let l(d) = -4*i(d) + 7*k(d). Determine l(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:15 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20293214*a**3*z**2 + 917891*a**3*z - z wrt z.\nAnswer: 40586428*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47280451*o**3 + 136747188*o wrt o.\nAnswer: 283682706*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 3. Let m be d(-8). Calculate the highest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 r, and 1 m when four letters picked without replacement from {k: 2, m: 1, y: 4, r: 1, h: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2676052, 1 in decreasing order.\nAnswer: 1, -5, -2676052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - (6 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13393 and 6380743.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15212*s - 1394*s**2 + 55*s**2 - 15206*s - 15221*s + 45639*s.\nAnswer: -1339*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 1675*g - 1681*g = -15, -3*k - 5*g = -18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/30 - y**2\/2 - 3*y. Let f(c) be the first derivative of s(c). Let k(d) = 2 + d - 2. Give f(k(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 73*g + 5*g + 125*g - 23*g.\nAnswer: 180*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**3 + 25 + 190*p**2 - 38*p**3 + 19*p**3.\nAnswer: p**3 + 190*p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 7 = -2*o + 5*t + 26, 5*o + 4*t = 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 2*o**3 + 2*o**3 + (0*o - 2*o + 3*o)*(74*o**2 + 445*o**2 + 77*o**2) as k*o**3 + q*o**2 + v + b*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/173536463 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 38.01?\nAnswer: -38.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23525, 47051, 70577, 94103?\nAnswer: 117629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -15\/2, 5, -53 in ascending order.\nAnswer: -53, -15\/2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 5*j + 9*j)*(-1 + 1 + 2) to t + y*j and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -14854660 greater than -14854657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-11 + -5)) + (-1 - 9) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/11 and (-156)\/(-2)*((-246)\/48 - -5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(1 - -3) + 0. Solve 2*p = -a*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/1*6 + -3 + 203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**3\/6 - 175*p. Let d(n) = 3*n - 8. Calculate j(d(b)).\nAnswer: 3*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 63, 71, 51, -3, -97?\n\"Answer: -w**3 - 5*w**2 + 52*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 2*w - 16*w. Suppose t - 8 + 4 = 0, w*k + t - 4439 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akfyl. What is prob of sequence al?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -130, 1 in increasing order.\nAnswer: -130, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19823323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199656745?\nAnswer: 5, 103, 387683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnm when three letters picked without replacement from nnmmnm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1745 - 1744. Which is smaller: i or -21\/1054?\nAnswer: -21\/1054","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 + 2 - 4*g**3 + 2*g**4 - 5*g**2 - 3*g**5 + 2*g + 5*g**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -21915855.\nAnswer: 6574756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -85*a + 4530. Let p(w) = 13*w - 755. What is -13*p(n) - 2*z(n)?\nAnswer: n + 755","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00846 plus -0.04?\nAnswer: -0.04846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from wqwwwqgqggv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8115699 and 873.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-169)\/1300 - 10\/(-40). What is the third biggest value in 3\/8, 1\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95551\/4730 + -1\/946. Let n = m - 1303\/65. Let x = -15 - -15.5. Which is the second biggest value? (a) x (b) n (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.09375335238 and -37?\nAnswer: 36.90624664762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61862.91nm to millimeters.\nAnswer: 0.06186291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96374080639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4520*g + 11108 + 42751 = -45581 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 18. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 20, 2*i - 49 = -2*w - 5. Let r = i - -5. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133817.9um in meters?\nAnswer: 0.1338179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2\/19, 3\/7, 21, 3\/10 in descending order.\nAnswer: 21, 5, 3\/7, 3\/10, 0, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*r**3 + 12223003*r**2 - 12223003*r**2 + 538*r**3 - 3 + 3.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 4 in decreasing order.\nAnswer: 12, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -20*c + 52. Let j(o) = 3*o - 8. Suppose -2*u + 10 = -4*u. Let f(b) = u*r(b) - 32*j(b). What are the prime factors of f(15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 8*c**2 - c - 10. Let b(p) = -p**3 - 22*p**2 + 48*p + 11. Let g be b(-24). Suppose -5*v + 48 = -g*v. Calculate o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5920606.\nAnswer: 2, 2960303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150482 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**2*r**2 - 66*j**2*r + 2*j**2 - 15*r**2 wrt r.\nAnswer: 14*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 172.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*c*o**2 - c*u**2 - 7*c*u + o**2*u**2 + 7071*o*u**2 wrt c.\nAnswer: 28*o**2 - u**2 - 7*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5175208 and 102136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -4, 2*y - 2*f - 12 = 0. Suppose x = -y*x + 5*o + 50, -3*o - 10 = -x. Let t be (-24)\/30 - 352\/x. Do t and -36 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -1\/60*t**5 - 2*t**2 - 1\/120*t**6 + 1\/6*t**3 + 0*t + 0*t**4 + 0. Let l be p(-1). Solve 3 + l = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192, 475, 916, 1509, 2248, 3127?\nAnswer: 4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + 3*sqrt(891) + 4 + 5.\nAnswer: 5 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 748 or -573?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 874 times 34387\nAnswer: 30054238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 654.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -6. Suppose t - 3 = -o. Suppose o*q - 3*q + 32 = 0. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 + (74 - 13))\/(-1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25259 divided by -8?\nAnswer: -25259\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17800 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhmlq. Give prob of picking 1 l, 1 q, 1 m, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 + 1113 - 63*y + 43.\nAnswer: -63*y + 1006","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 + 92. Let m(p) be the second derivative of 7\/12*p**4 + 2*p + 0*p**2 + 0*p**3 + 0. Calculate l(m(v)).\nAnswer: 49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 1. Let f be m(-1). Let z be (1 - 2)*f\/25. Let x = -2\/25 - z. Which is the nearest to 2\/3? (a) -2\/17 (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 39. Let o be 6\/(-24) - a\/(-4). Let n(u) = 2100001*u**2 - u. Let d be n(o). What is d rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, 5, 19, -5.8 in ascending order.\nAnswer: -5.8, 2\/3, 3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -3*h - 7041. Let a = h + -654. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 80688.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - -663007?\nAnswer: 663016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 - 3 = 2*i, -y - 7 = i. Let b be (4\/y)\/(2\/(-10)). Suppose b*t - 2*q + q - 7 = 0, -4*q - 17 = 3*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p + 39*p + 77*p**3 - 13*p + 63*p**3 - 144*p**2 - 12*p.\nAnswer: 4*p*(p - 1)*(35*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {g: 14, p: 1, o: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2292464 - -1563351. Let r = -729102.89821 - q. Let s = -10.1 + r. Round s to four dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s. Let l(j) be the second derivative of j**7\/840 + j**6\/360 - j**4\/12 + j**3\/3 - 2*j. Let g(f) be the second derivative of l(f). Give g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 125 = -2*s, 118 = -47*a + 48*a - 5*s. Let v(q) = 3*q**2 - 2*q + 3. Let y be v(-6). Is a less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4*4\/3. Let q(o) = o**3 + 5*o**2 - 13. Let p be q(-4). Which is the third biggest value? (a) 0 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -206, -400, -540, -626, -658, -636?\n\"Answer: 27*x**2 - 275*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*2\/42 - 849\/(-1260). Let y(v) be the third derivative of 0 - 7\/6*v**4 + 2\/3*v**3 - 2*v**2 + 0*v + z*v**5. Find g, given that y(g) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*y + 4*b, -4*y + 4*b + 55 = y. Let h(p) = 12*p + 0 - y*p + 0. Let x(q) = q**2. Determine h(x(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(84\/(-76) + 1). Let z = 161 + u. Suppose j + 2*j - z = 0. Calculate the common denominator of j and 14\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -72. Let w = 38 + o. Which is the biggest value? (a) 2 (b) w (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 24\/12*(-34)\/4. Let h(l) = 38*l - 82. What is the units digit of h(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3\/(-2))\/(42\/(-84)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2128.5 + -2124.5. What is the fifth biggest value in -197, w, -0.5, 1, -3?\nAnswer: -197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 6*s**2 + 3*s - 7. Let f = -7 + -2. Let i = f + 4. Let n be v(i). Put -5, n, 11 in decreasing order.\nAnswer: 11, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4751243590?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let s(o) be the second derivative of 1\/6*o**4 + 0*o**3 + 0 + 1\/2*o**2 - 2*o. Let q(v) be the first derivative of s(v). Determine b(q(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 46 = -7*o, -148*o = 3*l - 143*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p**5 + p)*(-118 + 100 - 685 + (3 + 2 - 3)*(-4 + 2 + 0) + 0 - 5 - 6).\nAnswer: -718*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z - 9. Let h(g) = -5*g - 1. Let q be h(-2). Does 9 divide a(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:26 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/10686 and -79\/822.\nAnswer: 10686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/26 - 4020\/(-325). Are l and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6432\/5 + 45014\/35. Which is the nearest to -1\/4? (a) 1\/4 (b) 1 (c) q (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 394 - -2?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3375482 and 1722317?\nAnswer: 2690259154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1097565 tonnes?\nAnswer: 109.7565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y - 18. Let j(f) = -7*f + 14. Let w(m) = 5*j(m) + 4*x(m). Let b(u) = 1066*u + 143. What is -2*b(s) - 143*w(s)?\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1333 - -1051. What is the third smallest value in r, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -15. Let v be f\/10*(0 + -2). What are the prime factors of v*1\/1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 25*i. Let c(l) = -620006*l. Determine c(m(u)).\nAnswer: -15500150*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 - 4.69. What is the third biggest value in -0.2, 2\/11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*m + 64, -l + 4*l + m = 39. Suppose 0 = -3*k - l + 14. Suppose -8*n + 54 + 26 = k. Calculate the smallest common multiple of 7 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/((-6)\/210*-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 15*t - 255 = -143 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**4\/12 + 2*v**2. Let u be h(-1). Let g(z) = -3*z + 2*z - 2*z + u*z. Let o(l) = 3*l. Determine g(o(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -66375 (base 8) in base 5?\nAnswer: -1343101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/4 - k**3 - 2*k**2 - 3*k - 1. Let w = -13260 - -13258. Let h(g) = -2*g**2 - 3*g + 3 - 1 - 4. Give w*c(t) + 3*h(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 5:16 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 0, r = 5*r + 2*z + 784. Let q = 201 + r. Calculate the highest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19306?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 12. Let y be v(0). Suppose 20 = 2*u + y. Solve g = -u - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 6 - 3. Let b = -8 + f. Sort -2, b, 0 in decreasing order.\nAnswer: 0, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 2:45 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2430885, 2431020, 2431167, 2431332, 2431521, 2431740?\n\"Answer: u**3 + 128*u + 2430756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 837, 3, 0, 5, -69, -8, 4 in decreasing order.\nAnswer: 837, 5, 4, 3, 0, -8, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 5*a - a)*(-2*a**3 - 2*a**3 + 7*a**3) + (-7*a**2 + 3*a**2 + 3*a**2)*(2*a**2 + 0 + 0).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246725644?\nAnswer: 2, 11, 5607401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 7*y + 7. Let j(x) = -x**3 + 601*x**2 - 601*x**2 - 5 - 5*x. What is 5*a(m) + 7*j(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 13, 4, 2\/9, 1\/7 in decreasing order.\nAnswer: 13, 4, 2\/9, 1\/7, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgaggqgmmqa. Give prob of picking 1 g, 2 q, and 1 m.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1414*m**2 - 87*m + 2. What is the ten thousands digit of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -15. Suppose 5 = -t - 2*j - 0*j, -l*t = 4*j + 1. Suppose 5*y = -t + 18. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40215498 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11096085 and 1008735?\nAnswer: 11096085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29091 is divided by 4764?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -6 - (9 + -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + f + 0*f)*(2 - 2 - 1) + (-1 + 3*f + 1)*(-2 - 1 + 1) as m*f + v and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, -2, -1\/11, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1553 + -1529. What is the greatest common divisor of 4836 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a2 + -59?\nAnswer: -20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31486753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25592740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 8276465?\nAnswer: -6\/8276465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 8*o**2 + 18*o - 3. Let w be i(4). Let a(h) = -w - h + 32 - 14. What is the remainder when 69 is divided by a(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/20)\/(4\/((-160)\/15)). What is the nearest to -1.5 in 1\/4, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**2\/2 + 16*j + 14. List the prime factors of q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 40 = -2*i. Suppose 3*j = 4*g + 36, -4*j + 58 - i = -g. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3011 + 3011 - 7*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/(w**0*w))\/(w**(-5)*w\/(w**4*w*w)) assuming w is positive.\nAnswer: w**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2. Let p be 0*(-1)\/4 - -2. Determine s(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7984107 and 113277?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168087?\nAnswer: 3, 43, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/56)\/((-90)\/28).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 8.3351?\nAnswer: 0.333404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4148 divided by 2?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 60*r + 88. Let o be z(-10). What is the second smallest value in 25, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33334805700 to the nearest one million.\nAnswer: -33335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 984 and 984 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 2*7 + 669852\/(-29118))\/(20\/(-40))\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + 3*i - 6*i - 38*i - 106*i to p + a*i and give a.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5643 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 + f + 5. Suppose s + 22 = -5*y, -2*y = 3*s + 2 - 1. Let a be l(y). Solve -3*o = -a*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i + 1. Let c be s(-4). What is the first derivative of 9*u**4 - 4*u**4 + 1 + 21*u**3 - c*u**3 wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1279006 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 28 + z**3 - 45 + 28 + 2*z + 6*z**2. What is the units digit of p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -25*u**2 + 14*u + 1. Let b(y) = y**2 + y + 1. Let l(o) = a(o) + 2*b(o). Let j be l(7). Let f = -566 - j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -9*r**5\/4 - 68475*r**4\/2 + 2450757*r**3 - 90711537*r**2\/2 + 227940405*r\/4 - 14045850 = 0.\nAnswer: -15288, 1\/3, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 9814*q + 0*q**3 + 9816*q.\nAnswer: 3*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/12)\/(40\/((-5120)\/96))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 168915613.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 15 - 65. Let g = 7 + f. Which is smaller: g or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37845342088*l + 6*l**3 - 37845342088*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1317 greater than -495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 302 + 11*i**2 - 300 + 0*i - i.\nAnswer: 11*i**2 - 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(-50)*l**(-5)\/l*l**(-1\/14)\/l*l assuming l is positive.\nAnswer: l**(-2165\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**3 + 4*a. Let t(l) = 8*l**3 - 9*l. Determine -9*p(n) - 4*t(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0904503 + -0.0905. What is p rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/7 - 1705728*a\/7 + 181844250624\/7.\nAnswer: 4*(a - 213216)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 12:32 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t**2 + 4*t - 6. Let k(x) = 21 + 32*x**2 - 42*x + 29*x - 4. Let b(o) = -17*h(o) - 6*k(o). Let b(u) = 0. What is u?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, 0.052, -2?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 277\/21649 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 3*c - 2. Let p(d) = 5 + 2*d**2 - 6 - 3*d**2 + 2*d**2. What is 2*p(g) - r(g)?\nAnswer: g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 268683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) + sqrt(14)\/sqrt(32)))**2 - (sqrt(567)*-4)**2.\nAnswer: -140777\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -61. Let p(t) = t**2 - 6*t - 71. Let k be p(g). Let x = 13 - 8. Solve x = y + k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - 0. Let u = 0.35 - s. Which is the closest to 0.1? (a) 3 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602946 by -200982.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6*u - 3*u + 48, 4*l + 2*u + 56 = 0. Let h(b) = -7*b + 2. Let a be h(2). Is l smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152 + 250. Let g = x + -186. Let v = -87.999963 - g. Round v to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-473 + 463 + 799)*(-6*q + 0 - 6 + 9*q) in the form g + n*q and give n.\nAnswer: 2367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -4396?\nAnswer: -1318.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from qicciskkkclil.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*v = -104*v + 4250. Suppose m - 208 = -5*y + 70, 3*m - y = v. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*m + 343*m - 21849 = 35*m - 18897 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140a1 (base 12) to base 7.\nAnswer: -143650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15\/8)*p*p*p*p*p*(p*p\/((p*p**(13\/4))\/p))\/p*p*p\/(p*p*p**(1\/23))*p**(-2\/55) assuming p is positive.\nAnswer: p**(8047\/10120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103276 to the power of 1\/2, to the nearest integer?\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -16*h**2 - 26*h + 107. What is the units digit of c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24849058 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -502.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2243 + -5?\nAnswer: 2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2171*s**5 + 2*s**2 + 2363*s?\nAnswer: 43420*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(98) + -4 - (-5 + -5 + sqrt(2) + 3))**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20604*q**3 + 20603*q**3 + 20602*q**3 - 123390*q**3 + 20360*q**3 + 20609*q**3 + 20608*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500\/(-10)*(4\/14)\/(1152\/(-1008)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 12, -1, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**2*x*z + 143905*b**2*x + 13*b**2*z - 847*x*z + 2*x - 974 wrt b.\nAnswer: -8*b*x*z + 287810*b*x + 26*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1040732.\nAnswer: 2, 7, 11, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.8 - -2.772. Let o = h + -10.972. Let q = -10.999884 - o. What is q rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t + 4. Let c be g(3). Suppose 3*v + c = 8*v. What is the highest common divisor of 56 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1331))**2 + (sqrt(704) - sqrt(704)*2)**2 + sqrt(704).\nAnswer: -80*sqrt(11) + 2051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71184802 to the power of 1\/3, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 10*g - 10. Suppose 2807 = 5*k + g*w, k - 821 + 262 = 2*w. Is 33 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/115*(-200)\/(-560)*(98\/(-360))\/7?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + sqrt(162) + (sqrt(162) + sqrt(162) + -1 + sqrt(162))**2 + 2)*1.\nAnswer: -36*sqrt(2) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*(8528\/(-574) + 24\/28)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2813*n + 709*n - 1156 - 1255 wrt n?\nAnswer: 3522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**2 - 3701 + 10722 - 19*p**2 + 17*p - 21*p.\nAnswer: -52*p**2 - 4*p + 7021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2143389?\nAnswer: 3, 714463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 429*b + 4602. Give x(-418).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*v + 226*v - 88*v - 140*v.\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.074 - -0.026.\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 13*z**2 + 12*z - 17. Let y(i) = 12*i**2 + 10*i - 16. Give -5*l(g) + 6*y(g).\nAnswer: 7*g**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8557295 divided by 57\nAnswer: -8557295\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(0 + 1 + 1)*(995*w + 69 - 494*w - 497*w) to q*w + s and give s.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2806221 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 20*m**2 + 9*m. Let z be o(-1). Solve -11 + 22 = z*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/78)\/(40\/1080).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 + 24*w - 30 + (-2 + 6 - 2)*(-w + w - 2*w).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12409712.69 rounded to the nearest 1000?\nAnswer: -12410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 - 24\/(-15). Let o(h) = -7 - h**2 + t*h**2 + 9*h + 0*h - 2*h**2. What is o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16796 and 9386.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119 and 42.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4718 is divided by 92?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -12*o + 157. Calculate j(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r**2 + 0*r)*(-2*r + 0 + 0)*(-22 + 22 - 8*r).\nAnswer: -48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*n - 351, 36*n - 234 = 34*n - 4*o. Solve -n = 3*j - 111 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 51 = 15*c + 370 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -h**3\/2 + 2*h**2. Let c(i) = -2 - 19*i**2 - 2 + 18*i**2 + 3. Give 3*c(b) - v(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.00572 (b) -4 (c) 258 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 702\/2106*318\/(-2)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 1 - 1)*(-2 + 2 + 1)*(-4 + 1 + 2)*(43 - 1 - 10)*(0 + 3 + 2).\nAnswer: 320*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-24) + (-78)\/(-144). Let c be (-55)\/(-20) + 2\/8. Let a = -211.09 - -211. What is the nearest to -1\/2 in a, d, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2471388 and -0.01.\nAnswer: -2471388.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -94291 - -1?\nAnswer: -94290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 10, -2\/7, 1\/5, -0.02?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1029)\/(-13) + (-4)\/26 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let k = 1642.2 - 1642. Which is the closest to k? (a) 1 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1872.55 - -3.55. Let w = 2091.7 + p. What is w rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428634, 428636, 428638, 428640, 428642?\nAnswer: 428644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 3*j + 4*j)*(3 - 5 + 1) + (-2 + 0 + 3)*(-3 + 2*j + 3) + 2*j - 3*j - 2*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 6. Let o(j) = -6*j + 17. Let k(m) = 6*o(m) + 17*z(m). Let y(p) = -22*p**2. Let h(n) = -n**2. Let r(q) = 33*h(q) - y(q). What is k(r(u))?\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/68 and -99\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3724 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*o + 10*o**2 + 2*o**4 - 34*o - 4*o**4 in the form u + v*o**4 + z*o + c*o**3 + t*o**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174 and 733526.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v*v**0*v*(v**1)**2*(v**(-6\/11)\/(v*v**(2\/23)*v))\/(v**(-2)*v*v**(3\/2)) assuming v is positive.\nAnswer: v**(1451\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. What is the second smallest value in 2\/5, a, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 8*t + 108. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13099 rounded to the nearest one hundred?\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - -359. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - k = -5*k, 0 = -r - 2*k. Let x(v) = -v**3 + v**2 + v. Let n be x(r). Suppose n = -3*u - 19 + 25. Solve 2 = -j + u*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14648662 or -14648667?\nAnswer: -14648667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*s - 235296012 = 0, 7*s = -2*x + 9*s + 117647992. Suppose 7*o - x = -31*o. Round o to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, 78, -13, -816 in decreasing order.\nAnswer: 78, 22, 3, -13, -816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 13*b**4\/24 - 143*b**3\/6 - 50*b**2. Let o be g(11). Solve 3*c + 8*c + 33 = o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22724, 21095, 18382, 14585, 9704, 3739?\n\"Answer: -542*j**2 - 3*j + 23269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*w - 2*r + 9, 3*r + 9 = 0. Let d = -6 - -5.5. Sort d, -0.1, w.\nAnswer: d, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4962900 to the nearest 10000.\nAnswer: 4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-75))\/((-9)\/45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-17 - (25 + 41))) + (10 - (2 + -3)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 68*g**3 - g**2 - 2*g - 1. Let i be r(-1). Calculate the least common multiple of 2 and i\/(-3) - 4\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 - 0.2. Which is the second smallest value? (a) 2\/7 (b) 4\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 16*t + 8. Let v be (-9)\/(-1)*(-13 - -16). Let z be n(v). What is the greatest common divisor of z and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 11:00 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.7596506254 - -0.2403503846. Let j = a + -23. Round j to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1653 = 4*z - 3*i, 3*z - 5*i - 995 = 0. Suppose 90*v = 87*v + z. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11809979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/3 + 74*c**3 + 1084*c**2\/3 - 74*c - 1085\/3 = 0.\nAnswer: -217, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29885 (base 10) in base 13?\nAnswer: 107ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 2*o = 24. What is the third derivative of 5*w**4 - 5*w**4 + 22*w**o - 5*w**3 - 6*w**4 wrt w?\nAnswer: -144*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 5:28 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 + 4.93. Let w = -111.578 + 120.578. Which is the smallest value? (a) w (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*i - 3*b, -2*i - 551*b + 555*b + 22 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 4*o**2 - 30*o + 83. Determine r(8).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2999 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 5*o**2 + 13*o + 9. Let c be q(7). Solve 0 = -2*j + 3*j + 3*u - 8, 17 = -c*j + 5*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o - 14. Let y be i(-6). Factor -y*j**3 - 21*j**2 - 8*j - 16*j**2 - 23*j**2.\nAnswer: -4*j*(j + 1)*(13*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90214d (base 14) to base 15.\nAnswer: -65ad7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.5 (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/3249 + 44160\/17100?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 381524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57998.\nAnswer: 2, 47, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 75. Are 1\/2 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 198, 255, 282, 279, 246?\n\"Answer: -15*c**2 + 132*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108907885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.25 - 570.25. Let p = 564.99999242 + r. What is p rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**4 - 5*j + 5*j + (5 - 2*j - 5)*(j**3 - j**3 - j**3))*(7 + 2 + 5).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 29.6787.\nAnswer: -118.7148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35183\/124 + 450\/31. Let m = u - 303. Let q = -12419\/182 - -784\/13. Find the common denominator of q and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7.7. Let k be 10\/(-8) - 9\/(-36). Which is the nearest to -0.02? (a) k (b) u (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*j + 16 = 0. Solve d - 4*q - 4 = 0, j*d - 7 = 5*q - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**9\/3024 - y**6\/180 - y**3\/6 - 3*y**2. Let l(t) be the first derivative of q(t). Find the third derivative of l(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 r, and 1 n when four letters picked without replacement from rnanpnnapnnpwrrwnw?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 0*k**3 - k**5 + 5*k**3 + (k**3 + 3*k**3 - 3*k**3)*(0*k**2 - 2*k**2 + 3*k**2) + 6*k**5 - 2*k**5 - 3*k**5.\nAnswer: k**5 + 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**6\/40 - d**4\/8 + 3*d**2\/8 - 7*d. Factor x(v).\nAnswer: 3*(v - 1)**2*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 502\/22 - 2\/(-11). Let l(v) be the third derivative of v**4\/24 + 3*v**2. Let c be l(4). Solve c*m - 8 = -f, -5*m - 3*f + 5*f + y = 0 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 3\/5, 2\/5, 87, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, d: 4, z: 2}. What is prob of picking 1 z and 1 k?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4724572 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose 23 - 1 = 2*u. Suppose 0 = 5*o - y - 7 + 2, 0 = 2*o - 3*y + u. Solve -o*x = 3*g - 9, 4*x + q*g + 0*g = 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**2 - 3*h**2 + 0*h**2)*(h + 10 - 10)*(10 - 52 + 20)*(3 - 1 - 3) to the form x + m*h + p*h**2 + f*h**3 and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/73, 0.4, 1\/8 in decreasing order.\nAnswer: 0.4, 1\/8, 2\/73, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 13*s - 2. Let l be p(15). Factor -4*m**2 - 3*m - m - 36*m**4 + 38*m**4 + 27*m**3 - l*m**4 + 7*m**5.\nAnswer: m*(m - 2)*(m - 1)**2*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-35) - (-6)\/21. Suppose f*w = -0*w - 8, 2*t - 2882 = -3*w. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112100223 (base 4) to base 9\nAnswer: -148060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4550 is divided by 1515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -48, -65, -80, -93, -104, -113?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -334.641491 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(j + j - j) - 11*j - 21 - 133 + 27.\nAnswer: -10*j - 127","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 0.5. What is the third smallest value in 5, q, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3*r**5\/10 - 21*r**4\/2 - 30*r**3 + 566. Solve u(c) = 0 for c.\nAnswer: -2, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 60*w + 1. Let q be 2 - (-3)\/6*-6. Let b be z(q). Let x = -35 - b. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 18 (b) -10 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -48.177?\nAnswer: -19.2708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2 - 4 = -5*b, 0 = q + 2*b - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1809532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c - 220. Let u(k) = -3*k**2 - 56*k. Determine u(p(s)).\nAnswer: -48*s**2 + 5056*s - 132880","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1304 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3083.4535 and -23.\nAnswer: 3060.4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 43 + 27 + -74?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2473 + 3?\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000094517 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27409, 27415, 27417, 27415, 27409, 27399, 27385?\nAnswer: 27367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*g**3 + 5632*g**2 - 752499*g?\nAnswer: 192*g + 11264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324941128?\nAnswer: 2, 7, 23, 1028681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139\/20 - 27\/4. Let q = 450 - 447. Which is the second biggest value? (a) m (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217)\/14)\/(-31)*-2*(-3)\/9*-111?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5440\/18 + (-1 - 42\/(-54))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 12:29 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3, s: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 2\/13, 1\/4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 47, -12, -103, -232, -405, -628?\n\"Answer: -v**3 - 7*v**2 - 5*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 6292005084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = 3*j. Are j and -7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -635*l**4*m + 8*l**4 + 2*l**2*m + 3*l*m + 14*l - m + 6 wrt l.\nAnswer: -7620*l**2*m + 96*l**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -122, -83, -14, 91, 238, 433, 682?\n\"Answer: j**3 + 9*j**2 + 5*j - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33782108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 31 - 2*s - 6 + 7 - 1.\nAnswer: -2*s - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-5940)*-9 - (3 + (-414)\/22 + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9192.1761 - 9197.17610118. Let p = a + 5. Round p to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13050, 883, 0.1, 3, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d3e (base 15) in base 14?\nAnswer: 4ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 + 11*g**4\/24 + 5*g**3\/3 - 3*g**2. Let r be j(-10). Is r bigger than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/18 - (-16)\/24. Solve 6*h - u = 5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51268876201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/18 + (-3)\/9. Let j = 0.4 - 0. Put x, 5\/4, j in ascending order.\nAnswer: x, j, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.038? (a) 0.4 (b) -18943 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12, -55, -156, -339, -628?\n\"Answer: -4*i**3 - 5*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1181\/756 + -11\/7. Calculate the common denominator of -139\/108 and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.71 to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430a949 (base 12) to base 9.\nAnswer: 25820503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10581.01332 + 10581. What is l rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*q + 1186*q + 72 = 11*p, -p + q = -12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - 2900 = 20*o + 360*o - 632 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*x = -63, -27 = -5*x - 22. Which is bigger: h or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 10. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**5\/60 + c**4\/8 - c**3\/3 - 38*c**2 + 1. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.6 - -5.4. Let q = 24 - x. Let r be 143\/195 + 1\/(-3). What is the second smallest value in q, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(65) - 1*sqrt(65)))\/sqrt(5) + 1 + -2 + (sqrt(637) + -1 - sqrt(637)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**3 + 9*c**2 - 5*c - 5. Let p(d) = -d**3 + 11*d**2 + 10*d + 22. Let y be p(12). Let l(g) = -g**3 - 2*g**2 + g + 1. Give y*u(r) - 9*l(r).\nAnswer: -r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-8)*(-3)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/42)\/((-423)\/329)*((-3)\/9)\/1.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y + 1. Let n(k) be the third derivative of k**5\/12 + k**4\/6 - 7*k**3\/6 + k**2. Let o = 41 - 35. Let w(c) = o*z(c) + n(c). Factor w(i).\nAnswer: -(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-450)\/(-105) - (-4)\/(-14). Let t(s) = -5*s - 3. Let d be t(-3). Solve 4*f + d = -r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 1, 2696, -3, 3 in decreasing order.\nAnswer: 2696, 54, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2, 6, 4 in decreasing order.\nAnswer: 6, 4, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 3:35 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 - 64. What is the fourth biggest value in 2, t, 0.8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17168914 is divided by 174.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 92148?\nAnswer: 276444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -397, -786, -1169, -1546, -1917, -2282, -2641?\n\"Answer: 3*l**2 - 398*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 223.3 * 1135\nAnswer: 253445.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 10*v - 6. Let w be x(-7). Suppose -10*l = -w*l + 1255. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/18 + 2\/9. What are the prime factors of -2 + 5 - (-2 - n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -589076*i + 38879009. Determine o(66).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.02 - -0.02. Let d = 4 + r. Let m = 0 + d. Which is the smallest value? (a) -3 (b) m (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 7:18 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5061.9 to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**7\/105 + b**6\/20 - 47*b**5\/30 - 1806*b**3 - 2860*b**2. What is the derivative of a(k) wrt k?\nAnswer: -8*k**3 + 18*k**2 - 188*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/15731?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/((-76408)\/(-630366))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.98 and -0.227.\nAnswer: 0.22246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - (5 + -311 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5430405 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: Which is bigger: -0.6092 or -3207?\nAnswer: -0.6092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7503\/671 - 2\/11. Suppose f + z = 46. Calculate the least common multiple of f and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12256603 is divided by 199?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 24*o - 40. Let f be d(22). Suppose 6*i - 3*i = 0, -2*u + 10 = 2*i. Solve 3*k = u*x - 12, 2*k + 10 = -0*k + f*x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-174)\/(-10)*(-18)\/(-72) and (-1797)\/420 + (-48)\/(-112).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j + 279688. Let i(z) = -2*z. Give g(i(k)).\nAnswer: -34*k + 279688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3942 and 15111?\nAnswer: 90666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 469, 467?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + 1022\/(-35). Let p = 28 + x. Which is greater: p or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -2100\/29?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27942, -111736, -251392, -446910, -698290, -1005532, -1368636?\nAnswer: -1787602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 4*n**2 - 170 + 5*n**2.\nAnswer: n**2 - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 8. Let m(y) = 13 - 15*y - 27 - 89 - 8 - 21. Let k(n) = -2*m(n) + 33*w(n). Let l(z) = 23*z + 2. Determine k(l(t)).\nAnswer: -69*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13067.6 rounded to the nearest 100?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104 - 109. Let o(b) be the third derivative of b**4\/4 - b**3\/6 - 2*b**2. Let f be o(1). Sort f, p, 2 in ascending order.\nAnswer: p, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.5 or 4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)\/z)\/z)**(-5\/4)*z\/((z\/(z\/z**(-2\/17)))\/z)*z*z**(-4\/7)*(z**(2\/3)\/(z\/z**(-1\/3)))**(-17) assuming z is positive.\nAnswer: z**(17245\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, a: 3, o: 5, h: 2}. Give prob of picking 1 o and 2 x.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 3*i + 6*f, 8 = -i - 3*f. Let q(j) be the third derivative of 0*j - 1\/42*j**i + 8*j**2 + 0 + 0*j**3 - 1\/210*j**5. Factor q(x).\nAnswer: -2*x*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*2 + -4. Let p be ((-18)\/15)\/(h\/10). What is the second derivative of -p*w + 2*w**4 + 5*w - 3*w**4 + w wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {k: 1, v: 6, p: 2, l: 4, j: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88.6 + -97. Let v = x - -8.9. Let y be (-1)\/(6\/(-13)) + 1*-2. Sort 2, y, v, 3.\nAnswer: y, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - g**2 - g**2 - 2*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 356 - -79. Calculate the greatest common divisor of q and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 477a?\nAnswer: 4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 12\/19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.5, 3, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 6. Let p be 0\/(1*(-1)\/(-1)). Suppose -m = 2*n - 3, 2 = 2*n + 5*m + 3. Suppose -n*y + y = p. What is d(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -145965, -291911, -437847, -583767, -729665, -875535, -1021371?\n\"Answer: f**3 - f**2 - 145950*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + -0.05. Let r = 1548 + -1546. Which is the fourth biggest value? (a) r (b) 1 (c) o (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 71. Suppose -1 = -4*m + 3*o + v, 5*o - 45 = -4*m. Factor -m*h - 8*h + 15*h + 3*h**3.\nAnswer: 3*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-5))\/(248\/(-6138)*126\/(-120)).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.4 (c) 0.3 (d) 16015\/4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-25))\/(2\/(-110)). Suppose -d = 2*b - 55. Let v(o) = o**3 - 12*o**2 + 12*o - 8. Let a be v(b). Solve 0*s = a*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 2. Let i be (2*1\/4)\/(9\/54). What is j(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347876 is divided by 173770.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 b, and 1 r when four letters picked without replacement from {u: 5, r: 2, k: 4, b: 7, w: 1}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Express 154 - 52*w + 148 - 301 in the form o + v*w and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.653 to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqfqp. Give prob of picking 1 q and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1847 + 4*p - 2*p - p - 1880. Let m(k) = k - 22. Let s(f) = 8*m(f) - 5*u(f). Calculate s(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 0, -2*d - 3*m - 30509 = -30341 for d.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3366)\/120 + (-478)\/(-9560)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y - 15 = 0. Let h be ((-9)\/2)\/(y\/80). Let f(g) = g**3 - 24*g**2 + 2*g + 25. What is the tens digit of f(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 15) in base 13?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 3, 49.\nAnswer: -3, -2, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2035478710 to the nearest 100000.\nAnswer: -2035500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptplcptcpptpt. Give prob of sequence tlp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2125101752 and -47?\nAnswer: 2125101799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/315)\/((-7)\/(-560)*4)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199269120.\nAnswer: 2, 3, 5, 51893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 35*b**2 - 32*b + 69. Let y be c(-34). Let r(p) = -p**2 + 1. Let n(t) = -4*t + 5*t + 5 + 4*t - t. Determine y*n(g) - 3*r(g).\nAnswer: 3*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 388094704 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 3*u - 2*u + (5 - 2 - 1)*(-u + 4 - 4) + (1 + 2 - 1)*(-212 + 212 + 15*u) to x + q*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -60398476 at most -60398476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -418*a**5*l**3 + 564*a**2*l**3 - 240*a*l**3 - a*l**2 + 325*l**3 wrt a?\nAnswer: -8360*a**3*l**3 + 1128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34721\/14 - 2487. Let u = -298943\/22 - -13586. What is the common denominator of d and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v**3 - 24*v**2 + 174*v - 296. Let o(a) = 11*a**3 + 46*a**2 - 352*a + 593. Let u(j) = -7*h(j) - 4*o(j). Find q, given that u(q) = 0.\nAnswer: -15, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -27*u**3 - 352*u**2 + 4*u - 20. Let a(i) = 25*i**3 + 353*i**2 - 3*i + 15. Give 4*a(p) + 3*f(p).\nAnswer: 19*p**3 + 356*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10935 = -1097*x + 68207 + 91920 for x.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11732933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-190) - (-296)\/76. Let g be (-6)\/24 + (-3 - (-13)\/s). Solve 3*y + 9 + g = -4*k, -5*k + 2*y = 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22\/37 - -229\/74. Let f = -8.8 - -1.8. Let d = f + -1. Put 5, d, 0.4, p in increasing order.\nAnswer: d, 0.4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001688363 to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -39, -42, -47, -54?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 28*i**2 - 57*i - 58. What are the prime factors of n(24)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4448 (base 9) to base 2\nAnswer: 110011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 5. Let u(r) = -2*r**2 + 9*r + 8. Let g be u(y). Factor -17 - 28 - 30*k + g*k**2 - 2*k**2 - 6*k**2.\nAnswer: -5*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26\/(-156))\/((-5)\/225))\/((-150)\/(-1320)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f\/f**(1\/12)*f*f*f)**38*f*f*f**0*f\/(f\/(f*f*f\/(f*f\/(f*f**3))*f)))**(3\/5) assuming f is positive.\nAnswer: f**(325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4857 take away 156663.6?\nAnswer: -151806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - u**4 + (-1 + 2*u + 1)*(2*u**3 - 1 + 1))*(-1727 + 1725 - 186*u - 35*u).\nAnswer: -663*u**5 - 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*10\/1100*(-8)\/(-6)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1927, 1, 5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54280824 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2 - v + 2. Let k(t) = -6*t**2 - 2*t + 2. Give -2*k(x) + 3*z(x).\nAnswer: -3*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2437, -2435, -2431, -2425, -2417, -2407, -2395?\nAnswer: -2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/185412 and 119\/108?\nAnswer: 1668708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27478 and 2338?\nAnswer: 32121782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-120*s + 1 + 1 + 294*s)*(4*s**3 - 2*s**3 - 4*s**3) in the form k*s**4 + t + r*s**2 + j*s + l*s**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48) + sqrt(12))\/(sqrt(32)\/(sqrt(8) + sqrt(32)\/sqrt(4))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 52, 100, 170, 262, 376, 512?\n\"Answer: 11*r**2 + 15*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 - 4*u**3 - 8 + 4*u**3 + 29*u + 3*u**2. Suppose -2*z + 23 = z - 4*a, 8 = 2*a. What is the remainder when h(z) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*h - 5849 = 0, 5*h + 6683 = 3*l + 874. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 29183055?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let m(s) be the first derivative of 4\/3*s**3 + 0*s**2 - 6 + 0*s. What is m(c(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.38 * -170\nAnswer: 234.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*x - 16, -2*x = 3 + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*m**2 - 3*j*m - 18420*j + 2001447*m**2 + m wrt j?\nAnswer: m**2 - 3*m - 18420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**5\/60 + p**4\/4 - p**3\/2 + 6*p**2. Determine t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 136 = -2*w, 0 = -3*w + i - 1831 + 1866 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 - 396745*a + 396750 = 0.\nAnswer: -79350, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 5\/5) + (-272)\/2. Let h = s - -153. Calculate the highest common divisor of 30 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 20. Let j be z(6). Suppose -j = 2*w + o, o + 24 = 4*w - 4*o. Let h be 4*w*((-5)\/1)\/(-10). Which is greater: h or 11\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2 + 8326*o - 41680 = 0. Calculate o.\nAnswer: -4168, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 19. Let i = -3 + y. What is the remainder when 19 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45 from 414529.\nAnswer: 414574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v**2 - 3*v**2 + 4*v**2 + (5 - 1 - 2)*(3*v**2 - 4*v**2 + 3*v**2))*(2 + 3*v - 2)*(5 - 3 - 1) to the form t*v + r*v**3 + a*v**2 + z and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*p - 12184, 3*a - 12188 = -0*p - 5*p. Does 104 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -20, 13564, 5 in decreasing order.\nAnswer: 13564, 5, 1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 7, -3 in decreasing order.\nAnswer: 127, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-12)\/(-63) + 80\/(-140)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -40. What is the tens digit of a\/(-2)*(-3 + 59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x**2 + x**2 + 48 + 38*x - 9 - 39 in the form p*x + z*x**2 + u and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - d = -80, 3*g - 58 = -4*d - 129 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 186670594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -29. Let t = -4 - k. Calculate the least common multiple of 11 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-12\/5))**(-6\/17)\/((x\/x**(-3))\/(x**(-2\/7)\/x)*(x\/(x\/(x\/x**(2\/17))))\/x**2) assuming x is positive.\nAnswer: x**(-496\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from tkkstnps.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 183*q**2 + q - 200*q**2 + q as l*q + o*q**2 + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let t = 0 + b. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b**(2\/7)*b))**(-5\/16)\/(b**(1\/3))**(2\/9))\/(((b*b*b\/((b*b**(-4))\/b))\/b**(1\/2))\/(b*b**(-1\/4))**(1\/10)) assuming b is positive.\nAnswer: b**(-24229\/3780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((-40)\/(-10) + -9). Let o be b\/7*((-140)\/(-10) + 2). Determine r so that 244\/7*r**2 - 24*r + o - 36\/7*r**4 - 72\/7*r**3 = 0.\nAnswer: -4, 1\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/17278816 and -21\/2159852.\nAnswer: 17278816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3925, 2, -14, -2 in increasing order.\nAnswer: -14, -2, 2, 3925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -496, -737, -962, -1165, -1340, -1481, -1582?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 7*w - 7. Let q be h(-3). Suppose q + 5 = 2*a. Calculate the remainder when 7 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64\/5? (a) 5 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1775 and 497710.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -0.4, 0.2, -10, 13\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from {e: 13, l: 3, p: 1}.\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -19*p**4 + 124*p + 34. Find the first derivative of m(h) wrt h.\nAnswer: -228*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -6\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (956\/717)\/(34\/(-68))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.52 (b) -4\/15 (c) -4\/5 (d) 0.58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - -3 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 83*i**2 - 2988*i - 141. Calculate p(36).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 11. Let i(y) = -y - 10. Let r(a) = 3*i(a) - 2*s(a). Let m be 1\/(-2) - (-14)\/(-4). What is r(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 449709*d + 449709*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472 = 11*s + 109. Let m(g) be the first derivative of -s*g**4 + 8\/3*g**3 + 8*g**2 + 126\/5*g**5 + 6 + 0*g. Factor m(z).\nAnswer: 2*z*(3*z - 2)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-14 - -21) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*m - 48*m - m**3 - 1 + 1 to r*m**2 + g + i*m**3 + j*m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 34*q + 4. Let y be l(17). Let j be 5\/y*(-2 - -14). Find the first derivative of -3*b**2 + 9*b**2 - j*b**3 - 6*b**2 + 6 wrt b.\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4 - 10960*w**3 - 28305813*w**2 + 9589649310*w + 38810789064 = 0 for w.\nAnswer: -5631, -4, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10 - 351\/715) + (-1080)\/220?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 1. Let y(x) = -4*x - 6. Let l(q) = -3*b(q) - y(q). Let i(k) = -7*k + 5. Give -5*i(j) + 8*l(j).\nAnswer: -5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*8\/4*(-2)\/4. Let p(i) = 5*i - 2. Let s be p(k). Let m be (-4 + 54\/15)*-5. Solve 2*h + m*f + 2 = s*h, 0 = -5*h + 3*f - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 26. Let r = 0.07 - -4.93. What is the nearest to w in -5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130*(-15)\/75)\/(13013\/286)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(171) + 1*(sqrt(171) + 1))**2 - 6*((sqrt(19) - (sqrt(19) + sqrt(171)*-1)) + (-2 + sqrt(76)\/sqrt(4))**2).\nAnswer: -6*sqrt(19) + 547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 3, x: 2, e: 3, f: 2}. Give prob of sequence fe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2. Let u(r) = 2*r + 4. Let h be 5\/2 - 6\/(-4). Let n(w) = w + 3. Let z(c) = h*n(c) - 3*u(c). Determine z(s(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 63, 1\/6, -2\/15, -10?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.15.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -t + 3*j, t + 60*j + 11 = 75*j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-9))*c)\/c*c*c*c**(-2\/17)\/c*(c**(5\/4))**(-29) assuming c is positive.\nAnswer: c**(-3017\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z**2 - 6*z. Let j = 1 - 2. Let t(h) = -h**2 + h. Let m(b) = j*u(b) - 6*t(b). Let n(l) be the first derivative of 3*l**2\/2 + 1. What is m(n(d))?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c + 6?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -17. Let i be (-2)\/l*-2*2\/12. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d - 34*d - 3360 = 184*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:53 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 10608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -718, -1442, -2164, -2884, -3602?\n\"Answer: z**2 - 727*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 2 = 4*w - 8, -3*j + 1 = -w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170*s**4 - 303*s**4 + 85*s**4)*(-2*s - s + s).\nAnswer: 776*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -3, -262, -8, 0.3?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93\/4 + -23. Let i = 0.44 + -0.04. Let n be 54\/7 - (93 - 85). What is the nearest to f in 4, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/3 - 45270*o**2 - 1538386*o + 4750970\/3 = 0.\nAnswer: -67871, -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfktdfxxkfdook. Give prob of picking 1 f and 1 o.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 3575?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:29 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.123305 - -0.12082. What is k rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11521*u. Let w(r) = 3*r**2 + 46. Determine w(h(j)).\nAnswer: 398200323*j**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14641 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttcttttc. Give prob of picking 2 t and 2 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*b**4 + (136*b**3 - 76*b**3 - 75*b**3)*(-b + 1 - 1) + 4*b + 4*b**4 - 4*b.\nAnswer: 17*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (538385\/(-58))\/47*(-9)\/(-45)*2.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1368 and 11247?\nAnswer: 5128632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - -3 - (5 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:22 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-80)\/(-75) - 2\/3. Let k be (-5)\/9*(-2)\/5. Sort x, -0.3, k in ascending order.\nAnswer: -0.3, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06104397358 - -0.5\nAnswer: 0.56104397358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 63 = -31 - 10. Let f(k) be the first derivative of 2\/5*k**2 - 1\/10*k**q + 13 + 2\/15*k**3 + 0*k. Factor f(n).\nAnswer: -2*n*(n - 2)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from xyyqyyxxxxxoq?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*b - 10 = 93, -91 = -4*g - b. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, c: 10, q: 2}. What is prob of sequence cyyy?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2004 and 1.\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24114 + -33311?\nAnswer: -4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**7\/252 + j**6\/60 - j**5\/24 - 3*j**4\/8 - 8*j**3\/9 - j**2 + 7*j. Suppose b(l) = 0. What is l?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -634168*1875\nAnswer: -1189065000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 189*b - 24725. Calculate n(137).\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 80*q - 259. Let f be x(-29). What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 37 + 93)*(-6*n + 9*n + n).\nAnswer: 132*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -16884 divided by 340\nAnswer: -4221\/85","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6790 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/(-7) - 6\/21. Let i = t - -5. Suppose 3 = -d - h - 2, i = -d + 4*h. Put d, 1\/2, 0.3 in descending order.\nAnswer: 1\/2, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 1506.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i. What is the first derivative of 0*w**3 - 2 + i - w**3 + 1 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:21 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(750) + sqrt(30)) + 3*sqrt(30)*2)\/((sqrt(864)*5)\/sqrt(4)*1).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 + (10 - 1))) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785695 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 275, 317, 391, 509?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 3. Let d be b(2). Suppose 11 = 5*m - 4*j - 46, -d*j - 55 = -5*m. What is the greatest common factor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 0*w**2 - 657*w + 537*w + 23 + 113*w + 4*w**2.\nAnswer: 2*w**2 - 7*w + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61204660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -3 - (-2 - -14)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002556 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -31. Suppose -4*l + r + 19 = 0, -l - r = -n*r - 10. Solve -4*c + 4 = -4*t, -t + 0*t - l*c + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 + -55. Suppose 2*b - 5*i = 104, -393 + n = -5*b + 2*i. What is the remainder when b is divided by 77*(-85)\/(-238)*((-155)\/(-25) - 5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -3*k**8\/112 - k**4\/6 - 13*k**2. Find the second derivative of o(x) wrt x.\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 - 1334424*r - 9340870 = 0. What is r?\nAnswer: -667205, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.77499+0.3\nAnswer: -0.47499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**5 - 10*n**4 - 9*n**3 + 90*n**2 = 0?\nAnswer: -3, 0, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-9 + 1792\/384 + 2\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 - 9 = 0. Suppose 0 = 2*z + 2*s - 14, 3*z + 0*s - j*s = -7. What is the tens digit of -3 + (23 - z - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*h - 102 = 2*g, 2*h + 5*g + 76 = 82 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**3 - 7*k**2 + 7. Let r(z) = 2*z**3 - 2*z**2 + 2. What is 2*p(l) - 7*r(l)?\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 15144520.\nAnswer: 106011640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v + 17 - 4*v + 59)*(-5 + 2*v**4 + 5).\nAnswer: 4*v**5 + 152*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 302356354 + 1?\nAnswer: 302356355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 109 - -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1357 and 759?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22336692 and 27671?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + 111. Let d = -37 - w. Solve -4*i + 0*u - d = -4*u, -2*i - 3*u = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - sqrt(2304)*2)\/((sqrt(84) + sqrt(84) + (1*sqrt(84) - sqrt(84)) + sqrt(84) - sqrt(84))\/sqrt(7)) + 1*-1*-2*sqrt(432) + -1.\nAnswer: -1 + 33*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -54, -64, -74, -84, -94, -104?\n\"Answer: -10*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56881 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-1)\/((-18)\/(-6)*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0 + sqrt(405))*-1)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:18 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3144.7 - 3145. Sort 35, 0, i in descending order.\nAnswer: 35, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00308342329 to 5 dps.\nAnswer: -0.00308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m - 2*j, 4*m = 4*j + 9 - 1. Let d be (1 - m)*-2*-17. Let g = 51 + d. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from jyyyjjyyyyyyyey.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 14 = -224. Let p = 67 + v. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83968.783336 + -0.1\nAnswer: -83968.883336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2012 - 5?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.047 + -0.047. Which is the third smallest value? (a) q (b) 3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -48, -57, -80, -129, -216, -353, -552?\n\"Answer: -2*j**3 + 5*j**2 - 10*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2765.6 - -2757. What is v rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -47, 86, -23, -163, -5 in decreasing order.\nAnswer: 86, 2, -5, -23, -47, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66522 + -45032. What is the third derivative of -47*s**6 - 21489*s**2 + j*s**2 - 1 + 5 wrt s?\nAnswer: -5640*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 101658*o.\nAnswer: -o*(o - 406632)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -12. Suppose -4*l + f = -13. Suppose 0 = -t + l - 6. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.07 in -2, -5, -7298, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 14. Let y be b(-7). What is the common denominator of 2\/((-36)\/23) + 1 and ((-87)\/(-6))\/(y + 1) + 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -9 - ((-74 - -39) + 50)) + 75.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125146 is divided by 41681.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5255, 10523, 15801, 21089?\n\"Answer: 5*s**2 + 5253*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (180\/(-390))\/(280\/182)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = -2*k. Let z = -2 - k. Solve -18*c**5 - 2*c - 6*c**4 - 10*c**z - 32*c**4 - 16*c**2 - 44*c**3 = 0 for c.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 - u**3\/2 + u**2 - 21*u. Calculate t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from uurrrunruuurrnu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 9:58 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8153002054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4904 + -0.5096. Let q = 1715\/11 + -156. Which is the closest to q? (a) v (b) 0.5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14780034*c**2*l**4 + 8*c**2*l**2 + 4654*l - 4 wrt l?\nAnswer: 354720816*c**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 294\/84 + 6\/(-4). Suppose 4*c + 6 = r*a + 16, -a - 3*c = -5. Let d(o) = o**2. Let k(b) = -b**2 - b - 4. Calculate a*k(s) - 3*d(s).\nAnswer: -2*s**2 + s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b + 56. What is c(15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - -1. Let p = o + 1. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*j = -0*y - 5, 2*y + 1 = 5*j. Solve y*h - x = -3*x + 20, 3*h + 4*x = 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*j = 115*j + 425709. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*j + 25*j + 61*j)*(-2 + j + 2)*(-4 + 2 - 1).\nAnswer: -201*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7530.2179 take away -1?\nAnswer: -7529.2179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 15*c + 12.\nAnswer: 3*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71936 and 1024768.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 46.2.\nAnswer: 277.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*s = 10310 - 29154 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/(sqrt(30)\/sqrt(6)))\/(sqrt(5) - 3*(sqrt(5) + 2*sqrt(5))).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 2 + -3 + -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24634139 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 124*f + 591. What is l(66)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3361942 is divided by 1030.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43141\/10 or 4313?\nAnswer: 43141\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6424*f + 231360. What is y(-36)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-3 + sqrt(968))*-2 - (sqrt(968) + (sqrt(968) - (5 + sqrt(968))) + -5 - sqrt(968))))**2.\nAnswer: -1408*sqrt(2) + 4128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001011010101111100 (base 2) in base 9?\nAnswer: -1058824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74030 - -74040. Let g = 4\/4243 + 394559\/42430. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/13 + 180*a**3\/13 - 366*a**2\/13 + 184*a\/13.\nAnswer: 2*a*(a - 1)**2*(a + 92)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -g + 355, 2*g = -3*w + 887 - 198. Suppose -4*u - 9*r + g = -6*r, -85 = -u - 3*r. What is the least common multiple of 15 and u?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-5)*-1)\/((-2)\/(-8)). Let a be (-3)\/2 + r\/(-8). Let l be (-1)\/(a\/(-3) - 14\/12). Solve w = -l*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1319.001 take away -4?\nAnswer: -1315.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65 in -2\/5, 39\/347, -2\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-19))\/(768\/4864)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f. Let z = -2 - f. Let k(p) = -p**3 - p**2 + 3*p + 2. Calculate k(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 17740583.\nAnswer: 17740588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**3 + 2*i - 2. Let w(d) = -3*d**3 - 2*d + 1. Give -2*r(a) - 3*w(a).\nAnswer: a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6006 + -11.9\nAnswer: 5994.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1864338405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 10) to base 11\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42780684 and 783?\nAnswer: 385026156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (57 - 56) + -8 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 28784.259 months?\nAnswer: 2398.68825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 3205558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 7\/(-4) + 1. Let p(l) = -l**2 + 4*l + 6. Suppose 4 + 16 = 4*q. Let u be p(q). Which is the third smallest value? (a) u (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235314852?\nAnswer: 2, 3, 643, 30497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 7*s - 7. Let t be n(-5). Find the second derivative of -3*l**2 + 5*l**2 - 2*l**2 + t*l**2 + l wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -365, -356, -345, -332?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 16 = 3*p, -5*u + 15 = 4*p - 0*p. Suppose p*f + 3*v = 51161 - 7888, 0 = 2*f + 2*v - 17306. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279 - -54. Let k = -105 - r. Let a = 30 - 6. What is the highest common divisor of a and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 39*f. Is 13 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -9. Calculate the lowest common multiple of 10 and (3 + u)*(7 + -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1166*y = -1191*y + 190225. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**3 + 7*p**2 - 4*p - 75. Determine l(0).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13570779*h**2 + 5638488*h?\nAnswer: 27141558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a - 4. Let h(k) = -k + 1. Let l be h(-5). Let j be (-20)\/(-3)*l\/5. What is the highest common divisor of a and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 296284943 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 157\/4*r**4 + 62 + 0*r**3 + 5*r - 3*r**2. Find the second derivative of a(s) wrt s.\nAnswer: 942*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*x - 115*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630*v**4 + 22405*v**3 + 103530*v**2 - 48420*v + 5400 = 0. Calculate v.\nAnswer: -30, -6, 3\/14, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w - 1. Let n be u(4). What is the tens digit of (2 - 1)*(6 + -3)*n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -g + 4*y, -2*g - 2*g - 5*y + 57 = 0. Suppose -6 = 5*t - g*t. Let q = 3.4 - 6.4. Which is the second smallest value? (a) q (b) t (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + 1628. Let a = 1856.2 - m. What is a rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-4)*2*1644\/1233)\/((-24)\/(-176))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 2*s + 3. Let o = 132 + -130. Determine r(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j - 9. Let c be k(-6). Suppose -c*m - 4 = -m. Sort m, 0, -4 in descending order.\nAnswer: 0, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 52. Suppose -z - 766 = -770, 2*z = q + 8. What is d(q)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.17, -3\/2, 5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0\/h)\/h*h)\/h**12)\/((h**(1\/18)*h)\/h**10) assuming h is positive.\nAnswer: h**(-73\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 45 = -5*g. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5693100 to the nearest ten thousand.\nAnswer: -5690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1459*z**3 + 8*z - 6. Calculate the remainder when s(1) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 19*x - 37. Suppose 2*w + 19 - 7 = 0. Let p be t(w). Solve 3*u + p*c + 25 = 0, 0 = -2*u - 4*c + 4 - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 859665 + 139265. Suppose 3*m + f = 28*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.5, 0.1, 0.\nAnswer: -11, 0, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 4)*(-10*x**3 + 0*x**3 - 5*x**3 + (-3*x + 0*x + 0*x)*(x**2 + x**2 + 0*x**2)).\nAnswer: -105*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/84 and 13\/40?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 3*r**3 - 2*r**3 + r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:40 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-18)\/(-12)*-1)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3434 - 1880. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*j + 27, 3*j + 0*s = -5*s - 5. Let i be (3\/12)\/((-1)\/6). What is the closest to 0.4 in 3, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from tuhtqhqhhuu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxxkccqxxqkqqxkccck. What is prob of picking 4 x?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.5204 micrograms to grams.\nAnswer: 0.0000295204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 240 + 5*(-20)\/(-25). Suppose 0 = 14*g - 18*g + a. Let o = 789 + g. What is o rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:58 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -98383296?\nAnswer: 98383292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4131 - -5615. Calculate the least common multiple of q and 4.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 41*t**2 - 79*t - 1035. What is the ten thousands digit of n(48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1349*g**2. Let w(k) = 25*k**2. Determine w(n(m)).\nAnswer: 45495025*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 11*x**2 - 12*x. Let q be g(12). Let d be 2\/(-4) - q - (-81)\/(-2). Suppose 0*l + l = -3*z - 125, 5*l = -4*z - 185. Which is bigger: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/11)\/j*j*j*j**(1\/5))**(-8))**(4\/7) assuming j is positive.\nAnswer: j**(-4192\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31155049*x**2 + 35909911 wrt x?\nAnswer: -62310098*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 501714 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/3 + 7*t**4\/3 + 19*t**3\/3 + 25*t**2\/3 + 16*t\/3 + 4\/3.\nAnswer: (t + 1)**3*(t + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2554055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420 + 561. Let l = j - -416. Is 62 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**20\/z*z)**(-2\/11) assuming z is positive.\nAnswer: z**(-42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 614 + -567. Which is the third smallest value? (a) f (b) -0.2 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 b when four letters picked without replacement from {a: 1, b: 4, r: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -0.06. Let j = 146 + -141. What is the closest to l in j, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1070009 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.923 + -36. Let z = u - -0.11. Round z to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 382 and 23684?\nAnswer: 23684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7860 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, 0.2, -0.0182, 164, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 36, 5 in ascending order.\nAnswer: 5, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 12. Suppose 4 = -4*o, 4 = p*a + 5*o + 5. What is the derivative of i + a - 1 - 3*i + 4 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-10 + 2)) + (-87 - -87).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3948, 3938, 3922, 3900, 3872, 3838, 3798?\nAnswer: 3752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.1 + -0.9. Let a = -15.591 - -4.5766. Let y = a - c. What is y rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/18*6\/5. Let x = -1 + 1.05. Let g = -0.25 - x. Which is the biggest value? (a) s (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 952\/3 - 2\/9*h**2 - 1424\/9*h = 0. What is h?\nAnswer: -714, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-7))\/(n*n\/(n*n**9)))\/(n**1\/(n**(-2\/15)\/n)) assuming n is positive.\nAnswer: n**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 8*q + 13*q - 40*q + 5*q + 18*q - 16*q + 3*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 288. Solve -4*d - 17 = -o*h - 1, -3*h - 2*d = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -7. Let v(l) = 15*l**2 - l - 6. Let n(k) = 10*k**2 - k - 4. Let q(g) = o*n(g) - 5*v(g). Factor q(r).\nAnswer: (r - 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 k when three letters picked without replacement from dndkd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 8474?\nAnswer: -8476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2. Let k(d) = -51*d. Calculate k(w(b)).\nAnswer: 102*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -731585 divided by 8\nAnswer: -731585\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 98 - 27. Suppose 0 = -6*m - 71 + d. Solve m = 5*y - 18 + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 1\/3366224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 58*q - 33*q + 12.\nAnswer: -76*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 25. Is 105*(-2 + t) - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-462)\/(-1540))\/((-2)\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9349 = -4*y, 0 = -3*y + 7*y + c - 9319. Suppose -4*a = -y - 1837. List the prime factors of a.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2354*s + 27559 = 152321 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 330\/693*(-78)\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -4. What is the tens digit of (32\/6)\/(4\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 155201*b**2 - 5*b. Let t be 24\/(-228) - 194\/(-38). Let o be l(t). Round o to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 12, 11*h - 3 = -3*o + 14*h. Sort -15, -0.5, o, 1 in descending order.\nAnswer: 1, -0.5, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4660 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3483090 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/25))**(-2\/13) assuming j is positive.\nAnswer: j**(4\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209734 by -14.\nAnswer: 14981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + j**2 + j + 1. Let w(n) = 8*n**3 + 3*n**2 - 3*n - 3. Let c(l) = 2*o(l) - w(l). Is c(-2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/4 + 105*h\/2 - 1350 = 0. What is h?\nAnswer: -90, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (6 - 4))*-3. Let j(d) = d**2 - 15*d + 53. Let h be j(m). Let b be 25\/4*6\/135. Which is bigger: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086336 is divided by 108565.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11791884781 - -11791884424.000000418. Let d = -357 - c. What is d rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3214 (base 5) to base 16\nAnswer: -1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b - 12 = 0. Let c(w) = -w**3 - 6*w**2 - w + 1. Calculate the remainder when c(b) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2\/17 + 2\/17*o**3 - 2\/17*o - 2\/17*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*a = 3714 + 20574, -4*a + 30401 = 5*y. Is y a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*r + 489*r - 242*r = 0. Solve -4*l + 5*d - 26 - 9 = r, -4*l - d = 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let o(y) = 70*y. Give o(w(f)).\nAnswer: 70*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25 + 16 + 262*c**2 + c - 260*c**2 wrt c?\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176382 by 4302.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*m + 5*k + 7, 13 = -5*m + 3*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:51 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 15*d + 62. What is u(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 - 9*t - 49. Let s be -3 + (-7)\/(-28)*0. Let u be q(s). What is the highest common factor of u and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62166486?\nAnswer: 2, 3, 67, 154643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnngnngnngnggngggng?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4032 + 0*y - 934*y**2 + 1418 - 2624 + 4*y wrt y.\nAnswer: -1868*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 - 94. Suppose 5*j - 11 - 34 = 0. Suppose x = b - j. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 93*n**2 - 97*n - 287. What is o(-94)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4325702 is divided by 2162826.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 15280 = 1436 + 44. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178551.02 take away -68583?\nAnswer: 2247134.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 + 1871 = -83*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2166772 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 0*s**2 + 2\/5*s**5 - 4 + 0*s**4 - 4*s + 0*s**3. What is the derivative of y(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39625813 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1050 - -1043. What is the second biggest value in m, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 267, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223133303 - -21?\nAnswer: -223133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c + 2*c**3 - 52*c - 4 + 2 in the form p*c**2 + v + n*c + k*c**3 and give n.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3997889 and 3957?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - x - 5. Let t be (-13 + 22 - 132) + 3 + -1. Let z = -116 - t. Determine p(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44849.843 + 44764.642314. Let k = -85.2 - q. Round k to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36575?\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1762 and -8.915.\nAnswer: -15708.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 782, 780, 778, 776, 774?\nAnswer: 772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5700223*r**4 - 3757297*r wrt r?\nAnswer: 68402676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 - c - 2. Let u be k(-4). Solve 0 = -3*r - u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10476 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*1047.\nAnswer: -6282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 896 = -2*a. Suppose -4*x - 2*u + 153 = 35, 10 = -2*u. What is the highest common factor of x and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81427543?\nAnswer: 81427543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/2*16\/(-12). Suppose 2*k - 4*z - n = 0, 0 = 4*k - 5*z - 6 - 29. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 75\/4 of a hour?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188130620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 12. Let i be l(-9). Suppose 3*q + 120 = 5*q. What is the greatest common divisor of q and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47812749 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1388 by 2.\nAnswer: -694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -37, -49, -57, -61, -61?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - z + 8 = 0, -3*z - z = 5*d - 37. Suppose 4*t - d = -1. Let s = -83 + 80. What is the closest to t in s, 0.1, -0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -1342, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 - 6*d + 7. Let a be k(1). Let t be a - (-4)\/6*6. Suppose t*v = -5*v + 2*v. Solve v = -3*w + 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(10\/13)\/a**(-2\/19) assuming a is positive.\nAnswer: a**(216\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*k - 8, -4*r - r - 5*k = -10. Let q(a) = 4 - 2 + 2 + 0 - r*a**2. What is q(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21031723 divided by -10.\nAnswer: 21031723\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2928231\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -16*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1927797 divided by 589.\nAnswer: -3273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*d - 12, 33*d + 12 = -2*r + 37*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 110.635, 3, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 4705732420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -120021 (base 3) to base 15\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 140, 228, 316, 404, 492?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100200121 (base 3) in base 2?\nAnswer: -1101110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-3 + (-4 - -14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 284 = 2*z + 2*z, 2*z - 5*y - 170 = 0. Suppose 0 = -7*x + 213 + 60. Let g = z - x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 5*c**7\/21 + 7*c**4\/12 + 7*c. What is the third derivative of h(d) wrt d?\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = -28*s + 916 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10386967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.301 - -82.699. Sort j, 0, -1 in ascending order.\nAnswer: -1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 35. What is the units digit of 2845\/45 - 2\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - 12. Let a be c\/4 + 3\/1. List the prime factors of (-8)\/12*207\/a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 198 (b) -3 (c) 19 (d) 0 (e) 2\/9 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -38. Factor -14*i + 9*i**2 - q*i**3 - 26*i + 18 + 5*i**2 + 10*i.\nAnswer: -2*(i - 3)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 4*b - 6. What is t(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) - (-444)\/(-90). Let x = m + 16\/3. Is 0 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -4?\nAnswer: -77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9033 and 6891112.\nAnswer: 6900145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46584 is divided by 208?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 10075?\nAnswer: 10074.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:24 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190013 and 973?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.1 times 0.66?\nAnswer: 96.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12933468145183 + u**2 - 12933468145183.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2859 + -2856. Let m be (2 - 8)\/(12\/(-8)). Suppose 4*a = i + 7, 2*i - 5*i + 27 = m*a. Solve -2*n = -2*k + 10, -h = a*k - n - 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00076860648 rounded to 6 decimal places?\nAnswer: -0.000769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c. Which is smaller: -4\/7 or c?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5, 0*z = -z - 5*s - 63. Which is bigger: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 11*u + 123953. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*m + 3447*m**2 - 7023*m**2 + 31*m + 3578*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*g + 2*n, 11 = -0*g + 4*g - n. Suppose -g*f = -3*f. Suppose f*a - 48 = -4*a. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 4*c - 2*c + 7*c)*(-4*c + 4*c - 3*c).\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -2 - (2 + -1) - (8 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**3 - 25 + 3*p**3 + 2*p**3. Let m be -6*(27\/(-12)*-2)\/(-3). Let s(n) = -20 - m + 30. Calculate -g(l) - 25*s(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 2 + 0*z**3 + 4*z**3 - 22.\nAnswer: 4*z**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348*p**3 + 645*p**3 + 499*p**3.\nAnswer: 796*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283.309 + -19.309. Which is bigger: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x. Suppose t - 5 - 13 = x. What is the highest common divisor of 72 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 5*b + 3. Let g be z(-5). Suppose 3*t + g*k = -0*k + 27, -t - 4*k = 3. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18473772 and 2648?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*((2 + sqrt(180))*-1 - 2*(-1*sqrt(180) + sqrt(180) - sqrt(180)))*-3)**2.\nAnswer: -7776*sqrt(5) + 59616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339346683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**4\/4 + 3*n**3 - 7*n**2 + 65. Let j be f(7). Is j <= -10\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -1\/3 (c) 0.261\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = -0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 20, 2\/11, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16274, 129869, 438186, 1038587, 2028434, 3505089, 5565914, 8308271?\nAnswer: 11829522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 471 - 471 - 4*h - 9*h. Let w(f) = 3*f. Determine g(w(j)).\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z + 5. Let y be ((-18)\/(-21))\/((-1)\/7). Calculate r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2343*n - 52087*n - 46526*n.\nAnswer: -96270*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130617307*m**5 + 335865*m**2 - 19*m + 2 wrt m?\nAnswer: -7837038420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11831\/767 - -16\/59. Let y = m - -15. Which is the biggest value? (a) y (b) 0.4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/202075 and 33\/1475?\nAnswer: 202075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 4\/9, 0.3, 0, -0.26 in increasing order.\nAnswer: -100, -0.26, 0, 0.3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2522*c - 3082*c - 5600 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 882053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 3*j = -13*o - 267, 5*j + 101 = 2*o. Sort 5, 8, 2, o.\nAnswer: 2, 5, 8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 718918.5 litres?\nAnswer: 718918500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - ((-2)\/2 - 1). Let w = 19 - 7. Let k be f\/(-8) + 57\/w. Solve k*m - 2*m + 6 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 2. Let u(s) = -4*s - 4. Let r(k) = 2*k**2 - 16*k - 353. Let o be r(18). Determine o*d(n) + 4*u(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-2))\/((-6)\/204*1). Let u be 594\/15 + (-3)\/5. Let m = u - j. Solve 2*i = -4*w + 10, i - m*w - 6 + 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 69 = 51. Let x = l - -86. Suppose x = -5*k + 4*u + 8, -5*k - 8 = u. Is k bigger than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 9*o + 0*o)*(-4*o + 0*o + 5*o) + (-o + 4 - 4)*(5*o + 5 - 5) to the form w + q*o**2 + r*o and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26, -9 in decreasing order.\nAnswer: 0, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*w**2 - 1 + 0 + 5 - 2 as y*w + t*w**2 + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/3 - (-2 + -5). Solve 0 = -h*m - 5, -o + 4*m + 4 + 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 371 + 223 = 5*a, o + 589 = 5*a. Solve -160 = 6*d - a for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - r + 1. Let h(c) = 42*c**2 + 6*c - 6. What is -3*h(p) - 18*q(p)?\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 454129.3t?\nAnswer: 454129300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 12818510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 n when three letters picked without replacement from {n: 8, u: 1, q: 2, z: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 5*d - 3. Let h be n(-2). Suppose -h*o - 10 = 2*o. Let l = 11 + o. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -855 - -859. Suppose 0*m = m - 9. Solve -u = -p*u - m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104215325 to the nearest integer?\nAnswer: 10209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {l: 13, y: 3, o: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1)**(1\/49))**(-50) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215829403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2209*k - 1415*k - 26996 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2131*b + 9985. Calculate s(-5).\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose -2*w = -w + v*o - 5, -3*w - o = -55. Solve -3*m + 9 = -3*y - 0*y, 2*m - w = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33637 + 33712. What is the greatest common factor of 8575 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)\/k)**(-45)\/((k**(-2)*k)\/(k**(-2\/7)*k))*(k*k**(-1))\/(k*k**2)*k*(k\/(k\/k**(3\/8))*k)\/k*k*k**(2\/19)*k assuming k is positive.\nAnswer: k**(26275\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - i**2 + 2*i + 3*i + (i - 2*i + 0*i)*(-1 + 3*i + 1).\nAnswer: -4*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 11. Let f(v) = v**3 + 2. Let l be f(o). Suppose -l*a - 2*a = -100. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 207 = 13*j + 4593. Calculate the greatest common divisor of 544 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - (-2 + 5))\/(3 - 6). Let u = -671\/4 - -167. Which is bigger: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, l: 1, a: 2, p: 1, s: 4}. Give prob of picking 1 p and 1 l.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*r - 2, 4*w + r + 1 = 5. Let f(d) = -d - 5. Let l be f(-4). Put l, w, -4 in ascending order.\nAnswer: -4, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-2) - 1)\/1. Let y be -5*52\/(-10) - -2. Suppose -3*z - y = -7*z. Solve z = -2*v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -174, 382, 1288, 2526, 4078, 5926, 8052?\n\"Answer: -3*k**3 + 193*k**2 - 2*k - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 206*a - 10647. What is p(-96)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 21*l + 198 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -5*c + 2*r, -3*c - 4*r = r - 50. Let a(j) = 25 - c - 4*j**2. Let z(s) = -2*s. Give z(a(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 28\/67, 0.3, 107?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132 and 16368.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(16)\/sqrt(4))*3)\/(((sqrt(176)*3)\/sqrt(4))\/sqrt(4)) + 4)**2.\nAnswer: 8*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 970612.1m to nanometers.\nAnswer: 970612100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1195)\/35 + 1\/7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by (24\/5)\/((32\/(-10))\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 28*l + 1443 = 36*l for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8) - (-81)\/(-12). Let r(k) = -2*k - 7. Let w be r(g). What is the greatest common factor of 40 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 14. Let t be (-34)\/4*k*1. Suppose 127 = 3*o - t. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 50. Suppose 49*c - q*c = -4. What is the tens digit of (2\/c)\/1 - 716\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10}. What is prob of sequence ffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2, -6397, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24860 and 20655.\nAnswer: 102696660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -103833, -4, -10, 1 in decreasing order.\nAnswer: 2, 1, -4, -10, -103833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.31 - 1.21. Let p = 4.3 + 0.7. Which is the nearest to p? (a) v (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-14 - (2 + 14 + -24)) + -1 + -85\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2 + -4 + 43. Let q = -31 + z. Find w, given that -2*w**2 - 8*w**2 + w - 2*w**2 + q*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(-2 + sqrt(405))*-5 + -4))**2.\nAnswer: -186300*sqrt(5) + 2297169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70054, 140014, 209974, 279934, 349894?\n\"Answer: 69960*t + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 60295*b**2 + 1744350*b = 0. Calculate b.\nAnswer: 0, 29, 12030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 19 + 191 = 0. Let h(v) = 7*v - 2. Let q(d) = -12*d - 2*d - 6 + 34*d. Give t*h(r) - 5*q(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**3 - 5061*z**2 - 1266*z.\nAnswer: 3*z*(z - 422)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/374 + 4\/34 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rztzqzwtwrzrzr. Give prob of picking 2 t, 1 z, and 1 r.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 - 31 = 0. Let g = 44 + 12. Suppose -v + 2*m - g = -4*v, -83 = -4*v - m. Calculate the remainder when v is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nskjijkkkknjkjni. What is prob of picking 1 n and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 - 5*z - 1. Let h be v(-9). Let i be (-8)\/(-20) - (517\/5 - -2). Let p = i - h. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.105 and -0.0733.\nAnswer: -0.0076965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13*2 + 0 + 2. Let a(t) = 2*t**2 + 5*t - 7. Let b be a(5). Suppose 76*l - 59*l = -b. Sort 5, l, i in ascending order.\nAnswer: l, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: c839 (base 16) to base 3\nAnswer: 2121022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -1249176?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 861.8989 weeks?\nAnswer: 521276454720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99\/425 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-2))\/((-15)\/(-2)))\/(35*(-324)\/(-8505))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14636805.\nAnswer: 3, 5, 31, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + (-32)\/(-21). Let g be 3*((-8)\/3)\/(-4). Which is bigger: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, 3, 4\/7, -0.3, -0.5, 11.2, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 186 - -5?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 826\/315*5*((-135)\/(-10) - (7 - -2)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.736 and 2.\nAnswer: 4.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1134 + 1214. Calculate the remainder when 235 is divided by j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 65 = 4*s, 7*s = 2*s - m + 67. Is s bigger than 3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2938, 2942, 2942, 2932, 2906?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182344855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*i**2 - 8 - i + 65 - 47 in the form d + y*i**2 + j*i and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 142\/3 (c) -4 (d) -1\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.57 - 4.889. What is j rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -1\/2*h**2 + 0*h**3 + 1\/4*h**4 - 2 + 0*h. Factor k(q).\nAnswer: q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37044 and 11445?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 0 - -27*6\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 3. Let w(q) = 7*q + 8. Let f(o) = -8*i(o) - 3*w(o). Let z(g) = -4*g. Give z(f(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-33)*(-1 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6101 and -70456.\nAnswer: 429852056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -76 + 16. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3276*o**2. Let y(v) = -3*v**2. Determine y(n(q)).\nAnswer: -32196528*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357.384m in centimeters?\nAnswer: 135738.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2286 = 11*o + 7*o. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 16. Let a = m - -20. Suppose 22 + a = 4*r. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 97, 253, 471, 751?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/9)\/b)\/b**(-4))\/(b**4\/((b\/(b*b\/(b*b**(1\/5))))\/b)))**(-4\/31) assuming b is positive.\nAnswer: b**(284\/1395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 2*k**4 + 2*k**4)*(-618*k + 15635*k + 6158*k).\nAnswer: 42350*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**2 + 87910*z + 439675 = 0. Calculate z.\nAnswer: -5, 17587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 139.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 - 3*f - 5. Let o be (12 + -1 + 3)\/(-2). What is r(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -15. Let w = -0.16 + 26.16. Let d = b + w. Do d and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 1184489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 318784699?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105121?\nAnswer: 31, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = 2*g - 1, -4 = -2*g + 3*b. Sort 5, g, 4 in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5837659 is divided by 325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 7*p - 25. Let x(z) = -z**2 + 3*z + 12. Suppose -2*u - 2*f + 20 = 0, u - 5 = -u + 3*f. Let j(d) = u*x(d) + 3*w(d). Differentiate j(h) wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346.392 micrometers in centimeters?\nAnswer: 0.2346392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482 - 480. Let y(u) = -7*u**2 - 2*u. Let d be y(-2). What is the units digit of d*((-10)\/(-6))\/(q\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f. Let u(w) = 2*w - 4. Let o be u(3). Determine y(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014095628 + 11206?\nAnswer: -1014084422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/18 and -3\/11842042?\nAnswer: 106578378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 - -279. Is c at least -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1188 = 27*k + 5*k - 14*k. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(38)\/(sqrt(6)\/sqrt(3) - sqrt(2) - sqrt(2)) + -6*sqrt(38)\/sqrt(2)).\nAnswer: 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4379480 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, -2.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3587 by 6.\nAnswer: -3587\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/3, 139, -1.3, -0.4, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 11:51 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -135 at least as big as 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353458388 is divided by 45?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2692 - 2632. What is the least common multiple of w and 1372?\nAnswer: 20580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - z = 27, 2*k - 14 = 4*k + 2*z. Suppose -2*a = -3*a - 2. Sort 3, a, k in increasing order.\nAnswer: k, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1328 and -179.17.\nAnswer: 237937.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.32 + -289.68. Let x = 297.3 + k. Which is the closest to -0.23? (a) x (b) 2\/3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -911237*d**6 + 314*d**2 + d - 19?\nAnswer: -109348440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/6 - 3221*n\/6 + 86625 = 0. What is n?\nAnswer: -3375, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*m - 2. Let b(v) = -5*v**2 - v + v**3 + 1 + 0 - 3 + m*v. Calculate b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*a - 64 = -2*a, w - 4*a = 70. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/314 and 33\/314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + 2*r)*(0*r - 3*r**3 + 0*r) + (2 - 3 + 3)*(-120*r**4 - 68*r**4 + 62*r**4).\nAnswer: -258*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 2*o - 3187. Calculate the remainder when d(87) is divided by 169.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120194 - -195.2576.\nAnswer: 120389.2576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 2*m**3 - 2*m**3 - 27*m - 176*m.\nAnswer: -m**3 - 203*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -721 * 319.\nAnswer: -229999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -40) + 14 + (-3 - 31)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -10. Suppose 0*t - 10 = -t - u*i, 2*t + i + 5 = 0. Sort t, 0, -3.\nAnswer: t, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1 - 3)\/(-1). Suppose -17 + 43 = 2*i + l*c, 0 = 5*i + 3*c - 30. Solve i*q + 3 + 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232985?\nAnswer: 5, 17, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 7823*x - 78121. Give a(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 9 = 0, 7*o = -s + 11*o - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*o = -269*o + 2856 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/120 - 2*w**5\/15 - w**4\/3 - 3*w**3\/2 + 2*w**2. Let s be x(9). Solve 2*n + n = s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r. Let f(o) be the third derivative of 7*o**5\/20 - 516*o**2 - 2. Calculate f(t(j)).\nAnswer: 3549*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -570, -1136, -1704, -2274, -2846, -3420?\n\"Answer: -m**2 - 563*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 141 = -u, -2*u + 188 = 5*l - l. Suppose -4*n + 670 = i, 3*i + l + 799 = 5*n. Round n to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 6*a**2 - 9*a - 8. Let m be u(8). Calculate the highest common factor of 552 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 115111888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, -4, -1.31?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(76)*-4 - (sqrt(76) + -6*(sqrt(76) + 1)) - (-4 + (sqrt(76) - (sqrt(76) - (sqrt(76) + 2))))*-1)**2 + 1.\nAnswer: 32*sqrt(19) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 4, k: 2, p: 3, x: 1, y: 3}. Give prob of picking 2 q and 2 c.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6776 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-308)\/80 + -6*(-8)\/480?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17417 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*-2 + 1)**2.\nAnswer: -44*sqrt(11) + 5325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198037 divided by 19.\nAnswer: -10423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -820210, -820218, -820226?\nAnswer: -820234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 9*b**2 + 13*b**2 + 11*b**2 + 105*b - 32*b**2 = 0.\nAnswer: -105, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 + 5*u + 73. Determine w(0).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d + 1066 - 9346. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 96*r**2\/7 - 21309*r\/7 - 666\/7 = 0.\nAnswer: -1\/32, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 11*a + 4 = 14*a, -5*a + 20 = 0. Factor 2\/3*i**3 + 0 - 2\/3*i**f - 2\/3*i + 2\/3*i**4.\nAnswer: 2*i*(i - 1)*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 2:52 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 3*t**2 - 23*t - 203. Give m(0).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-12)\/(-5) + 18\/5. Let f = 1 + -1. Solve f = p*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -17*u**3 - 6*u**2 - 5*u - 2. Let c be q(-4). Suppose 6*m = 5*m + c. What is m rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-1 - 0)*2\/17). Let y(q) = 8*q - 31. Let n be y(u). Let p(b) = 4*b**2 + 14*b. Let l be p(-5). Calculate the highest common divisor of n and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let l be ((-2)\/12)\/(r + -3). Suppose -4*k - 2 = 2. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129417588?\nAnswer: 2, 3, 19, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.06 * -1.3867.\nAnswer: 1.469902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47827 + -108.\nAnswer: -47935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23271935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*h + 102693, -h + 18431 + 84232 = 4*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*o - 9 = 0, -1768 = -b - o - 1771 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -62*t**2 + 4*t. Let s(d) = d**2 + d. Let q(n) = -b(n) + 3*s(n). What is the second derivative of q(f) wrt f?\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 + 4 = 0. Let x(h) = -20*h + 4*h + 0*h**2 - 12 + 2*h**2 + 0*h**j. Is x(12) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*a**3 + 363\/4*a - 1331\/4 - 33\/4*a**2.\nAnswer: (a - 11)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 - -192 - (2 - (7 - (1 + 3)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z + 6. Let s be x(-6). Let u = s + -8. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 + 1551*u**2 + 10*u + 6. Let y(w) = -8*w**3 + 1553*w**2 + 12*w + 7. What is 6*j(i) - 5*y(i)?\nAnswer: -2*i**3 + 1541*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3*f**4 - 11*f**2\/2 - 613*f + 765. What is the first derivative of l(a) wrt a?\nAnswer: 36*a**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -41. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -7, 5, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/2*1 + -1. Let f(r) = -n*r - 6 + 6 + 8 + 4*r. Calculate the remainder when 40 is divided by f(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6297967785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.54 in 1, 28, -1, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010001110001000111 (base 2) to base 10.\nAnswer: 2432071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 5*f + 24. Let t be ((-737)\/804)\/((-1)\/(-9)) + (-1)\/(-4). Determine r(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173823, -173822, -173821, -173820?\nAnswer: -173819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 + 0 + 2. Let a(c) = -5*c**h + 3*c**2 + c**3 - c**2 + 2*c**2 + 2 - 5*c. Suppose 12 = -5*g + 9*g. Determine a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.46 and 0.4?\nAnswer: 2.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 - (-9)\/7. Let h be 6\/4 + (-1 - b). Let d = -0.4 - -0.3. What is the closest to 2\/3 in d, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1348836 and -133\/744.\nAnswer: 83627832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 373445, 746896, 1120347, 1493798, 1867249?\n\"Answer: 373451*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 775174.2km in nanometers?\nAnswer: 775174200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3948392 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27, 247, 3, 2, 0.\nAnswer: -1, 0, 2, 3, 27, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 2263420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003985 rounded to 7 dps?\nAnswer: -0.0000399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120 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 -0.6? (a) 1018 (b) 1\/56 (c) 13 (d) 4\/3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249181 is divided by 599?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6416*d**6 - 81*d**2 - d + 2 wrt d.\nAnswer: -769920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (127753244\/1802)\/(10892\/(-32)). Let l = -2\/350489 - n. Solve -16\/7 + 216\/7*k - 972\/7*k**2 + l*k**3 = 0 for k.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*i**3 - 4350*i - 1131145 wrt i?\nAnswer: -243*i**2 - 4350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -h + 6 + 3, m - 5*h = -13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, b: 15}. What is prob of picking 2 b?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 88.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 + 12565*b**5*l - b**2*l - 15738*b wrt b.\nAnswer: 240*b**3 + 753900*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3647.28 and 0.1044.\nAnswer: 3647.3844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43527098?\nAnswer: 2, 53, 283, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00074587936 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 6*a + 5*a**4 - 4*a**4 - 2*a**2 + 1 - 17*a**2 + a**4 to f + v*a**3 + t*a + n*a**4 + k*a**2 and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -3.97. Let q = 7444\/33489 - 2\/33489. What is the third smallest value in 2\/3, q, z, -1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -8. Suppose -99*y + 240 = -75*y. Let z = y + v. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015519637 to six decimal places.\nAnswer: -0.001552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 175 = -220. Let h be (32\/(-20))\/(4\/(-10)). Suppose h*d - 7 = c + 2*c, 5*d - 2*c - 14 = 0. Solve k*u = d*u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.21 + -10.79. Let b = -17 - w. What is the second biggest value in b, 0.3, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 929 = -s + 922 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22641, 11644, 647, -10350, -21347?\n\"Answer: -10997*h + 33638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*c + 374*c - 822*c + 347*c - 224*c.\nAnswer: 49*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**3 + 26*l**3 + 3*l**3 + (-2*l + 2*l - 2*l**3)*(3 - 1 - 4).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160711939851*r**2 - 160711939851*r**2 + 9*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 + 62*g**2 + 78*g - 18. Let n be l(-29). Suppose 0 = -15*y + 17*y + 3*b - 1079, n = 2*y + 2*b. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005466 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 6, 5, 2, 3 in increasing order.\nAnswer: 2, 3, 5, 6, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 1:59 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3.\nAnswer: -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 4 (c) 4\/7 (d) 386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (-86)\/(4644\/(-162)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*j + 5962 - 6424 = 117*j - 32087 for j.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160353622 divided by -109681?\nAnswer: -1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -10*u + 11*u + 29*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137119?\nAnswer: 137119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 5*g**2 - 26*g + 5. Let l(u) = u**3 - 6*u**2 - 26*u + 6. Calculate 5*l(b) - 6*n(b).\nAnswer: -b**3 + 26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {h: 2, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccnccncccc. What is prob of sequence cc?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*o**2 + 1572*o**2 + 387*o**2 + 826*o**2 + 612*o**2 in the form c*o**2 + u*o + d and give c.\nAnswer: 3128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461600.\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-6) + 86\/6. Calculate the highest common divisor of 117 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*s - 99*s + 67*s - 1 + 2*s + 1 + (5 - 2 - 2)*(-s + 4 - 4) + 13 - 13 - 10*s in the form g*s + j and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -319*a**3 - 30*a**2 - 84*a - 5. Let b be n(-3). Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2\/3 - 870*t - 10408\/3 = 0.\nAnswer: -1301, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*n*w**3 - 1901*n*w**2 - 95*n*w + 8*n + 13*w - 3 wrt w?\nAnswer: -390*n*w - 3802*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 3*f - 1. Let k be v(2). Let t(y) = -y - y + 2*y - k - y. List the prime factors of t(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/10 + 7*p**4\/6 - 11*p**3\/3 + 5*p**2 - 17*p - 4. Factor d(l).\nAnswer: -2*(l - 5)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122741.\nAnswer: 122741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 17*g + 71. What is r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39e83 + 6e?\nAnswer: -39e15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -1)*6 - (sqrt(612) - (sqrt(612) + -2*sqrt(612) + sqrt(612))**2)) + -5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -86 * 0.075\nAnswer: -6.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 33*r - 1175. Let u be i(36). What is the highest common divisor of u and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -60, -60275 in descending order.\nAnswer: 3, -5, -60, -60275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:36 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.424417 hours in minutes?\nAnswer: 25.46502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 138.\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.016632433 to 4 dps.\nAnswer: 0.0166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, -28, 443 in descending order.\nAnswer: 443, 14, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-3)*(15 + -2 + -6). Suppose -1 = -g - 6*y + b*y, -4*g - 2*y + 10 = 0. Solve 0 = g*o + 3*o - 5*c - 15, -o + 4*c - 3 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*q + p, 2 = -2*q - p - 3. Is 0 - (-750 + (-4 - q)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 1 = 5*a - x, a - 5*x + 23 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/5 + 7*p**4\/8 - p**3 - 5*p**2 + 1. Let o(u) = 0. Calculate u.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 + -0.26. Let i = -0.03 + r. Which is bigger: i or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3254487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 4*f + 6. Let n be d(-3). Let a = n - -6. Let g(o) = 5*o**3 + 2*o - 1. What is the remainder when a is divided by g(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5372631112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 178572?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 54*w - 287960. Round w to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/120*(-7 - -1). Let v = 47.9 - 50.9. Which is the smallest value? (a) v (b) r (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 9*z. Let m be n(-7). Suppose 2*o - 4*y - 62 = 0, 19*o - 32 = 17*o - 2*y. Calculate the remainder when o is divided by -3 - 1\/(2\/m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -38216, 9, -3, 1 in increasing order.\nAnswer: -38216, -7, -3, 0, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -496, -18.79 in descending order.\nAnswer: -2\/11, -18.79, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**6\/2 - 8*f**5\/5 - 3*f**4\/4 + 2*f**3\/3 + 5. Let o(l) = 0. What is l?\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let h be (-2)\/(-1) - (-3 - -3). Let w be ((-5)\/2)\/((-1)\/h). Let m(l) = -6*l + w*l + 3*l. Give n(m(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 12*t = 165. Suppose 0 = -k - 5*s + t, k + 3*s + 0*s - 21 = 0. Calculate the remainder when 50 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**4\/24 - d**3\/3 + 4*d**2 + 2. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56357\/346 >= -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1099)\/(-5) + (130\/25 - 5). Let o = g - -261. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2902*i**2 - 121883*i + 39. What is f(-42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-1404)\/(-2730)))\/((-75)\/18)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/9 - 17817176*w**2\/9 + 17817170*w\/9 + 3959372 = 0?\nAnswer: -1, 2, 8908587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -53) + -1 + 1. Suppose 9 = h - k. Calculate the remainder when h is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*z + 841*z + 3060 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7 - -4.9. What is the biggest value in 0.1, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 5*i**2 + 1. Let q be (6\/(-9))\/(2\/18). Let z be (-2 + 3\/q)*2. Determine f(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95126 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 8)*1\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:21 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y + 2. Calculate r(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5090 - -5092. Put -0.3, h, 3\/49, -5 in decreasing order.\nAnswer: h, 3\/49, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(15)\/sqrt(5)*-5)**2 + 3 + -2.\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3.309 times 221.206\nAnswer: 731.970654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445372.3ml in litres?\nAnswer: 445.3723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(8) + sqrt(32)*-3)*-4 + 5)*-6*4)**2.\nAnswer: 230400*sqrt(2) + 1857600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9273 - 9274. Which is the second smallest value? (a) -2\/3 (b) x (c) -27 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 616*f**4 - 187*f**4 - 194*f**4 - 207*f**4 + 4*f**4 + 2*f**4 - 5*f**4 + (0*f**3 + 0*f**3 + f**3)*(2*f + 2*f - 2*f).\nAnswer: 31*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 24. Let t = 4 + h. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/120 and 3\/(-18)*2 + 357\/216.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4492\/22 + (-3)\/((-132)\/(-8)). Suppose -2*k + m = -0*g + 5*g, k = 2*g - 78. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**2 - 6*q - 3. Suppose -b - 3*l + 0*l = -25, 55 = 3*b + 5*l. Suppose r + 0*r + 27 = -2*y, 4*y - 4*r = -60. Let w = b + y. What is d(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/130 and -41\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2687 or 2690?\nAnswer: 2687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(3 + (-171)\/(-19)). Which is smaller: -3\/9049 or b?\nAnswer: -3\/9049","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -l + 4*l - 4*q, -69 = -3*l + q. Suppose -24*u + l*u = -126. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4408, -4403, -4398?\nAnswer: -4393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128 - (68 - (-27 - -28))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/6 = -23234143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 112.9. Let n = 1737 + -1734. Which is the second biggest value? (a) -3 (b) p (c) n (d) -1\/48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/5, -2\/3, -235?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) -1 (d) -10\/3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01027 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbbhhhhvhvvhhhv. What is prob of sequence vbvv?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -973, -1501, -2043, -2599, -3169, -3753?\nAnswer: -4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38111 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.3. Let t = 0.2 + n. Which is the third biggest value? (a) t (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 37*n**2 + 1852*n - 219. Give m(41).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -0.144, -0.4, 1.091, -5 in descending order.\nAnswer: 1.091, 0, -0.144, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.036301 centuries to months.\nAnswer: 43.5612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 3*r - 2. Let n be m(4). Solve h - 4*h + 0*h**3 + 2*h - h**3 + 2*h**n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*a**5*m - 4*a**4*m - 60*a**2*m - a*m + 13*m wrt a.\nAnswer: -8400*a**2*m - 96*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(-5 - (-4 - 0)). Let i = -2 + 2. Put i, o, -3 in decreasing order.\nAnswer: i, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(672)*-1)\/(-3*sqrt(216) + sqrt(6) + -5*2*sqrt(6)).\nAnswer: 4*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-75))\/(16\/(-80)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165986149?\nAnswer: 7, 43, 149, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 273831.568107 and -5.\nAnswer: 273826.568107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1167*z**2 - 80919 + 80919.\nAnswer: 1167*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 669.9 - 670. Is -382 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from llrj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 21. Let v be l(-10). Let a = 4.2 + -4. What is the nearest to 0 in 0.4, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-1 - (-46)\/(-6))*(-23 + -25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 7:49 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 71*o + 6. Calculate p(-1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4*(0 + sqrt(75)) - -3*(1 + sqrt(75) - sqrt(75))) + -4 + 0)**2.\nAnswer: -40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 + 5*s - 5. Is a(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 9)*(0 + 0 - 2*s + (s - s - 2*s)*(-6 + 2 + 2) - 2*s + 4*s + 0*s + s + 2*s - 4*s).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -378 + 380. Solve v = 6*v + 20, -2 = -2*r - g*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 9. Let y(c) = c**2 - 356*c + 32734. Let a(v) = -15*x(v) + 5*y(v). Suppose a(f) = 0. What is f?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/6*(7 + -10). Let o = -22 - h. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144309a (base 11) to base 7.\nAnswer: 30031514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 445 and 3584.989.\nAnswer: 4029.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - 1666356?\nAnswer: -1666364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.1 (c) -77\/31 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:51 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13284*s**2 - 41296*s**2 - 39418*s**2 + 19809*s**2.\nAnswer: -74189*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 72*y**2 + 4 - 3*y + 2.\nAnswer: -72*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r - 3. Give j(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12581584218.3+-406\nAnswer: -12581584624.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*j + 4 = -19, 3*u - 8 = -j. Let m(z) = -3*z + 3. Let x be m(2). Let t be x + (-5 + u)*-1. Is t at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + r + 77\/4.\nAnswer: -(r - 11)*(r + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*y - 264 = 258*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 23*f**2 + 0*f**3 + 0 - 7\/30*f**5 + 0*f + 0*f**4. Let o(r) = -r**2. What is n(o(x))?\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = -5*j + 105, 3*p = 3*j - 63. Let i = j - -37. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 47*r**3 - 1. Let z be i(3). Suppose -15 = 2*l - 2*j - 29, 2*l + 4*j - 8 = 0. Suppose z = l*x - 2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhs when three letters picked without replacement from vdddvdqshdhhssddvv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) - 4\/6. Let o(a) = 2*a**2 - 2. Let l(s) = s**2. Suppose 0 = -0*r - 2*r. Let n be r*3\/(-6) - -4. Give n*l(w) + v*o(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 819*f**2. Let s be n(1). Suppose 167 = -d + s. Suppose 5*u = d + 663. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 6*a**2 + a + 12. Suppose 5*o - 10 = -2*z, -3*o + 4*z = o - 36. What is the lowest common multiple of o and g(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 129471 and 129469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -186648 divided by -1212?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 3*g**3 + 13*g + 0*g**3 - g to c + r*g**2 + j*g**3 + o*g and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 1784\/19. Which is the nearest to 0? (a) -1.1 (b) 4\/7 (c) n (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -82*v + 164*v - 1 - 80*v. Let u(z) = -2*z. Let c be (8\/10)\/(2\/(-10)). Give c*o(x) - 5*u(x).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -r - 4*y, 2*y + 13 = -r - y. Let a = -1062 + 8499\/8. Sort a, -1\/2, r in descending order.\nAnswer: a, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128062 is divided by 3640.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 4 - -11) + (-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppgpxx. What is prob of sequence xpxp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - a - 19, v = 5*a - 1. Let s be -9456*(v + (-56)\/12)*151. Suppose -s + 3991904 = 4*h. What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 0 - -1 - (-11 - (-15 + 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.642 + -37.142. Let b = -3.2 - -3. What is the third biggest value in b, 2\/13, 0, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + 4) - (0 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2. Let b(a) be the first derivative of -a**5\/120 - a**4\/6 - 16*a**3\/3 + 14. Let d(w) be the third derivative of b(w). Determine t(d(k)).\nAnswer: 2*k**2 + 16*k + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2148*r - 327 + 660 - 333 to the form i*r + y and give i.\nAnswer: 2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4*t**2 - 9*t - 16. Let c be o(-5). Let u(q) = q**3 - 2*q**2 - 2*q + 3. Let h be u(c). Suppose 23*i + 376 = h*i. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*b**4 - 363*b - 10?\nAnswer: 912*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2400) + 1*sqrt(2400) + sqrt(2400) - sqrt(2400))\/(1*sqrt(200))*1*3.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -3 (b) 5 (c) -81 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:04 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 3. Let s be 4\/1*(-17)\/(-34). Let x(g) = -5*g + 2. Let y(a) = s*j(a) + 3*x(a). Let q(n) = 20*n**2. What is q(y(v))?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-14 - 1) - (65 + 50 + (-146 - -27))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286982264 divided by -4.\nAnswer: -71745566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + -38. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948 - 0.1?\nAnswer: -3948.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 2eaae82?\nAnswer: -2eaae7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.423846 years to decades.\nAnswer: 0.9423846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - 2*t - t)*(20*t**2 + 453*t**2 + 69*t**2) + 2*t**3 - 4*t**3 + 0*t**3)*(-2 + 1 + 0).\nAnswer: -540*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -3512.\nAnswer: 17560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17bb + 6?\nAnswer: -17b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 2*c + 1. Let q be x(1). Suppose -3*t = -4*o - 6, 41*o = -4*t + 39*o - 36. Put 3, q, t in ascending order.\nAnswer: t, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72197200 to the nearest 100000.\nAnswer: -72200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q - 17*q - 10 + 20*q - 11*q + 22*q.\nAnswer: -9*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 134, 136, 138, 140, 142, 144?\n\"Answer: 2*f + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 4, 38, 116, 256?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 times -117065?\nAnswer: 7140965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*h + 46, -5*p - 918619*h = -918625*h - 100 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -5*d - 15, -93*u + 67 = -7*d + 87*u - 185*u for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four fifths of a day?\nAnswer: 18432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 232905 from -0.1.\nAnswer: -232905.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 304 - -8376101?\nAnswer: 8376405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 7:12 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 535*n**3 - 235*n**2 wrt n.\nAnswer: 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -333*k**3*r - 2*k**3 - 2*k**2*r - 7*k*r + 28*r wrt k.\nAnswer: -1998*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2214525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332210 rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2815, -2817, -2821, -2827, -2835, -2845?\n\"Answer: -a**2 + a - 2815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*(8\/(-6))\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vcjaevjajaajcjacvj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1488761715 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 + 2*j**3 + 6*j - 26784. Let n be (-38)\/6 + (-2)\/(-6). Determine o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*h + 3*j, 4*h - h - 16 = -5*j. Let c = -2 + h. Let f = 1 - c. Solve 2*x + x - f = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(9\/8)*y*y*y)*y*(y\/(y**11*y))\/y)**(-46) assuming y is positive.\nAnswer: y**(2783\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + 3*sqrt(80) + -6*sqrt(80)*3 - (-2 + -6*-3*(sqrt(80) + 2))).\nAnswer: -132*sqrt(5) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 73521*g + 146905. Calculate k(-2).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-330)*3)\/(13\/(-65)*2)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - -74. Let n = s + -100. Let h = n - 85.0000172. Round h to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - 8*y - 55. Give g(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 49 = 4*z, 26 - 1 = y - 2*z. Let c be 4 - 145\/((-10)\/2). Suppose 0 = 2*s - 3*s + c. Calculate the highest common factor of s and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**4 + 2*z**3 + 3*z**2. Let s(j) = 843*j**4 - 4*j**3 - 5*j**2 - 270. Let k(x) = -2*i(x) - s(x). Find the third derivative of k(c) wrt c.\nAnswer: -20280*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.25 + -1.24725. What is g rounded to four decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12*(7\/28)\/(6\/(-8)). Let y(d) be the third derivative of -1\/12*d**n + 0*d - 1\/6*d**3 + 0 - 1\/60*d**5 + 3*d**2. Factor y(q).\nAnswer: -(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + j + 1. Let s(g) = -6*g**3 + 28*g**2 - 46*g + 5. What is -4*a(r) + s(r)?\nAnswer: -2*r**3 + 4*r**2 - 50*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16219554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2102021000120021?\nAnswer: -2102021000120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 8) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 448, 462, 496, 556?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27299791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(2*v**3 - 3*v**3 + 4*v**3) - 54 + 4*v**3 - 18222*v + 18222*v.\nAnswer: 7*v**3 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5343 and 12.\nAnswer: 21372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjqvzqvqzv. Give prob of sequence qv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*a - 4*n, -44*n - 8 = 4*a - 40*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 787 + -736. Suppose 109 + 350 = o*z. Solve -12*h + z*h = -15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w + 16. Let u be p(-2). Find c, given that 12*c**3 - 10*c**4 + 8*c**2 + 4*c**4 - 2*c**4 + u*c**4 - 12*c = 0.\nAnswer: -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 - 9*j + 2. Let i(d) = -3*d**2 + 4*d - 1. Let u(v) = -9*i(v) - 4*k(v). Let a = 3 + -2. Let n be u(a). Put 2, 4, n in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70331 is divided by 5410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 132154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6406780483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25532*m - 14*m**2 - 25532*m.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10*o**3 + 3*o - 50. Let c(t) = -t + 1. Let i(y) = -3*c(y) - s(y). Find the first derivative of i(f) wrt f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -14 + -6)*4\/5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 1540*b**2 - 117025*b + 240250.\nAnswer: -5*(b - 2)*(b + 155)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19.3, -4, -0.1, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 9*j**5 - 145*j**4\/4 + 55*j**3 - 75*j**2\/2 + 10*j + 1083. Solve d(c) = 0 for c.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 118 + (-6 - -3). What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s - 4. Let u(c) = 132*c - 77. Let v(a) = 77*q(a) - 4*u(a). Let z(g) = -2*g**2. Calculate z(v(m)).\nAnswer: -242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3)\/(2 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -48*i - 869. What is j(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -359, -78, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*k**2 + 122*k**2 - 279*k**2.\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from vsogsyllg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjn when three letters picked without replacement from {r: 8, i: 1, j: 2, x: 1, n: 8}?\nAnswer: 16\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (24 - 42 - (-7 + 2 + -8))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 12) to base 3.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -7, -2\/407, 0.03, 5, 1 in increasing order.\nAnswer: -7, -0.3, -2\/407, 0.03, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5979)\/(-9))\/(208\/364*(-2)\/72). Round m to the nearest 100.\nAnswer: -41900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2) + 1)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 1. Let s be m(2). Let u = -1\/357 - 1034\/13209. Let a = u + -22\/185. Is a equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/15 - 973732*n**3\/15 + 7901283398*n**2 + 3894928*n\/15 - 474077003912\/15 = 0.\nAnswer: -2, 2, 243433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 b when three letters picked without replacement from twwvvtbvvtt?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 317, -56?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/30 - 12*q**2. Let s(f) = 4*f. Give s(o(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224619\/8 + 28128. Let d = u + -1649\/32. Let h = 433\/32 + d. Find the common denominator of h and 71\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**3\/3 + 5*u**2\/2 + u - 2. Let o be 8*-5*(-2)\/16. Let z be b(o). Solve -3*q + 4*q = z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90283 or -89569?\nAnswer: -90283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 15474.\nAnswer: 1\/5158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16623131 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 1)*(-4 + 2 + 1) + 6 - 5 + 8)*(21 - 21 - 5*q)*(-8*q**4 + 2*q**4 - 3*q**4).\nAnswer: 495*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -579, -575, -569, -561, -551, -539?\n\"Answer: y**2 + y - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 7*c**3\/6 + c**2 + 4*c. Does 7 divide x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/13 (b) -6 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24223649707 + -275640909818723\/11379. Let k = r + 2\/3793. Calculate the common denominator of k and 23\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297331*m - 176 = -297339*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5866 - 3663. Suppose -3*l + t + 756 = q, 5918 = 2*q + 4*l. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 33*l**2. Let p(v) = -83345*v. Give y(p(i)).\nAnswer: 229230837825*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 - 14 = 0. Suppose -13 = -d*a + 11. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u - 1. Let w be l(-3). Let i be 49*-3*(-9)\/27. Suppose i - w = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71\/5 of a kilogram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdj when four letters picked without replacement from jdljljll.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-100)\/3)\/(75\/27 - 3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1791 and -83\/54?\nAnswer: 10746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 15560*v + 73419. What is w(-5)?\nAnswer: -4381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 5*u - 98, 7*u - 4*u - 90 = -3*d. Let k = -24 + d. Differentiate 57*x + k*x**2 - 57*x - 10 wrt x.\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*y + 287*y - 1080*y - 225975 = 574*y for y.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 514 + -14. Calculate the greatest common factor of a and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plbs when four letters picked without replacement from {s: 4, x: 1, b: 3, p: 1, l: 4, t: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence quhr when four letters picked without replacement from qccurhhr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a. Let b(s) = 456*s**2. Give h(b(u)).\nAnswer: 1368*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 11:09 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47615131?\nAnswer: 47615131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 4:43 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 8. Let z be 4\/14 - 38\/(-14). Let k be z - (-1 + 3 - -12). Is o(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52\/407 + 2\/37. Let m = 0.8 - 0.3. What is the nearest to -3 in m, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40829, -163257, -367305, -652973, -1020261, -1469169, -1999697?\n\"Answer: -40810*x**2 + 2*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxxsnnmxnnx. Give prob of sequence nm.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(36\/(-21))*-2*(-2)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 538, 558, 612, 718, 894, 1158?\n\"Answer: 3*b**3 - b**2 + 2*b + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25550*f**3 + 78*f + 93*f - 171*f.\nAnswer: -25550*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22988 and 37786?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-77)\/140*-5. Let j(t) be the second derivative of d*t**5 + 11\/6*t**3 - 14*t + 0 + 0*t**4 + 0*t**2. Find the second derivative of j(g) wrt g.\nAnswer: 90*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.8 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3025736, -6051472, -9077208, -12102944, -15128680?\nAnswer: -18154416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -2*sqrt(121))*4 - sqrt(121) - sqrt(121))\/(sqrt(121)\/sqrt(176)).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**4\/6 + k. Let s(r) = 2*r**2. What is s(x(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -2223?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and (159\/(-53))\/(2\/(-24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 8 = 22*p. Let h be (-14 - -13)*p\/2. Let c be 6\/(84\/(-7))*0. Put -3, h, 3, c in descending order.\nAnswer: 3, c, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:28 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 5:05 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-285)\/(-20))\/(-3) + 5. Is 3.25 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 203 - 2*x**2 + 0*x + 3*x**2 - 195 + 3*x. Let d be k(-2). Solve -2*n - d*n = -24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -15, 8*o - 3*o - 23 = -3*a. Suppose 3*y = -3*g - 3, 0 = g + 3*g + a. Suppose 2*l + 4 = -y*m, l = 4*m + 2*l + 2. Solve m = -5*t - 8 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(50)*2)**2.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83251489?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -4*i - 5, -p + i = -1. Let v = 1 - p. Suppose -v*d + 2 = -0*u + 2*u, 0 = -2*d - 8. Calculate the remainder when 19 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 9 (c) 14 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2056, 2089, 2264, 2653, 3328?\n\"Answer: 12*k**3 - k**2 - 48*k + 2093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58503 * -19.\nAnswer: -1111557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1452) + sqrt(1452)*1)\/(sqrt(256)*1 + sqrt(256)))**2 - (1*sqrt(2178))\/(sqrt(600)*-2).\nAnswer: 11*sqrt(3)\/20 + 363\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -13, 6, -4, -5 in descending order.\nAnswer: 6, -0.3, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -1 (c) -2 (d) 0.4 (e) -720\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 7 - 10 - 3*s - s**2 + (-3*s + 4*s - 2*s)*(s + s + 0*s) + 2*s**2 + 3*s**2 + 3*s**2 in the form q + b*s + x*s**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147465 is divided by 4095.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46924748405.6 - -0.12.\nAnswer: -46924748405.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2.7 (c) -0.4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.3 (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3. Let b = 4 - 8. Let f(d) = -5. Let u(x) = b*f(x) + 7*g(x). Let t(r) = 3*r + 6. Determine -t(o) - 6*u(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9) - 35\/60. Let o = 54.7 - 49. Let t = 5.6 - o. What is the nearest to -2 in r, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 5 (c) 2\/7 (d) -7\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7507\/3 or -0.075?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.1. Which is smaller: f or 12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 20154, -2, -5 in increasing order.\nAnswer: -5, -4, -2, -1, 20154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -2\/29, -4, -0.0359.\nAnswer: -94, -4, -2\/29, -0.0359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 234*b - 3793. Determine a(17).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 1. Give x(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976998232?\nAnswer: 2, 11, 4129, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 10:00 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(11))**2*-1 - sqrt(11) - 5*(sqrt(176) - sqrt(11)).\nAnswer: -16*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 + -44 + 44 + (73 - 131)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/2 - n**3 + n**2\/2 - 2*n - 1. Give f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1219, -5124, -11717, -20998, -32967, -47624?\n\"Answer: -1344*g**2 + 127*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5143, 9693, 14243?\nAnswer: 18793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1926019 - 1054136. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2641? (a) -5 (b) 2\/3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/4 + 4)*524. Let z = -3267\/5 - f. Sort -1\/2, z, 11 in increasing order.\nAnswer: -1\/2, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + -0.0044.\nAnswer: -0.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -69. Let t be -6 + g - (20 - 28). Solve -2*y + t = -0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 1 + 1)*(-r**2 + 2*r**2 + 14*r**2)*(-2 + 0 + 1)*(4 + 0 - 1).\nAnswer: -90*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7776.5 + -7777. Let i = -148.7 - -141. Let g = -8 - i. Which is the second smallest value? (a) -2\/9 (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 + -0.3. Let g = -74 + -77. Let t = -156 - g. Put 5, 1.1, p, t in increasing order.\nAnswer: t, p, 1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70466167 or -0.13?\nAnswer: 70466167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 569*k**8\/112 - 251*k**4\/8 - 299*k**2. Find the second derivative of c(t) wrt t.\nAnswer: 34140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 10*r**2 - 3. Let m be b(-10). Is 6 a factor of m - (-12 - (3 + -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4196 divided by -105.\nAnswer: -4196\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47, 3\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1065 by -60.\nAnswer: 71\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64468629, -128937254, -193405879, -257874504, -322343129, -386811754?\nAnswer: -451280379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 1, d: 2, t: 2, y: 1}. What is prob of picking 1 l and 2 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 73\/5 = 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (24\/56 + (-48)\/14). Solve z - 14 = w*d, -4*d - 4 = 3*z + z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2185, -2, -5\/6, -12\/1153 in decreasing order.\nAnswer: 2185, -12\/1153, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24141, 193102, 651693, 1544730, 3017029, 5213406?\n\"Answer: 24136*h**3 - h**2 + 12*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5 + 17*b**4 + 64*b**3 - 11*b**2 + 2*b - 122 wrt b.\nAnswer: -120*b**2 + 408*b + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*z - 10 = 0, -8*l + 5*z = -6*l + 29 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-435) - (45\/(-10) - (-29730)\/696*-2).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 b when three letters picked without replacement from {b: 2, e: 1, o: 2, w: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2401.48*2\nAnswer: 4802.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6671\/2 or -3335?\nAnswer: -3335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510404 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1.25 (b) -5\/9 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -15. Let i = 1.829 + 0.161. Let o = i - -0.01. Which is the second biggest value? (a) -1 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 10:37 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 49 + 61)*(-6*a + 2*a - 2 + 0*a)*(a**4 - 3 + 3).\nAnswer: 124*a**5 + 62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from qnaxanannaqnzxzxaxnn?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639103628725.3 plus 0.4?\nAnswer: -1639103628724.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + h - 25 = -h, 3*u + 3*h - 6 = 0. Let z be (27\/(-21) - u)*-1. Let w be (-2)\/(-2)*1*-2. Which is bigger: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 282\/24 - (-2)\/8. Solve -m + 4 = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -100?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5025*-2352.\nAnswer: -11818800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004149 to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - q**5 + 4*q**5 + (-2 + 2 + 7*q**5)*(-2 + 0 - 1) + 1 - 2*q**5 - 1 + (q - 4*q + 4*q)*(-3*q - 2*q**4 + 3*q) + 0*q**4 - 5*q**5 + 0*q**4.\nAnswer: -29*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 + 14952*t**3 - 59820*t**2 + 59824*t = 0. Calculate t.\nAnswer: -14956, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-15)\/(-3)) + (-6 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 5. Let f(g) = g**3 - 11*g**2 - 13*g + 18. Suppose 2*s = -2*h + 16, 3*s - 9 = -4*h + 11. Let r be f(s). Calculate t(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3837546*p**2 - 63*p + 26494 wrt p?\nAnswer: -7675092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (18 + -56 + 14) - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2 - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = 20 - 7. Let d(i) = 15*i**2 - 5*i + 4. Let h(t) = 7*t**2 - 2*t + 2. Let k(u) = -4*d(u) + 9*h(u). Give k(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 64 = -4*z. Suppose -3*k - z = 4*h, -2*h + 1 = -k - 1. Let n = -8640 + 8639.9. Which is the third biggest value? (a) k (b) n (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/5)*u*u\/(u*u\/u**(1\/4)*u)*(u*u**(-1))**(10\/9))**21 assuming u is positive.\nAnswer: u**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**3 - 19 + 19 + 7*z**3 + z**2 wrt z.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20283*k*x**2 + 66*k*x + 5085522*x**2 wrt k.\nAnswer: 20283*x**2 + 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2150234, -2150149, -2150064, -2149979, -2149894, -2149809?\nAnswer: -2149724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 3. Suppose -14 = -2*p + 5*m, -p + 3*m + 6 = -3. Let a(k) = 6*k + 8. Let g(w) = p*a(w) + 8*h(w). Let j(r) = -2*r**2. Determine j(g(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -120, -465, -1024, -1797, -2784, -3985?\n\"Answer: -107*f**2 - 24*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 295 - 295. What is the closest to 0.1 in -5, 5, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 12 + 112 = -41. Let a(o) = o**2 - 8*o - 68. Give a(s).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14763094*y**3 + y**2 + 4333649*y wrt y.\nAnswer: -88578564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 10. Let x = -1 + 5. Calculate the remainder when x is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:16 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 581356.33179698 + 60405563.66823602. Let u = -60986880 + b. Let f = u - 40. What is f rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1254, -841, -424, -3, 422?\n\"Answer: 2*u**2 + 407*u - 1663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6135 - -0.0925. Round u to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 22449 = -22*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3 - 38474*p**2 - 59515*p - 1?\nAnswer: -18*p - 76948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 + 128. Solve -n + 0*n + f = g, 7 = -n - 2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -727*h**6 + 4*h**5 - h**3 + 21*h**2 - 27*h + 2 wrt h.\nAnswer: -87240*h**3 + 240*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 49*k - 119. Suppose 2*w + w - 9 = 0. Calculate the smallest common multiple of 8 and s(w).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*n - 9 + 9*n - n + 0.\nAnswer: 49*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 5*u + 2*y + 73, -8 = -3*u - 4*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1147828 = 313*k + 1156279 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -228520, -228550, -228580, -228610, -228640?\n\"Answer: -30*i - 228490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 0.02, -6\/13, 5\/37, -1, 0 in decreasing order.\nAnswer: 5\/37, 0.02, 0, -6\/13, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -7\/1171353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167092 and 78292?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -45 (c) 229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190738 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 9315.95?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -432 + 436. Solve 2*s + 4 = -n*f + 12, 2*f - 16 = 5*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u. Let x(c) = -7*c**2 - 2*c. Let n(r) = 22*r**2 + 7*r. Let g(m) = -2*n(m) - 7*x(m). Give g(o(b)).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -25, 22\/19, -5?\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {f: 10, p: 1, l: 3, h: 2, b: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -67, -131, -197, -265, -335, -407?\n\"Answer: -l**2 - 61*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g + 102. Let p be n(-30). Suppose j = 2*j - 8. What is the greatest common divisor of p and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1980\/2610*87 + (-19 - 2\/(-2))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**2 + m - 2. Let n be f(-2). Is 8 a factor of n\/((-3)\/26) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40798 is divided by 3397.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, z: 3, w: 1, r: 3, y: 5}. Give prob of sequence zyy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 4*o**2 + 3*o + 1. Let z be r(2). Let n be (-8)\/(-12)*-2*(-10 - z). Solve -n*u = -15*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -781 and -0.5.\nAnswer: -781.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/4 + 5*i**4\/4 + 3*i**3\/4 - 5*i**2\/4 - i.\nAnswer: i*(i - 1)*(i + 1)**2*(i + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 179 - 207. Let k = n + 582. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/33 and -19\/867.\nAnswer: 9537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -388 + 5959\nAnswer: 5571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -640 + 803. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83.1895 * 0.04.\nAnswer: 3.32758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11287 - 2*s - 11287 - 4023*s**2 + 2*s as w + l*s**2 + c*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 - 5*p**2 + 3*p - 25. Calculate the smallest common multiple of s(4) and 162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 64 = -3*k. Let j(f) = f**3 - 9*f**2 + 3*f - 31. Let c be j(9). Let x = c - k. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 384*x + 2686. Determine o(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 2. Let f be r(5). Let q(n) = 13098 + 71*n + 45*n - 13118 - 23*n. Is q(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 826494029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n - 92*n + 59685 = 50731 for n.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + -1. Put -1, b, 1\/3 in ascending order.\nAnswer: b, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w + 1)*(21 - 21 - 13*w)*(8 + 4 + 16) + w**2 - 2 + w - 8 + 9.\nAnswer: 365*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-23 - 2541\/(-105)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daldaadla. What is prob of picking 1 d and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6761*h**5*u - 40*h**2 - 3*h*u - 1 wrt h.\nAnswer: -405660*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 11.9999995. Round v to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19500378 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20256652 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 120?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -21.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25530048 + 53920048. Round u to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 3 + (5 - 7). Let t(i) be the first derivative of -2 + 1\/5*i - 1\/5*i**r + 1\/15*i**3. Factor t(x).\nAnswer: (x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*s + 1716 = 0, 23 = -3*z + 5*s - 1699. Put 3, 4, -5, z in decreasing order.\nAnswer: 4, 3, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*x + 80 + 13 - 576 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409*w - 816*w + 417*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (29 - 29) + -8\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/(-55)*(-3090)\/(-81). Which is bigger: z or 45?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 5*z**2 + z + 6. Let x be q(-5). What are the prime factors of (x - 4)*220\/(-15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z - 1. Let o(d) = 4*d - 15. Let m(i) = o(i) - 3*q(i). Let r = 8 - 3. Calculate the remainder when 44 is divided by m(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -47*t + 6. Let u(i) = -6*i**2 + 13*i. Give g(u(p)).\nAnswer: 282*p**2 - 611*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, g: 2, v: 1, b: 8}. Give prob of picking 1 f and 1 v.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388667 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/260)\/(-2))\/((-1)\/(-5))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 3:54 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/18 and -101\/221665114?\nAnswer: 1994986026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 12*h - 457. Calculate the highest common divisor of h and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-60)\/40 - 2038\/(-4)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -111948, -447779, -1007498, -1791105, -2798600, -4029983?\n\"Answer: -111944*z**2 + z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -k. Let z be 2*(-3)\/k*1. Let o be z*3*(-2)\/(-6). Solve -o*i + 0*i + 5 = -2*d, 0 = 2*d + 5*i - 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let s(d) = -7504*d. What is s(g(c))?\nAnswer: -7504*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3334 + -1522. Let t = z + -9001\/5. Which is smaller: 11 or t?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/9)\/f**(-36))\/(f**(-2\/5)\/f**(1\/6)))**14 assuming f is positive.\nAnswer: f**(22897\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*f**4 - 42*f**3 + 251 wrt f.\nAnswer: -44*f**3 - 126*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 2 + ((sqrt(700) + sqrt(700)*-3 + sqrt(700))*-6 - sqrt(700) - sqrt(700) - -1*(sqrt(700) - (sqrt(700) - sqrt(700)*-5))))**2.\nAnswer: -180*sqrt(7) + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 3\/(-3))\/1. Let d = 3 + j. Solve 1 = v - 2*u - 0, -d*u + 11 = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 690 - 570. Let t = d - 120.3. Which is the closest to -5? (a) -1\/4 (b) -21 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5390, 0, 3 in decreasing order.\nAnswer: 5390, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7007489, -7007488, -7007487, -7007486, -7007485, -7007484?\n\"Answer: o - 7007490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 15 + 174. Suppose -a*d = -19*d + 240. Calculate the remainder when 55 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.47 + 4.942. Let z = 0.272 - y. Which is the nearest to -0.2? (a) z (b) -2\/3 (c) -0.5 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/5 and -38*((-4)\/3)\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 10:44 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/900 and -41\/700?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*h - 247*h = 1339950. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n + 479. Let x(o) = 16*o + 1443. What is 13*p(t) - 4*x(t)?\nAnswer: t + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*k + 2)*(0 - 1 + 2) + k + k - 4*k + (3 - 3 - 1)*(-3*k + 3*k - 3*k) + (-2 - 4 + 4)*(-2*k - 3*k + 4*k) + 825 - 825 + 42*k.\nAnswer: 43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/4*(-28)\/(-168)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 202.4 and -152055.\nAnswer: -30775932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28443, 2, -8, 3, -5 in descending order.\nAnswer: 28443, 3, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 7*i - i + 13*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2041 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*v**3 + 72*v**3 - 14*v**4 - 152*v**3 + 2*v**4 - v**4 - 2*v**4 + (2*v**3 + v - v)*(0*v + v + 0*v).\nAnswer: -13*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkwkwkwkkk. Give prob of sequence kw.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061 = 12*l - 60*l - 45*l + 55 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/9)\/t)**0)**(-5\/2) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from kkkkdkkuwukuzuud.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2125020 and 131219985?\nAnswer: 524879940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -106 times 0.07\nAnswer: -7.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 370?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 157359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 + -115. Is t at least 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(3\/4). Let w be ((-2)\/3)\/((-21)\/126). Solve w - a - a + 6*a + a**q = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 60739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -168*j + 173. What is c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1205 + 0.0205. What is the fifth smallest value in -4, o, 1, 0.4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - ((-3 - -1) + 47 + -27)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-8)\/4)*(0 - 1). Suppose 2*h - 42 = -3*v, 4*v - v - h - 42 = z. Calculate the greatest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 819046*q**3 + 416910 wrt q?\nAnswer: 2457138*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 1983844801228000?\nAnswer: 1983844801228004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-1 - (2 + -5)). Suppose -h*s + 12 = -6*s. Let n(t) = -t**3 - 4*t**2 - t - 4. Let c be n(s). Which is greater: 2\/9 or c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 39589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 10) + (10 - 9) + 13 - -13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 119988576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*z + 175 + 53 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1242*f - 619*f = 620*f + 1330581. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*r + 389 + 187 = 0, -4*r = -o + 298. What is the remainder when o is divided by (3 - (-30)\/4)*4?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32 + 4*h**2 - 166*h**4 - 2*h**2 + 169*h**4 wrt h.\nAnswer: 12*h**3 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 2 (c) 1\/5 (d) -1497 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/29? (a) -17 (b) 1\/8 (c) 3 (d) 977\/3 (e) -1\/2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/6 - 91*h**2\/3 - 185*h\/2 = 0.\nAnswer: -3, 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-168)\/(-630))\/(2\/(-5)))\/(2\/(-9)). Solve -h = -5*m - y, -3*m - 15 = -26*y + 21*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435 + 434 - 869 - 2*t + 11*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3516878820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 12:56 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 - 8*p + 2. Suppose 5*h + 18 + 17 = 0. What is the units digit of j(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r - 616 = 0. What are the prime factors of r?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihx when four letters picked without replacement from {i: 2, h: 7, x: 5}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -4.2. Let r be (0 - 0)*((-48)\/6 - -9). Let u = -0.038 - -0.038. Which is the closest to u? (a) -14\/3 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 + -0.02?\nAnswer: -150.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 2, 5, 13, -44 in increasing order.\nAnswer: -44, 2, 5, 13, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14551\/643559 + 1\/7231. Suppose -2*z = -0*x + 5*x - 1, -x = 2*z - 5. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12427, 4, 3, 0 in decreasing order.\nAnswer: 12427, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 401 - 399. Which is the nearest to k? (a) 1\/9 (b) 2\/7 (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 23 - 5 - (9\/3 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1231\/494 - -2\/247. What is the second smallest value in 0.4, -0.5, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**2 - 2*w + 4. What is l(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)\/sqrt(2))\/sqrt(3).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148702.\nAnswer: 2, 19, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32877*u**4 + 30849 wrt u?\nAnswer: -131508*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = 6*j - 2984. Let r = j - 154. Suppose r = 4*f - 5*c, -c = 2*f - 3*c - 100. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 + 11 = -5*y. What is the lowest common multiple of y and 21\/(-49)*(-5 - (-1 + 3))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5 - 13664*f**4 - 233456*f**3 + 40984*f**2 + 727660*f + 466888 = 0?\nAnswer: -17, -1, 2, 3433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2\/87, -1, 3, 1\/4 in decreasing order.\nAnswer: 20, 3, 1\/4, 2\/87, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-564)\/(-423))\/((-2)\/(-9)). Let c be 0\/((-9)\/(-3) - 1). Suppose 5*b + 3*n - 2*n = c, -5*b = -5*n. Solve 12 = -h*z + z - 3*x, b = -2*z - 2*x - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 36822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/41 smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 - -170. Let b(j) = 3*j + 3. Let y(s) = -7*s - 7. Let o(d) = 5*b(d) + 2*y(d). Calculate o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5 + 105*w**4 - 1754*w**3 + 5616*w**2 + 11392*w - 15360 = 0. Calculate w.\nAnswer: -120, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(1782)*5)\/(-5*(sqrt(1584) - (sqrt(1584) + 3*2*sqrt(1584)))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23762*i**5 - 68234*i**4 - 793204*i**3 + 730660*i**2 + 103586*i + 3430 = 0 for i.\nAnswer: -5, -7\/109, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187 and 5.\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 965*w**3 - 15*w**2 - 2885*w + 1930.\nAnswer: 5*(w - 1)**2*(w + 2)*(w + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 + 5*h**2)*(0 - 1 + 5).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-117)\/(-6) + -20). Solve -5*o = h*u - 37, 0 = 3*o + 1 - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647 > 144000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 10*w + 71. List the prime factors of q(14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026204 to six dps.\nAnswer: 0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*h - 35 = 0, -3*y - h = -2*y + 1. Find the third derivative of 4*t**2 + 7*t**2 - t**2 + 2*t**y wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 9*t - 9. Let y be v(9). Let w be (15\/10)\/(y\/(-30)). Suppose w*h + 10 = 0, -3*m + h - 2*h + 49 = 0. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -16*q. Let o be n(-1). Suppose -u + 1 - 10 = 0. Let r = u + o. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 31*h + 60. What is k(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 395438 - 1.3?\nAnswer: 395436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -244 - 43?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-2)*((23 - 5) + -41 + 22).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.78991 rounded to the nearest integer?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 142 = -1678. Let t = s - 112. Calculate the smallest common multiple of t and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 305773392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 12 = -0. Let u(h) = -2*h**3 + 5*h**2 - 5*h + 4. Let d(v) = -v**3 + 3*v**2 - 3*v + 2. What is j*u(x) + 5*d(x)?\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -65. Let y = f - 14. Factor 34\/3*w**3 - 10\/3*w**4 + 22\/3*w - y*w**2 - 4\/3.\nAnswer: -2*(w - 1)**3*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -22*n + 23*n - 2*o, 0 = -4*n - o - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -61. Suppose -r + 4*t = -14, 3*r - 2*r + 4*t + q = 0. List the prime factors of r + 31 + (-2 - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 12*v - 2. Let w(p) be the second derivative of -p**3\/2 - 25*p. Determine o(w(y)).\nAnswer: -36*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/126532214 and 10\/3.\nAnswer: 379596642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 6157.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:54 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 120*v - 92 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/36 - p**3\/18 - p - 1. Let a(k) be the first derivative of n(k). Suppose a(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8701 by 6.\nAnswer: -8701\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.162 - -2.159. Let c = q + 0.003. What is the second smallest value in 10, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*r - 44*r - 5*u = -39, -8*r - 12*u = 24 - 120 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*k*t - 2*c**2*t**3 + c**2*t + 7*c*k*t - 4*k*t**3 wrt t?\nAnswer: -12*c**2*t - 24*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + 0.2. Let o = 59 - 24. Let a = 104\/3 - o. What is the closest to j in 4, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 28*u + 217. Let m be z(18). Calculate the highest common factor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 662476, 662474, 662472?\nAnswer: 662470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + 1.8. Let l = -2.26 - -2.26. What is the closest to -1 in v, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4*w + 18 - 15 - 6*w to the form c + l*w and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 102861632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 411385 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**4 - 2094*g**3 - 374751*g**2 - 2932944*g + 106147392 = 0.\nAnswer: -344, -23, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 25*p**4 - 70*p**3 - 10*p**2 + 65*p + 35.\nAnswer: 5*(p - 7)*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - r + 2)*(10 - 4 + 11)*(-14*r**2 - 14*r**2 + 24*r**2) + (2 + 1 - 1)*(2*r**3 - 2*r**3 - 2*r**3).\nAnswer: 64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 708096635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 633602 and 216.\nAnswer: 68429016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 - 89*f - 495. Give w(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 778, 774, 770, 766, 762?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -100, -4, -371\/2 in decreasing order.\nAnswer: 1\/3, -4, -100, -371\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-756))\/(1\/3) + (-33)\/7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17532679.\nAnswer: 761, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3 + (-1946)\/6. Let d = 471 + n. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9*(-4)\/12 + 20 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 610.0854 decades?\nAnswer: 61.00854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g, -3*g + 6 = -3*f. Let v = 7 + f. What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6428 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of n**2 + 177*n + 88 wrt n?\nAnswer: 2*n + 177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2132*t**2 + 936 + 5*t**3 + 13*t**3 + 456*t + 2594*t.\nAnswer: 2*(t + 1)*(t + 117)*(9*t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7b9 - 17?\nAnswer: a7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4789836641?\nAnswer: 23, 173, 1203779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3103299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from {s: 2, m: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13432 (base 8) to base 9.\nAnswer: -8101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 3:11 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*k + 82. Let f(m) = -m**3 + 43*m**2 - 6*m - 43. Is f(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -237\/173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 4 (c) -1 (d) 19\/2 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18623 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 - -708. Calculate the greatest common factor of 30 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 13117*k**2 + 96*k + 1315. Let p be a(-15). What is p rounded to the nearest ten thousand?\nAnswer: 2950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27022\/2290*(-1 + -1 + 1) + 4*3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1514642 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide -1 - -6*5*35\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 11 in increasing order.\nAnswer: -2, -1, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/2)*k*k*k*k\/(k**(-7\/5)*k) assuming k is positive.\nAnswer: k**(59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:07 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/5*u + 2*u**2 - 16\/15 + 4\/15*u**3 = 0. Calculate u.\nAnswer: -8, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.8. Let h = 105\/388 + -2\/97. Let w be (-4)\/40 - 1\/(-2). What is the nearest to 0 in w, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1688 and -3.\nAnswer: 1685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/2 and 139\/3870?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**2 + 6084*s - 2419376 = 0.\nAnswer: -3398, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 - 10*h**4 + 14*h**3 + 10*h**2 - 12*h = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**0)**42)**44)**34 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15220 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3826 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8164?\nAnswer: 2, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:04 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, 2, -379, 4 in descending order.\nAnswer: 4, 2, 1, -1, -2, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013141048 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2403 divided by 8873\nAnswer: 2403\/8873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494972?\nAnswer: 2, 17, 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/210 + a**4\/84 - 2*a**3\/21 - 5*a**2. Factor r(v).\nAnswer: 2*(v - 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 111001000?\nAnswer: -111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 0.3, -5, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 n when four letters picked without replacement from qnqiiqniinqq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 2953, 6416, 11279, 17548, 25229?\nAnswer: 34328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d + 3*y = 11, 3*d + 2*y - 8 = 0. Let c be 8\/(-4 + d) + 5. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/15 and (150\/(-81))\/(12\/(-45)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257104522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -86. Let r = h - -66.8. Let x = 8.01 + r. What is x rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from yyaiiaiaayyayyayay?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -849 + -78?\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11053 + 6?\nAnswer: 11062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4345321 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)*(o**(-2\/11)*o)\/o)**(11\/6)\/(((o*o*o\/o**(-6))\/o**(-4))\/(o*(o\/(o\/((o\/(o**4\/o))\/o)))\/o*(o**(1\/5)\/o)\/o)) assuming o is positive.\nAnswer: o**(-2231\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(2 - 12\/5). Let n be (-1 - o\/(-3))*6. Let v be ((-60)\/16)\/((-7)\/(448\/40)). Solve 0 = k + n*k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224685868?\nAnswer: 2, 11, 19, 53, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7.72. Let g = 0.2789 - q. What is g rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 8, -18, -61 in descending order.\nAnswer: 8, 2, -4, -18, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.482 - 2738449.\nAnswer: -2738448.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - 43 - 72 - -7?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - -11*3\/1 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**2*h**2 - 259*g**2*h + 3*g*h**2 - 24593*h**2 + h wrt g.\nAnswer: 10*g*h**2 - 518*g*h + 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n + 2*t = 4, 0 = 3*t - 6. Solve 4*b + n = -5*c + 10, 22 = -c + 4*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/4 + 1\/4. Which is the smallest value? (a) -0.1 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -63*g**3 - 168350613*g**2 - 112467967807032*g + 5355617896368 = 0.\nAnswer: -1336116, 1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2200110111 - 10020?\nAnswer: -2200120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*((-40)\/6 - -7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254 - 559. Let z(d) = -5*d**2 - 3*d - 2. Let y be z(5). Let q = y - n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16643790?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(891) + (sqrt(891) + sqrt(891)*-1)**2) + sqrt(891) + -2 + 0 - ((1*(3 + sqrt(11)) - (sqrt(11) - sqrt(11)*-1*-4)) + 4).\nAnswer: -9 + 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*x**2 + 3*x**3 - 680*x**4 + 708*x**4 + 3 + 132*x**2 to the form l*x**2 + p*x**3 + s + i*x + q*x**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.1, -5, 39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47960 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12475145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20336277352 - 10342.\nAnswer: 20336267010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -29*b + 11. Let r(d) = 10*d - 4. Let u(s) = 3*q(s) + 8*r(s). What is u(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 4 (b) 1\/9 (c) 5 (d) -83267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0 (b) -5 (c) -0.1 (d) -21 (e) -86180 (f) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011001000 - 11?\nAnswer: -10000011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623110 = -22*b - 34742. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.178 + 0.548. Let o = -0.2103 + x. Round o to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101201 - -2010212?\nAnswer: 1202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -170 + 46. Let j = 5 - -26. Calculate the highest common divisor of o and j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-2 - -4) + 0) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2770 + 2780. What is the closest to g in -0.1, -3, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 577 - 312. Let v = 393 - y. Suppose 2*g - g - 4*i - 17 = 0, 4*g + 4*i - v = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 1, c: 2, s: 1, k: 1}. What is prob of picking 2 c and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*r - 14*r. Let d(t) = -r*t - 5*t**2 + 5*t + t. Let u(w) = 2*w - w - 2*w. Determine d(u(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 8, -3 in increasing order.\nAnswer: -3, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -407*o + 21. Let i(m) = -406*m + 17. Determine 5*i(f) - 4*p(f).\nAnswer: -402*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n*n\/(n\/(n\/n**4))*n)\/n)\/n)*(n\/n**(1\/8)*n)\/n)\/(n*n\/n**(-1\/2))**4*((n**(-5)*n)\/(n**(1\/4)*n*n))**(6\/11) assuming n is positive.\nAnswer: n**(-839\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5 - 10*s**2 - 25\/2*s - 5\/2*s**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -4 + 19 + 3. Let y(q) = 61*q - 46. Let i be y(1). Solve -f*w - 9 = -i*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149 or 132?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -32. Let x(o) be the second derivative of 21*o**5\/20 - o**4\/12 + o**3\/3 - o**2 + 23*o. What is the remainder when 37 is divided by x(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11931.04 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssooooooosoooooo.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1274 and -145\/1638?\nAnswer: 11466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**3 + 4*u**2 + u + 1. Let n be x(2). Let y(k) = k. Let t(f) = 4*f. What is n*t(m) + 10*y(m)?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -26*w + 56*w - 27*w - 20 - 2. Let n be i(10). What is the second derivative of -28*y - 18*y**4 - 18*y - n*y**4 wrt y?\nAnswer: -312*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, 5.9, -1, -0.14 in ascending order.\nAnswer: -119, -1, -0.14, 5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 - 581 = -12*t. What is the least common multiple of 357 and t?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyf when three letters picked without replacement from nnnnfniixynnnnyn.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*i**3 - 105*i**3 + 216*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0*b**3 + 2*b + 0*b**3 - 5*b + 4*b**2 - b**3. Let i be j(2). Suppose 3*x - 24 = 2*x + 3*o, -o - 3 = 0. Solve i*c - x = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*d + 2552 + 1293 = 0, 0 = -2*u + 4*d + 3854. List the prime factors of u.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 - 58150*o + 16939845 = 0. Calculate o.\nAnswer: 299, 11331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/3)\/((-110)\/(-198))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 34. Determine z(27).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - v**3 - 6*v)*(1 + 3 + 0).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180 - 165*u**2 + 392*u**2 + 139 + 91 to the form n + w*u + t*u**2 and give t.\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13862 is divided by 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2593.05 + 4.1.\nAnswer: 2597.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85384, -2657, -2, 5 in ascending order.\nAnswer: -2657, -2, 5, 85384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 28, 28, 26?\n\"Answer: -n**2 + 5*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 2. Let c be v(-3). Let x be (38\/6)\/(-3*(-1)\/(-126)). Let u = 265 + x. Put -4, c, u in decreasing order.\nAnswer: u, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (25 + 36935\/166)*(-8)\/282\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -17 + 30 - (3 + 1 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (45 - (-7 + 37))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(170))\/sqrt(5))\/(-4*sqrt(98) - sqrt(98)).\nAnswer: 3*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70682 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (2 - (5 + -3)) - (-5 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12948\/5 in -10, 0.3, -0.3, 2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 370819 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -22*t - 206. Let p be x(-9). What is the tens digit of ((-3)\/(-6))\/((p\/1)\/(-7984))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -16*l + 2. Let m(x) = -1. Let b(f) = f - 1. Let y(p) = 2*b(p) - 2*m(p). Calculate y(o(k)).\nAnswer: -32*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17987071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*t - y, 3*t + 1971*y + 26 = 1967*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltotnlooltlottl. Give prob of sequence oto.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2)\/((-6)\/(-4)). Let j(h) = 0*h**2 - 3*h**2 + h**2 - 2*h**c. Let i(n) = -1. Let b(u) = -u + 3. Let v(r) = 2*b(r) + 6*i(r). What is j(v(g))?\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 5*w**2 - 2*w - 3. Let t be g(4). Let y = t + -1. Let o = y - 4. Is 0 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 2 - 706*p - 16 + 8 to s*p + n and give s.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o, -3*o = 3*c - 0*o. Let n(j) be the second derivative of 0 + 0*j**3 + 6*j**c - 3\/20*j**5 - 3\/4*j**4 + 3*j. Find k, given that n(k) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*t**3 - t**4 - 2 + 2*t**5 + (-3649*t**2 - 141*t**3 + 3649*t**2)*(-t**2 + 2*t**2 + 2*t**2).\nAnswer: -421*t**5 - t**4 - 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -445\/114 - -14\/19. Let v = -1\/101 - -110\/909. Find the common denominator of v and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 207 = 4*o - i, 5*i - 187 = 4*o. Let a = 53 + o. Suppose a = -4*l + 3*d + 984 - 189, 2*l + 4*d - 370 = 0. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**6\/360 - a**5\/50 + a**4\/30 - a**3\/6 + a. Let d(p) be the second derivative of v(p). Suppose d(i) = 0. What is i?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0269232 times 7.94?\nAnswer: -0.213770208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/252 and -65\/24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + 4 + (sqrt(98) - (sqrt(98) + 0))))**2.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-70)\/(-245) + -1 + 54\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 12) to base 13\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1\/(-1 + 0). Let c be 1\/(-5 + 8 - 1). What is the closest to 0 in 6, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (888\/45)\/(-8). Let v(p) = p**3 + 8*p**2 - 19*p + 11. Let x be v(-10). Is q less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 107578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85289, 85704, 86121, 86540?\nAnswer: 86961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 201435\/(-105) - 12\/21. Let m = x + 3259. What are the prime factors of m?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p + 9. Let m be k(-7). Suppose -2*a = -6*a + m. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 23*s - 21*s - 16, -15 = -5*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(((-84)\/30)\/14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217075 is divided by 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 7*c - 4*c)*(-3 + 7 - 2)*((0 - 2 + 3)*(4540 - 1688 + 399)*(-2 + 7 - 4) - 5 - 2 + 5)*(-3*c + c + 4*c).\nAnswer: -25992*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 64260*i - 449820. Let k be b(7). What is u in -6\/11*u**4 - 72\/11*u + 138\/11*u**2 + k - 60\/11*u**3 = 0?\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3760 + -3759.1. What is the nearest to -0.1 in 2\/7, 0, s, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 937 + -937. Let q be (0*1\/3)\/(34\/(-17)). Solve q = -5*h - 5*s - 20, c = 3*h + 3*s - 4*s + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 10) to base 16\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t - 97*t**2 - 150*t**2 + 245*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssb when three letters picked without replacement from sbbbsbsbssss?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 + 12 = 0. Suppose x = 4*q - 3*p - 9, -5*q = -4*p - 21. Suppose n = 2*r, 2*n = 3*r + n - q. Solve r = 5*i - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 + 8*a - 1. Let f be i(-8). Let t(m) = 13*m**2 + 1. Let x be t(f). Let g = 30 - x. What is the remainder when 31 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 123?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 66*u**2. Let h(q) = -3853*q + 3852*q - 2 + 2. Determine h(j(x)).\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 6:23 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*o + 2549 = 628 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/3 + 171080*u\/3 - 5981675\/3.\nAnswer: -5*(u - 34181)*(u - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 715 + -710. Solve -2*f - 5*a + 28 = -0*a, 0 = t*f - a - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13*s**3 + 6*s - 29. Let a(x) = -209*x**3 - 95*x + 456. Give -6*a(r) - 95*z(r).\nAnswer: 19*r**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - ((-13 - (-34 + 9)) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n**2 + n**2 + 3*n**2)*(-2454*n**2 - 22792*n + 22792*n) + 2*n**3 - 2*n**4 - 2*n**3 to p + c*n**3 + v*n + f*n**4 + x*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13867 is divided by 240.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*d + 2, 5*g = -2*d - 2*d - 6. Let u be 1*5 - (0 + 2). Suppose -u*a + g = -2*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 6*u - 26, -2*p + 12 = 103*u - 111*u for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*k**2 + 2\/15*k**3 + 32\/15 + 22\/5*k.\nAnswer: 2*(k + 1)**2*(k + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7127 is divided by 6915.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 282491171 to the power of 1\/3, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0 (b) 12 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 22. Let l(o) = o - 50. Let y(s) = 2*l(s) - 5*p(s). Let w(a) = 30*a. What is w(y(d))?\nAnswer: -90*d + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 119479.474 rounded to the nearest one hundred?\nAnswer: 119500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 615.2 + -610.2. Sort h, 0, -86.\nAnswer: -86, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 61681 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68914 rounded to 2 dps?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/4 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 69*a = 73*a + 16, 0 = -2*a - 14. Solve 0 = -y*b + k + 6, 4*k - 41 = -5*b - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 213 - 299 = 0. What is the tens digit of ((-23)\/(-4))\/(8\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 10435.\nAnswer: 10435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(2\/31)*j*j*j**32*((j\/j**24)\/j)\/(j**(-19)\/j) assuming j is positive.\nAnswer: j**(959\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/3 + 3610*i**2\/3 - 50246*i\/3 + 58506.\nAnswer: -2*(i - 1791)*(i - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53737055 or -53737058?\nAnswer: -53737055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 8*p + 20. Let z be o(5). Let b(n) = 2*n - 9. Let w(s) = s - 4. Suppose -m - 9 = 4*y, 2*y - 3*y = -2*m. Give y*b(t) + z*w(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 5. Let a be n(6). Let y = 36 + a. Calculate the remainder when 36 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -a?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0632 + 0.1632. What is the nearest to z in -3, 0.2, 30?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76497 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c = -a + 119, a - 119 = -2*c. What is the remainder when a is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34990896 and 2192.\nAnswer: 34990896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -95 + 1043\/11. Let m = -0.93 - -1.13. Which is the nearest to p? (a) 0.3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6745131871?\nAnswer: 17, 59, 761, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -266.03 - -0.1297.\nAnswer: -265.9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21729682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4129, 4133, 4127, 4105, 4061?\n\"Answer: -t**3 + t**2 + 8*t + 4121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/18)\/(466\/(-1398)))\/((-1)\/3 - -5)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135276189?\nAnswer: 3, 2711, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + 4*x**2 - 4*x**2 + (-8*x**3 - 26*x**3 + 10*x**3)*(2*x**2 + 2*x - 2*x).\nAnswer: -50*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1202021211020 (base 3) to base 7\nAnswer: 10624500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 2801*l**3\/6 + 1298*l. Let h(c) = 3*c. Calculate b(h(d)).\nAnswer: 8403*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-26)*((-6)\/2)\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 5*i + 1 - i)*(5*i - 5*i + 2*i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23444 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**(-2\/3)\/n))*n)**(-1\/11)*(n*n**2)**(-4\/37) assuming n is positive.\nAnswer: n**(-322\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - a - a)*(-a**2 + 2*a - 2*a)*(-4834526 + 4834526 - 6074*a**2).\nAnswer: -18222*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Let h = 5 - y. Let i be (-3)\/(24 - 3)*h. Is i greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2\/15 + 2\/15 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*l - 126*l - 18*l**2)*(-2*l + 1 - 1 + (4 + 2 - 4)*(61 + 34 - 33)*(1 - 2*l - 1)).\nAnswer: 4500*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o - 7. Let z be p(4). Suppose -2479 - 2010 = 5*m - a, -z*m + 5*a - 4505 = 0. Let s = -360 - m. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11337, -23014, -34679, -46326, -57949, -69542, -81099?\n\"Answer: s**3 - 11684*s + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*l + 2*g + 7, 0 = -3*l - 2*g - 7. Let v = l + 3. Suppose 5*b + 2*o = -24, -16 = 2*b - v*b + 4*o. Sort 1, b, -5.\nAnswer: -5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 5*n. Solve 10 = -4*w - n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59332.\nAnswer: 2, 7, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 29, 59, 101?\n\"Answer: 6*v**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1739284?\nAnswer: 2, 434821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/11 and -1.73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -200101?\nAnswer: 122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*t - z, 12 = -4*z - 0*z. Does 31 divide (t - 2)\/(4\/(-62))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*x - 74 + 74 + (-3 + 3 - x)*(-1 - 1 + 0).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3192 is divided by 3183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0747 - 2.0747. Which is the closest to m? (a) 4\/5 (b) -3\/2 (c) -1\/7 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 33 + (-29 - -6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567589?\nAnswer: 11, 51599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 - 6698*g**3\/3 - 6700*g**2\/3.\nAnswer: 2*g**2*(g - 3350)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 77 - 25)*(-5*y + 4*y - y) - 9 + 9 + 3*y.\nAnswer: 203*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -761 + 731. Is f less than or equal to -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {m: 11, f: 1, o: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(4 + 3*sqrt(8)) - -3*(3*(1 + 0 + sqrt(242) - sqrt(242) - sqrt(242)))**2.\nAnswer: -558*sqrt(2) + 6589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03854 times 8?\nAnswer: -0.30832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 16, -1\/10, 19?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*j**2 - 123*j**2 - 130*j**2 - 121*j**2 + 596*j**2 - 121*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*y + 2*t, 0 = 4*y - t - 11 - 29. What is the third derivative of -6 + y - 4*n**3 - 5 + 4*n**2 wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3009, -6039, -9095, -12171, -15261, -18359, -21459, -24555?\n\"Answer: a**3 - 19*a**2 - 2980*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -628, -2545, -5728, -10177, -15892, -22873?\nAnswer: -31120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -26 (b) -3 (c) 34.79 (d) -1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001 + -110101100100011101?\nAnswer: -110101101010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*p**3 + 4 - 3 - 3 - 1.\nAnswer: -68*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 375 - 143. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 times -0.3?\nAnswer: -78.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 + 119. Solve n*l - 2 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c**2*m - 5*c**2 + 15*c*m**2 + 10*c*m*q - 86*q - 61 with respect to m.\nAnswer: -7*c**2 + 30*c*m + 10*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28970 is divided by 337.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72 - (15 - -10)) + -2 + -12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(28)\/sqrt(4)*6) + ((sqrt(85)\/sqrt(5) + -2)*-6)**2.\nAnswer: -863*sqrt(17)\/6 + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/627)\/((7\/49)\/(3\/7)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4571495, 4571460, 4571365, 4571180, 4570875?\nAnswer: 4570420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 374 - 370. Sort 1\/8, 0, 1\/2, c.\nAnswer: 0, 1\/8, 1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 57*h**2 + 19*h - 4209. Give s(56).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 55586.295 to the nearest 10.\nAnswer: 55590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19103.97 - 2772812?\nAnswer: -2791915.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2687, -10508, -23471, -41582, -64847?\n\"Answer: -s**3 - 2565*s**2 - 119*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4048 - -4046. What is the nearest to -0.1 in -1, f, 0.12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 31. Let f = -13.9 - k. Let r = 0.0621 - 2.0621. What is the closest to f in r, 1\/5, 12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.233954024 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*h - 2208 = 3*h, -5*s + 3725 = 4*h. Let f = s - 5859\/8. Calculate the common denominator of (3\/5)\/(32\/10) and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14987 + 28283. Let l = c + -133141\/10. Let h = -18 - l. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*h**3 - 511*h**3 + 136*h**3 - 10243*h**2 + 10243*h**2.\nAnswer: -524*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 + 16*d - 3. Let z(u) = u**3 - 4*u**2 - 17*u + 2. Let c(q) = 6*j(q) + 5*z(q). Let x be c(11). Is -10*4\/x*17 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-3)*(-8 - 190\/(-20)). Let h(c) = -2*c**3 - 23*c**2 + 4. Let z(v) = -5*v**3 - 47*v**2 + 9. Determine j*z(s) + 9*h(s).\nAnswer: 2*s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*r**4 + 265*r**3 - 330*r**2 - 40*r = 0. Calculate r.\nAnswer: -1\/9, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 659774149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 292248 and 2187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101220 (base 3) in base 8?\nAnswer: -16640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0976 - -0.0296. Is u not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 24. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -368, -740, -1112, -1484?\n\"Answer: -372*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b + 40*b - b**3 + 17*b - 10*b**2 + 28. Let d be f(-13). Suppose -206 = -a - 41. What is the highest common factor of d and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*j - 252. Let x be (-1)\/(-4) + j\/(-4). Calculate the lowest common multiple of (-84)\/(-39) + (-4)\/x and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8520 + 19730. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -251532124?\nAnswer: 251532121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 108. Determine r(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*g**2*m**2 - 28*g**2 + g*m**3 - 37*g*m**2 + 37*g*m - 2*m**2 wrt m.\nAnswer: -24*g**2 + 6*g*m - 74*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.05, 55, -1\/2, 16, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (441\/(-66) - 0)\/1. Let u = -13\/2 - h. Suppose 0 = o - 1, -g + 3*o - 3 - 4 = 0. Put g, -1\/7, u in decreasing order.\nAnswer: u, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 - 5*u**2 - 7*u - 1. Let k be w(5). Let p be (1*82\/(-8))\/(3\/(-24)). Let m = k - p. Calculate the highest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 4015*w**4\/4 - 893*w**2 + 3725. What is the second derivative of b(q) wrt q?\nAnswer: 24090*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o + 10 = 0. Let m be o\/(-4)*(-6)\/3. Let s = m - -3. Solve s = -4*l + 6*k - 2*k, -3*l - 3 = 3*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.16 - 32.16. Let r be 134\/(-28) + 2\/7. Let w = 13\/3 + r. What is the third smallest value in p, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**4 + 602*g*w + 10*g + 155302*w wrt g?\nAnswer: -8*g**3 + 602*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 22*u**2 - 23*u + 18. Let s = 308 - 296. Let k be i(s). Solve -c + 1 = l, 2*c + 0*c - 5*l - k = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrhrurgcurwhr. What is prob of sequence rh?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15540733 from 0.2.\nAnswer: 15540733.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/3 + 2*q**3\/3 - 32*q**2\/3 - 32*q\/3 = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*(-16 + 15). Let u be (0 - s) + (-5 - -28). Solve -u + 8 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2 + 20226*i + 20229 = 0?\nAnswer: -1, 6743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 3*w. Suppose -2*c = -5*q + 26, q - 3*q = 3*c + 1. Suppose -u = 2*u - 12. Let j(b) = -u*b + b + b. Give c*j(n) + 2*r(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 10462251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 200*w + 135. Let g be i(17). Suppose -k = -2*r + 514 + 900, 5*r + 4*k - g = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41559*c + 21 = 41562*c. Let q(l) = 8*l**2 - 12*l - 4. Let p(s) = -3*s**2 + 4*s + 1. Determine c*p(k) + 2*q(k).\nAnswer: -5*k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 - v**3 + v**3 + (1 - 1 - 2*v)*(1 - 1 + 2*v**2) - 4*v + 4*v + v**3 + (-4 + 2 + 4)*(7 - 7 + 2*v**3) to o*v**2 + r*v + a*v**3 + h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -28. Let v(a) = a + 38. Calculate the remainder when v(y) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8799 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/6)\/((-2)\/(-6)). Suppose 7 = -2*q - 3. Let o be (q\/((-50)\/12))\/((-27)\/(-90)). Solve p*y - o = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428 a factor of 734575478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*l**4*s**3 - 4*l**2*s**3 - s**3 + 101*s**2 wrt l?\nAnswer: -24*l**3*s**3 - 8*l*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.9934 + 45. Round i to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4841146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 992089 is divided by 99208.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = t + 5, -32 = -4*d - 3*t. Suppose d*w - 1 + 0 = -3*k, -k = -5*w - 7. Which is the closest to -0.1? (a) -2\/11 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -367, -6576, -43 in descending order.\nAnswer: -43, -367, -6576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1615 - 1916 = -33*j. Let y be 1 - (0 - (-15)\/21). Are y and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020 a factor of 309920602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 895327.5 kilograms?\nAnswer: 895327500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 24222936.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 8}. Give prob of picking 2 v and 1 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 15. Solve f*w - 4*w - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 59*q**2 + 111*q + 513. Determine x(57).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3859626 or 3859655?\nAnswer: 3859655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 - 155\/2. Calculate the common denominator of -4\/5 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 386 (c) 4\/7 (d) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*t**5 - 153*t**5 + 137*t**2 - 239*t**5 wrt t.\nAnswer: -19680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9858271g?\nAnswer: 0.0000009858271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -86*r**2 - 5378*r + 6172908 = 0.\nAnswer: -301, 10254\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 71*l**2 - 19*l - 71. What is the tens digit of r(-37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 12. Suppose c*i = 3*g - 5, 0*g = i - g. Let u(v) = v + 1. Let y(t) = 4*t + 6. Calculate i*u(a) + y(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3849398 to the power of 1\/2, to the nearest integer?\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18878 and 7682?\nAnswer: 72510398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553243 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1741, 1671, 1601?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 283 + -95. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((612\/(-85))\/3)\/(208\/4680).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5945 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 36*j - 32*j + 52*j)*((0*j**3 - j**3 + 3*j**3)*(0 + 2 - 1) - j**3 + 3*j**3 - 3*j**3 + 0*j + 0*j + j**3 - 3*j + 3*j + j**3).\nAnswer: -48*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 194917.281 to the nearest ten.\nAnswer: 194920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 1\/2*t**3 + t**2 + 0 + 0*t = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 20*w**2 - 33*w + 58. Let l be k(-18). Solve 21*z - l = 23*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**6\/5 + l**4 - 5*l. What is the third derivative of c(u) wrt u?\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - (-11 - (-3)\/(-6)). What is b in 9*b**4 + 0 + 18*b**2 - 39\/2*b**3 - 6*b - k*b**5 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*o - o + 1 in the form k + z*o and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -7\/6*k**3 + 2\/3*k**4 - 5\/3*k**2 + 1\/6*k**5 + 0*k + 0 = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*a**2 + 95*a**2 - 49*a**2 - 33*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l + 4. Let m be j(-3). Solve -5*h + m = -7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 436*g*l**3*p**3 - 3*g*p**2 - 2*l**3*p + 14*l*p**2 wrt p?\nAnswer: 2616*g*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14555*h - 105. Let l be a(11). Round l to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.074 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 140.\nAnswer: -33\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 942.6449 years in months?\nAnswer: 11311.7388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-12) - (-110)\/(-60))\/(-2). Let w be ((-366)\/(-9) + 1)\/(c\/(-1536)). What is w rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 12. Suppose 2295 = g + 5*c - 5335, 0 = v*g + c - 22960. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153) + sqrt(153))*-6 - -5*sqrt(153)*2)\/(3*sqrt(108)\/(-1*sqrt(12))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/9, -64, -0.029, 3 in descending order.\nAnswer: 3, -0.029, -25\/9, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7604*v**4 - 2009*v + 40102981?\nAnswer: -30416*v**3 - 2009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*l**6 + 51*l**3 - 223641*l**2 wrt l?\nAnswer: 4320*l**3 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 60\/5557129 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 12) in base 2?\nAnswer: -110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*80 + 6\/(-2). Let n = -1139\/7 - f. Factor 0*s + 2\/7 - n*s**2.\nAnswer: -2*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 + 3*u + 2. Let x(p) = 9*p + 2*p - 242*p**2 + 8 + 25*p**2 + 209*p**2. Give -9*g(q) + 2*x(q).\nAnswer: 2*q**2 - 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (9 + 6 + -18)) + -34\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 16, -40, -150, -332, -604, -984, -1490?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/sqrt(216) + -3 + sqrt(76))**2 + 5.\nAnswer: -13*sqrt(19) + 3715\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3087*q - 1707103. Calculate c(-553).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 170, 655, 1456, 2567, 3982?\n\"Answer: -b**3 + 164*b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 58 = 74. Find the common denominator of 7\/4 and 3 - (-162)\/l - 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 49268*x - 443411. Give t(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 175905631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 + 4 + 4*q + 11 - 15. Let d be z(0). Let c be 33000001\/(-3) + d\/6*2. What is c rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 6\/739313, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 4121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = -0*s, 4*s - 35 = -5*q. Is (-2)\/1 + 1 + q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/12*6\/(-4). Let g(l) = 5*l**r - 3 + 3. Let k(q) = -2*q. What is k(g(d))?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - (51 - 40)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (126 - 1)*5\/5. What is the common denominator of 22\/(-187) + 81\/(-34) and m\/20 + 4\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**2 + 5*s**3 - 31 - 2533*s - 23 + 54 - 20*s**3 wrt s.\nAnswer: -90*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 0, -b = -5*h - 3*b + 24. Let l(t) = t + 1. Let o be l(-4). Let y be (8\/o)\/((-2)\/3). Solve 0 = a + h*r, 5*r - 9 = y*a + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 - (-29 + 20 - (6 - 8) - 6).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = -25*g - 10*h + 3, -g = -5*h - 351 + 346 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = -66 + 226 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 5*i**2 - 2*i - 1. Let y be r(-4). Suppose -6*h = y - 365. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/210 - 622*p**4\/21 + 1547536*p**3\/21 - 2953*p**2. Solve y(q) = 0 for q.\nAnswer: 1244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67.138 + 67. Round q to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11173498 a multiple of 915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g**15))\/g*g*g*g*g**(-2\/37)*g*g\/(g\/(g\/((g**(4\/9)*g)\/g)*g))*(g*g**(-2\/53))\/g)**(-44) assuming g is positive.\nAnswer: g**(7405420\/17649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 109412 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 74*v**2 - 132*v**2 + 111*v**2. Let h(r) = 2*r. Calculate h(j(t)).\nAnswer: 106*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26321 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39 + 33 - 327)*(-3*s + 6*s - s)*(0 - 3 + 1) to the form u*s + j and give u.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*t - 26 = 0, 0 = -2*z - 3*t - 730 + 738 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 531*w = -503*w - 104, 3*w - 6 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55386?\nAnswer: 2, 3, 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 30840012 = 7*o - 3*m, 12 = -3*m. Round o to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364656 is divided by 350?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c*n**3*o**3 - 8727*c*o**3 - 4*n**3*o**2 + n**3 - 4*n**2*o**3 + 789*n**2*o with respect to c.\nAnswer: 4*n**3*o**3 - 8727*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 - (-133)\/4)\/((-36)\/(-24)) and -56\/141?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 6*y + 2. Let o be x(6). Let k(h) = 489*h + h**3 - 12 - o + h**2 - 490*h. Calculate k(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14.08 - -17.9. Let z = u + 29.98. What is z rounded to 0 decimal places?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -2\/11 (c) 1\/11 (d) -5 (e) 5 (f) -243454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ydmdmmmdmy?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4020668243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546275 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*(-30)\/10. Let u be (-1147)\/(-93) + -11 + (-2)\/(-12)*-2. What is the closest to u in z, 0.06, 5\/6, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 7*t**4\/6 - 2*t - 38. Let g(s) = 4*s**2. Calculate g(z(b)).\nAnswer: 784*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 - -7735?\nAnswer: 7775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -787 = -8*v + 549. What is the remainder when v is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*l - 60. What is the remainder when l is divided by (-2 - 0) + 30 + -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 7. Let b be 24\/a*(-16)\/6. Solve -b*o + 4 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 7*p**2 + 7*p - 3. Is 13 a factor of o(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1581658 and 87\/12896596.\nAnswer: 167655748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -12\/2795 (c) -4 (d) 0.4 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -130.61 + 130. What is k rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 4, c: 3}. What is prob of picking 1 f, 1 c, and 1 u?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 60. Suppose m*n - n + 30 = 2*b, -b + 5*n + 33 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(0 + (1*sqrt(17) - sqrt(17)) - (((sqrt(204) + -1*sqrt(204))\/sqrt(12))**2 + sqrt(17))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34\/3 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 0. Let q = 9 + -4. Let y be (-7)\/14*-5*(-10)\/125*-5. Sort a, q, y in ascending order.\nAnswer: a, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -362, -814, -1458, -2300, -3346?\nAnswer: -4602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8848655 and 49079.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3698 and 46827?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**3 + 4*u**2 - 86*u + 166. Determine w(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r - 8*r = 0. Solve -a - 1 + 4 = r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 11. Suppose -5*i = 4*x + 484, -i - 4*x - 116 = -f*x. Is (-91860)\/i + 4\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 332 = y - 4*y, -4*c - 20 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 98 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24066\/(-14707) + (1 - 7)\/((-165)\/2300).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*a**4 - 42*a**3*h + a**2*h + a**2 - 6*a*h - 262*a + 10*h wrt a?\nAnswer: -1212*a**2 - 252*a*h + 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeaaaaaaaa. What is prob of sequence aaae?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53.906 - -0.094. Let y = -54.4 + s. Which is the closest to 22? (a) y (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -22*d + 98. Let u be a(5). Let r be (u\/(-14))\/((-12)\/(-42)). Solve 0 = 2*h - q - 11, r*q + 18 = -h + 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) + 4*sqrt(576)*-2 + sqrt(576))*-3)\/(sqrt(72)\/(sqrt(54) - sqrt(54)*-2)).\nAnswer: 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*9)\/3 + 140\/36. Put u, 4, 5, 0 in increasing order.\nAnswer: 0, u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (17 - 6 - 51)) + 1 + 6 + -5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 5) to base 13.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13089?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*w**2 - 4 + 744920*w + 4 - 744920*w.\nAnswer: -43*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -101100?\nAnswer: 101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l - 12 = 10*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 280, 471, 662, 853, 1044?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -226*f**2*o**3*s**2 + 2*f**2*o*s - 13*f**2 - 2*f*o**3*s**3 + 3*f*o**2*s**3 - 3*f*o*s**3 wrt o?\nAnswer: -1356*f**2*s**2 - 12*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-41)*f*f**20)\/((f*f\/((f*f**(-8)*f*f)\/f))\/(f*f\/f**(2\/23)*f)))**(-30) assuming f is positive.\nAnswer: f**(16620\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*t - 9 = 0, -l - 937*t + 14 = -942*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234 + -132. What are the prime factors of q?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55225 + 100?\nAnswer: 55325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10281987 and 1076?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 t when three letters picked without replacement from {k: 6, t: 4, o: 3, s: 4}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 234020.99 rounded to the nearest 100?\nAnswer: 234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5595819223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53409786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 86738484 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1419*m - 73 - 1421*m + 4.\nAnswer: -2*m - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxkoxkkk. Give prob of picking 1 x and 1 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from aakaffaqqofa.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 2. Calculate the smallest common multiple of i(4) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 51892956610 + 51892956610.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -57*k**2 + 739*k - 33. Determine u(13).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-5))\/((-4)\/(-10)). Suppose 2*d - y = -0*d + 3, -v*y = 4*d - 26. Suppose o - d*o = -183000. Round o to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5520.92 - 5521. Which is the third smallest value? (a) -1 (b) -4 (c) -3 (d) 0 (e) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 2*c - 15*c + 11*c + 2*c**2 + 2*c.\nAnswer: -2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3968)\/1792)\/(13\/(-364))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 9*r - 9. Let k be c(-7). Let t(b) = b**3 - 5*b**2 + 2*b - 2. Is t(k) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1326 = -8*n - 5*n. What is the remainder when n is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4660 (b) -1\/2 (c) -1\/8 (d) -61\/7 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 5*n**2 + 5*n + 3. Let y be k(-3). Let s be (-322)\/y + (-4)\/12. Let f = -70 + s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.97 + 23.5. Let y = w + -1.529885. Round y to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/17 - 141400\/(-238). Suppose -k + 2*b + 305 = 0, 2*k = -0*k - 4*b + r. 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 (702488\/40 - -7) + -4*4\/(-20)?\nAnswer: 2, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 920*t**3 + 63480*t**2 - 1946720*t + 22387280.\nAnswer: 5*(t - 46)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1710 and -131\/2660?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/15, 5, -1\/1236, -8\/3, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/6 + 27*b\/2 - 42 = 0.\nAnswer: -84, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {x: 3, f: 3, m: 6, p: 2, t: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26344.66l in millilitres?\nAnswer: 26344660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 3, f: 2, s: 1, g: 6}. What is prob of picking 1 h and 2 g?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -95419757, -190839519, -286259281, -381679043, -477098805?\n\"Answer: -95419762*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 401624, 3, -1, 2, -4, -8.\nAnswer: -8, -4, -1, 2, 3, 401624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 + 126. Factor 24 + 12*t + z*t - 42 - 3*t**2 + t**2.\nAnswer: -2*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4638*t**2 - 3794*t**2 - 21910*t**2 - 5975*t**2 - 32313*t**2.\nAnswer: -68630*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((6\/(-18))\/((-2)\/(-18))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5748541km to micrometers.\nAnswer: 574854100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/9 + 446*x**4\/3 - 24336*x**3 - 1599416*x**2\/9.\nAnswer: -2*x**2*(x - 338)**2*(x + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164.8 - 165. Let v = 0.2 - 3.7. Let z = v + -0.5. What is the second biggest value in k, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41215687 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 22789 = -33886. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 156 = 3*f. Let m be -1*(-2)\/((-8)\/f). Which is smaller: 12 or m?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.46470149 to 3 dps.\nAnswer: 11.465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -63, -110, -177, -270?\n\"Answer: -h**3 - h**2 - 23*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9149, 9427, 9705?\nAnswer: 9983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29b1 (base 12) to base 14.\nAnswer: 1acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 5, s: 3, h: 3}. Give prob of sequence hmh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/5 - 360*g**3 + 512636*g**2\/5 - 9687240*g + 1448188562\/5 = 0. Calculate g.\nAnswer: 71, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*4\/(288\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 364?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6305450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213047 - -8?\nAnswer: -213038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*y = -37, 197*o + 3*y + 17 = 198*o. Solve -11*j + 7*j + o = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3430, 3237, 3044, 2851?\n\"Answer: -193*u + 3623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 2)*(-2)\/(-3). Suppose -12*p + 18*p = 18. Suppose 252 = -3*i + 15*i. Solve -p*j = 4*c, -w*j + 4*c = 1 - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -11, 1, -1 in increasing order.\nAnswer: -11, -8, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 53926.\nAnswer: 2\/26963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and (-147)\/(-28) - (-2)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -28, 0.069, -3, 3, -7, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, -4178, 6, 0, -10 in increasing order.\nAnswer: -4178, -10, -0.1, 0, 0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from ljmllmlmljjjljljl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*q + 2)*(-2*q + 4*q - q + (1 + 3 - 2)*(-2*q - 2*q + 2*q) + 0*q + 0*q + 2*q) as w + t*q + i*q**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 44*p - 297. Is q(-46) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20782 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18252 is divided by 166.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 12*q**2 + 2*q + 4. Determine f(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 20*p + 24. Let t be h(-19). Suppose t*u - 343 = -28. What is the remainder when u is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.7 - -0.47. Let i = a + -2.77. What is the third smallest value in 2\/11, -4, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 326\/23 - 8472\/575. Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.9. Let r = 10.18 + -0.18. Let l = -6 + r. Which is the biggest value? (a) l (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 3 - -9 - (8 + 9 + -30 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**6\/45 - r**5\/10 - 3*r**4\/16 - 19*r**3\/6 - 8*r. Let t(w) be the second derivative of b(w). Find j, given that t(j) = 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-15) + (-54868)\/(-145). What is the highest common divisor of 80 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = -12. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 178*h - 747. Let p be j(18). What is the greatest common factor of 54 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/2 (c) -3\/2 (d) -25 (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40617648 is divided by 327?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -36\/89 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 2)*(-1)\/2. Suppose -5*j + 7 = -v. Is j\/(-5) + (-397)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 1\/7, -28, 1219, 2 in increasing order.\nAnswer: -28, 1\/7, 0.7, 2, 1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 74?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/84 - (-1 + 3)\/(-14). What is the third biggest value in -0.3, r, -0.1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/12*(-1962)\/43164?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:01 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3148 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x - 2*x + 31 - 34 in the form y + o*x and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-9) - (-102)\/(-918))\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10859 - 10777. Solve -34 + f = -8*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 24 = -6*r. Let g be ((-261)\/12)\/(r - 85612\/28520). Let u = 11933 - g. What is the common denominator of u and 13\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m + 54. Let t be r(-27). Solve t = 2*n - 0*a + a - 15, -n = 4*a - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 59 = -157. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -11\/3*f**3 + 16*f**2 + 0 + 1\/6*f**4 + 0*f. What is the tens digit of d(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 24 = 2*s. Suppose -4*d + s = 5*o - 18, -5*d = -20. Let t(l) = 6*l - 1. Is 4 a factor of t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122 + 2224116?\nAnswer: 2224238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(76) + -2 + sqrt(76) - (2 + 4*sqrt(76) + sqrt(76))))**2*1.\nAnswer: 48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 638 and 406.\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(2\/7)*(u**0)**(-2\/69) assuming u is positive.\nAnswer: u**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*t**4 + t**4 + t**2 - 31*t**5 - 46*t**5 - 4*t**4 - 37*t wrt t?\nAnswer: -4620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 0 + sqrt(567) - sqrt(567) - (sqrt(7) + -2*sqrt(1008)).\nAnswer: 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -494, -2, 3, 1, 100, 9 in descending order.\nAnswer: 100, 9, 3, 1, -1, -2, -494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766044 is divided by 255272.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 o when four letters picked without replacement from {n: 2, o: 3, i: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -3 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -589949.\nAnswer: -589949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14945970 divided by -786630\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 2, t: 4, i: 2, g: 1}. What is prob of picking 2 u and 1 t?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 23*v**2 + 2707*v - 32631. Give i(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 217 = -141 - 391 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.011, -4\/9, -1 in descending order.\nAnswer: -0.011, -4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 13 = -2*t - 3*t, 2*t - 2 = 2*b. Let d(p) = -p**2 - 8*p - 8. What are the prime factors of d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 - 304*y**3 - 11280*y**2 + 648128*y - 2393600 = 0 for y.\nAnswer: -50, 4, 34, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k - 3*k + 3*k)*(-2*k + 3*k - 2*k) + 4*k - 4*k + 3*k**2 + 3*k**2 - k**2 + 3*k**2)*(-3*k + 2*k**2 + 3*k).\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 715988*f*z**4 + 12323*f*z**2 + 21*f wrt z?\nAnswer: 17183712*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13581 * -42\nAnswer: 570402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/3 - w**4\/3 - 6*w**3 - 14*w**2\/3 + 17*w\/3 + 5 = 0.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/116 and 3\/68.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 18*o - 59. Calculate m(-7).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46383435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*i + 9901*c**2*i**3 + 2*c*i**3 + 4*i**3 - 365*i wrt c.\nAnswer: -18*c*i + 19802*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*l + 106 = 1870. Solve -l*n - 41 + 59 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*o - 63*o = -5*p + 17, 0 = 3*p + 5*o - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-8))\/n)**(-22) assuming n is positive.\nAnswer: n**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2361183678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*p + 4. Suppose 2*a - 4 = p. Suppose -u + a*i + 123 = 0, -2*i = 2*u - i - 211. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 36*o + 32. Let d be v(19). Let r(q) = -4*q + 47. Let g be r(13). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -27*u**2 - 4*u - 46. Let j be r(-9). Let x = -1125 - j. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869*r = -1740*r - 1859*r - 71488 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 47 = 3*x. What is the remainder when x is divided by ((-1)\/3)\/((-2)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-2 - 2) - 0. Let c(b) = -b**3 - 3*b**2 - b + 4. Let u be c(q). Solve -v + u*r = -0*v + 11, 4*v = r - 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120234 (base 7) in base 16?\nAnswer: 54e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 439 = -101. Calculate the highest common factor of n and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, 2\/25, 32239, -317, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/51 and 61\/50.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -51. Let j(q) be the second derivative of -q**5\/20 + q**4\/2 + 4*q**3\/3 + 5*q**2 + 5*q + 2. Give j(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.75 + 1.4. Let g = 0.6451 - w. Round g to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526294489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/18 and 125\/1086?\nAnswer: 3258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a (base 14) to base 13.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6067.5775 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:59 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqgggqgg. Give prob of picking 2 q.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2167383.\nAnswer: 3, 41, 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4, v - 5*i + 14 = -i. Suppose -v*t = -2*z + 52, -2*t + 10 = -7*t. What is the remainder when 407 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyrvrry. What is prob of picking 1 v and 3 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 12*l - 73. Let v be q(18). Suppose x - 2*o = 88, -4*x + 3*o + v = -297. Calculate the least common multiple of x and 56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - u - 16 = 0, 5*t = -4*u + 4. Suppose -2812 = 4*c - 2*p - 450, 3*c - t*p = -1769. Let m = c - -1112. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 56*f = 38*f + 23*f - 17, -x = f - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(6\/20)\/(6\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 18.2\nAnswer: 5.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4437.5 to the nearest ten.\nAnswer: -4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*z - 164*z + 11 - 2)*(191*z + 992 - 992).\nAnswer: 191*z**2 + 1719*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a403 (base 15) to base 7.\nAnswer: -203013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 14807 = 9*o - 3*o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + 30 + 37 + -55?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -21.5. Let u = l - -30.5. What is u rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.2697 + 2.9408. Let o = n - 0.0505. What is o rounded to one decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9240066 divided by 12174\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221342?\nAnswer: 2, 11, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -366?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*n + 13*n - 160 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 18*v**3 - 3*v**2 + 3*v. Let g be r(1). Let w(f) = -f - 5 - 15*f**2 + 36*f**2 - g*f**2. Let q(i) = 4*i**2 - 2*i - 6. Give 2*q(l) - 3*w(l).\nAnswer: -l**2 - l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**1))\/a)**(-11\/2))**(-2\/29) assuming a is positive.\nAnswer: a**(-22\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 3*v + 11*v)*(2*v - v - 3*v)*(6 - 24 - 6).\nAnswer: 432*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -6*z**5\/5 - 243*z**4\/5 - 1947*z**3\/5 + 9057*z**2\/5 - 9711*z\/5 + 570 = 0.\nAnswer: -25, -19, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010000000111001001111101 - -101?\nAnswer: -111010000000111001001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t**2 + 4*t - 6. Let b = 9 + -5. What is the remainder when x(b) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 3\/296, -2, -4\/9, -0.1 in descending order.\nAnswer: 0.4, 3\/296, -0.1, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*-1*1\/(-3). Let w be q*(-1 - (-4)\/8). Suppose 4*o + o - 40 = w. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*b - 3*b - 9, -5*b - 3*y + 28 = 0. Let l(p) = -b*p**2 + 4*p**2 - 5 + 5. Let u(d) = -4*d + 0*d - 2*d. Calculate l(u(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a**4 + 21*a**2 - 3*a. Let i(p) = 13*p**4 - 22*p**2 + 2*p. Let z(r) = 3*i(r) + 2*k(r). What is the third derivative of z(w) wrt w?\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2346878371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**3 - 154*r**2 - 2886*r + 3050. Let x(z) be the second derivative of -z**2 - 2*z - 2. Let d(t) = p(t) + 4*x(t). Factor d(g).\nAnswer: -2*(g - 1)*(g + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -6. Let a = -28 + i. Let l = -21.011 - a. Round l to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*h - h + 52 = 0, -3*n + 4*h + 39 = 0. Suppose -4*z = -3 - 1. Let w be z + 0*(-1)\/1. Solve -2*s + 2*v = 6, w = 4*s - 3*v + n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 + -892\/9. Suppose 20 - 24 = -4*l. Put -1, n, l in descending order.\nAnswer: l, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9696.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*k = -33, -5*k + 31 + 64 = 5*n. What is the least common multiple of n and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1700, -1261, -836, -431, -52, 295, 604, 869?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 26. Let k(s) = 1. Give -4*k(d) + v(d).\nAnswer: -2*d - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Determine c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 5. Let l be p(14). Let n be (-8)\/36 + (-227)\/l. Suppose -5*i = 2*a + n - 71, 4 = -i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 3. Solve 5*c - 4*b - 17 = 0, -b = -3*c + q + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 + 1 = 0. Let w be a\/1 + (-51)\/(-24). Sort -0.3, -5, w in descending order.\nAnswer: w, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106337292 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*5\/(-1)*(-27)\/(-135).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*c**2 - 44*c**2 + 3*c**3 + 0 + 1 + 33*c**2 to z + v*c + u*c**3 + p*c**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*v - 44 = 0, g + 154974*v - 154973*v + 22 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 164472983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:28 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 + 2*f - 7. Calculate the remainder when o(-5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t - 59*t = 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(2 + j - 2) - j - 10*j + j - 6*j - 6*j + j to the form o*j + h and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 10*z = 0. Suppose z = -10*g + 12*g - 134. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23876098.\nAnswer: 2, 11938049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1375 and 22\/1125.\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1573 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v - 188 = 21 - 1382 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37046 is divided by 18497.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 minus 602460234?\nAnswer: -602460227.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(11) + 1 + 5.\nAnswer: sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 11:38 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-2 - (-24 + 4))) + (-15 - 5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4064 (base 8) in base 5?\nAnswer: 31400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 - 51*b**2 + 15*b + 17. Give n(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.5 (b) 16656 (c) -0.686 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w**2. Let f(v) = 12*v**2. Let r(o) = 6*f(o) - 4*k(o). Let h(j) = -2*j**2. Give h(r(t)).\nAnswer: -1152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 9*g + 4615. Suppose 5*n + 10 = g. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(180) - (sqrt(180) + 1)) + -1 + -1)**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 751*s - 261*s - 317*s to k + i*s and give i.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(1\/(-18)*2). Solve -i*q + 18 = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -989*w + 16. Let d be l(-2). What is the tens digit of -1*d\/(-6) + 80\/(-240)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 2*z. Let a be f(1). Let t = 1 - a. Solve -t*c - 1 = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 3*j - 3*y, -2*j + 3*y = 3*j + 55. Let a(x) = -x**3 - 7*x**2 + 7*x - 9. Give a(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 198?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -130, -2, 15, 1\/6, 1 in ascending order.\nAnswer: -130, -2, 1\/6, 1, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4430*r**2 + 389841*r - 98. Calculate f(88).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1349832 or -1349833?\nAnswer: -1349832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271*m**6 - 3*m**5 + m**2 - 56*m + 77.\nAnswer: -32520*m**3 - 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*s - 7 + 18, -8 = -l - 3*s. Which is the second smallest value? (a) -7 (b) l (c) -1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-567)\/(-945))\/(1 - 4)*-35.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + 4*(sqrt(448) + 2)*-5)*-1)**2.\nAnswer: 12480*sqrt(7) + 180721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -295764 not equal to -1478824\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -549, -829, -1111, -1395?\nAnswer: -1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -36 - (3 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -512*n + 44. Give w(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v + 19. Is w(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -194\/117 + 5021\/1170. Suppose 2*s = 3*s - 4*o + 104, 3*s - 5*o + 347 = 0. What is the common denominator of d and 0 - (2*s\/264 - -3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 513 times 0.031\nAnswer: 15.903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**3 + 5*m**2 + 9*m - 24. Let j be w(-5). Solve 0 = 1052*t - j*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-140)*12)\/(-14 - 360\/(-25)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2777 - 2773. Solve 31*p = -w + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 12 = -8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 18 - (10 + -13)) + 21 - -8.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 7*j**2 - 2*j**2 + (-3*j - 2*j + 3*j)*(0*j - j - j) + (-2*j + 6*j + 5*j)*(-j + 2*j + 0*j) - 2 - 2*j**2 + 2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -459558\nAnswer: 20\/76593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*h**2 + 12*h**2 - 4*h - 7*h**2 + (-4*h + 4*h + 2*h)*(-5*h + 0*h + 3*h) - 2*h**2 - 5*h**2 + 4*h**2.\nAnswer: -13*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxzx when four letters picked without replacement from xxuzzzx?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 1.7. Let p = -74.6 - -74.3. What is the closest to 0.4 in z, -4, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1927 (base 13) to base 11\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-4)\/14*(-28)\/(-504)*-9?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44434 (base 10) in base 12?\nAnswer: 2186a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 198\/(-1485) - 814\/(-30). What is the highest common divisor of h and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0 - 1\/2*b**3 + b**2 - 3*b. Give c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose -2*y + 3 = -b*p - 0, 4*y - 2*p = 2. Suppose -m - 2 = 3, -5*m - 22 = -3*k. Are y and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 54 = 26. Suppose -g = -3*a - 2*a. Let z(o) = -3*o**3 - 2*o**2 - 2*o + 2. Calculate the least common multiple of z(-2) and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 25. Sort 0, 1, k.\nAnswer: 0, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 24. Let a be c(-24). Suppose a*j + 540 = 10*j. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 = 5*c - 4645. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)\/((r**(-4)\/r)\/r)*(r*r**0*r)**(1\/5))\/((r*(r\/((r\/(r\/(r\/(r**0*r*r))))\/r)*r)\/r)**(-43))**(-3\/7) assuming r is positive.\nAnswer: r**(-4747\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2206 and -41\/8976.\nAnswer: 9900528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**4 + 168*n**3 + 1760*n**2 - 168*n - 1764 = 0.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -5*m**4\/24 - 73*m**3\/6 + 35*m**2 + 24. Let y(n) = -n. What is y(a(h))?\nAnswer: 5*h + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*m - 10. Let d = m + 12. What is the least common multiple of d and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, -35808, 13.46?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1083463*38.\nAnswer: -41171594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*b**4 - 6*b**4 - 9*b**4 + (b + 2*b**4 - b)*(7 - 3 + 0) as x*b**2 + c*b**4 + a + t*b**3 + g*b and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1044)\/696*16\/(-180)*-1.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 285*w**2 - 13678*w - 102. Give z(48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) 2\/5 (b) 0.5 (c) 3206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2. Let n(p) = 2*p - 104430. Give n(k(m)).\nAnswer: -10*m**2 - 104430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/407 and -73\/370?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 324260180 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69255 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.36\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 2.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 33 = -5*n, -f + 5*n = -4*f - 49. Let x = f - -21. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/10 and 39\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/((-16)\/12) + (-73360)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*i - 4*i + 232, 2*i = 3*z + 171. Which is smaller: -57 or z?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyyy when four letters picked without replacement from {y: 4, z: 4, l: 6, j: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - j + j)*(-2*j + 4*j + 0*j) - 5*j**2 + 116*j**2 + 49*j**2 to o*j + p*j**2 + w and give p.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 44*o + 26. Let a be p(-5). Let r = a + 504. What are the prime factors of r?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*l = 0, 5*j - j = l. Suppose 2*m - 3*u - 13 = j, u = m + 2*u + 1. Suppose 14 = m*d - 16. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638300.\nAnswer: 2, 5, 7, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 52\/42*-3 - 2\/7. Suppose c + 25 = 26. Sort -1, c, f in decreasing order.\nAnswer: c, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:26 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 17 (b) 611 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*z + 12 = -2487*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 2}. What is prob of sequence pp?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*y**5 + 100*y**4 - 88*y**3 - 80*y**2 + 104*y - 20 = 0. Calculate y.\nAnswer: -1, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 11) to base 6.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011111010101011101 (base 2) in base 14?\nAnswer: a2445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.127101*-212.\nAnswer: 26.945412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - q - 4. Let v(o) = o**2 - o - 5. Calculate 4*g(k) - 3*v(k).\nAnswer: 5*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5397854 + 830322.32?\nAnswer: 830322.8597854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 + -226. Solve -k = 5*c + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2. Let v(w) be the third derivative of -w**6\/120 + w**5\/15 + w**3\/3 - 8*w**2 - 22*w. Determine -6*u(t) + v(t).\nAnswer: -t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.4 - 8.9. Let u = o + 2.5. Let k = -8 - -8.3. What is the closest to u in k, 1, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-10))\/(3\/(-15)). Suppose 0 = -5*j - r + 489, -4*r = -8*j + m*j + 494. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290\/3 + -93. Which is smaller: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8104222 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565700 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:40 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 20*l**2 - 20*l - 35. What is g(21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:14 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**4\/12 + i**3\/6 + 11*i. Factor t(o).\nAnswer: -o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2575455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 812*c - 9950 = -20107 - 11767 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.72 - 9.82. Which is the nearest to n? (a) -1\/9 (b) -6 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*h + 9*h - 870 - 2477 - 2816*h**2 - 723 wrt h.\nAnswer: -5632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 27. What are the prime factors of 200\/6 + k\/(-3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**7\/3360 - i**6\/720 + i**5\/480 + i**3\/2 + i**2. Let d(t) be the first derivative of w(t). Factor d(p).\nAnswer: p*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59676.52 decades?\nAnswer: 7161182.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14416909 - -14426224.057. Let y = 9319 - h. Let x = y + 0.057. What is the nearest to 3 in 4\/3, x, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 119.74 and 12477171.1.\nAnswer: 12477290.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*a - 172*a - 185*a + 925*a - 187*a - 187*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/4 - 4*s**3\/3 - 1. Let k(b) = -2*b. Let f be k(2). Let v be g(f). Let d(j) = -j**3 + j**2 + 6. What is d(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2243*z - 1010*z - 2667*z - 4338*z to the form w + l*z and give l.\nAnswer: -10258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 7*m**2 - 11*m + 25. Give f(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1418, 2829, 4240, 5651?\n\"Answer: 1411*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7548, 7495, 7412, 7287, 7108, 6863, 6540?\nAnswer: 6127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2748.916 millilitres?\nAnswer: 2.748916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 5*x + 36, 8*x - 9*x = 4*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -499*w. Let a(j) = -393533*j - 2. Determine p(a(m)).\nAnswer: 196372967*m + 998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*u + 1211*u**2 - 21*u.\nAnswer: 1211*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/4 - 4*i**3 - 24*i**2 - 64*i + 8. Find s such that w(s) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x + 7 - 11 + 8. What are the prime factors of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1549566 by 5554.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - n - 1. Let g be a(4). Suppose -15 = 5*w, 3*i + 0*w - 5*w + 15 = 0. Is 10 a factor of (-8)\/i*(16\/4 - g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2384 and 28757.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, 446, -5 in descending order.\nAnswer: 446, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**6\/p*p)\/p*p**(-2\/5))\/(p**(-1\/6))**27)**(3\/19) assuming p is positive.\nAnswer: p**(273\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8638 = -4*n, -3*n + 4*n - 1733 = -m. What are the prime factors of m?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 155.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r. Let s(c) = 5*c**2 - 9. Let h(v) = -s(v) + 6*x(v). Let n be (-4)\/10 + (-33)\/5. Give h(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633048202.\nAnswer: 2, 316524101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 2. Let i be u(-1). Suppose -86422 + 250422 = i*x. What is x rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/2891 (b) 0.5 (c) 0.1 (d) 2.8 (e) -38\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*g = -9*q + 28, 2*q = -4*g + 14. Let i = -2 + q. Suppose i*n = 7 + 32. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/504 and 73\/31479?\nAnswer: 755496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*k - 62 + 818 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = -15*t + 97305. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-420102)\/806 + 4\/26. Let g = v - -521. Let i be (2\/(-4))\/(2\/4). Which is smaller: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 25628520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -2 in descending order.\nAnswer: 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, 5, -0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3251802, -3251800, -3251798?\nAnswer: -3251796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/23? (a) 18 (b) 0 (c) -3 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10\/71 + 112\/213. Let y(q) be the second derivative of 0 - i*q**3 + q**2 + 1\/20*q**5 - q - 1\/6*q**4. Calculate y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -16*v + 7*v + 7 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 10 = 4*a - 5*m, m = -4*a + 21. Suppose -24 = -5*o + 2*u, a*o - 3*u - 3 = 18. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 12572179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 0*y**2 + 0 - 2\/7*y**4 + 0*y + 6*y**3 = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53632, 107394, 161156, 214918?\nAnswer: 268680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**4\/8 - r**2. Let d(p) = -3*p**2 + 2*p. Let n(y) = 5*y - y - 3*y. Let s(o) = d(o) - 2*n(o). Give u(s(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331.58 - -331.5. What is the closest to p in 0, -3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 5*p**2 - p + 1. Let w(n) = -15555*n - n**3 - 4*n**2 + n**2 + 15554*n. What is 3*i(k) - 5*w(k)?\nAnswer: -4*k**3 + 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 5, t: 2, d: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-1)*r*r\/r**(-2\/11)*r*r\/(r*r**12)*r**(5\/6) assuming r is positive.\nAnswer: r**(-395\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83950 and 32704?\nAnswer: 18804800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 500, 797, 1090, 1379, 1664, 1945, 2222?\n\"Answer: -2*i**2 + 303*i + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/2057, 87, -5, 5?\nAnswer: 4\/2057","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {v: 1, m: 4, q: 3, j: 4, i: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 219 - 90)*(-5 + p + 2 + 4)*(7 + 2 - 4).\nAnswer: 90*p + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42349, 42339, 42329?\n\"Answer: -10*b + 42359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 41 = -5*i, 7*g + 5*i + 40 = 2*g. Let h = -1 - g. What is the smallest common multiple of h and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6191487*u - 6191404*u - 6273 + 214 = 0 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -0.85?\nAnswer: 5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 0*l)*(-22 - 2 - 49 - 64).\nAnswer: 137*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 29*b**2 - 5*b - 3443. Let y(l) = 18*l**2 - 3*l - 2295. Give -5*j(q) + 8*y(q).\nAnswer: -q**2 + q - 1145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 72 = 4*q, 0 = -4*k - 0*k - q + 96. Let p = -6 + k. Suppose -2*a = -4*a + p. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*y = 125*y - 576. Let a(b) = -5*b**3 + 6*b**2 + 22*b - 2. Let w(k) = -k**3 + k - 1. Let c(x) = a(x) - 4*w(x). What is the tens digit of c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 8123*k - k**2 + 8123*k - k**2. Determine a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1742*u**5 + 4*u**4 + 4*u**2 - 15*u - 35. Let t(g) = g**4 + g**2 + 10. Let o(c) = s(c) - 4*t(c). What is the second derivative of o(d) wrt d?\nAnswer: 34840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 3*g**2 - 3*g - 5. Let j be q(-2). Let w be (j - (-2 + 0)) + (-30)\/(-24). What is the closest to w in -5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 7) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 156256864 and 183.\nAnswer: 156257047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 8*w**4 + 10*w**3 + 4*w**2.\nAnswer: 2*w**2*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -80222.1 less than -0.0157?\nAnswer: 80222.0843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 3*h + 3 = 0, -4*z - 5 = -5*h. Let q = -1 + 1. Let u be q\/(-2) - 6\/(-8). Is u > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 3*v**2 + 3*v - 3. Let p be d(2). Let o be 13 + (-7 - 6\/(-2)). Let u(x) = o - 10*x - 10*x - 18*x + 36*x. Give u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203369 < 3203396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -146473 (base 9) to base 11\nAnswer: -61730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -720*s. Let f(x) = -400*x + 1. What is f(a(b))?\nAnswer: 288000*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2 + 4.6. Put 0.1, 1\/6, 1, x in ascending order.\nAnswer: 0.1, 1\/6, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.700461 years?\nAnswer: 0.09700461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1649, -1234, -819, -404, 11, 426?\n\"Answer: 415*j - 2064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/10 + 2990\/(-325) + (-2310)\/(-285)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1029)\/196*120\/(-35)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87821586 to the power of 1\/2, to the nearest integer?\nAnswer: 9371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -8, -0.4, -1\/4, -2\/21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 3*m + 0*m + 2*m. Let q be p(6). Suppose 2*o - q - 4 = 0. Solve 3*v = -2*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)*y)\/y)**(-28)\/(y*y\/(y\/(y**8\/y)*y*y)*(y*y**8*y)\/y) assuming y is positive.\nAnswer: y**125","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - -2.8. Let s = p + 11.8. Let d = -15.3 + s. What is the biggest value in d, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -3. Let v = 5.4 + -5. Let b be (-2 - (-13)\/8) + 0. What is the second biggest value in v, b, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3387845028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(325) + (3*(-2 + sqrt(325)) - sqrt(325)))*-3 - -4*(sqrt(325) - -4*-1*sqrt(325))))**2.\nAnswer: -94500*sqrt(13) + 3591225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12300500 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 356 - 664. Suppose 0 = u + 2*u + y. Let i = -115 - u. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-32)*1*24\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g + 13 = 3*a, -5 = -5*a - 5*g. Let c be (a\/(-5))\/((-2)\/40). Let j = 30 - c. Solve -7 = 5*i + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + w - w + (0 + 2 - 1)*(4*w + 6*w - 6*w) + 1 - w - 1 + (-8 - 6 + 3)*(2*w - 11*w - 7*w) + 0*w + 5*w - 4*w.\nAnswer: 178*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 8, k: 2, x: 3}. What is prob of sequence xkk?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*p - 15 - 3 = 0, -5*p - 29 = -2*l. Suppose 13 = -4*u - l*n + 59, 3*n + 11 = 2*u. Let c(r) = -u - r + 10. Let k(d) = 2*d**2. Determine k(c(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11 + 11*i + 0*i**2 - i**2 + 12*i. Is s(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462145?\nAnswer: 5, 17, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12579339727*a + 12579339727*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {f: 2, n: 7, a: 2}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(56)*-2)\/(6*sqrt(8)*2 + sqrt(8)) + -2.\nAnswer: -2 + 10*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1359*d**3 - 59 + 59 - d**2 + 115*d**3.\nAnswer: 1474*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -15) + (31 - 42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 524 - 492. Calculate the remainder when 79 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550 divided by 5?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*p + 152*p - 63*p + 179*p.\nAnswer: 376*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -215 - -216. Is ((-5466)\/48)\/(r\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6152, -6151, -6150, -6149, -6148?\nAnswer: -6147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 5*x + x + 70 + 13*x**2 - 2*x - 46*x**2 in the form h*x + a + s*x**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 2*c. Let i(t) = t**3 + 2*t**2 - 38*t + 14. Let q be i(5). Let o be ((-416)\/312)\/(1 - q\/(-3)). Determine r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 0*n**3 - 3*n**3 + n - n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -22 - (516 - 493).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384152918.\nAnswer: 2, 192076459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.4 + -3. Let u be (-1 + 1)*16\/32*2. What is the closest to u in f, -0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.446 - -3.4. Let n = h - -0.04694. Round n to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -309*q + 164. List the prime factors of x(-12).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1824)\/(-380))\/((-6)\/(-20)). Solve 3*z - r = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/10963211 or 0?\nAnswer: 5\/10963211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*s - 18*s = -25*s + 229*s + 7980 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1152) - (sqrt(1152) + ((sqrt(1152) + -1)*4 - sqrt(1152))) - sqrt(1152)) + -5)**2 + -2*(-5*-2*sqrt(1152) + -4)**2.\nAnswer: -18048*sqrt(2) + 433481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = 66*a + 590 - 246 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 less than or equal to -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 2 + (3 - -1). Suppose 5*a = 2*y - s*y + 62, 4*y = a - 8. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -128.1.\nAnswer: -128.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 17 = 43. What is the least common multiple of n and 978?\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-516)\/36 - -14 - 77520002\/(-6). Round k to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 5*v - v, 5*b + 25 = 0. Suppose -d = -5*d + 4. Is d bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 25*m**3 + 24*m**3 + 0.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4156e (base 15) to base 14.\nAnswer: -55692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6028 and 26884?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.024 + 63.506. Let m = -174 + 92. Let k = m + x. Round k to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49)\/(4*sqrt(7)) - (sqrt(567) + 3 + sqrt(567) + sqrt(567))) + -4 + sqrt(28) + -5 + (sqrt(56)\/sqrt(4))\/sqrt(2))**2.\nAnswer: 570*sqrt(7) + 65479\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202547 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2375 and 931?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -b - 23, 2*t + 2*b + 34 = 5*t. Let n(l) = l**2 - 12*l + 11. What is the smallest common multiple of n(t) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -5. Suppose 0 = 5*d + 5, a*k + 5*d + 0*d = 10. Suppose 3*q + q - k*y = -23200025, -17399995 = 3*q + y. Round q to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:21 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l + 3179338 + 5767831 = 24*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4 + (2 - 3). Let f be 540\/55 + 2\/11. Suppose -2*w - 51 = -3*u + f, 5*u = x*w + 99. Solve -3 = 4*i - u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 69213975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-14)\/(-120)))\/(((-14100)\/(-150))\/94)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**3*j*y**3 + d**3*y**3 - 156*d**3*y**2 - 2*d**2 + 13*d*y**3 - 1876*j*y**3 - j wrt j?\nAnswer: 2*d**3*y**3 - 1876*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3541428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 - -0.22. Let h = -1.11 - o. Let i = 4\/21 - -10\/21. Which is the second biggest value? (a) i (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3162\/7 + -303139\/672. What is the common denominator of s and -41\/72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 at most 0.2394227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 2, -278 in increasing order.\nAnswer: -278, -1\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -190323 + -0.265.\nAnswer: -190323.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c + 431. Calculate g(-48).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13. Let a = 0.05 + 0.21. Let g = a + 0.04. Sort i, -0.5, g in descending order.\nAnswer: g, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 - -195. Suppose 4*q = 1 - v. Which is the fourth biggest value? (a) 4 (b) 0.3 (c) -0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.6 + -56.3. Let t = y + 1.7. Let p = t - -35. Sort -4, p, 2\/5 in decreasing order.\nAnswer: 2\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-221)\/34 + 5\/2 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 - 151 - 47*u**3)*(-1 - 4 + 4)*(-2*u + 0*u + 4*u).\nAnswer: 94*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-14))\/((-5856)\/1708). Let j(x) be the second derivative of 20*x - 4\/3*x**3 + 2*x**2 + 0 - v*x**4. Calculate j(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*i = -t + 173*i - 36, -5*t = 4*i + 69 + 47 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21381.99990901 + -21382. What is t rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2203*z = 2780*z + 9809 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -15. Suppose 5*g - 2*n + 555 = 0, 2*g = -q*g - 4*n - 585. Let i = g - -184. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v - 12. Let i be h(-2). Solve -3*m + 15 = 0, i*s - m + 3 = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1008*w**5 + 820*w**4 + 237*w**3 + 111*w**2\/4 + w = 0.\nAnswer: -1\/4, -4\/63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, g: 9}. Give prob of picking 1 g and 3 m.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2 + 62. Let x = 9 + f. Does 3 divide (-8)\/(-24) - 44\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 320 = -k + 3*j, -318 = -k + j. Let r = k + -176. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*0\/5*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -449*x - 393*x + 34*x + 0*x - 5*x + 3*x + (0 + 1 + 1)*(2 - 2 + 2*x) - 2 + 2 - 2*x + (-2*x + 5*x - 5*x)*(-1 - 3 + 5) - x + 1 - 1.\nAnswer: -811*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.2 + 8.2. Let z = -61.1 - m. Which is the nearest to -0.1? (a) 0 (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p + 66. What is g(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 892097 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: Suppose -2*w = -w - 2*u - 10, 3*w + 2*u + 10 = 0. Suppose r + 2*j = 60, w = r - 0*r - 5*j - 25. Let c = r + -42. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-38)\/4)\/((-2)\/8). Let h = t - 30. What is the highest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 9 + (12 - 10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125096.\nAnswer: 2, 19, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -782*o - 1 + 786*o + 0 - 2. Determine a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 8343588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1821129*w**2 + 15*w + 14*w + 3 + 3 + 1821026*w**2.\nAnswer: -103*w**2 + 29*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.2864 litres to millilitres.\nAnswer: 420286.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 22 = -5*h - 0*h, 4*w - 9 = -h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2079, -4151, -6223, -8295, -10367?\n\"Answer: -2072*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, a: 4, l: 3, q: 4}. Give prob of sequence aoo.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 + 3. Let z = -1.4 - v. Let q = -20.133 - -19.633. Which is the biggest value? (a) 3\/8 (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*p - 28*p**2 + 20*p to z + t*p + b*p**2 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 138 = -554. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**2 - 30*b - 11. Let o be p(-4). Let k(h) = 2*h - 2. What is k(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 248 + 240 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8 - 2*l**2 + (-10*l - 8 + 8)*(5*l - 4*l - 2*l) + 3*l - 2*l**2 - 3*l in the form g + q*l**2 + n*l and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 66 + -b68?\nAnswer: -b02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**6\/30 + c**5\/60 + c**2\/2 + 2*c. Let j(q) be the first derivative of x(q). What is the third derivative of j(a) wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2645 is divided by 869.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 81988\/99 (b) 3\/7 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011949451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3434 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 2*t**3 + 3*t**3 + 18 - 2*t**3.\nAnswer: t**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102223214 divided by -14897.\nAnswer: -6862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60316 by 3548.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 15, -3*j - 3*o + 7 = 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.48 + 24.96. What is the closest to -2\/7 in 2, s, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 55, 13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681152555?\nAnswer: 5, 53, 2570387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10*q + 2. Let v(y) = y**2 + 323*y + 3. Calculate s(v(u)).\nAnswer: -10*u**2 - 3230*u - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.203 + -2.753. Let j = 0.55 + g. Let m = -0.7 + 0.3. Which is the nearest to j? (a) -2 (b) m (c) 9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + -6 + (5 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 74022*i + 1258297. What is t(-17)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0718068 to 4 dps.\nAnswer: 0.0718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzuz when four letters picked without replacement from quqzijuzzquuuz.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22483 - -2?\nAnswer: 22485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)\/(n*n**3))**(1\/11) assuming n is positive.\nAnswer: n**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtt. What is prob of sequence xt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 386*p**4 - 252*p**4 - 7*p**2 - 4*p**2 - 158*p**4 to the form q*p**3 + f*p**2 + d*p**4 + t*p + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -884, -819, -754?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let r(a) be the second derivative of -a**3\/2 + 7*a**2\/2 + 2441*a. Determine r(u) + 5*y(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 32. What are the prime factors of (0 + (w - 3))*-15?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 6026?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b + 9. Let c be k(0). Let o = c + -2. Suppose 4*h + r - 8 = 0, 4 + o = -h + 3*r. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10735803 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*b = -13, 5*r - 3*b - 15 = -1. Let z be (r + 1\/(-3))*3. Let n be (1 - -1) + -17 + 10. Sort n, z, -2 in descending order.\nAnswer: z, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*d + 26*d + 19*d)*(2*d - 2*d - 5*d + (-3 - 2 + 3)*(-2*d - 2*d + 3*d)).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 115*n + 1077. Calculate the remainder when 1342 is divided by j(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589*h - 123 - 71 + 194 to the form f*h + l and give f.\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 2\/23899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 - r**2 + 44*r. What is the units digit of w(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose x = -y - 4*y - 20. Is (-10)\/y*(-2 + 8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(125*r**2 - 68*r**2 + 71*r**2) + 0*r**2 - 5*r**2 - 7*r**2.\nAnswer: -140*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 + 83 + 88 + -138?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6311117.\nAnswer: 6311117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5)*(0*h + 0*h - h)*(-3 + h + 3)*(1 + 2 - 1)*(0*h + 309*h + 9*h).\nAnswer: -1908*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 14. Let w = j + 8. Solve -5*g + 34 = w*r + 4, 5 = -5*g + 3*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 24*b + p = 530, 205 = 2*b - p. Suppose -401*n = -394*n - b. Suppose -5*v + 284 + 541 = 0. What is the highest common divisor of v and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 - b + 5. Let s be k(-5). Suppose 4*i + 45 = 9. Let h be 1\/(i\/20 + (-11)\/(-22)). What is the greatest common divisor of s and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**3 + 9*h**2 - 54*h = 0 for h.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z + 15. Find the third derivative of 212*x**3 + 10*x**4 - 8*x**2 - 212*x**z wrt x.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/5 + 9368*k**2\/5 + 18752*k\/5.\nAnswer: -4*k*(k - 2344)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*i + 256411 + 125579. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 9. Let l be f(6). Let r = l - -5. Let a(h) = -2*h. Let w(i) = -i**3 + 7*i. Calculate r*w(y) + 7*a(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 22636?\nAnswer: 248996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*k - 3048510 = -3064134 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i - b + 1, 0 = -5*b + 5. Let o(l) be the third derivative of 0*l - 1\/96*l**4 + 0 + i*l**3 - 1\/240*l**5 - 2*l**2. Factor o(c).\nAnswer: -c*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100518051 - 100518055.20000044. Let z = f - -4.2. What is z rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/28, 1, 2?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7059 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -79c?\nAnswer: 7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*1189\/(-4756).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11271 and 197025036.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 4. Let x be j(-9). Suppose -l = -v + l + 20, -x*v - 3*l + 48 = 0. Let r = 3393 + -3357. What is the highest common divisor of v and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 5:33 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -246091\/50 + 4922. Calculate the common denominator of 83\/315 and h.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56.245 or 17?\nAnswer: 56.245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11220120331 - -12?\nAnswer: 11220121003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*u**3 - 78*u + 149*u - 70*u + u**2 in the form l + a*u + q*u**2 + s*u**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 26*n**2 + 60*n.\nAnswer: 2*n*(n + 3)*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5278.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 21 = -2*x. Let t be 4\/x - 355\/(-7). Suppose 7*d = 4*d + t. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -570, -891, -768, 21, 1698, 4485, 8604, 14277?\n\"Answer: 37*f**3 - 580*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/126*2555\/1825?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -1\/5 (c) 5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10414 (base 5) to base 13\nAnswer: -446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x**3 + 13*x**2 + 2*x + 2. Let f(u) = -8*u**3 + 6*u**2 + u + 1. Let c(t) = 14*t**2 - 115*t + 11. Let k be c(8). Calculate k*f(q) + 6*r(q).\nAnswer: 2*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*r*x**4 + r*x + 19*r wrt x.\nAnswer: 3228*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 + 78*h + 2.\nAnswer: 78*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4. Let y be c(0). Suppose -48 = -y*z + 3*w, z - w - 36 = -2*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-4))\/k*(k\/k**(1\/13))\/k)**(2\/31))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 5:51 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -1\/12 (c) 1139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**4 + 4475*u**3 - 18005*u**2 - 22475*u = 0.\nAnswer: -899, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 24. Which is bigger: 386\/19 or v?\nAnswer: 386\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-306)\/(-1188))\/(132\/8712)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 2 - 32*y + 1.\nAnswer: -32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 5*c + 50 = -21*n + 11*n, 5*c + 30 = 11*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347002?\nAnswer: 2, 173501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 12. Calculate v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by -64954\nAnswer: 43\/32477","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 1. Let c(u) = 10*u + 6. Let b(s) = 4*c(s) + 24*m(s). Let z(t) = t**2 + t. Give b(z(q)).\nAnswer: 16*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66395 rounded to 3 decimal places?\nAnswer: 0.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*z - 0*z. Suppose -6*d + z = -d - 4*c, -c = d - 5. Solve 2*n + 3*b = -11, -3*n + d*b - 11 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.301 + 21346513.1.\nAnswer: 21346513.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 at most as big as 697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -74112\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8735300, -8735355, -8735408, -8735459, -8735508, -8735555?\nAnswer: -8735600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539, 569, 623, 701, 803, 929?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r = -570*r - 618*r + 19363 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/6 - (2 + 0)\/2. Suppose -5*h + 3*w = -w - 340, 204 = d*h - w. What is the remainder when h is divided by 58?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1059153 and 80975?\nAnswer: 26478825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-408)\/(-2)*60\/16. Let s = u - 1495\/2. Let z = -23\/14 + -45\/28. Find the common denominator of z and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 142*f**2 + 507*f + 6246. What is k(138)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/141 (b) -0.1 (c) -4\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 2 - 4*s**2 - 3*s**2 + 4*s**4 + 3*s**3 + 0*s**2 in the form g + o*s + p*s**4 + w*s**3 + j*s**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -195, 2, 6 in descending order.\nAnswer: 6, 2, -9, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*q - 8 + 8)*(0 - 4 - 1) + 76*q + 85*q - 20*q as h*q + d and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -17. Suppose 26 = 3*a - 0*z - 5*z, 5*z + 40 = k*a. Suppose -2*q - 220 = -a*q. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42351*v - 10 = -5*d + 42356*v, -3*v = 9*d - 10*d - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/3 - 33*h**3.\nAnswer: h**3*(h - 99)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174140 and 400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -292.\nAnswer: 233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/9 + (-5)\/((-45)\/(-4)). Let y = -285 + 288. Solve -9 - s = y*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 0 + 2*a - 5\/6*a**3 + 7\/2*a**2 + 0*a**4 - 1\/20*a**5. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -72, 2*l + 1756*n - 94 = 1760*n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3432010931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1))\/(a\/a**(2\/3))*(a\/a**2)\/a**(-3\/8))**33 assuming a is positive.\nAnswer: a**(275\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1449 and 13652685.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 x when four letters picked without replacement from {x: 3, f: 3, p: 5, i: 3, e: 4}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*b - 61*b - 2*g + 2, 4 = g. Solve -b*u + 3*m = -u - 10, -4*m - 11 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 2*w**3\/3 - w**2\/2 + 736*w. Let z(s) = 3*s - 1. Calculate -5*y(c) + 6*z(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-53 - (-19 - -15 - 8) - 3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -14, -7, -2, 1?\n\"Answer: -q**2 + 12*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -7) + 107 + -107 - (0 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3128, 3238, 3346, 3452?\n\"Answer: -i**2 + 113*i + 3016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 4:14 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 527 + -523. Which is the nearest to -2? (a) 5 (b) o (c) -11\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-140))\/(8\/7)*-5.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5636458 divided by 2.\nAnswer: 2818229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1100130434 (base 5) to base 8\nAnswer: 10753505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*4*sqrt(1216) - sqrt(1216).\nAnswer: 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**0*w)**(-19)*w*w*w\/((w**(-2\/5)\/w*w)\/w)*w*w**(-2\/19)*(w**(-1\/5)*w**3)\/(w**1\/w*w)**33 assuming w is positive.\nAnswer: w**(-9586\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14292 and -47\/6.\nAnswer: 14292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -55*k**8\/336 + k**4\/24 + k**3 - 42*k**2. What is the second derivative of u(s) wrt s?\nAnswer: -1100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-391 + 391 + 7*k)*(-9*k + 7*k + 15*k + 3*k - 3*k + k + (0 + 2 - 4)*(2*k + 0 + 0)).\nAnswer: 70*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*s - 68 + 68 - 2*s.\nAnswer: 71*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d - 1692 + 1692 + 4*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 347040937, 347040931, 347040923, 347040913, 347040901, 347040887, 347040871?\n\"Answer: -a**2 - 3*a + 347040941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 3. Let m(s) = s. Let f = 20 + -17. What is f*m(i) + t(i)?\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 10. Let a(u) = -2*u + 12. Let i be a(5). Let s(r) = -2*r**2 + r**i + 0*r**w. Determine s(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5578 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 10*m + 91, 4*m + m - 6 = 3*w - 48 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - (-8 + -12) - (-2 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14852 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*p - 1. Suppose 4*q - 19 - p = 0. What is the greatest common divisor of q and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50103919597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + k**2 - 3*k - 3. Let y(s) = 5*s**3 + 3*s**2 - 8*s - 8. Let h(r) = 8*v(r) - 3*y(r). What is the third derivative of h(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10 - 14) + -3 - 15) + -1 + -3\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2702*a**2*f**3 + 4*a**2*f**2 - 8*a*f**3 + 2*a*f**2 + 2*f**3 - 11658 wrt f?\nAnswer: -16212*a**2 - 48*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = 0, 2*f - 4*f = 4*d - 248. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.69399mm to kilometers.\nAnswer: 0.00008969399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2020021021 (base 3) to base 15\nAnswer: -d041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*o + 34, 3*w + 25 = w + o. Let s(z) = z**3 - 11*z**2 + 11*z - 15. Let h be s(10). Which is the closest to 3? (a) h (b) w (c) -0.3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 4. Let s be g(4). Suppose 5*i = i + 8. Let q(y) = 3*y - 2. Let j be q(i). Solve 6*n - n = -s*x, n = -j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 72*l**3 - l**2 - 2. Let c(j) = -217*j**3 + 2*j**2 + 6. Let s(g) = -4*c(g) - 11*r(g). Let b be s(-1). Is -74 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/5 + z**4\/4 - 40*z + 12. Differentiate p(u) with respect to u.\nAnswer: -4*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8215766 centuries to decades.\nAnswer: 8.215766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -354522 (base 8) to base 15\nAnswer: -25d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + 4 + sqrt(13)*-2 - sqrt(13)) - ((sqrt(208) + 1 + sqrt(208))*1)**2.\nAnswer: -831 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3 - 2. Let b(j) = j**2 + 1. Let d(n) = -4*n**2 - 5. Let g(h) = -5*b(h) - d(h). What is g(x(c))?\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 22 = -20. Solve -u + o = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 11110011100101001?\nAnswer: -11110011100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*-4387.48.\nAnswer: 184274.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058905 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: Let h = 2475.3 + -2475.2993714. What is h rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143482.073 - 143391. Let m = d - 91. Round m to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 34. Suppose 561 = 8*x + 9. Suppose -4*p + x = y. What is the lowest common multiple of p and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -200680.4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1578 - 1652?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*s = -545*s + 1099*s - 3*f - 4, -2*f + 64 = 9*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 4, -23, -86, -197?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 - ((-228)\/(-15) + -10). Let p = -3.8 + 3.5. Which is the closest to -2? (a) z (b) 6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 351040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111157.2 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -2888.\nAnswer: -7\/1444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15*c + 592. What is the hundreds digit of l(86)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 158, 152, 146, 140?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 5683204*h - 68198736.\nAnswer: 2*(h - 2841614)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - a**2. Let x(i) = -i**3 + 6*i**2 - i. Suppose -6 = -6*r - 12. Determine r*x(z) - 4*y(z).\nAnswer: -3*z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429968 divided by 349.\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.17155 millilitres to litres.\nAnswer: 0.00017155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a factor of 21648230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 3*a = 30*o - 25, -29 = 4*o - 3*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4142617, -4142595, -4142559, -4142509, -4142445, -4142367?\nAnswer: -4142275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 302130?\nAnswer: -302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2757, -5499, -8231, -10947, -13641, -16307, -18939, -21531?\n\"Answer: l**3 - l**2 - 2746*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 2*h = -10, 0 = -5*s + 3*h + 15. Let k = -2 + 1. Let j be s + 87 - (-2)\/k. What is the greatest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - (-1708 + (2 - (2 - -1)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(180) + 1*sqrt(500)))**2 - (sqrt(375) - sqrt(375)*1)\/(-2*sqrt(48))) + 4 + 4.\nAnswer: 46088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 2940.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 45. Let q(i) = -5*i + 4. Let d be q(m). Calculate the common denominator of 45\/66 + (-2 - d) and 77\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16829239 to the nearest integer?\nAnswer: 4102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15811381 is divided by 15811379.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 246838972 and 0.3.\nAnswer: 246838972.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55391443.\nAnswer: 103, 537781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -329\/754 - -3\/58. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788163709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:35 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 117 - 53 = 0. What is the units digit of (-7)\/(-4)*(-2 + l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 14}. Give prob of sequence ggb.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*q + 13 = 4, 4*c = 2*q - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*x**3 + 6394864*x - 252385372.\nAnswer: -39*x**2 + 6394864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325143 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -82.2 and -388.\nAnswer: 31893.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 53. Calculate the remainder when 73 is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7079 is divided by 3398.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and (10\/7)\/((-2)\/(-14))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 81 = -45*v. Suppose 4*b = 5*p + 213, -5*p = -3*b - 10 + 171. Let z = b - v. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32443810092.26 + 4?\nAnswer: -32443810088.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - 0.24. Let m = 59 + -55. Let n = 0 + -1. Which is the second smallest value? (a) m (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 0.019 (c) -1\/8 (d) -6.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/49 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 4. Let l be (-2)\/(-5)*30\/w. Suppose -5*h + l = -4*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 f = 7 + 0. Suppose 3*m + 4 = f*m. Let a be m\/(0 + 7\/2). Which is greater: a or -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - 2*u**3 - 28*u**2 - 12*u + 0*u + 7*u + 3 + 2*u in the form q*u + a + v*u**2 + k*u**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -g - 5*g. Calculate the common denominator of -37\/17 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 73153297 a multiple of 1710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -5*h + 2*f = -13, -a*h + 4*f + 3 + 2 = 0. Let d be h\/((-3)\/2) - -11. Calculate the highest common factor of 99 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = 2*o. Suppose 6*h = 5*h + 3. Let z = 11 - h. Solve 0*g = -o*g - z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 726 = 17*d - 3*r, -d - 2*r = -141. Calculate the smallest common multiple of d and 27.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 48 = -4*f, 3*f + 2*w = 4*w - 36. Let j be (3\/f)\/((-3)\/36). Solve m + j*m + 8 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3515113 is divided by 9302?\nAnswer: 8259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 36. Let c be (-3)\/(3 + z + -3) - -18. Suppose -29*n + 32*n - c = 0. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 11) in base 8?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 - -3.06. Let h = 19.5 - 19. Which is the closest to 1? (a) -2\/9 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 2*i - 892. Suppose -7*w = d - 3*w + 2, w - 13 = -d. Calculate the lowest common multiple of i and d.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7119916799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-7)\/x)\/x)\/x*x)\/x*x*(x\/(x\/(x\/(x**(-2\/5)*x))*x))\/x*(x**(-2\/9)\/x)\/(x*x\/(x**5\/x)*x) assuming x is positive.\nAnswer: x**(-487\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/125 of a hour?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -9. Let a be -20 - ((-6)\/(-10) - (-6)\/15). List the prime factors of (-3)\/a + (-417)\/o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -224*w + 224*w + 8*w**2 + (w**2 - 2*w**2 + 0*w**2)*(-1 - 3 + 5).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145595a2 - -4?\nAnswer: -1455959b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*s - 39. What is the remainder when 21 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*(-12)\/(-18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 2*r**3\/3 + 4*r + 48. Let i(o) = o - 30. Give i(m(k)).\nAnswer: 4*k - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 75. Give k(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11627 + -0.14259. Round j to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40463 or -40462?\nAnswer: -40463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2. Let f(k) = 12*k + 13*k + 5*k. Determine t(f(h)).\nAnswer: 900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/35*(6 - 2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 13958?\nAnswer: 1674960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/2 - (-23)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-98)\/28*2\/14)\/(30\/4). Which is greater: l or 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*t - w + 166, 2*t = 2*w + 64. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4274836470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913671777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -54 (b) -3 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12000?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95411585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 40 = 4*g, -3*l - 44*g - 38*g + 85*g = 45 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41335, -41316, -41285, -41242, -41187?\nAnswer: -41120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvkjkvjvkvvjvvvvvv. What is prob of sequence vv?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 7.43, -66665 in descending order.\nAnswer: 7.43, 1\/2, -66665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-369)\/(-135300)*160)\/(2\/(-15)*-3)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/3 and -47\/1891.\nAnswer: 5673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -200022 (base 3) in base 15?\nAnswer: -22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 + 16 + -3) - (2 - 17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3 - 3*z**2 - z - 2*z - z**2. Let j(c) be the first derivative of 3*c**3 + 7*c**2\/2 + 7*c - 6. What is 6*j(m) + 14*y(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -385548 + 1\nAnswer: -385547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/45)\/2 + (-465)\/(-27). Let u(m) = -29*m - 40. Let w(n) = -84*n - 119. Let x(y) = s*u(y) - 6*w(y). What is the first derivative of x(h) wrt h?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 52*f + 718. What are the prime factors of m(42)?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22452\/7 or -3?\nAnswer: -22452\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 232311105 + 0?\nAnswer: 232311105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3497 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 + -27. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w**5\/5 - 6694*w**4\/5 + 173756*w**3\/5 + 373892*w**2\/5 + 39886*w + 1210 = 0.\nAnswer: -1, -1\/31, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*o + 5*y + 2, -12 = 4*y. Let j = -4\/5 - -3\/10. What is the third biggest value in 4, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10402 is divided by 3463.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*v - 15578 + 31*v - v**2 + 15687 - v**4 as t*v**3 + k*v**4 + h*v**2 + n*v + u and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 2*s + 18. Let k be i(-5). Let w be k\/(-1) + 1 + -1 + 18. What is the highest common divisor of 435 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k = 35*k + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y**8\/y*y))\/(((y\/y**7)\/y)\/y))**(-14))**(9\/8) assuming y is positive.\nAnswer: y**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10*r*r**7)\/(r\/(r**3\/r))**(-13\/2) assuming r is positive.\nAnswer: r**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeeqobdqexq. Give prob of sequence eeo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -327 + 10353?\nAnswer: 10025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212646?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by (33 + -36)\/(18\/(-66)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*f + 17 = -3*r, -2*r + f + 9 = 0. Let q = -3\/68 + 281\/204. What is the third biggest value in r, q, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffbba. What is prob of picking 2 f and 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**15*(h\/(h**(-4)\/h))**(1\/34) assuming h is positive.\nAnswer: h**(-82\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a**2 + 0*a**2 + 4*a**2)*((-2*a - 3*a + 0*a)*(0*a + 2*a**2 + 0*a) + 5*a**3 - a**3 + 0*a**3).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (17 + -23 + (-2 + 1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -206*d**3 + 4*d**2 + d + 46.\nAnswer: -1236*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444765 is divided by 148010?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*o + 58*o - 4 = 0. Is (o\/2)\/((-32)\/32816) - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 3 (c) 1\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 12. Let o be 2\/u - 102\/(-18). Solve 0 = 2*c - o, 0*z - 2*z - 2*c + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5 + 4 - 9*c + 2. Does 46 divide f(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7593 + 7594 + (1 - 2 - -27)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i + 3*n = -2, -4*i + 8 = -3*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33489.81 decades to years.\nAnswer: 334898.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720604850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13596*n = 5581*n + 56105 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 857903690?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d**2 + 3*d**3 + 41*d**2 - 17*d**2 to the form w*d**2 + u*d + h*d**3 + z and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*j + 107 = 0, -4*l + l - 236 = -5*j. Let n = l + 263\/3. What is the biggest value in 2, n, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/39559 or -2\/133?\nAnswer: 6\/39559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 4. Let z(r) = -9*r - 7*r + 26*r + 2 - 8*r. Let a(i) = i**2 - 6*i + 7. Let d be a(5). Suppose -3*n - 8 = 7. Determine d*o(f) + n*z(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -1 (c) 2\/15 (d) 0.059\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52721 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (0 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(1 - 3*u - 1)*(-u + 5 - 11 - 7).\nAnswer: 3*u**2 + 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 166417602 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose -u*f = -10 - 5. What is the highest common factor of f and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188645 by 56.\nAnswer: -188645\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*r = 40, -3*u - 2*r - 2*r = 5. Let y = -184 + 253. Suppose -46 - y = -u*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 569 and 568 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7 - 3*p**2 + 2*p**2 - 8*p**2 wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1292 - -1298. Which is the fourth biggest value? (a) -0.5 (b) 1\/3 (c) l (d) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3*(-3)\/(-675)). Let q = l - 46. What is the common denominator of 47\/8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1612\/5 - -322. Let z(v) = -v**3 - 7*v**2 + 10*v + 10. Let q be z(-8). Let m be (5\/(-8))\/(q\/(-8)). Which is the nearest to t? (a) -0.1 (b) m (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - j - 2*j**2 - j**3 + 21*j + 9*j + 3*j**3 in the form s*j**2 + g*j + t + k*j**3 and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 15, t: 3}. Give prob of picking 3 d.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + 6*-1*sqrt(9))*-2)\/((sqrt(24)*-3)\/sqrt(2)).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111010011010101101101 (base 2) in base 14?\nAnswer: -765c29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2746452619693 from -1.9.\nAnswer: -2746452619694.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 41. Let d be a(10). Let b(r) = -r**3 - 1. Let c(x) = -34*x**3 + 83*x**3 - 4 - 54*x**3 - 2*x**2. What is d*c(w) + 2*b(w)?\nAnswer: 3*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 23 = 108. Suppose -r - 3*g - 7 + 1 = 0, -3*r - 2*g + o = 0. Calculate the highest common divisor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let z(p) be the second derivative of p**4\/12 + 2*p**3 + 8*p**2 + 8*p. Let h be z(-11). Sort 2, h, u in decreasing order.\nAnswer: h, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -32. Suppose 0 = -v*i + 8*i - 612. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*g = -5*i - 451*g, 0 = -5*i + g - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 2*h - 1. Let c be s(1). Suppose p + 20 = -c*p. Let o(k) = k + 7. What are the prime factors of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Let d(y) be the first derivative of 2*y**2 - 9. What is d(w(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:27 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -406445.8182 rounded to the nearest 100?\nAnswer: -406400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47.76 + 47.8. Sort q, -2, 1.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -200758, -401520, -602282, -803044, -1003806?\n\"Answer: -200762*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.9 rounded to the nearest integer?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 equal to 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 - 4*h**2 + 5*h**2)*(-62*h - 6*h + 154*h + 127*h) to p*h + f*h**2 + t*h**3 + a and give t.\nAnswer: 1065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 224*j - 426. Determine c(-114).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1872807, -1872803, -1872815, -1872843, -1872887, -1872947?\n\"Answer: -8*o**2 + 28*o - 1872827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9636653?\nAnswer: 13, 89, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139238926237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-287)\/(-495) - 5\/((-325)\/(-39)). Let l = c + 236\/1881. Let x = -4 - -3.8. Sort l, 0.3, 6, x in decreasing order.\nAnswer: 6, 0.3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129 + 262 + 243)*(-1 - z + 1).\nAnswer: -376*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81a9c (base 15) in base 10?\nAnswer: 410772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.3029 nanoseconds to microseconds.\nAnswer: 0.7743029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 37*h + 3986. Determine o(-81).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -7*l + 62. Let t = l + -11. Is 9\/t*98\/21 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 15 = 0, -5*g = 3*o - 6*o + 21. Solve c - 4*c + 15 = -4*p, o*c + 7 = -3*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6073811 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1506 + 576 = -5*y. Suppose -13*p + y + 1023 = 0. What are the prime factors of p?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528128\/7 - (144\/21 + -6).\nAnswer: 2, 7, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0963, -0.04, 0.8, 17?\nAnswer: 0.0963","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 84\/54 + (-20)\/15\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0100966866 to 5 dps.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103221, 103224, 103227, 103230, 103233, 103236?\n\"Answer: 3*u + 103218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 920 = 15*z. Let h = z - 110. Suppose -h*w - 985 = -2895. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 4*z**2 - 3*z**2)*(452 - 178*z**2 - 452) - z**4 + 0*z**4 + 2*z**4.\nAnswer: -177*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**5 + 4*r**4 + 2*r**3 + 4*r + 4. Let h(v) = v**5 - 3*v**4 - v**3 - 3*v - 3. Let s = 5 + -9. Let n(t) = s*h(t) - 3*b(t). Factor n(c).\nAnswer: 2*c**3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -2.2. Let z be 1 - -2 - (-154)\/(-44). What is the closest to 0.1 in z, 5\/2, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145 + 146. Let h(i) = i. Let k(s) = 4*s. What is m*k(j) - 3*h(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - j - 3. Let p be a(2). Suppose -k = 2*n + p, -5*k = -n - 0*n + 15. Suppose -76 = -n*s - 2*s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*l + b + 12 = 149*l, 0 = 2*l + 3*b - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -1\/44 (c) 0 (d) -0.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:58 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 9, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 10:20 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 18 = -b, -3*b - 2*m + 8 = 22. Let w be (-14)\/b - -3*(-2 + 1). Let h(l) = 7*l - 1. Calculate h(w).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:48 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449453 = -114*v - 1454355 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-4)*2\/15\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 13, 0.05, -50, -3, 2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 - 37*z - 32. Is u(12) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f - 32. Give g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 + 65*n - 501. Let i be a(7). What is the greatest common factor of i and 242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4 = 3*c + 2*f, -2*c - 3*f = 19. Let x be (2000\/12)\/(c\/(-648)). Round x to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 444582736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*12\/18*(-366)\/(-4). Suppose -f = -3, 5*k + 5*f - p = k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose 0 = 4*b + 2*f - 90, b - 6*b + 5*f + 90 = 0. Suppose 0 = -2*l + b - 15. What is the highest common divisor of l and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/(2\/6). Suppose o*s - 27 - 9 = 0. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -41. Suppose -3*n = -2*z + y, 5*z + n - 72 = -2*n. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-1)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = -5. Let s = 9 - q. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 17*d**6\/30 + 3*d**4\/8 - 5866*d**3\/3 + 9*d**2 - 54*d. Find the first derivative of u(w) wrt w.\nAnswer: 204*w**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:59 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 - 3*d**2\/2 - d - 18. Determine n(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m. Let n(t) = -t + 5. Let g(h) = 1. Let p(f) = -5*g(f) + n(f). Give c(p(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -1 - h**3 + 5*h**2 - 5*h + 0*h + h - h. Let x be q(3). Which is the fourth smallest value? (a) 0 (b) x (c) -3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*c, -2*c - 17 = -2*w - 3*w. Suppose 0 = -w*y + 4*s - 3*s + 70000003, 5*y - 3*s - 70000009 = 0. What is y rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4916, 5427, 5938, 6449, 6960, 7471?\nAnswer: 7982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) 8 (b) 1464 (c) 2 (d) 1\/3 (e) 0.08 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 9. Let g be s(9). Let v = -4 - -4.3. What is the closest to 0 in g, -0.5, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.52 - -0.08. Let f = 13 - 8.6. Let s = f + u. Which is the second smallest value? (a) s (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**9\/6048 + f**8\/1120 - f**7\/560 + f**6\/720 - 5*f**3\/6 + 3*f**2. Let r(o) be the first derivative of d(o). Factor r(b).\nAnswer: -b**2*(b - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-31)\/279)\/(24\/(-1098))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*6 + sqrt(24) + -5*(sqrt(24) - sqrt(168)\/sqrt(7)))\/((sqrt(432)*2 + sqrt(432) - sqrt(432))\/(6*(sqrt(16) - sqrt(4))))*-5)**2.\nAnswer: 18050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:06 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4070924 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 1199999*c**4\/12 + 2*c**3\/3 + 5*c**2\/2 + 2*c. Let m be y(5). Suppose m = -0*p + 4*p. Round p to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 5*x**3\/6 + 13*x**2 - 559*x. Let s(m) = -4*m. Calculate c(s(f)).\nAnswer: -20*f + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 12092*w**5 + 1372438*w**4 + 2040071*w**3 + 2033129*w**2\/2 + 337903*w\/2 - 56 = 0.\nAnswer: -112, -1\/2, 1\/3023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 11. Put -2\/7, p, -2, 8\/3 in descending order.\nAnswer: 8\/3, -2\/7, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563615 divided by -1885?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 375\/1875 + (-1 - (-64)\/30). Let q = 0.034 - 0.434. What is the second smallest value in 0.1, q, -1, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s**2 + 4. Let t(n) = -6*n**2 - 5. Let w(q) = 4*r(q) + 3*t(q). Let x(g) = g. Determine w(x(k)).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*z**2 - 46*z**2 - 7*z**3 + (0*z + z + z)*(-7 + 2 - 2)*(1 - 2*z**2 - 1) to the form l*z**3 + m*z + b + w*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1376 and -4.\nAnswer: -3.8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.045 + -0.2. Let u = i + -1.845. Is 0 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40166 at most as big as -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4 - 178*f - 7 - 14 + 25. Let v(n) = 2*n**2. Calculate v(x(d)).\nAnswer: 63368*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -798*x - 77. Let q(k) = 42*k + 4. What is -4*c(d) - 77*q(d)?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524694?\nAnswer: 2, 3, 157, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/7, -1\/73, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from {f: 1, u: 5, j: 5}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 = -3. Suppose u = -2*u - 9, -p - u = 15. Let g be (6\/(-4)*p\/8)\/3. Which is the third smallest value? (a) g (b) d (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -36f92?\nAnswer: 36f81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rxxxbxbxxxr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/13, 1\/3, 1, 3, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*o - 1149*o - 470*o.\nAnswer: 98*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u + 11*u - 11*u.\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -777 (base 8) to base 15.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/10 and -23\/6398.\nAnswer: 31990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 1. Let i be k(-1). Let n be i\/(-2) + -1 + -1. Let l = -1 + -1. Put l, n, -0.1 in increasing order.\nAnswer: l, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2271?\nAnswer: -1\/757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -13, -11, -0.4, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 3*w**2 + 4*w - 3. Let n(t) = 4*t - 6*t + 3 + 2 - 2. Let m be n(0). Give i(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136189*u + 135941*u + 10664 = 0 for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 7:08 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2115 and 16245?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 10\/(-5) + -4. Let y(p) = p**2 - 3*p + 2. Let v be y(7). Let c = x + v. Solve -3*s - c = 3*q + 2*s, -20 = 4*q + 5*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 103, -2\/3, 0, 22\/13 in descending order.\nAnswer: 103, 3, 22\/13, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 + 244740*d**2 - 2995128105*d + 5989277290 = 0.\nAnswer: 2, 24473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618.566 millennia in decades?\nAnswer: 161856.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = 3*h. Suppose 6*r = 549 - 117. Let t = h + r. What is the remainder when t is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 25*x = 40 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.4. Let h(d) = 1 - 2*d**2 + 3*d**2 + 7*d + 0. Let k be h(-6). Which is the closest to 2\/3? (a) i (b) 1\/2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 5, p: 12}. What is prob of sequence pz?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 15774 (b) -0.22 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -1, -3*o = -u - 120. What is the remainder when o is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-512)\/1280)\/((-3)\/((-1710)\/(-6))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 15065586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7767, 1, -164, -6 in increasing order.\nAnswer: -164, -6, -3, 1, 7767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwwhwwwwwhwwww. What is prob of sequence whww?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*d = -130, 2*k + 28 = 3*k - 5*d. Let h(m) = m**2 + 12*m + 11. Let a = -18 - -6. Let f be h(a). What is the highest common factor of f and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w = -p - 9, 2*p + 3*w = 4. Let g be 67 - p - (-2 + -1). Let s = 53 - g. Does s = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**8\/2520 - r**6\/360 + 7*r**5\/60 - 2*r**2. Let g(l) be the third derivative of b(l). Differentiate g(u) wrt u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 - ((-52)\/(-16) + -3). Sort -1, p, -2\/3, 4 in increasing order.\nAnswer: -1, -2\/3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1083 divided by 2468?\nAnswer: 1083\/2468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q. Let v(s) = 4*s**2 - 4*s + 3. Let k be v(3). Let f be 9\/k - 22\/(-6). Solve q*h - f*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110078486, -110078489, -110078494, -110078501, -110078510?\nAnswer: -110078521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + 4*t - 2*t)*(-4 + 5 + 0) + 5*t + 4*t - 6*t + 6*t + 0*t - 4*t)*(14*t - 11*t + 10*t).\nAnswer: 91*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**3 + 2*o**2 + 2*o - 5. Let r be m(2). Suppose -5*y + 11*y = 684. Suppose 3*a - y = -3*a. Calculate the greatest common factor of r and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/8, -0.3, 3, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, a: 11}. Give prob of picking 2 a.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4.4*-904.841\nAnswer: 3981.3004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 8*h**2 - 30*h + 2. Let n be j(12). What is the units digit of 8\/((-8)\/(-4)) + n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(42\/28*(-8)\/42).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.187 + -3.186998182. Round x to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d. Let a(z) = z**2 - 2*z. Suppose 0*l - 22 = -5*p - 3*l, -2*p + 8 = 2*l. Let v(m) = 2*m**2 - 5*m. Let h(r) = p*a(r) - 2*v(r). What is n(h(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - 3) - (2 - (-5 - -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*w - 180*w - 137*w + 735*w - 180*w - 166*w.\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.106. Let i = -1.206 - x. Which is the biggest value? (a) -3 (b) 2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3650 (base 10) to base 13.\nAnswer: -187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -0.3, 204, 4, -0.5 in increasing order.\nAnswer: -3, -0.5, -0.3, 4, 7, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 7*p - p + 3*p**2)*(26181 - 10512 - 10845) in the form q + f*p**2 + s*p and give f.\nAnswer: 14472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + 5. Let f be i(0). Suppose 0 = f*g - 13 - 12, g - 1 = 2*y. Which is smaller: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -641, 2\/17, 0.012, 3, 3\/5 in increasing order.\nAnswer: -641, 0.012, 2\/17, 3\/8, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1393028 and 161252?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 1)*(-8*t + t - t) + (3 + 0 - 1)*(0*t - 3*t + t) + 4*t + 4*t - 6*t to q + r*t and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44775642 by 3.\nAnswer: -14925214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 20*h - 67 = 15*h, 0 = 4*o - 5*h + 139. Is 4389 + 252\/o*(-8)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**7\/336 - r**6\/144 + r**5\/48 + 5*r**4\/48 - 2*r**3\/3 - 13. Let x(a) be the third derivative of u(a). Factor x(l).\nAnswer: -5*(l - 1)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-387*3850\/99330)\/(-1*(-78)\/4)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107151853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + 6*j. Let h be 2*j + 8 + -2. What is the second derivative of t - 2*t**2 + h*t**2 - 2*t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -5\/4 (c) 0.1 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 47*y**2 - 1\/2*y**3 - 273\/2*y = 0. What is y?\nAnswer: -91, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(0 + -4) + (-780)\/(-3) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010011111101111111 (base 2) to base 15\nAnswer: 6bd90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 10*w**2 + 2*w + 13. Let v be p(-10). Let u(z) = 125*z - 109*z - 7 - 3 + 0. Let m = -159 - -164. Let s(k) = 11*k - 7. Give m*u(g) + v*s(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -3*w + 6*c, 2*w - 2*w - 38*w + 3*c + 133 = -43*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -953884 divided by 476942.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.095 - 0.021. Let t = -0.11499 - q. Round t to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4204*l**4 + 5701*l**4 - 420*l**4 + 3*l + l**4 - 3*l + (4*l**3 + l**3 - 6*l**3)*(3*l - 5*l + 3*l) + l**3 - l**3 - l**4.\nAnswer: 9484*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8062 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -20. Solve -2*x = -3*x + 3*s - 20, -3*s + 15 = d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*2 - (-38)\/(-90)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1140*j - 42178. Calculate w(37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*g + 25 + 49. Let i(x) be the first derivative of 0*x - 4\/3*x**3 + 3\/2*x**4 + 2 - 2\/5*x**5 + 0*x**g. Factor i(f).\nAnswer: -2*f**2*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319.94 - -5.94. Let k = -314.00000072 - j. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48342 divided by -2.\nAnswer: -24171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1663*o - 4244*o + 483*o.\nAnswer: -5424*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 1\/1 - 6. Let a(d) be the first derivative of -d**3\/3 - 5*d**2\/2 + 66*d + 48. Let x(i) be the first derivative of a(i). Calculate x(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26786496 and 110688?\nAnswer: 26786496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3572347 - -3572421.99926. Let j = u - 75. Round j to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uswyzye. What is prob of picking 1 w and 2 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11403 - 0*(-3)\/(-18). Let t be 48\/(2 + d\/(-5700)). Round t to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64874, 64934, 64994, 65054, 65114?\n\"Answer: 60*o + 64814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14372345 and 1417.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*1269\/2820\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 10. Suppose -3*k + 3*x + 13 = 2*x, -3*k + p*x = -17. Solve -2 = k*u - u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2908)\/(-32) + 696\/(-464)*1\/(-12).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -263470, -1054090, -2371784, -4216552, -6588394, -9487310?\n\"Answer: -263537*t**2 - 9*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (90\/(-25))\/(18\/(-20)). Solve -15 = -5*l + 5, -m*g = -3*l - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121228837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 486\/(-8) + 2 + 0. Let u = h - -59. Let d = 115.7 + -116. What is the nearest to u in d, -1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.5 (c) -23\/3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 19267937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*-2 + sqrt(175) - (-4*sqrt(448) - sqrt(7))**2) + -4 + (sqrt(245)\/sqrt(5)*-4)\/sqrt(7).\nAnswer: -7627 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*o**4 + 0 + 0*o - 2\/7*o**2 - 3\/7*o**3 = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 174256 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36.17 + 33.17. What is the third smallest value in 5, 0.03, w, -0.3, 2\/15?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/37)*(u**(7\/5)*u)\/u)\/(((u\/((u\/u**(-4\/9))\/u))\/u)\/(u\/u**(-20))) assuming u is positive.\nAnswer: u**(39611\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/5 - 3501*m\/5 + 700.\nAnswer: (m - 3500)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7778 + 1923 + 1913 + 2019 + 1923 + 4*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1046464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 - 7*b**4\/24 + 7*b**3\/6 - b**2. Let l be f(-5). Let o = 165 + -131. Calculate the highest common factor of o and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4*(-3)\/(-798))\/(-45*12\/2520))\/2.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-3785533.\nAnswer: -1892766.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*f - 0 + 16, 5*f = -4*y - 29. Let d be 1\/((-3)\/12*1). Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y + 2758584 = 102*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 44. Suppose w + 39 = c - o, -c = 5*o - 48. Suppose c = -h + 78. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 6. Let s(w) = 5*w - 47. Let l(g) = -s(g) - 4*v(g). What is l(-11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + 27\/(-9))*(-31)\/(-1). Does 31 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2 - 98. Let m = t + -102. Let u be (-2)\/(-5)*(-360)\/m. Solve j = 5*b + 26, 2*b - j - u = 7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-112))\/(2\/(20\/(-5))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(4608)*3*-4))**2.\nAnswer: -41472*sqrt(2) + 5972112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*y + 4, 15 = 3*y - 2*k - k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 2:10 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 + 461. Let x = h - -2310. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -564*m + 1055*m - 489*m + 21.\nAnswer: 2*m + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v - 1. Let a(p) = 350*p + 84. Let x(k) = a(k) + 84*y(k). Let c(r) = -10*r**2. What is c(x(t))?\nAnswer: -1960*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 122*o - 486. Calculate the smallest common multiple of 560 and f(8).\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from {k: 1, v: 9, y: 10}.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Let z be -2 + (1 - -1) - 3. Put l, z, 2 in descending order.\nAnswer: l, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6*i - i - 21 = 0, -3*i + 15 = v. Suppose -3*o + 165 = -v. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -15480\/373 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543122 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 96557 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 + 2*q - 1. Let v be m(1). Suppose 2*f = 2*h - 1 - 1, 3*h = 12. Let i be 0 + -2 + 2 + f. Which is the nearest to 6? (a) 1\/3 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1)*(((q*q**10)\/q)\/q)\/q*((q\/((q**(2\/9)*q)\/q))\/q)\/(q*q\/q**4) assuming q is positive.\nAnswer: q**(79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966*t + 3316*t - 367*t - 1 + 1.\nAnswer: 3915*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -75. Suppose -y - 6 + u = 0. Sort -4, 9, y in increasing order.\nAnswer: -4, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 46. Let p be y(-14). Solve -d = 5*l - p, -5*d - 5*l + 27 = -3*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3512680 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21 - (-3 - -1)) + 1. Let i = 26 + d. Solve -w + i = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 57*u - 67*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15532572 and 9413680.\nAnswer: 310651440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 less than 101402?\nAnswer: 101349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - 35*a**2 + 20*a + 49. Calculate q(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100 divided by 1\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 9*k**2 - 7*k - 9. Let p be s(8). What is the nearest to 0 in 0, -5, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h**4 - 7408*h**3\/5 + 33949*h**2\/5 + 42328*h\/5 + 876\/5 = 0 for h.\nAnswer: -1, -2\/95, 6, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-6))\/((-55)\/45 + 1). Suppose 5*w = -2*l + 162, -4*w + 2*w + r*l = -61. Find the common denominator of -97\/2 and w\/6 - (-1 - -5 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7274.46t to micrograms.\nAnswer: 7274460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8508 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*u**2 - 16*u**3 + 44*u**2 - 1)*(-4*u + 3*u - 2*u) to w*u**2 + y*u + b*u**3 + l*u**4 + z and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 150*p**2 + 655*p - 750 = 0 for p.\nAnswer: 2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84 - 75. Let o be u\/(4 + -1) - (-32)\/(-4). Suppose -4*k + 30 = -9*k. Is k greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728323750?\nAnswer: 2, 5, 7, 11, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1c0 (base 13) to base 14\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 - -3?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gh when two letters picked without replacement from phggghhhp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, m: 6, l: 1, y: 3, e: 1}. Give prob of sequence emy.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/497005 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 10:41 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p. Let z(q) = -6*q**2 - 11*q. Let r(k) = -k**2 - 2*k. Let x = -2 - -8. Let o(a) = x*z(a) - 33*r(a). Calculate o(s(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14 + -3*(-3)\/3. Let x be -3 + (y\/3)\/(1\/(-3)). What is the highest common divisor of x and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -10, -21, -36, -55, -78, -105?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -136416 + 42?\nAnswer: -1363d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15052798 + 15052798 - 2*q**2 + 3*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3291 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: Is 3827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 187160 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406876 by -101719.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) -2\/7 (c) 2\/2503 (d) 93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 821.9236 millennia?\nAnswer: 8219.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 + 5. Let x be 0\/1 - (-6 + 1). Let z(a) = -a**2 - 1. Let f(o) = x*z(o) + b(o). Let j(v) = 3*v**2. Give j(f(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95868 divided by 66.\nAnswer: -15978\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.034 + 67.034. Let i = -66.5 + a. What is the third biggest value in 5\/3, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and -0.779?\nAnswer: 1.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4939 - -4938. Let y be (16\/(-24))\/(2\/33). Put g, y, -4, 4 in decreasing order.\nAnswer: 4, g, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 433, 31, -132 in ascending order.\nAnswer: -132, -5, 2, 31, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(3))\/sqrt(9) + sqrt(5) - sqrt(5)) + 4.\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12112 or 1998341\/165?\nAnswer: 12112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 33 + 299 = 59 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -10*h + 53. Let g(x) = -3080*x**3 - x**2. Is g(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**9\/12096 + l**8\/4032 + 13*l**5\/60 - 22*l**2. Let y(j) be the third derivative of p(j). Factor y(h).\nAnswer: 5*h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487 - 375. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -2*s + 202. Let m = 1421\/5 - s. Put 1\/3, m, -1\/5 in increasing order.\nAnswer: -1\/5, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 25 + -5 - (41 - -7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.7, -0.2, -7, 62.6 in increasing order.\nAnswer: -26, -7, -0.2, 0.7, 62.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6*s - 79. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (-23 - ((-49 - -22) + 26))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.5, -0.1, -1738?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8101 or -5212?\nAnswer: -5212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6288089903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * -18.99.\nAnswer: -303.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7988 divided by 1997.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -364*p**2 + 121*p**2 - 592*p + 126*p**2 + 118*p**2 to o*p + a*p**2 + n and give o.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 237465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*g*h - 2*g*w - 89298*h*w + 528999*w wrt h.\nAnswer: 31*g - 89298*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*u - 5132 + 2263 = 4020 + 6631 for u.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8238325034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**7\/105 - 4*x**6\/25 - 33*x**5\/50 + 19*x**4\/15 + 56*x**3\/5 - 246*x. What is j in p(j) = 0?\nAnswer: -7, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c**3 - 34*c**3 + 103*c**3.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -1 + 2 + sqrt(117) + 4 + sqrt(117)*-3)*1 + 5)**2.\nAnswer: -60*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 - -1)) + (-5 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3689958 a multiple of 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 13*h = -11*h + 14, 2*d = -6*h - 4 - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 8*u**2 + 6*u + 3. Determine r(8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 108 + 650. List the prime factors of r.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -937, -1890, -2891, -3964, -5133, -6422, -7855, -9456?\n\"Answer: -4*m**3 - 925*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 36. Let o = -9 + s. Suppose o = 3*n - 11 + 17. Is n less than or equal to -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 1\/4*p**2 - 21*p + 83\/4 = 0.\nAnswer: 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1169 + -1176. Let s(v) = 4*v + 17. Calculate s(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.877 - -0.577. Put 0, z, 4, 63 in descending order.\nAnswer: 63, 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -82, 0, -1.\nAnswer: -82, -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120 (base 3) to base 6.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 3 - 3)*(1 - 1 - 2*q)*(0 + 0 - 3*q)*(-3*q - 70*q - 376*q**2 + 378*q**2).\nAnswer: -24*q**5 + 876*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*w + 54 + 38, -9*d - 3*w + 113 = -8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9870 + 10302. Calculate the greatest common factor of s and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.2 + -0.1. Let s = 1.3 + b. Let q = 17 - 50\/3. What is the third biggest value in q, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (-3 + 4 + (sqrt(72) - sqrt(2)) + 5)*-4 + 2))**2.\nAnswer: 23000*sqrt(2) + 33225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7770)\/(-74)*(1920\/280)\/(-8)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -163935 * -237\nAnswer: 38852595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 6:33 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.8. Let r be (1\/4)\/(6\/(-8)). Let n = 44 - 43.8. Sort r, f, n in ascending order.\nAnswer: f, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.0161717.\nAnswer: 0.00161717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 542401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - 3)*(-1)\/2. Solve 3*l = -2*y + a, -y - y + 5*l = 33 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1146224 (base 7) to base 12.\nAnswer: -70762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -70344, -70352, -70372, -70410, -70472, -70564, -70692?\n\"Answer: -k**3 - k - 70342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-287)\/(-4018) - -4*(-310)\/112.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 7074*y**2 - 3287248*y - 9925464 = 0 for y.\nAnswer: -3, 554, 2986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**4*u**2 + 1114*a**4*u - 2*a**3 + a**2*u**2 + 5*a**2 + 12*a + 3*u + 23 wrt a?\nAnswer: 72*a*u**2 + 26736*a*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4257 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**2 + 44\/7*k - 16\/7 - 2\/7*k**4 + 16\/7*k**3 = 0. What is k?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**7\/210 + s**6\/90 - s**3\/6 + 2*s. Let o(t) be the second derivative of i(t). Find the third derivative of o(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose -p*l - 3 = -6*l. Solve -o - l = 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-36) + 515\/9. Let b = -29 + y. Suppose 0 = -i - 9*i. Solve -3*a + b = 5*k, -a + 4 - 3 = i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - -52 - ((3 - -24) + -36)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + v)*(-3 + 7 - 29)*(-3*v + 2*v + 3*v).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2730384 and 70\/56883.\nAnswer: 2730384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, 1\/69, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*z = 25, 3 - 4 = -y - z. Suppose 4*a + y = -2*f + 19, 0 = -f + a + 5. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 4:11 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1767*f**2 - 229*f**3 + 31*f**3 + 1649*f**2 - 3416*f**2.\nAnswer: -198*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1092157 to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4901 + 4901. Which is the nearest to 3? (a) 2 (b) j (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 z, and 1 f when three letters picked without replacement from {w: 2, j: 1, x: 6, z: 4, f: 2, i: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -25, -4 in ascending order.\nAnswer: -25, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -29*g + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -134, -270, -406, -542, -678?\n\"Answer: -136*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-2))\/((-56)\/40*-10).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g*y**5 - 7*g*y**2 + 2*g*y + 25*y**5 - 17*y**3 + 879*y wrt y?\nAnswer: 180*g*y**2 + 1500*y**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-5) - 570\/(-475).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -7, -29, -71, -139, -239, -377?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**2\/3 - 208935724*q\/3 - 10913534190851044\/3 = 0 for q.\nAnswer: -104467862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-20))**26)**(-35) assuming i is positive.\nAnswer: i**18200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = -c + 5, 0 = -c - 3*a + 10. Suppose 12*l = c*l - 50. Let b be 4*5\/l*1. Sort b, 4, 2 in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1908 divided by 6\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/8)\/((-1272)\/1696).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 at most as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 3, w: 1, c: 1, u: 4, v: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/18)\/((-42)\/7)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -73*n. Let u be i(18). Let z = 2737 + u. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 387, 568, 751, 942, 1147?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15\/16 + -939\/80. Suppose -3*y + 46 = 4*v, 0 = -2*y + 2*v + 26 + 14. Calculate the common denominator of (-123)\/y*(-9 - -8) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -418330 to the nearest 10000.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 15. Let c be o(11). Let s(m) = c*m**2 + 0 + 6*m + m**2 + 7. Let q(g) = -9*g - 11*g**2 - 69 - 4*g + 54. Give 6*q(y) + 13*s(y).\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 189 - 34*p**3 + 94 + 42*p**3 + 19*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 295*r. Let y(q) be the first derivative of -q**2\/2 + 2*q + 3. Let m be y(4). Let k be i(m). What is k rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + 3*t**2)*(5 - 5 + 2)*(-5*t + t + 2*t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/5 - 81992*k - 3689721\/5 = 0.\nAnswer: -9, 409969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -583.48 - -550. Let j = 33 + o. Let l = j + -0.2. Round l to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3383572161 to the nearest integer?\nAnswer: 58168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0505011108672 - -321994.6005011308672. Let w = 321993.5 - h. Let j = w - -0.05. Round j to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 - 122*o - 4. Let d be n(-22). Is -224 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 115 = -17. Put 4, 8, -1, w in descending order.\nAnswer: 8, 4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109.44 - -108.44. Which is the third biggest value? (a) -0.4 (b) r (c) -5\/47 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-2 + 2 - -4)) + (690 - 696)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 558*d + 95*d + (-3*d + d + 3*d)*(-2 + 1 + 0)*(-2 + 0 + 3) + (d - 6*d + 4*d)*(-1 + 1 - 2) as y*d + u and give y.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 4, 4*b = 2*m - 16. Suppose 3*i + 19 = 91. Calculate the greatest common factor of i and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(270\/(-123)) - (-8)\/18. Let s(d) = d**3 + 11*d**2 - d + 6. Let r be s(-11). Solve -u = 2*w - 12, 2*u = y*w - 2*u - r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.5, -2604520, -0.5 in descending order.\nAnswer: 0.5, 0.07, -0.5, -2604520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsshhahrrdhad. What is prob of picking 1 h and 1 r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56367564 <= 56367560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -5 (c) -8 (d) -57\/1846 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 3969674.\nAnswer: 1\/3969674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3 - 4*v + v**3 - 2*v**2 + 0*v + 2*v. Suppose 3*y - 4 + 13 = 0. Let w(b) = -b**3 + 3*b**2 + 4*b + 5. What is y*w(i) - 5*z(i)?\nAnswer: -2*i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457742917?\nAnswer: 1457742917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.64213855 to one dp.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 393\/358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 - 56*a**4 - 128*a**3 - 8*a**2 + 124*a + 64.\nAnswer: 4*(a - 16)*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + 11 - 10\/2. What is the closest to -2\/9 in -0.3, u, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-228)\/2*5000\/(-30). Round n to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*i + 13 = 0, 4*i - i = v + 7. Suppose 992*j = 987*j + v. Solve 0 = -5*w - 6 + j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in 1, -0.1, 2\/757, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13 = -g, -5*n - g + 0*g = -21. Suppose n*y - 2*y = 36. Suppose f = -4*k - y, 12 = 3*f - 2*k - 4. Solve 5*d = -0*d - c - 15, d + f*c = 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 - 0.0452?\nAnswer: 110.9548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56585 + 92694. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 152*i + 1740 = -7*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314494 divided by -9257?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**2 - 20433570*l - 20433573 = 0.\nAnswer: -1, 6811191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5 + 649313*j**4 + 4*j**3 + 4444405*j**2.\nAnswer: -60*j**2 + 15583512*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcoc when four letters picked without replacement from zzzczozsbzzscbo?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24d41b (base 16) to base 11\nAnswer: 13a9408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 1 - 2 + 2 + 2*n**2 - 2*n**4 + 2*n**3 to the form r + p*n**3 + s*n**2 + j*n + h*n**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -4376?\nAnswer: -175.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 206340389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/9)\/(k\/(k*k\/((k**(-6\/5)*k)\/k))*k))\/(k\/k**(-1\/3))**(1\/56))**17 assuming k is positive.\nAnswer: k**(14977\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325259*d**2*w**3 - 14*d**2*w**2 - 4*d*w**6 + 15616*d*w**2 wrt w?\nAnswer: 1951554*d**2 - 480*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4710101788 + 4710101862.00000089. Let t = -27.58 + 101.58. Let j = n - t. What is j rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33984.2 micrograms in nanograms?\nAnswer: 33984200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36269 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000820448432 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/24 and -28\/1263.\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(sqrt(1900) - (4 + 1 + sqrt(1900) - sqrt(1900))))**2.\nAnswer: -480*sqrt(19) + 7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (0 - -1) - -3. Let l be (k\/(-10))\/((-4)\/(-20)). Put 3, l, -1 in descending order.\nAnswer: 3, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*1\/(-1))\/(-2). Let l be 1*(m + (2 - 3)). Let c be 3 - (40\/12 + l). Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*o = 19, 0*j - 4*j - 3*o = -66. Suppose -s = 2*s + j. Let y = 1 - s. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.0327 + 0.0327. Which is the second biggest value? (a) m (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -23. Is o less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 2*l**2 - 27*l - 10. Let t be m(-6). Suppose -b + 4 = 2. Suppose 0 = -0*d + 2*d - 3*c - 7, 5*c = -b*d + 15. Solve d*i + t = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37116130*h*l**3 - 2*h*l**2 + 22337850*h wrt l?\nAnswer: -222696780*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2942547251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - j**2 + 2*j - 4. Let k(f) = -6*f**3 - 3*f**2 + 6*f - 11. What is -4*k(b) + 11*t(b)?\nAnswer: 2*b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, n: 11}. What is prob of sequence nnsn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 92*a**3 + 2*a**2 - 2*a - 2. What are the prime factors of p(2)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55d852 (base 16) to base 15\nAnswer: -761e28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14033 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467*f**2*j**3 + 2*f*j**3 + 4*j**3 + 25*j wrt f.\nAnswer: -934*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q - 2. Let a be h(-3). Suppose -a = -4*i - 0. Find the first derivative of -5*j**4 - j**i + 2*j**4 + j**4 - 1 wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -82*w**3\/3 + 5*w**2\/2 - 411*w - 979. What is the derivative of g(m) wrt m?\nAnswer: -164*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 7*s**2 + 10*s. Let x be i(5). Solve x = z - 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 28 + 25 + 8*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, e: 10, v: 2, x: 1}. What is prob of sequence ev?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 2\/11, -4, 2 in decreasing order.\nAnswer: 40, 2, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -19 - (36 + (40 - (9 - -21)))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 6*j**4 - 3*j**3 - 5*j**4 - 2*j**4 + 2 - j**3 to x*j**3 + d*j + k + o*j**4 + c*j**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 2. Let u(p) be the first derivative of -p**3\/3 - p + 25. Give 2*a(x) + 5*u(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51.8 - -52. Put -2, h, -3, 0.3 in decreasing order.\nAnswer: 0.3, h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 - 972 = 6*i. Let h = i + 299. Calculate the greatest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1534 - r**2 + 1534. Let q(h) be the first derivative of -9 + 3*h**3 - 21*h**3 + 11*h**3 + 3*h**3. Calculate q(g(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10346.8 from -5.\nAnswer: 10341.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (340505 + 3*g + 8*g - 340524)*(-3 + 4 + 0) in the form l + k*g and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68672 is divided by 177?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2262 + 2258. Put 2, -3, 8, h, 4 in descending order.\nAnswer: 8, 4, 2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -30. Suppose 4*j + 0 = 4*s - g, 5*s + 3*j = -17. Let w = 295\/6 + -49. Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1))**(-1\/5)\/((p**(5\/6)\/p)\/p**(1\/2)))**(9\/8) assuming p is positive.\nAnswer: p**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 759*a**2\/5 + 2674*a + 23712\/5.\nAnswer: (a + 2)*(a + 16)*(a + 741)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e93 + 5226?\nAnswer: 81b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8257512 divided by 1258?\nAnswer: 6564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11414 (base 5) to base 7.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.931 + -0.069. Let j = -13 - -5. Let f = j + 8.4. Put r, 0, f in descending order.\nAnswer: f, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*l = 16, -18 - 2 = 5*w - 5*l. Suppose -2*c - 2*v + 126 - 2 = w, 0 = 3*c + 5*v - 182. Calculate the remainder when c is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0605 - -0.2\nAnswer: 0.2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 44*j - 659. Let z(q) = -4*q**2 - 34*q + 527. Let t(k) = 9*l(k) + 11*z(k). Determine t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5487439029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782001189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - 342 = -4*h + 30*d, 2*h - 10*d - 216 = 0. Calculate the remainder when 1793 is divided by h.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 7*d - 6. Let k be j(-6). Suppose 180 = -p + 4*p. Suppose 5*q + 5*s - p = k, 0*s - 1 = -s. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyymyuyyyu. What is prob of picking 2 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibhb. What is prob of sequence bih?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -408085260*s**4 - 16069990*s**2 - 2 wrt s.\nAnswer: -9794046240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 14) in base 9?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 268 = -f. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 8*i - 6. Let c = 26 - 23. Let b(t) = t**2 - 7*t - 7. Let s(d) = c*p(d) - 4*b(d). Let v be s(5). Solve -q + 6 = -v*j, -3*j + j = q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3642551 (base 7) to base 11.\nAnswer: -297976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-24)\/(-20))*-5. Let k be 9\/t*(3 - 1). Let v be k\/18 - (-2)\/(-12). Solve -g - g + 10 = v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2575086835 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -28813136428.76.\nAnswer: -28813136433.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.0294 - -0.0294. Suppose 0 = v + 5*z + 29, -z + 1 = v + 10. Which is the nearest to 0.3? (a) k (b) v (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -1) + 57 + -117 + 57.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248058 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -2, -628, 41 in ascending order.\nAnswer: -628, -4, -2, -1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10156)\/627133*(-130)\/16?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153 + 162. Let g(q) = q**3 - 7*q**2 - 9*q - 5. Let b be g(d). What is the greatest common divisor of 304 and b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467965 is divided by 2074.\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207\/8 - 7393\/280. Calculate the common denominator of 3\/22 and i.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 4, y: 1, c: 4, a: 4, h: 1}. Give prob of sequence aahy.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**3 + 26*o**2 - 8*o + 6. Let h be x(3). Solve 3*f + 6 = 3*v - 3, h = -4*v + f + 15 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1042, -1040, -1036, -1030?\n\"Answer: r**2 - r - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.69 - 0.31. Let x = -16.3 - l. Which is the closest to 0.06? (a) x (b) 0.1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/80 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/2)\/d**(-6))**10 assuming d is positive.\nAnswer: d**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*n - 180. Suppose t - n = -t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8596741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31769577 and 186770.\nAnswer: 317695770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(-26)\/(q**(2\/5)\/q)**(1\/20) assuming q is positive.\nAnswer: q**(-647\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21267093, 42534185, 63801277, 85068369, 106335461?\n\"Answer: 21267092*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 979*c - 323*c = -1451*c + 4214 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*755.1\nAnswer: 604.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 312*x. Let v(f) = -2*f. Determine v(l(h)).\nAnswer: -624*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = v - 24 - 0, -5*v - 4*l = -33. Which is the second biggest value? (a) 2\/3 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18211, -36436, -54685, -72970, -91303, -109696, -128161, -146710?\nAnswer: -165355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.09 + 2.99. Let h = s - -28. What is the closest to h in 0.6, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 13. Is 1172\/b*(-1)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402.038 + 402. Put m, 2, 1 in descending order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2204801 * -0.021.\nAnswer: -46300.821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 6*r**2 - 5*r + 10. Let c be y(-5). Let k(f) = -98 + c*f + 98. Let h be k(1). What is the highest common factor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6800*a**3 - a**2 + a. Let n be k(1). Round n to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from hwbbmhmsbmmxwwmbmw.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 6*n - 5. Let g be u(6). Let t = 13 - 51. Sort g, -4, t in increasing order.\nAnswer: t, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) -0.02 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 81*z**3 + 351*z**2 + 471*z + 198.\nAnswer: 3*(z + 1)**2*(z + 3)*(z + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15\/4 + 7\/2. Let z be 330\/770*14\/12. Which is the second smallest value? (a) n (b) z (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/15 - 32722*x**3\/15 - 26778046*x**2\/3 - 133792082*x\/5.\nAnswer: -2*x*(x + 3)*(x + 8179)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.09 - 5.09. What is the second smallest value in j, 140, -4\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f = 8. Let r = f - -6. Solve r*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.88?\nAnswer: 9.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 1)*-5.\nAnswer: -40*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4290307 divided by 5.\nAnswer: 4290307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 263290*w - 5002152. Give x(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -6 + 4 - -34 - (-18 + 12 - -10).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-18) + (10 - 13)\/3\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19513141 - 19513404.00507. Let a = -263 - k. Round a to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*k**3 + 9225*k - 96208 wrt k?\nAnswer: -12*k**2 + 9225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61678913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 9.3, 2\/5, 1, 856 in increasing order.\nAnswer: -5, 2\/5, 1, 5, 9.3, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20552 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5440 and 7820?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260837359 to the nearest integer?\nAnswer: 16150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l - 8. Let n(i) = -5*i - 12. Let w(h) = 5*n(h) - 8*v(h). Determine w(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 13*d + 34. Let m be z(-8). What is the greatest common divisor of 38 and m?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6360 (base 7) to base 6\nAnswer: 14223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-3)\/6*2 + 5. Let p be 4 - (-2 + (0 - -2)). Factor 0*g - 6*g + 2*g**3 + l*g - p*g**2 + 4.\nAnswer: 2*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 36580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 5 + -6)*(-22 - 2). Let x(n) = -6*n + y*n + 10*n - 9*n + 11. Is x(2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 236 = 144. Solve -m*a - 12 = -2*c + 4*c, 0 = 3*c + 2*a + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10018 - -19157\/2. Let s = r - -441. Let 0 + s*t**3 + 0*t**2 + 0*t = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(72\/6)*(8 - 4). Is x bigger than -1\/393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.9 + 5. Which is the closest to f? (a) -1 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19165*i*t**3 + 2*t**3 + 5*t + 38 wrt i.\nAnswer: -19165*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p - 348. Let o be z(-22). Let w be (1\/(-5))\/(4\/(-5)). Let v = 7 - 10. Which is the nearest to w? (a) v (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 931 + -703. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5632 = -23*z + 9778. What is the units digit of z\/16 + (-7)\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 4, g: 2, w: 2, i: 2, m: 1}. What is prob of sequence oojj?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 + 5*z - 3. Determine k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48937189 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*o**2 + 0 + o**3 + 518*o**2 - 2.\nAnswer: o**3 + 1058*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3023 + -50?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36851594 is divided by 6455.\nAnswer: 6454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-353.5\nAnswer: -10.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 87*h**2 - 270*h - 15. Calculate c(-90).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 5. Let j(l) = -l. Let p(w) = 4*w. Let h(t) = -9*j(t) - 2*p(t). Let a be h(5). What is the highest common divisor of i and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -5*w - 5*q, -w + 2*q - 4*q - 5 = 0. Let r = -8 - w. Solve 2*u + 5*c + 0 = 2, 1 = u - r*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*h + 2740 = -91*h + 7251 + 7200 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*v**2 - 23523*v - 1470 = 0. Calculate v.\nAnswer: -490, -1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5016\/(-165))\/(28\/35)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + a37?\nAnswer: a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 128746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.04 - 0.04. Let h = -28 + c. Sort -1\/6, 0.2, 4, h in ascending order.\nAnswer: h, -1\/6, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 7:14 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzzazllazlfabzzilbf. What is prob of sequence zz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -77. Let l(r) = -r**3 + 8*r**2 - 15*r + 20. Let t be l(6). Let o be t\/(-4) - (-21)\/w. Put 2, o, -5 in increasing order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*u + 188 - 314*u - 79.\nAnswer: -15*u + 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.086?\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87564885*f**3 + 6*f + 8988566 wrt f.\nAnswer: 525389310*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1741989675 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3466 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.71 and 0.2.\nAnswer: 1.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 58.61657mm?\nAnswer: 5.861657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5142 + -5053. Let g(t) = -t**2 - 13*t - 4. What is the remainder when j is divided by g(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-12)\/10 - 8\/(-40)). What is the nearest to r in 5, -3, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((53 - 37) + -56)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbxbprrxbbbr. Give prob of picking 1 r and 1 x.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p - 3*w + 16, 0 = 2*w + 4. Suppose -3625 = -p*q + 11*n - 16*n, 4*q - 3615 = -3*n. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**5\/7 + 5020*n**4\/7 + 1820344*n**3\/7 + 21052216*n**2 - 1820348*n\/7 - 147370532\/7 = 0.\nAnswer: -571, -113, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -6739, -1\/2, -3\/2, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(105*r + 280*r + 113*r).\nAnswer: -996*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137546680 is divided by 1114?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:51 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72751537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 2*m - 5*w, -9 = -5*m + 4*w. Let i = 8 - m. Suppose -i - 7 = -l. Calculate the remainder when 41 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13347 or 53385\/4?\nAnswer: 13347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 287789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 181*s - 2021. Calculate c(13).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23144, -46244, -69356, -92486, -115640?\n\"Answer: -j**3 - 23093*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 23\/4 + 35\/4*m**4 - 51\/2*m**2 - 71\/8*m - 7\/4*m**3 - 3\/8*m**5 = 0.\nAnswer: -1, 1\/3, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:07 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 17) + 6)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 33 + 13. Let i(p) = p**2 + 8*p. Let l be i(-8). Sort n, -1, 3, l.\nAnswer: n, -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -146, 14, -5, -86, 15 in decreasing order.\nAnswer: 15, 14, -5, -86, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370, -1787, -4138, -7417, -11618, -16735, -22762, -29693?\nAnswer: -37522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12111.\nAnswer: 3, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**5 - 2*s**5 + 3*s**3 + 17*s**5 - 10*s**5.\nAnswer: -3*s**3*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4738 + -4.4832. Let l = z + 5.15696. Let h = l - 0.2. What is h rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3\/3 + 5212*l**2\/9 - 13984*l\/9 = 0 for l.\nAnswer: -437, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 468.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -631*f**5\/6 + 259*f**4 + 485*f**3 - 2962*f**2\/3 + 19*f\/2 + 339 = 0. What is f?\nAnswer: -2, -339\/631, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*i**4 - 467*i**3 - 483468*i**2?\nAnswer: -696*i - 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6244, 12171, 18098, 24025, 29952?\n\"Answer: 5927*j + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 7*b**3 - 21*b - 21. Let c(d) = -d**3. Let v(q) = 6*c(q) + w(q). Let z(i) be the first derivative of v(i). Differentiate z(g) with respect to g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + -1.82. Let l = r + -0.55. Let t = l - 0.03. Are 2\/5 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4525\/2 at least -2264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -93. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20384*a**3*h + 114*a**3 - a**2*s**3 + 2*a*h*s**3 + a*h*s - 274*a*s**3 - 58*h*s**3 wrt a.\nAnswer: 122304*a*h + 684*a - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/71 + -186\/781. Which is the closest to -1? (a) 0 (b) q (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -5) + -2 + -5 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*o - 10340 = -275*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -340761.816 - -339294.04067. Let m = -1453.775 - q. Let h = -14 + m. What is h rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*z - 5*o + 14, -5*z - 4*o + 31 = 0. Suppose 3*w - 2*w = 3*f + 3, 2*f - z = -w. Solve -5*y + f*i - 13 = i, 0 = 3*y - 2*i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112954 to the power of 1\/2, to the nearest integer?\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -23\/24*k**4 + 3*k**2 + 0 - 1\/2*k**3 + 0*k. Calculate the remainder when n(-2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 0*s**4 + 0*s**2 + 0*s**3 - 28 - 41\/5*s**5 - 49*s. Find the first derivative of a(b) wrt b.\nAnswer: -164*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 2*i + 5. Suppose 0 = -3*y - 6, 3*x = -x + 5*y + 26. Suppose x*u = -1 - 11. What are the prime factors of r(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -18. Suppose 12*r - 99 = r. Let k(n) = -8*n - r*n - 5*n + 7*n. Calculate k(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000310269668 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -1. Suppose 0 = 2*w - 5 + q. Suppose 2*m = -w*m. Solve i + 2 + m = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/2 - 1270398*t**3.\nAnswer: -3*t**3*(t + 846932)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/68 + 40859\/221.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*2899.\nAnswer: -28990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*r + 86741 - 86741.\nAnswer: -473*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h + h + h)*(97*h**4 + 82*h**4 - 30*h**4).\nAnswer: -894*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4500740283 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 - i - 3. What is w(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -7 (b) 0.26 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 426446864?\nAnswer: -426446864.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7877766 minutes in days?\nAnswer: 0.00471373375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -100693, -100695, -100699, -100705?\n\"Answer: -j**2 + j - 100693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -5) + -2 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40784 and 89133432?\nAnswer: 178266864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*q + 5*l - 21 = 66*q + 27, 0 = -q + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + a - 2)*((0*a - a - a)*(a**2 - 6*a**2 + 3*a**2) - 1028 + 186*a**3 + 1028).\nAnswer: 190*a**4 - 190*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 27*u + 1. Let i be l(7). Suppose v = -v + i. Find the common denominator of (-4)\/6 - v\/(-12) and -85\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*s - 232*s + 369928 = 231*s. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + -3 + -4 + 2 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123\/5 + 2593\/105. Let q(a) be the second derivative of 2\/5*a**6 - 2*a**2 - 2\/3*a**4 + 2*a**3 - 2\/5*a**5 - 32*a - i*a**7 + 0. Let q(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 17. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253 = 4*v - v + 4*k, -4*v = 2*k - 1654. List the prime factors of v.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -623*l**3 - 5*l**2 + 9*l - 5. Let n(h) = -935*h**3 - 7*h**2 + 13*h - 7. Determine 5*n(d) - 7*s(d).\nAnswer: -314*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64792 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t + 655 - 214 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(9 + -10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*p - 90, 5*u = 2*p + 8 - 43. Suppose -2*v - a = -24, 5*v - 3*a = 1 + 37. Let b = p - v. Solve -3*c - 2*c = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204) - sqrt(204))*-2*-5*3)\/(sqrt(12) + 4*sqrt(192) + sqrt(192) + sqrt(12) - -5*-2*sqrt(12)).\nAnswer: -15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-1*84))\/(42\/(-84)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124970 rounded to the nearest 1000?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.136657.\nAnswer: -0.409971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2625*a**2 - 13521*a - 2. Let v(q) = 3*q. Calculate z(v(k)).\nAnswer: 23625*k**2 - 40563*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317\/1441 - 5\/131. Let j be (-3 - 32)*(-1 + 0). Let m = j - 36. Is q != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -142, -277, -398, -505?\n\"Answer: 7*d**2 - 156*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/30 and 89\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2459440 by 614860.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 25*b**2 - 26*b + 3. Let j(r) = -r**3 - 19*r**2 + 42*r - 26. Let z = -594 + 573. Let t be j(z). Determine i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from apppkvksvkkc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0, 235, -5 in descending order.\nAnswer: 235, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 5*r - 3. Determine o(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 6*l**2 - 4*l**2 + (l + 2*l - l)*(0*l + l + 0*l) - 3*l**2 - 2*l**2 + 3*l**2)*(146103*l**2 - 230*l**3 - 146103*l**2).\nAnswer: 230*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(10) + sqrt(250)) + sqrt(11))**2 + (2*sqrt(1584))**2.\nAnswer: 228635\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of ((-93)\/6)\/(102\/108 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 3:12 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*v - 16281 = 2357 + 40300 - 13510 for v.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4250 and -4\/6375?\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 148\/16 + (-20)\/16 + 1. Suppose -z = 5*n + 76. List the prime factors of (4 + -3)\/((-1)\/n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173772163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 29 = -2*j - 19, 0 = -4*j - y + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 80 - 90. What is the lowest common multiple of 36 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(272)*-1 + sqrt(272) - sqrt(272))**2 + ((2*sqrt(272))\/sqrt(8))\/sqrt(2).\nAnswer: 2*sqrt(17) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82413.2694 take away 41?\nAnswer: -82454.2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23730464.\nAnswer: 2, 61, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2048, -4634, -7218, -9800, -12380, -14958?\n\"Answer: v**2 - 2589*v + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a + 35. Let s(m) = 2*m + 18. Let u(d) = 3*l(d) - 5*s(d). Let z be u(6). Is 2\/z - (-17020)\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59954331 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - s)*(8 + 33 + 28)*(2 - 2 - 3).\nAnswer: 207*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89546 + 66766 = 24*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5756, 11964, 18212, 24500?\n\"Answer: 20*o**2 + 6148*o - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 22 - (-6 - -20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 22. Let g = 5.9999905 + s. Round g to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29 + 21 - 800*q - 6 - 46 wrt q.\nAnswer: -800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 12 + 8. Suppose 8*t = 5*t + 3*y - 15, 21 = -4*t + 5*y. Sort -8, t, s, -3 in increasing order.\nAnswer: -8, t, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1500)\/(-168) - 9) + (-10)\/(-42). Sort n, -13\/3, -0.3 in ascending order.\nAnswer: -13\/3, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 17896*i**2 - 26754*i**2 - 29971*i**2 + 17*i.\nAnswer: -38829*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6269.9067 and 721.2041.\nAnswer: -5548.7026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {n: 3, l: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x + 6. Let t be l(1). Solve -5*q + q = -5*m + t, 0 = q + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -6 + 16 + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhvhuvvooouoohovhvov. What is prob of sequence hbu?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602246188.\nAnswer: 2, 37, 1117, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 44 - 34)*(0 - 2*s**2 + 0).\nAnswer: 112*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {c: 1, l: 4, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b + 215. Let k be r(-15). Let o(v) = 1. Let p(y) = -y + 4. Let h(m) = -3*o(m) + p(m). Calculate h(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:25 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let k(y) = -2*y**3 + y**2. Calculate k(n) - 2*l(n).\nAnswer: -2*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -243 + 83. Let k = s + 157. Put k, -1, -2\/15 in decreasing order.\nAnswer: -2\/15, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18273 by -3.\nAnswer: 6091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 != -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, -5\/6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 3\/7, -5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 44 = -5*p - c, -4*c + 40 = 2*p. Suppose -10*w + p*w = 890. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48064 divided by 6008\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(1\/2 + -1). Let g = -0.9 - -0.6. Let h(a) = -a**3 + a + 2. Let f be h(0). What is the nearest to f in 0.4, g, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/672 - z**7\/28 + 47*z**6\/240 + 47*z**5\/120 - 15*z**4\/4 + 25*z**3\/3 - 4886*z**2. Let q(x) = 0. What is x?\nAnswer: -2, 1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x**2 + 304330*x - 43475 = 0. What is x?\nAnswer: 1\/7, 8695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r**3 - 1772*r**2 + 441*r - 225. Calculate o(-111).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31724 + 50801. Let w = 65900 - m. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 5*t. Let i(d) = 3*d**2 + 2 + 4 - 2*d**t - 9*d. Let n be i(9). Solve 3*g = g - n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1538616, -3077254, -4615916, -6154614, -7693360, -9232166, -10771044?\nAnswer: -12310006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441.0962 - -0.0962. Let k = -441.1334 - j. What is k rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -222294.\nAnswer: -666882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/120 - 4*y**5\/15 + 11*y**4\/6 + 5*y**3\/6 - 8*y**2. Does 17 divide h(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8244277367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -78.9. Let m = o - -27.9. Put m, -4\/17, -2 in decreasing order.\nAnswer: -4\/17, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 7, b: 11}. What is prob of picking 2 b and 2 t?\nAnswer: 385\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxlsxxllllsxrll. Give prob of sequence rx.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**6\/120 - 3*l**5\/10 + 41*l**4\/24 + 13*l**3\/6 - 4*l**2 - 10*l + 5. Give y(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 8430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdpppd. What is prob of sequence pp?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 695, -2\/21, -7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 527713, 1055443, 1583173, 2110903, 2638633, 3166363?\nAnswer: 3694093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1257, -5373, -12345, -22167, -34833, -50337, -68673, -89835?\n\"Answer: x**3 - 1434*x**2 + 179*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/3 + 1\/2. Let p = -3\/20 - -3\/4. Let j = 3.1 + -3. Which is the biggest value? (a) j (b) 6 (c) p (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -21. Let f be 4 - k\/(5 - 2). Let x(n) = n**2 - 5*n + 3. Give x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/14 and 111\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 1250 = -1285. Let r = -508 - x. Which is the closest to r? (a) -4 (b) -2\/285 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (4 + 0 - 4) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(-35) - (4\/12 + (-16)\/12). Which is the smallest value? (a) j (b) 2\/5 (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1.8, 2\/7, -4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1 - 1 + 146*l - 1 + 2. Let m be r(3). Suppose -3*v = 2*v - 2*b - m, 2*b - 95 = -v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*g + 21, 5*s + 3*g + 9 = -18. Let a = 1 - s. Let j be (-70)\/a*(-20)\/25. Calculate the greatest common factor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 21356634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 = -5*z + 1, 52 = 4*o + 5*z. Let l(c) = -o + 2*c + 18. Let v(s) be the second derivative of s**4\/6 - 2*s. What is v(l(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4072*b**5 + 23041*b - 2?\nAnswer: -81440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2549*t**2 - 122352*t - 15. Determine p(48).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6469.547 grams?\nAnswer: 0.006469547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 - 22.2251.\nAnswer: -85.2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24524424 - 0.05.\nAnswer: -24524424.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 + 6*j. Let t(s) = 8*s**2 + 7*s + s + s. Let d(h) = -41*h**2 - 46*h. Let n(v) = -2*d(v) - 11*t(v). Give -7*b(f) - 6*n(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/4583431 and -115 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 2*i**2 - 5*i + 3. Let f = -284 - -273. Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -37*a + 2205. Let h(r) = r + 2. Let o(t) = 4*h(t) + x(t). Is o(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12892 in -2, -1, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 121 = -32*m. What is the biggest value in -5, m, -2, -13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + w = 8, 2*p + w - 16 = -2*w. Let h(b) = -6*b - p*b - 4*b - 2*b. Let m(s) be the second derivative of s**3\/3 - 9*s. Give m(h(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {l: 3, j: 3, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -418.8 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -4 (b) -0.12 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11562, 92422, 311890, 739272, 1443874, 2495002, 3961962?\nAnswer: 5914060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 - y**3\/6 + y**2 - 2*y. Let k(m) = -m + 7. Let v be k(4). Let i be n(v). Solve -i = -3*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 >= 253.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.236 and -35868102996.\nAnswer: -35868102996.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8109387 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -22*7\/10 + -2. Let d = 91\/5 + o. Factor -18\/5*a**2 + d*a + 0.\nAnswer: -2*a*(9*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0 - 6\/7*q**4 - 3\/7*q**3 + 0*q**2 + 0*q + 9\/7*q**5 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 1182*o - 5921. Calculate c(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-1)*(-1)\/3. Suppose 3*k + p = 7*k. Let h(w) = 240001*w**2 - 2*w. Let u be h(k). Round u to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 + 1106*q**2 + 54880*q - 70992768 = 0. Calculate q.\nAnswer: -231, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 664760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, 152, 394, 608?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -26*r - 71*r + 6*r - 40*r. Let l(c) = -7*c**2 - 15*c + 5. Let b(x) = 10*x**2 + 21*x - 7. Let a(y) = 5*b(y) + 7*l(y). Give a(t(q)).\nAnswer: 17161*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -202.04 + 202. Let y = 0.01 + 3.99. Are y and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14165 - -14168. Let b be 1\/(-2 - (-10)\/4). Suppose -6*d - 2*a + 48 = -b*d, 36 = 3*d + 4*a. Solve -n*q + 3 = m, -4*m + d = 5*q - 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 + -146. Solve 2*b + b - 15 = -2*d, -4*b + z = -5*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiu when three letters picked without replacement from iuuuuuuuuuuuiuuuuuiu?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/3 + 978682*i**3 + 718363842843*i**2 = 0. Calculate i.\nAnswer: -1468023, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -167 divided by 1717960\nAnswer: -167\/1717960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -390590.2 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8823\/1012 + 8\/253. Calculate the common denominator of m and -95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 0*t**3 + 2*t**3 + 3*t**3 + t**3 - 5*t**3 + (t**3 - 4*t**3 + 5*t**3)*(-3 + 0 + 4) + 38 - 38 - 17*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + h = -3*h - 32, 0 = 4*s + 4*h - 40. Let c = s - 8. Let o(y) = y + 7. Let f(i) = 3. Let n(m) = 9*f(m) - 4*o(m). Give n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, 14, -2\/3, -2, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 13, 48, 101, 172?\n\"Answer: 9*f**2 - 10*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5)*(-4)\/(-6). Let b = 0.01 - 0.51. What is the closest to k in 1, 3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -468*q - 4208. Let h be b(-9). Factor 0 - 4\/5*i**h + 2\/5*i - 11\/5*i**2 + 13\/5*i**3.\nAnswer: -i*(i - 2)*(i - 1)*(4*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -145*x. Let v(g) = 8*g - 1. Calculate v(d(c)).\nAnswer: -1160*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97\/364 + -1\/52. Let b = 4 - 7. What is the second smallest value in -5, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h**3 + 31*h**2 - 9*h + 35. Calculate the remainder when q(7) is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-20)\/(m\/(m*((m*m**7\/m*m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14e (base 16) to base 8\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1331) - 5*(sqrt(1331) + -1 + sqrt(1331))) + 0 + 1 + sqrt(1331))**2.\nAnswer: -1056*sqrt(11) + 85222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 258.\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by 35.\nAnswer: -109\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -2\/38465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 5*x + 10, 6*c + 4*x + 1107 = 1077 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-12)*24\/(-64)*-4. Solve m*w - 3*h = -4*h - 4, -4*w - 20 = -4*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69)\/(-437)*1\/(-9). Is -2 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -23.7. Let u = -113\/968 - 1\/121. Let s = 2 - 3. Which is the smallest value? (a) u (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -2, 4, 2 in ascending order.\nAnswer: -2, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2832, 5709, 8586, 11463, 14340?\nAnswer: 17217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12174 or -12175?\nAnswer: -12175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 157 - 3*f - 2*f.\nAnswer: -f - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**2 - 990*q - 995 = 0.\nAnswer: -1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117107 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6518 + 6948. What is the highest common factor of l and 440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -12. Let r = -11 - s. Which is the closest to -1? (a) -2\/7 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067628923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 225111.\nAnswer: -2\/225111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, b: 3}. Give prob of picking 3 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14212597.\nAnswer: 7, 23, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2728, 2818, 2910, 3004, 3100, 3198?\n\"Answer: d**2 + 87*d + 2640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.6. Let i be -2 + 3*(-21)\/9. Let j be 34\/i + (6 - 2). What is the second smallest value in o, -0.5, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 5*o**7\/98 - 6*o**6\/35 - 33*o**5\/140 + 13*o**4\/14 + 6*o**3\/7 - 12*o**2\/7 + 94*o. Let q(t) = 0. What is t?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - z - 1. Let k(m) = -14*m**3 + 21*m**2 - 21*m - 21. What is k(g) - 21*o(g)?\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 597 - 593. Suppose -11*f = 5*k - 13*f - 14073, -j*f = -4. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/8 (b) 4 (c) -0.89 (d) -4\/5 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:27 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8202 from 208464.\nAnswer: 200262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5994 + 14990. What are the prime factors of v?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/7 - 2938*w**3\/7 + 2576841*w**2\/7 - 87904960*w + 6266444800 = 0.\nAnswer: 160, 1309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1699.99998727 + 1700. Round k to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/5 + 398703*k**3\/5 + 1196084*k**2\/5 - 6379248*k\/5 - 3827520 = 0.\nAnswer: -398700, -4, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 3. Let y be p(-3). Let u be 2 + 6\/((-2)\/(-1)). Let c = u - y. Are -2 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2736 and -0.55.\nAnswer: -2736.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16742540 by -7340.\nAnswer: -2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -30\/19651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v - 4. Let o be q(4). Solve -4*h + o = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1666 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 138421690 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -10.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*i + 67, 4*i = 3*b + 43 + 46. Suppose i = -3*m + 92. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.127*0.43.\nAnswer: 0.05461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -10 + 12 + (10 - 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21775656600 rounded to the nearest one million?\nAnswer: 21776000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10645 - 4?\nAnswer: 10641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - sqrt(24)\/sqrt(6)*-6)\/sqrt(2) + sqrt(200)\/sqrt(4) + sqrt(2)*1 + 3.\nAnswer: 3 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -0.8. Let u = 0.8 - n. Let v = 0.1 - 0.3. Is v less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1385, -1374, -1359, -1340, -1317, -1290, -1259?\n\"Answer: 2*d**2 + 5*d - 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.654 - -0.146. Let v = a - 23.1. What is the closest to -2 in v, 0.3, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + ((-63)\/28)\/(-9). What is the second biggest value in -0.5, y, 0.09?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 79, 156, 253, 364?\n\"Answer: -v**3 + 19*v**2 + v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312235914?\nAnswer: 2, 3, 311, 167329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9302804 and 14476?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let f(g) = -2*g**2 + 16*g - 14. Let d be f(7). Solve -3*n + 5*v = -10, 2*v - 2 + y = d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/18)\/5*((-835)\/2338)\/((-15)\/27)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8850 less than 190?\nAnswer: 9040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/17150641 or -1?\nAnswer: 58\/17150641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*g = 18910, 0 = 88*y - 90*y - g + 12615. What is the thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356038703?\nAnswer: 356038703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (356\/(-267))\/(5\/(-3)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-2165)\/(-15) - -3*(-8)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 7017330*z - 2462146016445.\nAnswer: -5*(z - 701733)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 91562 and 4879?\nAnswer: 26278294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 46*r + 8*r**2 + 2*r**2 - 46*r - 6*r**2 - 4*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -105 + 105.254. Let p = -40.846 - k. What is p rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 153 = 836. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)\/g**(1\/41) assuming g is positive.\nAnswer: g**(-124\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 3*g + 14, 3*f + 0*g - g - 18 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 - 269. What is the second derivative of -27 - 24*c**3 - c**4 + 89*c**3 + 4*c**b - 3*c wrt c?\nAnswer: -12*c**2 + 414*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17334217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 98, -4, -2 in decreasing order.\nAnswer: 98, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-184)\/2484).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 465\/(-15) - (2 + -9). Let n(s) = -s**3 - 27*s**2 - 84*s + 31. Does 31 divide n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25050, -50114, -75178, -100242?\nAnswer: -125306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 996 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - 2*p**2 + 6*p**2)*(-1 + 0 + 2) + 177*p + 6*p**2 - 177*p to the form c + g*p**2 + v*p and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 7 = -2*b + 2*v, -561*v + 558*v = b + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 0 + 3\/20*a**5 - 26*a + 4\/3*a**3 - 2\/3*a**4 + 5\/2*a**2. Let q(b) = -b**3 + 3*b**2 - 3*b - 2. Calculate 8*q(r) + 3*t(r).\nAnswer: r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(6)\/sqrt(3)*-3).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(5) - (sqrt(605) + sqrt(605)*3)))\/(((-1*sqrt(60) - sqrt(60))*6)\/sqrt(10)) + 0.\nAnswer: sqrt(5)\/516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z\/z**5)*z)\/z)*z*z*z\/z**(-2)*z)**0*(z**3*z)\/((z*z*z\/(z*z**(2\/9)\/z*z))\/z)*(z**(-1\/2)*z)**(2\/115) assuming z is positive.\nAnswer: z**(3344\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4 times 7.1711?\nAnswer: 124.77714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11) + 0 - (-12)\/66. Suppose s = 3*h - 3321773 - 1418152. Suppose 2*i + 2338605 + 821390 = -z, -5*z = i + h. Round i to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d + 18*d + 13*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*s**4 - 20*k**2 + 30458*k*s**4 + 5809*k*s**2 + 2*s**4 wrt s.\nAnswer: -24*k**2*s + 730992*k*s + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**2. Let k(b) = 10*b + 165. Let y(u) = u + 18. Let r(i) = 6*k(i) - 55*y(i). Calculate o(r(f)).\nAnswer: -225*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 3*x - x + 0 - x + 0 + (0 + 1 - 2)*(2*x + 2*x - 6*x) + (-x - 4*x + 3*x)*(0 - 3 + 2) + 5*x - 3 + 3 in the form w*x + p and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, 25, -2, -5, 2 in ascending order.\nAnswer: -5, -2, 2, 4, 18, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1226 by 254591.\nAnswer: 1226\/254591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6\/101 (b) 0.57 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 18*t + 7. Is x(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.086156 to 2 dps.\nAnswer: 110.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = 0, -w - 2*k - 74 = -77 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 11:53 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.2 (c) 0 (d) 1\/135 (e) 0.04 (f) -0.07 (g) 123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-30)\/(-4)))\/(6\/5).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -402214*s + 3119 - 3119.\nAnswer: -402214*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 757.6 - 692. Let s = n + -72. Let f = s + 6. Which is the third biggest value? (a) f (b) -0.5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 1 + 4)*(-4 + 0 + 5 + s).\nAnswer: 16*s + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 186910.59 months?\nAnswer: 1557.58825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 4.\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjckd. Give prob of picking 1 d and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 455084 a multiple of 460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + 7 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = 9*o - 1366. Calculate the remainder when o is divided by 86.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**5 + 3*v**4 - 5*v**3 - 8110*v**2 + 5*v. Let q(a) = a**4 - 2*a**2 + a. Let i(y) = -b(y) + 5*q(y). What is the third derivative of i(g) wrt g?\nAnswer: -60*g**2 + 48*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 27 - 5 + (-3 - 3 - 3)*(2 + 4 - 5) + 2 - 3 + 2)*(3*n - 2*n - 5*n)*(1 - 1 + 2).\nAnswer: -128*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0586 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 4*c**2 + 2*c. Suppose -8*d + 28 = -d. Suppose o + d + 0 = 0. Calculate p(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (6 - 28)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 56. Let i = 74 - s. Suppose -y + 4*z = -12, -3*z - i = -5*y + 22. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26\/(-169))\/(3\/(-78)). Which is the closest to z? (a) -3\/5 (b) -1\/6 (c) 2 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = -2*u, 0*u + 5*u - c - 20 = 0. Let a = 6 - -2. Let b(g) = -g**3 + 5*g**2 - 5*g + 6. Let p be b(4). Solve u*w + p = -a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3649 - 3669. What is the closest to 1 in j, -4\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 8) to base 14\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 21*u - 15616. Suppose 3*i + x = -x + u, 986 = 3*i + 4*x. List the prime factors of i.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.271274 to three dps.\nAnswer: 0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d**2 - 2*d**2 + 3*d - d**2 - 13*d. Let o be h(-3). Let w(y) = y + 0*y - 5*y + o*y. Let s(f) = -11*f. What is s(w(t))?\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4*g - 6. What is the remainder when n(-3) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 0, f + 0 - 4 = 4*a. Let l be -9 + (2992\/(-8))\/(-11). Suppose v + f*v = l. Solve -j - v = -2, -5*j - 20 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9075\/(-5082)*(-14)\/(-60)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -0.152.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6088735296 by 3.\nAnswer: 2029578432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/42*161\/(-115)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26344043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -30 + (30 - -40).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**4 + 20*k**3 - 16*k**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 38, -4, 4 in decreasing order.\nAnswer: 38, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/4 - 2*u**3\/3 + 14. Factor t(f).\nAnswer: -f**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o**2 + 7\/2 + 3*o.\nAnswer: -(o - 7)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68\/5*7805\/446 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from effefffkeefeeeeeef.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahahh. Give prob of picking 1 h and 2 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73996 + 181893. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 452\/9 + -50. Which is the second smallest value? (a) u (b) -1\/4 (c) -3\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -76, -193, -358?\n\"Answer: -24*m**2 + 3*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 + -1 + -6 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17685)\/(-14148)*88\/(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18531942 or -18531937?\nAnswer: -18531942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 313656, 627459, 941262, 1255065, 1568868?\n\"Answer: 313803*w - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 17*d - 25*d + 10*d + 14*d.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -627 + 626. What is the second biggest value in j, -3, 3\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/sqrt(63))\/(sqrt(60)\/sqrt(108)) + 5 + -1)**2.\nAnswer: 8*sqrt(11) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -14. Let q = 8 + g. Solve -5*f = 18 - q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306 (base 12) to base 7.\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26485608*o**3 - 14*o**2 - 397385*o + 1.\nAnswer: 158913648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 smaller than 676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/(t*t*t*t**(1\/2)))\/((t*t\/t**(-5))\/t*t\/t**(-2\/5)) assuming t is positive.\nAnswer: t**(-139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(((-16)\/(-4))\/2). Suppose x - 2 = -b - t*b, b + 23 = 4*x. Solve 4*w - 7 = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1487*a - 1654. Let u(s) = -4463*s - 4965. Let z(v) = 17*q(v) - 6*u(v). Find the first derivative of z(k) wrt k.\nAnswer: 1499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 455.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmrxrrmorrromqr. Give prob of picking 4 m.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1747, 0.1, -2\/1167, -23?\nAnswer: -2\/1167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/15*9\/24. Suppose 3*t - 12 = -0*t. Let o = -0.1 + 0.1. Which is the nearest to o? (a) k (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/20)\/((-6)\/75). Suppose s*d = d. Suppose d = 2*k + k + 2*h + 20, -22 = 4*k - 2*h. Is k less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:10 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.12 - -1.88. What is the smallest value in h, 132, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - 2*a**2 - a**2)*(-8*a**2 + 6*a**2 + 8*a**2) + 186*a**3 - 186*a**3 - 3*a**4 - a**4 - 2*a**4 - a**4 + (3*a**3 + a**3 - 3*a**3)*(-4 + 4 + a).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -28 - (-3 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -819*o - 14. Let n be q(4). Round n to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - (4 + sqrt(2352)))**2.\nAnswer: 192*sqrt(3) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2 + 58*k + 88. Let o be m(-28). Solve -2*z - z = d + 4, -d - o*z - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 2*w - 4*p + 2, -2*w - p + 7 = 0. Let g be 3 + 3 + -8 + 4. Solve 0 = t - 5*d + 17, -g*t - w*d + 4 = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970543 is divided by 1188.\nAnswer: 1135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -65440*t. Let m(p) = -p**2 - 41*p. Determine m(l(z)).\nAnswer: -4282393600*z**2 + 2683040*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2158 and 500201.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(252\/35) - (4 + (-4747)\/6). What is the highest common divisor of y and 5319?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 59. Suppose -c*k = -12*k - 4*f + 236, -k + f + 49 = 0. What is the third derivative of -54*o + k*o - 14*o**3 + 17*o**2 wrt o?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02645742995 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494 = 139*g - 35 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05584 rounded to 3 dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 675 = -3*j, 15 = 5*j - 0*j. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -11138.\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-44) - 13\/(-4). Sort 3, r, -3 in decreasing order.\nAnswer: r, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgkaivlvvikglv. Give prob of sequence gglv.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 685588*n + 706529.\nAnswer: 685588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -312518 - -1562588\/5. Let q = 0.2 + -0.7. Which is the nearest to y? (a) -0.01 (b) 4\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(175)*3))**2*2.\nAnswer: 26\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 - 169 - 14688*c + 385.\nAnswer: -14688*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/3)\/(1\/93). Suppose 3*i - t = 26. Suppose 532 = a + 3*a - r, 0 = -a + 2*r + 133. Calculate the highest common divisor of i and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32464, 33166, 33868, 34570, 35272?\n\"Answer: 702*k + 31762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 - 97. Suppose 15 = -4*v - k. Let y be (-1)\/((-12)\/v)*20\/(-15). Solve 0*w = -y*w + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1)\/(4\/10). Let x(b) = -b**2 - 4*b**2 + b + 469 + b**3 - 473. What is x(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 25*l**2 + 0*l + 0*l**4 - 13\/20*l**5 + 17\/3*l**3 + 0. What is the first derivative of g(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 10, o: 1, z: 5}. Give prob of sequence zx.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -abc0 (base 15) to base 11\nAnswer: -25396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/((-6)\/(-9)). Let b = 1 + h. Suppose b = -f + 13. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/108)\/(10*(-1)\/6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 9*z + 8. Let a(d) = d**2 + 8*d - 7. Suppose -4*s + 7 + 17 = 0. Calculate s*a(t) + 5*q(t).\nAnswer: t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5461 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015 - 791*b - 2*b**2 + 5*b - 1015.\nAnswer: -2*b**2 - 786*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/3 - 13)*-2. Let a = z + 52. What is the greatest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 5*d - 5. Let q be a(-5). Let p = q - -7. Find the third derivative of 7*b**5 - b**2 - 6*b**5 - 3*b**p wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 2, -118, 59, 12 in ascending order.\nAnswer: -118, -52, 2, 12, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (-4 + 8) - 5. Let l = 8 + r. Is 12 a factor of l\/7 + 165\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*z**3 + 320*z**3 - 2029*z**3.\nAnswer: -1761*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1262354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -5*n + 63, 3*n - 5*w = 31. Let z(d) be the first derivative of -49*d - 1\/3*d**3 + 7*d**2 + n. Factor z(v).\nAnswer: -(v - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**10*q*q**(-5)*q)**19)**16)**20 assuming q is positive.\nAnswer: q**48640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -12, -2 in descending order.\nAnswer: 11, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1877*z**7\/42 - z**3\/6 - 127*z**2\/2 + 2585*z. What is the second derivative of r(o) wrt o?\nAnswer: 37540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 12, -b + 246 = 3*g - 72. List the prime factors of g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.792 plus -4223363.98?\nAnswer: -4223359.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*f + 22 = 0, 4*m + 3*f - 23 = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103482*i**3 - 10*i**2 - 2342349*i wrt i?\nAnswer: 620892*i - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 506578 in decreasing order.\nAnswer: 506578, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 - 5*y**4.\nAnswer: -5*y**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(8) + sqrt(5) + 3.\nAnswer: 3 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -54. Let d be 2\/(p\/5 - (-19)\/5). What is the biggest value in -0.02, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7118 and -61.1.\nAnswer: 434909.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let k(z) = 11*z**2 + 13*z + 13. Let p(t) = -5*t**2 - 6*t - 6. Let q(h) = -6*k(h) - 13*p(h). Give q(f(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + 5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -16.4, 1, -4\/5, -1\/71?\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2873*h**2 - 1298*h**4 + 1577*h**4 - 1107*h**4 wrt h.\nAnswer: -19872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*k = 2, -3*l - 3*k = k - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 - 27*v + 2. Let c be u(-9). Let b be ((-20)\/(-4) - -4) + -3 + -4. Solve -o = b*o - c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y - 36. Let v be c(-3). Let n(q) be the first derivative of -q**3 + q - 2*q**2 + 1 - 1\/4*q**4. Give n(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -7*f**3\/6 - f. Calculate the remainder when r(-1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19388313\/46 or 421486?\nAnswer: 19388313\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.61 - -68.39. Let u = -68 + d. Suppose -1 - 24 = -5*h. What is the nearest to -2 in h, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.505 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(2*b + 2 - 2) - b + 2*b + b)*(-3*b**2 - 4*b**2 + 2*b**2).\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 4:31 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72364 + 1962?\nAnswer: -70602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-2 - (30 + -13))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 15 - 36. Let b be 2\/((-14)\/(-45)) - 30\/70. Is 56\/b - (-34)\/u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d**3 + 3*d**2 + 6*d + 3. List the prime factors of k(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r**2 - 37\/3*r**3 - 34 + 29*r. What is the first derivative of v(k) wrt k?\nAnswer: -74*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 443 + -1024. Let k = -584 - f. What is the nearest to 0 in -1, k, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o**(-1\/2)\/o))**(-13)*o**(-6)\/o**(-5))**(1\/20) assuming o is positive.\nAnswer: o**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or -32.78177?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60219 is divided by 140.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 261 + 3*u - 387 - 2*u**3 + u**2 + 518 in the form j*u**3 + d + l*u**2 + b*u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11*z - 61. Suppose 3*r - 28 = -r. What is the least common multiple of 8 and k(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 122, 224, 326, 428, 530?\n\"Answer: 102*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5\/2 + 6*v**4 + 6*v**3.\nAnswer: 3*v**3*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -1083?\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -4 - 0 - -1. Let v(m) = -3*m**3 + 4*m**2 + 3*m + 1. Let l be v(c). What is the nearest to -0.3 in 1\/7, l, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000586198251 to 6 dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9667*g*n*s**2*z - 3*g*n*s**2 - 2*g*n*z - 16898*g*s*z - n*z wrt s.\nAnswer: -19334*g*n*z - 6*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11778.\nAnswer: 2, 3, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3 + 1460803260*p**2 - 133371636007065852*p + 133371634546262596 = 0. What is p?\nAnswer: 1, 182600407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*r - 16. Let g be (8\/2)\/r - 2. Let s = 203.02 - 203. What is the closest to 1 in 3\/5, s, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8556000 to the nearest one hundred thousand.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(-13*2\/(-715))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1065 - -1093. Solve 3*o + 3*f = -6, -o + 3*f = p - 30 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**4\/24 + f**2\/2 + 1. Let w(p) be the second derivative of l(p). Let n(b) = 4*b**2. Give w(n(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(1300) - 4*-4*sqrt(1300))*-5 + -3)**2.\nAnswer: -28177647 - 35700*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*n = 128*n - 6. Let o be -1 - -3 - 367\/145. Let q = o - 2\/29. Which is the biggest value? (a) 0.3 (b) q (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-14) + 123\/21. Suppose v = 5*l - 2131, 857 = k*l - 4*l - 5*v. What are the prime factors of l?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 5. Let t be m(5). Suppose -3*i + 8 = t. Let v(j) = j**2 - 4*j + 4. Let h be v(3). What is the nearest to h in 2\/11, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -1.5. Let u = 11.9 - -43.1. Let s = u + -55. What is the smallest value in x, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*h**2*y**2 - 4*h**2 + 2*h + 34*y**2 - 8 wrt h.\nAnswer: -56*h*y**2 - 8*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101607, 203237, 304867, 406497, 508127, 609757?\nAnswer: 711387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18328456 to the power of 1\/2, to the nearest integer?\nAnswer: 4281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 4, -2*c + 19*h - 4 = 21*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 3*i**4\/2 + i**2\/2 - i. Let v(p) = -p**3 + 3*p**2 + p - 1. Let o be v(0). What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6803283 divided by 1?\nAnswer: 6803283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to 3\/26968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 4*u + 94*u - u + 26.\nAnswer: 89*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27*y + 18. Let v be c(-9). Calculate the common denominator of v\/10 - 4\/(-2) and 1\/(-44)*(35 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(0*x + 5*x - 2*x) + (0*x + 3*x - 5*x)*(-4 + 2 - 2).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a + -51?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**5\/20 + l**2 - 2*l. Let q = -469 + 474. Calculate the lowest common multiple of w(0) and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let d(w) = 6*w**3 + 2*w**3 + 0*w**2 + w**2. Calculate d(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/33? (a) 2\/7 (b) 4 (c) 0.08 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 339471164 a multiple of 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -6. Let v = -10.3 - -10.6. Which is the smallest value? (a) v (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -102. Which is the nearest to 1? (a) 3 (b) -1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**2. Let d(u) be the first derivative of u**3\/3 - 20. Give -21*d(r) + 3*v(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -17\/2714 (b) 0.2 (c) -2\/11 (d) 5\/4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -35. Let p be z\/27 - (-114)\/(-27). Is p less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 26. Let n(k) = k + 14. Let t(u) = -25*u - 385. Let m(x) = 165*n(x) + 6*t(x). Calculate q(m(p)).\nAnswer: -450*p**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3414891602791 - -0.008.\nAnswer: -3414891602790.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.6 + -7. Sort j, -3, -6.\nAnswer: -6, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(5\/10)\/(6\/(-3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3508 divided by 81280\nAnswer: -877\/20320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3. Let v(w) = 118*w**3. What is 6*m(x) - v(x)?\nAnswer: -124*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751781672.\nAnswer: 2, 5743, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t. Suppose 0 = -4*l - t*x + 2*x + 38, -l = -x - 8. Let r = 24 - l. Solve 2*h - 5*q + 0*q = -r, -2*q = -3*h - 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.35 - 0.35. Let k = -6 + 10. Let u = f - k. Which is the nearest to u? (a) -1 (b) -0.2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0983720878 rounded to four dps?\nAnswer: 0.0984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55224422 and 556?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 133, 5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-15)*-3 - 48\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225956 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91849 - -25442133\/277. Let p be 7\/(-35) - (1 + 177338\/(-88640)). Let z = b + p. Find the common denominator of z and 59\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - 63 - (-6 - -26).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**8\/1680 + h**4\/12 - h**3\/3 - 4*h**2. Let l(z) be the first derivative of f(z). Find the first derivative of l(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 10 = 2*l, 38*t = -38*t + 190*t + 2*l + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6 - 64\/(-6). Suppose 8*u - 3*u = -w. Let b be -2 - (-6)\/(1 - u). Solve -5*m + m + 12 = b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 3. Suppose 0 = g, -2*n - 2*g = 3 - 1. Let h be 3\/(-6) - 9\/(-6). Let a be (h - -1 - -4)\/n. Give y(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3406 = -6*f + 3314. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 896*k - 292*k - 6 - 588*k.\nAnswer: 16*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -3 (c) 0.016 (d) 5 (e) -9 (f) -13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 122*i**2 + 2*i + 674*i**2 - 5*i.\nAnswer: 796*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -16049.0896 to the nearest integer.\nAnswer: -16049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2228 - 2264 - 2198 + 6690 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*3\/(-9) + -36. Let a = -22 - v. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2*b + b - 1, 4*w - 4 = 4*b. Suppose 0 = -2*m + 5*x + 64, 0*x - 4*x = w*m - 100. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/60 - s**4\/12 + s**3\/6 - 22*s**2 + 35*s. Let v(r) be the first derivative of u(r). Factor v(q).\nAnswer: (q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 58\/5, 2\/21, 2\/5 in decreasing order.\nAnswer: 58\/5, 2\/5, 2\/21, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-6*sqrt(500)*-1 + 1*(sqrt(500)*2 + sqrt(500) + sqrt(500)))**2 + 1).\nAnswer: 300012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*s - 2 = -7*p, 0 = -p - 3*s - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -113*c**7\/42 - 11*c**3\/6 + 2*c**2 - c - 122. What is the second derivative of p(x) wrt x?\nAnswer: -2260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41517962.\nAnswer: 2, 43, 482767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*v = 336*v - 144 + 489 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (455 - 464) + -3 + 0 - -90.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + k**2 + 2*k - 7. Let p be z(0). Let a be p\/(7\/(-6))*(-1)\/2. Sort a, 5, 17.\nAnswer: a, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 3939?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -408 (c) -66 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 - s. Let a(t) = -462*t**3 - 198*t. Calculate 4*a(x) - 792*k(x).\nAnswer: 528*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9485, -9482, -9477, -9470, -9461?\n\"Answer: n**2 - 9486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 4*l**2 - 7*l - 24. Let b be d(-9). What is the highest common factor of 51 and b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**5\/80 + 9*w**4\/32 - 9*w**3\/2 + w**2 - 2. Factor c(q).\nAnswer: 3*(q - 3)*(q + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 248008, 3.\nAnswer: -3, 2, 3, 5, 248008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -z + 2, d = 2*z - 3*d - 8 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*a**3 + 1144*a**3 - 803*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8294567 and 2569?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o, -4*o + 73 - 71 = 5*a. Solve -2*w + 14 = 3*m, 304*w - 302*w = -m + a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19352 and 29028.\nAnswer: 58056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 - 29*y**3.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3500 and 113000.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -396, -387, -364, -321, -252?\n\"Answer: m**3 + m**2 - m - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2124 (base 7) to base 12.\nAnswer: -529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q - 5. Let l be r(-7). Let j be (-4)\/(-18) - l\/(-9). Suppose -j - 46 = -3*d. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 184 - 362 = 0. Let c = 93 - o. Solve 5*a + 0*a - c = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-14)*-8 + 80\/2. Suppose q - d = 4*p, -p = -0*q - q + 6. What is p rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562184461 to the nearest integer?\nAnswer: 23710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12 and 19\/696*(2983\/(-209) - (-15)\/55)?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000278651932 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b36c + -86c?\nAnswer: -1bc0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-3\/4)*x*x)\/x**1)**(-7))**(-50) assuming x is positive.\nAnswer: x**(1925\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1606539*k**2. Let r(w) = 2*w**2. Give t(r(m)).\nAnswer: -6426156*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.9 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176 - 1214\/7. Let t be 5 - (6 - -4) - 7 - -6. Let a(v) = -8*v - 45. Let x be a(t). Which is smaller: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 1\/5358903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:34 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 5*u + 96. Give h(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 1)*(1159 + 42*m - 1159)*(3*m**2 - m**2 - 4*m**2) - 1 + 1 + 2*m**3.\nAnswer: -502*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1542, 6081, 13636, 24201, 37770?\n\"Answer: -s**3 + 1514*s**2 + 4*s + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 9:06 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 25*c = 25. Suppose v + 205 = c*n, -5*v - 25 = -0*v. Calculate the remainder when 157 is divided by n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k + 2*q + 7 - 140, 3*q - 91 - 35 = 4*k - 9*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1841\/5147?\nAnswer: -1841\/5147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 3:56 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.27 + 1134.\nAnswer: 1131.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(272) + -1 + -2 + 3*sqrt(272) + 2 + (2 + 0 + sqrt(272))*-6)**2*-1.\nAnswer: -9961 - 624*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/59 less than or equal to 121.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18223 and 3.575169?\nAnswer: 18226.575169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/5 + 92\/20. What is the third derivative of -28*j**4 + 16*j**2 + 19*j**y + 14*j**4 wrt j?\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/143 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782*f + 143*f - 13941 - 20922 = -7113 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6 = 0, 38 + 26 = q + 3*s. Let g = q + -38. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 458 = -n + 158, 4*n + 616 = 4*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 2\/15, -2\/17459, 5 in descending order.\nAnswer: 5, 2\/15, -2\/17459, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + w = -2*w + 4, -3*c + 28 = 4*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 757.8.\nAnswer: 6820.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62634 - 61?\nAnswer: 62583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 403302 a multiple of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 43 = l, -3*l + 53 = 2*k - 4*l. What is the highest common factor of k and 522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12036 and 146858?\nAnswer: 158894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 6*z + 6. Calculate q(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -254 - -267. Suppose -5 = -2*c - d, 3*c - 6591 = -3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 28 = 8*h. Suppose -4*p - 1733 = -3*l, 2*p = h*l - 3*p - 2312. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24738 and 16?\nAnswer: 197904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3905, 0, -0.5, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {p: 2, q: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 12*x + 5*a = -15, 4*x + 5*a + 15 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1958616*s**4 - 499*s + 3098 wrt s.\nAnswer: -23503392*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 - 94*a + 4. Let b(v) = 8*v**3 - 281*v + 12. What is 4*b(k) - 11*t(k)?\nAnswer: -k**3 - 90*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*(i*i*i**(2\/55)\/i*i)\/i)*i*((i\/i**16)\/i)\/i*i**(-7)*i*((i\/i**(2\/11))\/i*i)\/i*i assuming i is positive.\nAnswer: i**(-1222\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 1004*i + 19320.\nAnswer: 4*(i + 21)*(i + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 20 + 27)*(-15 - 14*c**4 + 15) + (-3*c + 3*c - 4*c**3)*(c - 4*c + 5*c) to the form f*c**4 + y + j*c**3 + w*c**2 + m*c and give f.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -23, -21, -5, 31, 93, 187, 319?\n\"Answer: g**3 - 2*g**2 - 7*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10876802 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let j(n) = -822*n + 2627*n - 885*n - 783*n + 5. Give q(j(k)).\nAnswer: 137*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 + 9 = 0. Suppose 2*q + 52 = i*p - 3*q, -2*p = 2*q - 24. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = -66*h + 1833103 + 1238441. List the prime factors of h.\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134 and 135206.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7099*a + 13353*a + 7*a**2 - 6254*a.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.78 + 3.22. Which is the closest to 0.1? (a) -3\/2 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20404*g + 20465*g + 1464 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6 - 0. Suppose -2*g + 2 = 0, -2*i = -0*g + 2*g - 12. Let a = i + 0. What is the remainder when a is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12576297 and 1355?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose 0*a - 2*h + 9 = 5*a, -5*a + h + 18 = 0. Let c(t) = -4 + 1 + t**a + 0 - w*t**2 - 2*t. Calculate c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25861924 divided by 5.\nAnswer: 25861924\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 436 (b) 0 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/5 - 2)\/((-15)\/(-200)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 15719267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozzzjo. Give prob of picking 2 z, 1 j, and 1 o.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3616 divided by 32.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1756.6 - 1758. Suppose 2 + 2 = -2*d. Which is the second biggest value? (a) g (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*q*s**2 - 6*q*s + 10373*s**2 + 13891 wrt s?\nAnswer: 38*q + 20746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**5\/10 + p**4\/12 - p**3\/6 - 3*p. Let t(j) = -897*j + 8074. Let s be t(9). What is b(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*m, -3*h - 2 = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/32*(-368)\/(-460)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4494793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 14) in base 9?\nAnswer: -741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8*(13\/4 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -1\/18*h**3 + 0 + 1\/180*h**5 + h**2 - 1\/120*h**6 + 0*h + 1\/24*h**4. Factor s(t).\nAnswer: -(t - 1)*(t + 1)*(3*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27528?\nAnswer: 2, 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 22. Let t = k - -14.2. Let r = t + -0.2. What is the nearest to -1 in -0.4, r, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -73. Suppose -z - 6 = -10*t. What is the derivative of 0 + 3*u**4 + 0*u**t + 2 + 6 wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/7 - 62*l**2 + 2978*l\/7 - 1380\/7 = 0. Calculate l.\nAnswer: -115, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1899.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 74*t**2 - 117*t + 1479. Calculate c(36).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, -19, -3.\nAnswer: -19, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 5*b + 46*h - 44*h, 0 = 9*b - 5*h - 221 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - ((-18)\/(-9) - 578*1). Let k = b - 1129\/2. Find the common denominator of k and -44.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 5*s - 3*x = -5, -8 = -4*x. Let i be s\/((-1)\/2 - -1). Suppose u - 78 = -i*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -603\/7. Let n = 7.3 - 7. Suppose 92 = 23*s + 23*s. Which is the third smallest value? (a) y (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11017 or -11018?\nAnswer: -11018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**3 - 1936*d**2 + 477*d - 56329. Calculate n(215).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 8*w + 16. Let z be p(9). Factor 6 - d**2 - 14 + z - 2*d.\nAnswer: -(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/9 + -97\/99. Sort -4, 1, m in decreasing order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2086*b - 22399 = 17235 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 1. Let j be -1 + (4 - -1)\/1. Suppose z + j*z = 15. Suppose -l = z*t - 3*l + 25, -5*l = -2*t - 35. What is m(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (4 + -6)) + -3 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = 4*x - 58. Let h = x - 92. Calculate the remainder when ((-62)\/4)\/((-2)\/12) is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 - (15 + -10) - (33 - 1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-21)\/(n*(n\/n**(-9\/7))\/n*n)*(n*n**8)\/(n\/n**2*n) assuming n is positive.\nAnswer: n**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:07 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1210.16\nAnswer: 2420.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18374897*d**4 + 324*d**2 + 181*d - 41 wrt d.\nAnswer: 440997528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 h when three letters picked without replacement from {h: 2, c: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 22*j - 33. Let v be k(-17). Let i = v - 34. What is the least common multiple of i and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/22)\/((19\/(-1254))\/(65\/(-156))).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -103. What is the lowest common multiple of g and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110517 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 13*s = 616. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/4*7 - -3. Let m = -18 + z. Let x(p) = 8*p**3 - 8*p**2 + 10*p + 10. Let l(k) = -k**3 + k**2 - k - 1. Give m*x(g) - 10*l(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4941 divided by -183.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b**2 + 5*b - 7. Let t = 9 + -6. Let q(k) = 4*k**2 - k**2 - 4 + 3*k + 3*k**2. Let f(p) = t*d(p) - 5*q(p). What is the derivative of f(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -157.3809604 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 16*j - 26. Determine s(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**5 + 655*x**4 - 19970*x**3 - 23970*x**2 + 105255*x - 61965 = 0.\nAnswer: -3, 1, 51, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 + 1. Suppose 5*x + 1286 = 166. Let d = x + 2462\/11. Which is the closest to d? (a) 2\/3 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from ubnbnz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 0*b + 2\/3*b**3 - 5 + 0*b**2. Let i(w) = 7*w**2. Determine i(q(t)).\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197817900*u**3 - 197817902*u**3 - 3*u + 3*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)*d**2*d*d)\/(d*d**(1\/2))**(2\/35)*(d**(-6\/5)\/d**(3\/7))**(-2\/99) assuming d is positive.\nAnswer: d**(10273\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1315 and 55\/2781488?\nAnswer: 13907440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(364)\/sqrt(252))\/((sqrt(128)*-4)\/sqrt(2)).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/68)\/(1 + 26\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 3 + sqrt(891)*-2 + sqrt(891))*5 + -5*-2*(sqrt(396) - (0 + sqrt(396))))**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 1, t: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*h - 38. Calculate the remainder when h is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 3*r + 4. Suppose -5*j + p + 110 = -p, -5*j - 5*p = -75. Suppose -l - 4*a - j + 5 = 0, 0 = -2*l - a - 9. What is o(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 = 8. List the prime factors of ((-6)\/(-4) + (-5 - h))*38.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290 (base 13) to base 11\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6957 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 - 6*u + 11. Suppose -l + 16 = l. What is the lowest common multiple of l and q(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 2:06 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312643 divided by -6?\nAnswer: -1312643\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-43\nAnswer: -2.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503996 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((sqrt(245) - 3*sqrt(245))*3 + 2 + 1*sqrt(245))**2*3).\nAnswer: -36780 + 840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85230 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 2 b when four letters picked without replacement from zeaaebebbwbb?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:08 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/((-14)\/(-6)) - (-78)\/18 - 7. Which is smaller: j or -4\/819?\nAnswer: -4\/819","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -575*w**9\/252 - 37*w**5\/4 - 73*w**2. Find the third derivative of f(j) wrt j.\nAnswer: -138000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -2*r + 12, -24 = -4*j + 4*r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*m + 438*m + i = 68, 4*m - i - 93 = 0. What are the prime factors of m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3795602, -7591288, -11386974, -15182660?\nAnswer: -18978346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-72))\/((-992)\/6696). Let d = 137.02 - 134. Let k = -0.02 + d. Put 3\/5, k, t in ascending order.\nAnswer: t, 3\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a (base 16) in base 6?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6679369.\nAnswer: 6679369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -5. Let h = c - 18. Let t(z) = -3*z**2 + 3*z + 1 - 2*z**2 + 7*z**2. Give t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2*p**4 + 3*p**4 - 2*p**4)*(-4 + 3*p + 4).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 38\/8)\/((45\/756)\/((-930)\/1085)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40635435017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-945))\/(((-4)\/(-40))\/(3\/(-12)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 2 + 45 + 5*d**2.\nAnswer: d**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 22*d**2 - 20654*d - 124427. Determine f(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k - 0. Find the second derivative of 31*t + 5 + 45*t**3 - 57*t - k*t**4 - 1 - 45*t**3 - 134*t**5 wrt t.\nAnswer: -2680*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 324*m. Let t(z) be the second derivative of 0*z**3 + 0 + 1\/12*z**4 + 0*z**2 + 197*z. Determine k(t(h)).\nAnswer: 324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (37 + -45 + 12)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2. Let k(i) = 100 - 530*i + 220*i - 100 - 507*i. Calculate k(z(r)).\nAnswer: 3268*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.121981064 rounded to three decimal places?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315536, -315538, -315542, -315548, -315556?\nAnswer: -315566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33150)\/2125)\/((-6)\/15)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:55 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1052 - 1044. Calculate the common denominator of (-53)\/3 - (2 + -1) and b - 16 - 77\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0406577 to three decimal places.\nAnswer: 6.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127087049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - l - 1 = -10*m, 3*m = 4*l - 18. Let s(p) = 8*p + 11. Calculate s(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3120*j - 47005. What is f(15)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = -15. Let i(o) be the second derivative of o**4\/12 - 5*o**3\/6 - 3*o**2 - 11*o. Is i(t) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1010001101111?\nAnswer: -1010001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - 1\/4. Let f(g) = g + 20. Let p be f(-16). Suppose p*a + a = u. Solve 3*v - 8 = b, a*b - 5 = -2*b - v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (410\/164)\/(10\/(-116))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11942 is divided by 279.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 65*h**2 + 8*h + 2. Let m be s(2). Is 278 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14401 + -10303?\nAnswer: 4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4\/p)\/p)\/p**(-4)*(p\/(p**(-2\/7)\/p))**(-3\/14) assuming p is positive.\nAnswer: p**(270\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4167687 and -22.\nAnswer: -21.5832313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.122 in -4, -1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2219*u**3 + 105*u**2 + 35*u + 105. Let g(s) = -3*s**2 - s - 3. Calculate -70*g(y) - 2*x(y).\nAnswer: -4438*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94338619 is divided by 730?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -316.912 - -317. What is w rounded to three dps?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/120 - y**5\/15 + y**4\/6 + y**3 + 2*y**2. What are the prime factors of j(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peampeopppvppm. Give prob of picking 1 a and 1 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/17 + -197\/51. Is -3 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-1))\/(486\/324). Solve 0 = -a*c - 3*i + 35, -2*i + 5 = -48*c + 47*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66626 is divided by 3838.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3411659100 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: Let w(n) = -16*n + 2. Let a(r) = 3. Let f(s) = -1. Let y(b) = -a(b) - 4*f(b). Let l = -17 - -18. Let v(j) = l*w(j) - 2*y(j). Let t(z) = 2*z. Determine v(t(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -10 + 6 + 3 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a = -5*y + 33, -a = y - 5. Let n = 15 - y. Suppose 0 = 5*s + z - 20, 4*s = -0*s + z + 7. What is the greatest common divisor of s and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 2*s + 3. Let c be b(-3). Suppose 3*x - 168 = -c. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.84 and 2?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/8886373 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.415 - -5\nAnswer: 11.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**7\/840 - q**6\/120 + q**5\/60 - 46*q**3\/3 - 43. Let s(y) be the third derivative of o(y). Give s(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.175588 to 1 dp.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -773 or -774?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tht when three letters picked without replacement from {t: 3, h: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46702, 46674, 46628, 46564, 46482, 46382?\nAnswer: 46264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*d + 3\/4*d**2 + 0 - 3\/4*d**4 + 1\/4*d**3 + 1\/4*d**5.\nAnswer: d*(d - 2)*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -10. Suppose 2*o - 4 - 4 = 0. Suppose 0*t = o*t - 104. What is the remainder when t is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400655 is divided by 132385?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 12*z - 5, -2*p = -4*z - 210. What is the remainder when p is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6 + 6. Suppose -5 = -3*j + 25. What is the common denominator of 103\/10 and 3\/a + (-6)\/j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**3\/3 + h**2\/2 + 4*h + 23. Determine w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 4, i: 6}. Give prob of sequence iwi.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 103837090 to the nearest one hundred thousand.\nAnswer: 103800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 4*y**2 - 398*y**3 + 416*y**3 - 2*y**2 in the form p + l*y**3 + r*y + j*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60863264, 60863261, 60863258, 60863255, 60863252?\n\"Answer: -3*y + 60863267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*w**3 - 4224*w**3 - 1390*w**3 - 6377*w**3.\nAnswer: -11836*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3088.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4029, 146, 24 in descending order.\nAnswer: 4029, 146, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88026, -352054, -792100, -1408164, -2200246?\n\"Answer: -88009*u**2 - u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29804559?\nAnswer: 3, 19, 522887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 458*l - 117 + 67 - 754*l + 1206*l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + 4 + -1*sqrt(684)).\nAnswer: -18*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 5*((sqrt(76) + sqrt(76) + 5 + 1*sqrt(76) - sqrt(76)) + sqrt(76) + ((sqrt(76) - (sqrt(76) + (-2 + sqrt(76) - sqrt(76)))) + sqrt(76))*-1))*1)**2.\nAnswer: 720*sqrt(19) + 7924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -47*a**3 - 11*a + 65. Let m(s) = 3*s**3 + 294 + 10*s**3 + 10*s**3 + 6*s - 326. Let n(r) = 6*f(r) + 11*m(r). Differentiate n(g) wrt g.\nAnswer: -87*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 3.98. Let t = 9 - 26\/3. Do r and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.271 - -167.271. Let q = 167.073 - c. Round q to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 11*n**2 + 13*n - 3. Determine s(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 5*f - 17 = 0, -7*f + 9*f = 4*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - -1. Let k(n) = -n - 30. Let y be k(-19). Let j be (-2)\/((w\/18)\/y). Solve l - 19 = 3*i, 3 = 5*i + 4*l + j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -7, -11, -17, -25, -35?\n\"Answer: -n**2 + n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {x: 4, k: 3, t: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i. Let p(z) be the second derivative of -z**5\/120 - z**3\/6 - 5*z. Let s(v) be the second derivative of p(v). Determine r(s(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1b0?\nAnswer: -1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38 + 0 + 1 + -2. Suppose 0 = -5*m - 12 + s. Suppose -8 = -4*k - 4*u, -m*k + u = -4*u. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1 - 4)*9\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 7*b - 60. Let l be d(13). Factor -8*h - 8*h - 93*h**3 - 90*h**3 + l*h**3.\nAnswer: 4*h*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11385 and 3.\nAnswer: -34155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -925584, -1851245, -2776902, -3702555, -4628204, -5553849, -6479490?\nAnswer: -7405127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 228102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 21.000018. Round r to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -152. Suppose -5*v = -b - 125. Let c(h) = 2*h**3 - 3*h**2 - 2*h - 4. Let y be c(3). What is the highest common divisor of v and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 505647, 505635, 505609, 505563, 505491, 505387, 505245, 505059?\n\"Answer: -f**3 - f**2 - 2*f + 505651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-6 - -5 - 5) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 294000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*p + 6. Suppose 3*i = 2*c + 8, 5*i - 4 = 5*c + p. Solve -c*z = 4 - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553*z = 4547 - 2994 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 173754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -742, 5, 0.1, -4\/3, -1\/2 in ascending order.\nAnswer: -742, -4\/3, -1\/2, 0.1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/55*(-77)\/28?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 8*x - 40. Calculate the smallest common multiple of 9 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23834039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-4 - -7) - (3 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.17 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -15*f**6\/2 - 12*f**5 + 5*f**4\/2 + 20*f**3\/3 - 5*f**2\/2 - 9. Solve y(s) = 0 for s.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((584\/511)\/((-1)\/(-84)))\/3\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-13)*n)\/n*n\/(n*n\/(n\/n**(2\/91))*n))\/(n**(1\/37)\/n**(-14)))**(2\/3) assuming n is positive.\nAnswer: n**(-188882\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6240 divided by -8.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4632144?\nAnswer: 2, 3, 11, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**5\/30 - 12*d**2. Let v(o) = 9*o**2 - 4*o + 5. Let b(q) = -q**2 + q - 1. Let f(r) = 4*b(r) + v(r). What is a(f(m))?\nAnswer: -50*m**4 - 20*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 167593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/173, -0.1, -3, 11, 14\/19, 0.\nAnswer: -3, -0.1, 0, 2\/173, 14\/19, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 12. Sort -2, p, 2.\nAnswer: -2, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.568 + -1.568. What is the closest to f in -2\/17, 3, -3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 22. Let s = -19 + 11. Calculate the smallest common multiple of 0\/(-6 + 3) - s and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 20*d**2 + 14*d - 203. Let h be i(20). Calculate the greatest common factor of 469 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84573 and 7.89?\nAnswer: -667280.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9448.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgb when three letters picked without replacement from mgpbbzb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 v when four letters picked without replacement from bbbvbbvvbbvbbb?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(110)*-3)\/(sqrt(1440) + -6*sqrt(1440)*2 - sqrt(1440) - sqrt(1440) - sqrt(1440)).\nAnswer: 3*sqrt(11)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v + v + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 164 + 214 = 0. What is the remainder when 108 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -76, -1506, -4\/13, 4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/(-9) - (-1114)\/270) + -2. Let w = -2\/27 - t. Let q = 0.9 + 0.1. Which is the third smallest value? (a) w (b) -0.9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5363415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11 - 4*a + a**2 + 4 + 5*a + a. Let q be k(-9). Find the common denominator of 53\/28 and (-5)\/40 + 51\/q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*z + 98*z = 29*z + 2247 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 355532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86391020*b**3 - 5*b**2 + 2063843 wrt b?\nAnswer: -518346120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3 - 4)\/(-1). Let n(a) = 2*a - 5. Let y be n(5). Solve -y*h = 15 + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 23)*(-7 + 2 - 4)*(-q**3 - 1 + 1).\nAnswer: -135*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -4*f - f. What is the remainder when f is divided by ((-16)\/(-5))\/(-2)*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237 * 1036131.\nAnswer: 245563047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, t: 1, l: 4, n: 8}. Give prob of sequence ln.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8 and -3 - 1047\/(-288)*28\/21.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100073*v = -100009*v + 704 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v + 12*v + 2446 = 70*u, v + 15*u = 12*u + 101 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7.7*-0.05331128\nAnswer: 0.410496856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*x + 18 + 3 = 0, -5*z = 4*x - 33. Let u(m) be the second derivative of -m**3\/6 + 3*m**2 - 6*m. Let s(l) = -l + 5. Determine z*s(b) - 4*u(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 4*j - 2. Let k(n) be the first derivative of -n**4\/2 + n**3\/3 - 5*n**2\/2 + 3*n + 48. Let l be (11 - (-333)\/(-27))*6\/4. Give l*k(p) - 3*u(p).\nAnswer: p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3. Suppose 4*o - 7 - 1 = v. Suppose -6 + 14 = 2*z. Solve 2*p - z = -o*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164793?\nAnswer: 3, 163, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -37\/41 (b) 24 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25450 = -7*o + 2*o. What is o rounded to the nearest one hundred?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111771780?\nAnswer: 2, 3, 5, 467, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1092814\nAnswer: -4371256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 751 - 751.084. Let w = n - -0.014. What is the second smallest value in w, -4\/5, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*z = 16, 4*m = -3*z + 191 - 166. Is m less than or equal to -2\/24803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -695*r**3 - 36*r - 24 + 70*r - 34*r + 41*r**2 + 32 wrt r?\nAnswer: -4170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5931418347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 - 6*o**2 - 4*o**2)*(27*o**2 + 10*o**2 - 11*o**2 - o) as f*o**4 + v + c*o + w*o**2 + a*o**3 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - h**2 + h. Let t(x) = 9*x**3 + x**2 - 5*x + 5. Let f(c) = t(c) + 5*u(c). What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Let y = x + -5. Find j such that -2*j**3 + y*j + 2*j**4 + 0*j**4 - 3*j**2 + j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1193373 grams in milligrams?\nAnswer: 119.3373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) -0.5 (c) -1.9 (d) 261\/2 (e) -0.3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 200 = 170. Suppose -4 = -3*y + t. Which is the third smallest value? (a) -1.4 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*w**2 + b**2*w + b*w - 1889326*b + 4986*w**2 + 10*w - 128 wrt b?\nAnswer: 4*b*w**2 + 2*b*w + w - 1889326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2216*b**3 - 5 - 2207*b**3 + 4 to the form f*b**3 + r*b + m*b**2 + y and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41*u - 14*u - 81*u)*(1 - 2 + 2) + 16*u + 23*u - 8*u to the form g*u + v and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**5\/15 + m**2 + 11*m - 11. Let p(b) be the second derivative of y(b). Let v(f) = 8*f. Give v(p(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.4 - 3. Let l = 39.2 - 39.3. Which is the nearest to -1? (a) -9 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/3 + (-4)\/6. Suppose 81*g + 801 - 2988 = 0. Let s = g + l. Solve -5*y - 9 = 5*f + 26, y - 5*f = s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/50 (b) -2\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 1 + -4 + (sqrt(3) - (1 + (-1*sqrt(3) - sqrt(3))))**2 + 6*(1 + -1 + sqrt(3)).\nAnswer: sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-14) - 8\/(-56). Let t = -1.01 + -10.09. Let s = -11 - t. Which is the closest to s? (a) 2\/15 (b) 3\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-189)\/4 + -2. Let a = h - -47. Let c = -0.09 - -0.49. What is the nearest to 2 in 2, c, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6, -38*g + 37*g + 3*u + 54 = 0. Suppose 50 = 5*w + 5. Calculate the smallest common multiple of g and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132645941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 234 (c) 9\/8 (d) 4\/9 (e) 0.3 (f) 1 (g) 36\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d + 10. Let y be 3 - (-24)\/(-2 - 1). Let i = y + 10. Solve -i*t - 40 = 2*v + 3*v, -2*v = -4*t - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020012022110 (base 3) in base 2?\nAnswer: 10011111100001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-296)\/148*13\/4*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 454051 and 6590.\nAnswer: 4540510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -366.\nAnswer: 365.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a + t - 15, -4*a + 4*t + 12 = 0. Suppose -3 = -3*h - 2*b, -a*h + 2*h - 4*b + 1 = 0. Let l(q) = q**2 + 5*q + 1. Let g be l(-5). Is g <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 360633 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**4 + 4*q**4 - 2*q**4 + (3*q**4 + 10*q**4 - 3*q**4)*(1 - 6 + 3) + (63*q**3 + 58*q - 58*q)*(0*q - q - q).\nAnswer: -148*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3233.78 - -3234. What is the closest to -0.5 in a, -1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 10, f: 8}. Give prob of picking 1 f and 1 g.\nAnswer: 80\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 46.19125 tonnes?\nAnswer: 46191250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119 + -180. Let l = 296 - r. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -9. Let d = a + -2. Let x = d + -7. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -0.01933?\nAnswer: 2.01933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -359*p**5\/5 + 1371*p**2\/2 - 1783*p. Differentiate j(r) with respect to r.\nAnswer: -4308*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -233 + 112?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 276634349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75175*w**4 - 9*w - 101 wrt w.\nAnswer: 902100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -0.2. Suppose 655*m = 663*m + 16. What is the third smallest value in g, -1\/5, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41436883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 16.\nAnswer: -29\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/(2*(-3)\/12). Let h = 2348\/7 + n. Are -1 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 31, 1.\nAnswer: -3, 0, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/(-8))\/((-5)\/(5\/(-2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*j + 185*j - 5*s + 12, 5*s - 9 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2879\/618 - -18\/103. Let b be (-217048)\/384 - 2\/6. Let d = b - -2253\/4. What is the common denominator of d and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = 8. Find the common denominator of v and (-1539)\/108 - (-12)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 14 + -1 + -5. Solve 2*a - 4*a = -5*u + 5, -c = -5*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 235*v + 12920. What is d(-55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 5*t, t - 9 = -2*b - 0. Suppose -z = 0, b*r - 5*r + 2*z = -16. Calculate the remainder when 94 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1364244?\nAnswer: 1364243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 8*f + 24. Let m be h(-14). Suppose -4*l + m + 1008 = 3*k, -l + 5*k + 351 = 0. What is l rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018964 to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 + 6*g + 5. Determine x(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6 + 2*f**5 + 14157*f**3 - 2159*f**2 + 7*f + 1?\nAnswer: -120*f**3 + 120*f**2 + 84942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, -1.8, -0.295, -0.4, 4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1072.5 - 1072. Which is the second biggest value? (a) q (b) 2\/109 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/611688 and -93\/2590280.\nAnswer: 2572148040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 1 + 0*u**2 + 5 + 3*u**3 to z*u**2 + s*u**3 + h + v*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-9)*(-5)\/(-30). Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 18*d - 70. Let u(k) = 10*k - 186. Let j be u(19). Give o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**4\/24 + 13*b**3\/6 - b**2. Let s be u(8). Suppose -s*v + 0*j = 5*j - 5, 3*v + 1 = -5*j. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141384 = -156*m - 144036 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4*(2 - -38 - 11696\/129)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 813.\nAnswer: -7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = -5*d + 4*c - 0*c, 5*c = 3*d + 161. Let v = -44 - d. Is 8 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 72, 178, 336, 552?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4\/3, 1, -11\/51?\nAnswer: -11\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y**2 - 7 + 0 + 5 - 7*y**2. Let r(s) = -2*s. What is g(r(u))?\nAnswer: 44*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 + 2*p**2 + 2*p - 2. Suppose -o - 6 = -8. Let s(f) = -110*f**3 + 45*f**2 + 45*f - 45. Give o*s(q) - 45*z(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221517724?\nAnswer: 2, 55379431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 5*n**2 + 6. Let p be x(-5). Let y be ((-10)\/6)\/(-7 - (-185)\/30). Let k(h) = -2*h + y*h + 2*h - 3*h + 5. What is k(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*t - 31 - 74. Let m(l) = -13*l - 9*l + 3*l - t*l. Let b(k) = 9*k. Calculate m(b(z)).\nAnswer: -216*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 6*u + 3. Let d be w(-6). Let q = d - 24. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13356555.\nAnswer: 3, 5, 890437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 677 - 111. Let k(f) = -r*f + 266*f + 278*f. Let g(b) = -4*b. Calculate k(g(d)).\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - 4. Let k be (-1101)\/(-7) - (-6)\/u. Suppose -3*m - 2*m + k = -4*p, 3*p = 6. Calculate the greatest common divisor of 11 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, 33, 357, 825, 1443, 2217?\nAnswer: 3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 17*p + 3*h = 245, -h - 1145 = -5*p. Suppose -4*k + 5*k + 3*l - 43 = 0, -k + 5*l = -51. Calculate the greatest common divisor of k and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 12:01 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 times -416.9\nAnswer: 14.1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/4991 (b) 1\/4 (c) 0.5 (d) 3761 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 2*(-1414)\/20. Let p = y + -141. Find r such that -2\/5*r**3 - 3\/5*r**2 + 0 + p*r + 3\/5*r**4 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302.4 - 302. Let n = -0.6 - -0.7. What is the third biggest value in -46, f, n?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209))\/sqrt(11) + 3 - ((1*sqrt(304))**2 + -1).\nAnswer: -300 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2293\/5 + 460. What is the common denominator of 41\/33 and o?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 94*h**2 - 602*h + 5. Calculate q(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.117 and -0.4?\nAnswer: -4.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 1. Let f be m(-1). Suppose f*z - 147 = -42. What is the greatest common divisor of 189 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275036, -275035, -275034, -275033, -275032, -275031?\nAnswer: -275030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3 = 12. Solve 0 = 2*t + 3*b - 5, -2 = -5*b + a*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*o + 5*z - 35 = -248*o + 7*z - 5*z, 2*o = 5*z + 11 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18\/5, -3, -1\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3942004 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5735 and 6882.\nAnswer: 34410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/130 - (-11)\/(-29 + 84)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -115*y**3 + 32*y**2 - 1956*y - 11. Let l(z) = -42*z**3 + 11*z**2 - 652*z - 4. Determine 11*l(h) - 4*w(h).\nAnswer: -2*h**3 - 7*h**2 + 652*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-7)*2442)\/(317\/(-2219)). What is the greatest common divisor of p and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkkydkkxoykyk. Give prob of sequence xydy.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 24*u**3 + u**2 - u. Let d be n(1). Suppose -6 = -2*w + d. Find the third derivative of -4*t**3 + 6*t**2 + w*t**3 + 4*t**2 wrt t.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.9. Let v be (-4)\/6 + (15\/(-9))\/5. Which is the second biggest value? (a) h (b) 3 (c) -3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htva when four letters picked without replacement from {v: 4, r: 1, t: 1, h: 6, a: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 79*c**2 - 162*c**2 - c**2 + 83*c**2. Let h(w) = 11*w**2 - 2*w - 2. Let a(y) = 34*y**2 - 7*y - 7. Let f(s) = 4*a(s) - 14*h(s). What is f(m(t))?\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + -91. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23730\/(-84))\/(-113)*(-5)\/((-50)\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -10*x + 1. Let f be g(-21). Put 1, f, 2, 0 in descending order.\nAnswer: f, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 39*s**2 + 26*s + 122. Let g be o(22). Suppose 5*x + 3*l = 114956 - g, 3*x - 57249 = 4*l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148)\/(-28) + 0 + -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s - 18 + 2*s - 13*s + (-s + 2*s + 2*s)*(3 + 0 - 1) - 2*s - s + s to j*s + d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(11)*-1))\/sqrt(6).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {s: 1, p: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/52*(-5 - (-12 + 5)). Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 72. Suppose 0 = 5*c - 3*h - 316, -x*h - 9 = -c + 57. Calculate the greatest common factor of c and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g + 3*g - 14 + 15)*(-2*g + 3*g + g) to the form x*g**2 + u*g + m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -379?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2337765 and 4.\nAnswer: 2337769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 3*f = 2*x - 12, 0 = 2*f + 8. Suppose 5*m - 8*m + 6 = x. Solve 0 = 3*y - m*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -17*i**2 - 4*i - 11. Suppose -3*q - 14 = 4. Let w(d) = 8*d**2 + 2*d + 5. Suppose -2*z - 29 = 3*b, -149*z + 150*z - 8*b + 5 = 0. Give q*v(g) + z*w(g).\nAnswer: -2*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = 8*j + 18. What is the first derivative of -109*h - j + 27*h + 88 wrt h?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -f + 2*k, 4*f + 10088*k - 48 = 10076*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23751 and 8361.\nAnswer: 22064679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 4*i - 23, 5*i + 0*z = -5*z + 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 34 - 66*d - 249*d - 215*d as z + c*d and give c.\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3382*g*v**3 - 2*g*z + v**3 + 4*v**2*z + 158*v*z wrt g?\nAnswer: -3382*v**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 40, -34*x + 32*x + 4*s = 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/((-1)\/6). Suppose -y*q = 5*s - 50, -2*q + 66 = 3*q + 4*s. What is the greatest common divisor of 110 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 - 2*w**3 - w**3)*(1 + 0 + 0) + w**2 - w**3 - w**2 + (532*w**2 + 402*w**2 - 242*w**2)*(5 - 5 + 4*w).\nAnswer: 2766*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - b + 2 = 13, -25 = -3*c - 4*b. Suppose -y + 4 = -4. Suppose -y*i + 7*i + 6 = 0. What is the greatest common divisor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -12 + (1 - 0) + -13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -ab3110 (base 12) to base 11\nAnswer: -1599994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11308326, 22616655, 33924984, 45233313, 56541642?\nAnswer: 67849971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 - 84*i.\nAnswer: -84*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*t + 2*t. Let p be ((-2)\/(-3))\/(8\/(-36)). What is the smallest common multiple of t and (-20)\/15*(p - 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5895 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 1, q: 2, p: 1, y: 6, i: 7}. Give prob of picking 2 f and 2 q.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95cacc (base 13) to base 12.\nAnswer: -1214960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from jsssasjajajsajajasj?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 1. Let z(f) = 0 - f + 0*f - p. Let u be z(-13). Solve 0*w - 5*w = u, l + w = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69914 is divided by 34470.\nAnswer: 974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 78 + -8 + 24 + 5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-3\/2))\/m**(-5) assuming m is positive.\nAnswer: m**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94069, -376204, -846403, -1504666, -2350993, -3385384, -4607839?\nAnswer: -6018358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3577886 and 28550?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((372\/(-465))\/(28\/10)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 158*l - 5 + 4 - 261*l**2 - 1.\nAnswer: -261*l**2 + 158*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13138863707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c**(-7)*c)\/c)*c*c\/c**(1\/3)*c*c*c*c*(c**(1\/5)*c)\/c**(-1\/3))\/((c**(2\/7))**(-44)*(c**(-2))**(3\/11)) assuming c is positive.\nAnswer: c**(11287\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4702389 by -1.\nAnswer: 4702389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t + 0*t)*(t + 2*t - t) + 11*t**3 + 203*t**2 - 203*t**2 + (-28*t + 362 - 362)*(2*t**2 + 2*t**2 - 6*t**2).\nAnswer: 63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 3. Let l be h(-3). Suppose l = 4*c - x - 143, 2*c + 3*c - 5*x - 160 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -16.9. Let w = o - 17.00000088. What is w rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Suppose 4*g = o - i + 1, -2*g + 8 = 2*o. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4364506?\nAnswer: 4364504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(170) - sqrt(170)*3)*-3)\/((sqrt(250)*6 - sqrt(10)) + sqrt(10)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 18 and 123\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2. Let j(d) = -4526 + 4526 + 9*d. Give j(i(n)).\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 3035*y - y**2 + 3035*y. Let d(l) = 13*l. Calculate d(p(i)).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 8*s**2 + 5*s + 7. Let y be j(-9). Suppose 4*z - 180 = u + y, 226 = 4*z - 2*u. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3936084 by 4.\nAnswer: 984021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15622926 * -0.3.\nAnswer: 4686877.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l**3 - 3*l**2 + 195*l + 1. Let w(j) = -11*j**3 - 5*j**2 + 292*j + 2. Determine -8*n(h) + 5*w(h).\nAnswer: h**3 - h**2 - 100*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.45 + -24.6525. Let o = -3.2 - n. What is o rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -18. Let b = -152 + 172. Suppose -u = -6*u + b. Solve -u*y = -2*y - h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(325))**2*1 - (-2*(sqrt(117)\/sqrt(9) + 1))**2) + -2.\nAnswer: -8*sqrt(13) + 11642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 223 = 7*s - 88 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(6\/17))\/(t\/(t\/t**9)) assuming t is positive.\nAnswer: t**(-125\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 252542*l**3 - 27*l - 26235659 wrt l.\nAnswer: 757626*l**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2816 at most -2818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2304) + (sqrt(2304) - -1*sqrt(2304))*-2))\/((-6*(sqrt(96) - (-2*sqrt(96) - sqrt(96))))\/(3*(sqrt(192) - sqrt(12)))) + 5.\nAnswer: 5 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -201, -213, -213, -195, -153, -81, 27?\n\"Answer: t**3 - 19*t - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 18. Give m(-9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8228*n**6 - 2*n**5 - n**3 - 55855*n**2 wrt n.\nAnswer: -987360*n**3 - 120*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105\/(-15)*36\/(-14) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1)**2 + 3.\nAnswer: -12*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 3. Let c(l) = -2 + 0 + 0 + 2*l. Calculate the remainder when 40 is divided by c(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838489 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from bdfddfhwfhzzhb?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -30. Let m = n - -17. Factor -12 - 2*u**3 + 36*u + 12*u**m - 39*u**2 - 3*u**4 + 8*u**3.\nAnswer: -3*(u - 2)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -23\/7*m**3 + 1\/7*m**4 + 24*m**2 - 320\/7*m - 512\/7 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7731 (b) -1\/11 (c) -6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a day in hours?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 53980*v + 145692020 = 0. What is v?\nAnswer: 5398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*a - 16, -5*a = 5*o - 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1060, -3576, -7512, -12868, -19644, -27840, -37456?\n\"Answer: -710*o**2 - 386*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 6*z. What is the least common multiple of s(4) and 29?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -5*q - 0*x, 4*x - 18 = 2*q. Let i = 6 + q. Let k be 2\/i + 36\/10. Solve 4*z = -0*z - 5*n - k, -z + 3*n - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 10*r**2 + r + 8. Let i = -82 + 77. Let g be (4\/i)\/((-20)\/(-250)). Determine s(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481578.\nAnswer: 2, 3, 80263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-10)\/160*(-2)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*k*x**2*z + 2*k*x**2 - 2*k*z + k + 40344*x**2 + 845*z - 811 wrt x.\nAnswer: 56*k*x*z + 4*k*x + 80688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - -22.17. Let r = -36.9 + j. Round r to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffdffffffffffffdf. Give prob of sequence fdfd.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**4 - 4*p**2 - 2*p - 27*p**3 + 26*p**3 - 15*p + 3*p**2 to the form f*p**3 + l*p**4 + t*p + h + q*p**2 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -806*j. Let h(y) = 80*y + 5. Calculate h(m(z)).\nAnswer: -64480*z + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1517, -19, -73 in decreasing order.\nAnswer: 1517, -19, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227 a factor of 13019697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.10349476 to 4 dps.\nAnswer: 1.1035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.103706*1.2.\nAnswer: -0.1244472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**6\/45 - q**4\/9 + q**2\/3 - q + 1. Let d(h) be the first derivative of k(h). Factor d(v).\nAnswer: 2*(v - 1)**2*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 7. Let q(k) = k**2 - 3. Let r(o) = 3*c(o) - 7*q(o). Let b(g) be the first derivative of -154*g**2 - 44924. What is b(r(l))?\nAnswer: 308*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*r = -80, 0 = -0*d + 4*d + 2*r - 72. Suppose 2*g = -5*b + 16, -2*g - 4*b = -d + 3. Calculate the least common multiple of 1 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 542 = -5*k + 580, -2*k + 32 = 5*i. Solve -k*w + 347 - 383 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 607928273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*u**2 + 30*u**2 + u**3 - 16*u**2)*(-7 + 1 + 8 - 5*u).\nAnswer: -5*u**4 - 8*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jssqovshjosvqs. Give prob of picking 1 q and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.42315029 rounded to 4 decimal places?\nAnswer: -17.4232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**2 - 21*a - 28. Let v be t(-5). Sort v, -1, 27 in decreasing order.\nAnswer: 27, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -38*d**3 - 3*d**2 - 3*d - 3. Let z(x) = -75*x**3 - 5*x**2 - 5*x - 5. Give -5*i(l) + 3*z(l).\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*o - 10, 5*o - 5*m + 16 - 6 = 0. Let d = -185.0396 + 185. Let i = d + -0.5604. What is the second biggest value in 2, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3 = 5*c + 14, z = 4. Let l = -17 + 43. Suppose -b + c = 5*h, -2*b - 4*h + 6 = -l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -44757, -1, -1854 in descending order.\nAnswer: 1, -1, -1854, -44757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.15892mg to tonnes.\nAnswer: 0.00000004215892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436411423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4071 + -4156. Which is the biggest value? (a) -1 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -514 and -7.7.\nAnswer: 3957.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655108620?\nAnswer: 2, 5, 11, 19, 395959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.7, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 46*a**2 + 28*a - 163. Does 10 divide t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - 4 + 4)*(-7 + 7 + 7*j) + (-2*j + 0*j + 6*j)*(-5*j**2 + 2*j**2 + 2*j**2).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 12:10 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - -35)*2\/(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1572 by 2.\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from puaipppppuax.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14871 and 0.24050852.\nAnswer: 14871.24050852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -35, -65, -97?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9774 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 + 17*v**3 - 3*v**3 - 19*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-22)*q*q*q*q**28)\/(q**(-6\/11)\/(q\/q**(-2\/63))) assuming q is positive.\nAnswer: q**(8716\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -517282346, -517282349, -517282352, -517282355, -517282358, -517282361?\nAnswer: -517282364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f - 15*f + 4*f**2 - 6. Suppose 3*n - 16*n + 104 = 0. Let a be o(n). Round a to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 299\/8 and 37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 5*c - 36. Let q be b(9). Suppose 2*m - 4 = -3*o + 1, 2*m = o + 9. Put q, m, 5 in ascending order.\nAnswer: q, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.67 (b) -1723 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 8. Let r be 44\/10 - 15\/(-25). Let m be j(r). Suppose 3*d = -s + 8 + 8, -4*s - m = -d. Calculate the remainder when 26 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4684916 to the nearest integer?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92c (base 14) in base 13?\nAnswer: a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdyy when four letters picked without replacement from {d: 4, b: 1, y: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.6 + 5.6. Let g = m - -21. Which is the fourth smallest value? (a) -2\/3 (b) -0.4 (c) g (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbd when three letters picked without replacement from {d: 9, b: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30255972113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -8*m - 36. Let l(q) = 7*q + 6. Let u(n) = -15*n - 13. Let s(a) = m*u(a) - 13*l(a). Calculate s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h. Let k(n) = n**3 - 5*n**2 + 11*n - 5. Let q be k(4). Let b = q - 22. Let r(z) = 2*z + 3. Give b*r(u) + 3*j(u).\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(27)\/(-1*sqrt(9)) + (sqrt(36) - sqrt(576))\/sqrt(12)) - (1*sqrt(363)*3 + -3*-1*sqrt(363)))**2.\nAnswer: 11532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17971359?\nAnswer: 3, 7, 19, 73, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -644*m + 155*m - 1004*m as o*m + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q. Let t be -6 + (24 + -10)\/2. Let x(a) = 8*a**2 - 7*a - 7. Determine t*x(l) - 6*s(l).\nAnswer: 2*l**2 - l - 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -12598\/30949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**4 - 4818*l**3 - 48411*l**2 - 111462*l - 67872 = 0.\nAnswer: -7, -2, -1, 1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 6*b**2 + 33*b - 33. What is w(6)?\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-112)\/160 + 1 + (-3)\/6. What is the nearest to a in 3, 45, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*c + 808*c + 49956 = -229*c for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 25*w - 37 - 13. Let p(s) = -s**2 + 30*s - 56. Calculate p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198971.\nAnswer: 198971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4856904 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-68.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 285866658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - -1) + -1 + -1. Suppose a*b + 18 - 206 = 0. Suppose -8 = -3*x + 4*z + z, -2*x + b = 5*z. Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**8\/168 - u**7\/105 - u**6\/30 + u**5\/15 + u**4\/12 - u**3\/3 - u**2 + 13. Factor y(h).\nAnswer: 2*(h - 1)**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i*k**2*v*x + 2*i*k**2*v + 21*i*k*v - i*k*x - i*x + i + 2*k**2*v - 6*k**2*x wrt k.\nAnswer: 16*i*v*x + 4*i*v + 4*v - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-3))\/2)\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 6 + 5)*(-2*d**4 + d**4 + 0*d**4) to the form t*d**2 + a*d**4 + c*d + r + l*d**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) + 0 - sqrt(432))) + sqrt(432) + sqrt(432) - (1 + sqrt(3) + sqrt(27)))**2 + sqrt(75) + -1 + -2.\nAnswer: -107*sqrt(3) + 9406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9)*((-1300)\/(-1729) - 8\/(-76)). Let p = -359\/4 - -89. Put k, 1, 2\/3, p in ascending order.\nAnswer: p, k, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693 = -26*k + 555. Suppose 3*x = -2*x + 330. What is the lowest common multiple of x and k?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246813 is divided by 41130.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 268917534 divided by 3?\nAnswer: 89639178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -25. Calculate the remainder when 41 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a659 - -99?\nAnswer: a736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27020 (base 11) in base 2?\nAnswer: -1001011011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47298138 to the nearest integer?\nAnswer: 6877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**2 + 7*f**3 - 41*f**2 + 21*f**2.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/192 and 101\/384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 51636\/5627 - 9\/1\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -64442?\nAnswer: -64446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -138*c + 132*c. Let h be 10\/((-160)\/(-12)) - c\/8. Is -10 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(65)*-1)\/(2*sqrt(720)) + -2.\nAnswer: -2 + sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = o, 4*v - 20 = 2*v + 4*o. Suppose 0 = v*w + w - 48. Let a = 52 - 40. What is the smallest common multiple of w and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuwmmmpxwwk. Give prob of picking 1 k and 1 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -c + 4*o, -9*c - 2*o = -7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 0*x)*(-3*x**2 - 2*x**2 + 0*x**2)*(-4*x + 2*x + x).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 - 7*j**4 - 2*j**4 + (-j**3 + 4*j**3 - j**3)*(j + 0*j + 0*j) in the form a*j**4 + d + i*j + o*j**2 + z*j**3 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 42 = 3*q, s - 6*s = -5*q - 50. Let o be 6 + 4 + (77 - 6). Calculate the greatest common divisor of s and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/19 - 7\/114. Let h = 12 + 3. Let d = -20 + h. Which is the closest to 0.1? (a) j (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 428 = -2*n, 15*b - 12*b - 331 = -n. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1612 divide 196372965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21983, 43965, 65947, 87929, 109911, 131893?\n\"Answer: 21982*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -17*a**6\/60 + a**5\/12 - 23*a**2. What is the third derivative of m(o) wrt o?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 93.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2 - 130*d + 261*d - d**2 - 126*d - 9. Let r(x) = x**2 - x + 0*x + 3 - 1. Determine 2*m(v) + 9*r(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x**2 - 2*x**2 + 0*x**2)*(24445 - 384*x**2 + 126*x**2 - 24447 - 3*x) to m + h*x**4 + i*x**2 + n*x**3 + y*x and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, d: 1, p: 1, c: 5, w: 1}. Give prob of picking 4 c.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290564254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*h - 22, 5*h + 1 + 27 = -y. Sort h, 1, -318 in decreasing order.\nAnswer: 1, h, -318","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.032 - 25.968. Let s = -26.00000264 - q. Round s to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 43. Suppose 4*h - 3*h = v. Solve -j - h = -4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 14 + 15 = -g, r + 3 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8947777, -8947778, -8947779, -8947780?\n\"Answer: -o - 8947776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(46\/(-345)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-23 - 3 - (-233 + 200))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 39*d**2 - 105*d - 107. Give y(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -657*z**5 - 3*z**4 + z**2 + 460?\nAnswer: -39420*z**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: c3c902 (base 13) to base 8\nAnswer: 21333776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(16)\/sqrt(4)))\/sqrt(8))**2*4 - (6*sqrt(900))\/sqrt(12)*-5.\nAnswer: 12 + 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 4 - 3 - 2.\nAnswer: -6*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48175\/9 - -5359. Let n = -23615\/3879 + -10\/431. Let l = n + k. What is the second biggest value in -5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5230577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.731 + -3.131. What is the nearest to -21 in -0.3, -1, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v**3 - 4*v - 4. Let m be t(-2). Determine i, given that 110*i**4 + 287*i**2 + 32 - 190*i**4 - 84*i**3 + 201*i**2 - 240*i - m*i**4 = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/9 + 38*t**3\/9 - 58*t**2\/3 + 226*t\/9 - 92\/9 = 0. What is t?\nAnswer: -23, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 18*n**2 - 14 - 13*n**2 - 4*n**2. Let x be q(5). Suppose -x*l + 771 - 63 = 0. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 - 294. Let w = t + 99.6. Which is the second biggest value? (a) w (b) -6\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -100, -6\/7, 2\/9.\nAnswer: -100, -2, -6\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1902 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**2 + 23*t + 12. Let h(p) = 10*p**2 + 19*p + 12. Calculate -5*a(n) + 6*h(n).\nAnswer: 10*n**2 - n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**5\/4 - 2295*d**4\/2 + 311337*d**3 + 6399615*d**2\/2 + 32286825*d\/4 = 0.\nAnswer: -5, 0, 367, 1173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2. Let k(c) be the third derivative of c**5\/60 - 12*c**2. What is k(o(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didaissbidbiaib. Give prob of picking 2 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*k = -141*k - 400. Let o(g) be the second derivative of k*g - 1\/5*g**5 - 8*g**3 + 0 - 2*g**4 - 16*g**2. Factor o(p).\nAnswer: -4*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73425 is divided by 84?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0121 rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9041095 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*o = -0 - 2, 2*p + 6 = -4*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37704)\/290 + 2074\/150365.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -24, 5, 22, 21, -4, -59?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22\/((-34100)\/125)*(-8)\/10\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 17 = -7. What is the second derivative of 2*r - 12*r**x - 4*r + 0*r**4 wrt r?\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328877?\nAnswer: 23, 79, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 5, 1.8, 1\/7?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 474285 = 5*p - 8*p, 4*y + 3*p = -1897185. Round y to the nearest 10000.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + ((1 - -5) + -2 + 203 + -166 - -15).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -6) + (0 - 4) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646 divided by -1.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.32, 2\/13, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120021000 + -11?\nAnswer: -1120021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 4447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 52*y - 1225. Let g be z(-15). Which is the fourth smallest value? (a) g (b) -4 (c) -23 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*-5*(-1*sqrt(1700) + sqrt(1700)) + (((sqrt(1700) - 2*sqrt(1700)) + -1)**2 - 6*(1 + sqrt(1700))**2)*4.\nAnswer: -34025 - 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -26\/3*v**3 - 3*v**2 + 263*v + 0. Differentiate u(b) wrt b.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 13*c + 193. Give t(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -17*g**3 - 3*g**2\/2 - 1975*g + 808. What is the derivative of x(c) wrt c?\nAnswer: -102*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 899 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3\/7*s**3 + 0 + 9\/7*s**2 + 540\/7*s = 0.\nAnswer: -12, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 10*z - 32. Suppose -a - 200 = -5*h, -z*h + 3*h + 4*a + 215 = 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*o + 29*o - 995. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (20\/8 - (-262)\/(-108)). Which is the biggest value? (a) -0.2 (b) -2 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 != 396.9915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -8, -1108408, 2 in descending order.\nAnswer: 6, 2, -8, -1108408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*q = -1, 0 = 2*t + t - q - 7. Suppose -4*y = -t*y - 22. Calculate the lowest common multiple of 10 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 15) in base 3?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - -3 - 0 - 26\/20. Let l = z - -51\/10. Let q = -5.05 + 0.05. What is the biggest value in q, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/2248 and -12\/1405.\nAnswer: 11240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2 + 6. Suppose -n + 3*m - 2 + 1 = 0, p*m = -4*n - 32. Does 14 divide (-212)\/n + (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 26*q**2 + 344*q + 86. What is s(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/5 - 18\/30. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24278353 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 2*v**2 - 3*v + 2. Let o be g(-3). Let r(u) = -u**3 - 3*u**2 + 2. Let y be r(o). Let j = -13 - y. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -113*m**2 + 14571*m + 434. Calculate q(129).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112012.\nAnswer: 2, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*l + f, -18*l - 3*f - 27 = -21*l. Solve -2*v + 4*w - 18 = 0, 0 = 5*v + 3*w - w + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -12\/55 (b) -0.2 (c) 1 (d) -2\/13 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 15. Let x(s) = s. Let t(c) = d(c) - 4*x(c). Determine t(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c + 256. Determine v(-66).\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -9*t - 8. Solve t*p - 1 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/5 - -6*21\/30. Solve -3*u + p*u - 5 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 78632*g**2 - 393038*g + 2830392 = 0. What is g?\nAnswer: -39311, -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -273306 divided by 1111?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 bigger than -3\/2294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.5225*-748.\nAnswer: 7870.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/4 and 27\/238.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**2*p**4 - 116*n**2*p**2 - 2*n**2 + 8*n*p**4 - 185*n*p**2 - 348*p**4 wrt p?\nAnswer: 72*n**2*p + 192*n*p - 8352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 100 = -l. Suppose 0 = -0*d + 2*d - l. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/71, 245, -5?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -227, -226, -225?\n\"Answer: x - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 231. Let w(a) be the third derivative of a**4\/12 + 459*a**2. What is p(w(d))?\nAnswer: -4*d - 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1596 divided by 19\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*780.3193\nAnswer: 1560.6386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**4\/12 + 5*f**3\/2 + f**2\/2 + 5*f. Let u be r(16). Let n = u - -7. Which is smaller: n or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925261889 a multiple of 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d - 1. Let j be x(-5). Let p = -27 + 34. Let t be (1\/p - 1)\/(80\/(-280)). Is t > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = 2*t - 35336. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-37.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*g = 10, 5*g + 5 = -3*d + g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.2, 33.4, -1, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65869 = 65872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 6 - 1 - 2)*(-q - q + q + (4*q - 4*q + 2*q)*(-1 + 6 - 3) - 4 + 0 + 2 + 4*q).\nAnswer: 21*q**2 + 15*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 172*d - 132. Is l(12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + (-7990)\/(-35). Let x(d) = -114*d - 304. Let b be x(-4). Calculate the greatest common divisor of b and y.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaoo. What is prob of sequence ao?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 44, 24, -4, -40, -84?\n\"Answer: -4*a**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {z: 6, s: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - i)*(-3*i**3 - 48*i**2 + 48*i**2 + (-i**3 + 0*i**3 + 2*i**3)*(4 + 3 - 5)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) - (5 + 1 + sqrt(2057))) + 3 + (sqrt(51)\/sqrt(3)*2)**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(19) + sqrt(19) + (sqrt(19) + 1)*2)*2 + 5*(1*(sqrt(95) + 2*sqrt(95)))\/sqrt(5))*-6)**2.\nAnswer: 9936*sqrt(19) + 363132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 24 and 3268 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, w: 3, l: 1}. What is prob of picking 2 w, 1 y, and 1 l?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17341, -34678, -52015, -69352, -86689, -104026?\n\"Answer: -17337*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11141?\nAnswer: 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -2, 5 in ascending order.\nAnswer: -2, -1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*g + 551971 = 557275 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (225\/20 - 12) + (-4159790)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 46033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.8 - -9.8. Let a = 57 + -57.1. Sort 2\/29, a, u in descending order.\nAnswer: 2\/29, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 134?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((42\/(-1))\/(-3)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16380\/42)\/30)\/((-3)\/(-12)*2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*a - 13, 6*t + 3*a = 3*t + 12. Solve 0 = -3*v - 0*v - t for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -14. Is -3 - (513\/y)\/3 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*4\/(200\/(-15)))\/((-2)\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -6269\nAnswer: -40\/6269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*f - 630*f - 28 = 3*x, -f + 5*x = -16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269454, 269443, 269432, 269421?\nAnswer: 269410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 - 1. Suppose -28 = -4*u - 64. Let c be ((-37)\/8 - -5)*(-12)\/u. What is the closest to -2 in d, c, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 117667, 120051, 122435?\n\"Answer: 2384*c + 115283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 20 = 2*h, 0 = 2*h - 5*x + 1 - 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.982899 centimeters in nanometers?\nAnswer: 29828990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4166537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 148?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -30513207\nAnswer: 33564527.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/120 + j**4\/6 + 2*j**3\/3 + 11*j**2. Let z be r(-2). Suppose -z*s = -20, s - 3 = 3*a + 5. Is a bigger than 4\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11022158 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7. Let s(h) = h + 8. Suppose 8 = 4*t - 520*j + 516*j, -t + 5*j = -22. Determine t*v(z) - 2*s(z).\nAnswer: -2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14.8 + -2.8. Let i = a - 12.4. Let u = 3 - 2.8. What is the smallest value in -1, u, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g*q**3*y**2 - 11*g*q**3*y - 40*g*q**2*y**2 + 2*g*y + q*y**2 - q*y - 12 wrt y.\nAnswer: 16*g*q**3 - 80*g*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -185? (a) 3\/5 (b) -0.3 (c) -0.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 12*w + 186. Calculate p(-15).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 716 minutes after 2:49 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -22*t**3 + 5876*t**2 - 539*t + 1355. Determine m(267).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -34*b**2. Let f(a) = -2*a**2 - 167449*a. What is f(t(m))?\nAnswer: -2312*m**4 + 5693266*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + x**2 - 3*x**2 - 146.\nAnswer: -2*x**2 - 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110111100000100011001 (base 2) in base 13?\nAnswer: -a715c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*h = -24, -2343 + 2421 = 4*f - 5*h. Solve -f = 25*k - 13*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -35883*l - 1542965. What is f(-43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1227 + 1329. Solve -w*j - 1 = -103*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -39*g + 149. Calculate a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/u**(-2\/5)))\/u)\/u*u)**(-1\/9)\/(u**(-2)*(u*u**(-2\/5))\/u))\/((u\/((u\/u**(-2\/5))\/u))\/u**(-6)*(u**(1\/5)\/u)\/u*(u*u**(-1))\/u*u) assuming u is positive.\nAnswer: u**(-101\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -198 + 367*s**3 - 12*s + 202 - 30*s**2 + 12*s wrt s.\nAnswer: 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 7, 2, -4, 44 in decreasing order.\nAnswer: 44, 32, 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.21 - -0.21. Let o = 6\/19 - 11\/95. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26024897*c**4 + 1809235?\nAnswer: -104099588*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 49*y. Determine f(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 15*y**2 + 48*y + 21. Let g be r(10). Sort g, 34.2, -4.\nAnswer: -4, g, 34.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 13*w**2 - 15. Let z be r(13). Let p(c) = 2*c + 30. Let f be p(z). Solve u + 0 + 3 = f for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 10*i - 6 = 0. Solve i*c - 4*c = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 127416933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -3, 2, -6 in decreasing order.\nAnswer: 3, 2, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and ((-11 - -1) + -4)\/(0 + -2).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 33465362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2621 (base 7) to base 16.\nAnswer: -3e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31144011.\nAnswer: 3, 10381337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/200 + k**5\/20 + k**4\/10 - 35*k**2. Suppose j(m) = 0. What is m?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -30, -30, -28, -24?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, -336.\nAnswer: -336, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 9111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-10 - 9*m + 10) + 2*m - 3*m + 2*m as l + z*m and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(343))*5.\nAnswer: -20 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-108) + (-87)\/189. Which is the nearest to k? (a) 0.3 (b) -3 (c) 5 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218d (base 15) in base 11?\nAnswer: 5382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1780793 and 20837.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + 9. What is the highest common factor of o and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 1774 + 1774 + 2*m**2 to the form g*m + n*m**2 + z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 38.81717 kilometers?\nAnswer: 38817170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 + 4. Let w(u) be the first derivative of 10 - 5*u**2 + 2*u**2 + 2*u**2 - 1. Give r(w(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.26983 times 9\nAnswer: -29.42847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 611 + -611. Let a = -0.3 + -0.2. Is a <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*s = -173*s + 1080. Is 27 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -21.2. Let m = -2 + j. Let r = 22.1 - 22. What is the closest to r in m, 2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8 - (-211 - -177 - (-1 + -15)) - -15\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 7*o**2 + 1. Let u(x) = -x**2 - x + 1. What is u(m) + z(m)?\nAnswer: -m**3 + 6*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*32.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 10*p**2 + 701*p - 2171. Calculate c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + x**2 - x + 7. Let a be j(6). Let h = a + -883\/2. Let g = h + -26. Put g, -2, 0.4 in descending order.\nAnswer: g, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**3 + 6*x**2 - 5*x - 4. Let s(n) = 3*n + 42 - 3*n**2 - 4*n**3 - 40 + 0*n. Suppose 0 = 5*d - 2*y - 27, 9*d - 4*y - 29 = 4*d. Give d*s(b) + 3*t(b).\nAnswer: b**3 + 3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, y: 2}. Give prob of picking 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001046572 to 7 dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23062, -46128, -69196, -92266, -115338?\n\"Answer: -x**2 - 23063*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 12*q**2 + 8*q + 8. Let k be x(12). Let f(w) = 3*w**2 + 1. Let r be f(-2). Calculate the highest common factor of k and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 8\/202325 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and 2949?\nAnswer: 619.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 42579571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k - 30. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9347 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 16*p**2 + 2. List the prime factors of f(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 6:09 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 + 11 - 8 - 5*q + 3*q**2. Let h be c(-3). Which is greater: 15\/2 or h?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 200934.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*t - 2970 = -82*t. What is the remainder when t is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62413 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -2. Let m be l\/(-4) - 301\/(-14). Let i = -1 + 4. What is the greatest common factor of i and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1320 and 109\/264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 3*z + 28 = 0. Suppose -z = -5*x + 3. Find the second derivative of -3*d + 2*d**2 + d**2 + 0*d**x wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (472 - 3 + 33)*(-2*n**3 + n**3 - 3*n**3).\nAnswer: -2008*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*i**5\/3 - 106*i**4 + 310*i**3\/3 + 110*i**2 - 374*i\/3 - 4 = 0. What is i?\nAnswer: -1, -1\/32, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 734103 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*y - y + 79*y)*(2*y + 0 + 0 + (-4*y + 5*y - 2*y)*(3 - 2 + 0))*(-1 + 3 + 3) as u*y + s*y**2 + r and give s.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/11306 and -41\/4.\nAnswer: 22612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -10290.0674.\nAnswer: -51450.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2758 + 2*v - 2*v**4 - 11381 + 2629 - 4*v to t*v**2 + z*v**4 + o*v + q*v**3 + r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 14*z - 45.\nAnswer: -(z - 9)*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 59*p**2 + p + 53. Let y(o) = 178*o**2 + 3*o + 160. Let z(c) = 17*r(c) - 6*y(c). Find the second derivative of z(j) wrt j.\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 9 = 5*g + 3*w, 5*g + w + 10 - 33 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001001000 (base 2) in base 14?\nAnswer: 19c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/540*1\/34*5?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 303589148 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 214257 = -s + 746466, -4*w - 1596677 = -3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1109255289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.59 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*u**4 + 7*u**4 - 3*u**4)*(-3*u + 0*u + u).\nAnswer: 58*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.31 - -2.1. Let p = g - -24.21. Let b = 19 - p. What is the nearest to 2\/5 in -0.3, -1, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*h + 59 - 80 - 117*h.\nAnswer: -157*h - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - x - 5)*(-1 + 4 + 4) as h + z*x and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((-11 - -23) + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0*j**2 + 1\/2*j**3 + 0 + 3*j - 1\/6*j**4. What is the second derivative of x(s) wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1184)\/222)\/(((-14)\/(-3))\/(-14))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luk when three letters picked without replacement from ttlurllkulklrlulkr.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 80\/459 and -137\/21114.\nAnswer: 21114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5975 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -19*g**2 + 61*g + 736. Give l(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrrn when four letters picked without replacement from {n: 4, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 14*w**2 - 50)*(-2*w + 0*w + 2*w**3 + 1 - w**3).\nAnswer: -14*w**5 + 28*w**3 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l**3 + 1\/2*l**2 - l - 1\/4*l**4 + 10. What is z(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - 12*w**2 - 8*w - 7. Let b be v(7). Solve 85*n - b = 31*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940118603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 0*o - 1 + 0*o + 0*o**2 to f*o + q*o**2 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {y: 5, k: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068 a factor of 7134710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10892 is divided by 222.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -1\/40*g**5 + g**3 + 1\/3*g**4 + 0*g - 1\/60*g**6 + 0 + 176*g**2. Factor x(n).\nAnswer: -(n - 2)*(n + 2)*(4*n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from zhrhhddzhzhh.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2203033311 (base 4) to base 2\nAnswer: -10100011001111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047289448 rounded to 7 dps?\nAnswer: -0.0000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 362155 divided by -72431\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*n - 7 + 26*n**4 - n**4 - 170*n - 167*n - 11*n**4 in the form s*n**2 + q*n + u*n**4 + h + c*n**3 and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 89*l**2 - 358*l + 1523. What is i(85)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*s, -5*b - 2*s = -4*b - 51. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (561*y**3 - 152*y**4 - 561*y**3)*(0 - 1 - 1)*(7 - 3 - 3) to h + i*y**2 + w*y + p*y**3 + j*y**4 and give j.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -402795846947.6?\nAnswer: 402795846945.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvp when three letters picked without replacement from {v: 5, p: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 1. Suppose 2*m = 3*j - 3 - 3, 0 = 4*j - 2*m - 10. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 7:10 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, i: 15}. Give prob of sequence ibbb.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*g - 1 - 6, 0 = 3*k - 5*g - 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*(-1)\/((-3)\/(-2)). Suppose 0 + 3 = -b, 0 = -3*x + n*b + 18. Find the third derivative of -5*k**2 + 6*k**x + 2*k**2 - k**2 - 2*k**3 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -751.742 + 482.621. Let u = 269 + i. What is u rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2. Let p(i) = 30*i - 2*i**2 - 4*i - 14*i - 12*i. Determine p(v(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-7 - -7) + 2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1225 - 89. Suppose 0 = 5*z - m - 2820, -2*z + 0*z + 2*m + n = 0. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, v: 7, o: 2, c: 3}. What is prob of picking 1 v and 1 o?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12770.\nAnswer: 2, 5, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 4, i: 1, h: 2, o: 1}. Give prob of sequence hgdo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 + 3*r**4\/4 - 3*r**3\/4 - 11*r**2\/4 - 3*r\/2.\nAnswer: r*(r - 2)*(r + 1)**2*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604847 is divided by 201582?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 1 + -2)\/(-2). Suppose 0 = z - 0 - 2. Let l = o + z. Solve 0 = -0*t - l*t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51696 - 451958*w + 51696.\nAnswer: -451958*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -46, -84, -138, -214, -318, -456, -634?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 1\/2 (b) 4 (c) -0.3 (d) -400.22 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nntnutnuununntnu. What is prob of sequence uuuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*y - 63 = 0, -3*i + 4*y - 7 = -42. What is the derivative of -1 - i*k**3 - 995*k**2 + 995*k**2 wrt k?\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 34. Let l = o - 62. Let i be 1*(l + (-3)\/(-5)). Which is the closest to i? (a) 2\/7 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 8) in base 3?\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + 3 + -10 - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 1.154.\nAnswer: 4.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15180 + 334061\/22. Find the common denominator of s and 21\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38583*p + 38583*p + 330*p**3 - 37*p**3.\nAnswer: 293*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -278, 1, 80.48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 29058784?\nAnswer: 87176352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 0. Let y = 0.1 - p. Let t = -0.5 - y. Which is smaller: t or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63697 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183\/700 + -2\/175. Put 5, 1, t, 2 in decreasing order.\nAnswer: 5, 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797819483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.08 (b) 2\/11 (c) -41.1 (d) 1\/8 (e) 0.1 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 21. Let k be s(-10). Put k, 4, 5 in increasing order.\nAnswer: k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d + 2)*(-d + d - 2*d) + d + 473 - 473 - 29*d**2 - 2*d**2 - 2*d**2 - 2*d**2.\nAnswer: -37*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 153?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (-2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 90.83809 millimeters?\nAnswer: 0.09083809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 523 + -1598?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -873032, -4, -2, 5, 4 in descending order.\nAnswer: 5, 4, -1, -2, -4, -873032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 529 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (60\/(-440))\/(6\/8). Let u = -26 - -29. Suppose -2*n = n - u. Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3786322 + 5138678. What is f rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115188150, 115188149, 115188148?\nAnswer: 115188147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(245)*-2 + ((-2*sqrt(150))\/sqrt(10))\/((sqrt(18) - (sqrt(36)\/sqrt(2) - sqrt(18)))\/sqrt(6)).\nAnswer: -44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 87 = 5*t. Let h(i) = 42*i - 821. Let v be h(23). Calculate the highest common factor of t and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + 148 + (-21 - 99)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 5 - 5 - 8910*i - i**2 + 8910*i.\nAnswer: 3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + -2 + sqrt(468))**2 + 2.\nAnswer: -12*sqrt(13) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701 divided by -4.\nAnswer: 701\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3\/2 - 687867*k**2\/2 - 17886063*k\/2 - 116262705\/2 = 0.\nAnswer: -13, 229315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(12)\/sqrt(4)))\/(sqrt(968)*1) + (sqrt(540)\/(sqrt(36)\/sqrt(3)) + sqrt(45))\/(sqrt(1089)*1).\nAnswer: 3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2296 - -2338. Suppose o*j - 16*j = 1092. Let f = -29 - -51. Calculate the remainder when j is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u + 2. Let f(i) = 2*i + 1. Let m = 16 - 30. Let a = m - -20. Suppose 0 = -4*s + 2*s - w - 9, a = -2*w. Determine s*x(t) + 4*f(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12\/11 + -871\/22. Calculate the common denominator of -149\/432 and q.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171976*l = 171944*l + 192 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + -745)*((-441)\/(-56) - 8)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(9) + sqrt(9)*-2)*5*-5)\/((6*(sqrt(432)*-1 + sqrt(432)) + sqrt(432))*5).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2704816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13094*s**4 - 5444*s**4 + 5354*s**4 + 2*s**4 + 0*s**3 + 0*s**3 + (-4*s**2 + 4*s**2 - 2*s**2)*(-2 + 2 + s**2) + 4*s**4 - 6*s**4 + s**4.\nAnswer: -13185*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4 = -2*s. Let x(y) be the second derivative of y**5\/2 - y**3\/6 + y**2\/2 + y + 54. Is 10 a factor of x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101, -693, -2265, -5297, -10269, -17661, -27953, -41625?\n\"Answer: -80*p**3 - 10*p**2 - 2*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 13 = 6*i + y, 5*y + 11 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -1.3. What is the nearest to -0.1 in 4, l, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2 + 0*f**2 - f**2 + 1. Let q be ((1 - 6) + 2)*(-100)\/(-12). Let d = q + 27. Let t(p) = -6*p**2 - 7. What is d*t(i) - 14*y(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 547022*c**2*s + 8*c**2 - 2*c*s + 40020*c - 61*s - 3 wrt s.\nAnswer: 547022*c**2 - 2*c - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18580*n = 4*y - 18582*n - 10, -y - 14 = 5*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 + 3*x - 4. Suppose 3*u = -4*s - 8 - 9, -2*u - 4*s - 14 = 0. Let b be p(u). Does 5 divide b\/16 + 63\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6922, -6887, -6836, -6775, -6710, -6647, -6592?\nAnswer: -6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/10*4\/8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -13*p - 6. Solve -10 = g - 3*z, -p*z + 2 = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 8 = 16 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 + 37. Let b be (-5 + 5)*(3 - 4). Suppose -4*v - 4*s = -36, -8 = -4*v + 2*s + s. Solve 2*o = b, -5*j + 3*o + w = -v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 15. Is -2\/7 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 12*y**4 - 11*y**4)*(-4 - 2 + 5).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, c: 2}. What is prob of picking 1 e and 1 c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(-6 + (-66)\/(-12)). Let n be q\/3*(-78)\/(-52). Which is greater: -0.027 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - j = -264979, 15*j - 14*j = -3. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -17. Let p be ((-10)\/l)\/(2\/6). Find the second derivative of -6*a - a**5 + 3*a + 2*a**p + 2*a**5 wrt a.\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139498 + 1139498 - 25*q**2 + 1465*q.\nAnswer: -25*q**2 + 1465*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:29 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = u. Suppose -5*r = -0 - 15. Let a(q) = -2*q - q + 2*q - q**2 + 6*q**r. Calculate a(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 + 107. Let b(n) = 30*n + 24. Let w(m) = -6*m - 5. Calculate v*b(l) + 24*w(l).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 11*s. Suppose s*c - 6*c = -18. What is the least common multiple of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - n = -0*n - 133, -4*n = 2*k - 270. Calculate the remainder when k is divided by 173\/4 + (3 - (-55)\/(-44)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/70, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 71 - 31 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11808.1 times -48\nAnswer: 566788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*c - 0*i - 3793, -c - 2*i + 1259 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/(-9)*(5 + -1). What is the highest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbbr when four letters picked without replacement from bbrbr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + 89. Calculate the remainder when s is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43.0043 + 43. What is m rounded to four dps?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2 and 13\/2399.\nAnswer: 4798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48552820 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:24 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 2. Let g be p(-4). Let f = -1 - g. Solve -14 = -4*r + 2*x, 0 = 5*x + f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13 + 2*h**3 + 6 - 2*h**2 + 4*h**2 - 3*h**3. Let j be i(-2). Solve 9 = 9*v - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 6 = -0. Let x = r - 1. Solve w - 4*w - 15 = x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7677)\/(-18) + 4)*2.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29292, -58743, -88194, -117645, -147096, -176547?\nAnswer: -205998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20844819*r**3 - 7245037*r**2?\nAnswer: -125068914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224091 and 170736?\nAnswer: 3585456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14440 in -1\/4, -0.2, -3, 2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, u: 7}. Give prob of picking 3 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011561 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i + 1. Let t(n) = 11*n**2 - 125*n. Give h(t(f)).\nAnswer: -55*f**2 + 625*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(357\/(-4263))\/(-17)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -182710*b**4 + 171744*b wrt b?\nAnswer: -2192520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14511\/4 - 3610. Calculate the common denominator of -83\/10 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*r - 321 + 106 + 103 + 111.\nAnswer: 240*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 797.6378 days to milliseconds.\nAnswer: 68915905920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 415, 403, 389, 373?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 24 - (51 - 83)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -949 - -1348. What are the prime factors of t?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(15)\/(sqrt(6)\/sqrt(8)) + 3 + (-5*(sqrt(245) + -2))**2.\nAnswer: -698*sqrt(5) + 6223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + 4*t. Give j(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*y**3 - 175*y**2?\nAnswer: -1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -39*f - 9. What is the units digit of q(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427259 and 9968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and 186.\nAnswer: 595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n*n**(3\/4))*n)\/n*n*n*n**(-2\/19)*n**(-2\/9)\/n*(n\/(n\/((n*n*n*n**(1\/7))\/n)))\/n*n assuming n is positive.\nAnswer: n**(14677\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 40*v = -1151495 + 163965. Which is greater: v or 13344?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 17*t = -15*t. Solve t = 4*d + 161 - 181 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110110 (base 2) in base 15?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82.32079 + -0.82279. Let d = 71.48 - b. Let j = -10 - d. Round j to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.792987 millimeters in kilometers?\nAnswer: 0.000000792987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 415784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 2112 = -4*r. Let h = -354 - r. Which is the smallest value? (a) -5 (b) 1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -908 = -8*y + 1692. Suppose -11*v + y = -6*v. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 24757404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 4*q - 16, 2*q - 5 = 4*l + q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -49.32 * 468.1\nAnswer: -23086.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2 - 11*b + 2. Suppose -c - 8 + 3 = 0. Calculate the remainder when 12 is divided by j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 73*s**3 - 4*s**2 - 5*s - 20. Let c(x) = -218*x**3 + 11*x**2 + 14*x + 60. Let v(r) = 4*c(r) + 11*u(r). What is the second derivative of v(k) wrt k?\nAnswer: -414*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1506471 by -1.\nAnswer: 1506471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 17*n + 72. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 15*m + 60. Suppose 14*d + m = 16*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/27 + (-20168)\/(-72) + -6?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3466921 milligrams in grams?\nAnswer: 0.0003466921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -304*r**3 - r**2 + r. Let v(z) = -z**3 + z**2 + z. Calculate p(i) + v(i).\nAnswer: -305*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -34, -45, -60, -79, -102, -129?\n\"Answer: -2*b**2 - b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 105 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmdmddmmdmmmmmddmm. What is prob of picking 3 m?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21 (b) 14 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1643.5 * -3\nAnswer: -4930.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 p when four letters picked without replacement from {b: 2, p: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14515 + 434310?\nAnswer: 453225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -47103468\nAnswer: -329724276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 8177334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -193*f - 2882. Calculate m(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/16)\/(((-3)\/(-426))\/(-1)). Let j = 353 - v. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164272.\nAnswer: 2, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139.047 + 139. Let q = 1.047 + i. What is the smallest value in -0.5, -0.61, q?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12 + 4*l - 3 + 16 - 81*l**2 + 80*l**2. Let r(j) = 3*j - 1. Let s be r(2). What is a(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 857 = -4*g + g, 3*g = 9. Let o = 322 - c. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 5*z**2 - 2 - 5*z**3 + 0 + 4*z**3. Suppose 0*v - 2*v + 10 = 0. Is 4 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-156)\/(30\/165 - (-8)\/77). Find the common denominator of j\/(-99) - (2 - -2) and -50\/57.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.0000925 + -32. Round o to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3023612280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15 and -10673927.\nAnswer: -10673942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -417216\/119 + 3506. Which is the third smallest value? (a) 0 (b) -2 (c) l (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 4*g. Let j = -1 + 4. Let x be l(j). Calculate the common denominator of -1 + x + 57\/20 and 145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/6))\/t**(-5))**35*(t**(-3\/7)\/t**(-4\/3))\/(t**(1\/3)\/t)**(1\/14) assuming t is positive.\nAnswer: t**(3035\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (sqrt(99) + 1 + 1)**2 - sqrt(99) - sqrt(99)) + 2 - (-4 + sqrt(99) + 0 + -5*sqrt(99)*-1)**2) + 3.\nAnswer: -3472 + 153*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*g**3 - 3 - 31*g**3 - 5 + 2 - 1 in the form z*g**3 + d*g**2 + j + r*g and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 10, -l + 2*o + 36 = 3*l. Suppose -19 = -3*q + u, 4*q - l = u + 19. Find the third derivative of q - 8 + 5*b**2 - b**5 wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 + 6. Let b = 25311\/203 + -874\/7. Let v = 59\/174 + b. What is the second biggest value in -1, v, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 2:28 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aagdddgadgaagd. What is prob of picking 2 d and 1 g?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*c + 48*c**2 - 670*c - 32*c.\nAnswer: 48*c**2 - 742*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3*-3)\/(-2). Let m be (-1)\/(-2) + 79\/2. Suppose 4*f - 1 = 2*f + u, 0 = -5*f - 5*u + m. Solve a = f*x + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - y)*(1 + 12 - 1)*(-y**4 + y**4 - 3*y**4) + y**5 + y**2 - y**2 + (y - y**4 - y)*(-4*y + 0*y + 3*y).\nAnswer: -34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319 - -544. Suppose -q - 95 = -5*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*h - 57, -21 = -2*p - h + 2. Let f = 4 - -1. Solve -4 = -f*g + p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8503 is divided by 2160.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3388 - 16944\/5. What is the third biggest value in -28, 4\/5, 0.1, 4, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68340 is divided by 107.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 87 - 7)*(3*a**2 - 5*a**2 + 3*a**2) to the form d + x*a**2 + v*a and give x.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -88725 and -0.1.\nAnswer: 8872.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 2. Let o be 3*1 + (0 - 3). Suppose -4*r + r - 24 = o. What is the tens digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96636 (base 16) in base 13?\nAnswer: 1874bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 70 - 30 = 0. Let c(y) = -33*y - 126. Let d be c(x). Sort 0, d, 3 in increasing order.\nAnswer: 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*((-2*s**4 + 2*s - 2*s)*(-3*s + 2*s + 0*s) + 5 + s**5 - 5 + (-6*s + 6*s + 5*s**5)*(3 + 2 - 7)).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23070*u**2 - 4608 wrt u?\nAnswer: -46140*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-5)\/(-2) - (-75)\/30. Suppose 3*d = 4*d - n. Suppose -632 = -d*u + 2*t + 615, u - 418 = 3*t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -1\/30*r**5 + 0 + r**2 - 1\/3*r**3 + 3*r - 1\/6*r**4. Let w(i) be the first derivative of s(i). Solve w(u) = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, d: 1, f: 1, p: 2, x: 1}. What is prob of picking 1 f, 1 q, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*w + 66 = -121*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -449, -1, -10, 3, -6 in decreasing order.\nAnswer: 3, 1, -1, -6, -10, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 678 divide 250670838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -21122303213?\nAnswer: 21122303223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 144, 220, 298, 378?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 258826 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6*u - 54. Solve 3*v + u = 4*j - 0*j, -3*v = 3*j - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 5*f + 16. Suppose 3*j = -j + f, -5*s = -3*j - 374. Suppose -4*w + 290 = -i, -5*i = -w - 3*i + s. Calculate the greatest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55626, 111233, 166840?\n\"Answer: 55607*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 16684.\nAnswer: -57\/16684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 2*p + 47. Suppose -z - 4 = -5*t + 4, -2*z - 4*t = 16. Calculate the remainder when k(z) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, z: 1, w: 2, v: 1, q: 1, i: 1}. What is prob of sequence qiwv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28006527, -28006529, -28006531, -28006533, -28006535, -28006537?\nAnswer: -28006539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -539073.484 rounded to the nearest 100?\nAnswer: -539100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 679371\/85 - (-2)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011009 to 5 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.093647849 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + l - 2)*(-3 - 1 - 3)*(-3 + 0 + 2) as o*l + y and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153392 to the power of 1\/2, to the nearest integer?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 3227487 = -667287. Round p to the nearest 10000.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65320173*c + 426523813?\nAnswer: -65320173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/123652640 or -1?\nAnswer: -3\/123652640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13826 (base 9) in base 14?\nAnswer: 360c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 39 = -f. Suppose 0 = f*h + 2*x + 388, 5*h - 2*h - 5*x = -374. Let m = -33 - h. What are the prime factors of m?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and -2\/4921 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13207913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 123. Let p be x(0). Suppose -5*l + p = -l + 5*i, l - 33 = i. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191063 is divided by 19100?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 13033?\nAnswer: -13032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - q + 21 = 14*n, 3*n = q + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -177 + (4 + 6\/3)\/2. Let x = -114 - z. Let o be (4 - x\/14)*1. Which is the third biggest value? (a) o (b) -2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Suppose 4*d + 0*d - 48 = p*y, -5*d + 59 = -4*y. Let a(g) = g**2 + 4*g + 3. Let c be a(-6). Calculate the highest common factor of c and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 495.09 - 495. Let y = -14 - -9. What is the second smallest value in l, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2464, -10128, -22908, -40810, -63840, -92004, -125308?\nAnswer: -163758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 3*c**2 - c + 4. Let j be w(6). Let k = j - 101. Solve o + 6 = -k*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*9\/1377*(-1 + 4). Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/12267 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/13))\/w)\/(w*w**(3\/7)))\/((w**(-2)*w)\/w*w*w\/w**0)*((w*w**(-2)*w*w)\/((w*w**1*w)\/w*w))**(-1\/58) assuming w is positive.\nAnswer: w**(-3273\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j + 3440 + 1314. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -219\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 60*y**4 - 140*y**3 - 30*y**2 + 145*y + 90 = 0. What is y?\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9bca97 (base 14) in base 10?\nAnswer: 5298013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 16 = 9*g - 4*v, 0 = -g - 4*v + 12. Solve -g*d - 2*r + 14 = 0, -6*r + r = -4*d - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxpxpxxpx.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 910929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -372489536.00000052 - -372489523. Let u = -13 - s. What is u rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 88 + 82. Suppose -4*p - 2*i = -0*p - 66, o = 2*p + 2*i. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2907283 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 r when four letters picked without replacement from {r: 3, h: 3, y: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30730.24 millennia in years?\nAnswer: 30730240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 10. Let p = 17 - z. Calculate the least common multiple of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6972 is divided by 632?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:39 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a microgram in nanograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 390393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 at most as big as 575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/221099 or 970?\nAnswer: 1\/221099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243, -488, -733, -978, -1223?\nAnswer: -1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 9*n**2 - 8*n. Let i(y) = -4*y**3 + 10*y**2 + 8*y. Let f(w) = -6*b(w) - 5*i(w). Factor f(x).\nAnswer: -4*x*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324374757.\nAnswer: 3, 7, 43, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 130 = 326. Suppose -312 = -3*v - 3*t, -61*v + 3*t + 318 = -58*v. Calculate the remainder when v is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 1:40 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -8 (c) -25 (d) -7 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2145 and 2275065?\nAnswer: 25025715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let z(p) = -2*p**2 - 7*p + 19. Let s(u) = u - 1. Let n(r) = -6*s(r) - z(r). Let j(h) be the first derivative of n(h). Determine j(y) + 6*q(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g + 124. What is a(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6485 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 j = 0.5 - -0.1. Let p = -1 + 0.4. Let t = p + j. Put t, 2, -3 in decreasing order.\nAnswer: 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 27*y**2 - 2. Let k(d) = -2726*d**2 + 203. Let x(j) = 4*k(j) + 406*p(j). Let l(w) = 2*w**2. What is l(x(h))?\nAnswer: 6728*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 198*i**2 + 11*i + 414 - 97 - 199*i**2 as j*i**2 + f + p*i and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b**(1\/13))\/b))\/b*b**(-2\/7))\/(b**6)**44 assuming b is positive.\nAnswer: b**(-24148\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 15\/1) + 0. Let l be n\/(-8) + 1*-2. Let t(r) = r + r - r + l. Let k(v) = 6*v. Give k(t(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 14*g**2 + 10*g + 16. Is p(15) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37047792 to the power of 1\/2, to the nearest integer?\nAnswer: 6087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 7, 5, -0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/7)\/(v*v**(-12)) assuming v is positive.\nAnswer: v**(79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21015421 divided by 2\nAnswer: -21015421\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-957)\/66)\/(((-12)\/72)\/((-6)\/(-9)))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22107912, 22107913, 22107914, 22107915, 22107916, 22107917?\nAnswer: 22107918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 5*n**3 + 2*n**3)*(-175599 + 175599 - 6011*n) to the form d + g*n + u*n**4 + t*n**3 + h*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -5 - (5 + -1)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 39, 60, 0, 72.\nAnswer: -7, 0, 39, 60, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 5*q**2 + 8*q + 27. Suppose -v = v + 12. Let x be o(v). Solve 0 = -4*g + 4, -6 - x = -5*y - g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 3942.\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 440*v**4 - 3*v**3 - 107487*v**2 wrt v.\nAnswer: 10560*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - (3 + (1 - 5)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117354 and 530.\nAnswer: 31098810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - b + 21 = -0*s, s = 2*b + 12. Calculate the greatest common factor of 9 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 99*g**3 - 201*g**2 - 40*g + 74. Determine h(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 39*j - 1. Let f be m(-4). Let s = -110 - f. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 9*t**8\/112 - 13*t**5\/30 - 10*t**2. What is the third derivative of x(h) wrt h?\nAnswer: 1620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44500155 greater than 356001237\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:49 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 543222 (base 6) to base 4\nAnswer: 22323332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 7\/2*y**2 - 4*y - 1. Let q(k) = -6*k + 3. Suppose -10 = -5*l, -3*p - l + 11 = -6. Determine p*d(c) + 6*q(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (10 + 3592\/(-360))*23*-2 and 49\/45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {i: 1, u: 5, h: 9, m: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 726059457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 10 = -7*u - 5*d, -15 = -3*u - 3*d. Suppose u*y = 3827 - 362. List the prime factors of y.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8445801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/28*(-32)\/(-24)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 66606.\nAnswer: 2197998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*g**2*m**2 - 16515*g**2*m + 68*m**2 wrt m?\nAnswer: -140*g**2 + 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*i = -72, i + 63 = 46*r - 51*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10215663 or -10215665?\nAnswer: -10215663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/20 - a**4\/3 - a**3\/2 - 9*a**2\/2 - 2*a + 466. Calculate s(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + h + 1. Let m be f(0). Let z(g) = g + 3. Let l be z(m). Solve -j = 2*a - 3*j + 8, -8 = -l*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 - -37b61?\nAnswer: 37ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7411 = -17*j - 0*j + 6631. Is j less than 827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117932332 by -1853.\nAnswer: 63644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a factor of 34936802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -2 - ((-16)\/(-6) - 3). Let c be (1 + -1)*(-1)\/(-2). Let o = c + 3. What is the second biggest value in 4\/7, k, o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10 - (-5138)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/6 - c**3\/2 + c**2 - 7*c. Let x = -7 + 9. Calculate y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4617 - 5472. Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97852997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 11 = i, 0 = 5*g + 4*i - 2*i - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(4*y**2 + y**2 - 4*y**2 + (-4 + 4 + 2)*(-4 + 4 + y**2)) to the form h + p*y + i*y**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 = -5*t - 5*a + 148, -1624*a + 1614*a = 4*t - 670 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -7. Let s = 4\/91 + 22\/91. Is g > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03790724475 to four dps.\nAnswer: 0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2 - 2. Let u be (-45)\/(-3)*11\/33. Let i(x) = -15*x**2 - 5. Let p(o) = u*v(o) - 2*i(o). Let c(d) = 0*d**2 + 6*d**2 - 5*d**2. Calculate p(c(n)).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 1. Let p = 6 - 1. Suppose -p*s + 5 = -0*s. Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5579 + 5584. Solve 0 = 2*r - q + 2, -6*r + 11*r + a = -4*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 135\/360 + 4\/(96\/87). Solve -f = f + i, 18 = 4*q - f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 378.3 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 5, -3, 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4605 - -9157\/2. What is the common denominator of a and 93\/524?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) -0.3 (b) -2\/11 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7055 - -0.0385. Let w = 1.795 - n. Let m = -0.91 - w. What is m rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*t - 1571, -5*i + 6 = -2*i. Let k = t + 449. Let g = k + -97. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s**2 - 846*s - 373. What is g(-70)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = -4*z - 940. Let h = z + 2453\/9. Which is bigger: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.048 from 9.\nAnswer: 9.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 3. Let d be r(-2). Suppose -7 = -d*h + 3. Suppose -k - h*k = -786. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 5*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 468072?\nAnswer: 468072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(468) - (1 + sqrt(468))**2) + 0 + -5 + -2 + (-3*5*(0 + 2*sqrt(468)))**2).\nAnswer: -2524344 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 871629193 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) + -2*sqrt(1700)) - sqrt(1700))*-5)**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y**2 - 3186*y + 6381. Determine g(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 + 549 = 33*y. Suppose i - c + 66 = 4*i, -i + 3*c + 22 = 0. What is the remainder when y is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 3, -3, 15, 2, -2 in decreasing order.\nAnswer: 15, 4, 3, 2, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*c - 33, 0*g - 4*c = -g + 1. Factor 9*r**3 - 5*r - 4*r**3 + g - 15 - 5*r**2 + 11.\nAnswer: 5*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 16*g**2 - 6*g - 114. Calculate v(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxdllxllddldxx. Give prob of sequence dd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 7*c = -34. Suppose -f + c*f - 2*f = 0. Suppose -2*g - 423 = -6*k + 3*k, -k + 4*g + 151 = f. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 - 6*t**3 - 9*t**3.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 847078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875591 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 23. Suppose -u*r + 456 = 4*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158684.\nAnswer: 2, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 131073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {f: 1, i: 2, x: 2, p: 2, j: 1, e: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*j + 18 - 7 = -33, 29*j - 109 = -2*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4013 (base 5) to base 15.\nAnswer: -23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/12771 and -115\/54.\nAnswer: 25542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12 + 5 - f + 3 - 21. Let q(w) = -6*w**3 - 5*w - 16. Let b(k) = q(k) - 5*v(k). Differentiate b(g) with respect to g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:32 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 + 0.04. Let s = g + 0.3. Which is the third biggest value? (a) -2 (b) 2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/4 - 831*r\/2 + 690561\/4 = 0. Calculate r.\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1785, -1786, -1787, -1788?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 707865574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*z = -6, 23 = 2*o + 3*o + 4*z. Suppose o*t + 2*a + 4 = 0, -t - 3*a = -3 - 5. Is ((-62)\/t)\/(1\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2923512 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -2) + -4 + 0 + 16. Suppose -d*y + 222 = 78. Calculate the remainder when 21 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85794470 is divided by 3933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 29*i**2 - 28*i + 7. Let u be p(-28). Suppose h - 28 = -0*h. What is the greatest common divisor of u and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 64\/3 + 2\/3*c**2 - 22*c = 0.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 d when four letters picked without replacement from eereppdrididde.\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9526823 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1367795 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*h + 31 = 0, 4*w - 5*h + 72 = 17. Let c = w + 11. Is c less than 28\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 25 + (-206)\/14\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(304))**2 + 3*sqrt(57)\/sqrt(3) + 3.\nAnswer: 27*sqrt(19) + 316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -121, -189, -263?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.3497 meters in centimeters?\nAnswer: 55034.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53333371 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 c, and 2 t when four letters picked without replacement from {d: 3, c: 4, t: 8, k: 4}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(117)\/sqrt(81).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3171, -4683, -4535, -2727, 741?\nAnswer: 5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 2776?\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000065 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2*(3 - 5)). Let t(i) = -3*i - 3*i + 52 - 3*i + 3*i. List the prime factors of t(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/82648951 and -39\/187838525.\nAnswer: 2066223775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1250506031.\nAnswer: 71, 2833, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 2*g**3\/3 - 9*g**2\/2 + g. Let r be f(6). Let w = r + -9. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, -15, 4, -2\/13 in decreasing order.\nAnswer: 25, 4, -2\/13, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25284972 is divided by 1213?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*w + y, 2*w + 4*y = 27 + 9. Solve b = -4*x - b + w, -4*b + 8 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**5\/20 - k**4\/3 - 4*k**3\/3 + 7*k**2\/2 - 5*k. Calculate l(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 1\/(3\/6). Is t bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 367447252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 59*n = -13*n - 96. Solve 33 = -n*b + 15, -b + 6 = 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -20.25. Let g = -0.25 - m. Which is the second biggest value? (a) -0.5 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-3))\/4)\/(-8*6\/(-864))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/8 - 671*g**4\/4 + 19733*g**3\/8 + 57517*g**2\/2 - 302556*g = 0.\nAnswer: -12, 0, 8, 19, 1327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 4 = 4*g + 5*u, g = u - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s + 0*s**7 - 1\/12*s**5 - 3*s**2 + 0*s**3 + 0*s**6 + 0 + 0*s**4 - 5\/336*s**8. Find the third derivative of w(p) wrt p.\nAnswer: -300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*s = 12, -3 = -5*r - s + 17. Suppose r*b - t - 4417 = 0, -4*t + 792 = -4*b + 5224. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2944*h**2 + 3104*h**2 + 3012*h**2 - 8905*h**2.\nAnswer: 155*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377833953?\nAnswer: 3049, 451897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1067.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 3. Let i(v) be the first derivative of 2*v**2 - 1\/3*v**3 - 3*v - 4. Let a be i(3). Determine r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102133130 - -12?\nAnswer: 102133202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173879, -173869, -173859?\nAnswer: -173849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 127 + 172ba4?\nAnswer: 17310b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/9 - 33536*t**3\/9 + 8221886*t**2\/9 + 16544384*t\/9 + 2762987\/3 = 0.\nAnswer: -1, 249, 33289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2519, 5017, 7451, 9797, 12031, 14129, 16067?\nAnswer: 17821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5988 + -5988. Let r = -7 + 7.3. What is the closest to r in 2, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x - 12. Let d be b(-5). Solve 5*q + d = -2*c, -4*c - 2 = 2*q + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/399, 69765, 0?\nAnswer: 69765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133411 (base 6) in base 11?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001528795 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*((-4)\/20 + 1). What is the third derivative of -13*a**2 - 131*a**3 + 131*a**3 - 8*a**4 + 23*a**o wrt a?\nAnswer: 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51144 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20164165 = 7*u - 231564165. What is u rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, u: 8}. Give prob of picking 2 e and 1 u.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 38, -5 in ascending order.\nAnswer: -5, -4, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - w**3 - 3*w**3)*((6*w - 4*w - w)*(20 + 54 + 12) + 2*w - 2 - 3 + 3).\nAnswer: 88*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/4837 + -4843\/14511. What is the closest to -172 in -0.1, n, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -377, -2, 21.\nAnswer: -377, -2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*z - 2. Let d be (z\/3)\/((-4)\/12). Let p(h) = 6*h. Give p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 = -119*m + 50*m + 1319 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -9*q**2. Let m(r) = -2*r + 3. Let n be 400\/70 + 4\/14. Let z(y) = y - 2. Let f(j) = n*z(j) + 4*m(j). Calculate f(c(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -306*q**3 - 3*q**2 - 110*q + 2. Let i(h) = -1221*h**3 - 13*h**2 - 440*h + 9. Let l(a) = 4*i(a) - 18*x(a). Find the third derivative of l(m) wrt m.\nAnswer: 3744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1503 + -1465. Calculate the remainder when 987 is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 9*l + 3. Let r be (-1 + 4)\/((-5)\/15). Let f be u(r). Suppose -x - f = -8. Solve -x*c = 25 - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 - -879. Let s = l + -667. What is the fourth biggest value in s, 0.2, -8, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*k + 547*k = -4718 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 1026 in decreasing order.\nAnswer: 1026, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 + 170*x + 24. Let u(k) = -6*k**2 + 170*k + 18. Calculate -3*p(o) + 4*u(o).\nAnswer: -3*o**2 + 170*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 185.2707 months?\nAnswer: 0.15439225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3248 = -628. Find the common denominator of (-34)\/14 + (-2)\/(-4) and (8\/(-120))\/(2\/h).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1461926, 1461908, 1461864, 1461782, 1461650, 1461456?\n\"Answer: -2*l**3 - l**2 - l + 1461930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3bc + -9cc2?\nAnswer: -9905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8496187103 - 8496186131.8882837. Let z = -1015.511695 + i. Let x = z + 44.4. Round x to 6 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2736 and 10347856?\nAnswer: 93130704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/4063? (a) 0.2 (b) -0.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 12*k - 12. Let w(a) = -3*a**3 + 99*a**2 - 98*a + 49. Let h be w(32). Give g(h).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b**3 - 3*b**2 + 2*b + 2. Let h be p(2). Let l = 149 + h. Let t = l + -7127\/19. What is the closest to 2\/3 in 4, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321427 (base 10) to base 3.\nAnswer: -121022220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -1) + (-4 - -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -105121110 divided by -7008074\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/55 < 0.98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2005687.5 to the nearest one hundred.\nAnswer: 2005700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 4*w, -12 = 5*d - 3*w - 3. Sort 38, 2, d in ascending order.\nAnswer: d, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 3*n + 12, c + 0 = 3*n + 3. Suppose -5*p + 61 = 2*j, -3*p - j - 52 = -8*p. Calculate the least common multiple of c and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 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 i be 4\/161*28\/8. Which is the closest to 23? (a) 1 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 18*f - 52. Let l(k) = 5*k**2 - 19*k - 51. Let z(h) = -5*l(h) + 4*w(h). What is the hundreds digit of z(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6544\/213429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 - 39*s**4 - 30*s**3 - 2*s - 48 + 30*s**3 + 46 as k*s**2 + m*s**3 + o*s**4 + b*s + g and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 - -0.09.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:05 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24662129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*g = x + 283, 3*g = 4*x - 1117. Suppose -571 = -i + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 154089271?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903495 != 2903495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Let a = -884\/7 - -126. Is u bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**4 + 2*s**4 + 0*s**4 + (4*s**2 + s**2 - 3*s**2)*(2*s**2 - 7*s**2 + 2*s**2) + 4*s - 4*s - 2*s**4.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -g + 5*m, -3*g = -7*m + 3*m - 5. Sort -2, -27, g in decreasing order.\nAnswer: -2, g, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3239562*v**3 + 21782962?\nAnswer: 9718686*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2202 and 40?\nAnswer: 44040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {q: 12, s: 7}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(f**3 - 48*f**5 + 46*f**5 + 9*f**3 + 2*f**2).\nAnswer: 2*f**5 - 10*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3805958?\nAnswer: 2, 13, 146383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74826786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 82884 (base 13) in base 8?\nAnswer: 711546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34861.78 hours in nanoseconds?\nAnswer: 125502408000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.046272 or 0.2?\nAnswer: 0.046272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416543 (base 12) to base 11.\nAnswer: 641831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 557*z + 4450. Give j(130).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n = 3*f - 593, 0 = 2*f - 4*n - 432. Let m = -3297\/16 + f. Let y = -3 - -2. Is m at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 165, 2, -5 in ascending order.\nAnswer: -5, -3, -1, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -776*g*q**2 - 603*q**2 + q wrt g?\nAnswer: -776*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from tttftptrptr.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*q - 11942 = 0, 2*q - 47782 = 61*u - 65*u. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 9. Let x(f) = 1. Let k be (-12)\/11 - 20\/(-220). What is k*c(t) - 4*x(t)?\nAnswer: 2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -1) + 59 + -68?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 - -7 - -4) + -9 - -3629 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 8, 42.59, -24\/13?\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*c - 2*f - 16, -3*c = -f + 4. Suppose 4*t - 2*r - 60 - 158 = c, -5*t - 3*r = -300. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -3491*d**8\/336 + 209*d**4\/12 + 2846*d**2. Find the second derivative of x(v) wrt v.\nAnswer: -69820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*i, 2*i = -v - 0*v + 2. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 - 2*n**2 + 1. Let o be p(-1). Suppose -6*t + o*z = -t + 23, 29 = -3*t - 2*z. Let x = -3 - t. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*(w\/(w\/w**(-2\/51)))\/w))\/w*w\/(w\/(w\/((w*(w\/(w*((w*w**(-2\/9))\/w)\/w))\/w)\/w*w*w)*w))*w)**(1\/14))**(-6\/23))**(5\/6) assuming w is positive.\nAnswer: w**(-625\/49266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-50))\/(3\/(-25)))\/((-40)\/96)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, 1.\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23 and 83\/22690620.\nAnswer: 22690620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 111, -14\/3, 4, 294 in descending order.\nAnswer: 294, 111, 10, 4, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -2\/357 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -63\/16102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, x: 2, o: 5, k: 3}. What is prob of sequence kko?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*z**2 - 25 - 29 - 28 + 82.\nAnswer: -377*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/145712 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, e: 2, g: 1, b: 2, o: 3, m: 1}. What is prob of sequence guo?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.031 - 4.569. Let r = a + 5. Let w = -0.2 + -1.8. What is the closest to -1 in r, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179 and 4055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -58*t**2 - 5*t - 58. Let g(f) = 4293*f**2 + 371*f + 4293. Let d(h) = 5*g(h) + 371*n(h). Find the first derivative of d(k) wrt k.\nAnswer: -106*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 587\/(-65)) + 301 + -310.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/((-2)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 13) to base 14.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23413?\nAnswer: 13, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -9, -4, -0.17, 3\/2 in increasing order.\nAnswer: -9, -4, -0.5, -0.17, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-2 - (-31 - (10 + 5 - 30))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29602807*t**3 + 13 + 29602803*t**3 - 9 - 4.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 1489 = 4*a, 1185 = 4*c - 3*a. Suppose c*w + 248 = 293*w. What is the third smallest value in w, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 30 = 24*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from kkxkkkkzzkxzkzkxxkk?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-23)*m\/((m*m**2\/m)\/m*m)*m**(-5)\/(m**(5\/4)*m) assuming m is positive.\nAnswer: m**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n + 40*n - 66 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 6. Let c be a\/2 + 7 + 32. Round c to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 12:31 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*f + 5. Suppose -5*n = f*x - 4, -n - 5*x - 23 = -7. Suppose 2*a = n*a - 4. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v. Let p(c) = 3318*c**2. Calculate p(o(g)).\nAnswer: 13272*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 18636*j + 84574512\/7.\nAnswer: -2*(j - 65868)*(j + 642)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epiu when four letters picked without replacement from neppujjppunjinu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + o**2 - 3*o + 3. Let a(t) be the first derivative of t**4\/2 - 3*t**2\/2 + 2*t + 13. Give -3*a(l) + 2*n(l).\nAnswer: -2*l**3 + 2*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -120. Let s = q + 9. What is the highest common factor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (4 + 0 + -32)) + 24.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.29, 0.1, 4?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 708.9896 litres in millilitres?\nAnswer: 708989.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77887766 divided by 11.\nAnswer: 7080706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -x - 2*t + 4*t, 3*x - 2*t - 1100 = 0. Let z = x + -252. Calculate the remainder when z is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i + 4*y = -35*i + 12, 0 = -2*i + i - 18*y + 52 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 144\/54*3\/2. Solve -2*d = -w*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 46, 73, 106?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 622\/(-630))*((-160809)\/242 + 667).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -3 (c) -59 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53578 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*d + 352, 0 = 3*z - 16*d + 11*d - 1056. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -363, -727, -1091, -1455, -1819, -2183?\n\"Answer: -364*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -17 - (-4 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -352\/7 - -50. Which is smaller: j or -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 55627150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*w = 18*w + 102 + 2334. Which is smaller: 689\/17 or w?\nAnswer: 689\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 9 = 5*u. Let d = 7 + u. Let c be d\/4*(-12)\/(-15). Solve 1 = -c*r - 1, 0 = 5*l + 4*r + 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 19*w**8\/56 - 8*w**7\/21 + 10*w**4\/3 - 599*w. Find the third derivative of u(c) wrt c.\nAnswer: 2280*c**3 - 960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*(0 - -1))\/((-20)\/9780) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 = 2. Let w = z + 5. Suppose l + 5*y + 12 = y, 2*l + 4 = -w*y. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 + 19*z + 26. Calculate u(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 403538 = -37*p + 146231. What are the prime factors of p?\nAnswer: 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*y**2 + 35*y + 138 wrt y.\nAnswer: 12*y + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*j**2*p - 5*a**3*p**2 - 40*a**3*p - 2*a**2*j**2*p**2 + 2*a**2*j**2 + 13*a*p**2 wrt a?\nAnswer: 12*j**2*p - 30*p**2 - 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751864225 to the nearest integer?\nAnswer: 41855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + -3*sqrt(704) + sqrt(704))*-6 - 5*-5*(sqrt(704) - sqrt(704)*3))*3)**2.\nAnswer: 9149184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -18 - (-79 + 80)) + 9\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.067089um?\nAnswer: 0.009067089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 12, s: 2, m: 3}. Give prob of sequence sm.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1933 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-10) - (-12)\/(-20). Which is bigger: s or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*1\/2*70\/35\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 40 + 134. Let g(r) = r**2 - 10*r - 11. Let y be g(13). Let f = y - a. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -35860?\nAnswer: -35860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m + 9 + 7406*m**2 + 125*m - 7363*m**2.\nAnswer: (m + 3)*(43*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -952*f**2 + 2734 wrt f?\nAnswer: -1904*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(448) + 1.\nAnswer: -3 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4ba253 (base 12) to base 5\nAnswer: 304203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-10)\/k*k**(-26)\/k)\/(k*k*k**7\/k)**19)**2 assuming k is positive.\nAnswer: k**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**2 - 10*c - 434. What is n(23)?\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 291243385 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z + 8. Let a be u(0). Suppose 1 + 55 = -a*d. Let t(j) = -j**2 - 7*j - 7. Let k(o) = -o - 1. Let c(x) = k(x) + t(x). Calculate c(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 9*a + 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a872 + 9?\nAnswer: -2a867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(7\/3)*h*h**8)**(3\/20))**38 assuming h is positive.\nAnswer: h**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3573481*s + 21440890. Give c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 27*k**2 - k - 2. Determine y(-27).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.01, 18, 0.3, -1\/4 in decreasing order.\nAnswer: 18, 6, 0.3, -0.01, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -560*b**3*h**2*x**3 + b**3*h**2*x + 2*b**2*h**2*x + 1942*b**2*x - h**2*x**3 wrt b.\nAnswer: -3360*h**2*x**3 + 6*h**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-90)\/21)\/((-4)\/21)*760. Round m to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-762)\/1143*(-18)\/52\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27812108 and 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1996 - 1996 + 58*d)*(-d - d**3 + 4*d**3 + 3*d).\nAnswer: 174*d**4 + 116*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1133, 2433, 3733?\n\"Answer: 1300*z - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.026, -2\/17, 1, -6?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 2, n: 1, y: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 + 60 = 4*c, -5*c - 120 = -5*r. What is the highest common divisor of 200 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -798925.\nAnswer: -1\/159785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3134150 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3458)\/65 + -5 + (5\/(-75))\/(7\/189).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976 is divided by 140.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 256659 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248058579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25459742 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -4. Solve 5*m - 3*g + 5*g + 8 = 0, 5*m - 2*g = z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*o = 5, 0 = -3*f - 5*o - 18 + 58 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcyuyqrn. Give prob of sequence yrrn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37101698*d**3 + 158*d**2 - d - 719?\nAnswer: -222610188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 470*x**3 + 3*x**2 + 2*x - 45. Let f(q) = -472*q**3 - 4*q**2 - 3*q + 44. Let r(h) = 3*d(h) + 2*f(h). What is the third derivative of r(n) wrt n?\nAnswer: 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqjwjccccq. What is prob of picking 2 c, 1 j, and 1 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 185 + 3?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 8*w**2 - 14*w + 14. Suppose -50 = -5*q + z, -2*q + z = -4*z - 20. Let h be x(q). Let f = 10 + h. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-247)\/304)\/13)\/((1\/(-10))\/(-1))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 86 = 4*d - 218, w - 244 = -3*d. Let h be 7*(1080\/35)\/6. Suppose -h - 204 = -6*p. What is the highest common divisor of d and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 98. Calculate r(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598184737?\nAnswer: 53, 30154429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k - 9*k**3 + 7*k**3 - k**2 + 4*k to the form y*k + p*k**3 + t + w*k**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 441524613 and 0.8124.\nAnswer: 441524613.8124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*b**2 - a**2*b**3 - 45*a**2*b**2 - 6*a*b + 2*a - 18*b**3 wrt a.\nAnswer: 12*a*b**2 - 2*b**3 - 90*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 282, 512, 692, 822, 902, 932?\n\"Answer: -25*o**2 + 305*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.27018 take away -3?\nAnswer: -54.27018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35883715 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 - 72*k**2\/13 - 8874*k\/13.\nAnswer: 2*k*(k - 87)*(k + 51)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.06*-718.\nAnswer: 7223.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 432, 1222, 2366, 3864, 5716, 7922, 10482?\nAnswer: 13396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(y**2 + y**2 - 3*y**2) + 123*y**2 - 278*y + 278*y.\nAnswer: 127*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.175 - 58.825. Let r = 58.999999595 + c. What is r rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g**3 + 40*g**2 + g - 5. Let c(p) = -p**3 + 2*p**2 - 1. Give -6*c(o) + i(o).\nAnswer: o**3 + 28*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -62, -103, -148?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -323*h**3 - 5*h**2 + 7.\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-16)\/(-32))\/(1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**3\/3 - c**2\/2 - 8*c + 3. Let g(q) = 4*q**2 + 2*q + 15. Suppose 3*b = 1 - 16. Let j = 1 - b. Calculate j*g(p) + 11*m(p).\nAnswer: 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821132 is divided by 23460.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/9)\/(-11)*-2. Which is the third biggest value? (a) l (b) -1\/50 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -384*r**2 + 45*r - 53. Calculate p(1).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let j be -3 + z - 4\/(-2). Calculate the greatest common divisor of 4 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37715153 and 2309091?\nAnswer: 113145459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 15. Suppose w = l*q + 5*w, -3*w = -2*q + 17. Suppose 7*o + 3*o - 90 = 0. Calculate the least common multiple of q and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 7*s + 3. Let k be y(7). Suppose -m + 4*t = -k*m + 10, -4*m = -3*t + 2. What is m rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 13*c**2 + 3. Let v be t(-13). Suppose -v*q + 10 + 5 = 0. Let b be 2\/4 + 22\/4. Solve s + 4*i = b*s - 12, q*s + i = 22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34.9, -1\/3, 18, -4, -3, -1\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -33*q**3 + 12*q**2 - 23*q - 9. Is g(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -1 - (145 + -127).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 6)*(-2*v + 5*v + 0*v) + (0*v + 4*v - v)*(1 + 0 - 2) to g*v + z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2*22 + -15 + (-6 - -14))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i - 6*c, 4*i + 2*c - 7 = 41. Solve -5*p - 20 = 0, 5*p + 8 = 3*r - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -5, 2 in descending order.\nAnswer: 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -322\/5. Suppose -2*j = 5*y - 33 + 360, -4*j = -5*y - 351. Let q = -61 - y. Which is the nearest to p? (a) -2 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 - (10 + -15)) + -20 - (39 + 1)) + -9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y**2 - y - 1. Let p be x(-1). Let g be (-3)\/(-1) - (7 + p). Let t(i) = i - 4. Calculate t(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 + 2*n**2 - 1\/240*n**5 + 0*n + 1\/96*n**4 + 0*n**3. Factor c(g).\nAnswer: -g*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7 = -8*j + 9*j, 8 = -4*j + d. Let o be (((-280)\/(-147))\/10)\/(4\/9). What is the closest to j in 1, 1\/7, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29757758158532+0\nAnswer: 29757758158532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-36)*(p**14\/p)\/p)\/(p**(-2\/51)*(p\/p**(2\/7))\/p*p*p*p) assuming p is positive.\nAnswer: p**(-9523\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let w(z) = 0 - 46*z**2 + 10*z + 47*z**2 - 8. Let n(a) = -6*q(a) - w(a). Give n(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*i + 162 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578, -635, -680, -707, -710, -683, -620?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + ((-44)\/12 - -6). Let o = -2 + 1. Sort c, 5, o in descending order.\nAnswer: 5, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n + 2*n + 8 + 0*n + 13. Let w be q(0). Let b = w + -16. Solve 2*r - b = -15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(15\/(-135) + 4\/(-45))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/(-24)*(-4)\/6. Solve -2*j + 5*i = 20, -5*j = -n*j - 4*i + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 2*w**3\/3 - 57*w**2\/2 + 1202*w. Determine f(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 + n. Let z = 21 - 28. Let k(u) = u**2 + 9*u + 11. Let c be k(z). Let q(m) = m**2. Let h(g) = c*q(g) - w(g). Determine d so that h(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.11 (b) 1 (c) -0.3 (d) -5243 (e) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(4*(-21)\/(-112)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 711 - 723. What is the third biggest value in c, 0.01, -3, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1366725041 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 15139 - 7548 = 7563 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2335 - 2331. Put 2\/9, -10, b in decreasing order.\nAnswer: b, 2\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2265*r - 29624 - 39162 - 5137 = -12768 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995 - 982 - (-26 + (-2 - -4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1511 - -5?\nAnswer: -1507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -46, 1, 5 in decreasing order.\nAnswer: 5, 1, 1\/10, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2 - 14*n + 869. Let v(j) = j**2 + 4*j - 290. Determine 2*k(t) + 7*v(t).\nAnswer: -t**2 - 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 105922094407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41916*j**3*z**2 - 107586*j**3 + j*z**3 with respect to z.\nAnswer: -83832*j**3*z + 3*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5786 and 3899764.\nAnswer: 3899764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + (0 + sqrt(11) - sqrt(11)) - sqrt(99)*1)**2)*6.\nAnswer: -180*sqrt(11) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 234463 + 233735 = 0 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(52))*5 - (-2 + sqrt(7488))**2) + -5 + (sqrt(13) - (2*sqrt(104) - sqrt(104))\/sqrt(8) - (sqrt(13) + 3 + 2 + sqrt(13))).\nAnswer: -7512 + 104*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 9 = -5*p, 0 = -4*a - p + 25 - 10. Let v be (-3)\/2*(-32)\/12. Suppose -8 = -4*r - 4*k, -5 = v*k - 1. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90144474 divided by -2\nAnswer: 45072237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/20 - 7*k**4\/12 + 7*k**3\/6 + k**2 - 11*k + 9. What is p(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 87\/7939?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.95 + -8.45. Which is the nearest to -2? (a) -5 (b) 0.1 (c) u (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 18?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (52\/(-8))\/((-2)\/4). Let s = g + -17. Let k be (-80106)\/(-9) + s\/6. Round k to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let k = -10 - -9.81. Let f = k - 2.81. Which is the second biggest value? (a) 0.5 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/160458 and -65\/1090204.\nAnswer: 153718764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 19*c**2 + 20*c - 25. Let s be y(18). Suppose -s*a = -12*a + 6. Solve -4*f - a = 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/52 - (-315)\/65. Solve 0 = -2*x + 15 - y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1\/2*80\/15. Let k be u\/(30\/(-20)*(-2)\/3). Solve k = -3*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i + 21*i - 11*i)*(-i - i + 0*i).\nAnswer: -38*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*t = 2*u + 86, -2*u + t = 46. Let s = -16 - u. Let k(f) = -f**3 + 9*f**2 - 6*f + 12. What is the units digit of k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-15) - 4 - 2\/4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 at least 124083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 3 - 44)*(2*q + 10 - 10).\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/12 - 91\/(-15))\/(12\/30). Solve -5 = -5*k, 4*o + 12*k + i = 7*k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33316519109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = -5*w + h + 46, -5*w = 3*h - 566. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 199032.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 59*a - 393. Let k be n(7). Let i be 2 + 20 + 0\/(-1). Let v = k + i. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqssvskskcksq. Give prob of sequence sqs.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21990418 - 21990418 - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3345 divide 69138082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23198860 divided by 4639772.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > -467183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**6\/39 - 2*s**5\/65 + s**4\/26 + 2*s**3\/39 - 5. Factor q(b).\nAnswer: -2*b**2*(b - 1)*(b + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -4 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/9 + (-3)\/(-9). Find the third derivative of n*a**6 - 4*a**2 - 9*a**6 + 6*a**6 wrt a.\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26*(-3 + 35\/10). Let p(k) = k**2 - 12*k - 8. Let i be p(m). Solve 0 = -4*l + 3 + i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 6427*j**2 + 19274*j + 12848.\nAnswer: (j + 1)*(j + 2)*(j + 6424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68*20\/(-6)*(-189)\/(-756)*(-9)\/10?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/6, 102, 0.3 in increasing order.\nAnswer: -1, -5\/6, 0.3, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 1. Determine h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 463 (b) -1\/4 (c) -4\/3 (d) 3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 9525)*(-4)\/8. Suppose -3*m = 12, 2*p + 7*m - 3*m - o = 0. Round p to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1391 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:03 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 + 3*f**4 + 693*f**3 + 633*f**2 - 3342*f + 2016 = 0 for f.\nAnswer: -14, -3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:23 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637777.\nAnswer: 7, 179, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 1. Let y be b(-4). Suppose -3*g + 1206 = n, g + y*n - 8*n - 402 = 0. Suppose 33*v = 31*v + g. List the prime factors of v.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(242))*-3 + sqrt(242).\nAnswer: -22*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(2 - (-20)\/(-5)). Let c be (-5 - -2)\/3*j. Let h be -2*((-2)\/(-4) + 0). What is the nearest to 9 in -0.2, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m + 114 - 156. What is the highest common factor of 66 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256630 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3096*i + 21689. Determine u(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(2*s**5 - 3*s**5 + 3*s**5) + (2*s - 9*s - 4*s)*(-7*s**4 - 34 + 34).\nAnswer: 71*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let g(b) = 2*b - 1. Let o be g(-2). Let a = 14 + 20. Let p(u) = 2 + 39*u - a*u - 8. Let c(h) = -4*h + 5. What is o*p(y) - 6*c(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -100. Suppose -j*p = -6*p - 5*r + 71, -4*p = -r - 53. Suppose -5*t = -3*m - p, m - 6 = -t - 0*t. Solve -2*k + 6 = t, -2*k + 10 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 13 = -3*b - 3, 0 = -b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/3 + 50*k**2\/3 - 16*k - 768.\nAnswer: -(k - 48)*(k - 8)*(k + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -0.5, -2, -0.171 in descending order.\nAnswer: 5, -0.171, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3))**(8\/11)\/(((s**(2\/15)\/s)\/s)\/(s\/(s**(7\/8)\/s*s))) assuming s is positive.\nAnswer: s**(1349\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 3*u. Let r be o(6). Let n be 0 - (4\/r)\/(-1). Let k = -5\/9 - 1\/9. Which is the nearest to -1? (a) -0.1 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 112*y - 5. What is r(-112)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 0.83. Let l = p + -0.03. Which is the closest to -2? (a) l (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9232632.7 to the nearest 100000.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32083840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 8*f**2 + 9*f + 2. Let x(y) = -17*y**2 - 18*y - 4. Determine -7*j(u) - 3*x(u).\nAnswer: -5*u**2 - 9*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17808 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1646544 days?\nAnswer: 14226140160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -587, -489 in decreasing order.\nAnswer: 9, -489, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + -2160.199.\nAnswer: -2170.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.207 - 0.087. Let p = r - 0.2297. Round p to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40128*v - 2 + 6*v**2 + 4 + 40128*v to the form w*v**2 + t + q*v and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjuzjv. Give prob of picking 2 j and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*t - 4, -86*f + 83*f + 13 = 4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18\/36*(-18)\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -2. Let x = 131\/1540 - 5\/44. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -24*g - 4. Let x be u(-6). Suppose 0 = 2*b - 181 - 43. Let c = b + -92. What is the highest common divisor of x and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 24*k - 26*k - 26, -9*k - 87 = -5*k - 3*q for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 209849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7028048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5\/3, -51 in decreasing order.\nAnswer: 2, 5\/3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 234079, 467497, 700915, 934333?\n\"Answer: 233418*v + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n\/n**(6\/11))\/((n**(-4\/7)*n)\/(n\/(n*n*n\/n**(-7)*n)*n)) assuming n is positive.\nAnswer: n**(-1153\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -3*x**3 + 980*x. Let c(z) = z**2 + 6. Determine c(s(i)).\nAnswer: 324*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/2 - 3657*y**3\/2 - 425787*y**2\/2 - 840599*y\/2 - 209235 = 0 for y.\nAnswer: -111, -1, 3770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 37454238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffeaaaae. Give prob of picking 2 a.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 667b5 + 1a9?\nAnswer: 669a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3*sqrt(216)*1)\/(((sqrt(648) - (sqrt(648) - (sqrt(648)*2 - sqrt(648)))) + sqrt(648))*5).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -23. Let r(y) = -16*y**3 + y**2 - 1. Let i be r(-1). Calculate the remainder when (-6)\/(-8) - 14\/i*-30 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - k**4 - 2*k**4 + (2*k**3 - 3 + 3)*(k - 3 + 3) + 948 + 3*k**4 - 7*k**4 - 990 as w + h*k + s*k**3 + d*k**2 + y*k**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:01 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/819 - 1619\/15561. Let w be 3 + -3 + 2\/3. What is the nearest to w in j, -0.2, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33985656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4801008 is divided by 320067.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.44 - -58. Let v = 2.44000193 + k. Round v to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(2*u**2 - 2*u**2 + 2*u**5) + (-3*u**4 + 2*u**4 + 2*u**4)*(-10 - 3*u + 10) + (2*u**2 - 3*u**2 - u**2)*(-u**3 + 2 - 2).\nAnswer: -5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 42037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 4662*h - 4663 = 0. Calculate h.\nAnswer: -4663, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*o - 34 = 0, 3*p + 4*o + 0 - 4 = 0. What are the prime factors of 26*(-2 + 28\/p)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 + -704. Let y = -661.3 - w. Let f = 39 + y. Which is the third smallest value? (a) -3 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2241000555756 plus -0.5?\nAnswer: -2241000555756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1568)\/784)\/((-94)\/(-3))*2\/1\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + 3. Suppose 2*h - 12 = v. Calculate the greatest common factor of h and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1852\/5 - 370. Factor 4\/5*m**3 - 2\/5*m - 4\/5*m**2 + k + 2\/5*m**4 - 2\/5*m**5.\nAnswer: -2*(m - 1)**3*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*b**3*s**3 - 25*b**3*s**2 + 6*b*s**4 + 7*b*s**2 wrt s?\nAnswer: 666*b**3 + 144*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1360139099, 1360139100, 1360139101, 1360139102?\nAnswer: 1360139103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 1, y: 2, n: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u - 6*u - 4*u + 3)*(5*u - 3*u - 4*u).\nAnswer: -20*u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*z - 30, -47542*z = -3*n - 47543*z + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/12 + -39*(-582)\/108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95356 at least as big as -95353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2. Let f = -4 + 12. Suppose -5*g = 5, 4*g = f*k - 4*k - 100. Let h(v) = -k + v + 24 + 2*v. Calculate h(t(n)).\nAnswer: 21*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**6 - 5*h**2 + 12*h**2 - 3*h**2 + 2*h**2 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -587, -332, 357, 1696, 3901, 7188, 11773?\n\"Answer: 36*r**3 + r**2 - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 2*z - 110637 + 110637 - 8*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 10:44 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4 - 76*o**3 - 214*o**2 - 140*o = 0. What is o?\nAnswer: -35, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4145*x - 18480 = 4152*x. Which is smaller: x or -2639?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24107.97 to the nearest one hundred.\nAnswer: 24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqq when three letters picked without replacement from {f: 5, q: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 137\/5 + 4\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.511 + 0.011. Let c = j + 109. Let u = 21.6 - c. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256165560 divided by 18\nAnswer: 14231420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 2*m - 2*h - 6, -3*m - 86 = 2*h. Let k = m + 33. Solve 2*x + 14 = k*d, -d - 5*x + 4*x = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, u: 5}. Give prob of picking 2 b and 1 u.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 7*q - 2. Let r be w(6). Let h be r\/5 - 6\/10. What is the second derivative of y - 5*y**h + 2*y + 0*y - 2*y wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 6*y - 21. Let p be u(6). Solve -73*w**4 + 4*w**3 + 6*w**5 + p*w**4 + 6*w**2 + 6*w**3 = 0.\nAnswer: -1\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 29672*u + 16 - 2 + 8 - 14)*(2 - 2 + 1).\nAnswer: 29672*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 174 - 279. Let j = z + 155. What is the greatest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvlxvll. What is prob of picking 1 x and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11504919548904 and 0.2.\nAnswer: -11504919548903.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320863 to the power of 1\/2, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.045 and -1.\nAnswer: -5.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -6 (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 9:40 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1487 + -1470. Let y(a) be the third derivative of -t*a**2 + 0*a**3 + 5\/6*a**4 + 0*a + 0. Let z(o) = 2*o**2. Calculate z(y(u)).\nAnswer: 800*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = -0*i. Let c be (-8)\/20 - (-51)\/15. Find the second derivative of -28*s**i + 28*s**2 - s + s**c wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = -33 - 79. Let l be -2 - -2 - (n + 6). Sort l, -4, -2, 0.\nAnswer: -4, -2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2077\/5801 or -0.7?\nAnswer: -2077\/5801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35391.3 or 0.1?\nAnswer: -35391.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3882 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 195018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4234977 is divided by 344?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*z**2 + (-4 + 5*z + 4)*(2 - 2 + z) + 0*z + z**2 + 0*z + 3*z**2 - z**2 + 4*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20422 + -20421.7. Which is the second smallest value? (a) -0.4 (b) 6 (c) j (d) -1 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 78, -4 in descending order.\nAnswer: 78, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 2, d: 9, p: 2}. Give prob of sequence dsdp.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49843?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*z**2 - 1\/3*z**3 + 0 + z = 0. What is z?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccddyyycyyydycydy. Give prob of picking 2 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 79662.\nAnswer: 557634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45632 (base 7) in base 2?\nAnswer: 10110101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 178*t + 378*t + 244*t - 27*t - 133*t. Let g(v) = 2*v**2. What is g(i(p))?\nAnswer: 819200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -3?\nAnswer: 134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1182 and 24?\nAnswer: 4728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(17) - sqrt(17)*2) + -2 + (2*sqrt(1088) + 4)**2 + ((sqrt(153)*-3*3)\/(-3*sqrt(225) - sqrt(225)))**2.\nAnswer: 127*sqrt(17) + 1748577\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + 0 - (-6 - -6)) + -181 + 185.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -63410652?\nAnswer: -63410662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ennnnnnnnnccnen. What is prob of picking 2 c and 1 e?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -26. Suppose 25 = -3*n + j. Suppose -b - 16 = 5*d - 0*d, 0 = -3*b + n*d + 24. Solve -b*w + 20 = -2*v, 5*v - 2*w - 7 = -25 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -6.59, -0.1, 2.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 28*x + 13*x + 3*x + 3*x + 58.\nAnswer: 2*x + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4\/5 + 710694*q**3 + 1052265973539*q**2\/5 + 420904257336*q + 1052258866608\/5 = 0.\nAnswer: -592244, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -18.5 and 0.13.\nAnswer: -18.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 16. Which is bigger: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 47*l + 169. Let o be t(-4). Let c(n) = 4 - 1 - 5*n**2 - 2*n**2 + 8*n**2. Determine c(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4\/p**(-2\/17)*(p*p**0)\/(p**(-4)\/p))\/((p**1)**10\/((p*p*p**4)\/(p**(4\/3)\/p))) assuming p is positive.\nAnswer: p**(295\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 2443?\nAnswer: 3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-125)\/(-65) + 1 - 3. Let x be 4 + (-44)\/(-52) - (-6)\/39. Which is the third biggest value? (a) x (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 3*k**2 - 1\/12*k**4 + 0*k + 1\/6*k**3 + 0. Determine b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqggpggppwpqug. Give prob of sequence lpqw.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-1)\/sqrt(11) + sqrt(19) + (-1*sqrt(1539) - sqrt(1539))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 6:50 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*m - 277*m = -392 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 4, 13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 2. Let b(c) = -c + 1. Let q(d) = d - 1. Let a(n) = n - 8. Let m be a(7). Let y(z) = m*b(z) - 2*q(z). Let o be y(-4). What is j(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*l - 16. Suppose -1 + 13 = l*n. Suppose -n = 2*q + 4*y, 5*q = y - 2*y + 8. Solve -4*x + 4 = -q*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g - 1. Let i be -3*(-77)\/9 - (-2)\/6. Suppose -i*j - 96 = 6*j. Determine r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(156)\/sqrt(48) - (sqrt(78)\/(sqrt(6) - (sqrt(12)\/sqrt(2) - sqrt(6))))**2.\nAnswer: -13 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1226746 - 0.36.\nAnswer: 1226745.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = q - 7, s = 3*q + 1 - 14. Let p(u) = 8*u**2 + 2*u + 4. Let z be p(q). Let t = z + 31. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 9, p: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaasasa. Give prob of sequence sa.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745320686.\nAnswer: 2, 11, 59, 283, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56240 by -5.\nAnswer: -11248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4. Let x(w) = -2*w - 64. Let f(a) = -5*x(a) + 20*z(a). Is f(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 2*f**5 + f**5 + (-3*f**3 + 0*f**3 - f**3)*(-3*f**2 + 3*f - 3*f) + (-f**5 - f**5 + 3*f**5)*(6 + 14 - 10).\nAnswer: 23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 3*v + 2. Let o(m) = -m**2. Let z(y) = g(y) - 4*o(y). Let n(b) = b**3 - 6*b**2 + 4*b - 2. Give -3*n(p) - 4*z(p).\nAnswer: -3*p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/148312 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - s + 13 = 0, -2*s = -t + 3*t - 10. Let m = 5.93 - -0.07. Let q = 3 - m. Which is the second biggest value? (a) q (b) t (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:07 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29fd6 (base 16) to base 10.\nAnswer: -171990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -0.1602.\nAnswer: -4.8398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from vviwivvbvi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 185 - 512*r - 185 + (r - 2*r + 0*r)*(1 - 3 + 4).\nAnswer: -514*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**2 - 6*r**3 - 141 + 141 wrt r?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6118829872\/1743 - 3510516. Let d = 2\/249 + k. Let j = -0.9 + 0.9. Which is the nearest to d? (a) -0.2 (b) 3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1888.9 - -0.4.\nAnswer: 1889.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2 = 0, 3159*v - 3127*v = n + 482 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 4*i - 33. What is h(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -12*h**2 + 29*h + 5. Let x(l) = 6*l**2 - 14*l - 2. Let z(n) = 3*c(n) + 5*x(n). Let v(j) = -j**2 + 3*j + 1. Let w(y) = 5*v(y) - z(y). Factor w(s).\nAnswer: s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v + 5. Let u be l(0). Suppose 3*k - 40 = u*w - 2*k, 4*k - 22 = 2*w. What is the second smallest value in -0.3, 3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1858*x - 217*x - 1643*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/66)\/(186802\/1761276).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -15128\nAnswer: -15131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 6*v**2 - v - 27. Let b be f(7). Put -4, 2, -1, b in increasing order.\nAnswer: -4, -1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r + 49*r - 4429 + 1101 = 0 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2625*b**3 - 54*b**2 - 6*b*d + 616362*d + 5 wrt b.\nAnswer: 7875*b**2 - 108*b - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + 46 + 84 + -125.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2067*d. Let j(w) = -2*w. What is g(j(t))?\nAnswer: -4134*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1018, -4051, -9096, -16147, -25198, -36243, -49276, -64291?\nAnswer: -81282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*i + 33270 = -4467 + 10531 - 18532 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 336*i**2 - 7*i + 3*i + 7*i - i to k*i + u + x*i**2 and give x.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*m = 3*q - 9*q - 4104 + 4068, 2*q + 7 = 7*m - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/9 + (-6)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -21, 0, -446?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.958. Let j = -17.958 + m. Let g = -17.99958 - j. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**2 + 15*f - 4. Let b = -898 - -909. Suppose -4*i + b = z, -12 - 6 = 2*z - 2*i. Let t(r) = 2 + 2*r**2 - 5*r**2 + 0 - 7*r. Give z*t(k) - 2*l(k).\nAnswer: k**2 + 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 8*s + 9. Suppose -3 = 3*y - 12. Let d be (12 - 2 - y)*1. Let w be r(d). Solve 0 = w*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 107292 = -5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 - 2. Let l(o) = 644*o**3 + o**2 - 10. Let s(i) = l(i) - 3*m(i). Is s(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 904530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1264.3831 and 0.42589647.\nAnswer: 1264.80899647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -63*q**4 + 516*q**3 + 1653*q**2 - 5286*q + 1560 = 0.\nAnswer: -4, 1\/3, 13\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2815156.43622 - 3.\nAnswer: -2815159.43622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*w + 2*w + 746, 5 = -w. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.7072l in millilitres?\nAnswer: 521707.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10258648259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4549.83\nAnswer: 4547.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + j**2 + 1. Let k(b) = -9*b**3 + 4*b**2 - 2*b + 2. Give 5*c(w) - k(w).\nAnswer: 4*w**3 + w**2 + 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 5:10 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 9*b**2 - 8*b - 42. Let d be n(7). Let l = -13 + 8. Put l, d, 5, -3 in ascending order.\nAnswer: l, -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1160 and 15643064.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12*(-5)\/(-105) + (-376)\/(-28))\/1. What is the highest common divisor of i and 2387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opo when three letters picked without replacement from {j: 4, o: 2, p: 7}?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4 - ((-969)\/(-95) - 10)*645\/588.\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*f + 5*r + 8 = -58*f, 0 = -5*f - 4*r - 35. Which is the biggest value? (a) 1 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from {i: 6, b: 4, k: 3}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92 + -88. Find the second derivative of -15*g + 22*g**b + 3*g - 11*g + 3*g wrt g.\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 21 = -4*c, 2*j - 14 - 12 = -4*c. Let t(f) = -f**3 + 6*f**2 + 2. Let b be t(c). Put b, -13, -4 in increasing order.\nAnswer: -13, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t - 4*q, -q = -3*t + 4*t - 1. Let u be t - 1 - (1 + -2). Let g be 7\/u - (-7 + 10). Which is smaller: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(63) - 3*sqrt(252))\/(sqrt(576) + sqrt(576) + sqrt(576)*3).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 528 + -447. Suppose 54 = 2*m - 13*v + 8*v, q = 3*m - 3*v. Calculate the greatest common divisor of 1188 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 782 < -77072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6450 + 38789\/6. Calculate the common denominator of r and -81\/724.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (2 + -1) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - d**2. Let k(a) = -a**3 + 7*a**2 + 2*a - 9. Let m be k(7). Let f be (2 + 16\/(-10))*m. What is the tens digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224571352 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 557*x**7\/14 + x**3\/2 + 135*x**2 + 69*x. What is the second derivative of s(b) wrt b?\nAnswer: 33420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19632, 5, -1, -3 in ascending order.\nAnswer: -19632, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/74303 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*y + 4*y + 3 = 0, 4*y = -4*k - 36. Let f(q) = -48 + 23 - q + 23. Let h be f(k). Solve -h*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:56 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2418 - 2421. Suppose k + 1 + 3 = 0. Sort 5, k, w, 4.\nAnswer: k, w, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 15 = -x. Let k(t) = 5*t + t**2 + 6 - 16*t**3 + 9*t**2 + t + 17*t**3 - 4*t**2. Calculate k(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 24 = 4*i, 2*r - 6*r - 8 = 0. Sort 6, 7, i in ascending order.\nAnswer: i, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -109.81. Let k = -0.41 - c. What is the third biggest value in -1\/4, -34, k?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574 is divided by 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340 or 342?\nAnswer: 342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 5*i - 48, 3*i = 3*h + 54. Let l = h + 8. Let f = 7 - l. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79541 = -3350*g + 2317*g for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 5, a: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*((0 - 0) + -7). Let d(n) = -n**3 + 8*n**2 - 7*n + 2. Let z be d(q). What is the derivative of z + 2*f**2 + 0 - 1 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -940*l - 941*l + 1881*l + 1310*l**2 + 545*l**2 to q + i*l + a*l**2 and give a.\nAnswer: 1855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 12*v**2. Let y(n) = -480*n**2 + 1200*n - 1800. Let h(r) = -r**2 + 2*r - 3. Let w(q) = -600*h(q) + y(q). Calculate w(u(a)).\nAnswer: 17280*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 8:26 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**4\/6 + t**3\/3 - 17*t**2 - 55*t. Let j(v) = -2*v + 9. Let c be j(6). What is d(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 - 6*v + 3. Let j = -10165 - -10169. What is z(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -568, -1131, -1694, -2257, -2820, -3383?\nAnswer: -3946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 - 43*j + 408 = 0.\nAnswer: -51, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*y - 739. Suppose 4*v - 4*z = -12 + y, z = 4*v - 179. Suppose 2*t - 5 + 118 = 5*r, 2*r - t - v = 0. Is r 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 389826983?\nAnswer: 7, 13, 17, 59, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7) + (-51 - -62) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -56*w + 581. Let u be x(5). Solve 0 = 6*a - 49*a + u for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28886?\nAnswer: 2, 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -5, 5, 3, 0, 192?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -7. Let t = i - -6. Let l = -1 - -2. Which is smaller: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163153352 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 11 (b) 0.04 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -3.9. Let i = -0.4315 - 0.0685. What is the nearest to n in 1\/5, -3\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 3. Let b be t(3). Suppose 0 = -4*w + 9 + b. Factor 1\/5*o**4 + 3\/5*o**2 - 3\/5*o**w - 1\/5*o + 0.\nAnswer: o*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 21, -0.1, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 63*j - 12*j to the form x + r*j and give r.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*q + 1 + 4 - 5 to p + b*q and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 106\/11, 297, -5 in decreasing order.\nAnswer: 297, 17, 106\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44698 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 123\/(-9) - (-8)\/12. Let a = c - -18. Solve a*p + 4*f - 35 = -6, -3*p - 4*f = -19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -207*n**2 + 9*n - 48. Let s be q(9). Let g = 8766 - s. What is g rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 78*s**2 + 78*s + 74. Let q be w(79). Sort 6, q, 8, -4 in decreasing order.\nAnswer: 8, 6, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27160, 27156, 27150, 27142, 27132, 27120?\nAnswer: 27106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 153841 = 21*t - 17*t, -3*j = 4*t - 92343. What are the prime factors of j?\nAnswer: 30773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58624 rounded to the nearest 1000?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1020 = -m. Calculate the common denominator of -61\/20 and (-1)\/(-2) + m\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-72 - -13) - 2.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, y: 4}. What is prob of picking 1 y and 1 t?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 16*m + 2. Let x(v) be the second derivative of 13*v**4\/12 + 787*v. Give g(x(f)).\nAnswer: 208*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -0.3 (c) 6.39 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(637) + sqrt(637) + sqrt(13) + ((sqrt(65)\/sqrt(5) + -3)**2 - sqrt(13)) + 5 + -1*(sqrt(325) + (sqrt(325)*1 - sqrt(325))) + 1 + 5.\nAnswer: 3*sqrt(13) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 - 2*u**3 - 3*u**2\/2 + 4*u. Let a be l(8). Let p = a + -251. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1859? (a) -0.2 (b) 0.09 (c) -0.4 (d) 0.3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -11*d**2 + 3*d + 2. Let f be (14 + 0)\/(-7)*(-6 - -7). List the prime factors of m(f).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/1015 and 173\/242700.\nAnswer: 49268100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*k**3 - c*k - 488611*c + 10*k**3 - 40*k wrt k?\nAnswer: 6*c*k**2 - c + 30*k**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let q = 18 - z. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72204008.\nAnswer: 2, 73, 123637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2284*l**3 - l**4 - 2295*l**3 - 2*l**2 + 17 + 4583*l**3 in the form y*l + u*l**2 + k*l**4 + w + q*l**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-4))\/((-11)\/44). Solve -8*g + 3*g = -3*y + 34, -4*y + 22 = -q*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 16, t: 4}. Give prob of picking 1 t and 1 f.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 + 4541476*l\/7 + 2578125532322\/7.\nAnswer: 2*(l + 1135369)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*p - 3. Suppose -20 = -4*v + h + p*h, -4*v = 2*h. Let l be (-175)\/168 - (-4)\/6. Sort 2\/3, l, v in increasing order.\nAnswer: l, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 5.3. Let n = -6 + y. Which is the second biggest value? (a) n (b) -1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1518 + -815.\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 10*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-75)*5 - (-7 - 96\/8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15391*i**5 - 15*i**4 + 2*i**3 + 3*i**2 - i - 512860?\nAnswer: -923460*i**2 - 360*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2403*l - 1081*l + 23747 + 31997 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73\/4 + -3569\/196. What is the closest to 1\/2 in w, -2, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**3\/6 + 5*k**2\/2 + 31*k. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4202 = 498*x - 307*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -30*v + 2. Suppose 4 - 54 = -5*m. Let s be (2\/(-10))\/(m\/(-20)). Which is the third smallest value? (a) s (b) v (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 630 and -95768.75?\nAnswer: 96398.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221061105?\nAnswer: 3, 5, 19, 258551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-26 - -47)) + 8 + -2\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.364 - 5.636. Let q = -160\/3 - -54. Which is the nearest to h? (a) -1\/2 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 h when three letters picked without replacement from {h: 6, d: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 4926841 times 0.01\nAnswer: 49268.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttlttlllttt. Give prob of picking 4 l.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 479*m - 127*m + 4853 - 981 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 11*a + 10. Let t be k(11). Let l be t\/5 + (0 - -3). Suppose -6*s + l*s + 204000 = 0. Round s to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1789 by 1673.\nAnswer: 1789\/1673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 7*f**4\/24 + f**2. Let o(i) = 20*i. Let q = 16 - 7. Suppose -4*b = -33 + q. Give b*o(d) - 17*g(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -278205, -556404, -834601, -1112796, -1390989?\n\"Answer: x**2 - 278202*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1216.\nAnswer: 1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*q + 14 = 322*q - 648*q - 2*t, 3*q = 5*q + 23*t + 205 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.999993 - 23. Round p to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -27. Suppose -7*o + 39 + j = 0. Suppose 0 = -4*a + o*a - 833. Calculate the remainder when a is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3282080 and -71\/2625664.\nAnswer: 13128320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is -61818 < -61725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18712 divided by 4?\nAnswer: 4678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.7 to 0 decimal places.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-63)\/(-35))\/(((-2)\/(-30))\/1). Let v(b) = -b + 29. Let t be v(f). Does t = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -105 - (-4 + 0 + 1). Let g be 3\/(-2)*b\/9. Solve 5*u - g = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**3 - 16*a**2 - 10*a + 26. Suppose -3*d = d + 64. Let x(m) = -2*m**3 + 3*m**2 + 2*m - 5. What is d*x(b) - 3*w(b)?\nAnswer: 2*b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82444 and 0.7?\nAnswer: 57710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 2*i = -80. Let p be 3*(-456)\/i + (0 - -3). Which is greater: 88 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*f**2)*(0*f**2 + 4*f**2 - 2*f**2) - f**3 + f**3 + 2*f**4 + (-2*f + 0*f - f)*(6*f - f - 2*f)*(-4*f**2 - f**2 + 2*f**2).\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*b + 36*b + 29*b.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from {e: 4, x: 5, v: 5}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 - 4. Let u = -0.6 - 0.4. Let r = u - -1.1. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3005, 5944, 8883?\n\"Answer: 2939*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-15)*(-3)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 9 + 9)*(-y**2 + 0 + 0) - 3*y**4 + 5*y**4 - 6*y**4 + (y + 0 + 0)*(-4*y**3 + 5*y**3 - 2*y**3) - 5*y**4 + 3*y**4 + y**4.\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 6*v + 2 - 5*v + v**2 - 3. Let i be h(1). Let o = -1196 - -1212. What is the highest common factor of o and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/8 of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-10)\/4 + 3)*-6 + -92 + 19563?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367078816 to the power of 1\/2, to the nearest integer?\nAnswer: 19159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 14\/(-9))\/(-21*92\/60858). Solve -m = -3*f - 16, -28 = 4*f - j*m + 11*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(700)*3))**2 + ((sqrt(700) - sqrt(700)*-1)*3*-1)**2.\nAnswer: -1200*sqrt(7) + 50500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m + 55. Let o be p(7). Find s such that -18*s - 10*s + o*s - 30*s**2 + 40 + 5*s**3 + 2*s + 5*s**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57571\/190994 - -16\/1073. Find the common denominator of z and 31\/356.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (48 + (-2 - 17))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2346*r**2 - 42*r - 1. What are the prime factors of k(2)?\nAnswer: 17, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 31763859.350806 - 31763771. Let j = z + -89.2009. Let s = j + 0.85. What is s rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d - 6. Let k(l) = l. Let p(f) = f - 2. Let h(z) = 4*k(z) - p(z). Determine -11*h(c) - 4*n(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/7))\/z)\/z*z**(2\/15)*z)\/(z**(-2)\/z*z*(z\/(z*z**(4\/7)*z))\/z) assuming z is positive.\nAnswer: z**(524\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**3 + 4*p**3 - p**3)*(3*p - 4*p + 2*p) - 223 + 223 + 24*p**4 to the form l*p**4 + a*p + r + o*p**3 + z*p**2 and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 0, -0.4, -1252, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(-19)\/(q\/q**(2\/15)*q**1*q) assuming q is positive.\nAnswer: q**(242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 - 1032*o**2 - 1030*o = 0?\nAnswer: -515, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 2*o - o)*(58 + 47 + 183) + (0*o + 0*o - 2*o)*(2 - 3 + 3).\nAnswer: 284*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + k - 22 = -4*k, 0 = -o - 2*k + 10. Let v = 8 - o. Calculate the smallest common multiple of v and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/104 and 9\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 27 + -2 - (16 - (17 - 31))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, -175, -645, -1371?\n\"Answer: -128*c**2 + 170*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 + -5)) + (-9 - (-63 - (-9 - -6)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkubbuggbb. Give prob of picking 2 g, 1 u, and 1 k.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.16 - -9.2. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mllcmlmclmlllmgmc. What is prob of sequence cgc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5797*c*r**4 - 92*c*r + 32*c wrt r.\nAnswer: 69564*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*g - 2*g + 1190 = 0, -5*q - 1470 = -5*g. Let n be 3\/(-1)*q\/12. Suppose -2*m = -3*t + 94, 0 = -3*t - 3*m + n - 5. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45101529 - 2.\nAnswer: 45101527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 2. Let o be 1 + (2 - 8*1). Let b = o + z. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, h: 4, j: 1}. Give prob of sequence hh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*h - 34, -3*h - 105 = 6*r - 12*r + r for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 288*o**2 - 4038*o + 177. Give h(14).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g + 12*g = -28*g - 126 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -66. Let m(n) = n**2 + 5*n. Determine m(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2*o - 4*c**2 - 567479*c*o + 2*c + 19177 wrt o?\nAnswer: 2*c**2 - 567479*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -96 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 48 = 3*w, 2*v + 98*w - 96*w - 32 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -1708839.\nAnswer: 17088390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6\/42*-2*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 573*o**2 + 115*o**3 + 100*o**3 + 76*o**3 + 344*o**3 wrt o?\nAnswer: 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -0.5. Let d = g - 1.7. Let c = -4678 - -4682. What is the closest to 0 in 2, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by 2\/((-4)\/(1 - 3))*(-975)\/(-39).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47037, -47035, -47033, -47031, -47029, -47027?\n\"Answer: 2*z - 47039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 3446*c + 35. Determine r(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272821350 is divided by 7539.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-236)\/16 - (-12)\/16. Let x = -14 - n. Which is the third biggest value? (a) x (b) 6 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39+690138883813\nAnswer: 690138883852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 78*x**2 - 64*x + 258. What is the units digit of r(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 14. Let a be f(-6). Let r = 89 - a. What are the prime factors of r\/(-2*12\/(-16))?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3)*(-30)\/(-700)*-2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n + 1089 - 11*n**2 - 542 - 539 - n**3. Determine z(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + -5 + -1 + (sqrt(637)*-2)**2 + 0.\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (19 - (2 - -8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -25*x**2 - 811*x - 1442. What is p(-30)?\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39\/5 + 8. Let l = -11\/20 - -1\/20. Which is the smallest value? (a) -0.4 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**3*n*n*n))**(9\/2)*((n*n**(-1\/7)*n)\/n)\/(n**(2\/15)*n))**(-47\/2) assuming n is positive.\nAnswer: n**(67304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 5*u + 16, 17373*v - 17378*v - 2*u = -43 - 37 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*u**2 - 152\/11 + 14\/11*u.\nAnswer: 2*(u - 4)*(3*u + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 3*y**2 + 3*y**2 - y + y + y**2 + (0*y + y + y)*(-y + 3 - 3) as x + r*y**2 + n*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 158 + (2 - 80) + -33?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8052 + -3929371\/488. Let u = w + -17125\/4392. Calculate the common denominator of u and 7\/228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h**(2\/5)*h*h))\/((h*h**(-1\/14)*h*h*h)\/(h*h**(-1\/7)*h)) assuming h is positive.\nAnswer: h**(-173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkff when four letters picked without replacement from {n: 1, k: 1, d: 2, f: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l - 11. Let n be d(7). Let a be 8 + 8 + n*1. Suppose -15*m - 16 = -a*m. Solve 0 = -h - 2*u - 3, -2 = 2*h - u + m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*m - 56, -f - 5*m + 4 = -29. Suppose -f = -5*n + 2. Solve -n*j + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 127, -984, -2083, -3164, -4221, -5248?\n\"Answer: n**3 - 1118*n + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/6 - (-45)\/30. Suppose -5*g + 124 - 1 = -4*c, -q*c + 105 = 5*g. Suppose b - 1 = -0*b, -35 = -5*z + 5*b. What is the remainder when g is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1342 + 7441. What are the prime factors of g?\nAnswer: 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 245, 528, 847, 1220, 1665, 2200?\n\"Answer: 3*d**3 + 262*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -4 + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 0*y**4 + 3*y**4 + (7*y + 5*y - 9*y)*(2*y**3 - y**3 - 3*y**3).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*8\/(-54) + (-18)\/(-81)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011003992 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 229133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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 157738 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 19*r - 828. Give j(43).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:15 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1256, -1200, -1138, -1076, -1020, -976, -950?\n\"Answer: -h**3 + 9*h**2 + 36*h - 1300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9687557.\nAnswer: 11, 880687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*b = 1415*b - 2956*b - 79608 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/6)\/(4\/(-6)). Suppose t = 2*r - n, 0 = -r + 2*r - 2. Let s(l) be the third derivative of l**5\/20 - l**4\/12 - l**3\/6 + 5*l**2 + 5. Calculate s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2587766532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 8 + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 - 34 = 0. Suppose 0 = -3*g - 0*g + 3. Suppose r - g = 0, -5 - 11 = -3*l - r. Calculate the greatest common divisor of p and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*m + 86*m - 382 - 436*m wrt m.\nAnswer: -424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:57 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(-2 - (-7 - -3)). What is the units digit of (-4)\/v - (-31)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/3*1\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + f)*((7*f + 0*f - 2*f)*(3*f + 5*f - 4*f) - f + f - f**2) in the form z*f**3 + b*f**2 + t*f + u and give z.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 707057 or 4949409\/7?\nAnswer: 4949409\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 42*b - 3 = 0. Let x be b - 0 - (-80)\/10. Suppose p = 4, -5*p = 5*d - 51 + x. Solve d = -2*r + 6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3150 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**2 + 8803*i - 12 - 7469*i + 26*i**2 + 14 wrt i.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142195 divided by -228439?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 2*a**2 + a - 1. Let n(o) = 3*o**3 + 4*o + 1. Let q(m) = 2*c(m) - n(m). Let h be q(5). Which is smaller: -40 or h?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 4*y**2 - 4*y**2 + y**3 + 68*y**5 - 28*y**5 + 78*y**5 + (y**3 + y**2 - y**2)*(0 + 0 - 2*y**2) + 4*y**5 - 2*y**5 - 3*y**5.\nAnswer: 116*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = 5*u, 0*u + 2*v = u - 4. Suppose u*j + 3*j = 534. Suppose -5*w - 2*m + 166 = 0, w - 4*m = -4*w + j. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811782?\nAnswer: 2, 3, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*u**3 - 4181580*u**2 - 45612000*u.\nAnswer: -4*u*(u + 95025)*(11*u + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**4\/4 - 2*x**3\/3 - 7*x - 712. Let l(f) = 6*f**3 - 11*f**2 - 34. What is -11*i(o) + 2*l(o)?\nAnswer: o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.02, 21, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*j, 41 + 6 = -5*b - 2*j. Let q(m) = -m**2 - m. Let y(t) = -5*t**2 - 10*t - 2. Let g(x) = 4*q(x) - y(x). Give g(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001766202 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1026\/317 (b) -2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 3, -2\/19, 0, -0.1, -0.1331?\nAnswer: -0.1331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.1, -0.2, 1453?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 15 + d**2 + 4)*((2 - 3 - 1)*(0 + 2 - 4) + 4 + 0 - 6 + (1 + 0 + 1)*(1 - 2 + 2) - 22 + 12 + 15) to the form a + x*d**2 + h*d and give a.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*g*o**2*y - 3*g*o**2 + 533*g + o**2*y + 2*y wrt o.\nAnswer: -104*g*o*y - 6*g*o + 2*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:41 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 36*g - 73*g + 36*g. Let s(n) be the second derivative of 10*n**3\/3 - 2*n. Determine s(p(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 12:38 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**5*x)\/x)**(-26)*(x\/x**(2\/9))**(-2\/49) assuming x is positive.\nAnswer: x**(-9830\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/58048 and 87\/101584?\nAnswer: 406336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -10.76, 1\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.29 and -892061335866.\nAnswer: -892061335866.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 - 7*m. Let n be i(-5). Let r = n + -7. Suppose -r*w + 1882 = 691. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4533343 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1d704 (base 14) to base 2\nAnswer: 10010011011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -29, -31, -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2163*c**3*m*o*w - 1710*c**3*m*w + 4*c**2*m*o*w - 21*c**2*m*o - 2*c*m*o*w + 4*c*m*o + 2*c*o + 2*m wrt c.\nAnswer: 12978*m*o*w - 10260*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1\/3, -37?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 2*u. Let o(x) be the second derivative of 7*x**4\/6 - x**3 - 2*x. Let p be 1495\/138 + 2\/12. Determine p*q(b) - 4*o(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + m + 81 = c, -20 = 5*m. Let o be (2 - 3)*(c + 51). Solve -6*z + 3*n - o = -z, 2*z + 5*n - 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - 1)*4*(-12)\/(-8). Let y be (-15)\/20 - u\/8. Solve -y*l + w = -2*l, 12 = 3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 237510 and 35.\nAnswer: 237510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19564 is divided by 183?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1901*p + 2170 - 854 - 6784 - 2136 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 690\/(-552)*5168\/850.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**3\/9 + 6356*x**2\/3 - 20199368*x\/3 - 4300. Find d such that v(d) = 0.\nAnswer: 3178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 2*j + 3*j**3 + 56 - 2*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 49\/(-196)*4\/(-1). Let s = 81899\/26 - 3148. Let c = s - 6\/13. Put c, w, 3 in descending order.\nAnswer: 3, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v - 8*v + j - 5, -j + 0 - 3 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 179 = 21. Calculate the least common multiple of j and 92.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 9:54 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 2*z**4\/3 - z**3\/6 - 2*z. Is u(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2470850 and 11?\nAnswer: 27179350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6521*b**3*k - 657*b**2*k + b*k + 897455*b - 3 wrt b.\nAnswer: 39126*b*k - 1314*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/(-22))\/(1 + (-8362)\/8320). Let l = p + -297. Sort l, 0.2, 0.05, 2 in decreasing order.\nAnswer: 2, 0.2, l, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8798473.53 milliseconds?\nAnswer: 0.014547740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 8*p = 5*n - 5, 5*n = -3*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7246986 and 2?\nAnswer: 7246986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -21*b**2 + 81*b**2 - 18*b - 5*b**3 - 109*b - 33*b = 0.\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 681519 by -227173.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = 2*r, -17 - 1 = -3*r - d. Suppose 5*j = 31 - r. Suppose 4*m + 3965 = 3*t, -j*m = -3*t + 534 + 3433. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -223257, -4 in decreasing order.\nAnswer: 2, -4, -223257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 d when three letters picked without replacement from zzdddddzzdd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from awjzwz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = 196*c + 761 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149*d**3 - 2188 - 1122 - 7*d**3 - 76*d**3 - 8078 wrt d?\nAnswer: -696*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1039 + -119?\nAnswer: f20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14606 + -14604. Let q(o) be the first derivative of -26 + 0*o**3 + 0*o**4 - 4\/5*o**5 - 25\/2*o**j + 0*o. What is the second derivative of q(l) wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1 + 6*u - 510*u**2 + 1027*u**2 - 507*u**2. Let o be ((-55)\/20)\/((-1)\/(-4)). Let h(q) = 19*q**2 + 11*q + 2. Determine o*b(m) + 6*h(m).\nAnswer: 4*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -196744 (base 15) to base 10\nAnswer: -1236889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40294673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 + 19*j + 17. Let k(q) = q**3 - 5. Give -5*k(s) - o(s).\nAnswer: -s**3 - 19*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08955 - -613.88955. What is v rounded to the nearest ten?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-18)*-4)\/(1987\/71532)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-3)\/((-15)\/395). Let m = a + 114. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/5)\/((4\/(-10))\/((-734)\/(-2202)))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 1\/12*s**4 + 0*s + 7\/6*s**3 + 96*s**2 + 0. Let i(u) = -4*u. Determine i(d(p)).\nAnswer: -8*p - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 143*v + 192. Let l be d(20). Suppose 0 = 23*j - 16*j - l. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.036\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008632696 rounded to 7 dps?\nAnswer: 0.0000863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2. Let d = 11 - 17. Let n be (9 - d)\/((-2)\/(-2)). Let f(b) = -15 + n + b. Determine f(u(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -61 + 103. What is the greatest common factor of 50 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -295.\nAnswer: 4\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 3*g**2 + 1. Suppose -3*i = -4*o + 29, 3*i - 8 = -i - 4*o. Let a be f(i). Is -2 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from qqxqxqxq?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 + 678 = 7*w. Sort w, 0, 5, -2 in descending order.\nAnswer: 5, 0, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m\/m**0)))\/m))\/m*m*m**3)**33 assuming m is positive.\nAnswer: m**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.954 - -511.454. Let d = -778.4 + p. Round d to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2252271, -4504547, -6756823, -9009099?\nAnswer: -11261375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 144132 + 46770 = -454970. What are the prime factors of d?\nAnswer: 37, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3917935526 to the power of 1\/3, to the nearest integer?\nAnswer: 1576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - -2*sqrt(1331)*-3) + (2*(2 + sqrt(1331)))**2.\nAnswer: 121*sqrt(11) + 5340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-2\/19)))\/(p\/(p*p\/(p\/p**(1\/10))))*(p\/(p\/p**19))\/p**26 assuming p is positive.\nAnswer: p**(-1331\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -55 (b) -0.3 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 573146*h**2*j**3 + 2*h**2*j**2 + 15*h**2 + 7*h*j - 571*j**2 wrt j?\nAnswer: 3438876*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36144 or -3?\nAnswer: -36144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 23666. Let x(c) = c**2 + 2. Determine x(v(h)).\nAnswer: 4*h**2 + 94664*h + 560079558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 34, 61, 108, 181, 286, 429, 616?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 3380 (c) 0.2 (d) 3\/5 (e) 0 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -136 + 140.08. Let c = b + -0.08. Sort 0.5, c, 2\/11 in increasing order.\nAnswer: 2\/11, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y + y)*(y**3 - 2*y**3 + 7*y**3).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91844056?\nAnswer: 2, 11480507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 7. Let a be (0 - 0\/3) + 0. Let m be k(a). Let p be 6\/(-18) + m\/(-3). Is 3 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + b**3 + 3*b**3)*(2*b - b - 5*b) + 5*b - 5*b - 6*b**4.\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/9 (c) -0.1 (d) 20\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 2. Let q(o) = 45*o - 3. Let p(l) = -q(l) - 2*u(l). What is p(-1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 5323\nAnswer: 5\/5323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/26*(-1*2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*3*sqrt(432)*1 + 1)*4*4*4)**2.\nAnswer: 870912*sqrt(3) + 143331201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233271*w**3 - 2 + 2 - 368287*w**3.\nAnswer: -601558*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-609)\/63 - -9)*(-3)\/(-6). Is 7415 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -781, 0, 3, -8, -1, 4, 16 in decreasing order.\nAnswer: 16, 4, 3, 0, -1, -8, -781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33003\/35 + -943. Sort -1, 6, i, -1\/9.\nAnswer: -1, -1\/9, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8347 - 1669. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3)\/1 + 15. Suppose 15*n - 13 = h*n. Let l = -22 + 36. Are n and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15116 (base 11) in base 3?\nAnswer: 1002101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/7 + 94592*w\/7 - 283758\/7 = 0.\nAnswer: 3, 47293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 50*s**2 - 51*s + 4. What is q(51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4080533 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74*b**4*h**3 - 21*b**3*h*l - 12*h**3 - 159*l wrt b?\nAnswer: 296*b**3*h**3 - 63*b**2*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1053*u + 614?\nAnswer: 1053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(832) - 2*(sqrt(832) - 4*sqrt(832))) + 1 + -5)**2*-2.\nAnswer: -733856 - 2688*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/43, 39, 2\/11, 2\/29, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -80, -131, -430, -1151, -2468, -4555, -7586, -11735?\n\"Answer: -29*y**3 + 50*y**2 + 2*y - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 980739912 to the nearest integer?\nAnswer: 31317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18718 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83580 = -3*l - 2*f, -4*l - 45*f = -40*f - 111440. What are the prime factors of l?\nAnswer: 2, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, y: 3, j: 3, a: 3, n: 3}. Give prob of picking 1 n, 1 f, and 2 a.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10537324 - 30.9263.\nAnswer: -31.03167324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnrirkrrrknikinin. What is prob of picking 2 i?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y*y**(1\/12))\/y*y)*y**(-4\/13))**45 assuming y is positive.\nAnswer: y**(1425\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 777435.5ug in grams?\nAnswer: 0.7774355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 1\/2*r**2 - 4 + r + r**3 + 1\/4*r**4. Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2 + 2*l**2 - l**2 + 3. Let u be z(1). Solve -2*o + u + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.004 + 0.866. Let w = -2.42 - -1.65. Let l = w + k. Round l to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:46 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142757080 and 3050?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 7:45 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2 - 4*s + 5*s + 7. Let u be (-9)\/36 - (-81)\/(-12). Determine o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 25. Is 0 + z + 632 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -59*r. Let c(o) = -12*o - 1. Let h(n) = -606*n - 48. Let j(d) = 144*c(d) - 3*h(d). Determine j(a(v)).\nAnswer: -5310*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7+28681144061916\nAnswer: 28681144061923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = 0, -3 = 2*j - 2*x - 5. Let o = -64 + 90. Suppose -y = 3*m + 13, 0*m + o = j*y - 4*m. Solve 0 = -y*g + 1 - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2 - 435*h + 49500 = 0. Calculate h.\nAnswer: -220, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*l. Suppose -166 = 2*f + l*t, 2*f + 5*t = -0*t - 175. Let k = -27 - f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -18.43 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*b - 141123, 16*h - 13*h - 141123 = 2*b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*m + 14, 69*m = 72*m - 5*h - 29 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 18 + 2. Suppose -5*w + 107 = f, -3*f + 3*w = 13 - 244. Let c = f + -80. Solve -u = s - c*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113475 + -113479. Suppose 0*o = o. What is the fourth biggest value in -2\/7, m, o, 6\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068195346 rounded to 5 dps?\nAnswer: 0.0682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12471, 24937, 37391, 49827, 62239, 74621, 86967?\nAnswer: 99271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}